diff --git "a/data/dm_maths/full_data/10973_11255.jsonl" "b/data/dm_maths/full_data/10973_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10973_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 69527 (c) -1 (d) 6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*4*-1*sqrt(192))**2 + -2.\nAnswer: 110590","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2121*j**4*s + 8*j**3 + 73*j + 2515*s wrt j?\nAnswer: 25452*j**2*s + 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 divided by 124995?\nAnswer: 140\/24999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 1816.\nAnswer: 1816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u + 18. Let f(p) be the first derivative of p**2 - 36. Determine g(f(t)).\nAnswer: 4*t + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 7 + 2 + 3 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l + 923 = 594*z - 5*l + 294, 2*l = -0*l - 14 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18\/(-42) - 2397\/(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2730)\/(-110) + (-2)\/(-11). Suppose 146 + m = n. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 74592 - 74591.999893506. Round w to six dps.\nAnswer: 0.000106","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206408 is divided by 422.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 15. Let r(z) = -z - 6. Let x be r(-4). Put x, 5, -1, n in ascending order.\nAnswer: x, -1, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 + 150 = -13*u. Let y be (-24 - u)\/(-1*16\/18). Factor 3 - 3\/4*v**2 + y*v.\nAnswer: -3*(v - 4)*(v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/44 + 3\/11. Let i = 669\/2147 + -59\/113. Which is the second smallest value? (a) u (b) i (c) -1 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7472046479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1, 93, 247, 463, 741, 1081, 1483?\n\"Answer: 31*z**2 - z - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j - 3. Let q be o(-5). Let u = -22 + q. What is the common denominator of u and 76\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/4 + (-244)\/16. Let m = g - -18. Suppose 0 = -0*d + 4*d + 5*l - 51, -34 = -d + m*l. Does 5 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.61 - -0.61. Put 3, a, -2\/21 in ascending order.\nAnswer: a, -2\/21, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -17. Let c(y) = -4*y - 9. Let k(h) = -2*h - 4. Let t(w) = i*c(w) - 7*k(w). Suppose -4*u - 5*f - 4 = -f, 0 = -2*u - 4*f - 8. Calculate t(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 39*j**2 + 3*j + 16. Let c be g(-3). Let v = 381 - c. Sort -3, v, 1 in decreasing order.\nAnswer: v, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31816 - -31814. Let u = -104 - -317\/3. Which is the third biggest value? (a) f (b) u (c) -1\/3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -10\/13*s - 2\/13*s**2 + 12\/13 = 0. What is s?\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/1762 and 83\/10?\nAnswer: 8810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 111 - 553\/5. Let d = 0.73 + -30.73. Let o = d + 29. What is the closest to -1\/5 in c, 1, o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131018.\nAnswer: 2, 109, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16432 and 453479?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*r**2 + 5*r + 41 - 3*r**2 - 3*r + 55 wrt r.\nAnswer: 12*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -25, -2\/17, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-5*sqrt(176)*3.\nAnswer: -60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1355 (base 7) to base 10\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -108, -97, -78, -51, -16, 27?\n\"Answer: 4*z**2 - z - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149 = -o + 146. Sort 41, -1, o in descending order.\nAnswer: 41, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 2*r**2 - 2*r - 4. Let q be v(3). Let w be -1*(6\/57)\/(-1). Which is smaller: w or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4003431, -8006862, -12010293, -16013724, -20017155, -24020586?\nAnswer: -28024017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.455893367 minus -1?\nAnswer: -20.455893367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92582 = -26*x + 92998 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = b - 2*p, 2*b + 22 - 128 = 2*p. Let x = -50 - -63. Calculate the remainder when b is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - 0. Let x(u) = 2*u**2 - 6*u - 8. Let n be x(6). Suppose 0 = 4*m + 5*p + n, -m = -p - 0 - 2. Which is smaller: m or o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 105571041 to the nearest integer?\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*x**4 + 2196*x**2 + x**3 - 1037*x**6 - 3*x**4 - 1111*x**6 - x - 3314*x**2 wrt x.\nAnswer: -257760*x**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(-2)*(-9360)\/3960.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8216*g**2 + 8239*g**2 - 16367*g**2.\nAnswer: 88*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 56*l - 475 - 48 - 149. Let s(q) = q - 6. Let f be s(9). Solve f*r - l = -0*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 32601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33460944?\nAnswer: 2, 3, 11, 127, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -25 (b) 0 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -239, 18, 3, -2\/69, 0.1, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (640\/112 - (9 - 3))*7. What is the second smallest value in z, -24, -0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 11:30 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 1 = 4*t, -10*t + 15*t - 2*p + 5 = -21 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 5*w**3 - 38*w**2 + 44*w + 12. Let p(z) = z**3 - z**2 + 2. Let t(v) = -2*p(v) - u(v). Find c such that t(c) = 0.\nAnswer: -2\/7, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 22*u**2 - 3*u - 3. Let x be v(0). Put -1, -2, 41, x in increasing order.\nAnswer: x, -2, -1, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m - 71*m - 3 + 123*m + 4 - 22*m - 2*m**2.\nAnswer: -2*m**2 + 32*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1929289?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = q, 5*q - 2*u + 5*u = 13. Which is smaller: 4\/7 or q?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of r**4\/24 + r**3\/6 - r**2. Let p(j) = -16*j**2 - 1. Let k(y) = -p(y) - t(y). 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 -3*p = -2*h + 4*h - 7, 5*h = 5*p - 20. Let t be (-130)\/(-104)*(51 - h). Calculate the greatest common factor of t and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 7) + 8 + -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -79*q + 75*q + 8. Let u(z) = -21 + 211*z**q + 5*z - 21 + 53. Is u(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, g: 2, h: 1, l: 6, p: 1}. What is prob of sequence phy?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-4)*(6 - 0). Suppose 2*l - 3 = -9. Let d be 2 + (l - -3) + 1. Solve -2*a = -5*r - h, 2*a = 4*a + d*r - 11 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 828, 1050, 1422, 1944, 2616, 3438?\nAnswer: 4410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10, 0, -14?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 27217160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.26314195 to 3 decimal places.\nAnswer: 20.263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*a**3 + 549*a + 569*a - 1780*a + 572*a wrt a?\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3*t = 3*t. Solve t = -6*r + 2*r - 12 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 4*m - 1 + 15, 40 = 4*f - 2*m. What is the lowest common multiple of 19 and f?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 11. Solve -h = q - 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -6 - (-16)\/14.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20879 divided by -2?\nAnswer: -20879\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54006973?\nAnswer: 317, 170369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/12*((-810)\/(-7))\/9.\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-51)\/(-1530))\/(156\/(-1755)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30\/191567 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*t**4 + 0*t - 82\/7*t**2 - 80\/7*t**3 + 0.\nAnswer: 2*t**2*(t - 41)*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -18. Suppose 3*w = q*k + 331, 60 = -2*w - 2*k + 262. Is 9 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.77 + 9.3. Let l = -0.21 + x. Let m = l + -0.3217. Round m to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5044 divided by -97.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31220 + 31219.986157. Round b to 4 dps.\nAnswer: -0.0138","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v**3 + 77 - 6*v**3 + 393 + 2*v**3 - 3*v. What is the units digit of j(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*k - 11*k + 7*k - 6*k**2 - 4*k**4 to the form n*k + x*k**4 + q*k**3 + i + w*k**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 21*((-8)\/(-14))\/(24\/28). Let k(l) = o + 1 - 4*l - 18. Let j(q) = q + 1. What is -9*j(a) - 2*k(a)?\nAnswer: -a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2376920409?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3314 + 3311. Put -5, c, 60 in descending order.\nAnswer: 60, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 10:22 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0015391276 to 6 decimal places.\nAnswer: 0.001539","meta":{"dup_signals":{},"source":"numbers__round_number_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: Suppose 0 = -105*h + 2946306 - 421266. What are the prime factors of h?\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 133136000 to the nearest one million.\nAnswer: 133000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/22 and -65\/92.\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -47234040 divided by 2842?\nAnswer: -16620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - 42. Let t = 316 - g. What are the prime factors of t?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 45 + 2706. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 5:14 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 533 + -531. Solve -2*x = -b*y - x + 7, -2*y - 5*x = -25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4033 + -1783. List the prime factors of u\/2 - (-13 + 2 + 9).\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 3*j - 3. Suppose 9 = 3*z + 3*h, 4*h = -0*z - j*z + 7. Suppose -t + 8 + z = 0. What is the remainder when t is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3\/13 + 301572*k**2\/13 - 11378154240*k\/13 + 749645107200\/13.\nAnswer: -2*(k - 75360)**2*(k - 66)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -144 - -147. Suppose 57 = a*l + 21. Calculate the remainder when 21 is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 5, -2\/7, 3, 15.1, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*v**2 + 14*v**2 + 31*v**2 + 17*v**2.\nAnswer: 28*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3512 + -1888. What is the hundreds digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 10:05 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -25.495284 times 0.1\nAnswer: -2.5495284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqwdqqdqqqyywqyywy. What is prob of picking 1 q and 2 y?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - -2 - (0 + -1). Suppose s = -c - 3. Let n = c + 9. Solve n*z - 3 = z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17771391?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 89 and 88.25?\nAnswer: 0.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 187946\/(-14) + (-2)\/7. Let i = d - 35575. Round i to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 384*h - 385*h = 9, 0 = 3*w - 5*h - 48 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*z - 28 = -2058 for z.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -0.075 (c) -713\/25 (d) -0.4 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of a**6\/24 + 7*a**3\/6 + 4*a**2. Differentiate h(r) wrt r.\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n - 3. Let s be u(-7). Suppose s*r + 107 - 343 = 0. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 370\/77, -2, -105?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2481 = 5*n + 755, 16 = 4*z. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 114434041 and 5470?\nAnswer: 1144340410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 649 - 198. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42150 - -42216. What is the remainder when 1670 is divided by o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -13*y + 25*y + 14 - 5 - 11*y. Let s be z(4). Suppose 0 = -s*v + 577 - 122. Calculate the remainder when 67 is divided by v.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 891adb?\nAnswer: 891b01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/28*(-4)\/8*-4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -2 - (-20)\/5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 611 and 351?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8609*y + y**2 - 4308*y - 4301*y.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 64672 + 3?\nAnswer: 64675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -66845232, -66845224, -66845216, -66845208, -66845200?\n\"Answer: 8*s - 66845240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7.5955 and 0.146.\nAnswer: -7.4495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6859266330 rounded to the nearest 1000000?\nAnswer: -6859000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 10*f**2 - 4*f + 4. Give o(-3).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k. Let o be r(1). Suppose -o*p - 5*w = -72, 3*w = 3*p + 7*w - 94. What is the remainder when p is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2 (b) -27.2 (c) -434 (d) -4\/7 (e) 4\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 250 a factor of 491750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/409938 and -31\/408?\nAnswer: 1639752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -1. Let k(j) = j**2 - 11*j + 23. Let q be -2 + 15\/(-4)*-4 - 4. Let b be k(q). Solve -3*i - i = -5*u - 17, -w*u - 30 = b*i for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12, -3, 26, 81, 168, 293, 462, 681?\n\"Answer: h**3 + 4*h**2 - 10*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 112770\/(-214800)*8\/9?\nAnswer: -7\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(114)*1 + sqrt(114))\/sqrt(6) - sqrt(57)\/sqrt(3)*2 - (1*-2*sqrt(304) + sqrt(304)))*-5)**2.\nAnswer: 7600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - u - 12 = 0, u + 2 = -5*y - 12. Let k be (-2)\/3 + 16\/30. Which is the smallest value? (a) 2 (b) y (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1345050 + 5?\nAnswer: 1345055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*f*w*z + 1690*f*w - f*z - 34946*f - 2*w*z + 2 wrt w?\nAnswer: 3*f*z + 1690*f - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -101, -177, -243, -305, -369?\nAnswer: -441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.02 (b) -0.043 (c) 0.4 (d) -44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44802?\nAnswer: 2, 3, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -78\/391?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -7*g**2 + 10*g**2 + 3*g - 10*g**2 + 2*g + 1. Let i(c) = -20*c**2 + 14*c + 3. Calculate -6*i(r) + 17*m(r).\nAnswer: r**2 + r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17737205 at most 17737204?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 15, -2*i - 23 = -4*m - 1. What is the third derivative of 7*c**3 - m*c**5 - 18*c**2 + c**3 + 3*c**2 - 12*c**3 wrt c?\nAnswer: -180*c**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5497*g = -5644*g - 642 + 1292 + 4054 for g.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -11.4, 0, 0.083?\nAnswer: 0.083","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5430 divide 649387763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of 7\/2*s**2 - 7\/2*s**3 - 1\/12*s**4 + 0 - 3*s. What is the units digit of v(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d + 67. Let a(f) = 17*f - 335. Determine 2*a(h) + 11*t(h).\nAnswer: h + 67","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 135585259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2695455*f + 8687867*f + 360069*f.\nAnswer: 11743391*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -254\nAnswer: -7\/254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3*8147\/12)\/(4\/(-16)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2536, 3099, 4036, 5347, 7032, 9091?\nAnswer: 11524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*g = 13*g + 2940. What is the remainder when g is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*g**3 - 9*g**3 - 3*g**3 + 109*g**2.\nAnswer: -57*g**3 + 109*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/4 - 54\/8. Let b be (-2)\/(-7) - 33\/o. Suppose -3*j + 16 = -w - w, -w - 15 = -5*j. Solve -j*g + 13 = b for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, y: 4, o: 1, b: 2}. What is prob of sequence oby?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 361, 903, 1803, 3235, 5373, 8391, 12463, 17763?\n\"Answer: 29*k**3 + 5*k**2 + 324*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**2 - 471*t + 5578. Determine i(223).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -816200\/13 - -62786. Let v = 4 + -8. What is the third smallest value in -0.2, 0, v, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1820117 divided by 140009?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {r: 11, a: 9}?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 + 23. Which is the third biggest value? (a) 4 (b) 2\/21 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -8.5. Let d = 8.46 + -8.32. What is the biggest value in d, c, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 4. Let x(g) = g + 1. Suppose -2*i + 2 = 4. Calculate i*a(t) + 4*x(t).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 6864 + 6841 = -5*y, 4*g + 4 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 25.51, 4\/7, -1901?\nAnswer: -1901","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 5*v - 8. What is the least common multiple of (-1 - (-2)\/v)*650\/(-52) and 83?\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 36 + 51 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -83217\/153550 + 6\/3071. Calculate the common denominator of -97\/50 and j.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -177.7 + 177.64. Put -1, -0.5, 16, s in decreasing order.\nAnswer: 16, s, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.045085507 rounded to three decimal places?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 2*j - 4*j + 3*j)*(-43 + 43 - 10*j) as o*j**2 + q*j + p and give o.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13.7 - -3.3. Let q = g + -16. What is the closest to -4 in -0.3, q, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 73070?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -33360.927 to the nearest one hundred.\nAnswer: -33400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2526*w**3 - 3770*w + 3770*w - 12538*w**3.\nAnswer: -10012*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 + 12. Suppose -51 = -q - 3*x, q = -0*q - 4*x + o. What is the remainder when q is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-26) + 86445\/117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of 4*c**4 - 32*c**3\/3 + 10*c**2 - 4*c - 19. Factor u(b).\nAnswer: 4*(b - 1)*(2*b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.347 rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22334, -89322, -200966, -357266?\nAnswer: -558222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(392)*-1*-6 - ((sqrt(392) - (sqrt(392) + 1))*-3 + (3 + sqrt(392)*-1 - sqrt(392)) + sqrt(392))) + -1)*2)**2.\nAnswer: -14896*sqrt(2) + 566244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 938356 is divided by 62557?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {l: 2, h: 16}?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -203 - 2?\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -214*q + 70. What are the prime factors of d(-10)?\nAnswer: 2, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of 0*w + 3*w**2 + 1\/12*w**4 + 0 + 0*w**3. Let d(v) be the first derivative of v**2 + 6. Calculate d(x(u)).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15184.25000032 - -15184.2. Let f = 0.05 + q. Round f to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -160 - -162. Suppose 3*i = -5*w + 21, -4*w - 27 = -i + w. What is the derivative of -r + u - i + 1 wrt r?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 39 and 0.5.\nAnswer: 19.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by 74?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + (0 - -2 - 3 - (-96 + 89))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 98146777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 AM and 12:46 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 2.8. Let l = y - -0.1. Let j = 3 + -5. Which is smaller: j or l?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -39, -105, -255, -531, -975, -1629?\n\"Answer: -7*v**3 - 17*v - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 407 + -434. Does 39 divide (-970)\/(-3) - (-9)\/f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 15*c - 25. Let h be m(10). Let u = -108 + h. Is u a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2735 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of c**6\/60 - c**5\/60 + c**4\/12 - c**3\/3 + c**2 + c. Let u(f) be the first derivative of h(f). Does 6 divide u(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8963.002km to micrometers.\nAnswer: 8963002000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5546473?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*n = -214*n + 1385230. What is the hundreds digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**(-1\/4)*r)\/((r*r**6*r*r*r*r)\/r*r))**(-16))**(-1\/3))**(25\/3) assuming r is positive.\nAnswer: r**(-4100\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 + -52. Let d = 78 + o. Suppose 6 = 3*j, -3*u = -4*j + d*j - 317. Is 8 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55278 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 7:22 PM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -2.943\nAnswer: -14.715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 611, 610, 609, 608?\nAnswer: 607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (45 + 5*x - 45 + (4*x - 2*x - 3*x)*(1 + 1 - 4))*(-3*x + x + 3*x)*(14*x**2 + 275*x - 275*x) in the form u*x**3 + a*x**4 + o*x + m + q*x**2 and give a.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -111, -182, -265, -366, -491, -646, -837?\n\"Answer: -w**3 - 64*w - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4335608?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 159 - 206 = 5*p, 195 = 3*i + 3*p. Let r = 9 - -139. Let a = r + i. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = i + 6, -3*b + 5*b + 4 = -3*i. Suppose -5*x - 15 = -i*x, 75 = j + 2*x. Is 27 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 6*o = -9*o + 16, -8 = -y + o. Let q(i) = 52*i + 132. List the prime factors of q(y).\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-2) - (1 + -2). Suppose -s*x = a + 4*a + 249, -3*a + 2*x = 159. Let m = 3 - a. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2633 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 101283 and 2703.\nAnswer: 1721811","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 26 - 30. Let d(s) = 16*s. Let b(n) = -208*n. Let m(g) = 3*b(g) + 40*d(g). What is the lowest common multiple of 8 and m(c)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*x = 510 + 680. Suppose 12 = -2*w - 4*c, -4*w + 4*c + 28 = -c. Suppose 81 = 5*l - w*z, 4*l + 0*z = -z + x. What are the prime factors of l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 53 = 5*j, 0 = -149*j + 144*j - z + 54. Which is bigger: 141\/14 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -41*c + 240 + 320. Suppose -109 = -4*i - 4*u + 3*u, 21 = i - u. Calculate the remainder when i is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/456855 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-282)\/(-94) + -2 + -3. Let n(k) = k + 12. Calculate n(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/5 + 1399*u**2\/5 + 559*u + 1397\/5.\nAnswer: (u + 1)**2*(u + 1397)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-16)*(-5 - 91\/(14 - 1))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of y**4\/4 + y**3\/3 - 6*y. Find the second derivative of g(n) wrt n.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1242*b + 269*b + 2)*(2*b**3 - 5 + 3 - b**3).\nAnswer: -973*b**4 + 1946*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.221 rounded to 1 dp?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4313 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3266 (b) 0.21 (c) 2 (d) 1\/4 (e) -0.1 (f) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139*f**3 - 270*f**3 + 134*f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 10:23 PM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.094039ml to litres.\nAnswer: 0.008094039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 + 1880 = 43*y. Solve 34 = 2*l + y for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2142 and 5334?\nAnswer: 272034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away 22202305?\nAnswer: -22202304.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) 6\/7 (b) 0.33 (c) 1 (d) -128\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-4\/5)\/(d\/d**(-1\/17)))**(6\/11))**(-8\/9) assuming d is positive.\nAnswer: d**(2528\/2805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 46 + -0.026245\nAnswer: 45.973755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 369*g - 16550 = 364*g. What are the prime factors of g?\nAnswer: 2, 5, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 + 73 = -4*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -134373 + 275803. Round r to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1857159?\nAnswer: 3, 206351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 209769704?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2050*s**2 - 49275*s + 1817. What is w(24)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-5)*(-130)\/78?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-1))\/6 - (-672)\/252. Factor -5\/4*t**2 + 0*t + 0 + 5\/2*t**y - 5\/4*t**4.\nAnswer: -5*t**2*(t - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-6*(sqrt(132) + sqrt(132)*1))\/((-2*sqrt(72))\/sqrt(6) + 2*-1*sqrt(12)).\nAnswer: 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 448100 to the nearest ten thousand.\nAnswer: 450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a + 58*a**3 - a**2 + 4 + 0 - 30*a**3 - 29*a**3. Suppose -r = -3*r. Let g be l(r). Solve g*c = -c - 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -155, -170, -209, -284, -407, -590?\nAnswer: -845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13.2 - 12. Let k = t + 3.8. Let w = -0.23 + -0.17. Which is the second biggest value? (a) 5\/3 (b) w (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -0.2, -4615\/12, 2\/7 in descending order.\nAnswer: 27, 2\/7, -0.2, -4615\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - 9 - 4 - (0 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, t: 2, u: 1, g: 2, o: 1}. What is prob of picking 1 y and 1 g?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38*d**3 + 113513*d**2 + 13418978*d.\nAnswer: -228*d + 227026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -183, -13324, -1 in descending order.\nAnswer: -1, -183, -13324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000119466 rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5)\/26540)\/(1\/(-17)). Let t = 1176573\/148624 + u. Let s = t + -65\/16. Are s and 5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4037 + -4014.024. Let h = -0.024 - u. Let l = 12 + h. What is the second biggest value in 0, -5, l?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.50124069 to four dps.\nAnswer: 0.5012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230078 = 61*k - 954054. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 2*q + 22 = 0, 3*o + 14 = -5*q - 2 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a**2 + 95*a - 487. What is h(4)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -905938 and -905939 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 47*o**2 + 44*o + 86. Let t be w(46). Let d(j) = 3*j**3 + 14*j**2 + 3*j - 5. Let g(v) = 4*v**3 + 14*v**2 + 4*v - 6. Calculate t*d(q) + 5*g(q).\nAnswer: 2*q**3 - 14*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, r: 1, m: 1, v: 5, d: 3}. Give prob of sequence dr.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -2*h. Suppose 70 = 3*b - 5*q - 0*q, h = 5*b - 2*q - 85. Is 15 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, -18, 36 in decreasing order.\nAnswer: 36, 4, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 19460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 58*x**3 - 15*x**2 - 9*x - 7. Is n(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1131674, -1131673, -1131672, -1131671, -1131670?\nAnswer: -1131669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224 is divided by 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, 1\/5, 2, -1\/2, 290?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 34*g. Let n(k) = -3*k. Let s(x) = -x**3 - 13*x**2 - 6*x - 75. Let b be s(-13). Let v(h) = 2*h. Let u(o) = b*n(o) + 4*v(o). Calculate c(u(l)).\nAnswer: -34*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from 1391.\nAnswer: 1386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 190 + -62. Let y be 3 + (-2 - (2 + -3)) + a. What is y rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 120708 and 7476?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 181 - 177. Suppose 0 = -2*a + 4*a - c, 4*q - 3*a = 5590. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 394078, 788154, 1182230, 1576306, 1970382?\nAnswer: 2364458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 150946 and 8?\nAnswer: 603784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*l**2 - 63*l**2 + 52*l**2.\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xiifffix. Give prob of picking 2 x.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7751514*g**2 - 3652947*g?\nAnswer: -15503028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 88*k - 868. Give x(-72).\nAnswer: -2020","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 34, 35, 36?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 + 14 - (0 - 1)) + (-4 - -7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k + 1122. Determine d(-47).\nAnswer: 1075","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -2*i**4\/13 + 3118*i**3\/13 + 4920*i**2\/13 - 2806200*i\/13 - 216000 = 0.\nAnswer: -30, -1, 30, 1560","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -1889.\nAnswer: -5\/1889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -135115\/596 - -142\/149. Is -225 less than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 43*v + 194. Give i(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 462 and 4774.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -145700 rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/125)\/(0 - 6\/15)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26429.047 - -26614. Let d = u - 185. What is d rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2059?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1966*x**3 + 3254*x**3 - 7*x - 2*x**2 - 1790*x**3.\nAnswer: -502*x**3 - 2*x**2 - 7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -229 - 13\/6*g**6 - 6\/5*g**5 + 64\/3*g**3 - 1\/2*g**2 + 0*g**4 + 0*g. What is the third derivative of a(w) wrt w?\nAnswer: -780*w**2 - 144*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11996 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: (1 + 2\/(-3))\/((73 + -33)\/(-160))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1191757538 to the nearest integer?\nAnswer: 34522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-21)\/(3*5\/(-15)) - 4. Solve -4*i - v = -z, -z - 5 = 4*z - 2*i for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-17 - -17)\/((-15)\/(-5)). Solve 2*c - 3*l = s, 9*l = 4*l for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 9:18 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 487 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - z - 8. Let k(a) = -a**3 + 11*a + 3*a**2 - 4*a**2 + 10 - 7*a + 0*a**2. Calculate the remainder when v(6) is divided by k(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 d when three letters picked without replacement from {d: 3, m: 5}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/79790 and -17\/6952?\nAnswer: 3510760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -99 in -23522, -1\/2, -0.2, -0.3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -2*b + 2*x - 4, 0 = 4*b - 3*x + 3. Let w(n) = -4*n + 72. Let z be w(17). Solve 8 = -z*g + l, -b*g + 2*g - 21 = -5*l for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7244271 is divided by 32.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -25*r + 12*r**2 - r**3 + 3 + 2 - 4 + 4. What are the prime factors of n(6)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1325, 2163, 3037, 3965, 4965, 6055, 7253?\n\"Answer: 3*r**3 + 817*r + 505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, i: 6, k: 1, b: 3, m: 5}. Give prob of picking 1 k and 1 i.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -150, -1294, -3452, -6624, -10810, -16010, -22224?\n\"Answer: -507*c**2 + 377*c - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 578 + -165. What are the prime factors of m?\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.06, 2\/27, -4, 0.4?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -16*c**2 + 519*c - 3671. What is v(22)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-2)\/3)\/((-81)\/(-27))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.6773502 to one decimal place.\nAnswer: -7.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 217116.\nAnswer: 2, 3, 37, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 41.2 in increasing order.\nAnswer: 0, 2, 41.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7507 + 101?\nAnswer: 7610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 51*h + 50*h - 8, -3 = 3*w - 3*h. Solve w*l - 30 = -3*v, -5 = -2*v + 4*l - 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -31, -3 in decreasing order.\nAnswer: -1, -3, -5, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-36)\/8)\/(-9)*26. Let y = 140 + -23. Calculate the highest common factor of y and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 380 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 2:40 AM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.252535 to two dps.\nAnswer: 2.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 295547.\nAnswer: 7, 42221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 + h + 2. Let q be m(2). Suppose q = 2*y + y - 3. Let p = -36 - -38. Solve y = a + p for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 4*l + 25, 2*l = 4*g - 0 - 30. Let t = -5 + g. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-33)\/6)\/11*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 44 - 81 + 35*x + 40. What is the tens digit of v(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-2)*b)\/b)\/(b\/(b**4*b)))**5*((b\/(b\/(b\/b**1))*b)**(-35))**30 assuming b is positive.\nAnswer: b**(-1040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of j**4\/4 - 5*j**3\/3 - 17*j**2\/2 + 28*j - 1048. Calculate d(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/6)\/((-4)\/48). Let k(a) = -a**3 - 9*a**2 - 9*a - 11. Let m be k(o). What is the units digit of 5\/((-45)\/6)*m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4510406297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 43, 88, 133, 178?\n\"Answer: 45*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -162448433 divided by 5?\nAnswer: -162448433\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26578?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1844*s - 1375*s - 449*s + 217*s.\nAnswer: -3451*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 0.01, 0.46, -1.91, -2, -4?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 62103 - 37492. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnllxnxnq. Give prob of picking 1 x and 2 l.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of -y**3\/6 + 4*y**2 + 2*y. Calculate o(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.45 + -0.95. What is the nearest to 0.2 in i, -5, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 258931852 and 10568.\nAnswer: 5284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 + 15001638*t + 18754095223587.\nAnswer: 3*(t + 2500273)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - i - 1. Let l(a) = 5*a**3 - 5*a**2 + 5*a + 4. Suppose f + 2*f = -4*v + 331, 0 = -4*f + 20. Suppose -v = -14*x - 9. Determine x*p(m) + l(m).\nAnswer: 5*m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -12*l + 35. What is b(4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q - 92 = -116 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4158246 is divided by 297015.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -3.2. Let f = 3 + -3. Let w = f + 0. Sort w, m, -1 in decreasing order.\nAnswer: w, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**3\/13 - 106*p**2\/13 + 206*p\/13 - 102\/13 = 0. What is p?\nAnswer: 1, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.0065, -3\/4, -1.1, -5, 13?\nAnswer: 0.0065","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 6. Suppose u*s = k - 2, -3*k = -5*s - 8 - 3. Suppose -y + 4*y - k = 0. What is the highest common divisor of y and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -275*j**3 - j**2 + j + 4. Let q(n) = -549*n**3 - 3*n**2 + 2*n + 7. Let f(t) = 3*q(t) - 5*s(t). Is f(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4416017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/(-10))\/((-9)\/15). Suppose 3*w - 2*l - 565 = -0*w, 947 = 5*w - u*l. Let g = 300 - w. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.07 (b) 0.4 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62219*m + 63155*m - 1 + 1 to the form l*m + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r - 2*r**2 - 2*r + (2*r + 4*r + 0*r)*(3 - 2*r - 3) + (-7*r + 22 - 22)*(r - 5*r - 2*r) to the form q*r**2 + f + c*r and give q.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, 106, 188, 304, 466?\nAnswer: 686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2*w = 3*a + 13, a = 5*w - 21. Suppose 3*x - x - 208 = 2*s, -3*x - a*s = -340. Calculate the greatest common factor of 12 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 148388 divided by -5\nAnswer: -148388\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 149841 by 3.\nAnswer: 49947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 1.9. Let o = -2 + 10. Suppose 0 = o*y + y + 27. What is the third biggest value in j, y, 0.05?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -203*j + 29. Let l(n) = 1. Calculate 116*l(s) - 4*o(s).\nAnswer: 812*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10716961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 2)*2 + 14. What is the units digit of (-4)\/6*(-306)\/w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 + 4 - 5)*(3 - 4 + 0) + 9 + 5 - 4)*(6*f + 0*f - 4*f)*(-1 + f + 1) to m + w*f + l*f**2 and give l.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11335 and 13999.\nAnswer: 158678665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4476 - 15?\nAnswer: -448b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -60*n + 1036. What is u(17)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 - 4*m + 2. Let n be b(-3). Suppose 3*g - 569 = n*o, 3*g - 4*g + 227 = -2*o. Does 6 divide 5\/15 + o\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 359\/1068 - 1\/356. Let a(w) be the second derivative of n*w**3 + 1\/36*w**4 + 4*w + 0 + 3\/2*w**2. Solve a(s) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3213113 (base 4) in base 5?\nAnswer: -433212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5406 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5169 + 0.0999436.\nAnswer: 5169.0999436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -554, -2169, -4860, -8639, -13518?\nAnswer: -19509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 30 in -8, 1, 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7220, -10530, -13840, -17150, -20460?\n\"Answer: -3310*c - 3910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.976 less than 0?\nAnswer: -6.976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122 - 41 - 5*t**2 - 38 - 43.\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + 1*sqrt(19))*-4*-6)**2.\nAnswer: 43776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -u - 1 - 11, -12 = -5*u - 2*d. Let a be u + 1 + 5\/15. Which is greater: a or 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48637 is divided by 726?\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -6*j - 1. Let z(d) = -4*d - 1. What is 5*v(i) - 7*z(i)?\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3 - 13702*p**2 - 36387519*p + 735711709320.\nAnswer: (p - 10311)**2*(p + 6920)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1556135 and 1517585?\nAnswer: 1285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + 6*g + 2. Let h be l(-6). Let w be (42\/9)\/(h\/9*3). Let a be (2 - 1)\/(w\/14). Is 8\/3 bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 5*k**2 - 3*k - 10. Let t be z(6). Let o be 1*(-1 + t\/2). Solve o*g = 4*g - 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -30.48197\nAnswer: 15.240985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/3 + 755803144*r\/3 + 71404799060035592\/3.\nAnswer: 2*(r + 188950786)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and -3255487.52?\nAnswer: 3255491.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 638072 and 658.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 - 4.2. Let o = 0.04 + 59.96. Let s = 59.74 - o. What is the second biggest value in s, h, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00238714 rounded to five decimal places?\nAnswer: -0.00239","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {z: 4, r: 5, u: 1}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -151614 divided by -6?\nAnswer: 25269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -5*i**2 - 22*i + 48. What is o(2)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b2 (base 13) to base 8.\nAnswer: -743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3674 rounded to 2 dps?\nAnswer: -1.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**2 - 406. Let t(q) = 159*q**2. Give g(t(r)).\nAnswer: 50562*r**4 - 406","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 9 + 111 = 0. Is 7 less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 567*q - 369*q = -4158 for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cewwcceck. What is prob of picking 2 c, 1 k, and 1 w?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 0. Let n(i) = i**2 - 7*i - 6. Let x be n(y). What is the common denominator of x\/(-44) - (-12)\/(-12) and 15\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 5*g**3 + 10*g**2 + 3*g + 4. Let b(x) = 6*x**3 + 11*x**2 + 4*x + 4. Let h(w) = 6*b(w) - 7*p(w). Let c be h(3). Which is bigger: c or -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 + 5)*(-5)\/(-1). Suppose 9*y = q*y + 12. Suppose -y*t + 296 = 107. List the prime factors of t.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -79 + 78.891. Let m = 0.191 - b. Let j = 7.94 + -8. Sort m, 2, j, -2\/17 in decreasing order.\nAnswer: 2, m, j, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011101 - -1111011001011?\nAnswer: 1111100101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -38*x**3 + 951*x**2 - 31*x + 159. Give f(25).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110011001 - 111?\nAnswer: -11110100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1347 - 4602 = 773*y - 112*y for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -300.7026 - -300.3. What is v rounded to two decimal places?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1072 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5975\/3 - -3935\/2. Calculate the common denominator of h and -5\/11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.15 - 36.85. Let l = u + -5.1. Round l to the nearest integer.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*m - 8*m, 2*u = -3*m + 1. Let k be (-525)\/(-100) - u\/8. Solve 4*g + 15 = -k*j, 3*j - 2*g - 15 = -2*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74003 + 100427 = 10*l. What are the prime factors of l?\nAnswer: 17443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 u when three letters picked without replacement from ulnllnclllaauel.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2585653377 to the nearest integer?\nAnswer: 50849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 5*o + 4*c + 50, 0 = -4*o - 5*c - 25 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5829808 or -5829857?\nAnswer: -5829808","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 - -1*128\/(-4). Let h = a + 11. Let r = h - -90. 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 j(p) = 15*p**2 - 17*p + 552. What are the prime factors of j(26)?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 8 = r, -3*b = 3*r + 11 + 4. Let x be r\/4*(-28)\/63. Let m = -13 + 79\/6. What is the third biggest value in 2\/5, x, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**0*z**(-13\/5) assuming z is positive.\nAnswer: z**(-13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + (32 - 50) - -68.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 - 5 - 14*v - 2)*(-17*v + 10*v + 11*v) to z*v**2 + g + b*v and give b.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Solve 26*s + 42*s + 448 = -436 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -3*i**4 - 86064*i**3 - 593719581*i**2 + 340716274380*i + 341309907900 = 0?\nAnswer: -14610, -1, 533","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g. Suppose -j + 497 = 4*u - u, u = 3*j + 169. Let n(q) = -u*q - q**2 + 166*q. Give n(z(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1660894 is divided by 292.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*r - 559*r**4 + 1065*r**2 - 1064*r**2 - 15*r + (-2*r - 2 + 2)*(2 + r - 2)*(r**2 + 0*r**2 + 0*r**2) to w + p*r**2 + u*r + x*r**3 + l*r**4 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + m - 2*a - 240747, m = -3*a + 48163. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one tenth of a millennium?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 34965.\nAnswer: -1\/4995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42 + -36. Solve -5*l + 4 + f = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of j**5\/30 + 11*j**4\/24 - 7*j**3\/6 - 6*j**2. Let h(m) = m - 4 + 5*m + 2*m**2 - m**2. What is 7*h(l) - 4*z(l)?\nAnswer: -l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-104*24\/(-1560))\/(8\/15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30 - 10) + 45 + 27.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -734 and -11.\nAnswer: 8074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 144\/79 - 1333\/948. Let j(m) be the second derivative of w*m**4 - 5*m + 0*m**3 + 11*m**2 + 0. What is the derivative of j(x) wrt x?\nAnswer: 10*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14176020 divided by 7088010\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -8*(-5 - (-7 + 3)). Suppose -6*i + 140 - d = 0. Calculate the greatest common factor of 1166 and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 e when three letters picked without replacement from {e: 2, g: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -51 - -ab?\nAnswer: 5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 958546520 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -29*i*k*u - 4*i*u + 12*k*u wrt i?\nAnswer: -29*k*u - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 4:52 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.17 from -0.335918.\nAnswer: -0.505918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 11:38 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -49647\/5 equal to -9930?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001000110001 + -100?\nAnswer: 100001000101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r, 1 b, and 1 d when four letters picked without replacement from bdbrdddr?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/30*5)\/((-10)\/(-5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -19, -26, -5 in increasing order.\nAnswer: -26, -19, -5, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 + 3*n - 6. Let z be g(5). Let a = z + 22. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47400\/(-12640) + (-28)\/(-8)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uvbrbvvbvub. Give prob of sequence bu.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46258 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -60 + 40. Let f(v) = -v - 12. Calculate the remainder when f(h) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4624 (base 12) to base 16.\nAnswer: -1e7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 136401300 and 49488?\nAnswer: 545605200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*b - 1168 = -44*b. Let a(z) = -14*z + 1. Calculate the remainder when b is divided by a(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 136 - 89. Suppose -2*c - 2*o - o - 53 = 0, -3*c - 2*o - 92 = 0. Let t = 42 + c. What is the remainder when y is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 206221 (base 8) to base 10\nAnswer: 68753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000011310822 rounded to 6 decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 90 + -103 + -32 + -2\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -3, -4, 4.4, -0.1 in decreasing order.\nAnswer: 4.4, -0.1, -2\/5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of p**4\/8 - 5*p**3 + 15*p**2. Let l be u(10). Solve -5*i + 3*i = l for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000253183512 to five dps.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {z: 2, n: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2978770230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 3*a**2 - 5*a + 8. Calculate g(-4).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(12\/(-3))*(-12)\/(-1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 13*a**2 - 13*a + 1. What is the tens digit of x(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(325) + 5)*-5 + 3.\nAnswer: -25*sqrt(13) - 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jngiintjwjjw. What is prob of picking 1 g, 1 w, and 1 t?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 9) in base 3?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1544)\/(-16) + (-3)\/2. Suppose -5*v + 5*b = 285, 0*b + 4*b - 284 = 5*v. Let f = p + v. Does 14 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327047 (base 8) in base 9?\nAnswer: 177044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-0.428.\nAnswer: -0.0428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 47039 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7 + 10 + 7 - 2*g with respect to g.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -608 + 608 - 35*c to the form p*c + n and give p.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 a when four letters picked without replacement from awwwwaawwwwwaw?\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 - -21. Suppose 0 = 2*d + 5*k - 11, d + 2*k + k - 7 = a. Let m = -1 + d. Sort m, -11, 0 in increasing order.\nAnswer: -11, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/240 and -79\/40.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 9*g - 56. Let k be v(8). Let m be 2*((2 - 2) + k). What is the tens digit of m\/8 - (0 - 226)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288 is divided by 74.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 7. Let y(t) = -6. Let x(f) = 4*h(f) + 5*y(f). Find the first derivative of x(g) wrt g.\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u + 22. Let n be q(13). Let x(v) = 45*v**2 - 7*v + 12. Let d be x(5). Suppose n*y = 320 + d. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0044391972 to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 4 = 4*y, -4*y - 5*t + 20 = -2*t for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/35*15*-1. Let s be 1 - ((-11)\/(-4) - 2). Let d = -259.7 - -260.7. Sort s, j, d in increasing order.\nAnswer: j, s, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 101 = v, 14*c - 2*v = 11*c - 72. Sort 1, c, -7.\nAnswer: c, -7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, p: 5, r: 3, j: 4}. Give prob of picking 1 j, 2 z, and 1 p.\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 182*s**2 + 730*s + 9. Let w be d(-4). Is -3\/2629 not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + k**2 + 3*k - 3. Suppose l - 4 = 2*l. Let a(o) be the second derivative of 2*o**3\/3 - 2*o**2 + 12*o. Let f(i) = l*z(i) + 3*a(i). Factor f(w).\nAnswer: 4*w**2*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000193 rounded to six decimal places?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(304) - (sqrt(304) + 1*sqrt(304)))\/sqrt(8) - sqrt(38)))\/(sqrt(2) + 2*(sqrt(6)\/sqrt(3) + sqrt(2)) + sqrt(8)\/sqrt(4)*-2)*-2.\nAnswer: -4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 6 (b) 1\/33 (c) 2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/6 + 70\/45. Let v(r) be the second derivative of 4\/9*r**3 + 2\/45*r**6 - 8\/9*r**4 + 2*r + i*r**5 + 0 + 10\/9*r**2. What is m in v(m) = 0?\nAnswer: -5, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268 is divided by 78.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/4140 and 91\/7452.\nAnswer: 37260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(480))\/(sqrt(6) + sqrt(96)).\nAnswer: -4*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 22*t + 116. Let p be j(14). Let h(m) be the third derivative of -1\/3*m**5 + 0*m**3 + 0 - 1\/3*m**p + 0*m + 9*m**2. Let h(i) = 0. Calculate i.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 686 is divided by 339?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m + 3 - 3 - 7. Let y = -10 - 6. Let k = y + 21. Give p(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(117))*-3 + sqrt(117) + -3 + 3)**2 + ((3 + -3*(sqrt(13) - (sqrt(156)\/sqrt(3))\/sqrt(4)))*-6)**2.\nAnswer: 36*sqrt(13) + 801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 3*o + 15 = 0, 9 = 4*p - 7*o + 8*o for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 25, 37, 49, 61?\n\"Answer: 12*p + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -44171476*x. Let g(z) = z. Calculate g(s(m)).\nAnswer: -44171476*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourty-nine fifths of a minute?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -402, -797, -1194, -1593, -1994, -2397, -2802?\nAnswer: -3209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3*s**2 + 5*s. Let d be f(-5). Suppose -d + 10 = -5*q. Suppose -4*p = 0, 0 = 2*n + 3*n + 2*p. Solve 5*c - 3*c + q = n for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5449*m = 137609 + 4065 for m.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 896 - 894. Let b(m) = 7*m. Calculate b(l).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-22) + (-2960)\/660)*-3. Solve -10*a - m = -17*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n**2 - 1350*n + 17920 = 0.\nAnswer: 14, 256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18 - 15 + 42)*(-13*m**2 + 13*m**2 - 4*m**3) to j*m**3 + b + l*m + s*m**2 and give j.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of s**5\/4 + s**2 + 5*s - 2. Let f(v) be the first derivative of p(v). Differentiate f(b) wrt b.\nAnswer: 15*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 44778991?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120196?\nAnswer: 2, 151, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -3*f, -r - 3 + 5 = 2*f. Let w be 1*(12\/r + 7). Suppose 2 = 4*x + 2*o, 5*x - 9 = x + 5*o. Solve -6*m + w*m = x for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 2*l + 213 + 83, 2*l = a - 77. Calculate the remainder when 221 is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.09 + -0.15. Let s = -0.25 - 0.01. Let n = o + s. Put -0.3, 4, n in decreasing order.\nAnswer: 4, -0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4282, -8567, -12852, -17137, -21422, -25707?\n\"Answer: -4285*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -14866 divided by -4122\nAnswer: 7433\/2061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -33754 times 13237?\nAnswer: -446801698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14032529 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -237, -67, 73, 3 in increasing order.\nAnswer: -237, -67, 3, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-34 - (-7 - 8)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*u - 10*u - 8 = 3*s, -4*u + 28 = 2*s for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.577 plus 320?\nAnswer: 320.577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 4*q**3 - 7*q**2 - 4*q + 3. Suppose 0 = -9*l + 2*l + 91. Let g(n) = 12*n + 1 + 427*n**2 - l*n + n**3 - 428*n**2. Calculate -3*g(b) + x(b).\nAnswer: b**3 - 4*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1655, -0.1, -4, 1, -3\/10, 3 in decreasing order.\nAnswer: 3, 1, -0.1, -3\/10, -4, -1655","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1332 + -197135\/148. Is p at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 1 - (4 - 0) - -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 302.062833+-58656\nAnswer: -58353.937167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 7*h + 119. Let k be f(-15). Let g be (18\/117)\/k*-3. Determine q so that 18\/13*q**4 - g*q**3 + 0 - 10\/13*q**2 - 2\/13*q = 0.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4697020.\nAnswer: 2, 5, 234851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8698039 is divided by 1478.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -45 + 70. Suppose -5*f - j = -5*u, 3*f + 2*u = -0*u - 20. What is the units digit of f\/(-1) - (-2)\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29148?\nAnswer: 2, 3, 7, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -230*s**2 - 206*s - 2 wrt s?\nAnswer: -460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of 397*n**4\/4 + 3337*n**3\/6 + 7139*n**2. Differentiate m(b) with respect to b.\nAnswer: 2382","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 54*n**2 - 1356*n - 1?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q**2 - 28*q + 34. Let w be b(8). Determine o so that 20*o**2 - 3*o**4 + 51*o**3 + 3*o - 30*o**3 + 19*o**w + 15*o - 3*o**5 = 0.\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5526 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + -0.64580659614631.\nAnswer: 0.35419340385369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -225, -206, -155, -66, 67, 250, 489, 790?\nAnswer: 1159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30 - -1211230330?\nAnswer: 1211230410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 41938900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - 170*d - 4924. Let t be y(-133). Let n = 0.3 - 0.8. Which is the closest to -6\/7? (a) n (b) -4\/7 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.56 take away 22281?\nAnswer: -22288.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o - 14. Let i = 34 + -18. Let w be m(i). Suppose 0*s - s + 4*k = -10, 4*k + 8 = 2*s. Sort w, s, -1 in increasing order.\nAnswer: s, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -173609, -347213, -520807, -694391, -867965, -1041529, -1215083?\n\"Answer: 5*r**2 - 173619*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a milligram in micrograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*a - 3*a = -0*a + 22*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -578082*m = 5*z - 578086*m - 127, -3*z = 7*m - 95 for z.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/4589532 and 9\/22?\nAnswer: 50484852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 305201 at most 1\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -141001 and -44.\nAnswer: 6204044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 7:34 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 + 0*i + 0*i)*(0 - 2*i + 0) + 0 + 0 + 3*i**3 + (-2*i + 3 - 3)*(-1 + 1 + i**2) - 6*i**3 + 3*i**3 + 4*i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 505\nAnswer: -252.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 93182.14 years in centuries?\nAnswer: 931.8214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3744?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13818 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 8 = 5*y, 0 = -u + 4*y - 2*y + 5. Let c(z) = -2*z - 1. What is c(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28358601 is divided by 10042?\nAnswer: 10035","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -190, 161, 514, 869, 1226, 1585?\nAnswer: 1946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 8 and -2\/11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2306 is divided by 2297?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -7. Let h(q) = 2*q + u*q - 6*q + 0*q. Let g(a) = a. Give h(g(j)).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 - 32. Let v(w) = -w**3 + 6*w**2 - 6*w + 4. Let k be v(4). Is 4 a factor of (8\/k)\/(z\/(-81))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 PM and 10:53 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 5*d**2 + 5*d - 3. Let m be c(3). Suppose -3*a = -m + 6. Does 17 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -2322031?\nAnswer: 2322022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*v**3 + 27*v**3 - 48*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8748, -34993, -78734, -139971, -218704, -314933, -428658?\n\"Answer: -8748*f**2 - f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = 2 - 2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147 = 2*s - 3*q, -s = -7*q + 10*q - 78. Find the second derivative of s*i**3 - 324*i + 3 + 325*i + 22 wrt i.\nAnswer: 450*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -5*r**2 + r + 2. Let u(p) be the third derivative of 11*p**5\/60 - p**4\/8 - 5*p**3\/6 - 51*p**2. What is 3*u(t) + 7*z(t)?\nAnswer: -2*t**2 - 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 224\/42*27\/(-24)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z + 2. Let n(v) = -v**3 + 6*v**2 + 6. Let m be n(6). Let y(r) = -11 + 18*r + 28 + 7*r. Let q = -283 + 232. Calculate m*y(l) + q*i(l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/((-14)\/(-6) - 2). Let m = -1 + a. Let l(c) be the third derivative of -c**4\/8 - c**2. Let t(d) = 10*d. Calculate m*t(k) + 7*l(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-964*b + 454*b + 381*b - 2)*(1 + 4 - 3) in the form l*b + v and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 4*b + 11, 28 = -m - b - 4*b. Let p = 9 + m. Let t = p - 4. Solve -3*u - 3 = 5*z - 11, -t*z = -u - 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((-22)\/8 - -3). Suppose -4*n + 36 = -5*v + t*v, 3*n + 3*v - 12 = 0. 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 o(d) = -2*d + 2. Let q = -27 - -28. Let y = 1 - 3. Let a be (2\/y)\/(q\/(-4)). Let f(h) = -1. Determine a*f(n) + o(n).\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 119*z - 111*z. Suppose 4*k - 12 = -4. Factor -3*t**2 + 2*t**2 + 3*t**k - 6*t - 5*t**2 + 3*t**z.\nAnswer: 3*t*(t - 2)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2180 divided by -4?\nAnswer: -545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33413 - 14428. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**2 + 80*i - 62. Let n be y(-41). Solve -10 = h + 4*b, 0*h - 5*h - n = 5*b for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 p when three letters picked without replacement from {o: 1, p: 7, x: 1, k: 6}.\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*o - 2335 + 247 = 0. Let c = 273 + o. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 0.34, -0.106, 0.4, -0.07?\nAnswer: -0.106","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 - 14 = -3*h + 3*q, 3*q = 4*h - 49. Suppose -60 = -13*y + h*y. Find the first derivative of -1 + 8*k**4 - 25 - y*k**4 wrt k.\nAnswer: -48*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 933837?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 86 = 26. Let l be (-6)\/(-4)*h\/9. Suppose 4*v + 15 = l*g - 3, -2 = 2*g + 3*v. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123824.\nAnswer: 2, 71, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -178*d + 4521. What is u(25)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2524 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2595 + -2595.000009284. What is f rounded to 7 decimal places?\nAnswer: -0.0000093","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405)*-4 + 4)**2 + -3 - 1*((sqrt(15)\/sqrt(75))**2 + (-1 + sqrt(125) + sqrt(125) + sqrt(125) + sqrt(125) + sqrt(125))**2).\nAnswer: -238*sqrt(5) + 16834\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 40*l**2 + l. Let b(a) = a - 1. Let v(t) = 8*t - 10. Let o(g) = -g**2 + 25*g + 1. Let s be o(25). Let y(r) = s*v(r) - 10*b(r). Determine x(y(w)).\nAnswer: 160*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3 + 37*k**3 + 2*k - 7*k**3 - 1 + 20*k**3. Let d be m(-1). What is the units digit of 9\/(-18)*(d - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -0*n - 4. Suppose 4 = n*i - 0. Suppose -4 = -v - 4*f, 4*v - f + 1 = i*v. Solve -r - 4*r - 10 = v for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 8, 2\/15, 1301 in decreasing order.\nAnswer: 1301, 8, 4, 2\/15, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2335 to two dps.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r + 30. Calculate the smallest common multiple of g(-4) and 70.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, g: 3, j: 8, x: 2, z: 2}. Give prob of sequence jx.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 3. What is the tens digit of 285\/y*2\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/7)\/((-186)\/4). Let r = j + 5\/31. Which is bigger: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4\/55 (b) -2184 (c) -1\/2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4)\/(n**(-2\/3)\/n))\/(n**(-3\/8)\/n**(-7)) assuming n is positive.\nAnswer: n**(-215\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (2*3*sqrt(104))\/sqrt(8))*-3.\nAnswer: -18*sqrt(13) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express g**2 + 43212*g - 6*g**2 - 43210*g - 4*g**2 - g**3 - 2 - 20*g**2 + 2*g**4 in the form l*g**3 + m*g**4 + w*g**2 + d + r*g and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -2\/13, -0.15, -1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -g + 2. Let x = g - -2. Let u = 161 + -165. Put 13, x, u, -1 in ascending order.\nAnswer: u, -1, x, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -18911\/3 + 302623\/48. Find the common denominator of -51\/1672 and c.\nAnswer: 10032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 7*x**2 + 14*x + 8. Let b = 10107 + -10113. Determine v(b).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of s**5\/20 + s**4\/2 + 7*s**3\/6 + 7*s**2\/2 - 6*s. Let o be y(-5). Let r(l) = -3*l - 4. What is r(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 10*l. Let i be a(2). Suppose h = -4*h + 15. Suppose -44 = -h*t - d, i = -3*d - 2*d. Does 6 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*r + 11*r + 30. Let s be 20\/r*(-18)\/8. Suppose s*b - 79 = -7. Is b even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1273*i + 1018*i - 139*i + 1092*i - 481*i)*(5*i**2 - 2*i**4 - 5*i**2).\nAnswer: -5526*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2142419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 7456.4415us?\nAnswer: 0.00000008630140625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 161*x**2 + 9624*x - 125350. Determine t(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 53*t - 267. Calculate the remainder when s(7) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ciyxnibx. What is prob of sequence nxiy?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 12*d**3\/5 + 11908*d**2\/5 + 482768*d\/5 + 31920 = 0.\nAnswer: -950, -42, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b + 1. Let a be o(-2). Let w = -31 + 28. What is the closest to -1 in w, a, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -c**2\/2 + 27*c + 14. Let f be m(15). What is the first derivative of 3 + 0 - 13 - f*d wrt d?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10862 + 10864. Solve -2*s - 17 = 4*x - 7*s, l*s - 2 = 4*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 383383*d**5*j**2 - 88*d*j**2 - 2*d - 143*j**2 - 2 wrt d?\nAnswer: 7667660*d**3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 251005 and 251004 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hq when two letters picked without replacement from hffffqfqhh.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 10*d**2 + 78*d - 7. Let g(r) = -15*r**2 - 118*r + 11. Determine 5*g(a) + 8*u(a).\nAnswer: 5*a**2 + 34*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -4)*(-19)\/(-38).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 21, 4, 8, -314, 0, 1.\nAnswer: -314, -1, 0, 1, 4, 8, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4228*t - 4221*t - 1 + 1 = a + 2, t = 5*a - 24 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101003989?\nAnswer: 127, 795307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -226881*i**2*t**3 - 3*i**2*t**2 + 2*i**2*t - 4*i*t - 1762*t**2 wrt t.\nAnswer: -1361286*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1729699\/199 + -293404495\/6368. Let d = c - -54802. Let k = 513\/16 - d. Calculate the common denominator of 29\/16 and k.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*y**3 + 3*y**3 + 3*y**3 - 64*y**3 + 395*y - 395*y - y**3 + y**3 - 6*y**3 + (-2 + 2 - y**3)*(-3 + 2 + 3).\nAnswer: -53*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32227 - -32360. Calculate the highest common divisor of 1477 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-1))**(5\/11)\/(q\/(q\/(q\/(q\/(q*q**1))*q*q))*q)**(-32) assuming q is positive.\nAnswer: q**(1770\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -3721*w**7\/210 + w**5\/60 + 277*w**4\/12 + w**3 - 6821*w**2. Find the second derivative of k(b) wrt b.\nAnswer: -44652*b**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2188820.\nAnswer: 2, 5, 109441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 v when three letters picked without replacement from vudvhhvvvdvh.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-2) + 2\/(-4). Suppose t = -2*p + 118 + 60. Suppose -33*r + 326 + 433 = 0. What is the remainder when p is divided by r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -210004, -209978, -209954, -209932?\n\"Answer: -b**2 + 29*b - 210032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11*((-3480)\/150 + 23).\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 68*b - 90 + 6*b**2 - 134*b + b**3 + 68*b - 6*b**2 in the form q + f*b + r*b**2 + k*b**3 and give q.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 9. Let c = 9 - z. Let b = c - 4. What is the second smallest value in b, 0.1, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 12, 6, -2, -12, -24?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*t**5 - 34*t**3 - 4211*t**2 wrt t.\nAnswer: 1680*t**2 - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -93 and -0.26.\nAnswer: 24.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 20205, 18647, 17089, 15531, 13973?\n\"Answer: -1558*v + 21763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1726 - 3668 = -2*i. Suppose 39*m = 8*m + i. List the prime factors of m.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -2*z - 3293 + 198, m + 3*z - 636 = 0. What is the hundreds digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1463 - 23*g + 2917 - 1454.\nAnswer: -23*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-57)\/1*(-143)\/22*6\/(-39)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-9\/5)\/(c\/c**(8\/9)))\/(c**17\/(c\/(c\/(c*c*c**(-13)*c))*c*c)) assuming c is positive.\nAnswer: c**(-1211\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32480 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 8 = 15*q. Is -15\/26 <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j + 18. Let a be x(-4). Solve 0 = -2*l - 2 + a for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 1\/2, -11, -1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) 3.74 (c) -2 (d) -14.7 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 11*n + 6. Let w be x(-10). Let p = 7.03 - 7. Let s = -2.03 + p. What is the second smallest value in -0.4, s, w?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1068, 2135, 3216, 4317, 5444, 6603, 7800, 9041?\nAnswer: 10332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 4*d + 16 = -0*i, -2*i = -4*d - 2. Let w(r) = -r**2 + r - 1. Let u(n) = n - 1. Determine i*w(b) - 3*u(b).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 352311?\nAnswer: 3, 117437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22391988*o**3 - 749286*o**2 - 12*o wrt o?\nAnswer: -134351928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 4*m - 165, 2*m = -5*w + m + 909. Suppose -2*u = -p - w, -p = -u - 3*p + 78. Suppose -5*z + u = 28. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 360.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 6208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 8*r**2 - r + 7. Let t be l(8). Let o be 1 + 1 + 2\/t. Suppose o = 3*y - 2*a - 7 - 240, 4*y - 4*a - 324 = 0. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/4*h + 2 + 1\/4*h**2.\nAnswer: (h + 1)*(h + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12793137 to the power of 1\/2, to the nearest integer?\nAnswer: 3577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 + (-2 - -1))*4\/3. Is l < -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/(-8) - (-69)\/30 and 41\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-12)\/(-30) + (-466)\/(-10)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 14*j**2 - 11*j - 7. Let f(d) = 5*d**2 - 4*d - 2. Calculate 11*f(n) - 4*q(n).\nAnswer: -n**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 11) in base 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -8*q**4 + 14*q**2 - q + 126. Suppose 66 = 16*s - 49*s. Let d(o) = -o**4 + 2*o**2 - o. Let c(w) = s*v(w) + 14*d(w). Differentiate c(h) wrt h.\nAnswer: 8*h**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97090*v + 90*v**2 + 2*v**3 - 48886*v - 19*v**2 - 48204*v.\nAnswer: 2*v**3 + 71*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**3 + 18*n**2 - 20*n - 2. Let u be 60\/9*201\/(-134). Give w(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 31*s. Let u(f) = -28*f**2 + 19*f. Give n(u(r)).\nAnswer: -868*r**2 + 589*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/9 + (-131)\/(-3). Calculate the common denominator of 3\/5 and ((-2)\/g)\/(2\/68).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 651 a factor of 36596059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204549 is divided by 4173?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5455, 10634, 15789, 20920, 26027?\n\"Answer: -12*k**2 + 5215*k + 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4252, -9537, -14822, -20107, -25392?\nAnswer: -30677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -412 - 424 + 1664 - 2*l - 422 - 13*l - 393.\nAnswer: -15*l + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -51 (b) -3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/80*92 - 18\/30. Solve 0 = -j - k*j + 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**5\/5 - 4*c**4\/5 - 18*c**3\/5 + 4*c**2\/5 + 16*c\/5 = 0. What is c?\nAnswer: -2, -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 6*t**3 + t**2 - 2*t + 2. Let m be r(1). Suppose 2*s = -3 + m. Differentiate 20*c**2 - 18*c**2 - 17 + s with respect to c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.982 + 0.062. Let g = 99.08 - w. Let x = 121.5 - g. What is x rounded to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -5 (b) -1\/8 (c) 5 (d) 22\/5 (e) 0.3 (f) -51\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -266, -269, -272, -275, -278?\n\"Answer: -3*m - 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 53, 103, 155, 209, 265, 323, 383?\n\"Answer: i**2 + 47*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.4017 in -2, 38, -0.5, -3\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44906 is divided by 135.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1524 - -1523.7. What is the nearest to -4\/71 in x, 2, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 127676?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24*b**2 - 42*b**2 - 12*b**2 - 27*b**5 - 92*b**5 wrt b?\nAnswer: -7140*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -74*a**2. Let c(b) = -2*b**2 - 35226*b + 1. Give c(n(u)).\nAnswer: -10952*u**4 + 2606724*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5479 divided by 7\nAnswer: -5479\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*y**3 - 30*y**3 + 2*y**4 - 54 + 79)*((2 - y - 2)*(1 + 2 - 6) - 25 - 18*y + 25 + (-4 + 0 + 2)*(2 - 2 - 2*y)).\nAnswer: -22*y**5 - 11*y**4 - 275*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1109 - 646 - 279 - 1697 - 380)*(3*q**5 + 3*q**5 + 2*q**5).\nAnswer: -32888*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -999*q*t**3 + 10189*q*t + 5*q + 2*t**3 + 48*t**2 + 1 wrt t?\nAnswer: -5994*q*t + 12*t + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, -43, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(10\/11)*x)\/x**4*x**(2\/13)*x\/x**(2\/41) assuming x is positive.\nAnswer: x**(-5780\/5863)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 229 = 4*y - 22, 5*y = -n - 52. Let o = -76 - n. Let r be (23 - (5 - o)) + 4. Solve 0*w + 3*w - 3*v = 21, -v - r = -5*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/16*(-1296)\/972.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*q + 13*q - 561 = 7*q + 1815 for q.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 36741 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*d + 201 - 201)*(-6 + 3 + 4) - 5*d + d + 3*d - 4*d + 3*d + 0*d + (-1 + 4 + 2)*(-2*d + 4*d - 6*d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.1, -1, 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*c - 0*c. Let a be -2*(-3)\/(-2) - -6. What is the remainder when (-6)\/a - 7*-1 is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 128093?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -56*k. Let o be r(2). Suppose -2*v - 165 = -v. Let d = o - v. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 w when four letters picked without replacement from {n: 1, g: 3, w: 3, u: 6}?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j + 1. Let w(y) = -64146256*y + 64146257*y - 3 + 9. Give 4*k(d) - w(d).\nAnswer: 3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 168.05 - 167. Let v = k - -0.95. Which is smaller: v or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*o + 120*o = 643 + 171 - 78 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*v - 56*v = -2*f + 18168, -f + v + 9088 = 0. List the prime factors of f.\nAnswer: 2, 7, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 143 = -x. Let n = 39 + -26. What is the highest common factor of n and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.5 times -283065\nAnswer: 707662.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -74*a**3*d**2 - 14*a**3*d - 4*a*d wrt d.\nAnswer: -148*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.56 - 13.\nAnswer: -20.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.04 (b) 21 (c) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.044 from -5829564016.\nAnswer: -5829564015.956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 10335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/25*(2025\/18)\/(-45)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*((-117)\/(-9) + -10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2269a8 - 33?\nAnswer: 226975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -6) + -9 - (5 + -8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -289620, -579240, -868860, -1158480?\n\"Answer: -289620*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -550, -2, 1\/30, 1\/6, -21 in ascending order.\nAnswer: -550, -21, -2, 1\/30, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1984938 is divided by 2338.\nAnswer: 2314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 14*w**2 + 9*w + 35. Let r be s(15). Let v = -51 - r. Solve 10 = v*t - 5*p, -12 + 1 = -3*t + 2*p for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 - 5. Suppose d + 21 = g. Does 6 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 95 - -33. What is the lowest common multiple of 2 and r?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134264.6739 seconds in weeks?\nAnswer: 0.22199846875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a centimeter in millimeters?\nAnswer: 118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*q**3 + 124*q**3 - 183*q**3.\nAnswer: 39*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 91831001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 4*w. Let q(g) = -g**2 + 5*g. Let i(m) = 5*a(m) - 4*q(m). Let d(y) = 29*y. Calculate d(i(r)).\nAnswer: -29*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**2 - 34*y + 6. Is 13 a factor of h(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26165, 24955, 23743, 22529, 21313, 20095?\nAnswer: 18875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 5*j - 23, -5*f - 49 + 17 = -4*j. Let h be 45\/f - 2\/(-8). Let l be 3\/(-2 - h) + 0. Which is greater: 0.2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108448632.\nAnswer: 2, 3, 29, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -82*z**2 + 26*z - 189. Let g(m) = -20*m**2 + 6*m - 42. Let f(u) = 9*g(u) - 2*j(u). Let s(x) = 31*x**2 - 5*x. What is -15*f(h) - 6*s(h)?\nAnswer: 54*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5896314 (base 10) to base 11.\nAnswer: 3367a96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/6)\/(-1 - 3\/12). Which is the second biggest value? (a) u (b) -3 (c) 2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**3\/5 + 16144832*t**2 - 1629097582650557*t\/5 + 3258194842404482\/5 = 0. What is t?\nAnswer: 2, 40362079","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1086048841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*j - 66 - 18 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k + 10. Let a be y(-5). What is the second smallest value in 1, 0.1, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 30 = -t. Suppose 4*b + b = t. Suppose 2*w - b - 6 = 0. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 160 and 20000?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/7 in 1, 0.066, 0?\nAnswer: 0.066","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + 10. Let l(v) = -2*v**2 - 20. What is -11*h(f) - 6*l(f)?\nAnswer: f**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2668*g**4 + 1708?\nAnswer: 10672*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 3638110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -2. Let p = d + 1. Calculate the lowest common multiple of 6 + -1 + (p - -1) and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-59)\/78 + 65\/(-468)*-6?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 2 + 2\/(-2). Let m be w + ((-18)\/(-15) - 2). Suppose 4*l - 2 = 5*l. Sort m, -1, l in ascending order.\nAnswer: l, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -175463\/30 - -5848. What is the common denominator of 15\/16 and l?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44 - -4) + 23 + 29.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3)*g)\/g*g**(-6\/5)*(g\/g**(3\/4)*g)**(-1\/24) assuming g is positive.\nAnswer: g**(-2041\/480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 66*m**2. Let d(x) = -2*x**2. What is p(d(c))?\nAnswer: 264*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*c + 13*c - 485*c**3 + 484*c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2. Suppose 0*o - 4*o = -84. Let l(i) = -o + 21 - 5*i. Calculate b(l(d)).\nAnswer: 25*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 + -63. Let i = 22 + v. Let c = 1 - 5. Put c, i, 5 in ascending order.\nAnswer: i, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 194382, 388818, 583362, 778068, 972990, 1168182, 1363698?\n\"Answer: 9*u**3 + 194373*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1307 to three decimal places.\nAnswer: 0.131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245) - (sqrt(245) + 1)*1)*6)**2 + -5*sqrt(60)\/(sqrt(24)\/sqrt(2)) + 0.\nAnswer: -5*sqrt(5) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.06 + -0.14. Let p = 37.4 + -15.1. Let h = 21.3 - p. Which is the biggest value? (a) z (b) h (c) 3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 14) in base 15?\nAnswer: -2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 970 and 582.\nAnswer: 2910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239 is divided by 50.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3135 + 50208?\nAnswer: 46063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 13*j - 12*j - 4472, 0 = -4*y - 3*j + 4480. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of -o**2\/2 + 1. Let c(a) = -4*a - 3. Let j(u) = -7*u - 5. Let f(g) = 5*c(g) - 3*j(g). What is f(p(b))?\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**2 - 120812*a - 2295067 = 0 for a.\nAnswer: -120793, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 4*c = 0, -14*o + 48*o - 5*o + 4*c = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**2 - 2*x**2 + 2*x**4 + (4*x**3 + 4*x**3 - 12*x**3)*(-2*x + 4 - 4) + (-2*x + x + 2*x)*(-8*x**3 - 12*x**3 + 5*x**3) - 2*x**4 + 3*x**4 + x**4.\nAnswer: -3*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 - 43 = 8*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/(-2*sqrt(9)*-2 - sqrt(9)).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 9*v = 120. Let l be (-40355)\/15 - (20\/v + -2). Round l to the nearest 100.\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4958 or 4957?\nAnswer: 4958","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0*r + 20 = 4*s, 3*r - 2*s - 4 = 0. Suppose 2*x - 3 = x. Find the second derivative of -4*o - 2*o**3 + 6*o**3 - 4*o**x - 3*o**r wrt o.\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 r when two letters picked without replacement from {z: 3, r: 3, v: 3, d: 3, c: 4}.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*v = -93*v - 10. Let h(t) be the first derivative of 3 - 1\/4*t**4 + 7\/3*t**3 - 2*t**2 - v*t. Calculate h(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, c: 12}. Give prob of picking 2 c and 1 x.\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27548*s**3*x**5 - s**3*x - 18765*s*x + s - 5*x**5 wrt x.\nAnswer: 550960*s**3*x**3 - 100*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26075775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4003.\nAnswer: 4003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -501*y**3 + 3*y**2 + 2*y**2 - 5*y**2 + 1407*y**3.\nAnswer: 906*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -8*p + 75. Let s be (81\/(-12))\/((-1328)\/64 - -20). What is m(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -320*d - 52. Let x be u(1). Let g = x + 375. Solve -g*r = -0*r + 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 - 2)*(-c - 21 - 50 + 88) to the form x*c + u and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 503 = 98. What is the smallest common multiple of z and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eyyyeeeeeeeeye. Give prob of picking 2 e and 1 y.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46126?\nAnswer: 2, 23063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8, -5, 4\/17?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -347617959, -347617957, -347617955, -347617953, -347617951?\n\"Answer: 2*o - 347617961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 151, 161, 173, 187, 203?\nAnswer: 221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + 7. Let i = 34 - t. Let r(b) = -b**3 - 3*b**2 - 5*b + 2. Let y be r(-5). Calculate the greatest common factor of y and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -360 + 858\/7*g + 3\/7*g**4 + 204\/7*g**3 + 1455\/7*g**2 = 0. Calculate g.\nAnswer: -60, -7, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (1 - (-2 - (-4 - 6))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/2 + 5*l\/2.\nAnswer: l*(l + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 1 = 3, -3*s + 78 = 3*g. Let m be 2\/(-9) - (-87)\/g. Let y be (-1)\/(1*m\/(-6)). Let f(r) = 2*r + 1. Calculate f(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(3))*5*-1 - 4*sqrt(528)\/sqrt(11)) + -3.\nAnswer: -21*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.82155 to two decimal places.\nAnswer: 0.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10 - 823?\nAnswer: -813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 + 35 + -41 - (1 + 5)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 1)*(4 + -5). Suppose -2*t = 4*n - 36 - 94, t + 75 = u*n. Let o be (-13)\/(-2) + (-1)\/(-2). What is the greatest common factor of o and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21.052 + 21. Let m = i - -0.0519921. What is m rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(3) + -2 + -1*sqrt(3) + -1)**2 - (sqrt(33)\/(sqrt(275) + sqrt(11)) - sqrt(54)\/sqrt(2)).\nAnswer: 4 + 17*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that w**2\/4 + 49*w\/4 + 69\/2 = 0.\nAnswer: -46, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(76) + -4 + sqrt(19) + 1)*1.\nAnswer: -3*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1115057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.11, 7\/3, 0.4, 30.2, -2\/17, 3\/4, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of l**2*v**4 + 3*l**2*v**2 - 22*l**2 - 238*l*v**4 wrt v?\nAnswer: 24*l**2*v - 5712*l*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1*sqrt(136) + sqrt(136)))\/(sqrt(648) + 2*sqrt(648)).\nAnswer: -4*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -78, -262, -564, -990, -1546, -2238, -3072, -4054?\n\"Answer: -q**3 - 53*q**2 - 18*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -55a + 10ab?\nAnswer: 851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/2 + 61*o**2\/2 + 575*o\/2 - 637\/2.\nAnswer: (o - 1)*(o + 13)*(o + 49)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 3:54 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73308 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 3*a + 21 = 0, 1 + 9 = 2*l - 2*a for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33461 = 157*x - 29065 for x.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -i. Let l = 2 - i. Let k(o) = -2*o**2 + 2*o - 3. What is k(l)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/8 (b) -5 (c) -2\/13 (d) 2\/3 (e) -2 (f) -304 (g) -10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 708, 1326, 1838, 2244, 2544, 2738?\n\"Answer: -53*x**2 + 777*x - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -35 in 0.4, 1\/594, -0.35, 2?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.71 + 5.29. Let m = 116 - 96. Let g(t) = -t**3 + 19*t**2 + 21*t - 25. Let b be g(m). Put b, d, 1 in decreasing order.\nAnswer: d, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2485462 to the nearest 100000.\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbv when three letters picked without replacement from {v: 7, b: 4}?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -62 - -59. Suppose -4*z - 3 = 1. Let h(m) be the first derivative of m**3\/3 - m**2\/2 + m - 29. Let d(g) = g**3 - 3*g**2 + 4*g - 2. Give f*h(l) + z*d(l).\nAnswer: -l**3 - l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 22*y**2 - 46*y + 15. Give j(20).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 7*b**2. Let z(l) = 8*l + 2*l**2 - l**2 - 6*l**2. Let f(u) = -2*u**2 + 3*u. Let r(n) = 8*f(n) - 3*z(n). Determine r(t(y)).\nAnswer: -49*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 28 = 4*t, 2*j + 28 = -0*t - 2*t. Let v be 34\/102 + t\/(-6). List the prime factors of ((-255)\/v)\/(4\/(-8)).\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20151 - 5012. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -y**4\/4 + 2*y**3\/3 + 5*y**2\/2 - 2*y + 33. Calculate u(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10205 - 10241. Put f, 2\/3, 3, -3, 0.2 in descending order.\nAnswer: 3, 2\/3, 0.2, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - -6) + (-5 - (0 + 4) - (-9 - 29))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4160438 + -1.5.\nAnswer: 4160436.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((-5)\/10 - 0\/(-5)). Let z(w) = 8470*w + 9. Is z(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -4*x + 12. Let w(p) = -p**2 - 22*p - 15. Let z be w(-21). Suppose 2*s = z*s - x. Sort -1, -3, s in ascending order.\nAnswer: -3, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 - 4*w - 11. Give k(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -5 (c) 3.734 (d) 4 (e) 2\/11 (f) -7\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 40 = 46 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(2\/7)\/b**(-1\/20) assuming b is positive.\nAnswer: b**(47\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 303 = -2*o - 185. Let f = 250 + o. Solve 0 = -3*m + m + f for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1445 divided by 17.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.16 - -4. Let t = 5956.84065 + -5957. Let b = o - t. What is b rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 445, 440, 433, 424, 413?\n\"Answer: -u**2 - 2*u + 448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -128726, -514911, -1158552, -2059649, -3218202?\nAnswer: -4634211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 698618548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78, 160, 244, 330, 418, 508, 600?\nAnswer: 694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n = -n + 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281212 is divided by 178.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129719?\nAnswer: 129719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 103\/3 + -34. Let r be 110\/(-3) - (-30155)\/815. Find z, given that 0 + r*z**2 - m*z = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*m**2\/11 - 698*m\/11 - 1904\/11.\nAnswer: 2*(m - 119)*(3*m + 8)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-4))\/((-28)\/8 + 3)*(-5244)\/(-128478)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144 + -130 - (2 - -3).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 4:38 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 14 = 2*y, 0 = -3*y - 2*w + 16 + 4. Suppose -y*d = -0*d - 42666. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (4 + -1 - 6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 176 and 3056.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**6*y)\/(y*y**4*y)*y**0\/y**(-1\/6) assuming y is positive.\nAnswer: y**(7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 1. Let y(u) = -4*u**2 - 5. Let z be ((-15)\/(-2))\/(7\/42). Let d be z\/(-6)*(-6)\/9. Give d*p(l) + y(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.3, -1, -2\/17, 12558?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-eight thirds of a day in minutes?\nAnswer: 27840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 179 + 179 - 358 - 7*t.\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -98919 - 68*i + 98918 - 30*i - i**3 as u*i**3 + m + r*i**2 + s*i and give s.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-five eighths of a tonne?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2. Let g(a) be the second derivative of 3*a**4 + 67*a. Calculate t(g(y)).\nAnswer: -1296*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 29*b + 333. Give y(-11).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 22 = 3*p + 31, 15 = 3*p + x. What is the lowest common multiple of p and 2355?\nAnswer: 2355","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + 5*k + 3. Let q be r(3). Let w = -5 + q. Solve -3*a - l = l + w, 0 = -4*a - l + 3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 27*n**2 - 127*n - 105. Does 15 divide l(-30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 4. Suppose 5 - m = -y. Which is bigger: -3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14666 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4911 is divided by 2449.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 4\/5, -36, 6, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*m + f + 63 = -36*m, -21 = m + 2*f for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 114, 85, 30, -57, -182, -351, -570?\n\"Answer: -s**3 - 7*s**2 - s + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 888.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - 4 - 7 - (-30 - -12 - -28)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 664724.\nAnswer: 7311964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 22411404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 5*g**2 + 785*g - 4842. Calculate b(-163).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.23 (b) 1 (c) 1\/5 (d) -1 (e) -0.16 (f) -2\/41 (g) 1\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + -0.06. Let d = -0.64 + 1. Let g = d + l. Sort 3, g, -5 in decreasing order.\nAnswer: 3, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -820 + 820.0295. Let t = k + 59.2705. Are 2\/5 and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 145?\nAnswer: 1595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - -1. Let d = b - 2. Suppose -i - 1 = -5*u + 21, u + 10 = d*i. Solve a = i*l + 13, -5*a - 3*l + 25 = -8*l for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of -l**7\/280 + l**6\/90 - l**3\/6 + 5*l**2. Let j(x) be the first derivative of v(x). What is the third derivative of j(g) wrt g?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 8*g**4 - 6*g**3 - g**2 - 6*g. Let h(r) = r**3 + r. Let l(o) = 6*h(o) + k(o). What is the third derivative of l(f) wrt f?\nAnswer: 192*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1920, 4027, 6320, 8799, 11464?\n\"Answer: 93*g**2 + 1828*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a - 17. Let y be u(17). Let h(q) be the third derivative of y*q + 0*q**4 + 0 + 1\/3*q**3 - 1\/60*q**5 + q**2. Find the first derivative of h(p) wrt p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 744323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2823, -7365, -13623, -21597, -31287, -42693?\nAnswer: -55815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11005*s + 11033*s - 16315 - 28233. Calculate the greatest common divisor of 222 and s.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.53 - -1.53. What is the nearest to -1 in q, 1, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + v + 20 = -3*v, -z = v + 5. Let m = 6 - z. Suppose 2*u = m*u - 16. Which is smaller: 3 or u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u + 12. Suppose 163 - 185 = 2*q. Calculate x(q).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence la when two letters picked without replacement from {l: 7, a: 4}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11278212*f**2 - 96214*f + 35?\nAnswer: -22556424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -d. Suppose 2*t - 28 = -d. Is t a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a day in hours?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, p: 6, c: 1}. What is prob of picking 1 t and 1 p?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 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: What is the smallest common multiple of 20 and 224?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-212)\/159*36\/8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 489895543 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*(2\/4)\/(4320\/(-576))*2\/(-7).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20128 and 929662?\nAnswer: 1258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 7:37 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l*v**5 - 21233*l*v**2 + 34*l*v + 2*l + 4*v + 17 wrt v?\nAnswer: 40*l*v**3 - 42466*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7054?\nAnswer: 2, 3527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1872) + sqrt(1872) + 0)**2 + -1.\nAnswer: 7487","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 7*q**2 + 6*q - 13. Determine s(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -1. Let n = -1250 - -1248. Let v(l) = -l - 5. What is n*v(m) + 11*z(m)?\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6.580642t?\nAnswer: 6580642000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/10*-4*175\/(-490).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - -1 - (60 - 49).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/54*364\/(-4459).\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 9 - 4*z + 4 - 5 - 9*z.\nAnswer: -13*z - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 25*i**2 + 56*i. Let o be u(27). Let m be 2\/18 - 6\/o. Solve 2*t = -3*l + 9, 2*l + 3*l - 3*t - 34 = m for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 196995 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 2 + 76*a - 5.\nAnswer: 76*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110111101111 (base 2) to base 4.\nAnswer: 313233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 110913 and 726?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*f + 1843647 = 30*f + 624282. What are the prime factors of f?\nAnswer: 5, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 4169 in ascending order.\nAnswer: -5, -3, 4169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-79*p + 15*p**2 + 79*p)*(p + 7*p + p - 3 + 3 + p + (-2 + 0 + 3)*(6*p - 3*p - p)) to h + v*p + g*p**2 + y*p**3 and give y.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 397, 1584, 3561, 6328, 9885, 14232?\n\"Answer: 395*c**2 + 2*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 378, 359, 348, 351, 374, 423?\n\"Answer: u**3 - 2*u**2 - 20*u + 399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1614164 - 100893. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 34 - 140*k**5 - 160*k**2 + 168*k**3 - 156*k - 10 + 136*k**4 + 128*k = 0.\nAnswer: -1, -3\/7, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6*4\/42*(-7)\/(-3). Which is the nearest to 1? (a) x (b) 0.11 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 740112.24 - -785?\nAnswer: 740897.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11180820 is divided by 663?\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-1*sqrt(3200).\nAnswer: 240*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6656613 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34*u**6 + u**3 - 252*u**2 wrt u.\nAnswer: -4080*u**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 14*z**2 + 4*z - 3. Let p be v(-11). Let b be (3 + -2)*(p - 0). Suppose -2*o = 2*o - b. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wv when two letters picked without replacement from wyjvwdyjdwry?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jej when three letters picked without replacement from {j: 11, x: 1, e: 6, z: 1}?\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ctn when three letters picked without replacement from nbttaatacanabcabtbaa?\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -6, -16?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + 19\/(-1)*10\/(-20). Let h be (-205)\/(-18) + (-4)\/18. Let q = h - a. Is q != -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h**2*l**2 - 2*h**2*l - 11*h**2 + 2*h*l**2 + 13*h + 1899385*l**2 + 2744 wrt l?\nAnswer: -4*h**2 + 4*h + 3798770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 412260 is divided by 2511.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + c = -934, -l - 4*c = 382 - 1341. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -82*y + 4*j + 62, -23*y + 13*y + 4*j = -14*y + 24 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 82*k**2 - 71*k + 354. Does 15 divide c(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47 - 42. Suppose -q*i + 1200 = a, 0*i - i = a - 244. Suppose i = 3*o + 4*u, o + 2*u - 83 = -0*o. List the prime factors of o.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*o**6 - 7275*o**5 - o**4 + 2*o**2 + 2424*o - 11 wrt o?\nAnswer: 1680*o**3 - 436500*o**2 - 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h + 9. Calculate q(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 157, 616, 1375, 2434, 3793, 5452?\n\"Answer: 150*j**2 + 9*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-18)*-21*18\/4. What is the greatest common divisor of 21 and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -132, -155, -178?\n\"Answer: -23*m - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3016 is divided by 196.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + m + 420, -4*w - 4*m + 8*m = 420. What is w rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m - 7. Let o be s(5). What is the remainder when 18 is divided by o\/(-3) + (-28)\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-4) + 66\/8 + 9. Suppose -4*n = b - 6. Let u(z) = z**3 - 3*z**2 - 3*z. Let c(f) = -4*f**3 + 10*f**2 + 10*f. Calculate n*c(r) - 10*u(r).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14992 - -26620. Is 171 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 104 = 2*p, -2*d = -5*d - p + 333. Let t = -61 + d. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 30*x - 148. Determine o(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3821 + -2211. Does 35 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -83 + 73. What are the prime factors of 142 + (-8)\/x*5\/(-2)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-7)*y)**(1\/4)*y*y**(3\/4)*y*y\/(y\/(y**(-12\/7)*y))*y)**(-7) assuming y is positive.\nAnswer: y**(-43\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 8*f**5\/7 + 54504*f**4\/7 + 272346*f**3\/7 + 176948*f**2\/7 - 408462*f\/7 + 122544\/7 = 0.\nAnswer: -6808, -3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j*j*((j\/(j\/(((j*j\/(j**(-2\/15)*j))\/j)\/j))*j)\/j)\/j*j))*j**2)\/(j**(-2\/3)\/j**1)*j\/j**3*j*j*j**5*j*((j\/j**1)\/j)**4 assuming j is positive.\nAnswer: j**(34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.1 - -4. Let i = 0.845 + 0.155. Which is the nearest to i? (a) h (b) 1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 688 is divided by 71?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5228877 and 1978494?\nAnswer: 73204278","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 10 = -25. Suppose v*z = -t + 490, -2*z = -5*t - z + 2502. Suppose -154 = -3*r + t. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -12134, -11859, -11592, -11333?\n\"Answer: -4*i**2 + 287*i - 12417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/42*2\/2.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 351 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(9)\/sqrt(3) + sqrt(3) + sqrt(3) + 3)*5.\nAnswer: -10 + 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1093, 2141, 3189, 4237, 5285, 6333?\n\"Answer: 1048*x + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 4*q**3 - 4*q**2 - 36*q + 36 = 0.\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 248*q - 215*q + 5874 + 49285.\nAnswer: 33*q + 55159","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -454338 divided by -18.\nAnswer: 25241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*i + 3757456 - 3757456.\nAnswer: 30*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -30*((-21)\/6 + 3). Let l(p) = -2*p + 2 + c + p. What is the remainder when 66 is divided by l(0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2172 - 2151. What is the remainder when 408 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + -7 + 0 + 11 + 3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/9)\/(j**(-2\/5)*j))**(-39)*((j*j\/j**(-2)*j)**(17\/3))**23 assuming j is positive.\nAnswer: j**(3332\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 - -25. Suppose -c*w + 6 = -2*w, -h = 3*w - 260. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 902*i**3 + 625*i**3 + 899*i**3 - 2431*i**3.\nAnswer: -5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -280 - -119. Let a = u - -287. Does 28 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 4*r - 9. Determine i(-13).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 2 (c) 1 (d) -47\/3 (e) -17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - 12)*(-7)\/(105\/12). Suppose -p*y + 15*y + 4*t - 412 = 0, -273 = -2*y - 3*t. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -73a4a - -66b?\nAnswer: -733ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -34816, -34718, -34620, -34522, -34424?\n\"Answer: 98*h - 34914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -9*h**2. Let i(f) be the first derivative of -18 - 1\/2*f**2 + 0*f. Give i(p(x)).\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 2*k - 31, 4*h - 3 = -3*k - 14. Let i(z) = z**2 + z + 1. Let d be i(-3). Solve c - k = 3*v + 4*c, 0 = -v + c - d for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -f + 2, u + 26 = f + 4*f. Let i be 1\/(-2) + 7*u\/(-2). Suppose -i*c + 11 = 2, -4*g + 5*c + 21 = 0. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - (3\/(-1) - -2). Which is the closest to h? (a) -1\/4 (b) 5 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 0.64, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1387 to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3199 is divided by 215.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4*sqrt(72).\nAnswer: 5 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -245*h + 6. Let l(o) = -286*o + 7. Let y(n) = -7*i(n) + 6*l(n). Let w(c) = -c + 2*c + 0 - 3*c - 2. Determine w(y(p)).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 4*l + 2. Let p(r) = r**2. Let j be p(2). What is m(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(256) - (sqrt(256) - sqrt(256)*-1)) + sqrt(4)*1*5)\/(sqrt(288) - -4*sqrt(288)*1).\nAnswer: -sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -186, -3, -5, 5, 3, 96 in decreasing order.\nAnswer: 96, 5, 3, -3, -5, -186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 11, 68, 183, 374, 659, 1056, 1583, 2258?\n\"Answer: 3*i**3 + 11*i**2 + 3*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 2)*(-1 + 0 + 5)*(-2*q - 4*q + 4*q).\nAnswer: 24*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 - (11 + (-13 - -6)) - 2. What is the closest to 0.1 in 4, u, -1\/29?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 308? (a) 0.3 (b) -5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**4 + 24*i**3 + 54*i**2 + 28*i = 0. Calculate i.\nAnswer: -1, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*u + 110*u + 7 = 8*w, 13*w + 4 = 9*w for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.577 rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1654 - 1582. Calculate the least common multiple of 54 and a.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18547 - -6584183\/355. Let i = 229\/4 - 57. Which is the third biggest value? (a) z (b) i (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166*n - 180*n = -70. Let v be (-3)\/12 + (-2)\/(-8). Factor 3\/4*i**4 + 0*i + v - 3\/4*i**n + 3\/4*i**3 - 3\/4*i**2.\nAnswer: -3*i**2*(i - 1)**2*(i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**3 + 3*c**2 + 2*c + 4. Let m(t) = -2*t**3 - 3*t**2 - 2*t - 3. Suppose -14 = p + 3*y - 28, 3*y - 38 = 5*p. Give p*m(f) - 3*s(f).\nAnswer: 2*f**3 + 3*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1996151057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.04474 - -0.35532. What is v rounded to 3 decimal places?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 37*j**2 - 157*j + 53. Give t(-32).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 20. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.259 rounded to 1 decimal place?\nAnswer: 11.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 16*f + 407. Determine n(-36).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2*(-2*sqrt(108)*3 + sqrt(108)*-1 + -2 + sqrt(108)))**2.\nAnswer: -46704 - 1728*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -327 + 561. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*i = 3. Let g = 2\/4871 + 160723\/48710. What is the common denominator of 21\/(-6) + (-3)\/i and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -10*w + 8*w, -2*j + w = -50. What is the remainder when 955 is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2 + 1678*t**2 + 1677*t**2 + 2*t**3 + 1 + 1678*t**2 - 5030*t**2. Let d(i) = -i**2 - 17*i - 2. Let s be d(-17). Determine z(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1476, 6888, 20826, 40338?\nAnswer: 65424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*5*(sqrt(363) + 2).\nAnswer: 50 + 275*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -344*v + 742*v - 186*v + 8904 = 0 for v.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 17*u**3\/3 + 184*u**2 + 4591*u\/3 + 680 = 0.\nAnswer: -17, -15, -8\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 - 17. Suppose 7*y - 15 = g*y. Let b = -3 - y. Solve 3*u + b = 5*o, -5*o + 5 = -u - 9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((36\/(-60))\/(2\/(-2)))\/(53\/(16430\/1209)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q - 4276 + 4276.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*d + 14*d + 663 - 500 = 3569 for d.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 71 - 71)*(-1 - 2 + 5) + (-1 - 2 - 1)*(0 + 0 + 2*s) + 7 + 2*s - 7.\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(200)\/sqrt(160))**2.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 394459\/18636 - -1\/6212. Calculate the common denominator of 91\/20 and b.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/10 + -9 + (-29343)\/(-195). Let h = s - 141. Which is smaller: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 7*p**2 - 4. Let o be w(-7). Does 10 divide 50\/o*(-48)\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 73203 - 42170. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 213 or -54093?\nAnswer: 213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from {n: 1, g: 3, u: 4, b: 2, s: 7}.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 278*k**3 - 2*k**2 - 6*k + 2028. Let l(m) = 277*m**3 - 3*m**2 - 9*m + 2031. Let v(z) = -4*l(z) + 6*r(z). Differentiate v(q) wrt q.\nAnswer: 1680*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 1359*j**2 - 3*j - 112. Calculate g(0).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 298 + -297.8. Let o = 142 - 144. Which is the nearest to f? (a) o (b) 1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158 = -4*g - 26. Suppose -28*c = -g*c + 13885. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*o + 7*o + 5275. Suppose c + 4*c = o. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -5*d**3 - 142*d**2 + 875*d + 9565. What is t(-32)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 182461207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -27 - (6 + -9 + 14 + -8)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) 15 (b) 31 (c) 571\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((-108)\/81)*(-21)\/9*2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, l: 3, a: 2, y: 3, x: 3, h: 7}. What is prob of sequence lay?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + (-1 + 1 - 1). Solve y - 2 = -i + 4*i, 2*y - 3*i + 2 = z for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 8750*m**2 - 29*m + 30. Is t(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - w - 2. Suppose x = -2*x. Let v = x - -3. Calculate the lowest common multiple of k(v) and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 2\/19, 14\/11, 37, 2?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 187677792 and 4079952?\nAnswer: 187677792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -217338.081 + -509245.\nAnswer: -726583.081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**4\/4 - 4*s**3 - 201*s**2\/4 - 145*s - 125 = 0. Calculate s.\nAnswer: -5, -2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 26774600 and 4.97194.\nAnswer: 26774604.97194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 215807*v - 14674878. What is b(68)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1597?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-4)\/(-2) + (-37)\/3 and (-6)\/4 - (-195)\/(-54).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-1))**(-5\/3))**4 assuming z is positive.\nAnswer: z**(-40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/80*10*54\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -z - 296, -7*k - 1598 = -18*k - 2*z. What is the remainder when k is divided by 136?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m**2. Let q(a) be the third derivative of a**8\/4032 - 11*a**5\/60 + 66*a**2. Let r(z) be the third derivative of q(z). Give w(r(s)).\nAnswer: 75*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2479\/29 + 12511\/145. Suppose 4*s + 3*r = 4*r - 4, 5*s - 3*r - 2 = 0. Let b be (-4 - s)*15\/(-6). What is the third biggest value in -0.9, b, y?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 3:38 PM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -l**2\/2 + 2*l - 1. Let x = -1 + -4. Let k(v) be the third derivative of -v**4\/24 + v**3\/3 - 742*v**2. Give x*k(h) + 6*p(h).\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*s - 15*s - 330 = 0. Calculate the highest common factor of s and 1914.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (410\/(-4))\/(-41)*6\/9?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -2\/11, -2, -3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 358 + -54?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1846 - -12.\nAnswer: 1858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of z**3\/7 - 27*z**2\/2 - 269. Factor k(q).\nAnswer: 3*q*(q - 63)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -49*a**5 + 157*a**2 - 83*a**5 - 262*a**5 - 319*a**2 - 335*a**2 wrt a?\nAnswer: -23640*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-6)\/3*8\/(-4))\/((-546)\/13)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 182 = g, 4*u + 0*g + 250 = -5*g. Let w = u - -240. Let b be w\/((-394)\/400 - -1). What is b rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -973042 (base 12) in base 2?\nAnswer: -1001000111011101110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 0 = -i + t, 3*i + 19 = 4*t. Let l(z) = -5*z - 3. Let b be l(i). Suppose -b*q + 7 = -11. Calculate the remainder when 13 is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.063380378 rounded to four dps?\nAnswer: -0.0634","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/10 + 12\/(-10). Let u(i) = -5*i**3 + 8*i**2 + 4*i - 7. Let q(v) = -v**3 + v**2 + v - 1. Let s(g) = h*u(g) + 4*q(g). What is s(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 2 = 6 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*x**3 + 6*x**3 - 59*x**3 - 46*x**3 - 47*x**3.\nAnswer: -38*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is r in r**3 + 2*r**2 - 11*r - 12 = 0?\nAnswer: -4, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39579 is divided by 136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - -3509921789.\nAnswer: 3509921794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, w: 7, x: 3, c: 3, i: 4}. What is prob of picking 1 w and 1 f?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44*c**6 - 5*c**4 - c**2 - 472.\nAnswer: -5280*c**3 - 120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/(-10)*371\/((-27825)\/(-1250))?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5760)\/(-96)*50340\/(-1 + -2). Round b to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -1\/848, 1\/5, -3 in ascending order.\nAnswer: -5, -3, -2, -1\/848, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 4*b**2 - 7*b - 9. Let t be p(-5). Let r be ((-3 - 295) + t)\/((-6)\/4000). What is r rounded to the nearest ten thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pdpddpp. Give prob of sequence pppd.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -56263, -56284, -56309, -56338, -56371, -56408?\n\"Answer: -2*d**2 - 15*d - 56246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - c - 2)*(-5 + 1 + 3) + 5*c + 2*c - 6*c + 295*c - 5604 + 5604 + (10 + 3*c - 10)*(6 - 2 - 3) to v + q*c and give q.\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 338, 1428, 3230, 5738, 8946, 12848, 17438, 22710?\nAnswer: 28658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 6874?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 + 0.07896.\nAnswer: 0.08896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (36 - 36 + 7*s)*(-2*s - 2 - 10 + 3) - 2*s**2 + s**2 + 6*s**2 + 1 to l + t*s + h*s**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 14*v**3 - 2*v**2 + 8*v - 5. Let q(l) = 5*l**3 - l**2 + 3*l - 2. Give -3*k(a) + 8*q(a).\nAnswer: -2*a**3 - 2*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 219*j**3 - 118*j**3 + 42*j**3 + (3 - 3 - 2*j)*(j**2 + 0*j + 0*j) - 4*j**3 - 3*j**3 + 5*j**3.\nAnswer: 139*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from omyhqhhhqm. What is prob of picking 1 o, 2 h, and 1 q?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 532970304 a multiple of 170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**2 + 24*c - 31. Calculate l(-13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21521255, -43042512, -64563769, -86085026, -107606283?\nAnswer: -129127540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 280 = 5*w. Let a = w + -47. Suppose -5*f - 5*s = -f - 15, 5*f + 2*s - a = 0. Solve b + 2*r + 9 = 5*r, 0 = 3*b - f*r + 15 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14.627 + 1.497. Let i = z - -13. Let f = -5.13 - i. Which is the nearest to -2? (a) -1\/3 (b) -0.4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5089 take away 9.621?\nAnswer: -5098.621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q - 31 = 30*q - 50*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*y - 9 = 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 5 + (43 + 0 - 12)*(-2 - 3 + 3) - 1 + 0 + 2)*(-4*r + 5*r - 2*r).\nAnswer: 62*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 44*w**3 - 3*w**2 + 7. Let p(r) = -21*r**3 + 2*r**2 - 4. Give 3*j(s) + 5*p(s).\nAnswer: 27*s**3 + s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/13 or -1596829?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -152094 divided by -6.\nAnswer: 25349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/105 and -59\/75.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h - 6. Let k be l(3). Find the third derivative of 126*g - 3*g**2 - 65*g - 15*g**k - 64*g wrt g.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -39 + 5699?\nAnswer: 5660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/4 and 61\/1718514.\nAnswer: 3437028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 900.3991t?\nAnswer: 900399100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63694227.\nAnswer: 3, 1069, 19861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, -85\/57, 2\/11, 0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 112, 190, 2 in decreasing order.\nAnswer: 190, 112, 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -815915*c**6 + 2*c**5 + 3*c**3 + 5*c**2 - 64739*c + 1 wrt c.\nAnswer: -97909800*c**3 + 120*c**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*a - 1\/4*a**2 + 0 + 1\/4*a**3.\nAnswer: a**2*(a - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/5 - 714*p\/5 + 127449\/5.\nAnswer: (p - 357)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b + 5. Let l be g(-2). Let m be (-2)\/l*(-2)\/4. Factor 1\/3*w**3 + w**2 + m + w.\nAnswer: (w + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -74, -100, -186, -362, -658?\n\"Answer: -5*d**3 + 9*d - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-82)\/(-1148))\/(1\/4).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212 = -126*g + 131*g - 3222. What is the greatest common divisor of g and 2924?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6988697\/8 + -875320. Let l = -1652793\/952 - r. Let c = l + 48\/17. Which is smaller: c or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 176*h**2 - 1748*h - 647 + 1742*h - 731 wrt h?\nAnswer: 352*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = t + t + 8, 3*j = 12. Does 6 divide (-6)\/(t\/1)*-4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(27\/(-12))*-1*1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8974 is divided by 374?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - -0.74\nAnswer: 0.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j**2 + 3*j + 28. Determine o(-5).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - 4*q + 6. Let r be k(4). Let c(o) = 8*o - 30. Let u be c(6). What is the highest common factor of r and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 778126.\nAnswer: 2, 19, 20477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t + t**4 + 6*t**4 + 8*t**4 - t**2 to the form v + i*t**2 + o*t**4 + s*t**3 + l*t and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 294*d - 26135 = 89113. Calculate the smallest common multiple of d and 245.\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102168174 is divided by 34.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 100, 205, 314, 427, 544, 665, 790?\nAnswer: 919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -335 * -1\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 48 = 2*r, -7*r + 3*c + 107 = -2*r. Solve -r = -4*z - 3*u, -6*z + 2*z + 18 = u for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157 is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 5:20 PM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2. Suppose 4992*x = 4993*x + 2. Let c(g) = g**3 + g. What is x*c(t) - 4*m(t)?\nAnswer: -2*t**3 - 4*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81, -78, -75, -72?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gaggaggaaaga. Give prob of sequence aa.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2482 = -49*i + 2075. What is the remainder when i is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 75\/4 of a century?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eueeeeueeeeuee. Give prob of sequence uu.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 8*r**2 - 9*r - 2. Let m(c) = -3*c**3 - 25*c**2 + 28*c + 5. Let u(z) = -7*b(z) - 2*m(z). Is u(-7) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 10:49 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/4, -94, 1\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i**2 + 3*i**2 + i**2 + 4 + 3*i**3. Let z(p) = p**3 + 2*p**2 + 1. Suppose -5*q - 10 = 0, -8*q = 2*o - 11*q - 10. Give o*g(y) - 7*z(y).\nAnswer: -y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -105, -0.32605?\nAnswer: -0.32605","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*s + 85 - 1499 = 0 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*c**2 + 3*c**2 - 2*c**2)*(c - c + c) + (3*c**3 - 4*c**3 + 2*c**3)*(0 - 1 + 3)*(9 - 2 + 9)*(4 + 1 - 2) to d*c + z*c**2 + y*c**3 + m and give y.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 15*h + 901. What is the hundreds digit of r(-61)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 36*x**3 - 8*x**2 - 16*x + 3. Calculate j(-2).\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d - 63. Let v be g(-36). Let b = 9 - 55. Let q = b - v. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 236 in -2\/11, 0.1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 544 and 3423800.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 240484 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12.3 + 12.3107. Round t to 3 dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9877033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4232*j = -4235*j - 12, 0 = -7*i + 2*j + 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) 2\/5 (c) -592347.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -5*n**3 - 6*n**2 - 36*n + 10. Let w(r) = 6*r**3 + 5*r**2 + 37*r - 8. Let m(p) = -7*d(p) - 6*w(p). Let f be m(14). Solve f*h + 33 = -5*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7333.085ng?\nAnswer: 7.333085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 4472*c - 22369. Give i(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, o: 3, n: 5, q: 2, c: 1, e: 7}. What is prob of sequence nc?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3*y = 105, -y = 5*p - 2*y - 145. What is the greatest common factor of p and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbb when four letters picked without replacement from vbbbbuvbbvvbu.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -13485*x. Let f(m) = -181*m. Calculate -372*f(k) + 5*h(k).\nAnswer: -93*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c + c - 3*c - 3*c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/8*-2*15\/90?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 486.53 rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of b**3\/3 - 3*b**2 + 10*b + 11. Let w be y(5). Solve 4*q + v - w = 0, -q + v + 0*v = 5 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -180 - -175. Let w(c) = -10*c**3 - 6*c**2 - 4*c - 3. Is w(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/(-2) + (0 - 3). Suppose 3*q - 5*b + 72 = -u*b, 5*b + 114 = -4*q. Is 86\/7 + q\/91 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 250 divide 556304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-372*y - 255*y + 135*y)*((2 + 1 - 2)*(4 - 1 - 4) - 3 + 0 + 6)*(0*y**3 + y**3 - 3*y**3).\nAnswer: 1968*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 times 0.55?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/6 - 84*p**2 + 14112*p - 790272.\nAnswer: (p - 168)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwvvvvrwvxpxvps. What is prob of sequence pp?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.97 + -0.03. Let w = -1\/37 + 79\/185. Which is smaller: c or w?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*o**2 - 5*o**2 + 0*o**2 - 4*o**2 + 2*o**2 + 4*o**2 + (12*o - 27*o - 46*o)*(o + 3*o - 5*o) - 4*o + 4*o + 5*o**2.\nAnswer: 69*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 329481*b - 329432*b - 3528 = 0 for b.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8237*g - 63 + 63 + 22*g**3 - 24*g**3 + 8237*g - 16474*g.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xndooddodnnnn. What is prob of sequence nn?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w = -4*w + 120. Is w at least -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 22*p - 1. Calculate y(1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 8)*(0 + 0 - 2)*(-6*j + 4 - 8*j + 15*j).\nAnswer: -16*j - 64","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 66810827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 41454 = 22*c. What is the common denominator of 45\/(-24)*(-3)\/(c\/(-7)) and 9\/32?\nAnswer: 1504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 159 and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0\/((-2)\/2))\/(-1). Let i(n) = -n**3 + 4*n**2 - n. Let w be i(2). Suppose -3*q + 5*q + 3*m = w, -6 = -2*q + m. Solve h + q*h = a for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2222.443 to the nearest ten.\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44194*u = -44683*u + 38142 for u.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 180 and 28?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - m + 7*m)*(5 - 4 - 4)*((-5*m + 0*m + 3*m)*(-2*m - m + m) + 163*m**2 - m**2 + 5*m**2).\nAnswer: -2565*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11452500 rounded to the nearest 10000?\nAnswer: 11450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-14308)\/(-686) - 6\/7\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 30 - 3583?\nAnswer: -3553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + 1. Let j be y(1). Let x be 86\/144 - (-6)\/(-27). Let h = -7\/40 + x. What is the third biggest value in h, -6\/5, j?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/66*-21 - 0) + (-6 - -5).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.12, 0, 4?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i**2 - 182*i - 1612. Calculate x(-58).\nAnswer: -1148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(3\/7)\/w*w\/w**(-2\/7))\/(w*(w\/(w\/w**(-5)))\/w*w**3))**48 assuming w is positive.\nAnswer: w**(912\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 m when four letters picked without replacement from {d: 4, s: 5, m: 3, x: 4, q: 3}?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, p: 1, d: 7, f: 1, y: 2, n: 2}. What is prob of sequence ydpd?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(2 + 1) + 3. Let g be 148\/3 + 2\/3. Suppose g = r*y + 2*y. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -4*a - 30. Let r be w(6). Let c = r - -70. Solve 5*p - 4 = c for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a - 13. Suppose -f = -4*p - 61, 3*f - 2*f - 1 = 0. Let d be z(p). Suppose d = b + 4*q - 56, 0 = -3*q. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - (2 - (10 + 3))) + (2 - -1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 5*u = 0, 4*h = h - 3*u. Suppose 5*m - 19 = 2*a, h*a = -3*m + 4*a + 3. Solve 3*s - 23 = -m*j, 5*s - 2*j = -0*s - 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1504 and 64?\nAnswer: 3008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2202747682 to the nearest integer?\nAnswer: 1301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b = -242 + 284 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 217194 and 217180 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 10:55 PM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -f**8\/16 - 19*f**7\/70 - f**6\/5 + f**5\/5 + f**2 - 9. Let w(z) be the second derivative of c(z). Solve w(i) = 0 for i.\nAnswer: -2, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1386 - 0.1417585. What is f rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19864 or -4\/3?\nAnswer: 19864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*l - l + 2*l)*(15 + 4 + 5).\nAnswer: -168*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - 5726.082275385.\nAnswer: -5727.082275385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 2:57 PM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 293, 295, 299, 305, 313?\n\"Answer: g**2 - g + 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 + 255*f + 114409. Determine j(-234).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -0.2 (b) -2\/7 (c) 11 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+72342\nAnswer: 72342.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 7*r. Let h = -7 - -6. What is the remainder when 21\/1 - 2 - h is divided by j(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -142320 times 689\nAnswer: -98058480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27338.\nAnswer: 2, 13669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-987)\/12 + (-1)\/(-4). Let j be 4*(g\/8 - -1). Let s = -25 - j. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 + -0.2. Let x = -11.9 + 12. Let h = x - q. Put 4, h, -0.2 in ascending order.\nAnswer: -0.2, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/66245292 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134 is divided by 130?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/9 + (-75)\/(-27). Suppose 0 = z*n - 7*n + 8. Let i = n - 0. What is the greatest common factor of 2 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -11*p**2. Let z(f) = -24178*f. Calculate z(y(x)).\nAnswer: 265958*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (((-2)\/5)\/1)\/(1\/(-190)). Let i be 5 - (2 - 0\/1). Suppose i*t = -t + o. List the prime factors of t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1227\/19 greater than or equal to 65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*y = 7*g + 3*g - 70, -300*y = 3*g - 305*y + 65 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a**2 + a**2 + 0*a**2. Let h(i) = i + 2. Let z(d) = -2*d - 9 - 5*d + 3*d. Let j(b) = 9*h(b) + 2*z(b). Give j(u(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1796 is divided by 63?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 3765?\nAnswer: 3765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 10*i - 23. What is the remainder when 95 is divided by b(13)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 + 23. Suppose -12 + 2 = -f*i. Let h(j) = 2*j - 5. Determine h(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8782*m**2 - 15 + 7 + 3267*m**2 + 8 to a + q*m**2 + n*m and give q.\nAnswer: -5515","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 2 + 0*v + v)*(-2 + 4 - 3)*(-3 + 3 + v)*(-4 - 6 - 4).\nAnswer: -14*v**2 - 28*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -5*q + 6, 0 = 3*t + 4*q - 0 - 4. Suppose 2*j = -5*i + 149, i - t*j - 50 = -i. List the prime factors of i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1933826?\nAnswer: 2, 966913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 8. Let p be (-69)\/15 - (-2)\/u. Let b(r) = -2*r - 7. Give b(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 7*m**2 + 7*m - 11. Give c(-6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -3*a + 2*a. Suppose a = d + 4*u + 10, -21*d - 5*u = -26*d + 50. Solve 0 = 5*o + d - 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341b4 (base 14) in base 9?\nAnswer: 212562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -270*j - 261*j + 533*j + 750 + (-2 - 2 + 1)*(4*j - 2*j - j).\nAnswer: -j + 750","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2409 - 522 = -3*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84386438 to the power of 1\/2, to the nearest integer?\nAnswer: 9186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 2*a. Let b = -83 + 85. Solve 2*y + 2 = 4*v, a*y - 14 = -4*v - b*y for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4761439\/7 smaller than -680206?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + t + t)*(-60*t + 3*t**4 + 26*t + 25*t + (t**2 + 0*t**2 + 0*t**2)*(t**2 - 4 + 4)).\nAnswer: 4*t**5 - 9*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 74 and 426462.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + 5*g - 3. Let i be d(4). Let n(y) = 4 - 2*y + 4*y - y. Let p be n(-6). Which is bigger: p or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 15) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 356193853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(3)*-1 + 5 - (0 + 0 + sqrt(3) - (4 + sqrt(6)\/sqrt(2))))**2.\nAnswer: -8*sqrt(3) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -234 + 216.9. Let u = l + 17.1. What is the smallest value in -5, 23, u?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -18. Let v = f - -33. Is v a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/56 and 173\/7260.\nAnswer: 101640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 9:54 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-60)\/(-14))\/((-6)\/(-420)). Round v to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b + 186 - 172 - 6*b + 2*b. What is the remainder when 11 is divided by p(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 10*o - 6*o - 3424, -g = o + 1724. What is g rounded to the nearest 10?\nAnswer: -1720","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 38996023.\nAnswer: 15598409.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 81 - 42. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -33 in -1372, -5\/6, 3?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 197135 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 9) to base 15.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236702538 is divided by 59175634?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 0*m = -3*m - 71, 5*i = 4*m + 89. Suppose 3*l = 5*t + 17, -2*t - 5 = -0*l - l. Let p = i - l. Solve -12 = -4*q + v, 3*q + v - p = 2*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 48 - 6. Let y = l - 19. Solve 0 = -y*i - 3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 190*f + 57. Let g(q) = -3*q - 1. Give -114*g(u) - 2*r(u).\nAnswer: -38*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -182 in 5, -0.1, -21, -4, 0.3?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/(-6))\/(1\/(-6)) + 4. Which is bigger: n or 2\/671?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2737510.3 * 7.\nAnswer: -19162572.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 6480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minus -1526337623?\nAnswer: 1526337650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 5, 9, 2 in increasing order.\nAnswer: 2, 5, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1814*w + 12206 + 19221 + 8087 + 27604 = 0 for w.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 0*p**2 - 6*p**2 + 2*p**2. Let j(h) = h**2. Let c(u) = -3 + 3 - 2*u**2. Let y(s) = -c(s) - j(s). Determine w(y(a)).\nAnswer: -3*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*m**4 - 1626*m**3 - 609*m**2 + 14634*m - 1080 = 0. Calculate m.\nAnswer: -3, 2\/27, 3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 6.37 (c) -3253\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3628996.16 rounded to the nearest 1000?\nAnswer: 3629000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/4*(7 - 3). Let x(l) be the first derivative of -2 - l - 1\/2*l**v. Calculate x(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*p**3 + p**2 - 2607*p - 57342.\nAnswer: 12*p**2 + 2*p - 2607","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 408 + -413. What is the biggest value in 13\/28, 0.1, c, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 61, 9\/5, 4525\/7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 3*c + 4. Let b be p(4). Suppose b = 5*y + 4 - 64. What is the third derivative of -6*g**5 - g**3 - y*g**2 + 2*g**3 - g**3 wrt g?\nAnswer: -360*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**5\/4 - 25*c**4\/4 + 1051*c**3\/4 - 6275*c**2\/4 - 3675*c\/2 = 0. What is c?\nAnswer: -49, -1, 0, 10, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 31*j + 1. Let n(t) = 15*t. Let r(s) = 5*n(s) - 3*q(s). Let a be r(-1). Let k = -12 + a. Is k a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 - 1 - 2)*(-15*r - 3*r + 0*r) + r + 3*r - 5*r + (-4*r + 3*r + 3*r)*(1 - 3 + 1) to y + x*r and give x.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5504993.\nAnswer: 13, 423461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 7*g + 4. Let o be q(6). Let r be ((-6)\/(-9))\/(o\/15). Let a = r + 16. What are the prime factors of a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 111.8 - 330.2. Let j = 218 + i. What is the smallest value in j, 1, -0.3, 0.04?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*x = -60*x - 8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 194 divide 2580394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) + -1*(sqrt(28) - sqrt(28)*-1))\/sqrt(4).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19\/(-2299))\/((-342)\/366795) - (1 + (-16)\/(-2))?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3422406 (base 8) to base 11.\nAnswer: 583501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 45. Suppose 0 = -m*f + 30*f + 56. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + a**3)*(3*a - a - 3*a) - a**4 - 3*a + 3*a + (0 + 0 + 2)*(-4*a**4 + 3*a**4 + 0*a**4) in the form b*a**2 + x + t*a**4 + c*a + q*a**3 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 12 = -3*h. Suppose 0*z - 5 = -5*z. What is the lowest common multiple of h and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 481397*h + 66 = 481399*h for h.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 2 - 12 = -5*i, 5*y - 2*i = 24 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -44207589.63 to the nearest 1000000.\nAnswer: -44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 5:55 AM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 10 = -x. Let q(c) = 4 + 2*c + x - c. Give q(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1734 (base 13) in base 5?\nAnswer: -102143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 269388295 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 304 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i + 4 - 1 - 1.\nAnswer: 3*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-14)\/(-49))\/(12\/(-21))*-10. Let t be (15\/(-25))\/(1\/(-5)). What is the third derivative of 33 - 33 - t*s**5 - 29*s**4 + 31*s**2 + 2*s**a wrt s?\nAnswer: -60*s**2 - 696*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1297233 or 1297230?\nAnswer: 1297230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63273*h = -63286*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*m + 20*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -80 - f77?\nAnswer: -ff7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*i + 463*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-10)*21\/((-10710)\/(-75))*4.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 113541 and 729?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.4 (b) -0.1875 (c) 0.2 (d) -1\/6 (e) -52 (f) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 1 + 1)*(2 + 14 - 4)*(-4*a + 2*a - 4*a).\nAnswer: -144*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 27792149 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmmmmfmmmfdmddmmm. What is prob of sequence mmff?\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/6*3)\/(((-15)\/40)\/(-1)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyii. What is prob of sequence ii?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -79 + 83.7. Let y = 20.3 + r. Let d = y + -24.8. Which is the second biggest value? (a) -2\/15 (b) d (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of 3*w + 0 + 1\/6*w**3 + 1\/60*w**5 + 0*w**2 + 0*w**4. Let r(d) be the second derivative of m(d). Let p(y) = y**2. Give r(p(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 - 118 - 53)*(3 + 0 - 2 + 11*y) to k + b*y and give k.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3199.246 and 23.\nAnswer: -73582.658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 428 a factor of 1152406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-297)\/(-13) + (-1626)\/78 + 21.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244 is divided by 84?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/5 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1062723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 9) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 34, -0.25, 0.5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -c - c - 5*j, 0 = -2*c + j. Let y(a) = 4*a**3 - a + 2*a**2 - 3*a**2 - c - a - 10*a**3. Determine y(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76395719.\nAnswer: 23, 3321553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than 13873964484?\nAnswer: 13873964483.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b = 8*b - 24. Let o be (b\/15)\/(-4)*45. Solve z - o = -5*t, 5 + 1 = -3*z + 5*t for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -933 = 2*g + 25*g - 5388. What is the remainder when g is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t + 3460 = -830. What is the greatest common factor of 150 and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bow when three letters picked without replacement from bowyfbx?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8068? (a) -0.5 (b) -3\/4 (c) -4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2966 = 961*j + 7836 + 7668 + 916 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 + 3*c. Let o(s) = -s**2 + 2*s. Let n(r) = 7*o(r) - 4*u(r). Let d be n(-4). Is 6550\/16 + 21\/d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13\/9 - 47\/45. Let l(h) be the first derivative of 0*h**2 + w*h**5 + 3\/4*h**4 - 3 + 1\/3*h**3 + 0*h. Factor l(d).\nAnswer: d**2*(d + 1)*(2*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**3 + 20*y**2 + 8*y - 34. Let a be p(10). Let s be (-50)\/(-6)*(0 - -3). Suppose -26*r = -s*r - 92. What is the greatest common factor of r and a?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4*d + 3750 = 0, -406 = 5*z + 4*d + 18440. Let y be (-4)\/(-18) + (7 - z\/63). Let j = -62 + y. Solve 0 = -2*u - 9 + j for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*a**2 + 3*a**4 + 2 - 2*a + 11*a**2 - 8*a**4 to v + l*a**2 + f*a**3 + y*a**4 + j*a and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 + -36. Let b = 24 + a. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 95769 + -151859. Let k = l - -56089.29951. Let i = k - -0.7. What is i rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6*(15\/(-2) - (4 - 2)). Suppose -3*f + 2*l = -b, 0*f + 5*l - 57 = -2*f. Calculate the greatest common factor of f and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**(1\/5)\/b))\/(b**4\/b))\/(b**(-3\/5)\/(b*b**4\/b)) assuming b is positive.\nAnswer: b**(17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/4 of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - -24666?\nAnswer: 24685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h + 5\/3*h**2 - 5*h**3 + 5\/3*h**4 - 10\/3.\nAnswer: 5*(h - 2)*(h - 1)**2*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54 and 72?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (18*w - 680 + 680 + (3 - 4 - 1)*(4*w - 5*w + 2*w))*(4 - 1 - 4)*(-3 - 2 + 0)*(-w + 2*w - 6*w) as n*w + d + m*w**2 and give m.\nAnswer: -400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 304604 (base 9) to base 12\nAnswer: 885a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/3)\/((-4)\/(-36)). Suppose -7*m = -5*o - q*m, -3*m = 2*o. Which is greater: -1\/9 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 1:35 PM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 329 divided by 4621.\nAnswer: 329\/4621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2081*y**2 + 9*y - 4. Let l be d(6). Let m = 126625 - l. Suppose 3*c + m = -134341. Round c to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -t + 239. Calculate the remainder when t is divided by 52.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1791*r - 1791*r + 6 - r**2)*(-3*r**2 + 3*r**2 - 4*r**2) to the form d*r**2 + t + o*r + f*r**4 + p*r**3 and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*n - 54 = -12 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lk when two letters picked without replacement from llllloklllllllllllll?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 9 and 78.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 3*w + 9, 0*w + w + 3 = 0. Suppose y = -t*y. Suppose -6*d + 5*d + 6 = y. What is the least common multiple of 6 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p**3 + 18051*p**2 - 28329684*p = 0. What is p?\nAnswer: -7309, 0, 1292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -1) + (-7 - -4) + (691 - 675).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*x**3 + x**3 - 4*x**3)*(-3 - 1 + 6) + 565*x - x**2 + 1341978092 - 1341978092 - x**3 as l*x**3 + w*x + v*x**2 + y and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -i + 41. Suppose -i*s + 6 = -23*s. Calculate the highest common factor of 33 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.013852 rounded to 5 dps?\nAnswer: 0.01385","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h = -13*h - 144. Let u = -44 - h. Sort 5, 2, u in decreasing order.\nAnswer: 5, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**3*u*u**(-10)\/u)**27 assuming u is positive.\nAnswer: u**(-189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (84 - 17)\/(0 + 2\/(-4)). Which is bigger: -0.2 or p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5481433 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 28026148.\nAnswer: -2802614.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/56 and 53\/13986.\nAnswer: 55944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a centimeter in millimeters?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3 - 12 = -3*p, -4*p = -20. Suppose 4*y - 7457 = -n + 12144, k = 3*y - 3*n - 14697. What is y rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 not equal to 2.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 537 and 67841?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3, 9, 27, 63, 123, 213, 339?\n\"Answer: k**3 - k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**2. Let y(k) = 12*k**2 + 27*k - 21. Let s(h) = 2*l(h) + y(h). Let j(u) = 3*u**2 + 5*u - 4. Let b(x) = 11*j(x) - 2*s(x). Factor b(a).\nAnswer: (a - 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.04 + 12.04. Let i = n + -12. What is the nearest to -0.1 in -6\/7, 4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 328 + -328. Suppose -k - 17 + 6 = h. Let y(q) = q. Let a(m) = m**2 - 5*m - 1. What is k*y(f) - 2*a(f)?\nAnswer: -2*f**2 - f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -9*f**2 + 5*f - 3. Let a be g(-3). Let w = a - -156. Suppose -4*s + 148 = 2*d, 2*d = -d - 6. Calculate the greatest common divisor of s and w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3113132201 (base 4) in base 12?\nAnswer: -366915","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10067155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w - 2*w + z - 6, -12*w - w - 27*z + 50*z - 22*z = 90 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22228558 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93\/(-682)*(-504)\/21*7\/(-63).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.008 * -672\nAnswer: -5.376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -233 + 10010?\nAnswer: 3111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6057224441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 19163, 38542, 58135, 77942?\n\"Answer: 107*b**2 + 19058*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -9*v - 20. Let g(y) = 26*y + 61. Let k(t) = -6*g(t) - 17*z(t). Calculate the least common multiple of 11 and k(-12).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13.517 - -13.537. What is the closest to 0.04 in f, -7, -0.1, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -11*d**2 - 267*d - 1748. Determine r(-6).\nAnswer: -542","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -8*z**2. Let f(r) be the second derivative of r**4\/6 + 6*r. Calculate f(j(t)).\nAnswer: 128*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 96*m - 666608 + 108752. List the prime factors of m.\nAnswer: 3, 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 46*o**2 + 4*o - 37. What is the hundreds digit of g(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7.4207 + -0.0007. Let b = a - 0.22. Let l = b - 7.19728. What is l rounded to four decimal places?\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -88*l**3 + 54 + 5*l - 55*l + 54*l**2 - 56*l**3 - 4*l. Let d(o) = 13*o**3 - 5*o**2 + 5*o - 5. Determine -54*d(z) - 5*x(z).\nAnswer: 18*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 + 590.6.\nAnswer: 590.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7)\/(6\/(-33) - 14\/44). Let n(y) = -y**2 + 23*y - 30. Let u be n(q). What is the highest common divisor of u and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-12)\/(-12)*(-21)\/9?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/5 of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3104778 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 249858574 and 868?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 123974487 greater than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.3 and 0.4?\nAnswer: 1.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -86 - (-19 + 0 + (-1 - 6) + (12 - -3))?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 9:08 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 2 = 3*w, z + 56 = 4*w. Let t be (-3)\/(z\/65) - 2\/8. Solve 4*l - 17 = -t*x, 0 = -l + 5*x + 8 + 2 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25*f**4 - 238*f**3 - 8*f**2 - 206*f - 3?\nAnswer: -600*f - 1428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a second in milliseconds?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2 + 739224648*j - 34153317513170244.\nAnswer: -4*(j - 92403081)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/(-12) + 45\/(-10)*-2 and -4 + 3 - (-62)\/(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4147050 by -6.\nAnswer: -691175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 37682 take away 1265547?\nAnswer: -1227865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.590559l to millilitres.\nAnswer: 7590.559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 5*o + 1 = 4, -20 = -4*h + 4*o. Let i = h - 0. Suppose 0 = i*k - s - 14 - 2, s + 1 = -k. Solve 2*z - 3*m - 4 = 0, k*m + 3 = z + m for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -4*s + 5. Let l be u(-7). Suppose l*i = 32*i - 5. What is the third biggest value in 4, -8, i?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 518 - 2592\/5. What is the nearest to b in 4, 2\/23, 2\/7?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 60 - 19. Suppose z = 5*b - c, -2*b + 4*b + 2*z = 14. Solve -b = -x + 5*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**4 - 7*a**2 - 6. Let l = 14 + -7. Let g(z) = -z**4 + 3*z**2 + 3. Let n(p) = l*g(p) + 3*d(p). Differentiate n(q) with respect to q.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - -6) + (-9)\/3. Solve i*n + 9 = -n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(4\/7))\/(z\/(z*(z**(-2)\/z*z*z)\/z*z)))\/(z\/z**(1\/2))**0*((z*z**1)\/(z**(1\/2)\/z))**(32\/7) assuming z is positive.\nAnswer: z**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1294020 a multiple of 195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s**2. Let r(j) = j - 11. Let d be r(8). Let k be (-8)\/(-6)*d\/(-2). Let u(x) = -2*x**k + x**2 + 5*x**2 - 2*x**2. Calculate c(u(z)).\nAnswer: 12*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2*1)\/(-4)*6. Suppose -m*s - 8 = -s. Let f = 7.7 + -8. What is the biggest value in f, s, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f**4 - 13027*f**3 - f**2 + 4*f + 707619.\nAnswer: -8*f**3 - 39081*f**2 - 2*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132831*q**2 + 66430*q**2 + 66423*q**2.\nAnswer: 22*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190249.\nAnswer: 190249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*i - 14*i + 29 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/7117357?\nAnswer: -2\/7117357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**3 - 31*i**2 + 135*i + 329. Is p(-29) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224647 is divided by 1639.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -1561*o + 4829. What is d(3)?\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 6*i - 2*i - 1 + 3 + i**2. Let n be f(-4). Let 0*s**n + s**2 + s**2 = 0. Calculate s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -796.3 + 401.7. Let w = -395 - n. What is the third biggest value in -8, w, 1\/8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (143 - 1459 - 744 + 330)*(6*u - 3*u - u)*((-2*u - 3*u + 3*u)*(0 - 2 + 4) - 10*u - 4*u + 2*u) to the form y*u + b + i*u**2 and give i.\nAnswer: 55360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-64 - (-17 + 7 + -6)) + 6.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -144 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 4*u**2 - 43*u + 5. Let l be m(11). Let o(a) = 4*a - 47. What are the prime factors of o(l)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2442 = 204*j + 2280 - 2286 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 9 + 11. Let x be (((-6)\/u)\/1)\/((-7)\/(-14)). Solve -4*o + x = -9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -5*n**2 - 105*n + 1719. Give o(-26).\nAnswer: 1069","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 355338\/(-162528) + 2 + 2. Let z = 2\/1693 - i. Find the common denominator of 53\/(-70) - (-4)\/10 and z.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - 9*j + 372. Let a be k(-24). Solve 95 - 23 = a*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/14*(-1547)\/357?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is w in w**4\/3 + 7*w**3\/3 - w**2 - 23*w\/3 - 14\/3 = 0?\nAnswer: -7, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-132)\/(-110))\/((-9)\/6).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -66?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 66*p**2 - 394*p - 9. Determine s(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 231 divided by 11.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 9*g**2 + 13*g. What is s(7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -8*z - 3. Suppose 0 = -3*o - 9, 3*b - 5*o = -2*b - 35. List the prime factors of h(b).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - a = 359 - 339 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 730961?\nAnswer: 7, 11, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 0 - 8. Let z(d) = 6*d + 11. Let x(h) = 13*h + 20. Let w(f) = -2*x(f) + 5*z(f). What is the units digit of w(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence alp when three letters picked without replacement from {e: 4, p: 5, z: 1, t: 5, l: 1, a: 1}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15556525.\nAnswer: 5, 61, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9816490 divided by -5935.\nAnswer: 1654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 164.9 - 168.9. What is the second biggest value in n, -0.6, 2\/9, 3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 539*t**3 + 15*t**2 - 127*t - 656711663 with respect to t.\nAnswer: 1617*t**2 + 30*t - 127","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 13*y. Let p(h) be the first derivative of 95 + 0*h + 10\/3*h**3 + 0*h**2. What is i(p(k))?\nAnswer: 130*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2985, 3374, 4043, 5010, 6293, 7910, 9879?\n\"Answer: 3*j**3 + 122*j**2 + 2*j + 2858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -42*q - 1. Let t(m) = 0 + 14*m + 0 + 7*m. Let x(d) = -11*t(d) - 6*y(d). Is x(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w + 9. Let h(g) = 4*g - 18. Let p = -35 - -30. Let a(k) = p*f(k) - 2*h(k). Let c be a(6). Solve 5*o - 2*o + c = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-6))\/((-12)\/54). Suppose 0 = -v*g + y + 12, 5*g + 7*y - 4*y = 34. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -248 + 251. Suppose -4*r = r. Solve d*o = -r*o - 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 66747, 66756, 66751, 66726, 66675, 66592, 66471, 66306?\n\"Answer: -u**3 - u**2 + 19*u + 66730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 5*r**2 - 2 - 2*r**3 + 7*r**3 - 2*r**3. Let q(z) = 4*z**3 + 6*z**2 - 3. Let m(w) = -6*h(w) + 5*q(w). Differentiate m(n) with respect to n.\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 6*f + 2. Let p be o(6). Let s be (-2)\/(-4)*48\/40. What is the closest to 0.1 in p, s, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + 3 + (1 - -9).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 49\/8?\nAnswer: 49\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) -5 (c) 5.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.6 in 2, 9, -4\/7, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 - -100. Calculate the greatest common divisor of 9 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -20*w + 42. Let p be j(2). What is the third derivative of -9*u**p - 4*u - 95*u**3 + 10*u**3 + 5*u**2 wrt u?\nAnswer: -510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*p + 11*p + 5*p**2 + (-6 - 13*p + 6)*(-2*p + 6*p - 2*p) - 2*p**2 + 0 + 0 - 2.\nAnswer: -23*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 133 divided by -2150163.\nAnswer: -133\/2150163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 102?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3*j**2 + 6*j - 4. Let x be p(4). Let d be (-7)\/x + ((-350)\/(-8))\/5. Solve -d = -4*k - 21 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2608087674?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jbpb when four letters picked without replacement from ffpbbjebeujfej?\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -0.01 (b) -3 (c) -7 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 52*i**4 - 451116*i**3 + 66227714*i**2 wrt i.\nAnswer: 1248*i - 2706696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3579 divided by 3?\nAnswer: -1193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2 = -2*s. Let y = -7 - -13. Factor -b**2 - b**2 + y - s*b**2 - 3*b + b**2.\nAnswer: -3*(b - 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.4 and -8.1.\nAnswer: -35.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*b**2 + b**2 + 5*b**2)*(2010 - 2010 + 247*b) in the form x + g*b + p*b**3 + q*b**2 and give p.\nAnswer: 247","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 21 + 0*2\/6. Let z = b + -16. Let l(n) = 7*n + 13*n - 7*n + z*n. Let y(m) = 2*m. Calculate y(l(c)).\nAnswer: 36*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -505436348.1 - -30530.\nAnswer: -505405818.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*t**5 + 2*t + 0*t**5 - t**5 wrt t?\nAnswer: 120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -29*q**3 - 37*q**2 + 146*q - 20. Let s be k(45). Round s to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 12, 3*k = 2*y + 3*y + 20. Let p = -27 + 133. Let r = p + -103. Solve -x = -2, r*g + 2*x = -k*g - 5 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -11*t + 34, 4*t - 5 = -30*c + 31*c for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 130, 142, 184, 274, 430, 670?\n\"Answer: 3*x**3 - 3*x**2 + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4467963 or 58083525\/13?\nAnswer: 58083525\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3 - 8025576*t**2 + 32102256*t - 32102240.\nAnswer: 4*(t - 2006390)*(t - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4710?\nAnswer: 2, 3, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-63 + 156 + 73)*(-144*s + 107*s - 11 + 11).\nAnswer: -6142*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19 - 50 - 61 - 19 + 21 - 113*p wrt p.\nAnswer: -113","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 11 = -5. Suppose g + z = 6 - 3, -b*z = -2*g. Factor 4*k - 3*k**g + k**2 - k - 4*k.\nAnswer: -k*(2*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 8 (b) 0.5 (c) -1 (d) -8 (e) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/4422 and -103\/402.\nAnswer: 4422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2 - 1\/3*g**2 - 5\/3*g.\nAnswer: -(g + 2)*(g + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k + 6*k + 8*k)*(4*k + 59*k - 17*k) + (1 + 2 + 3)*(-1 + 0 + 0)*(-6*k**2 + 3*k**2 + 4*k**2).\nAnswer: 362*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 a when two letters picked without replacement from sufuwfuuafuaayf.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3382 is divided by 72.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -19*c**2 + 652*c + 3582. Calculate b(-5).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 19 + 0*h + 18*h)*(198*h - 219*h + 193*h) - 2*h**2 + h**2 + 3*h**2.\nAnswer: 3098*h**2 + 172*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-368)\/(-60))\/((8\/3934)\/(-4)). Let z = r - -12060. What is the common denominator of -11\/24 and z?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 6*o**2 - 6*o - 19. Let v(n) = -2*n**3 + 11*n**2 + 12*n + 37. Let g(p) = 2*v(p) + 5*w(p). Let t be g(9). Solve -t*d + 25 = -d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 54 = -0*k - n, 2*n = k - 11. Suppose 21*t = k*t + 1520. Suppose -11*p = -p - t. Are p and -2\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3356227 to the power of 1\/2, to the nearest integer?\nAnswer: 1832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 1716330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 36135 divided by 1095?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 6:59 PM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 24 = -2*q. Suppose 0 = -2*t - 0*t + q, 0 = 4*j + t. Let h be (j - 21\/(-3)) + -2. Which is smaller: 5 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 169483005 to the power of 1\/2, to the nearest integer?\nAnswer: 13019","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, p: 2, a: 1, c: 2, x: 1, g: 1}. What is prob of sequence xa?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2615 is divided by 375.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*y**5 + 156*y**4 - 435*y**3 + 150*y**2.\nAnswer: -3*y**2*(y - 5)**2*(5*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1238437 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4453 (base 6) to base 9.\nAnswer: 1376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -3. What is the units digit of (6 - l)*3\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 39904272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 675170, 675293, 675416, 675539, 675662?\nAnswer: 675785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) - (1*-2*sqrt(72) + sqrt(72))**2) + 4*((2 + sqrt(72) - sqrt(72)) + sqrt(72)) + -2*(sqrt(72) + -4)*2)*4.\nAnswer: -192 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6 (b) 4 (c) 0.4 (d) 0.3 (e) -2774\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 305, 697, 1179, 1745, 2389, 3105?\nAnswer: 3887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -0.4 (b) 3 (c) -0.4553\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that f**5 + 267*f**4 - 1354*f**3 + 1632*f**2 = 0.\nAnswer: -272, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 182 - 115. Is 14 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4047?\nAnswer: 3, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -7774967 + -425022\nAnswer: -8199989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/20 - (-3)\/(-6). Let w = 0.15 - 0.05. What is the closest to w in o, -5, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 375029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*l**(-1\/9)))\/l**6)\/(l\/(l**(-1\/3)\/l)*l*l\/l**(-3\/8)))**(5\/4) assuming l is positive.\nAnswer: l**(-3815\/288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*u**2 - 121*u**2 + 65*u**2.\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 823, 2300, 5071, 9784, 17087, 27628, 42055, 61016?\nAnswer: 85159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16987 - -16870.17. Let i = p + -0.17. Let d = i + 116. Put 4, d, -5\/3 in increasing order.\nAnswer: -5\/3, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d. Let n(z) = -7*z - 3. Let k(f) = -6*h(f) + n(f). What is the remainder when k(-6) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0\/(-3 + 4))\/3. Let j(o) = -o**3 + 18*o**2 + 20*o - 16. Let r be j(19). Solve -2*l - 2 = g, -2 - 2 = r*q + 4*l for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 10, 25, 14, -1, 12.\nAnswer: -1, 5, 10, 12, 14, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 18 = -l + 5*y, 0 = -3*l + 4*y + 32. Let t = -6 + l. Solve 0 = -3*p + t*p - 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 10}. Give prob of sequence cccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137*g - 3511 + 23117 = 426. Calculate the lowest common multiple of 230 and g.\nAnswer: 3220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)\/sqrt(32))\/sqrt(3) + (sqrt(128) - (sqrt(128) - -3*(sqrt(128) + sqrt(128)*3 + sqrt(128)))))**2*5.\nAnswer: 285605\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/9)*x**(-3\/7)*x*x*x**6*x*x\/x**5)**19 assuming x is positive.\nAnswer: x**(5206\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 175*k - 105. Let y be n(6). Suppose -29*g = -26*g - y. Is 8 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (((-5856)\/40)\/6)\/(1\/(-25))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, s: 5, x: 3, y: 3, f: 3}. Give prob of picking 2 y.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-5) + (-54)\/(-15). Let q(f) = f**3 - 4*f**2 - 2*f + 6. Let j be q(i). Let g = -4 + 0. Is g at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w**2 - 5*w + 3. Let y(l) = -l + 1. Let v(a) = -n(a) + 5*y(a). What is the first derivative of v(m) wrt m?\nAnswer: 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 15*v**2 + 7*v + 9. List the prime factors of y(-2).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 544 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*n + 5*n + 6*n - 19*n.\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - n + 15. Let x be s(-5). Let c be ((-1)\/3)\/((-2)\/(-6)). Is 5 a factor of c\/(2 - 1)*x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 - g + 3. Let b be l(0). Solve 5*d - b*d - 15 = 5*q, -4*d + 20 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 829825 (base 11) in base 15?\nAnswer: 1b440e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30 - -6852859.\nAnswer: 6852889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 102\/61? (a) -2 (b) -2\/5 (c) 0.1 (d) 57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 54672424 divided by -628\nAnswer: -87058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*j - 277*j = 298*j + 22688 for j.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*h - 8. Let x(b) = 3*b**2 - b - 7. Let m be x(-3). Suppose m - 3 = 4*n, -178 = -2*w + h*n. Is 33 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -145*d**2 - 200*d**2 + 217*d**2 + 5*d - 5*d + 2*d**2 + (d - 2 + 2)*(0*d - d + 3*d) to p + h*d**2 + l*d and give h.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 16*y - 29*y + 19 = -11*y + 26*y, -4*p - 55 = -y for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate n**3*w - 5*n*w - 7697*n + 18*w + 5433 with respect to n.\nAnswer: 3*n**2*w - 5*w - 7697","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/12)\/(((-2508)\/44)\/(-513))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - 13. Let m = -62\/319 + -647\/1595. What is the third smallest value in m, -2\/5, a?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 261?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*j - 671 = -240*j for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of 0*k**3 - 1\/945*k**7 + 0*k - 1\/135*k**6 + 29*k**2 - 1\/54*k**5 - 1\/54*k**4 + 0. Factor p(d).\nAnswer: -2*d*(d + 1)**2*(d + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 80489920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 979\/5376 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o - 139041 = -18273. Is 24 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106284 is divided by 106086.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - -1)*1*-1. Suppose 17 = 3*x - f. Is x a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 112 - (6 - (3 - (50 + -22)))?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/11*r**2 + 0 + 2\/11*r**3 + 0*r.\nAnswer: 2*r**2*(r - 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - 10) + (-16)\/((-32)\/(-1040559978)). Round w to the nearest 1000000.\nAnswer: -520000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (((-8)\/(-24))\/(-1))\/((-4)\/420). Solve 0 = -5*q - 3*y + 15, 2*q - 5*y = -m + 10 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -211?\nAnswer: 4\/211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10895934 is divided by 15368?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -96 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*x + 231 = 55*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131 = 3*w - 385. Let l be w\/22 - (-34)\/187. Suppose -y + l*y = 147. Calculate the remainder when 83 is divided by y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01 * 119.\nAnswer: -1.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.23 (b) -8040 (c) -6\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 22*x**2\/3 - 1066884*x + 581936\/3 = 0.\nAnswer: 2\/11, 145484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-188)\/(-470))\/(7\/(-5))*-28. Let k(j) = -j**2 + 15*j - 15. Determine k(i).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*z + 507988 = -437954 - 710815. What is the ten thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 74926819*n - 54737154 wrt n.\nAnswer: 74926819","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -10 (b) -1\/3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, -3\/2, 3 in ascending order.\nAnswer: -3\/2, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4422)\/(-1809)*5\/(825\/72).\nAnswer: 16\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -6, 53?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**2 + 8*s - 12. Let m(p) = 4*p**2 + 15*p - 24. Let b(r) = -10*c(r) + 4*m(r). Determine q, given that b(q) = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3238 is divided by 81.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5404*41.\nAnswer: -221564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -4*t - 300, -5*r = 4*t - 236 + 572. Is t at most as big as -75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 932085?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -996? (a) 0.32 (b) 0.8 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -1\/12*c**4 + 0 + c + 0*c**3 + 0*c**2. Let l(w) be the second derivative of -w**4\/2 - w. Give v(l(q)).\nAnswer: -36*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 324 + 324 = -550*q + 577*q for q.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gy when two letters picked without replacement from ddyyyyyddydyyddgd?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, l: 2, x: 4}. Give prob of picking 2 x.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1706 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 10099484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12910, 12676, 12442, 12208?\nAnswer: 11974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(4\/5)\/v)\/v**(4\/5))\/(v**(-2\/5)*v*v*v**(2\/9)\/v*v*v))**(2\/5) assuming v is positive.\nAnswer: v**(-344\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 147438?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9203920 + 9203920 - 11*w**3.\nAnswer: -11*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 852 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/360 and 167\/504?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-44)\/24 + 2\/6. Let o = -74 + 367\/5. What is the fourth biggest value in u, o, 2\/13, 0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9545 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3902?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + -0.3. Suppose -z + 4*z + 9 = 0. Let a = z - -3. What is the closest to 0.1 in p, -5\/2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*b + 4*b - 5*b + (19*b - 44 + 44)*(3 - 1 - 4) as y + f*b and give f.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -320 or -151792\/473?\nAnswer: -320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3 + 3)\/(-4))\/(-2). Let k be (-180)\/4 - (1 + v). Calculate the remainder when 21 is divided by k\/(-6) + (-4)\/(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159 + 23 + 26 - 1 - 4*r - 31 - 39.\nAnswer: -4*r + 137","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.95 + 104.95. Which is smaller: b or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 2\/21 (c) 5 (d) -1\/20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3194 + 13.8706. What is w rounded to one dp?\nAnswer: 14.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 69 + -4. Is p a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000044165 to 6 dps.\nAnswer: 0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 7 - (-5 + 19)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2)\/(a\/a**(7\/4)))\/(a**(-11)\/a**(-8)) assuming a is positive.\nAnswer: a**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -5, -2, 262.\nAnswer: -5, -4, -2, -1, 262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 678\/13 + -52. Put x, -3, 4 in decreasing order.\nAnswer: 4, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4353941l in millilitres?\nAnswer: 435.3941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -3057.3177\nAnswer: -305.73177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 21 divided by 21\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 31 - 69 = 0. Let x be (-5)\/h - 79\/4. Let v be (5\/(-2))\/(x\/(-40)). Let u(j) = -j. Let l(p) = -p - 1. Determine v*u(k) + 2*l(k).\nAnswer: 3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -207 greater than -617\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4366754 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.41 - 0.26. Let n = -1.47 - p. Let w = -37 - -149\/4. Put w, 0, n, -2 in descending order.\nAnswer: w, n, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwpw. What is prob of sequence pp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 707 is divided by 97.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -2*b - 5*x + 2, 5 = 5*b + 2*x. Let u be 8\/(-12) - 4\/(-6). Suppose -g + 3*n - 2 = u, -1 = g + g - 3*n. Solve -b = -2*v + g for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 4. Suppose -9 - 11 = -n*r. 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 b = -39 + 44. Let a(m) = m**2 - 7*m - 4. Let s be a(7). Sort 0, 7, b, s in decreasing order.\nAnswer: 7, b, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -300 + 290. Let a(p) = p**2 - p - 10. Let q be a(5). Let r = q + b. Solve r = -2*v - 3 - 1 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 5 + 35 = 5*n, 4*r + 2*n = 22. Suppose 36*j - 364 = 40*j. Let i = 98 + j. What is the third smallest value in -2\/3, i, r?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 12:28 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1707682 > -1707684?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m**2. Let a(s) = -532*s. Calculate r(a(o)).\nAnswer: -566048*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -26*j**3 - 6*j**2 + 469*j - 4229. Let l(w) = 22*w**3 + 5*w**2 - 467*w + 4229. Let z(p) = 5*i(p) + 6*l(p). Differentiate z(o) with respect to o.\nAnswer: 6*o**2 - 457","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/18*(-60)\/40*((-50)\/(-20))\/(-5).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1264 or -1713?\nAnswer: -1264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16759283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3482, 14811, 33604, 59861?\n\"Answer: 3732*q**2 + 133*q - 383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five quarters of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a - 4*w = 19*a + 158, 3*a = w - 65 for a.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-15)\/6)\/(3\/(-10 - -4)). Solve -m*d + 8 = -17 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25586 and 198?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1236246 divided by 2?\nAnswer: 618123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 729727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - 2 + 2)*(-5*n + 4*n - n)*(-3*n - n + 6*n)*(-6690 - 998 + 1449).\nAnswer: 24956*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of 5*h**7\/6 + 17*h**4\/12 - 13*h. What is the third derivative of b(k) wrt k?\nAnswer: 2100*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*d**2 + 15*d**2 - 9 + 9 - 7*d**2 - 175*d**5 wrt d?\nAnswer: -10500*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/215306906 and -43\/4?\nAnswer: 430613812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -211?\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 15384?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -76\/15 (b) 7\/2 (c) -8\/29 (d) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -30 - 14*s**3 + 30 + s**3 + 0*s**3 + s**3 + (1 + s - 1)*(-28*s + 8*s**2 + 28*s) in the form l*s + v*s**3 + a + i*s**2 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 479, 959, 1439, 1919?\nAnswer: 2399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.549 + 8.149. Let r = 15 - 15.07. Put r, h, 2, -2\/7 in descending order.\nAnswer: 2, r, -2\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-15)\/(-14) + 1\/7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 374287.\nAnswer: 374287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*x - x - 1 - x.\nAnswer: -17*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -11*o + 3. Let b(c) = 7*c - 2. Give 5*a(n) + 8*b(n).\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -841 - -1?\nAnswer: -840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ufuhffohuhdfuf. Give prob of sequence ffh.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -289*287.3\nAnswer: -83029.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2666*q**2*u**3 + 7*q**2*u**2 - 11*q**2*u - 50*q*u**3 - 275*u**3 + 2*u**2 + 63*u + 215 wrt u.\nAnswer: -15996*q**2 - 300*q - 1650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 6*v**5 - 1053*v**4\/2 + 13506*v**3 - 168597*v**2\/2 + 52665*v + 18648 = 0.\nAnswer: -1\/4, 1, 8, 37, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -19. Suppose -11*i = -r*i. Suppose -3*b = 5*h - i*b - 504, -b = h - 100. Is 21 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-3 + 0 - (0 + 8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 837975019.\nAnswer: 7, 293, 58367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 496994?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-4\/7)\/f**(-14\/9) assuming f is positive.\nAnswer: f**(62\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1787567880.\nAnswer: 2, 3, 5, 7, 19, 31, 3613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 24 = -3*x, -2*x + 0*r = -r + 7 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 645.902 kilometers to meters.\nAnswer: 645902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -542, -571, -648, -797, -1042, -1407?\n\"Answer: -4*b**3 - b - 537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119881113 divided by 3.\nAnswer: -39960371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -2*m + 57 + 55, 298 = 5*m - 2*i. What are the prime factors of m?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 3:14 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*x - 6*x + 0*x)*(-183 - 50*x**3 + 183) to the form v*x**2 + p + d*x + u*x**3 + j*x**4 and give j.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -636.269348 to the nearest 10.\nAnswer: -640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -5*j + 175, -4*i - 72 = -4*j + 2*j. Let x be (-2)\/(4 - j\/8). Let h be 1 - 3\/(6\/x). Put h, -2, 3 in ascending order.\nAnswer: h, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 - 1855*n**2 + 7525*n + 9375.\nAnswer: -5*(n - 5)*(n + 1)*(n + 375)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**2 + 120*n - 230. Determine z(-62).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 2. Suppose -r*b - 3 = -2*b - 3*l, 5*l - 3 = 4*b. Suppose 2*y + b*y - 95 = 0. Does 9 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*f**2 - f**2 + 2*f**2 + 2*f**6 wrt f.\nAnswer: 240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3052, -2, 0, 1, 10, 3 in increasing order.\nAnswer: -3052, -2, 0, 1, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -222 - -85. Let i = -46 + y. Round i to the nearest 10.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11401 - 1442. What are the prime factors of i?\nAnswer: 23, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 a, and 1 m when three letters picked without replacement from maaaaaxabaaxanv?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a micrometer in nanometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, s: 11, e: 2}. Give prob of picking 2 s and 2 e.\nAnswer: 11\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 205*c + 202 + 74*c - 202 + 47*c to the form a*c + t and give a.\nAnswer: 326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 3*y**2 - 6*y - 7. Give b(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from ehee.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.99 + 0.01. Let u be (-1 + (-6)\/(-4))\/((-43)\/258). Let x be 4\/(-14) + 22\/28. What is the smallest value in x, p, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 9785.557t?\nAnswer: 9785557000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 526*s - 3 = 523*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 58, 73?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -50576 (base 8) to base 11\nAnswer: -14746","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, q: 3, m: 1, r: 1, y: 2, b: 3}. Give prob of picking 1 y, 1 a, and 1 m.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57657 is divided by 836.\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 21940 and 21939 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188470*r + 1 - 754002*r + 188508*r + 188486*r + 188495*r.\nAnswer: -43*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 271*o = -404*o - 361*o + 38222 - 2998 for o.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -3\/2, 0.01, 0, 1\/16 in descending order.\nAnswer: 0.2, 1\/16, 0.01, 0, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087588672 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24.96 + 25. Suppose 2*s = -3*s + y + 1, -2*s - 4*y + 18 = 0. Let z = -6 + 10. What is the closest to s in n, 0, z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 3*d - 3, 4*d + 2*h - 3 = 3. Let c(n) = 11*n + 41*n + 1 + 52*n. Is c(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + -166*(-3)\/(-180). Let t = -4\/15 - k. Let g = 0 + -1\/9. Which is the third biggest value? (a) g (b) -0.5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23232014 (base 5) to base 4\nAnswer: 303220311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 197494 to the power of 1\/2, to the nearest integer?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + (7 - (4 + 8 + 8)) - 45.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 4025?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 2*m - 42 = 0, 3*b - 16*m + 4 = -20*m for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 140 + -698\/5. Factor 0 + 2\/5*z**3 + k*z - 4\/5*z**2.\nAnswer: 2*z*(z - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of g**7\/35 + g**5\/5 + 5*g**2\/2 - 5. Let l(h) be the second derivative of x(h). Find the third derivative of l(d) wrt d.\nAnswer: 144*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29098*z**3 - 13*z**2 + 58224*z**3 - 29089*z**3.\nAnswer: 37*z**3 - 13*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**2 + 4*m**2 - 7*m**2 - 2*m**2 + 14*m**2.\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 373694 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: Suppose -44 = -4*g + 4. Suppose 5*h = l - 0 + g, -3*h = -3*l + 12. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 5, 0.4, -96 in decreasing order.\nAnswer: 5, 4, 0.4, -2, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p - 7. Let x be u(-5). Suppose -13*c - 60 = -151. Solve -x*q + c*q = -12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.11*46179.\nAnswer: 5079.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1236367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = l - 0. Let z = 0 - -1. Let u = 90 - 92. Put u, z, l in descending order.\nAnswer: l, z, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - (-1 + -8)) + -2 + 1 - 17?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -49.55 * 3.8\nAnswer: -188.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + -15. Let m(h) = -h**3 + 7*h**2 - 6*h + 5. Calculate the least common multiple of m(z) and 11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) -847 (b) 2\/65 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 27. Let n = t - 10. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3138 + -2502. Does 16 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4*s + 5 + (2*s - 3 + 3)*(3 - 2 + 1))*(2 + 1 - 4)*(-3 + 0 + 1).\nAnswer: 16*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 3445000 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 566124 divided by 228.\nAnswer: 2483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 48*r**2*s**6 + 14*r**2*s**3 + r**2*s**2 + 31*r*s**2 + 4*s**2 wrt s.\nAnswer: 5760*r**2*s**3 + 84*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and -0.0884191?\nAnswer: 0.0115809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -26\/269 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 116557?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 9*u**2 - 13*u + 20. Determine z(8).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d - 1. Let s be y(2). Let x = 2 - s. Calculate the lowest common multiple of 8 and 1 + -3*x\/(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.8, 1\/3, -0.04?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/2890 and 58\/2023.\nAnswer: 20230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*l - 61*l - 42*l + 90*l.\nAnswer: -29*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*b - 1694 - 3010. Let i = b - -674. What are the prime factors of i?\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 30\/(-4)*(-8)\/(-12). Let w be 1\/z - 74041\/5170. Let j = w + -44\/141. What is the common denominator of j and -37\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - -6 - 6\/(-6). Solve 0 = -3*f + q*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 1137*p - 25599. Determine j(22).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 3*y + 13, 4*y = p + 4 - 43. Let c be (-1)\/(-4 + y\/(-3)). Suppose 210 = -c*u + 3*f - 6*f, f - 226 = 3*u. What is u rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36 - -38. Suppose 4*q - 16 = -y*u, -3*q = -5*u - 9 + 23. Solve m = -2*b + 5, -20 = -4*m - b + u*b for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 339.72 and 1061309.\nAnswer: 1061648.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by -13100.\nAnswer: -11\/13100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/186592 and 79\/979608.\nAnswer: 3918432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22177854 and 324?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 56*c - 2741. What is q(48)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 233 (base 7) to base 6.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 40?\nAnswer: -3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1577, 0, -2, -33, 53, 1 in descending order.\nAnswer: 53, 1, 0, -2, -33, -1577","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + z + 3. Let i be h(0). Let g be (2 - -17 - 4)\/1. Let t = g - i. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 33*h. Let l(i) = 11*i. What is 8*l(b) - 3*m(b)?\nAnswer: -11*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = k - 72. Suppose -4*l - d = l + 5, 2*l - k = 2*d. What is the nearest to -3 in l, -0.3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 996750 and 12375?\nAnswer: 1125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(28)\/sqrt(2)*-6)\/(sqrt(32)*-1)*5)*-3)**2.\nAnswer: 270*sqrt(7) + 14319\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + n - 3. What is u(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 8*l - 34. Let c(z) = z + 3. Let u(b) = -6*c(b) - j(b). Calculate u(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 o when four letters picked without replacement from ooiii?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7891253 is divided by 21799.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**6\/g)**42 assuming g is positive.\nAnswer: g**210","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 219631 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2*sqrt(13)*-5*-5 + (sqrt(208) + 0 + -4)**2).\nAnswer: 54*sqrt(13) + 672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {z: 1, d: 2, f: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10296)\/1452 + 1\/11?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -3\/2*h**2 + 0 + 1\/3*h**3 + 5*h + 1\/12*h**4. What is the units digit of g(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*g = -10. Let i = 64 - 67. Which is the second smallest value? (a) -2\/7 (b) i (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00017422 to 6 decimal places.\nAnswer: 0.000174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1\/4, 1\/11, 9, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 256 by 64.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -649, -1913, -4415, -8773, -15605, -25529?\n\"Answer: -103*n**3 - n**2 - 540*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 20*z + 16. Let f be t(-11). Let s = -141 - f. Does 7 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 2*u - 2*u)*(2*u**2 - 2*u**2 + u**2) - 5*u**3 + 2*u**3 + 0*u**3 + (-u + 2*u - 3*u)*(-4*u + u + 0*u)*(23 - 23 - 6*u).\nAnswer: -40*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -27 + 20 - (-28 + -1).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -151*l - 22007. What is k(-145)?\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.80876m in centimeters?\nAnswer: 180.876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in 5, -3.48, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -3 (b) -5\/4 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 124, 158, 180, 184, 164?\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 321727?\nAnswer: 7, 19, 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x - 12. Let k be h(15). Suppose -k*o + 25 = -101. Is o < 43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, s: 3, g: 4}. Give prob of picking 1 g and 3 a.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q - 3. Let v(w) = 1. Let l be (-42)\/35*-10*(-1)\/4. Let c be (48\/(-15) - l)*-5. Determine c*v(a) + x(a).\nAnswer: 3*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 46431361 to the power of 1\/3, to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2*h = 66, 0 = 2*v + v + 2*h - 94. Let a(n) = -16*n**3 + 2*n**2 + n. Let w be a(-1). Let k = v - w. Solve 4*y = 3 - k for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -4\/9*i**3 + 1\/270*i**5 - 19*i**2 - 1\/27*i**4 + 0 + 0*i. Suppose f(u) = 0. What is u?\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*f - 6*f**2 + f**2 - 9*f**2 wrt f?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 18, 2, -2.\nAnswer: -2, 2, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 43496413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, n: 5, c: 11}. What is prob of sequence ci?\nAnswer: 11\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -657*v - 4. Let k = -88 - -85. Is y(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 151 = 209. Let p = -277 - c. List the prime factors of p.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16*q**2*s**3 - 532*q**2*s - 149*s**3 - 101*s**2 wrt q.\nAnswer: 32*q*s**3 - 1064*q*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.8 and 0.088.\nAnswer: 0.0704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 174\/(-7) + (-4)\/28. What is the remainder when 1\/(-5) - 1680\/b is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -s**5\/40 + 3*s**4\/8 + 3*s**3\/4 - 81*s**2\/4 - 729*s\/8 + 73. Let g(i) = 0. What is i?\nAnswer: -3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2387834 (base 9) to base 2.\nAnswer: -100111100111101111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + -104\/5. Let n be 24\/10 - 54\/135. Factor -1\/5*o**n + d + 0*o.\nAnswer: -(o - 1)*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 113 - 29 = 0. Suppose 1343*g - 1334*g - 18 = 0. Let s be (g - 3)*(-7)\/(n\/8). Solve 0 = -2*r - s*r + 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1001120010021 (base 3) to base 16\nAnswer: -893e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and 97339827057546.\nAnswer: 97339827057549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 123\/400 and ((-196)\/(-80))\/(-10*(-60)\/(-6)).\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215 = 2*q - 2*s - 735, 2*q - 5*s = 514. Let n = q + -143. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -15, -1\/6, 0.04, 4 in ascending order.\nAnswer: -15, -2, -1\/6, 0.04, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/(-3))\/((-24)\/233784) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 16, 0, -0.1.\nAnswer: -0.1, 0, 1, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -1 - 3*t**2 + 0 + 1. Let z(w) = w**3 - 5*w**2 - 6*w + 38. Let b be z(4). Let n(m) = 2*m**2. What is b*a(j) - 4*n(j)?\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -34134344 (base 5) to base 3\nAnswer: -120100220202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppppppppvvpvpvvpp. Give prob of picking 4 p.\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.077173226 + -3404.363473226. Let l = a - -3404. Let z = -0.29 - l. What is z rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/4, 0, -1, -2859\/7, 2 in ascending order.\nAnswer: -2859\/7, -1, 0, 5\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 2*x = 8*j - 2, 0 = x - 5 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f**2 + 3*f + 3. Let h = 1 + 1. Suppose 4*q - 13 = -5*s, -2 = 5*q - q + h*s. Let d be ((-1)\/(-1))\/(q\/(-9)). Determine c(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a micrometer in nanometers?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -5*y + 3050, 4*n - 2470 = 13*y - 2*y. Is n at least as big as 605?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2294587876 to the nearest integer?\nAnswer: 1319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 112037830 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7420 and 169600?\nAnswer: 1187200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343) + -5)*5*2)**2.\nAnswer: -7000*sqrt(7) + 36800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s - 5*k = -7*s + 14, -2*s + 5*k + 13 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 38*t - 266. Let q be r(7). Which is smaller: q or -9\/50?\nAnswer: -9\/50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 20*m**2 - 3*m**3 - 23*m**2 + 6 + 5*m + 2*m**3 - 2. Let d(u) = -4*u**3 - 8*u**2 + 14*u + 11. What is 3*d(t) - 8*l(t)?\nAnswer: -4*t**3 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 136393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -973*m**5*p + 24*m**4*p + 2*m**2 - 18*m*p + 44205*p + 1 wrt m?\nAnswer: -19460*m**3*p + 288*m**2*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3290600621 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*y**2 + 1 + 19*y**2 - 91*y**2 - 1.\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 4, -1\/4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 132\/627 - 854\/266\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180 = 247*h - 249*h - 4*y, 3*y = 22*h - 88 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u - 5. Let n(c) = 6*c + 36. Let z(d) = n(d) + 5*w(d). Determine z(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45.09 + -45. Let v = -10 - 6. Let i = v + 16. Which is greater: y or i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/((t\/(t**16*t))\/t))\/t)\/t**3)\/(t**(-5)\/t*t\/(t\/(t**8*t))*t))**(-1\/4) assuming t is positive.\nAnswer: t**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8151704, 16303417, 24455130, 32606843, 40758556, 48910269?\nAnswer: 57061982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 1719789*f - 3 - 1719728*f + 6.\nAnswer: 61*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7457 is divided by 63.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1474929 and 99?\nAnswer: 16224219","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -m**2\/2 - 9*m + 13. Let o be q(-13). What are the prime factors of -3 + (-8)\/o*-14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = -13*g - 11 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-28)\/56 - (-1)\/(-26)*-17. Let s = 3 + -4. Which is the third smallest value? (a) h (b) s (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -182524*x**4*z + 232*x**3*z - 2*x**2*z + 138*x**2 + 240530*z wrt x.\nAnswer: -4380576*x*z + 1392*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 43?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is q in q**4\/3 + 193274*q**3\/3 + 4149871740*q**2 + 267139569674950*q\/3 - 8293296498899125\/3 = 0?\nAnswer: -64435, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -4*(sqrt(3) - (2*sqrt(147) + sqrt(147))**2).\nAnswer: -4*sqrt(3) + 5291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15568 + -15435. Solve -27*s - 214 = -w for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 5*m - 12. Let p(u) = 3*u - 4. Let j be p(7). Suppose j = 3*g + 5. Solve 2*x + z = -0*x, g*z + 8 = -m*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1167732 divided by 7164.\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + 10*z + 32. What is the least common multiple of k(-14) and 4?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - 4*h - h)*(-2*h - 5 + 5)*((-h + 5*h - h)*(-1 + 1 - 2*h) + 3*h**2 - 3*h**2 + h**2).\nAnswer: -20*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42770 and 334555.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**4*o\/(o*o**1\/o*o)*((((o*o\/o**(-4)*o*o)\/o)\/o*o)\/o)\/o**(-3))\/(o**(-4\/3)*o\/(o**4\/o))**(7\/3) assuming o is positive.\nAnswer: o**(196\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k - 6. Let c(w) = w - 3. Let v(t) = -7*c(t) + 4*n(t). Let p(h) = -2*h + 7. Suppose 2*x = 3*x - 9. Calculate x*v(l) + 4*p(l).\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.2557365m?\nAnswer: 255736500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/3, 3, 19, -19.13, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 - 128?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 480?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 + 7. Sort 2, u, -2.\nAnswer: u, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86052.\nAnswer: 2, 3, 71, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (13 - -4) + -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*2\/(-2) + 4. Suppose -x = -2*p + p. Suppose 4*f = 5*f + p*l - 21, -3*l + 31 = -4*f. Is 4 at most f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 2 = 3*b. Is (7 - 10)\/(b\/5199) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - 32. Let u = -136 - -191. Let c = w + u. List the prime factors of c.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 2*l - l)*(l**2 - l**2 + 2*l**2) - 7*l**3 + 3*l**3 + 2*l**3 + 93 + 2*l**3 - 93 - l**3 + 2 - 2.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*u*(u\/(u\/(u**4\/u*u)))\/u*u*u)*u)**(-32)*u\/(u**(-1\/2)*u)*u**7*u)**(18\/7))**(8\/5) assuming u is positive.\nAnswer: u**(24264\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4140 + 420. Round r to the nearest one hundred.\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43215, -172916, -389083, -691716, -1080815?\nAnswer: -1556380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 363 divided by 3?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhhrrhhehehhrhhh. What is prob of picking 1 h, 2 e, and 1 r?\nAnswer: 13\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -2. What is the units digit of 3*1*(5 + l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -180 - -285. Does 15 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13019 and 1023792.\nAnswer: 48118224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1105 = 5*f - 5*z, 85*z = -3*f + 83*z + 683. Solve -6*v - 195 = -f for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i = -c + 7*i - 5, 1 = -c - 3*i for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 420741 is divided by 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2158715, -4317502, -6476289, -8635076, -10793863, -12952650?\n\"Answer: -2158787*j + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u - u + 4*u)*(1 - 2 + 2) + 2*u + 33*u - 9*u + (-5 + 5 - 18)*(-3*u + 0*u + 2*u) to l + j*u and give j.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*q**2 - 18*q**2 + 3*q - 2*q.\nAnswer: 15*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 103201?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 r when three letters picked without replacement from yyyrryyrrrryryryryy?\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4\/6 - 17*a**3\/3 - 407*a**2\/6 + 1972*a + 20184.\nAnswer: (a - 29)**2*(a + 12)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 46 = 5*n, -16 = 169*y - 170*y - n. Solve 12*k - 4*v = 13*k + y, 4*k - 4*v = -4 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 9, 2, 32 in decreasing order.\nAnswer: 32, 9, 5, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 3:48 AM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-37752)\/(-5481)*3 - 4. Let z = -602\/29 + c. What is the common denominator of z and 73\/27?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -2*o**3 + 399346*o**2 - 1597360*o + 1597352 = 0?\nAnswer: 2, 199669","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 353.3555 rounded to the nearest ten?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 70 = 5*c - 0*l, 0 = 2*c - 3*l + 28. Let s be (-15 + 22)*12\/c. Let f(y) = -8*y**3 - 5*y**2 + 9*y + 13. Is f(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 306823 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(288\/20)*(-104)\/(-130). Which is the smallest value? (a) v (b) -0.069 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*g**2*q**3 - g**2*q + g**2*y - q**3*y + 28*q*y**2 + y**2 wrt y?\nAnswer: g**2 - q**3 + 56*q*y + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.19564 - 0.198. Round o to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1693*r**3 - 5*r**4 + 8 + r**2 - 1693*r**3 to j*r**4 + k*r**2 + z*r + q + p*r**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*k**4\/4 - 99*k**3\/4 + 165*k**2\/4 - 117*k\/4 + 15\/2 = 0. What is k?\nAnswer: 5\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11 - -49a68?\nAnswer: 49a79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 145, 148, 151, 154, 157, 160?\n\"Answer: 3*x + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 570 + -331. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 104, -2.\nAnswer: -2, 2, 3, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1.1*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 2 = 4*x. Suppose 4*o - x*f = -3*f + 10, 2*f = o + 2. Solve o*v = -13 + 3 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + t**2 - t + 5. Let v be (-14)\/(1\/(3\/(-6))). Suppose v*r = 2*r + 20. Suppose -r*y = y. Calculate z(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 704 (b) -2\/23 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/3*75*(-165)\/(-1375)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 5 = -11. Solve -5*y = -4*x - 2, -4*x - z*y = -3 + 23 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - t**2 - t + 5. Let w be l(0). Let z = -2 + w. Suppose 3*y - 2*i + 6 = 19, -5*y = z*i - 28. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/721 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1))**(8\/13) assuming s is positive.\nAnswer: s**(-8\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -p**6\/36 - 25*p**3\/3 + 2*p + 6. Let f(x) be the second derivative of t(x). Let w(l) = -10*l. What is w(f(r))?\nAnswer: 100*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1082755 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of l**4\/6 + 2085*l. Let b(k) = -166*k - 1. Determine b(z(x)).\nAnswer: -332*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -45?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/5 + 266*j**2\/5 - 156*j.\nAnswer: -2*j*(j - 130)*(j - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38218, 38218, 38222, 38230?\nAnswer: 38242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tiqqqqi. What is prob of sequence iqqt?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2368*v - 59*v - 139632 = 482*v for v.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-3)*(-4)\/(-40)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 8*b - 2639 = 0. Is b a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**(-2\/21)*c))**(1\/59) assuming c is positive.\nAnswer: c**(-19\/1239)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/8330 and -11\/980.\nAnswer: 16660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13952?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g - 3 = 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 1 + 1)*(5 + i - 5)*(-35*i**2 - 22*i**2 + 12*i**2).\nAnswer: 270*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50)\/14 + -2*10\/(-35)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.9 - 172001.1557852.\nAnswer: -171989.2557852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 16\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 21*v**2 + 7*v + 9. Let r(s) = -10*s**2 - 3*s - 4. Let l(z) = 6*h(z) + 13*r(z). Let i be l(-1). Sort -1, 4, i in ascending order.\nAnswer: i, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3344*z + 350. Does 17 divide k(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16 or -175861?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -127 + -111. Let g = s - -234. Is g bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ep when two letters picked without replacement from slellielp?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 153, 99, -49, -339, -819, -1537, -2541, -3879?\nAnswer: -5599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -77?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*z - k, 73*z = 70*z + 3*k + 12. Solve 2*f - 4 = 3*m, 4*m - z*f - 3 + 9 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 681655 + 1264*m - 681655 to g + f*m and give f.\nAnswer: 1264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -4 (c) 1 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 20*k + 91. What is d(-24)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-104)\/(-6))\/((-7 + (-715)\/(-99))\/5). Calculate the greatest common divisor of 330 and k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of 0*t**2 - 55*t + 0*t**3 - 1\/12*t**4 + 0. Let x(l) = 168*l**2. Give x(p(c)).\nAnswer: 168*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -67*j + 65 - 467 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 89201319469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 5*r**2 + 2*r + 14. Let i(w) = -w**2 - 1. Let h(j) = 4*i(j) + v(j). Let m be h(0). Suppose 0 = -6*t + 4*t + m. Let u(g) = 3*g - 7. Calculate u(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3660 and 2658380?\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 174206 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, s: 2}. Give prob of sequence ys.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 306 - 315. Let g be 14\/63 + (20\/r - -2). Solve g = -5*q + 5 - 25 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 785*v - 12276. What is h(16)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**4 + 183078*v**3 - 5494140*v**2 + 54947400*v - 183168000 = 0. Calculate v.\nAnswer: -61056, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*p + 7*p - 16 = 3*n, -5*n + 16 = -4*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -48\/11105 and -87\/298.\nAnswer: 3309290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6372?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.8668 - 0.704. Let m = -0.16 + g. What is m rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 94.38765 millilitres?\nAnswer: 0.09438765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156109*b + 168 - 168.\nAnswer: 156109*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**3 - 537*f**2 + 319*f - 13686. Calculate n(268).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 13*f + 29. Let l(o) = 2*o**2 + 6*o - 38. Let m be l(-6). Let v be j(m). Solve v*q - q + 2*z + 2 = 0, 3 = -3*q - z for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 12*s**2 - 3)*(-9 + 16 + 23).\nAnswer: -360*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2211 (base 3) to base 2.\nAnswer: 1001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3152, 3180, 3272, 3422, 3624?\n\"Answer: -p**3 + 38*p**2 - 79*p + 3194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -889 - -834.9. Let i = 57.746 + -3.417. Let l = d + i. Round l to two dps.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**4 - 6*p**3 + 115*p - 2 - 115*p to the form m*p + h*p**4 + j + t*p**3 + r*p**2 and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*7\/21 + 12\/(-2). Is 22*((-819)\/o + -2)\/1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x. Let f be -12*(14\/(-6) + 2). Let a(u) = f*u**2 + 2*u - 2*u. Give h(a(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.81 + 0.19. What is the third biggest value in -2\/7, d, -0.4, 0.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) + 4*(sqrt(133) - sqrt(133)*1) - sqrt(133))\/(sqrt(7) - 3*sqrt(63)) + -4 + -2*sqrt(1539) + -1 + 2.\nAnswer: -18*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -177433 from -6384.\nAnswer: 171049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 10694 = -6925. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -6*r**3 - 19*r**2 - 21*r - 341. Let v be l(-15). Calculate the highest common factor of 41 and v.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4806 divided by 3777\nAnswer: 1602\/1259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -4 + 149 + -142?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5883910867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 4*k**2 - 21*k - 17. Let y be g(8). Suppose 7*p - 2*p - i = 189, -2*p = -5*i - y. What are the prime factors of p?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -365*l**3\/3 - 4378*l**2\/3 - 4372*l + 24 = 0.\nAnswer: -6, 2\/365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 7:02 AM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 2*d - 167 - 116 = -91, -3*l - 2*d + 200 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 12 = 0, 0*u - 5*i + 23 = -2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -q**3*r**3 - 2*q**3*r**2 + q**3 + 84*q**2*r + 5*r**3 wrt r?\nAnswer: -6*q**3*r - 4*q**3 + 30*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 433 - 1042 + 189 = -28*k for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -983419*l**2*y - l**2 + 4*l + 2504 wrt y?\nAnswer: -983419*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1451, -4, -5 in descending order.\nAnswer: -4, -5, -1451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.361 minus 1983?\nAnswer: -1961.639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/12 + 992\/(-1344).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) 2 (b) 1 (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136 = 8*s + 20*m - 23*m, 0 = 7*s + 3*m - 119 for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = -74*k - 232, -4*k - 16 = -k + 8*k - 2*t + 21 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 7*j**2 - 8*j - 13. Calculate f(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - o = -55 - 43, 0 = 2*l + 4*o + 98. Let w(r) = 168*r**3 + 49*r. Let n(a) = 7*a**3 + 2*a. What is l*n(v) + 2*w(v)?\nAnswer: -7*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (360 - 342) + (1 - 5) + -1 + -12.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*z**5 + 98*z**3 + 51*z + 22.\nAnswer: -200*z**3 + 588*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, g: 2}. What is prob of sequence og?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + sqrt(8)*-6) - (-1 + (sqrt(50) + -1)*6).\nAnswer: 2 + 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1*sqrt(112) + sqrt(112))**2*-2.\nAnswer: -904 + 64*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6948 + -0.05\nAnswer: 6947.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + (-15 - -5) - 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -658*u. Let t(p) = 11*p**2 + p + 219. Give t(z(d)).\nAnswer: 4762604*d**2 - 658*d + 219","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 8:33 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 566*c - 7 - 10 - 568*c + 12*c**2. Is w(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**6\/(v**(5\/3)\/v))\/(v*v**(-1\/2)*v**(-2)) assuming v is positive.\nAnswer: v**(41\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/2 at most -1057.88?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 + 1)*(-68 - 83 + 195)*((1 - 3 + 0)*(3*a**5 + 0*a**5 - 5*a**5) + a**5 + 2 - 2).\nAnswer: 440*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-86)\/129)\/(8 - 7). Which is the fifth smallest value? (a) z (b) 0.5 (c) -3 (d) 1 (e) 177\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 185\/35 - ((-4)\/(-7))\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of -k**4\/12 + k**3\/6 + 92*k. Let t(a) = -5*a**2 + 3*a. Give -2*p(q) + t(q).\nAnswer: -3*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -571 + 936. Suppose -5*d - 3*u = -h, -2*u + 5 = -u. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 8:44 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-22)\/22*(0 + 0). Suppose -3*y + 3 = 2*x - 0*x, -2*x = -2*y - 8. Solve -2*d - x + 7 = u for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 4*l + 70. Let c = 28 + l. Let o = c - -1. Solve -3*k - o = k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 3 = 0, -272 = 43*c - q - 361 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of 5*b**4\/4 - 250*b**3 + 12870*b**2 + 182520*b - 7472. Let u(m) = 0. Calculate m.\nAnswer: -6, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 0*y - 30. Calculate the highest common factor of 54 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/80 + ((-12)\/5)\/1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -33? (a) 8 (b) 1 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5 - -1 - ((-1)\/(-14) - (-20745)\/3570)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_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: Round -0.006733 to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -23*a**2 - 80*a + 3095. What is k(10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 42039?\nAnswer: -8\/42039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 7:14 PM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2451 + -1580. Calculate the highest common factor of n and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 62*d - 66*d + 129 = 0, 4*d + 636 = 4*w. Are w and 151 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of -4*w + 6 - 1\/12*w**4 + 3\/2*w**2 - 1\/6*w**3. Let h(o) be the first derivative of p(o). What is h(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 0*r + r = 23, 0 = l + 5*r - 35. Suppose j - l = -3*j. Does 5 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-3) + (-85)\/(-75) + (-220350)\/19500\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5}. What is prob of picking 4 u?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1495\/7 - 214. Which is the second smallest value? (a) j (b) 7 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6)\/(-4) - 2)\/(1\/(-11278)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qrrffvyifvrfyrr. What is prob of picking 1 r and 1 f?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17392394, -69569571, -156531532, -278278277?\nAnswer: -434809806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.573152679 rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -3*h + 7. Suppose 92 = 2*j - 4*y, 2*j + 3*y = 8*y + 91. Suppose -52*z + j*z - 20 = 0. Sort h, -3, z in descending order.\nAnswer: -3, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -126, -183, -240, -297, -354, -411?\n\"Answer: -57*l - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -9*t - 2. Let x be a(-1). Let p(v) = v**3 - 7*v**2 - 8. Determine p(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g = 15*g - 65. Let a = g + -13. Solve l + l = a for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 805625 and 625?\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -260, 4, -4498, 7 in ascending order.\nAnswer: -4498, -260, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*m**4*w - 215087*m**3*w - 7*m*w + 3*m - 387*w - 47 wrt m.\nAnswer: 276*m**2*w - 1290522*m*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 4*x**2 + 2*x + 26. Let n(d) = -2*d**2 + d + 14. What is 5*n(h) - 3*r(h)?\nAnswer: -3*h**3 + 2*h**2 - h - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 1 - 1)*(-b - b + 0*b + (-3*b - 4 + 4)*(4 + 1 - 2)) - b**2 + 4*b**2 - b**2.\nAnswer: 13*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8318809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-900)\/36 + ((-7812)\/(-44))\/9 - (-1 - 4)\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from inni. Give prob of sequence ii.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - 2*o + 2*o)*(3 - 4 + 5)*(0*o + 2*o + 0*o).\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.5? (a) 3\/17 (b) 0.5 (c) 0 (d) -58\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) + 0)**2*-6 + (sqrt(288) - 2*sqrt(288)*-6) + sqrt(288) - (-4 + ((sqrt(288) - sqrt(288)*2)*-6 - sqrt(288)))**2.\nAnswer: -8944 + 648*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*a**4 - 367*a**2 + 2*a + 213516?\nAnswer: -20*a**3 - 734*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*x + 46073105 - 46084233 = 0 for x.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 39\/(-5) + 1\/(-5). Let z(n) = 3 + 10 - 9*n - 19*n**2 + 28*n**2 - 10*n**2. What is the remainder when z(r) is divided by 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.4 + -3. Let y = -4 + 8. Let r = y - j. What is r rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-14)\/36)*(-11)\/396*12.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29093899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109537*b - 35*b**2 - 3965*b + 26247*b.\nAnswer: -35*b**2 + 131819*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/6*-3*-107. Let m = -75 - o. Suppose 12 = 4*v - m. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 95*m**2 + 335*m - 22584. Give h(94).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 613?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 916 - 913. Solve 4 = k + s for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41926483?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2982, 22695, 76222, 180471, 352350, 608767, 966630, 1442847?\n\"Answer: 2818*l**3 - l**2 - 10*l + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -3\/2 (c) -2\/15 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9316, -18588, -27860, -37132, -46404?\nAnswer: -55676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 156 and 2704?\nAnswer: 8112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -28 + 780\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -3. Let t = x - 1.9. What is the nearest to t in 8, 1\/7, 0.2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22398300 divided by -91050.\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 3\/4, -63075?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 43*o - 33. What is the tens digit of w(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74111 is divided by 193.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -47521*t**2*u**3 - 3*t*u**2 + 7*t - u**3 + 3*u**2 wrt t.\nAnswer: -95042*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**2 + 23038*j - 4993725. Give m(221).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2168\/7 - -310. Let a be 22\/(-30) - 2\/(-6). Let b = 1.6 + 8.4. What is the third smallest value in b, w, a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 89*a**2 + 12*a + 5. Let v(m) = -89*m**2 - 10*m - 4. What is 4*g(j) + 5*v(j)?\nAnswer: -89*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 403 - -545?\nAnswer: 1352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-2\/27))\/(q**(-1\/5)\/q*q))\/(q**3*(q*q*q**(-2\/17)*q)\/q))\/(q**8\/q**(1\/5))**24 assuming q is positive.\nAnswer: q**(-87649\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l**3 - 4*l - 6*l**3 + 0*l**3 wrt l?\nAnswer: -48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 1 - 3*h + 1.\nAnswer: -3*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -f + 2*q, 2*q - 4 - 1 = -f. Let o = -61.27 + 64.27. Which is the nearest to -1\/2? (a) f (b) -2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-96)*8 - 2\/(-1). Which is the closest to 1.16? (a) y (b) -2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -17*l - 88 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2748808 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -6. Suppose -4*z - 36 = q. Calculate the remainder when 47 is divided by (48\/15)\/((-2)\/z).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from uzz?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 6*p**2 - 7*p - 9. Let t be l(-8). Let c = -82 - t. Is 0.21 greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 415 - 415 + 36*l**2 + (0 + 0 - 1)*(0 + 2*l**2 + 0 + (0*l + 3*l - 5*l)*(-2*l + 0*l + 4*l) - 9*l**2 + 63*l**2 + 25*l**2).\nAnswer: -41*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 896306.7 centuries?\nAnswer: 89630.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i**(-47)*i)\/i)*i*i\/(i*i**(-3\/2)))\/(i*i*i*i\/i**(-23))**(-40))**39 assuming i is positive.\nAnswer: i**(88179\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 0.5, -0.041265, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -159390 and -0.017.\nAnswer: -159390.017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -320*i = -325*i + 26210. What is the thousands digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7856 + 11917. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 36107, 72184, 108247, 144290, 180307, 216292, 252239, 288142?\n\"Answer: -k**3 - k**2 + 36087*k + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, -0.1, 2\/3, 0.112 in decreasing order.\nAnswer: 2\/3, 3\/5, 0.112, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -b**4 + 798*b**3 + 36121*b**2 + 35322*b = 0.\nAnswer: -42, -1, 0, 841","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (-9 - -5) + 10 - -7\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 6*z. Let m be d(-4). Let s = 8 - m. Suppose -o + 183 = 2*o. Calculate the remainder when o is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-8) - 2)*20. Calculate the common denominator of 47\/9 and l*2*(-3)\/44.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - 1 - 42\/(-30). What is the nearest to 2 in l, 0.1, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -0.05 (c) -3516\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 14 = -4*y + n, y - 7 = n. Suppose -10*g + y*g = 2*z - 20, -5*z - 55 = -5*g. Solve 3*h + 4*f + 2 = g, 3*h - 4*f + 4 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 6*f + 5*f - 59 = 0, -4*m - 4*f = -44. Suppose 5*d + 3*z = 14, z + m = 2*d + d. Solve -d = 4*w + 8 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18813149000 to the nearest one million.\nAnswer: 18813000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of q**5\/20 - q**4\/2 + q**3\/3 - q**2 - 3*q. Suppose -l = -5*m + 25, -5*m + 5*l + 5 = -0. Calculate i(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*a = 61*a - 750. Calculate the least common multiple of a and 160.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (355780\/(-15))\/((-68)\/51)?\nAnswer: 17789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 982.0428um?\nAnswer: 982042.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 84465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9235 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.26 plus -7292750?\nAnswer: -7292750.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence be when two letters picked without replacement from {y: 1, v: 3, m: 4, e: 2, b: 2, p: 2}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12116861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 13365\/3330)*-8?\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -106, -56107 in decreasing order.\nAnswer: -2, -106, -56107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence btt when three letters picked without replacement from btvtwwbbtwtbbtt.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 2:35 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(6\/19))**34 assuming n is positive.\nAnswer: n**(850\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, k: 5, i: 5, e: 1}. Give prob of sequence ei.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w + 15. Let t be g(-6). What is the derivative of -t + 24*p**2 - 2 + 1 wrt p?\nAnswer: 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/7 + 1114*m**2\/7 - 29978*m\/7 + 197054\/7.\nAnswer: 2*(m - 13)**2*(m + 583)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of -h**9\/37800 + h**8\/8400 + h**7\/6300 - h**6\/900 + h**4\/6 - 4*h**2. Let c(u) be the second derivative of d(u). Factor c(n).\nAnswer: -2*n*(n - 2)*(n - 1)*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-16))\/((-2)\/12). Let v = -6 - -3. Which is the second biggest value? (a) 5\/3 (b) f (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.3 and 0.13?\nAnswer: 0.559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 358 - 180. Suppose 0 = 2*j - p + 12. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116162?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 3:56 PM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -100, -212, -326, -430, -512, -560, -562, -506?\nAnswer: -380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 717208625?\nAnswer: 5, 7, 131, 6257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, -35250, -4, 3 in increasing order.\nAnswer: -35250, -4, -4\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 401701247*m + 740953605 wrt m?\nAnswer: 401701247","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 43\/4 of a gram?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1823*m + 2192*m + 4 - 1599*m.\nAnswer: 2416*m + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 34122335 - 5?\nAnswer: 34122330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 94*m - 49*m - 47*m + 4 + 4. Determine w(10).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -779, -780, -781, -782?\n\"Answer: -m - 778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 229109, 458210, 687311, 916412, 1145513, 1374614?\nAnswer: 1603715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 - (-5 - (-6 - (-70 + 21))).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -3*s**2 - 8 - 3*s**2 + s + 4*s + 5*s**2. What is x(6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 176306804 to the nearest one million.\nAnswer: 176000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 v, and 1 f when three letters picked without replacement from {f: 4, p: 1, v: 4, b: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -211.077097 to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -86 - -86. Let k = 0.31 + -0.15. Let g = k + -1.76. Is g greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of 0*h - 1\/8*h**4 + 0 + 3*h**3 - h**2 - 1\/60*h**5. Let d be b(-6). What is the nearest to d in -5, -3\/7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -122?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -82*w + 6. Does 15 divide r(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 227710 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-102)\/289 - 686\/(-595))\/((-4634)\/(-35))?\nAnswer: 2\/331","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/((25\/(-19))\/(-5)) and 3\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -4*w - 2212, 2*w - 2783 = 7*w - 2*s. Let h = w - -271. Calculate the common denominator of h\/8 + 1\/1 and -9\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7 - (4 + (3 - 3)). Solve d + 0 = -3*i - 5, i = w*d - 15 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -5*u - 4. Let g(m) = m + 1. Let i = 2 - 6. Let p = -30 + 22. Let c = p - i. Determine c*g(f) - r(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -67035, -67011, -66939, -66795, -66555, -66195, -65691?\n\"Answer: 4*w**3 - 4*w - 67035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*k = -46*k - 1419. Let t = k - -2249. List the prime factors of t.\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*r - r - 3*r)*(2 - 8 - 2 + 1 + 2 + 1 + 2 + 2 - 6 + (-3 + 5 + 0)*(3 - 5 + 0) + 0 + 3 - 2 + 2 - 4 + 0 - 3 + 0 + 2).\nAnswer: -48*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 81\/2 of a litre?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (-6 + ((-10 - -17) + -9 - -7 - 0)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gnmgsnn. Give prob of sequence ms.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 171142 or -13\/2?\nAnswer: 171142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 16 = 3*b - b, -4*b = -4*j + 28. Suppose 2*l + j*k = 96, 4*l - k - 198 = -16. Let d = 64 - l. Calculate the smallest common multiple of 6 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*k + 2*k**2 + 0*k - 4*k**2 + 5 to x*k + w + h*k**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 665\/3 + -6653\/30. Which is the closest to 1? (a) 0 (b) -1\/3 (c) k (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12477 is divided by 78?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 878 in 4, 2, 16, 0.02?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.98 and 2900.\nAnswer: 2842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 10849?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - j - 250 = 0, 0*p - 199 = -3*p - 5*j. What is the remainder when p is divided by 21?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1831, -1827, -1821, -1813, -1803?\n\"Answer: q**2 + q - 1833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -4*p - 3. Let a be t(-6). Let m = 4332 - 4328. Suppose -3*d + 38 = m*z, -d = -2*d - 3*z + a. Let i(v) = v - 4. Calculate i(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3620a2 (base 12) in base 2?\nAnswer: -11010101011111111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(11) + -2*sqrt(891))*-2)**2.\nAnswer: -136*sqrt(11) + 12720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*n - 10*n = 4*p - 5, p - 3 = 3*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-333*t**3 + 473*t**4 + 333*t**3)*(3 - 3 + 1).\nAnswer: 473*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87897908?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 11*m + 8. Let k be u(9). Let g be (-236)\/k + -10 - (-4)\/10. Solve -55 = -3*v + g*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6952?\nAnswer: 2, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of l**4\/6 - 4*l. Let o(f) = 0. Calculate f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*j + 7*j + 12 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23865 by 5.\nAnswer: 4773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -z - 1. Let s(x) be the third derivative of x**6\/15 + x**5\/60 - x**4\/24 + 3*x**2. What is the units digit of s(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 - (38 + 25 + -36)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2674 and 938.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -146773964 to the nearest 10000.\nAnswer: -146770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 + 25*m + 4. Let l be s(14). Let x = -91 + l. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1245247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -579 != -2319\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -5*k - 4. Let y(s) = 5*s + 4. Let c(m) = -3*d(m) - 4*y(m). Let p be c(-2). Solve 5*j - 2*a + p = 0, -5*j - 1 = -4*a + 11 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -21 + 5. Let g = x + -4. Suppose -4*h + 4*v + 124 = 0, g*v + 3 = -1. What is the remainder when 118 is divided by h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -5*w**2. Let v(x) be the second derivative of 5*x**3\/6 + 8*x. Calculate v(m(o)).\nAnswer: -25*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-27)*-3 + 14\/3. Let c be u\/(-24) + (-74)\/(-12). Solve 0 = 5*f + i - 18, -4*i + c = -f - 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + 103.350296149981.\nAnswer: 102.850296149981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2554*j - 3819*j**4 + 1209*j - 2 - 2668*j wrt j.\nAnswer: -45828*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 105612146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 33, -0.5, 9, 14, 3, -0.14?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(10\/7)*w)**(-8\/5)\/(w\/w**(-1\/5)*w\/((w*w**(-3\/5)*w)\/w)))**(5\/3) assuming w is positive.\nAnswer: w**(-199\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/1*15\/6. Let q = r - -11. Is q a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) + -1 + 2)**2 - ((sqrt(468) - sqrt(468)*2)*-3*-5)**2.\nAnswer: -104467 + 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4 + 2 = 5*g, -g + 22 = 5*b. Suppose -t + 2 = a - 0*t, -4*a + 11 = t. Suppose -6*z = -a*z - 9. Solve z*h + 4 = -l - 4, l + 9 = -b*h for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -30a7d8 - -45?\nAnswer: -30a793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of w**7\/70 + w**6\/80 - w**5\/20 - w**4\/16 - 4*w**2. Let t(l) = 0. What is l?\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/3*f**3 + 0*f**2 - 1\/6*f**4 - 1\/3*f + 1\/6 = 0. Calculate f.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - d - 2*d - 1 = 0, -5*d + 25 = 5*j. Suppose 3*x - 4*x = -2. Is x\/(-4 - -2) - (j - 740) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 342860 to the nearest integer?\nAnswer: 586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - 102294216.\nAnswer: -102294224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-2)*572\/39. Let y = g + -19. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -4. Let s = -1 - v. Solve -s - 7 = -4*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 217881973 to the nearest integer?\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*r = -64*r - 18*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) -3.4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, z: 2, e: 3, c: 2, h: 4, f: 6}. Give prob of sequence ec.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k - 3. Calculate the lowest common multiple of 17 and p(-7).\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 181 - 184 = 0. Solve -2*y - z*p - p = 24, y + 3*p + 17 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59146 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3521953771 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 3. Let c = 3 + a. Suppose 0*o = 4*o. Solve -c*d + 0*d = o for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 4*y**2 + y + 4. Let i be r(0). Let w be (16\/(-30))\/(i\/10). Let u = -39.4 + 39. Which is the third biggest value? (a) 2 (b) u (c) 3 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by -260?\nAnswer: -3\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, z: 6}. What is prob of sequence zzzm?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -12060 plus 0.2?\nAnswer: -12059.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, f: 1, n: 10, e: 2, r: 2, u: 1}. What is prob of picking 1 r, 1 f, and 2 e?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 6 + 5 + 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10100010001011 (base 2) to base 7\nAnswer: 42155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 4*t + 10 = 0, 0 = -3*b + 4*t + 23 - 1. Let d be 2 - b*(-87)\/(-6). Let w be d\/8 + 3 + 0. What is the third smallest value in w, -0.1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0)*(-r + r + 2*r) + 2*r - 2 + 2 + (-r + r - 4*r)*(1 + 0 - 3).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/5 of a century?\nAnswer: 4080","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 125889?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -h - 27 - 24, 0 = 4*h - 16. Suppose -57 - 141 = -t*y. Suppose -153 + 408 = 17*a. Calculate the least common multiple of y and a.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -57.067 - -57. Let d = y - 0.133. Sort 2, d, 16 in decreasing order.\nAnswer: 16, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.550073 and 45.\nAnswer: -24.753285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -105 (b) 0.2 (c) -0.1 (d) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 9:34 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 6*m**2 - 6*m + 9. Calculate p(3).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 8*n - 12. Let x be g(12). Suppose r + x = 5*r. Solve 4*a = -2*c + 18, 6*c - c - 2*a = r for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, f: 2, j: 3, k: 2, z: 1}. What is prob of picking 1 q and 2 f?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 63, -1, -0.028, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 0.2, 533, -0.14?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of 0*r**3 + 0*r - 1\/12*r**4 - 1\/2*r**2 + 1\/15*r**5 + 1 - 1\/60*r**6. Let g(l) be the second derivative of y(l). Factor g(q).\nAnswer: -2*q*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-628)\/(-14) + (-23)\/(1610\/(-10)). Calculate the greatest common factor of 2205 and b.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -181.5 to the nearest integer.\nAnswer: -182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -478*d**4*h + 2*d**3*q - 13*d**2*h*q - 28*d**2*q + d*h*q wrt d.\nAnswer: -11472*d*h + 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(76)*-2 - sqrt(76))*-3 + 1*(sqrt(76) - (sqrt(76) + -2*sqrt(76))) + sqrt(76)))\/(1*(-2*sqrt(4) + sqrt(4)) + (sqrt(4) - sqrt(12)\/sqrt(48))).\nAnswer: 192*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11088.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 - 21*a + 195. Calculate r(-30).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 2\/1377 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 695430.\nAnswer: 2, 3, 5, 7727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 16*l**2 + 2*l - 40. Let m be i(11). Suppose -2*r = -16*r + m. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84, -719, -1868, -3525, -5684?\nAnswer: -8339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4*w + 1. What is m(6)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-101)\/102 - (-21 + (-10750)\/(-516))\nAnswer: -14\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 804?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -4*q - 3*p + 13, 5*q - 2*p - 55 = 0. Suppose -24 + q = -i - 2*t, 5*i - t = 76. What is the greatest common divisor of 5 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 11*m**2 + 9*m + 14. Let l be s(10). Solve l*h - 12 = 8 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -3*n + 320 + 813, n - 373 = -5*p. Let q = 476 + n. What are the prime factors of q?\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84) - 2*sqrt(84) - sqrt(84)) + sqrt(84))*-6)\/(sqrt(96)\/(sqrt(8)*1)) + sqrt(112) + (0 + sqrt(112))*-2 + -1.\nAnswer: -1 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2.5 (b) -843 (c) -0.03 (d) -0.4 (e) 4 (f) 2\/11 (g) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.66584637049 + -4\nAnswer: -3.33415362951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.023853 to one dp.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of 0*m**6 + 0*m**5 - 3\/56*m**8 + 0 - 1\/6*m**4 + 0*m**2 + 0*m**3 - m + 0*m**7. What is the third derivative of x(l) wrt l?\nAnswer: -360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34911258?\nAnswer: 2, 3, 5818543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 44, -1, -3, 3 in decreasing order.\nAnswer: 44, 4, 3, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12735 + -6719. Does 32 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18 + 2 + 3)\/((-4)\/16*-4)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4140043 (base 7) to base 14.\nAnswer: cd1ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1714 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 c when three letters picked without replacement from {f: 2, c: 1, b: 2, h: 8}.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(242) + -1 + 2 + 3 + (3 + 0 + sqrt(242) - (sqrt(242) - (sqrt(242) + (2 + sqrt(242))**2*-3))).\nAnswer: -731 - 110*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 670169.2 milliseconds?\nAnswer: 670169200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in 7, 36\/19, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23? (a) -4\/3 (b) 4 (c) 2\/11 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 11, z: 1, f: 8}. Give prob of sequence tf.\nAnswer: 22\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 7) to base 12\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0521 + -20.4479. Let j = 20.49996 + l. Round j to 6 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 32.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -13*v**2 - 6*v - 6. Let u(z) = 26*z**2 + 13*z + 13. Calculate 13*d(m) + 6*u(m).\nAnswer: -13*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -13894277\nAnswer: 4168283.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 680 is divided by 301.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37 + -34. Let u = 46 - 46. Sort -0.1, w, u, 1\/7.\nAnswer: -0.1, u, 1\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/312 and -28 - -49 - 5511\/260?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (3 - -6) + -1 + 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 42739 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7340533 by 115.\nAnswer: 7340533\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -39, -95, -203, -381, -647, -1019?\nAnswer: -1515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.266 + 0.04?\nAnswer: 0.306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -6. Suppose -27 - 54 = -3*y. Let t = y - 24. Sort s, t, 0.\nAnswer: 0, s, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.59 - 0.09. Let z(g) = -96*g - 5185. Let i be z(-54). Which is the nearest to i? (a) -2\/5 (b) p (c) 0.1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485.4509l in millilitres?\nAnswer: 485450.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2205) - sqrt(45))*-4)\/(sqrt(63)\/sqrt(7)*-1).\nAnswer: 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - -5. Let n = 14 - f. What is the closest to -3 in -0.4, n, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 580 + -578. Let l(z) be the first derivative of 4 - 5\/2*z**n - 7\/3*z**3 + 2*z. Factor l(u).\nAnswer: -(u + 1)*(7*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 32bad64 + 1?\nAnswer: 32bad65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/103 in 1, 0.5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 65 - 101. Let o be (20\/a)\/(15\/(-18)). Let n be (2\/(-14))\/(6\/12). Which is bigger: n or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/11, 2, -3, -21221899?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 7*r + 2. Let u(c) = -c. Let f = -83 - 2. Let s = 86 + f. Let h be 2 - (s - 2 - 3 - -4). Determine h*u(d) + k(d).\nAnswer: 5*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 1. Let u be w(0). Let a(n) = 27*n**3 - n + 1. Let h be a(u). Let z = -16 + h. Is z a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 5151*h - 118466. Calculate k(23).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 6 = -5*j, -2*b + 6 = -2*j + b. Let n(w) = -285*w - 3131. Let q be n(-11). Solve -4*f - 4*g + 20 = 0, j = -f + q*g - 5 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68851884?\nAnswer: 2, 3, 557, 10301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 3400\nAnswer: 3\/1700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000024296 rounded to 7 dps?\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5*m = 0. Let o be 11\/(-1) + m + 0. Let u = o + 29. Calculate the remainder when u is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 784 rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-638)\/87 + (11 - (2 + -1))?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/18*(-3020 + 2). Is 1\/(-2)*u\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 - (-2925)\/21*5054\/15884?\nAnswer: -15\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 6*x - 8. Let a(l) = 7*l - 8. Let b(f) = -f + 1. Let d(s) = -a(s) - 3*b(s). Let t(c) = -8*d(c) - 5*m(c). Let g(w) = -4*w + 29. Calculate t(g(z)).\nAnswer: -8*z + 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (8\/48)\/(6\/(-9)) - 4617\/(-1620)\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -76 - -4097?\nAnswer: 4021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -293, 1, -3 in ascending order.\nAnswer: -293, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -243993426090 + 2*y + 243993426090.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 25*m**3 - 2*m**2 - 3*m + 2. Let g(d) = -d**3 + d**2 + d - 1. What is -2*g(k) - s(k)?\nAnswer: -23*k**3 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 - 10022112102112?\nAnswer: -10022112102022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3, -5, 6590?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/5 + 12*y\/5.\nAnswer: -y*(y - 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.520997 + -219.522837. Let d = -219 - c. Round d to 4 dps.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 405 and 255.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1242, 1236, 1234, 1236, 1242, 1252, 1266?\nAnswer: 1284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 865104 is divided by 173.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 170*r - 436*r + 216*r. Let p(y) be the first derivative of y**2 - 1. Determine p(w(z)).\nAnswer: -100*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -133577*i - 3740170. What is y(-28)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1771667 != 1771667?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14288596?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 7*r + 11. Let m be z(6). Solve 2*g - m*g = -15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, k: 6}. Give prob of sequence kk.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus -34591.007957?\nAnswer: -34591.207957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 101000110101 (base 2) to base 3\nAnswer: 10120210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 1 = 3*g, 29 = 3*k - g. What is x in 21*x**4 + 12*x**5 - k*x**5 + 24*x**2 - 48 + 42*x**3 - 48*x + 6*x**3 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 + 0.321. Let d = -33.78033037 + 33.75933. Let j = d + v. Round j to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.09731 - -0.19731. Let z = 3 - 2.8. What is the closest to h in -0.2, -11\/8, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 173 = t - 508, -2*t = -3*f - 1364. What is the hundreds digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 255, 512, 761, 996, 1211, 1400?\nAnswer: 1557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 8*i = 8*n - 6743, 4*n - 2*i - 5344 = 0. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1872)*5 + 5 + 0.\nAnswer: 5 + 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 3:22 PM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 515050980?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**31*(h\/h**(-36))\/h)**(-19) assuming h is positive.\nAnswer: h**(-114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 8. Let w = -0.6 + -0.4. Let r = w + 3. Which is the closest to r? (a) t (b) -5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44398012.\nAnswer: 2, 11099503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 602, 589, 570, 545, 514, 477?\n\"Answer: -3*s**2 - 4*s + 609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-54)\/24 - (-2)\/(-8).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2\/163, -0.05, -9, 15.\nAnswer: -9, -3, -0.05, -2\/163, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1222121020 (base 3) to base 4\nAnswer: -21202203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -64? (a) -4 (b) -2\/7 (c) 4 (d) 0.03 (e) 0.136\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 - 2*a + 2*a + a**3)*(0 - a + 0 + (-1 + 1 - 2)*(0 + 0 + 2*a) + 0 + 3*a + 0)*(0 + 6 - 4).\nAnswer: -4*a**4 - 8*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 1:11 AM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*sqrt(352))\/sqrt(8))**2 + (sqrt(44)\/(sqrt(8)\/(sqrt(2)*-4 + sqrt(2))))**2)*1.\nAnswer: 803","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1336392 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2 - 150*w + 312.\nAnswer: -3*(w - 2)*(w + 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -181.\nAnswer: 4\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3205 + 3204 + (-2 + -7 - (1 - 2))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -13378*x + 3424876. Determine s(256).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*t - 3*t + 0*t)*(-4 + 2 + 3) + 4*t - 2 + 4*t - 3*t)*(-4 + 4 - 4)*(3 - 3 + 2).\nAnswer: -56*t + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of 5*a**8\/336 - a**7\/21 - 19*a**6\/4 - 54*a**5 - 2385*a**4\/8 - 945*a**3 + 1172*a**2. Factor w(x).\nAnswer: 5*(x - 14)*(x + 3)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/7))**(-41)\/((k**(-1\/5)*k)\/k*k**(-7)) assuming k is positive.\nAnswer: k**(662\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 14 = -3*l, 4*r + l = -0*l. Find the common denominator of 101\/16 and r*3 - 7\/((-168)\/(-290)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 4, -42, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5153, 11089, 17817, 25343, 33673, 42813?\n\"Answer: v**3 + 390*v**2 + 4759*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3789 + -3770. Solve -5*s - 21 = 4*o, 2*s = 5*s - 4*o + f for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8*1)\/(6\/2937). Let i = 1539 + -866. Suppose -3*n - i = -m. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -334674, -334582, -334484, -334374, -334246, -334094?\nAnswer: -333912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 4 = -v - h, 5*v = -h + 2. Let n be (v - (-2)\/(-3)) + 4. Which is smaller: n or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120458 is divided by 753.\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1e1 - 485?\nAnswer: -2a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -l**3 - 103350*l**2 + 133851?\nAnswer: -3*l**2 - 206700*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 5*r = 4*m - 72, -3*m - 4*r + 85 = 0. Suppose -5*f + a = -0*f - 141, -5*a + m = f. What is the greatest common divisor of 4 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7\/2 + -4)\/((-6)\/(-144)*-1)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2406 - 2253 = 1334*f - 1225*f + 8203 for f.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 29 - 31 = -2*b, 0 = c - 5. What is the remainder when 157 is divided by b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/((-5)\/((-10)\/(-4))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 7*f + 31 = 0. Let g(k) = -k**2 - 11*k - 1. What is the remainder when f is divided by g(-9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 163 - 19?\nAnswer: 14a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 3*q**2 + 8 + 12 - 113*q - 2*q**2 + 119*q to the form z*q**2 + t*q + s and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 57913416 to the power of 1\/3, to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 891109 and 277.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4430850 divided by 1635\nAnswer: -2710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -1356*n - 8122. Calculate v(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -w + 3. Suppose -o + 1 = 4*h, 2*o + h = -3*o + 5. Suppose -w*d = -3*d + o. Which is smaller: -1\/4 or d?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*v**3 + 35*v**3 + 163*v**3 - 261*v**3 + 21*v**3 + 54*v**3.\nAnswer: 65*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4\/27, 215, 2\/5, 1\/10?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 2*z = -24. Let h = -79 + 81. Solve -h*p + 11 = 5*l - z*l, -5*l - 34 = -3*p for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 76f - 60e3?\nAnswer: -5974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/54 and 5\/3.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 21341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.2 less than 177?\nAnswer: 167.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(42)\/((4*sqrt(72))\/sqrt(12)).\nAnswer: -1 + sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -v**6\/24 - 7*v**5\/4 + 75*v**4\/8 - 115*v**3\/6 - 8*v**2 + 3. Find n, given that s(n) = 0.\nAnswer: -23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*i**2 - 12*i + 34*i**2 - 16*i**2 as z*i + a*i**2 + f and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02914523164 to four dps.\nAnswer: 0.0291","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**2 - 4*b**2 + 3*b**3)*(43*b + 3*b + 25*b).\nAnswer: 213*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 6*l. Let t(j) be the second derivative of -376*j + 379*j - 8 - 2*j**3 - 2*j**2 + 2*j**2. Calculate t(n(f)).\nAnswer: -72*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 5:37 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 313? (a) 2 (b) 18 (c) -5\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + 28*u + 54. Let s be z(30). Let r(g) = g**3 + 5*g**2 - 22*g - 94. Let p be r(s). Solve -4 = p*l, -3*m + 8*m + l - 13 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (26*c + 14*c + 42*c)*(1 + 0 + 0) to the form u*c + s and give u.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24172 + 1261. Does 71 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -47*m**5\/120 + m**4\/12 + 38*m**3\/3 - 27. Let p(n) be the third derivative of l(n). Find the first derivative of p(r) wrt r.\nAnswer: -47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61646086.4 rounded to the nearest 1000000?\nAnswer: -62000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(190) - (sqrt(190) - -1*sqrt(190)))*-1 + sqrt(190) + (-2*sqrt(190)*-2 - sqrt(190)))*-5)\/(sqrt(160)\/(-4*sqrt(256) - sqrt(4))).\nAnswer: 825*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1019.\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 294 - 954 = -30*x. Let s = -1 - -5. Calculate the remainder when x is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -7. Sort -0.4, i, 1\/9 in increasing order.\nAnswer: i, -0.4, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 5*t + 2 = 0, 19*t - 14*t + 10 = 5*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5201, 5197, 5191, 5183?\n\"Answer: -z**2 - z + 5203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 - (5\/2)\/(11\/(-6182)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -82.620738 rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 149760 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*v**4 - 116*v**3 + 116*v**3 + (3*v + 0*v - 2*v)*(-v**3 - 3*v**3 + 2*v**3) to the form h*v**4 + k*v**2 + m*v**3 + o + t*v and give h.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2807.19*1.\nAnswer: -2807.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 57*k + 161 + 163 + 157 - 481 as n*k + l and give n.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1024*x - 1023*x = 12. Let m(o) = -o**3 - o**2 + o. Let h(a) = -3*a**3 - 4*a**2 + 4*a. Determine x*m(f) - 3*h(f).\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1993\/((-3)\/135*-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35619240+0.0537112\nAnswer: 35619240.0537112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -53*j**2*k**4 - 31*j**2*k + 3*j**2 + 3*j*k - 435*k**4 - 3*k wrt k?\nAnswer: -636*j**2*k**2 - 5220*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 4:17 PM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*i + 44*i - 169*i + 42*i + 40*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 3520 + 4210. Let s be (-1)\/(2\/4) - -94. Suppose -c - 4*z + 138 = 2*c, 2*c = 2*z + s. What is the highest common factor of c and o?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - 7. Let f = 14 - g. Let a(d) = -d**2 + 5*d + 16. Let o be a(7). Solve f*z + o = -13 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 1:52 AM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 745143744 to the power of 1\/2, to the nearest integer?\nAnswer: 27297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 3*a - 91 = s, -5*s = 5*a + 455. Let l = s + 168. What are the prime factors of l?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fwwwfwfwwfwwwwwf. What is prob of sequence fff?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1141367783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 602741.\nAnswer: 41, 61, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-59 - ((-20 - -26 - 5) + -21)) + -21?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 5*j + 8 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**2 - 49*x + 27. What is the lowest common multiple of 16 and l(-25)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 - -2650*34\/(-1360)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -j**5\/50 - j**4\/10 - j**3\/6 - j**2\/10 - 20. Factor y(p).\nAnswer: -p*(p + 1)**2*(p + 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4987501 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19479 and 190533.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14199 divided by -3?\nAnswer: -4733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 1550001*k + 1. Let b be l(-1). What is b rounded to the nearest 100000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288) + (4 + sqrt(288) - sqrt(288))*1 + 4 - ((sqrt(288) + 3*sqrt(288))**2 + 1 + -2).\nAnswer: -4599 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38 - 19. Let y(f) = -34*f**3 - f**2 + 2*f - 1. Let a be y(1). Let g = x + a. What is g rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 10*w - 175. Let o = w + -23. Suppose -2*r + 35 - o = -5*x, -5*r - 4*x = -107. List the prime factors of r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 98*g**5\/9 + 9842*g**4\/9 - 3902716*g**3\/9 + 75425864*g**2\/9 - 42145648*g\/9 + 5975360\/9 = 0.\nAnswer: -263, 2\/7, 20, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18343665*c**4 + 32786905?\nAnswer: 73374660*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4797*g**3 - 4797*g**3 + 20*g**4 + 4 + 2*g**2)*(0*g - 3*g + 2*g + 4 + g - 4 - 1 - g + 1 + (g + g - 3*g)*(3 + 0 - 5) - 4*g + 0*g - g + 1 - 1 - g).\nAnswer: -100*g**5 - 10*g**3 - 20*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -8, -1, 3, 1 in decreasing order.\nAnswer: 5, 3, 1, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -130 - -125. Sort -15, -3, 5, b in descending order.\nAnswer: 5, -3, b, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -91 + 92.85. Let x = d + 0.15. Is x > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -354579, -354573, -354563, -354549, -354531, -354509, -354483?\n\"Answer: 2*s**2 - 354581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36 - 17. Let v be 2\/((-2)\/3) + -6. Let m = v + b. Solve 2*l + f + m = -3*f, 3*l + 15 = f for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96 and 2144032?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/7 (b) 0.1 (c) 3 (d) -193 (e) -1\/13 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 4207587.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4*s**2 - 2*s - 1. Is 5 a factor of b(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4, -97, 4\/3, 5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/76 and -119\/2356360.\nAnswer: 44770840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12 - 3)\/((-2)\/(-1942)). Let k = 12239 - f. Round k to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2226 and 143286984?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -911537502 divided by -6.\nAnswer: 151922917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 8*l**2 - 83*l - 15. Let x(m) = -10*m**2 + 82*m + 18. Calculate -6*w(d) - 5*x(d).\nAnswer: 2*d**2 + 88*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of 0*j**2 + 2\/3*j**4 - 2 + 1\/10*j**5 + 4\/3*j**3 - j. Let p(q) be the first derivative of k(q). Let p(h) = 0. What is h?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1885 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -332962562 divided by -1.\nAnswer: 332962562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*k - 10173 - 97647 = 0. What are the prime factors of k?\nAnswer: 5, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1907407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 405, 385, 337, 249, 109, -95, -375, -743?\n\"Answer: -2*n**3 - 2*n**2 + 409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8\/8547 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -110 - -207. Let k(z) = 1 - 99*z**2 + t*z**2 - 1. Let r(d) = -5*d**2. Give k(r(v)).\nAnswer: -50*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h + 3*h**2 - h**3 + 5 + 0*h**3 - h. Let z be i(3). Suppose -z + 0 = -2*g. Solve -g*l - 3*q + 2 = 0, 0*l - l = 4*q + 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a second in milliseconds?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbgfajfl. What is prob of picking 2 b, 1 g, and 1 a?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -317*z = -314*z - 2862. Suppose 0 = 3*u + z - 2421. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6661352?\nAnswer: 2, 23, 41, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pcckkkccpkc. Give prob of sequence pkpp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**2 + 4*i + 1. Let t = 163 + -75. Let x = t + -85. Determine l(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 12:38 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/21 and 34\/3789.\nAnswer: 26523","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 4*v**3 - 2*v**2 - 40*v + 2. Let n(w) = 3*w**3 - 2*w**2 - 41*w + 1. Determine 5*n(m) - 4*t(m).\nAnswer: -m**3 - 2*m**2 - 45*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Is 3630469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16401000 and 30.\nAnswer: 16401000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**2 + 4*w**2 + 4*w**2 - 3*w**2 - 7*w**2 + 58*w as q + b*w + o*w**2 and give b.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of 1\/60*h**6 - 225\/4*h**2 - 96*h - 1\/6*h**4 + 115\/8*h**3 + 1\/168*h**7 - 17\/40*h**5 - 2. Solve y(q) = 0.\nAnswer: -5, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 9885 and 0.082.\nAnswer: 9885.082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t + 11. Let y(l) = -l. Let n(k) = -u(k) - y(k). What is n(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-1*sqrt(3267)*2.\nAnswer: 66*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 129929893591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -55851 or -56528?\nAnswer: -56528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 484685?\nAnswer: 5, 31, 53, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 135491, 270740, 405989?\nAnswer: 541238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of 25*q**4\/3 + q**3\/6 + 76*q**2 - 176*q + 53. Let m(c) be the first derivative of a(c). Differentiate m(f) wrt f.\nAnswer: 200*f + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 + 3)*(0 - 4 + 3) + (2 - 3 + 0)*(1 - 3 + 3) - 1 + 1 - 1)*(-48*h - 51 + 103 - 53)*(-4*h + h + 10*h).\nAnswer: 1344*h**2 + 28*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1295*d + 18 + 30 - 648*d - 47 - 707*d.\nAnswer: -60*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -1153*p - 27. Is z(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/6)\/((-2)\/21). Let p = 5 + -5. Find the second derivative of -s + o*s**4 - 10*s**4 + p*s wrt s.\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 24*d**2 - 30*d - 25. Let t be y(-25). Suppose 6*g + t = -260. Let m = g - -116. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.22909 and -6.\nAnswer: 1.37454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -119, -165, -233, -335, -483?\nAnswer: -689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 14\/24*4\/(-14)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 4:31 PM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -4*x**3 + 6*x**2 + 5*x - 1. Give i(4).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000142498 rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28457596?\nAnswer: 2, 7114399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30349 * 0.1.\nAnswer: 3034.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 12) to base 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 233987 + -115776. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00044449 to 6 decimal places.\nAnswer: 0.000444","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 7*x**2 + 19*x + 38. Calculate z(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2999 divide 492384817?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -10, -4\/5, 34, 20\/3, -0.3, 5, -0.2?\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - -1. Suppose x = -r*x + 675. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xc when two letters picked without replacement from {c: 8, m: 7, x: 3}.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 21*u**3 - 5838*u**2 - 4*u + 1107. Determine s(278).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 16 = 0, 158 = 3*p - 3*k + 1085. Let y be (1 + p\/(-2))*2. Let l(u) = 26*u + 9. Let z be l(1). What is the highest common divisor of y and z?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 2 + 3. Let m = 1 - g. Suppose -2*l + 24 = m. Solve 3*p - l = -t, 2*t + 0 = 3*p - 14 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/2 + 11*a**2\/2 + 9*a.\nAnswer: a*(a + 2)*(a + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t - 14*t + 5*v - 23 - 25 = 0, -21 + 23 = 2*t + 2*v + 14 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -7*d + 10. Suppose 0 = 4*f + 5*k + 7, 12*k - d = -f + 13*k. Solve -4*u - 3 = -c, 2*c + 3*u + 7 = -f*u for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/9*(-23)\/((-1932)\/216).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -324.8737 rounded to the nearest integer?\nAnswer: -325","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/921 or 0?\nAnswer: -2\/921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 212 and 20.\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 21 = 3*v - 55, -3*v + 56 = -5*r. Calculate the lowest common multiple of v and 420.\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 11:15 AM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -3. Suppose 3*u = 3*s + 2*s + 32, 0 = -v*u + 4*s + 32. What is the smallest common multiple of u and (2\/4)\/(5\/70)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.5 times -6?\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gyogyyyggzyry. What is prob of sequence ry?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + 10*n - 1. Let a be s(10). Let g(v) = 20*v**2. What are the prime factors of g(a)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 64\/3 in 1, -0.09, 0.03, 84, 2\/21, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (70 - 24) + -89 + 108\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 85\/6*3*1896\/(-23700).\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 3351067.2 microseconds?\nAnswer: 0.0000387855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 25c + -1057?\nAnswer: -ac8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -13*j**3 + 2*j**2 - 69*j**3 - 4*j - 3*j**2 - 1 - 98*j**3 + 2*j. What is the hundreds digit of b(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.249 and -1485.54?\nAnswer: 369.89946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17907 divided by -3.\nAnswer: -5969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 6:25 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ixi. Give prob of picking 2 i.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/9)\/(1\/15*-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 3*h + 2 = 6, -j - 4*h = 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(-3)\/(-12)*2. Let p = 0 + y. Suppose -p = 5*t - 6. Which is smaller: -0.2 or t?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-2*3\/12 - 3)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71 divided by -316141?\nAnswer: 71\/316141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 561 (base 12) to base 3.\nAnswer: 1002101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1221 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 0. Let t = 60 + -54.4. Let n = t - 5.2. What is the second biggest value in 3, s, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 620 = 5*u + 4*h, 4*u - 503 = -h. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2906660 divided by -581332?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -9*b**3 - 31*b**2 - 19*b - 122. Let d(k) = 4*k**3 + 15*k**2 + 10*k + 57. Let w(j) = -13*d(j) - 6*h(j). Give w(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 66 - 36. Let b = t + -28. Solve d + f - 4 = -2, -b*f - 6 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 * -4.75747\nAnswer: 47.5747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 3*l = 47, -33*l - 16 = -2*s - 37*l. Suppose -f + 1184 = -s*j + 16*j, 4*j - 5950 = -5*f. Does 21 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) - (-4 + sqrt(16)\/sqrt(8)))**2.\nAnswer: 56*sqrt(2) + 114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1132.79323 to the nearest 10.\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 9*b**2 - 7. Let l be q(9). Let u = l + 10. Let d = 0.6 - 1. Sort d, 0, u in decreasing order.\nAnswer: u, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47946356.\nAnswer: 2, 599, 20011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u - 4 + 4)*(-2*u**2 + 2*u**2 + 3*u**2 + (2*u**2 + 7*u - 7*u)*(0 + 4 - 2)).\nAnswer: -21*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/(sqrt(18)\/sqrt(3)) + (-1*sqrt(17)*5)**2.\nAnswer: sqrt(17) + 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11879 = 6*q - 5683. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a**2 + 1. Suppose 0 = -3*u - 0*u. Let d(z) = z**2 - z - 1. Let f be d(u). Determine t(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 5*w - o + 7, -2*w = -5*o - 7 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29*l**2 - 18119*l - 12458571.\nAnswer: 58*l - 18119","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 2 = 2*n + 26, -11*z = 4*n + 56 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.05*-28.4\nAnswer: -1.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 515 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-9))\/(623\/1068)?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 661*p - 327*p - 335*p. Let v(j) = -1639*j**2. Calculate a(v(h)).\nAnswer: 1639*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 3*c - 2*a, -5*a + 52 = -3*c + 75 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11316)\/(-861) + 1\/(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 6 + 20 - 16*q.\nAnswer: -16*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2156207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (1 + -3 + 7 + 2 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109178.\nAnswer: 2, 79, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 547595?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/(-3)*(88\/60)\/22.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4510, 4957, 5404, 5851, 6298, 6745?\n\"Answer: 447*u + 4063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - ((32 - 25) + 2 + 1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-48)\/(-56))*-7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -5*i + 110, 3*x = 4*i + x - 96. Suppose -252 = -b - 4*v - i, -459 = -2*b - v. What is the remainder when b is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2*j - 3 = -5*s, 5*j = s - 15. Let i = -430 + 622. Suppose s = -2*b - 6*b + i. Is 9 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.19 - -3.2245. Let r = a - -5.9655. Let y be 50\/(-126) + 2\/7. Sort y, 0, r in decreasing order.\nAnswer: r, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 18*w**2 - 81*w + 24. Let f be n(-10). Let q be 2*(-2 + 0) - -5. Let c be q*3 - (19 + -50). Calculate the highest common factor of f and c.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*t + 26*t = -260. Calculate the greatest common factor of t and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1852*o**2 + 6*o + 40*o + 3700*o**2 - 1851*o**2.\nAnswer: -3*o**2 + 46*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 1 (c) 6.299 (d) 32\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.032 + -0.1. Let w = -1.122 + y. Let r = -1.1918 - w. What is r rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/10 + ((-282)\/(-15) - 4). Suppose -19*z + c*z = -60. Suppose -w = 2*w - z. Sort w, 3, -1, 0 in ascending order.\nAnswer: -1, 0, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 10:35 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, m: 3, k: 6}. What is prob of picking 3 k?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80 divided by -13.\nAnswer: -80\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -181*d**2 - 15*d - 7. Let q(i) = -180*i**2 - 15*i - 10. Let r = 743 + -745. Let j(c) = r*q(c) + 3*w(c). Find the second derivative of j(n) wrt n.\nAnswer: -366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c237 + 0?\nAnswer: c237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 107 - 102. Suppose -4*k + 3*z = -17, o*z - 2*z - 3 = 0. What is the greatest common divisor of k and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1804.9 - -1805. What is the nearest to 1\/4 in o, 4, -1, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 6 (b) -2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*y - 5. Suppose -y*d = -d - 507. Suppose 2*k + q = 4*q + 98, 0 = -3*k - q + d. Is 16 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 4 + 19 = -b, 6*f - 12 = -b. Solve 14 + 7 = -f*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 219 divided by 29?\nAnswer: 219\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1300, 2615, 3930, 5245, 6560?\n\"Answer: 1315*x - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b4 - -7100?\nAnswer: 71b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*(0 + (-2)\/3). Let a(m) = m**2 + 2 - 3 - 2*m**y + m + 29*m**3 + 0*m**2. Does 9 divide a(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-1*3\/222). Let j(z) = -4*z**3 - 77*z**2 - 322*z + 21. Let h be j(-4). What is the highest common divisor of h and i?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65893 to the power of 1\/2, to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1118\/875 - -164\/125. Which is bigger: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -361?\nAnswer: -366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s*s\/s**1*s)*s)\/s)**(-9)*s*s**(-3)*s**6)**(-11\/3) assuming s is positive.\nAnswer: s**(-143\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 22572 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 2:39 AM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 288*o**2 + 15*o + 15. Suppose 4*s + 6*m - 12 = m, 2*m - 4 = -2*s. What is the thousands digit of c(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/57 + (28 - 6012\/(-1944)*-9).\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22016 < 22016?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 202 - 164. Let k = -7169.97 - -7208. Let p = k - f. What is the smallest value in -5, 0.2, p?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44 + -501. Is 4\/(-14) - h\/7 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49514?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 306 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -297*w**2 + 82*w**2 + 117*w**2 + 91*w**2.\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 27\/135 - 19\/(-5). Solve -3*a + 3 = 4*c + 8, 3*c = n*a - 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + d + 0*d)*(0 + 1 + 0) - 22 + 22 - 4*d.\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 359 + 604 = 21*p - 276. Solve 6*w = p - 101 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llll. Give prob of picking 2 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1305 + 14025.\nAnswer: 15330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -10*((-24)\/(-15) + -2). Suppose -3*p = y*l - 467, -2*p + 139 = -p - 2*l. Suppose 2*b + d + 3*d - 250 = 0, -4*d - p = -b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -707*c**2. Let m(b) = 54*b. Give m(l(x)).\nAnswer: -38178*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/3)\/(2\/(-21)). Let h = a + -1. Let v = 14 - h. Which is greater: v or -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 90\/(-4)*(68\/(-10) - -6). Calculate the highest common factor of 558 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1312 divided by -31\nAnswer: -1312\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-252)\/7182*(-2774)\/511?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20*(-9 - 499\/(-60) - 3\/(-5))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -25, 174 = 2*q + w + 67. Calculate the remainder when 1234 is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30449, -30451, -30453, -30455, -30457?\nAnswer: -30459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.7, 1\/9, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w + 3*w - 4*w + (3 + 1266*w - 284*w + 31*w + 283*w)*(1 - 8 + 11) in the form f*w + h and give f.\nAnswer: 5185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**5 + 0*c**5 + 0*c**5 + (-c**2 - 3*c**2 + 3*c**2)*(575*c**3 + 368*c - 367*c - 53*c**3).\nAnswer: -524*c**5 - c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (3040\/240)\/((-7)\/(63\/24))?\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-2) - 6\/(-2). Suppose 5*w = -3*n + r, 5 = 2*w - n - 4. Let h = w + 3. Does 3 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 228588 and 1548?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 202386 and 4806.\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4350 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -14692, 5\/2, 0.05, 1\/2 in descending order.\nAnswer: 5\/2, 1\/2, 0.05, -14692","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (-108)\/(-20)) + 33\/45?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*u**4 - 535*u**3 + 150*u**2.\nAnswer: 5*u**2*(u - 15)*(7*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 - 4532560?\nAnswer: -4532601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*c + 315 + 105 = 0 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -5*a + 24. Suppose -3*r = -a, 0 = 4*g - 2*r + 46 - 10. What is the units digit of (-2)\/g + (-30)\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w - 4*w + 4*w. Let v(k) = -6*k**2 + 4*k + 4. Let o(l) = 7*l**2 - 5*l - 5. Let m = 3 - 8. Let j(y) = m*v(y) - 4*o(y). Calculate j(t(h)).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110101 - 1011?\nAnswer: 11101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = k - 7829 - 4968, 0 = -3*k - q + 38371. Is 73 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2627*w**4 + 3*w**3 + 3*w**2 - 63. Let o(f) = f**3 + f**2 - 20. Let p(r) = -2*i(r) + 6*o(r). Find the first derivative of p(n) wrt n.\nAnswer: -21016*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -79, -83, -87, -91?\n\"Answer: -4*c - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 2*m = -56027 - 69248, 3*m = -5*a + 125270. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.547067 to two decimal places.\nAnswer: -2.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 99445 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or -3\/344?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, t: 5}. Give prob of sequence txtx.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (771\/(-12))\/((-16)\/128). Let k = c + -301. Is 4 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -592555396 - -24.33\nAnswer: -592555371.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 2304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/q**(-10)*q*q*q**(-15)*q**31*q\/(q\/q**(9\/2)*q))**(-2\/25) assuming q is positive.\nAnswer: q**(-67\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + f + 48, -4*s + 2 = -3*f - 43. Suppose 11*l = -9 + 53. Let z(p) = 6 + p**3 + 2 + l*p**2 - p - 3*p**2 - 10*p**2. Determine z(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 9*b - 2. Let f(v) = -v**4 - v**2 + v - 1. Let c(h) = 2*h**4 + 200*h**3 + 2498*h**2 + 2*h - 2. Let u(n) = b*c(n) - 2*f(n). Factor u(t).\nAnswer: 4*t**2*(t + 25)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.03, -5, 11148?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1\/16 (b) -4 (c) -0.3 (d) 111 (e) -0.05 (f) 4\/35 (g) -1\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15*(-152)\/570*33\/(-6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*t - 37*t - 26*t - 25*t.\nAnswer: -80*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4797, 4863, 4973, 5127?\n\"Answer: 22*p**2 + 4775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 60 - 54. Calculate the common denominator of -31\/33 and 92\/180 + c\/(-15).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 488002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -13 + 4\/(4\/3). Is h\/(-12)*53 + (-10)\/60 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-26)\/(-8) + 3\/(-12). Let n(z) = z**3 - 2*z**2 + 2*z + 4. What is the units digit of n(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -28, -110, -328, -748, -1436, -2458, -3880, -5768?\n\"Answer: -11*l**3 - 2*l**2 + l - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -197368\/9 or -21931?\nAnswer: -21931","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*q)*(-6 + 5 + 2)*(0 - 2*q + 0).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 7*t**2 - 7*t. Calculate the remainder when 29 is divided by l(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w - 1. Suppose 2*q + 4 = 10. What is t(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 158? (a) -0.63 (b) -3 (c) -0.3 (d) -2 (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 40\/3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 4, 9, 2114?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 48171422 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, y: 2, k: 2, q: 2}. What is prob of picking 2 k?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 128 - 128. Suppose -5*h + 3*c = -48, -2*c + k*c = -2*h + 20. Is h a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-216)\/3)\/(-2) - (7 - 6). Let t(l) = -30*l. Let r(v) = 5*v. Give u*r(j) + 6*t(j).\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 PM and 1:44 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 19b - 977?\nAnswer: -7dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - q)*(14*q + 36*q + 34*q)*((-4 + 1 + 5)*(-1 + 5 - 3) - 2 + 3 - 3 - 2 + 4 - 1 + 2 + 0 + 3)*(0 - 2 + 1).\nAnswer: 504*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 5*a - 7, 6*i + a + 8 = 4*i. Is 7 a factor of i\/6 - 142\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h**2 + 6*h + 10. Let v be 8\/(-2) + (-5 - -1) + 3. Let l be d(v). Let j = -21 - l. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448)*-2 + -1)**2 + 0)*5.\nAnswer: 160*sqrt(7) + 8965","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 10, 1, 2, -4 in ascending order.\nAnswer: -4, -3, 1, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 1 + 1)*(3 + 0 - 9) - 5 + 1 - 7)*(40 + 9*t - 40) to l*t + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/20 of a tonne?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rfnfanal. What is prob of sequence arna?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 16, 30, 48, 70, 96?\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 2*i - 29*i)*(3 + 2 - 2 + (-6 - 2 - 3)*(-5 + 3 + 1)).\nAnswer: -406*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + 8*l - 2. Let n be j(6). Is (-933)\/(-5) + 4\/n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 smaller than -19\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that v**5\/7 - 4*v**4\/7 - 57*v**3\/7 - 40*v**2\/7 + 100*v\/7 = 0.\nAnswer: -5, -2, 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 7120 = 4*t, 3*t = 5*h - 2*h - 7125. Suppose h = -2*k + 12*k. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -4*k**5 - 108*k**4 - 240*k**3 + 4400*k**2 = 0.\nAnswer: -22, -10, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - 12*h + 2. What is c(-13)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 95375 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 9. Calculate the smallest common multiple of 1 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 0)*(-55*z + 11*z + 665*z**2 - 664*z**2).\nAnswer: z**2 - 44*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 305488 is divided by 101.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, -0.3, -3492?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2*l = -22, -w - l = w - 10. Let p(s) = -s**2 + 13*s. Let n be p(w). Suppose -3*r + 210 = n. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8481617.\nAnswer: 109, 77813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.96 + -0.04. Let v = 33 - 28.1. Let r = i + v. Which is smaller: 4 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 2\/9, -0.01, 0.1, 2\/15, 223?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.2 + 4.8. Let o = 3 - l. What is the biggest value in 5, -2\/7, o?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.3952174 rounded to two decimal places?\nAnswer: 23.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + (-14 - (10 - 16)) + -8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -154 + 10*n**2 - 54*n - 52*n + 110*n wrt n?\nAnswer: 20*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -13 (b) -0.2 (c) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((22 - 9) + -24 + 11).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 738?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/((-8)\/20))\/((-1)\/14). Let i = w - -39. Suppose 3*h + 7 = i. Put 5, -2, h in descending order.\nAnswer: 5, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5 + -3*sqrt(2) + sqrt(200) + 0.\nAnswer: 9 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -950 + 2674. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of q**2*s**4 + 2301*q**2 - 286*q*s**3 + 3*q*s**2 + 53*s**4 wrt s.\nAnswer: 24*q**2*s - 1716*q + 1272*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4170495 and 8340990?\nAnswer: 8340990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 - -42. List the prime factors of 1 + 5 - l\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (21 - 15)\/((-4)\/(-2))*1. Let r be w\/(-42) - 1989\/182. What is the third smallest value in r, -0.5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + 22. Suppose -15 = 3*u, 448 - 1328 = -5*z + 5*u. Calculate the remainder when z is divided by a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*a**4 - 10*a**3 - 65*a**2 + 70*a + 120 = 0. What is a?\nAnswer: -3, -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15920 by 1990.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/2? (a) 38 (b) 3\/7 (c) 1 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 339, 1141, 2411, 4149, 6355, 9029?\n\"Answer: 234*i**2 + 100*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 3582333?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-750)\/28500 + 801\/39102?\nAnswer: -2\/343","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 k when two letters picked without replacement from {h: 4, k: 1, s: 2, i: 1, m: 2}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 856*h - 782*h - 1110 = 0 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 501993574 + -16794696919283\/33456. Let q = 5\/697 + d. What is the common denominator of q and 79\/6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-8 - (0 - -2))) + -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l - 67. Give b(38).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 66\/(-154) + (-2)\/28. Let w(l) = 2*l - 9. Let p be w(7). Which is the smallest value? (a) -3 (b) x (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -10485, -41910, -94283, -167604, -261873?\n\"Answer: -10474*i**2 - 3*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -9\/4, 1, -454, -5, -1\/3?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 817 and (9 + -15)*-2 + -6?\nAnswer: 4902","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*i - 19*i - 32*i)*(14*i**2 + 30*i**3 + 11*i**2 + i**2 - 5*i**2 + 6*i**3) as v*i**2 + z + l*i**4 + p*i**3 + r*i and give l.\nAnswer: -1368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0.5, -5, -0.5, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4504514 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 76772 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**4 + s**3 + s + 3. Let t(p) = 25*p**4 - 19*p**3 - 90*p**2 + 56*p + 12. Let q(a) = -4*c(a) - t(a). Find k such that q(k) = 0.\nAnswer: -2, -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -531 + 792. Suppose 8*q - 2997 + w = 0. Let x = q - 225. List the prime factors of x.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 0*y = 2*i - 30, 5 = -i. Let v = y + 192. What are the prime factors of v?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 2195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -82 - -116. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 2 = 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 10:41 AM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 74 divided by -4\nAnswer: -37\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 931*i**2 + 926?\nAnswer: 1862*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 - 1447?\nAnswer: -1437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5719896 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3718400 is divided by 84509.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + b + 5)*(-4*b + 4*b + 2*b) + (b - 5*b + 2*b + (-5*b + 2*b + 2*b)*(1 + 0 + 1))*(22 - 22 - b).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -9.7*-3\nAnswer: 29.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3 (b) -4.4 (c) 0.1 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(-4*q + 0*q + q + 7*q - 2*q - 2*q + (-5 + 4 + 3)*(2*q + 0*q + 0*q) + q - 5*q + 2*q - 3*q + q + 3*q).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and -15.348?\nAnswer: 10.348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ui when two letters picked without replacement from pdxdxixduuuxudpydp.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (154\/(-231))\/((-5)\/((-15)\/(-14)))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3*w)*(-1 + 0 + 0) + (2 - 5*w - 2)*(107 - 184 - 236).\nAnswer: 1562*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 452187 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11489 - 11490. What is the second biggest value in 4, 0, i, 1\/5, -2\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1863923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-3*((6*sqrt(10)\/sqrt(5) - (sqrt(32) + -1)) + -3))**2.\nAnswer: -72*sqrt(2) + 107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 51*l**2 + 285*l + 31. Calculate the remainder when 445 is divided by w(6).\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 189, 170, 141, 102, 53, -6?\n\"Answer: -5*r**2 - 4*r + 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a hour in seconds?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*s**4 + 19*s**3*t + 3*s**3*x**3 + 2*s*x**2 - 8*t*x**3 - 7*t*x + 2*x**3 wrt s?\nAnswer: -48*s**2 + 114*s*t + 18*s*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -194*j - 543. Determine m(-9).\nAnswer: 1203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*w + 24*w - 360 = 0 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 9:37 PM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 855030 less than -2?\nAnswer: -855032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**2 + 140 + 0*i**2 - i**2.\nAnswer: -i**2 + 140","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iwwi when four letters picked without replacement from wwiwwwiww.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 1304 = 4*x, 4*q = 3*x + 1404 + 1237. Let p = q - 619. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -4 + 4 + 2*f + 2 - 3. Let d be h(2). Put d, -2, 1 in decreasing order.\nAnswer: d, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -425437126*s - 94393292 wrt s?\nAnswer: -425437126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b + 4. Let x(m) = m**2 + m + 1. Suppose 0 = 106*o + 99 + 7. Calculate o*x(h) - v(h).\nAnswer: -h**2 - 3*h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 4555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2442123240 (base 5) to base 15\nAnswer: 79d9b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/4 - 1395\/(-36). Let b = k + -36. Find the first derivative of 3*c**3 + 12 + 7*c**b + 281*c**2 - 281*c**2 wrt c.\nAnswer: 30*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + -1 + -28 + 16 + 3 + 13.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*v - 3 - 390*v**2 + 464*v**3 - 423*v**5 - 466*v**3 - 7*v wrt v?\nAnswer: -25380*v**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -75.001 - -0.001. Let r = 75.0000051 + b. Round r to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - (3 + -4 + -4). Suppose -5*w = -x - 16. Solve -w*u = -7*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 8 = -4*l, 0 = -4*h + 5*l - 10*l + 12. Let f be (h - -2) + 3 + 1. What is the nearest to 2 in 0.5, -1\/3, f?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1206 + 546 = -129*c + 204 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most 2\/640237661?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 462.607km to meters.\nAnswer: 462607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -100111101011011110 (base 2) in base 8?\nAnswer: -475336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5385538 times 20\nAnswer: 107710760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 984\/17 + -4512\/85. Let z(g) be the first derivative of 0*g**4 + 23*g - 26 + 0*g**2 + 0*g**3 - m*g**5. Find the first derivative of z(y) wrt y.\nAnswer: -96*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3905 minus 0.3?\nAnswer: 3904.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j. Let q be 8\/52 + 54\/(-13). Let t(b) = 9*b + 4. Let y(r) = -4*r - 2. Let z(x) = -3*t(x) - 7*y(x). Determine q*v(i) - z(i).\nAnswer: 3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s - 2. Let q(l) = l. Let b(w) = d(w) - 4*q(w). Let x be b(1). Is x less than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1443?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 2*z - 32 = 5*t, 0 = -5*t - 3*z - 52. Let b = 17 + -25. Are b and t unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1621215 to the power of 1\/3, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 397567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -2 - (3375\/(-90))\/25)*-2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 65323a5 (base 12) to base 11\nAnswer: a941aa1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**5 - 32539*l**4 + 3001449*l**3 - 19675829*l**2 + 21668344*l + 44378160 = 0. Calculate l.\nAnswer: -32631, -1, 4, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**3 - 5*y**3 + 0*y**3 + (4*y - 3*y + 0*y)*(-y**2 + 4*y**2 - 2*y**2) + y**3 + 0*y**3 + 2*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -889*q - 4 = -3*s - 890*q, s - 6*q - 91 = -4*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -76741\/6 + 12790. Put 2\/1299, 1, 0.2, a, -3\/2 in ascending order.\nAnswer: -3\/2, a, 2\/1299, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 16) to base 6\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24319041 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15762283877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 25.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*l + 3*x + 8, -3*l + 4*x + 17 = 0. Let j = 9 + l. Let f = j + -6. Solve -f = d + 2*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31554, -53520, -75484, -97446, -119406, -141364, -163320?\nAnswer: -185274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36\/7*q**2 + 39\/7*q**3 + 18\/7*q**4 + 0 + 12\/7*q + 3\/7*q**5.\nAnswer: 3*q*(q + 1)**2*(q + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 27 = 5*o, 46 = 3*t + 2*o - 35. What is the highest common factor of 243 and t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -23*g - 3. What is the tens digit of f(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 5*t - 6. Let f be p(9). Suppose 15 - f = -g. Let b be g\/(-75) - 21\/(-5). Solve 4*z = 2*q + 5 + 11, -b*q = z - 13 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-92)\/(-345))\/((-16)\/(-10)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**5\/5 + 264*i**4\/5 + 536*i**3\/5 = 0. Calculate i.\nAnswer: -2, 0, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t. Let y be 2\/(-8) + 50\/8. Let l = y - 4. Let o(p) = -2*p**2 + 2*p**l + p**2. Give o(g(m)).\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -363789 (base 12) to base 15\nAnswer: -124da9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 3*h**2 + 2*h - 2. Let u be ((-3 - -2) + -3)\/(-2). Is r(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 666 by 222.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 6*m**3 - 2*m**2 + 7*m - 6. Let o be b(1). Put o, -5, 16 in descending order.\nAnswer: 16, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 9*u**2 - 5*u + 25. Let q(h) = 5*h**2 - 3*h + 12. Let z(m) = -7*q(m) + 4*y(m). Let b(i) = -i - 23. Let f be b(-15). List the prime factors of z(f).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 9 = 4*p, 138 = -3*p + 150 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -5, -2 in decreasing order.\nAnswer: 3, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7054589 is divided by 125967?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -1 + (8 - (-4 - -7))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2587.7 + -2588. Let p be 20\/144 + 1\/(-4). Sort p, r, -0.2 in decreasing order.\nAnswer: p, -0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from tttwwwwttttwww?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 1 + (-2 - -2). Let v(s) = -s**2 + 4*s - 4. Let g(b) = -2*b**2 + 7*b - 7. Let y(m) = -3*g(m) + 5*v(m). What is the units digit of y(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74826927503 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2135060 (base 7) to base 12\nAnswer: 1070b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -9.4. Let z = r - 0.3. Let q = 18.3 + -18.6. Which is the nearest to -1\/4? (a) q (b) z (c) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50262*s - 1222 = -50236*s for s.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 15*g**2 + 6. Let c(i) = -5*i**2 - 2. Calculate -8*c(v) - 3*d(v).\nAnswer: -5*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 3*l + 66, 6*o - o - 4*l = 82. Suppose 0 = -4*a + 16, -4*a = -5*h - 6*a + o. Solve 0 = -h*y - 3*y + 3*t - 22, y = 5*t for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 t, and 1 e when three letters picked without replacement from tetetcdtdezedet.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -16, -19, -8, 23, 80?\n\"Answer: i**3 + i**2 - 13*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -2\/11, -3, 4, -214, 1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*u + 5*q + 8 = 0, -165 + 231 = 63*u + q for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1772*x - 1808*x + 504 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1\/7 - 1008\/(-147) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/4 + 5*147 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 - 0.2. Let y = 0.1 - t. Let c be (6\/(-42))\/((-6)\/105). What is the nearest to y in c, 3, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 41992?\nAnswer: -41992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h**2 - 23*h. Let f be y(-9). Let i = 55 + f. Suppose 3*q = -2*w + 3*w - 72, -3*q = -2*w + 144. What is the remainder when w is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 5*c + 466 = 0. Suppose -2*s + 0*s + 5*j + 223 = 0, -2*s + c = 5*j. List the prime factors of s.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((42\/(-49))\/((-184)\/(-805)))*-25*1\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 123926, 247856, 371786, 495716?\n\"Answer: 123930*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -7489401 divided by -59\nAnswer: 126939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/(-6)*6\/4. Suppose -3*d + n*d - 1 = 0. Let y be (d - 1\/1)\/(-2). Solve -2*k + 0*k - w - 13 = y, 0 = 2*k - w + 7 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.222 times -0.2?\nAnswer: 0.0444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = 12*f - 220 + 44 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0\/(-2))\/(9\/3). Suppose m*h = 6*h - 1278. Suppose 0*l = -3*c + 5*l + h, c - 5*l - 71 = 0. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 90 = 2*m, 7*w = 8*w - 2*m - 49. Suppose -2*t = -5*h + 390, 4*h + 2*t = t + 325. What is the remainder when h is divided by w?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t + 4*x + 7, -4*x + 20 = 24 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1492604 to 2 decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -14542944?\nAnswer: 14542943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.7 - 17.\nAnswer: -8.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 6:51 PM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of 0*y - 7*y**2 + 1\/6*y**3 + 1\/12*y**4 + 0 + 1\/3*y**5. Let t be k(-1). Solve 4*a = 7 - t for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.78 + 0.12. Let l = t - -0.58. Round l to 1 dp.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 10}. What is prob of sequence mm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -1 + (-2 + 3 - 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 59440442773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 43294.18t in micrograms?\nAnswer: 43294180000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 5*p - 20 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5 + sqrt(26)\/sqrt(2)).\nAnswer: -3*sqrt(13) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.790392kg in grams?\nAnswer: 790.392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*r**2 + 6*r - 6*r)*(-2*r + 0*r + 4*r) + 917*r**3 - 1299 + 1299 to the form s*r + k*r**3 + y*r**2 + c and give k.\nAnswer: 931","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2303 and 126.\nAnswer: 41454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 25691858119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 377619?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004446233 rounded to six decimal places?\nAnswer: 0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-four thirds of a year in months?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n + 9. What is the units digit of q(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 267308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73 + 39 + 13*u**3 + 34.\nAnswer: 13*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 30*u**2 + 63*u - 30. Let w be c(-32). Suppose -w*p - 1133 = -3*k, 0*k = -4*k + 3*p + 1510. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28321?\nAnswer: 127, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 29\/2 of a microsecond?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of -b**8\/21 + 6*b**7\/35 - b**6\/5 + b**5\/15 - 3*b**2. Factor k(y).\nAnswer: -4*y**2*(y - 1)**2*(4*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 + 0.1. Let t = l - 1. Let v be (72\/162)\/(-6 - (-8)\/(-18)*-17). Which is the nearest to v? (a) 3 (b) 1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (13 + -7)*(-24)\/(-36). Solve n - 66*z + 71*z = 5, -p*z + 4 = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -119, -106, -67, 10, 137, 326?\n\"Answer: 2*t**3 + t**2 - 4*t - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2026, -2025, -2024, -2023?\nAnswer: -2022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -187.44 - 301.56. Which is smaller: 0.02 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 3*u**2 - 2*u + 4. Let f be y(3). Let h = 0.7 + 0.3. Let j = h + -2. Which is the nearest to j? (a) f (b) -4 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z + 7. Let w be u(-3). Let s(b) = -3*b**2 - 5*b + 2. Let l(n) = -n**2 - n + 1. Let t(m) = w*l(m) - s(m). Determine t(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h + 2*h + h)*(1 + 4 - 4) - 6*h - 2*h + 0*h + 1 - 1 + 2*h + (-3*h - h + 2*h)*(1 + 0 - 2) + 0 + 0 - 3*h - h - 2*h + 2*h to d + t*h and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -4*h - 3*c + 2595, -5*c = -h + 865. List the prime factors of h.\nAnswer: 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -53?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1026 in -167, 0, 1\/41, -1\/6, -5\/4?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -2*v. Let z be (0 + 4)\/(-4) - 118\/(-122). Which is smaller: z or v?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 930343823 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 2*v - 13, -2*s - 4*v + 2 = -0. Let x = 2 + s. What is the third derivative of -2*u**5 + 4*u**5 - 4*u**x - 2*u**2 + 0*u**5 wrt u?\nAnswer: -120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 6 = -m - 3, 0 = 9*s + 3*m - 21 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/243210 and 29\/389136.\nAnswer: 1945680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 347.82 + -347.6. Put -27, 5, 1, r in decreasing order.\nAnswer: 5, 1, r, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i**2 - 16*i - 8. Let w(m) = -m**2 - 6*m - 3. Let h = 57 - 65. Let j(r) = h*w(r) + 3*q(r). Let c(f) = -30*f**2. Determine c(j(s)).\nAnswer: -30*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r**3 - 15*r**2 + 2*r + 42. Let v(s) = -3*s**3 - 15*s**2 + s + 43. Let j(i) = 6*l(i) - 7*v(i). Is j(12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(13\/4)*d\/(d**13*d))\/(((d\/(d\/d**(-30))*d)\/d)\/d*d**(12\/5)\/d) assuming d is positive.\nAnswer: d**(397\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/(-18) + 80\/6. Suppose 3*g - 29 = -p. Let t(q) be the first derivative of -q**4\/4 + 2*q**3 - q**2\/2 - 4*q + 1. What is t(g)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m + 231 = -33*m - 2111 - 414 for m.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) + 1)*-4 + -4)**2.\nAnswer: 256*sqrt(11) + 2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a century in years?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 11950829.1ns?\nAnswer: 0.00000013831978125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/572 and 59\/52767.\nAnswer: 211068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -2 (c) 1\/9 (d) -2\/9 (e) 8\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -5, -5*r + 5 = -c + 3*c. Let w = -14 + 14.5. Sort 0, c, w.\nAnswer: 0, w, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -248 + -1780a1?\nAnswer: -178339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*o - 2. Suppose o*h - 309 = 5*u, 4*h - u = u + 578. What are the prime factors of h?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/15 of a decade?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27996*b**2*j**4 + 136215*b**2 - 6*b*j**5 + 50*j wrt j?\nAnswer: -335952*b**2*j**2 - 120*b*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59379.99960841 + -59380. Round l to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 68, 42, 5 in descending order.\nAnswer: 68, 42, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/((-126)\/4))\/(188\/282). What is the smallest value in 0, -0.16, -1\/2, 2\/13, w?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*c - 120 + 159. Suppose -c*x + 22*x = 38. Factor 0 - 2\/5*w**x - 4\/5*w.\nAnswer: -2*w*(w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -10*f**3 + 18*f**2 - 14*f + 18. Let k(b) = 7*b**3 - 12*b**2 + 9*b - 12. Let c(v) = 7*k(v) + 5*t(v). Let x = -4 + 9. Give c(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.11, 2\/3, -2\/3, 0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*w - 73 = 143. Let m(v) = 9*v**2 - 4*v - 1. Let f be m(1). Suppose 295 + 1 = f*y. Calculate the least common multiple of w and y.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7.7 and -10.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 17 - (4 + 1 + -2). Let p be l\/(-6)*2442\/4. Let j = 1390 + p. Find the common denominator of 109\/12 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122959 a multiple of 199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/7 of a week in hours?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*c - 207*c = 2125 + 395 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -16*o + 198. Let u be q(12). Solve w + 2 = u for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 191.3958 seconds to hours.\nAnswer: 0.0531655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**4 - 2*v + 2*v + (3*v - 5*v + 0*v)*(3*v**3 - 3*v**3 - 2*v**3) + (3*v - 5*v + 4*v)*(4*v**3 + 2*v - 2*v) - 4*v**4 + 3*v**4 + 2*v**4.\nAnswer: 15*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46140 by 144.\nAnswer: -3845\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4261793 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 8*d**2 - 2*d**2 + 6*d**2. Let v(c) be the first derivative of c**5\/20 + 29*c**2 + 25. Let a(o) be the second derivative of v(o). Calculate a(i(y)).\nAnswer: 432*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-1*sqrt(1694) - sqrt(1694)) + (sqrt(14) - sqrt(224))*-6 + sqrt(14))\/(4*(sqrt(288)*-2 + sqrt(288))).\nAnswer: -sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1465\/1944?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1933, -2068, -2179, -2254, -2281, -2248, -2143?\nAnswer: -1954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -c**4\/12 + 4*c**3\/3 + 5*c**2 + 6*c. Is 17 a factor of s(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 1)*(18*n + 51*n + 8*n).\nAnswer: 231*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 37\/2 of a kilogram?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 822706?\nAnswer: 822709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 16 - 16 + 2*j - 22*j**2. Let p(b) = 22*b + 134. Let t be p(-6). Let y(m) = -6 - t*m - 5 + 11. Give y(v(a)).\nAnswer: 44*a**2 - 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 15*k + 22. Calculate q(-14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 1.97, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 18 + 12 - 61 - 9717*p + 23. Let x be c(6). Is (-2)\/(-6) - x\/21 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 549696?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 156 = 7*b, 12 = -201695*c + 201694*c + b - 12 for c.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -16*d**2. Let b(w) = -3344*w - 1336. What is b(n(z))?\nAnswer: 53504*z**2 - 1336","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 5*p - 26 = -7, 4*y - 28 = -4*p. Suppose y = o + 1. Suppose 4*s - 2*j - 37 = -o*j, -5*s = 4*j - 47. List the prime factors of s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -253, -250, -247?\nAnswer: -244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 113 = 3*c + 2*u, 3*c + 3*u - 345 = 0. What is the remainder when c is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71814 is divided by 3416.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 88589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 2 and 76 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 32*y + 67. Let f be n(-30). Let g be f - (-51)\/(-6) - (-3)\/4. What is the third smallest value in 11, g, 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 + 2*k - 3)*(0 - 1 + 3) + 2 - k - 2)*(0*k**2 + 5*k**2 - 4*k**2) to the form a*k**3 + b*k**2 + q*k + y and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -p - 16. Let v = p + -4. Solve 3*x = v*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -422*g + 9808 = -88096. What is the highest common divisor of 1344 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (0 + -3*(-3 + (sqrt(1053)*2 - sqrt(1053))) + -3 + 5)*4)**2.\nAnswer: -10368*sqrt(13) + 153936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*q - 5*q**2 + 10*q - 30 + 30.\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13.15 - -560.85. Let t = d + -423.5. What is t rounded to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 - 16*n - 48. Suppose j - 25 = 2*y + y, 3*j - 47 = 5*y. Let i be o(y). Solve 0 = 4*v - d - i, d - 4*d = 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69628815 to the power of 1\/2, to the nearest integer?\nAnswer: 8344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.218768 decades in months?\nAnswer: 26.25216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qhq. Give prob of sequence qh.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 + 3\/((-12)\/(-200)). Let q = z + -40. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*k + 5321 = 1310. Is k a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23860, 23865, 23872, 23881?\nAnswer: 23892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -104? (a) 0 (b) -103\/11 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*u + 5*z - 835 = 68*u, -2*z = -4*u - 682. Which is greater: u or -184?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1094273911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -4*z. Let q(y) be the first derivative of 5*y**2\/2 + 35. Give -4*j(a) - 3*q(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k + 3*y + 17, -4*y = 19389*k - 19394*k + 15 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -127, -260, -405, -568, -755?\n\"Answer: -b**3 - 126*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3*(5 + (0 + sqrt(475))**2*5).\nAnswer: 7137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 14) to base 9\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of y**3\/3 + y**2 - 2*y + 2. Suppose 8*s = -6*s + 42. What is the remainder when 49 is divided by j(s)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of 1\/15*p**6 + 0 + 0*p + 0*p**4 - 2\/105*p**7 + 12*p**2 - 1\/15*p**5 + 0*p**3. Factor m(s).\nAnswer: -4*s**2*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0411 * -0.3\nAnswer: 0.01233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6940800 rounded to the nearest ten thousand?\nAnswer: -6940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h + 1 = -51. Let p be 2*2\/h + 0 + 3. Factor 0*b**p + 1\/3*b**4 + 0 - 2\/3*b**3 + 0*b.\nAnswer: b**3*(b - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -90, 73 in decreasing order.\nAnswer: 73, 5, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173*i + 177*i = -r - 40, -r + 5 = -i. What is the smallest value in -3\/5, 2\/19, -0.1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 1\/40, 3, -1, -21?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/47896488 and 25\/138.\nAnswer: 47896488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g\/(g**(-2\/9)*g)*(g*(g\/(g*g**8*g))\/g)\/g*g**6*g**(-2\/5))**33)**(1\/15) assuming g is positive.\nAnswer: g**(-1078\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 251999 or 251998?\nAnswer: 251998","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.28? (a) -3\/7 (b) -5 (c) 3 (d) 0.2 (e) 4 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 296, 390, 498, 620, 756, 906, 1070?\n\"Answer: 7*y**2 + 73*y + 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -252, -471, -690?\nAnswer: -909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 8*h - 14. Let v be n(10). Suppose -v*y + 4*y = -8. Let c be ((-7)\/6)\/((-2)\/y). Is 1 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/(0 + 1) + 0. Let z(u) = u**2 + 11*u + 15. Let y be z(h). Solve -y*w + 6*w + 15 = 5*n, -4*n + 6 = -2*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.66 - -1.04. Let p = -8.84 + 0.22. Let u = i - p. Which is smaller: u or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - -4. Suppose 57 = 4*a - b. Calculate the remainder when (-1)\/(-2) - ((-855)\/6)\/5 is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hrhp when four letters picked without replacement from rytyyhptytrttttrhr.\nAnswer: 1\/9180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -821, -1637, -2457, -3281, -4109, -4941?\n\"Answer: -2*i**2 - 810*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 46615067 to the power of 1\/4, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 67, 60, 47, 28, 3, -28?\n\"Answer: -3*l**2 + 2*l + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*i + 2*i - 311530*i**2 + 311519*i**2 - 46 as y*i**2 + p*i + l and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 + -10. Suppose x - 5*a = -x + b, 4*x + 5*a + 7 = 0. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 - 10*q + 19. Let f be l(8). Suppose 146 = 3*j + 4*k, f*j - k = 3*k + 154. What is the remainder when j 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 39050349.\nAnswer: 3, 13, 1001291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-7)\/(-70) - (-1 + 1769\/(-10))?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**3)**(2\/73)*(r\/(r*r**(1\/2)))**(-1\/7) assuming r is positive.\nAnswer: r**(185\/1022)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1096, 4, -11, 1 in increasing order.\nAnswer: -11, 1, 4, 1096","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(1100) + 3 + sqrt(1100) + -2 + -4 + sqrt(1100) + sqrt(1100) + (sqrt(1100)*1)**2.\nAnswer: 40*sqrt(11) + 1096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(99)\/(sqrt(9)*2))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 1\/(-3) + (-362)\/(-6). Does 4 divide 4*d\/8*48\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -43, 304, 20 in descending order.\nAnswer: 304, 20, 1, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*n + 20 + 9 = 0, -3*n = 3*t - 42. Let k = t + -15. Solve j = -x, j = k*x - x - 8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2699812 is divided by 2833.\nAnswer: 2796","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-25))\/((-30)\/200).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 207.51, -2, 4, -2\/17, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/15*5\/2. Suppose d*x - 32 = 8. Calculate the lowest common multiple of 2 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.3 (b) 2\/23 (c) 4\/7 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 75 = -v - 3*a, 0 = 4*v - 5*a + 103. What is the units digit of ((-22)\/8)\/((-1)\/v)*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -398 + 402. Let r(x) = -x**3 + 3*x + 3. Let t be r(-2). Suppose -t*k + s*k = -118. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1647651 (base 15) in base 9?\nAnswer: 33382124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c + 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52509482 is divided by 965?\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -6 - (-6 - -1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k**2 + 6*k + 5225. Let r(z) = -2*z**2 + 2*z + 2613. Let c(u) = 4*l(u) - 7*r(u). Is c(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111011 - -1110001000101?\nAnswer: 1110010000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 5*b - 413 + 398, -2*b - 5*l - 21 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1433472 to the nearest integer?\nAnswer: 1197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -68*x**4\/3 - 320*x**3 - 4532*x**2\/3 - 2440*x - 800\/3 = 0.\nAnswer: -5, -4, -2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/13, 43\/4, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 103219116 divided by -1228799\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 7:58 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 768 = 11*q. Let d = q - -1213. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(720) + 1 + sqrt(720))**2*-1.\nAnswer: -2885 - 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3505 (base 13) in base 12?\nAnswer: 4381","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4 + 5*s**3.\nAnswer: -s**3*(s - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 19, z: 1}. Give prob of sequence dz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*t**2*u**2 + 3*t**2 - 4*t*u - 4356*t - 8619*u**2 - 352 wrt t.\nAnswer: -6*t*u**2 + 6*t - 4*u - 4356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -824 and -846 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -6*b - 19. Calculate m(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and 1090.\nAnswer: 1092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 7:12 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2\/5 - 18989658*i\/5 - 30050592579747\/5.\nAnswer: -3*(i + 3164943)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*c - 19 - 26 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-10)\/(-2))\/((-59)\/(295\/(-30)))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -3. Solve -j*o + 1 = 5 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/(-32) + 2\/(-8). Let h(v) = 2*v - 10. Let p be h(5). Do t and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4*d. Let i(l) = -13*l. Let y(k) = -4*i(k) - 14*o(k). Let a(n) = -4*n. Determine y(a(m)).\nAnswer: 16*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x**2 - 2*x - 27423. Let d(a) = -118*a. Give m(d(v)).\nAnswer: 41772*v**2 + 236*v - 27423","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -449*d - 16. Let r(p) = 270*p + 9. Let q(m) = -5*r(m) - 3*t(m). Let y = -2 + 5. Give q(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14462?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -2*q + 0 + 3\/2*q**2 + 1\/6*q**3. Let m be s(7). Calculate the greatest common divisor of m and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*o - 82*o - 5*p = 5, -2 = -4*o + 2*p for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -7 + 0*g - g + 3. Let q be r(-5). Let f be 2\/(-6) + (-10)\/(-42). Which is bigger: f or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1630 - 445. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 277 + -274. What is the fourth smallest value in c, -27, 1\/5, -4\/9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1257 = 5*a + 98. Let c = -73 - a. What is the highest common factor of 18 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -3 - 2*o**2 + 1 - 6*o - 3*o**2 - o**3 + o**2. Is z(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8541 and 208.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -3*m**3\/2 + 879*m**2\/4 - 8103*m + 15987\/4 = 0?\nAnswer: 1\/2, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 5*z + 3 = 10, -22 = -2*t - 2*z. Suppose 26*u = t*u + 840. Calculate the greatest common divisor of u and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 9 = 7*t + 14*t, -16 = f + 2*f + t - 7 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 305645850?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.8481 + 9.34801. Let j = f - 0.5. Round j to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 7}. Give prob of sequence uu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 3*g = 0. Let y = g - 24. Let i = y - -48. Is 12 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 10*s**2 - 29*s + 2. Determine g(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*(-2)\/24*3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 a factor of 131490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 24749, 25252, 26117, 27350, 28957, 30944, 33317, 36082?\n\"Answer: h**3 + 175*h**2 - 29*h + 24602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/12 + 8)*18. Calculate the highest common divisor of l and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -n**2\/2 + 3*n + 4. Let z be b(-1). Suppose z*t - 35 = -f + 2*t, -34 = -f - t. What is the remainder when f is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 25*n**2 + 2. Let l(w) = -2*w**3 - 49*w**2 - 3. Determine 4*l(j) + 7*r(j).\nAnswer: -j**3 - 21*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3*(-40)\/15)\/(2\/100). Let v = o - -397. Let z(p) = -p**2 + 2*p**2 - 2*p - 2*p**2. Determine z(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -167.9616 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2860480, -2860479, -2860478, -2860477, -2860476?\n\"Answer: w - 2860481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*u = 4*a + 98*u - 56, 40 = -a - 5*u. Calculate the remainder when 1096 is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2643 + 2637. What is the nearest to z in 3, 1.05, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9808264 a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*b**2 + 11*b**2 + 21*b**2 + 27*b**2.\nAnswer: 22*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/3 + -5 + 3. Let y be (-5)\/3 + (-4)\/(-6). Is b smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*n = 37*n - 14. Suppose -d - 22 = -n. Let k be ((-4)\/(-5) + d)\/(1\/(-1750)). What is k rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -37809, -4, -64.\nAnswer: -37809, -64, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**3 + 0*i**3 - 2*i**5 + i**3 + (4*i - 2*i + 0*i)*(2*i**4 - 4*i**4 + i**4).\nAnswer: -4*i**5 + 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 5 = -3*d, -2*d = 2*x + 2. Suppose x*v + 3*v = 111. Calculate the remainder when v is divided by (-178)\/(-14) - (-4)\/14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8686*s**3 - 3216879 + 3216879 + (s**2 + 4*s**2 - 6*s**2)*(s + 0*s - 3*s).\nAnswer: -8684*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177178 is divided by 59041?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y**5\/2 + 1346*y**4 - 47631*y**3\/2 - 55814*y**2 + 767050*y - 296400 = 0.\nAnswer: -6, 2\/5, 5, 19, 520","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -447, -899, -1351, -1803?\nAnswer: -2255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 262 = 116. What are the prime factors of f + -3 + (-2)\/(-2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26165, -26210, -26241, -26252, -26237?\nAnswer: -26190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.98 + -0.98. Let v = 64 + -255\/4. Which is the closest to v? (a) -0.5 (b) y (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -16 (b) 0.3 (c) 97 (d) 1\/78\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r + 13. Let c be l(-10). Suppose 0 = c*u - 2*u. Solve 4*t + 0*t = u for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 4:21 PM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 211408*o - 11425. Is c(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 121968 and 108612?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1503c - -1?\nAnswer: 1503d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 116 = -h. Is h not equal to 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1*sqrt(68) + -5 + (1*(sqrt(68) - sqrt(68)*-2))**2 + ((-2 + sqrt(68))*2 - (sqrt(68) - ((sqrt(68)*-2 - sqrt(68)) + sqrt(68))*-1))).\nAnswer: 24*sqrt(17) + 1809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -25 - 7*r - 13*r - 3*r. What are the prime factors of v(-6)?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -u**4\/24 - 11*u**3\/6 + u**2 + 10. Let x(g) be the second derivative of l(g). Let w be 0*(2\/(-2) + 0). Give x(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -205 - -204.62. Let i = -0.069 + 5.069. Which is the biggest value? (a) i (b) -3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -805, 11, 0.3, 1\/7, -4, -0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 12*i - 3. Let m(p) = -p + 2. Let t be m(-2). Let h be f(t). What is the greatest common factor of h and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2 - 67*b**2 + 28*b**2 + 27*b**2. Let k(j) = -j**2. What is k(m(q))?\nAnswer: -144*q**4 - 48*q**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 20 + 0 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -1, -2\/15, 27, -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = -6*i + 278. Let z be (12\/(-10))\/(i\/(-600)). Let b = z - 18. Solve -1 = b*o - o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -7. Let i = -161.1 - -165.1. Let s = 3 + -3.1. What is the nearest to s in 0.3, b, i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/60*-1*(-1)\/2. Is -1 less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**4 + h**4 - 2*h**4 + (-1 + 3 - 1)*(h**4 + 0 + 0) + (h + 1 - 1)*(3*h**3 + 3*h**3 - 5*h**3).\nAnswer: 3*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of (-2)\/(-16) + (3198\/16 - -12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a hour in seconds?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 4*u**2 - 2. Let q = 11 - 7. Let y be 40\/q*4\/5. Suppose 3*g + x = y, -x + 5 = 2*g + 1. What is a(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 3*g - 3. Let r be f(4). Suppose -19*i - 8 = -2*w - 20*i, 5*w - 23 = -4*i. Solve 3*h - 2 - r = -w*k, h + 7 = k for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -3*n + 307, 2*n - 3*w - 216 = -0*w. Is n a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 5*m**2 + 4*m - 1. Let j(n) = n**3 - n**2 + 8. Let t be j(0). Let l be (0 - (-392)\/35) + (-2)\/10. Let f = t - l. Give k(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/2*(-1)\/(-3). Let d = 3371.7 - 3371.7. What is the fourth biggest value in -0.3, d, h, -2\/11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c - 33 = -47. Solve 12 - 2 = c*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -566, -556, -550, -548, -550?\n\"Answer: -2*h**2 + 16*h - 580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -17*h + 184. Let w = 15 + -8. Calculate the lowest common multiple of w and h*8\/(-16) + 11\/1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140114040 (base 6) in base 8?\nAnswer: 12556750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 86946214 to the nearest integer?\nAnswer: 9324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22243, -22222, -22181, -22114, -22015, -21878?\nAnswer: -21697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2750*n - 1427*n + 48951 for n.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of g*o**3 - 4*g*o + 119981962*g + 725440*o**2 wrt o?\nAnswer: 3*g*o**2 - 4*g + 1450880*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) 134 (c) 7 (d) 34\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 12*r**2 + 4*r - 12. Determine u(12).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.1 and 0.2910106?\nAnswer: 0.32011166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 u when four letters picked without replacement from muuuuumummukmeuuu.\nAnswer: 45\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 4*t**2 + 4*t. Let n be r(3). Let k = 6300 - 6284. Suppose -4*w + 4*f - k = 0, 0 = 3*w - 2*w - n*f + 8. Is w at least as big as -42\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of 2*w**3\/27 + 37*w**2\/9 + 8*w + 18. Factor v(s).\nAnswer: 2*(s + 1)*(s + 36)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3633245 microseconds in seconds?\nAnswer: 0.0000003633245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 798 = -5*g, 4*p = -3*g + 5*p + 478. What is the tens digit of (g\/(-5))\/((-9)\/45)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*a**3*i**2 + 7*a**3*i + 24959*a**3 + 5*a**2*i**2 - a*i**2 - 34*i**2 + 3458 wrt a?\nAnswer: 168*i**2 + 42*i + 149754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8209 - 1986575\/242. Is -1 < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 12*o**2 - 27*o + 2. Suppose -16*v - 63 = -9*v. Let y be k(v). Solve -5*u - 16 = -4*u + 3*l, 2*l = -y*u - 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + (6 + -5 - -3).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 31 = n + n, 10 = -5*n. Let z = k - 9. Suppose -5*l = -l. Solve q - 5*f - 15 = z, -f = -l + 3 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1184.317 millilitres in litres?\nAnswer: 1.184317","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-10)\/24)\/(445\/(-5340)). Let q = 2 + -5. Which is the fourth smallest value? (a) -4 (b) y (c) 1\/3 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2593863076?\nAnswer: 2, 7, 419, 221093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 101872399 to the nearest integer?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (78\/(-7839)*6)\/2.\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5 - 4) + 0 + 13 + -12. Is 44\/23 at least l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7*((-228)\/(-48))\/19\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**3\/11 - 41*k**2\/11 + 94*k\/11 + 344\/11 = 0. What is k?\nAnswer: -43, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-4 - (3 - 4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6*586.\nAnswer: -351.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 78, 8292, -9.\nAnswer: -9, -4, 78, 8292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -18 (b) 55 (c) 1\/4 (d) -2\/1611 (e) 1 (f) -3\/5 (g) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 5*t + 20. Let w = -7 + 4. Is t equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((2 + sqrt(5))*-2*-6)**2 - ((sqrt(1440)*2)\/(sqrt(128)*-1))**2.\nAnswer: 3843 + 1728*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 12:53 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11587*x - 11629*x + 98 = -154 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 0.2 (b) 7\/275 (c) -2\/3 (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2392)\/(-24) + (-1)\/(-3). Calculate the highest common divisor of f and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -154, 1\/8, 10.4, 4 in descending order.\nAnswer: 10.4, 4, 1\/8, -154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/22 + 0 + (-499204326)\/(-4994) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 79 (base 12) to base 10\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12*(-4 - -3))\/((-9)\/9). Let h be (-7 + (-2)\/(-1))*-2. Find the first derivative of -h - 3*m**4 - 4*m**4 + a*m**4 wrt m.\nAnswer: 20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 68055*d**2*u**2*w**2 + d**2*u**2 + 17*d**2 + 4*d*u**2*w**2 + 6*d*u**2*w + 4*d*u*w**2 + 5*u**2*w**2 - 2*u*w**2 + 56*w**2 wrt d?\nAnswer: 136110*u**2*w**2 + 2*u**2 + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14298811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(14)\/sqrt(7) - sqrt(196)\/sqrt(2).\nAnswer: -5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -22, -58, -130, -250?\nAnswer: -430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1221, 1196, 1171, 1146, 1121, 1096?\n\"Answer: -25*a + 1246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 47.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -2\/5, 16, -2\/11, -3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 913037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -209 + 209 - 657944*g + 657414*g.\nAnswer: -530*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 5*j + 338 = 0, -f - j + 95 = -5*j. Suppose 925 = 2*s + f. Suppose -c - s = -2*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -221*c*s**2*u*y**2 + 8622*c*s**2*u - 3977*c*s**2*y**2 - 4*c*s**2 + 2*c - 42*s**2*u*y wrt y.\nAnswer: -442*c*s**2*u - 7954*c*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 749182*j**4 - 232850 wrt j?\nAnswer: 2996728*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -107.8 and 6268620.\nAnswer: 6268512.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeexxeeexxeexexeee. What is prob of sequence xxx?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of -3*o + 1\/3*o**3 + 3 - o**2. Does 6 divide f(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 8*x + 89. Let h be a(-14). Suppose -h*c + 1727 = -i - 1250, -4*c = 4*i - 2396. What are the prime factors of c?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, l: 3, v: 4, n: 2}. Give prob of picking 3 v.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 14*c - 21. Let f be s(12). Suppose -f*k + 98 = -140*k. What is the greatest common divisor of k and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -87 - -90. Let z = 18.37 + -0.37. Which is the closest to z? (a) 0.2 (b) -2\/17 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxlxxxxxxxxlxxpplppx. What is prob of sequence ppx?\nAnswer: 13\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/7743 and 62\/5079141.\nAnswer: 147295089","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -486.8 + 48.8. Let w = -256 - s. Let r = w + -181.07. Round r to one dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/126000 and 43\/280?\nAnswer: 126000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 78*j + 26. Let r be f(10). Suppose 3*t - 1324 = -5*c, 0*c = 3*c - 4*t - r. Is c a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z**2 - 7 - 1 + 7*z**2 - 3.\nAnswer: 2*z**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*(-5 + 1 + 13). Suppose -28 = -5*w + y, 4*w + y + 10 = n. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304 = 11*g + 260 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 1, -8\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b. Let q(i) = -267*i**2. Give q(g(c)).\nAnswer: -1068*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 27 = -64*k + 65*k, 5*k - 3*d + 47 = 0 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -87.3 + 10.3. Let c = -3315218037.00000036 - -3315217960. Let j = u - c. Round j to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23152 (base 10) in base 16?\nAnswer: -5a70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 210203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 306*r**4 - 2*r - 479*r**4 + 178*r**4 + 3*r**2 + 2 - 16*r**3 to the form q + p*r**4 + n*r**3 + c*r**2 + m*r and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -5*t**3 + 200*t**2 - 740*t + 720 = 0.\nAnswer: 2, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o - 5*o = 14 - 4, -2*r - 5*o + 29 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 * -589034.\nAnswer: -23561.36","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 135989 and 9289.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -271 - 256 + 527 - 2*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 x when three letters picked without replacement from rrrrrrrrrrrxxrrrxr?\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 11 + 19 = 0. Let b = 27 + -54. Let u be (-10)\/45 - 465\/b. Let r(a) = -3*a**2 + 17*a - 17. Let x(i) = -i**2 + 6*i - 6. What is d*r(n) + u*x(n)?\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -9*n**2 - 15*n. Let v(a) = 13*a**2 + 24*a. Let g be (-2 - 3 - -5) + -5. Let b(z) = g*v(z) - 8*s(z). Let k(p) = -3*p - 3*p + 4*p. Determine k(b(j)).\nAnswer: -14*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-2\/3))**(-38)\/((m*m**(-1\/4))\/(m*(m*m**(-5))\/m))*(m\/m**(-2\/7))**(-47)*(m\/m**(-1\/3))**(-44) assuming m is positive.\nAnswer: m**(-11467\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/2)\/((-104)\/(146016\/(-18)))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34030 and 112094.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -5604, -1619 in descending order.\nAnswer: 19, -1619, -5604","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2061, -4125, -6189?\nAnswer: -8253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00055054 rounded to six decimal places?\nAnswer: -0.000551","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/2705 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 172517364 to the power of 1\/2, to the nearest integer?\nAnswer: 13135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/(-3))\/(-2))\/(98\/(-84))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*d = 39*d - 3350 for d.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Solve 244929*d + 12 = 244925*d - 5*h, 0 = -5*d + 5*h - 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 911415?\nAnswer: 3, 5, 60761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -106070000 rounded to the nearest 1000000?\nAnswer: -106000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 6*u + 2. Let t be y(6). Let o = 29 - t. Suppose 0 = -4*l - o + 75. What is the remainder when 35 is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 2 - 0. Let i be (-2)\/k - 10\/(-5). Which is the second smallest value? (a) i (b) -5 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22\/5 >= -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.050336 times 76?\nAnswer: 3.825536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/219, -0.5, 0.5?\nAnswer: -1\/219","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2505 = 13*o. Round o to the nearest 10.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 0*z + 2*o + 8 = 0, 5*o = -3*z + 2 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 7*h**2 + 8*h + 24. Is r(-9) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 239 divided by 1985?\nAnswer: 239\/1985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 18*a**2 + 165*a + 332. Is h(-38) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -89 + 79.4. Let g = z + 9. Which is the smallest value? (a) g (b) 1\/2 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.8878 to 0 dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**3*v**(-2)*v)\/(v**(-2\/25)*v**(1\/11)) assuming v is positive.\nAnswer: v**(-828\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-2))\/((-2)\/(32\/30))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1085 - (-3)\/1)\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18341, 36784, 55245, 73730, 92245, 110796, 129389?\nAnswer: 148030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**3 + 10*c + 54*c - 20*c + 166*c + 130*c.\nAnswer: -c**3 + 340*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29467 + -29455. Which is the nearest to -2\/9? (a) o (b) 51 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + r**2 - r - 1. Let z be g(-2). Let n be (-13)\/z + (-9)\/27. Solve -3 = n*t + 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*-2*(-4)\/64. Which is the closest to z? (a) 2 (b) 0.4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l**2 - 11*l + 11. Let x(u) = -u**2 + 2*u + 56. Let o be x(-6). Let a be s(o). Solve -a*y = -111*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 544*w - 20239 = -2554*w + 820*w + 177947 for w.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3*b - 503 = 0, -5*w - 115 = 4*b - 705. What is the highest common divisor of 18 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4558)\/(-27348)*(12\/(-9)*3)\/(6\/3)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 179476.83 seconds to days.\nAnswer: 2.077278125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000007168 rounded to 7 decimal places?\nAnswer: 0.0000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/(-21) + 17\/238. Let d be (-1)\/(-4) + 2\/8. Factor -k*h - d*h**3 + h**2 + 0.\nAnswer: -h*(h - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**5 - 30*u**4 - 72*u**3 - 6*u**2 + 69*u + 36.\nAnswer: 3*(u - 12)*(u - 1)*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + ((-18)\/6 - 4\/(-2)). Sort 2, -1, x, 0.\nAnswer: x, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -1\/4*q**2 + 1\/12*q**3 + 1\/4*q + 2. Find p such that y(p) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 11:28 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 10 = 3*h, 0 = -4*h + h - 5*y + 38. Suppose 10 = -s + h*s. Let g be ((-1)\/(-1))\/(s\/4). Solve -2*o - 6 = -g for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1617975 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -42, 0.23, 1\/6 in descending order.\nAnswer: 0.23, 1\/6, -1, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 173387831 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-2 + -2 - -13) + -32 + 14\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2260 = 4*g + y, -4*y = -2*g + y + 1130. Calculate the remainder when g is divided by 63.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35527, -35541, -35571, -35623, -35703, -35817?\nAnswer: -35971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/27)\/((-20)\/(-6)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 divided by -3?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 7 - 43. Let g be (-4)\/(-5)*z\/(-2). Is g equal to 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 10005, 9837, 9669?\n\"Answer: -168*p + 10173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 25.395\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-87 - 118 + 338 + 55 + 336)*(3*z**2 - 5*z**3 - 3*z**2).\nAnswer: -2620*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/136702064 and 21\/191728?\nAnswer: 136702064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, -0.2, 30, 452, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 46.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4303 (base 6) in base 13?\nAnswer: 5a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 11 + 125*k + 125*k - 250*k - 871*k**3 + 869*k**3.\nAnswer: -2*k**3 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 73223?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 38.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 157, 1, -3, 2, -7.\nAnswer: -7, -5, -3, 1, 2, 157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 27510 rounded to the nearest 1000?\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -106274, -425102, -956484, -1700420, -2656910?\n\"Answer: -106277*u**2 + 3*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76873 = 4*z + 3*m, 1240*m - 1235*m = 3*z - 57604. List the prime factors of z.\nAnswer: 19213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -25, 5, 0.2, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.0234848*-15\nAnswer: -0.352272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 2*o + 2, -3*l + 0*o + 12 = -2*o. Suppose -m = 3*n - 26, l*m - 34 = -n - 3*n. Is 277\/n - 6\/(-27) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3 + 4*y**2 - 172*y**3 - 170*y**3 + 343*y**3 - 5*y. Give t(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 22, -53, -202, -449, -818?\nAnswer: -1333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110010001 + -111?\nAnswer: 10110001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 453877?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = 4*y + 10 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-3)*2\/5*138\/(-23)\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-3\/13))**22 assuming a is positive.\nAnswer: a**(220\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = r + 2*j, -585*j + 12 = 3*r - 583*j for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (60\/(-9))\/(4\/18). Let h = 21 + q. Let d be ((-15)\/h)\/(3\/9). Solve 3*b - 17 + d = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 449*g + 565. What are the prime factors of x(11)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - n**2 + 5. Let f be s(0). Suppose -y + 0 = -5*u + 5, -37 = -4*y + u. Calculate the lowest common multiple of 4*f - 0\/2 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_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: Expand 0*t**5 + 8*t**5 + 3*t**5 + 1 - 1 - t**5 + (0 - t**2 + 0)*(-4*t**3 - t**3 + 6*t**3) + (-13*t + 14*t + 15*t)*(-5*t**4 - t**4 + 4*t**4).\nAnswer: -23*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-320)\/(-52) + 4\/(-26). Let d be (15\/(-35))\/(3\/(-21)). Let h = d + 6. What is the highest common divisor of c and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of 2*n + 2 - 10*n**2 + 50\/3*n**3. Factor v(g).\nAnswer: 2*(5*g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27892 and 1216.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 258359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/3285 and -26\/55.\nAnswer: 36135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 9*y**2 + 7*y - 11. Let h be z(-6). Let i = -39 + h. Suppose i*t + 42 = 18*t. Calculate the remainder when t is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -23811, -47610, -71399, -95172, -118923, -142646, -166335?\n\"Answer: f**3 - f**2 - 23803*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/460 and 67\/32660.\nAnswer: 32660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.08781 and 2?\nAnswer: -0.17562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1335 is divided by 58.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*i + 25*i - 36*i)*(2*i**2 - 2 + 0*i + 0*i).\nAnswer: -64*i**3 + 64*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-4)*14\/1778)\/1.\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + q + 4*q + 553 = 0, -8 = -2*q. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 771*h + 721. Let q(b) = -1542*b - 1443. Let m(t) = -5*q(t) - 9*x(t). Find the first derivative of m(f) wrt f.\nAnswer: 771","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 187973029 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 140 and 34260?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 40156776*w**3 - 107488317*w**2?\nAnswer: 240940656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7614 divided by -282.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10120 (base 3) to base 11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/204 + 827\/2244. Which is greater: w or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6674 and 2136949?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 301.1 - 301. Suppose 5*d - 2*d - 9 = 0. Suppose -5*z - 18 = -5*u + 12, z + d*u - 10 = 0. What is the nearest to -0.4 in w, z, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 593262943?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -16255*i + 5120287. Calculate f(315).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 29.11 to one dp.\nAnswer: 29.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i - 3. Let m be j(-4). Let s(n) = -n**3 - 34*n**2 + 3*n + 127. Let x be s(-34). List the prime factors of ((-132)\/(-20))\/(m\/x).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 27 = 5*y, -88*r - 17*y - 189 = -83*r + 17*y for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4*m - 6 = 8, 4*p + 3*m - 14 = 0. Solve 0 = 5*o - p*o + 6, -4*b - 2*o + 4 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.5 - -38.5. Let x = -114569 - -114610.9974. Let k = x - t. Round k to four dps.\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8200)\/240 - -33)*(-6)\/(-16)*(-18)\/42\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 21*b**3 + 2*b**2 - 2. Let d(k) = -148*k**2 - 1 + 3 + 143*k**2 + 3 - 43*k**3. Determine -2*d(y) - 5*i(y).\nAnswer: -19*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i**3 - 209*i**2 + 118*i + 1487. What is g(69)?\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 7:23 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/10 + 1107\/615. Let l be 78\/(-42) - 2\/14. Put l, -1, -5, y in increasing order.\nAnswer: -5, l, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 g when two letters picked without replacement from {f: 3, g: 5, z: 1, q: 1, k: 4}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 4*u**2 + 2. Let l be c(3). Suppose -4*z - 3*b - 2*b = -l, 2*b = -4*z + 14. What is the remainder when 14 is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 322, 370, 432, 508, 598, 702, 820?\n\"Answer: 7*q**2 + 27*q + 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 44.91 (b) 0.1 (c) 3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -5*t**4 + 93*t**3 - 1632*t**2 + 8740*t - 7196. Let u(j) = j**4 - 1. Let z(k) = h(k) + 4*u(k). Let z(y) = 0. Calculate y.\nAnswer: 1, 10, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1671484940?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*((-4)\/(-14) + 77\/(-98))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t + 8. Calculate q(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -1840*n + 1850*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -87 + 177 - 146. What is the least common multiple of x and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5115?\nAnswer: 3, 5, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/38 and ((-3)\/(-36))\/((4\/(-274))\/2).\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88832?\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zrrzrrzrrzrrrrzrrrrr. What is prob of sequence rz?\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p + 13. Let k be y(0). Let x = k + -9. What is the second derivative of -4*s - s**x + 0*s + s wrt s?\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 8*b - 159. Suppose 4*y + 5*p = 3*y - 1, p = -3*y + b. Let w(v) = v**2 - 14*v + 7. Does 17 divide w(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 55*u**2 + 101*u - 70. Let x(j) = -2*j**3 + 109*j**2 - 202*j + 140. Let p(w) = 5*s(w) + 3*x(w). What are the prime factors of p(50)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -223?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3045, 6511, 10355, 14577, 19177?\n\"Answer: 189*z**2 + 2899*z - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/10)\/(51\/1105). Suppose 8*y - 6 - x = 0. Suppose y*k + 70 = 9*k. Is k a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159 + 4*o**2 - 159 - 19*o**2.\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*m**4 + 3\/5*m**3 + 0*m - 1\/5*m**5 - 2\/5*m**2 + 0.\nAnswer: -m**2*(m - 1)**2*(m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/(sqrt(8) + (sqrt(8) + sqrt(128))*-5).\nAnswer: -sqrt(17)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -23806 divided by 308\nAnswer: -11903\/154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) 4 (c) 2 (d) 191 (e) -0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -5 (c) -0.34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -2*d + 34. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(2\/7))\/u*u**(-3\/4))**(4\/17) assuming u is positive.\nAnswer: u**(-29\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9570*n + 969*n + 860*n + 1003*n to m + s*n and give s.\nAnswer: 12402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51652410 is divided by 1101?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 1165 + 1171. What is the hundreds digit of ((-148)\/j)\/(-5 + (-784)\/(-156))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00130338654 to five dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 + 252\/((-24)\/(-8)) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 - 108 = -20*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-three quarters of a gram?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37165.\nAnswer: 5, 7433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 9*q**2 + 8*q - 14. Let o be j(-10). Suppose -3*r = -12 - o. Calculate the greatest common factor of r and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -420 + 422. Let u(s) = 6*s + 11 - s + 7*s - 9. Let p be u(1). What is the highest common factor of p and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14451.99ml in litres?\nAnswer: 14.45199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 2*r + 76, -5*u + 0*u + 190 = -5*r. Let t = r + 41. Suppose -l - 2*c + 3 = 0, -2*l + 2*c = -l - t. Solve l + 1 = w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -5*v - 95. What is d(-20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2270, 9265, 20950, 37331, 58414, 84205?\n\"Answer: g**3 + 2339*g**2 - 29*g - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 0.2, -3\/2, -1.95, -10\/9, -10?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 7 + 2 + 69*y - 254*y - 59*y to b + r*y and give r.\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*b = -5*f - 84*b + 95, -2*f - 3*b = -43 for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*o - 260149 = -60137, -3*v + 299984 = 4*o. What is v rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t**3 - 2*t**3 - 22*t + 35*t - 16*t to the form i + a*t**3 + n*t + k*t**2 and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/44)\/(86\/(-688))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z - 3*y - 5, -z - 3 = 8*y - 3*y for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0\/3)\/(1*2). Suppose 0*v - v + 2 = x. Sort -2, 3, v in increasing order.\nAnswer: -2, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9073, -17516, -25339, -32542, -39125, -45088, -50431?\nAnswer: -55154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ivviffvv. What is prob of sequence vi?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6634 and 82457303?\nAnswer: 3317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 25, -2\/7, -950, 0.5, 3\/4, 299?\nAnswer: -950","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1210*h - 4180 = 106*h + 11118 + 13654 for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4\/229, 2, -14 in decreasing order.\nAnswer: 2, 1, 4\/229, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -54*y - 228. Let v be m(-6). Suppose 5*z - 84 = -i + z, -i + 5*z = -57. What is the highest common divisor of i and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003986504 to 7 decimal places.\nAnswer: -0.0000399","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4818 - 12046 = 1024*g + 2288*g + 6020 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 28259543?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -513 = -25*m + 1012. Which is smaller: m or 66?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134631?\nAnswer: 3, 7, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 24877545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 0 - (50 - 57)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = y - 75. Suppose 5*f - i - 24 = 25, -5*f = 3*i - y. Let w be (15\/f)\/((-3)\/(-50)). Calculate the highest common factor of 5 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 380.76 + -1824258416?\nAnswer: -1824258035.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 9242, 9274, 9306, 9338?\n\"Answer: 32*w + 9210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56529 = 21*v + 4*v - 47421. What is the lowest common multiple of 3564 and v?\nAnswer: 24948","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1343629*l**2 - 3324446*l?\nAnswer: -2687258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1618296 is divided by 143.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -20 (b) -0.301 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 6) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, z: 13, h: 3}. Give prob of picking 1 z and 1 c.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 62 - 9?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g + 635*b - 639*b + 20, 5*b - 20 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/10*-2*2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 1. Let l(y) = 92*y + 1. Give l(r) - 4*x(r).\nAnswer: 92*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6299643085?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -18\/5*w**5 + 4 + 3*w + 0*w**3 + 4\/3*w**4 - w**2. What is the third derivative of h(m) wrt m?\nAnswer: -432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3644251?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - sqrt(3)*-3*1) + (1*(4 + sqrt(3)))**2.\nAnswer: 19 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -180735 + 3?\nAnswer: -180732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-238710)\/3270 - (-8351)\/119\nAnswer: -48\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -1 - (48 - 50).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from uuujjjjjju?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -132 and 0.103?\nAnswer: -13.596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (4 + -3 + 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 12. Suppose q - 1 = 2*w. Sort -5, w, -1.\nAnswer: -5, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 5.31, -0.3, -5, 3, -0.1.\nAnswer: -5, -0.3, -0.1, 1\/2, 3, 5.31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 7400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 480 and 1072992?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 504.\nAnswer: -1\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84) + sqrt(84)*-2*3)*-5)\/(sqrt(60)\/(sqrt(5)*-1) - sqrt(588)*1)*-5)**2.\nAnswer: 109375\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-630)\/(-1176) - 2\/7. Factor 1\/4*u + g*u**3 - 1\/2*u**2 + 0.\nAnswer: u*(u - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 6. Suppose -p = 3*n - 5. Which is the closest to 0? (a) 5 (b) -2\/7 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -5*n + 15, -5*n + 5*v - 4*v + 21 = 0. Solve -4*b = 5*l - 25, -5*l + 25 = n*b - 7*b for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2, -26, -68, -130, -218, -338?\n\"Answer: -u**3 - u**2 - 18*u + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54571 = -4*h - 3*r, h + 5*r + 2498 = 16145. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 13*h**2 + 4*h - 17. Is b(15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1093, -1215, -1517, -2089, -3021, -4403, -6325, -8877?\nAnswer: -12149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 90 + 232 = 4*d, -d = a - 78. Calculate the remainder when 1240 is divided by d.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from tqjcjtcctqctqqttqq?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 26697 rounded to the nearest one thousand?\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*f - 23*f - 24*f)*(3*f**2 - 3*f**2 - f**2).\nAnswer: 77*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x + 15. Let k be r(11). Suppose -56 = -k*o + 3*p, -5*o - p + 48 = -3. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 236 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15832 - 12383. Is 5 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -4*i + 3. Let a(f) = -23*f + 17. Let z(r) = 6*a(r) - 34*q(r). Let n(b) = 50*b**2. Give z(n(k)).\nAnswer: -100*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10608\/28 + 18\/(-21). What is the greatest common divisor of v and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*b**3 - b**3 + 23*b**3.\nAnswer: -21*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 12067, 24142, 36217, 48292, 60367?\n\"Answer: 12075*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 354.8293 micrometers?\nAnswer: 0.0003548293","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*m**4 - 38357*m**3 + 239*m**2 - 2*m wrt m.\nAnswer: -72*m - 230142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 60058 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, 4972, 0.3, -13?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 - 11*v**2 + 7*v + 11. Let p(m) = -m**2 - 8*m - 4. Let n be p(-3). What are the prime factors of f(n)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 16*d**2 - 24*d - 54. Let m be w(14). Solve 0 = m*r - 0*r + t, -r = t for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -16, 4 in descending order.\nAnswer: 4, 2, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2*k + 104 = 3*k, -4*z + 5*k = 371. Let o = z + 149. Is o a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -3, 1\/2, -0.1491, -4\/5, 3, 0.4, -0.08?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2. Suppose 3*f + 2 = -5*v, f + 1 = -2*v - 0*f. Let d be 5*(14\/10 - v). Let a(z) = -d + 2 + 10 + 3*z. Give n(a(w)).\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 7*w**2 - 5*w + 6. Let f = -106 + 121. Let t be ((-4)\/5)\/(2\/f). What is k(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 2*k**2 - 9*k + 5. Give h(6).\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/34*(-20)\/((-10)\/1)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3\/8 (b) -0.2 (c) 9\/7 (d) 5 (e) 0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3 - 5508*y**2 - 2665296*y - 124123584.\nAnswer: -3*(y + 52)*(y + 892)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c + 5*y - 10, 24 = -3*c - 0*y + 3*y for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**3 + 2*f + 1. Let z be q(-1). List the prime factors of -4*z\/4*-2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 752, 3030, 6528, 11000, 16200, 21882, 27800, 33708?\n\"Answer: -41*u**3 + 856*u**2 - 3*u - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 55264 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -4*w. Let z(f) = -f**2 - 3123*f - 857. Determine p(z(s)).\nAnswer: 4*s**2 + 12492*s + 3428","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f - 3. Let b(y) be the third derivative of -1\/2*y**3 + 0*y + 1\/12*y**4 + 35*y**2 + 0. Give 4*b(h) - 3*i(h).\nAnswer: 2*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/96 and 121\/(-72) + (3 - 1\/1 - 1).\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21971)\/1211 + 34\/2.\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4118145 >= -4118139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 26.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.147 to two dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8047275, 32189092, 72425453, 128756358, 201181807?\nAnswer: 289701800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 7 = -5*h, 3*u = -3*h - 18. Let r be -2*(10\/(-5) - 30\/u). Do -10 and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-1 + sqrt(95)\/sqrt(5) + sqrt(19) + sqrt(209)\/sqrt(99))*-6*5)**2.\nAnswer: -21000*sqrt(19) + 470000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 5*h + 23, y - 4*h = -0*y + 19. Suppose 5*i = y*i + 2*x + 70, 2*i - 4*x = 76. Put -1, -3, i in ascending order.\nAnswer: -3, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1359*u**2 - 3249*u**2 - 7530*u**2 as t + a*u + l*u**2 and give l.\nAnswer: -9420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -280\/36779 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -80 - -77. What is the smallest value in 0.5, z, -2\/7, 9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 12:59 PM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 3:33 PM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 b when three letters picked without replacement from {o: 7, b: 6, k: 1}?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22 - 8*c + 4*c + 6*c + (-1 + 0 + 0)*(-2*c - 2*c + 3*c) - c + c + 2*c - 3*c + 2*c + 3*c.\nAnswer: 7*c + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 41*p**2 + 7*p + 151. Give v(-4).\nAnswer: 779","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 n when four letters picked without replacement from {z: 1, n: 4, w: 3, b: 5}.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3.1513 or 0.041?\nAnswer: 3.1513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 3. Let t be -3 + 1\/(-2)*0. Let m be t*1\/3*-4. Solve m*f = q*f + 4*b - 16, f - b = -7 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/702 and -11\/22464.\nAnswer: 22464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 332 + 1?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hoykq. What is prob of sequence kq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 22560, -3, 4 in ascending order.\nAnswer: -3, 4, 22560","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27110527\/32853 + -4\/699. Let b = k + 4126\/5. Let g = 684\/1645 - b. What is the closest to -2\/3 in -0.3, -1\/6, g?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8, -112, -278, -506?\n\"Answer: -31*w**2 - 11*w + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1024318327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 43*u**3 - 1678*u**2 + 39*u - 122. Determine h(39).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4 - 3)*(0*i - 2*i + 4*i) - 2*i - 3*i + 4*i + 0*i + 2*i + 0*i + 28*i + 286*i + 135*i in the form c + f*i and give f.\nAnswer: 446","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.233 - -0.232889. What is o rounded to 5 dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16464 - 1634?\nAnswer: 14530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -281 + 3948. List the prime factors of x.\nAnswer: 19, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 9*r**2. Let y(s) = 3*s. Let t(o) = -o. Suppose 4*m - 9 = -1. Let g(f) = m*y(f) + 7*t(f). Calculate k(g(n)).\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*p - 240. Calculate the highest common divisor of 10 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8911 and -0.03833.\nAnswer: -341.55863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*j - 0*j. Let o(t) = t**2 + 2*t - 1. Let f be o(j). Let p = 10 - 14. Which is the third biggest value? (a) p (b) 0.3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + i - 1. Let h(x) = 7 + 4*x - 4*x - x. Let j be h(6). Give s(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 11:27 AM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72 and 7279128?\nAnswer: 7279128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p + 7. Let q be n(5). Suppose -3*f + 5 = q*f. What is the second smallest value in 0.4, 0.3, f?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 22 = -2*c, 3*c + 58*s - 27 = 53*s for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*w + 1910493 = 787066 - 3883897. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -94.5 - -94.4579. Let v = h + -0.2579. What is the closest to -2\/3 in 0.1, -3, v, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 0.09 (c) 73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -525.4 in 5, -23, -2?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccvvc. Give prob of picking 1 c and 2 v.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q, 1 a, and 1 b when four letters picked without replacement from unaxxnuxxqunubxnqxqu.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.214 - -7.114. What is the second smallest value in 3\/7, u, 4, 1320?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, e: 10, d: 3}. What is prob of picking 1 u and 1 d?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 13 = -5. Let t(i) be the first derivative of i**4\/4 + 3*i**2 + 1. Let d(q) = -q**3 - q. Calculate s*t(m) + 6*d(m).\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 16675.86 to the nearest 100.\nAnswer: 16700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {o: 9, b: 10}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -772, -1541, -2310?\nAnswer: -3079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(3\/3 + 1). Suppose -8 = 2*s - 2*z, y*s + 2 = -8*z + 4*z. What is the tens digit of (-2 - s) + -2 - -11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 2*p**2 + p + 5. Let q be h(0). Solve -n + 2*n - 8 = 3*u, n = q*u + 10 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4*((-1*sqrt(108) - sqrt(108)) + sqrt(108)))\/(2*(sqrt(81)*1 + sqrt(81))).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3540, 3518, 3482, 3432, 3368?\n\"Answer: -7*m**2 - m + 3548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/2*4)\/((-4)\/8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 304 + 736 - 280 + 5*j**2 - 765*j = 0. Calculate j.\nAnswer: 1, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 60.154128ms?\nAnswer: 0.00001670948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/11 - 4360*b**2\/11 + 176800*b\/11 - 1776000\/11.\nAnswer: -2*(b - 20)**2*(b + 2220)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3372252203 - 4?\nAnswer: -3372252207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 1:10 PM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -74 - -9291a?\nAnswer: 92886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 6*f - 208. Suppose -b - 5*c = 17, -b = -5*b + 4*c + f. Calculate the common denominator of ((-3 + b)\/(-1))\/(-11) and 53\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*(-4 - -2) + -3 - -87. Let v = 43 - 26. Suppose q - d = -v. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 368618?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-10)*380\/76.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 44*h + 1044. Let y be r(-23). Solve 27*l = y*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.38 - 0.4. Let w = -1 + 1.03. Let f = q + w. What is f rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 1533290 - 307964 = -3*y, -3*y = -t + 245058. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-333)\/(-222))\/(9*-1)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 41337?\nAnswer: 82674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/295 or 0?\nAnswer: 2\/295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 203514.9 months?\nAnswer: 169.59575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x - 23. Let t be n(13). Let z(w) = 5*w + 21. Let o be z(t). Let y = o + -24. Solve 6*d = 2*d + y for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212350 (base 8) to base 10.\nAnswer: 70888","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3*s**3 - 50*s**2 - 199*s - 130. Give q(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 11:23 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -5*s - 5. Let z be l(-2). Suppose -3*h = -x + 389, 0 = -z*h - 2 - 3. Suppose x = u - 3*n + 13, -4*n = -8. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 1 + 2\/(-4). Let n be (-333)\/(-85) - 6\/15. Let y = 17\/5 - n. Which is the third biggest value? (a) x (b) y (c) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 326348792.\nAnswer: 1\/326348792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 10 = 3*n. Suppose 47 = 4*l - k + 6*k, -k - 41 = -n*l. What is the highest common divisor of l and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 4, 5\/17?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -16*n - 1. Let f be m(-1). What is the greatest common divisor of 6 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -2. Let r be (-3157)\/(-187) - 15 - (-12)\/102. What is the closest to -0.2 in -3, g, r, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73 divided by 1.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 1807 = -6441. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 432 is divided by 90?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqzq when four letters picked without replacement from {x: 2, z: 3, e: 1, q: 6}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9 (b) -41\/7 (c) -1673\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52430, -52432, -52434?\nAnswer: -52436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -151 (b) -0.21 (c) -3\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -21*a - 246. What is h(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2648, 5293, 7938, 10583, 13228, 15873?\n\"Answer: 2645*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1543650 divided by 20582.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -5*c**2. Suppose -1 + 0 = -b. Let p(j) = 7*j + 6. Let s(m) be the first derivative of m**2\/2 + m + 2. Let f(v) = b*p(v) - 6*s(v). Calculate f(g(i)).\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -8*p**2. Let t(g) = g + 2. Let z(v) = -18*v - 30. Let m(r) = -45*t(r) - 3*z(r). What is a(m(y))?\nAnswer: -648*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -56, -148, -294, -512, -820?\nAnswer: -1236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12\/14)\/(8\/56). Suppose -w*d = -d - 25. Suppose -2*o + d*o = 3. What is the second biggest value in -4\/5, o, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -270*x - 34. What are the prime factors of n(-4)?\nAnswer: 2, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75396 is divided by 113.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1787, 4850, 12077, 25550, 47351?\nAnswer: 79562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8326\/11 + 753. Let u = -4\/21 - -194\/357. Let y = u + 67\/51. Calculate the common denominator of y and n.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.54 + -0.43. Which is smaller: 1\/4 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 10*q**2 - 13*q + 10. Let n be o(8). Let t = n - -11. What is the second derivative of 7*u - t*u**5 + 43*u**5 - 4*u wrt u?\nAnswer: -40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*s + 15 = 11*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 31*d**2 - 58*d + 63. Is c(34) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 18 = -0*j. Is 14 a factor of 23 + (-2)\/((-6)\/j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -6*a**2 - 10*a - 3. Let z(h) = 3*h**2 + 11*h + 2. Let o(g) = -2*s(g) - 3*z(g). Let r(m) = -3*m**2. What is o(r(q))?\nAnswer: 27*q**4 + 39*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1325d - 3?\nAnswer: -13261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -11 + 59 + -46?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 39*z + 620 + 433. Sort 0, 1, z, -4.\nAnswer: z, -4, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/2*0\/(-74).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1700514 and 132?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 330655 or 330654?\nAnswer: 330655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 478*i**2*w**3 + 7*i**2*w**2 - 1230*i**2*w - i**2 + 2 wrt w.\nAnswer: 2868*i**2*w + 14*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**3\/7 + 20*d**2\/7 - 274*d\/7 - 612\/7 = 0. What is d?\nAnswer: -17, -2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3 - 9 + 5 + t. Let i be (1 - (-1)\/1) + 3. Calculate r(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 223113113232 + 10?\nAnswer: 223113113302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 27\/5 of a micrometer?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rv when two letters picked without replacement from {t: 2, v: 1, r: 1, w: 4, x: 7}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 42169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -89? (a) -17\/4 (b) 8 (c) 1\/3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8367\/(-3))\/(31 - 17 - 13). Put -1, -5, m in descending order.\nAnswer: -1, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.6 + -2.9. Let o = -3 - d. Let y = -2.4 + 2. Which is the third smallest value? (a) y (b) 0 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1625674 to the power of 1\/3, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -17*h - 1. Let j be g(-1). Suppose 0*p + p = -4*a + j, -3*a + 2*p = -12. Suppose d + 51 = a*d. Calculate the remainder when d is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 33. Let m = -9 - y. Let t = m + -9. Which is smaller: t or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 - 14\/3)*21. Let m be 4 + 1\/(3\/j). Let f = 2 + -3. Which is greater: m or f?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 726190 (base 10) to base 11\nAnswer: 456663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/24*-2*10. Let o(s) = s**3 + 4*s + 6. Let l(p) = p**3 + 3*p + 5. Let z be (-3 + 168\/16)*12\/15. What is f*o(w) + z*l(w)?\nAnswer: w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-6*(1 + sqrt(432)) - -5*(-2 + sqrt(432))**2) + (-1 + sqrt(432) + 1)**2 + (sqrt(432) + 0)*3 + -5.\nAnswer: -276*sqrt(3) + 2606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4919*n**2 + 4919*n**2 + n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + 9*t - 12. Give d(11).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/((-32)\/(-2)))\/((-52)\/(-10192)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 852*i**2*z**3 - 147*i*z**3 + 4*z**3 wrt i.\nAnswer: 1704*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 191*c - 4. Suppose 3*t + 6 = -3*t. Let m be g(t). Let d = -58 - m. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gc when two letters picked without replacement from gccc?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tvvutvvttt. What is prob of picking 3 v?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*b - 30*b - 3738 = -3*l, 0 = -5*b - 2*l + 4676. Is b a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 63\/101 - -9697\/808. Suppose -w - 2 = 3*a, 2*w - 4*w + 5*a = 48. What is the common denominator of w and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w**3 - 16*w**2 + 33*w - 65. Give x(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 270*a**3 + a**2 - a + 1 + 1 + a**2 - 268*a**3 - 1. Determine i(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13304064 (base 7) in base 14?\nAnswer: 23d8db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*g = -28*g - 34*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4943071?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66858883 is divided by 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m**4*p**2 + 104241261*m**4*p + 52*m**2*p**2 - 14*m**2*p - 5*m**2 + 3*m*p**2 + 13*m*p - 2*m wrt m?\nAnswer: 24*m*p**2 + 2501790264*m*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1980.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/16 of a centimeter?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 129 (b) 366 (c) 0.5 (d) -220\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3 - 508*b**2 - 31406*b - 30900.\nAnswer: -2*(b + 1)*(b + 103)*(b + 150)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1698355 - 0.1.\nAnswer: -1698355.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*w + 4975 = -8573 + 2940. Sort 1, -3, w in ascending order.\nAnswer: w, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26*9\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 268956581?\nAnswer: 1489, 180629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -9*s - 4. Let x(z) = -2*z**2. Calculate x(q(d)).\nAnswer: -162*d**2 - 144*d - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/8)\/(37*(-53)\/(-15688)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1151, 2292, 3407, 4484, 5511, 6476, 7367?\n\"Answer: -2*w**3 - w**2 + 1158*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -979 - -982. Let y(r) be the third derivative of 5*r**4\/24 - r**3\/2 + 2*r**2. Give y(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2691\/4 + -14953\/28. Let y = 139 - q. What is the closest to -2 in 0, 1, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 4*m - 0*m - 1244, m - 306 = 2*k. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wmwwwwtwwtwwwwwwt. What is prob of picking 4 w?\nAnswer: 143\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-101*k**3 - 294*k**3 - 268*k**3)*(k - 2*k - k) - 2*k**4 + 2*k**2 - 2*k**2.\nAnswer: 1324*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**3 - o**2 + 2*o + 3. Let y be h(-1). Let p be (9 - 16496)*(y - -1). Let k = p + 72161. Round k to the nearest one thousand.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -7 + 301*d + 19 - 299*d. Let i be k(-7). Let y be ((-3)\/i)\/(6\/20). Solve -2*s + 15 = y for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(9\/(-75)) - 11. Let h be ((-345)\/6)\/((-1)\/2). Suppose -v*q = -9*q - h. What is the remainder when 112 is divided by q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14035968 divided by 3046.\nAnswer: -4608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14*(-4)\/(12 + -4). Let g = n + 7. Let d be 2\/(-3) + 2\/12. Which is the closest to d? (a) -3 (b) -1\/3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 34364 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((5 - -950) + 3)*(-37)\/(-2). Let w = 27022 - o. Is w 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 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (3 - 0) - (-10 - -18).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 - (-7 - 10) - -52?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1344 - 22511?\nAnswer: -24155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1751824, -3503619, -5255414, -7007209?\n\"Answer: -1751795*w - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(490)\/(-6*sqrt(30)\/sqrt(3)))\/(3*sqrt(567)*-1*5))**2.\nAnswer: 7\/656100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3*i**2 + 2)*(-6 + 6*i + 6).\nAnswer: -18*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/2 - (-3)\/6. Let c be -1*w*96\/(-6). Suppose 5*m + 21 = 4*d - 21, -3*d = -4*m - c. Is d a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 12*r + 18 = 0. Let t(q) = 3*q - 16. Let s be t(r). Solve 5*i + 18 = -x, s*i + 2*x + 3*x = -21 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 17. Differentiate 9*p**2 - 4*p**2 - 2*p**3 - n*p**2 - 5 wrt p.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5*p - 73 = 0, -p - p + 46 = -3*n. Let m be (-3 - n) + -3 + 2. Suppose -4*v + m*i - 3*i = 10, -3*i = -v - 6. Solve 4*x + 2 - 10 = v for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11198, -3\/5, 1\/4017 in ascending order.\nAnswer: -11198, -3\/5, 1\/4017","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y + 2*y - 4*y)*(-2 - 2*y**2 + 2) - 4*y**3 - 3*y**3 + 5*y**3.\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**3 + n**2 + 4*n - 4. Let g be o(2). Suppose 5*j = -3*j + g. Solve 0 = j*c + 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -623, -8 in descending order.\nAnswer: 22, -8, -623","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31 and 646567.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 268435255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + s**2 + 3)*(-3*s + 2*s + 3*s) + 0*s**3 + 2*s**3 + 0*s**3 + 6*s**3 - 4*s**3 + 4*s**3 + (0 + 0 - 2*s**3)*(-4 + 3 - 1))*(3*s + 2*s**2 - 3 - 2 + 3).\nAnswer: 28*s**5 + 42*s**4 - 28*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -760 divided by -76?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 4 = 12*u + 2*a - 6*a, -56*a + 39*a + 143 = -2*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/(-6))\/(((-33)\/10)\/(-11))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 20.4 * -18462\nAnswer: -376624.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.15123 - -0.1522819. Round b to four dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 181 - 288 - -89 - (-1 + 50).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2230894 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 5*u + 87 = k, -k - 2*u + 93 = 0. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 12:29 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 18 + -19 + 106 + -1 + -35\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*r + 23*r = 142*r - 2013 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - x + 0*x)*(-283*x**2 + 285*x**2 - 17*x**4 - 145*x**4).\nAnswer: 162*x**5 - 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 5*q**3 - 12615*q**2 + 10609215*q - 2974116605 = 0.\nAnswer: 841","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 181, 302, 423, 544?\nAnswer: 665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -41*q + 1. Let g be n(-1). Let h be (-6)\/20*(-35)\/g. Which is greater: 0.03 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 3 = -12. Suppose 12 = -h*u + u. What is the units digit of (15\/u)\/(2\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 13 = -3*h + 16, 7 = 3*c + 2*h. Let o(d) = -1 + c - 3245*d + 3268*d. Let g(m) = 10*m. Give o(g(t)).\nAnswer: 230*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h. Let z(m) = -m**2 + 18*m - 39. Let l be z(15). Let q(k) = -k + 0*k + 1 - 2. Let n(f) = 4*f + 3. Let t(o) = l*q(o) + 2*n(o). Give i(t(a)).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of 5*g**3\/3 + 2*g**2 - 165*g + 658. What is the first derivative of o(c) wrt c?\nAnswer: 10*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q**2 + 492945*q + 985870 = 0. Calculate q.\nAnswer: -98587, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/3 (b) -0.1 (c) -0.0275 (d) 4 (e) -73.3 (f) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -211*k**2 + k**4 - 252*k**2 - 154*k**2 + 143*k**2 - k - 5*k**3 in the form h*k + x*k**3 + c + g*k**2 + u*k**4 and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 15) to base 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - (28 - 27)) + 13?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 - 3*r**2 + 12*r**2)*(1 - 2 - 1)*(-16 + 7 - 61).\nAnswer: 980*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 0*h**2 - 3*h**2 + 2*h**2. Let r(g) be the first derivative of 0*g + 4 + 1\/2*g**2. Determine a(r(z)).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 8 + 10*w)*(0 - 1 + 0) + 19*w - 5*w + w + (-4 + 2 + 3)*(-2*w + 3*w - 4*w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 50 * 14614\nAnswer: 730700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004041523 to five dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 77323784513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 15168 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -42252713 (base 8) to base 14\nAnswer: -12a4055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -51 + 201\/4. Let p = -200\/111 + 5\/37. What is the second smallest value in h, 4, p?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (56\/23100*11)\/(2\/(-6))?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 1\/10, 0.042 in descending order.\nAnswer: 1\/10, 0.042, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 133884 and 125315424?\nAnswer: 125315424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -s**2 - 3*s - 22. Let r be y(-3). Suppose r*c - 3 = 9. Solve c*m = 8*m - 16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 - 47*g + 1602. What is u(-70)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001133073 to seven decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 10 = -4*o, 0 = 3*c - 4*c + 2. Suppose o*f - 5*s - 36 = -2*f, 5*f - 2*s - 45 = 0. Calculate the highest common factor of 45 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*-48.32\nAnswer: -144.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 4690, -0.039, 1\/35, -0.2?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7293588?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 31*g**2 - 98*g - 147. Calculate b(34).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 134 or 238?\nAnswer: 134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -15*h - 18*h + 31*h. Let f = 0 + 3. Let j(m) = -f*m + 1 - 1. Determine z(j(t)).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 11:30 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1429379\/76 + 18808. What is the common denominator of t and -67\/8?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2898*a - 2. Let p(q) = 563*q. Calculate p(w(x)).\nAnswer: 1631574*x - 1126","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1212 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of -o**10\/378000 + o**8\/16800 - o**7\/6300 + 59*o**5\/60 - o**2 + 5*o. Let b(d) be the third derivative of h(d). Factor b(f).\nAnswer: -2*f*(f - 1)**2*(f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*y - 5. Suppose -5*p + y*b = 5, -p + 0*b = -4*b + 18. Suppose -23 - 3 = -p*t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express y**4 - 2*y**3 + 2*y - 100 + 101 + 2*y + 4*y as z*y + v*y**2 + n*y**4 + i + l*y**3 and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j + 12 - 12)*((-j**2 + 5*j**2 - 3*j**2)*(2 - 2 + j) + 2*j**3 + 0*j + 0*j).\nAnswer: -18*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2138 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 97976 + 27?\nAnswer: 98003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 169 in descending order.\nAnswer: 169, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1079 times -6\nAnswer: -6474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33.87 + -34. Let c = p - -0.28. Let w = 0.1536 - c. What is w rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 times 15.9\nAnswer: 174.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/3))**42\/((m**(-19)\/m)\/m)**(17\/5))**18 assuming m is positive.\nAnswer: m**(8946\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4*r. Let k be -21 - 1302\/(-56) - 2\/(-8)*-1. Let b(f) be the second derivative of -18*f + 0 + 0*f**k + 1\/2*f**3. What is b(m(i))?\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -16.2 + 15. Let v = r - -1. Let h = -0.0734 - -4.0734. Which is the nearest to -0.2? (a) h (b) -4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y\/(y**(-11)*y)*y)\/y)\/(y*y*y\/(y\/y**(-14))))**41)**42 assuming y is positive.\nAnswer: y**41328","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69123.06 nanograms to grams.\nAnswer: 0.00006912306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -5*u + 15645, 0*u = -19*u - 3*m + 59398. Calculate the remainder when u is divided by 92.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 271 + 9. Suppose -4*q = -0*q - m. What is the lowest common multiple of q and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 253 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 4 - 29. Calculate the highest common divisor of t and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -68 - 30. Let u = x + -31. What is the first derivative of u + 12 + 9*m**4 - 3*m**4 + 5*m**4 wrt m?\nAnswer: 44*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -0.5 (c) -3 (d) 0 (e) 55\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -429\/10 + 433\/10. What is the nearest to v in -0.3, -1\/2, 2\/15, -10?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 82*a - 430. Calculate h(-5).\nAnswer: -840","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-76782)\/764 + 42\/(-28)?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00018151851 rounded to 5 dps?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.1 - -5.1. Let j = h + 6. Let q = j + -6. What is the smallest value in 2\/9, -5, q?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 + 81)*8\/((-80)\/(-65))?\nAnswer: 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -4\/3, 0.6, 5 in decreasing order.\nAnswer: 13, 5, 0.6, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1327923.2 and 0.4.\nAnswer: -1327922.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 14885 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4713341597 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 525081926 to the nearest integer?\nAnswer: 22915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -5*s**2. Suppose 0 = -2*o + o - 4*w + 16, 22 = 3*o - w. Suppose o = -4*y + 2*l - 2, -25 = -5*l. Let g(h) = -5*h + y*h + 7*h. Determine g(x(d)).\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20.5 + 21. Sort 0.15, -0.4, u in decreasing order.\nAnswer: u, 0.15, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -729.8 + 436.8. Sort z, -2\/7, 4, -3\/4 in increasing order.\nAnswer: z, -3\/4, -2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 102 + -110. What is the biggest value in 1\/4, t, 1\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 131 - 510 = y, 0 = t + y - 159. Suppose -20*h + 40 = -t. What is the lowest common multiple of 60 and h?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 7220*d + 7225*d - 87 = 0, -4*d = -16*p - 52 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2388, -2397, -2420, -2463, -2532, -2633?\n\"Answer: -x**3 - x**2 + x - 2387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*z - 11*z + 18*z as p + h*z and give h.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -22, -47, -72, -91, -98, -87, -52?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-460))\/(((-18)\/(-5))\/((-592)\/370)).\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1 + -4 + -4*sqrt(7) + 1 + ((sqrt(7) + sqrt(42)\/sqrt(6))*5 - (sqrt(7) + 6*sqrt(28))).\nAnswer: -7*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27 and 7533.\nAnswer: 7533","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbnnnbbb. Give prob of picking 2 n and 1 b.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.107 and 15.\nAnswer: 1.605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/3 + 1184*s**2\/3 - 66964*s\/3 - 138656\/3.\nAnswer: (s - 56)*(s + 2)*(s + 1238)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -203 + 207. Let o(k) = 3*k - 10. Let y be o(2). Put r, 8, y, 2 in decreasing order.\nAnswer: 8, r, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, 4, -1305 in decreasing order.\nAnswer: 4, -41, -1305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - 5. Suppose 0 = f - 3*k - k - 6, 0 = 4*k + g. Sort f, 2, -5 in decreasing order.\nAnswer: 2, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -2.54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 136467.4 + 0.4\nAnswer: 136467.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of 0*i**2 + 0 - 17*i + 1\/3*i**3. Let x(y) = y - 2*y + 0*y. Give s(x(j)).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8 + 11 + 18 - 332*l - 12 + 16 with respect to l.\nAnswer: -332","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t = 55*c - 56*c + 14, -3*c + 23 = -t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 2) + -7 + 8 + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26136)\/(-91476) - (2 - 766\/(-84)).\nAnswer: -65\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03839803255 to 4 decimal places.\nAnswer: -0.0384","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3579 - 688. What is the greatest common factor of 7 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 8 (b) 47 (c) 0.2 (d) 1\/34 (e) -1\/5 (f) 12\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -6*c + 22 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5622 (b) -5 (c) -39 (d) 0.1 (e) 39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*v**2 + 0)*(-2 - 1 + 1) - 2*v**2 - 2*v**2 - 2*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 456\/(-95) - (-186970)\/39025\nAnswer: -2\/223","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2547, -6445, -11713, -18351?\n\"Answer: -685*u**2 - 1843*u - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -868 - -867.99998542. What is r rounded to 6 dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171)\/sqrt(3)*-5*-5)\/(sqrt(48)*2*3 - sqrt(48)) + -3)**2.\nAnswer: -15*sqrt(19)\/2 + 619\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 33\/11 - (-18)\/(-5). Let p = -11 + 16. Which is the closest to -1? (a) p (b) -2\/3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(1440))\/(-3*sqrt(200) - sqrt(2)).\nAnswer: 60*sqrt(5)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 f, 1 h, and 1 v when four letters picked without replacement from {y: 8, v: 6, h: 1, f: 1, l: 2}.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200956.\nAnswer: 2, 7, 7177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10701 is divided by 8957.\nAnswer: 1744","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wxww when four letters picked without replacement from wxxxwxwxxx?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 162 and 479538.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 71, 23, -55, -163, -301, -469?\n\"Answer: -15*z**2 - 3*z + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of 659*z**5\/20 - 127*z**4\/3 + 208*z - 1. Find the third derivative of k(r) wrt r.\nAnswer: 3954","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - b**2 - b + 1. Let u(q) = 3*q**3 - 5*q**2 - 2*q + 3. Let d(z) = u(z) - 4*w(z). Suppose 82*j - 78*j = 12. Suppose j = -2*n - 1. Determine d(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26134, 52290, 78444, 104596, 130746?\nAnswer: 156894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*u**4 - 1\/2 + 1\/2*u + u**2 - u**3 + 1\/2*u**5.\nAnswer: (u - 1)**3*(u + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxh when three letters picked without replacement from hxsxh?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -20 + -755038599788\nAnswer: -755038599808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**2 - 5*i - 3. Give o(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13933367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -4*g - g + g**2 + 0*g - 8. Let m be v(6). Is -49*2\/4*m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 - 24. What are the prime factors of (-3668)\/(-70) - r\/(-10)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.896 * 848.59\nAnswer: -760.33664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, k: 3, y: 3, r: 2}. What is prob of picking 2 a and 1 k?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*u - 54 = 0. Let q = -31 + u. List the prime factors of q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8.631907*-0.1\nAnswer: 0.8631907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 + -46. Let p = n - -15.3. Let w = p + -2.299992. What is w rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (18 - 17) + (-400)\/442. Let k = 8545\/1547 - p. What is the common denominator of k and -41\/5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 + -17. Suppose -5*g = -0*g - a. Let i = g + -1. Put 1, i, 3 in ascending order.\nAnswer: 1, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -21 + (-1 - -9) - 11?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/(-5))\/3*3205\/1282?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13156578?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 757426 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 0, -0.0592, 3 in decreasing order.\nAnswer: 3, 1\/3, 0, -0.0592","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 552041387*4.\nAnswer: 2208165548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(30*(-6)\/(-18))*5\/20.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3744 - 3748. Which is the nearest to -2\/7? (a) 0 (b) f (c) -45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2451891170?\nAnswer: 2, 5, 245189117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 355*a**2 + 191*a**2 + 273*a**2 + 88*a**2 to j*a + k*a**2 + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1128 and 30456?\nAnswer: 30456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x + 8. Suppose p - 20 = 6*p. Let m be w(p). Suppose 6 = 5*c - m. Solve -c*b + 0 = 2*y + 6, -5*y = 4*b + 11 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 - 3061332?\nAnswer: -3061344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of c**3\/6 + c**2 - 15*c. Let d be u(-1). Solve -h = s + d, 3*h - h + 2 = -5*s for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.527238g in micrograms?\nAnswer: 5527238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f**2 + 3*f + 117. Determine p(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 18, 2, 4, 5 in increasing order.\nAnswer: -2, 2, 4, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 267\/9 - 12\/18. Solve -o*k - 2 = -27*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23.9 at most as big as -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*a + 6. Let m be 32\/10 + 5\/(-25). Let y(z) = a - m + 6 - 1 - 3*z. Calculate y(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 22 + 18. Let h(k) = -k**2 + 7*k + 12. Let d be h(v). Let u = -53 + 81. What is the greatest common divisor of u and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*g*o*w**3 + 1270*g*o*w**2 + 3*g*o + 4*g*w + 171032*o*w**3 - 11*w**3 + 359*w**2 wrt w.\nAnswer: -24*g*o + 1026192*o - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 25 + 8 + -22 - 45\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 594219629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 106*u + u - 3 - 111*u to f*u + h and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.0083948 (b) 4 (c) -2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + (-57)\/(-29) + 0. Suppose -20 = 11*z + 9*z. Which is smaller: x or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7721, 7706, 7683, 7652, 7613, 7566?\n\"Answer: -4*n**2 - 3*n + 7728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - -3. Let k be 1\/(3*3\/(-18)). What is the least common multiple of t and (k - (-4)\/(-3))\/((-6)\/90)?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 2, 0.3, 4.8, 25, -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 102857353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2429707121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*i = 46*i + 28. Let o be 1470\/4 - (-2)\/4. Calculate the remainder when (-2)\/7 + o\/14 is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 335158*t + 6215. Let y(f) = 2377*f + 44. Determine -4*c(j) + 565*y(j).\nAnswer: 2373*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 45106345?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, -9, -310 in descending order.\nAnswer: 1, -1, -9, -310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68468, -68469, -68470, -68471, -68472, -68473?\nAnswer: -68474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 544, 1083, 1620, 2155, 2688, 3219, 3748?\nAnswer: 4275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49*o**3 - 90*o**3 - 8 + 47*o**3)*(3 - 3 + 2*o**2).\nAnswer: 12*o**5 - 16*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 2*o = 0. Suppose 0 = -2*s - 8, 0*s + 4 = 3*c + 2*s. Solve -c*x + o*x - 8 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 65368*g + 26002 wrt g.\nAnswer: 65368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2837 + 2851. Solve -a*l + 5 = 75 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-3)\/(a*a**0)*a**(2\/11)\/(a*a*a**(2\/5))*a**(-2)\/((a*(((a\/a**(1\/3))\/a)\/a)\/a)\/a)*(a**(2\/3)*a)\/((a*a*a**(-1\/6))\/a) assuming a is positive.\nAnswer: a**(-1667\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 430290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18975982 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4.5*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18321736 to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1196*l + 1100*l - 2976 for l.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*z - 58*z - 12*z + 14*z.\nAnswer: -152*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 11) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3288)\/(-60) - 1\/(-15)*3. What is the greatest common factor of z and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ty when two letters picked without replacement from {r: 4, e: 4, l: 2, k: 1, y: 6, t: 2}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5364, -5213, -5064, -4917, -4772, -4629?\nAnswer: -4488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -x**7\/147 - 2*x**6\/105 + x**4\/21 + x**3\/21 - 11*x. Let l(k) = 0. Calculate k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2260 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + 22*r + 91. Give q(-14).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 52777916285 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39909 - 204*p**3 + 19956 + 19953 - 216*p**3.\nAnswer: -420*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39635 = -973*t - 32*t - 22675 for t.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of 0*b**3 + 0 + 7\/60*b**6 - 1\/35*b**7 + 0*b + 1\/12*b**4 - b**2 - 1\/6*b**5. What is w in f(w) = 0?\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.628 - 7.628. Suppose 0 = 5*z + 15, -2*f - 3*z = z + 2. Sort y, 1\/2, f in ascending order.\nAnswer: y, 1\/2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4361 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xp when two letters picked without replacement from ugxguxlpgxxb.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3212 - -2022330?\nAnswer: 2013112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 568*l**2 - 25021 + 25021.\nAnswer: 568*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -5022 (b) -0.02 (c) 0 (d) -2\/5 (e) 0.4 (f) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1120)\/240 + 306\/81?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1371071 (base 8) in base 2?\nAnswer: 1011111001000111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 4)*(0*g - g + 3*g + 2 - 2 - 2*g + (0 + 2 - 1)*(g + 2*g - 4*g) + 4*g - 3*g - 4*g).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -405 + 5131?\nAnswer: 4524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-54*f**2 + 54*f**2 - 32*f**4 - f**5)*(2 - 1 - 3) + 2*f**5 - 2*f + 2*f.\nAnswer: 4*f**5 + 64*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3580892*b**2 - b. Let g(u) = -3*u**2. Determine i(g(p)).\nAnswer: -32228028*p**4 + 3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -u + 4365*m - 4369*m, -5*m - 15 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 2*k - 15 = 0, 3*u = 2*k + k + 12. Let y = -4\/35 - 2\/7. Is y less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 0.005, 1, 0.5, 5, 93?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6759181 to the power of 1\/3, to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2*c + 10, -c - 4*c - 4*s = -31. Suppose 2*v + g = 2 + 3, -v + c*g = 1. Solve 2*k = 3*d - 5, k + k = -v*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 87374?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/5 and 71\/375.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/(-195)*5)\/((-4)\/18)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1204 and 2709.\nAnswer: 10836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of 4*x**5 + 3*x**4\/4 - 3*x**3\/2 + x**2 - 31*x. Let m be b(-6). What is m rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 43248?\nAnswer: 129744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1172 divided by 1?\nAnswer: -1172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 701381044?\nAnswer: 2, 7, 13, 23, 83777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 2*m + 5*c, -2*c - 49 = -38*m + 37*m. Let y be 52*((-74)\/(-8) - 1). What is the greatest common divisor of m and y?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 19 = 3*h, -6*o - 7 = -5*h - 2*o. Suppose -3*y - 15 = 0, -2*c - h*c + 365 = 2*y. Suppose -c + 32 = -n. List the prime factors of n.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 11 = -5*r, 4*r = -3*v + 3*r. Let a be (-2)\/(-2) + 20 + v. Calculate the common denominator of (a\/8)\/(7\/2) and 53\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32740 = -30*h + 32890. Let n be 1*((-2)\/1 - -5). Sort 2, n, h, 16 in ascending order.\nAnswer: 2, n, h, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*d - 107*d**3 + 1993*d**3 - 7*d**2 + 62*d + 6*d**2.\nAnswer: 1886*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5, -106, -293, -556, -895, -1310, -1801?\n\"Answer: -38*z**2 + 3*z + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o**2 + o**2 + 3*o**2)*(-5 + 0 + 3) + 2*o - 2*o**2 - 2*o + (-3 - 2*o**2 + 3)*(2 + 39 - 20) to k*o**2 + w + u*o and give k.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.44796 weeks in milliseconds?\nAnswer: 20834126208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**0*b*b*b))\/b*b\/(b\/b**(1\/5)))**(2\/19)*(b*b\/(b**(-2\/5)*b))**(1\/39)\/((b*b**(1\/6))\/(b\/((b*b**5*b)\/b*b))) assuming b is positive.\nAnswer: b**(-18341\/2470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 847*w - 9374. What is z(11)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 14, 21, 30, 41, 54, 69?\n\"Answer: y**2 + 4*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*w + w + w + (-3 + 0 + 1)*(-2*w + 3*w - 3*w))*(-1 - 38 - 83) in the form o*w + m and give o.\nAnswer: -366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -3. Suppose 0 = -z + t*z. Suppose 4*a = -z*a. Solve a = -m - 5*g, -m + 14 = -4*m - g for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39838 * -1\nAnswer: -39838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5232133 - 12?\nAnswer: 5232121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18564 = -36*a + 29*a. Suppose 2*j - 2*u = 8452, 2*j = 3*u - 2624 + 11071. Let t = j + a. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, w: 5, d: 3, x: 3, m: 4}. Give prob of sequence swxs.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l - 3*b - 38, l - 41 = -2*l + 3*b - 59 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.148 + 2.248. Which is the nearest to r? (a) 2 (b) 3\/2 (c) -206\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -1\/4*v**4 + 0*v + 203 + 1\/2*v**2 + 0*v**3. Factor w(c).\nAnswer: -c*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 2, 6, 8, -3.\nAnswer: -9, -3, 2, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2655106247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 765686.\nAnswer: 2, 382843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 64693*h*l - 63049*l wrt h.\nAnswer: 64693*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28892 and 992?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -144\/469 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3543647320.\nAnswer: 2, 5, 88591183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -216*i + 868. Let y be z(4). Solve 4*c = 3*c + 3*s - 2, 0 = 3*c - y*s + 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -4. Suppose a + 2 = t, 5*a + 3 = -2*j - 3. Suppose -4*d + 16 = -2*w + 3*w, -8 = j*w. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 40*o**2 - 39*o**2 + 2 + 14 + 5*o. What are the prime factors of z(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1462175 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/10 and 151\/114876.\nAnswer: 574380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a66 (base 11) in base 16?\nAnswer: a35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-13)*a*a**(-27))**(-24) assuming a is positive.\nAnswer: a**936","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence em when two letters picked without replacement from zeemexezheexqmmqex?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(285)\/(sqrt(5) - -1*sqrt(5)*2))\/((-5*sqrt(324) + sqrt(36))\/sqrt(12)).\nAnswer: -sqrt(19)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 40, 69, 98, 127?\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2102756 (base 8) to base 13\nAnswer: -167323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 16076*s**3 - 21*s**2 - 19*s - 191. Let c(o) = 3215*o**3 - 4*o**2 - 3*o - 38. Let x(t) = 11*c(t) - 2*l(t). Find the third derivative of x(z) wrt z.\nAnswer: 19278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1962079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/12 - (-310)\/60. Suppose 20 = -v + 5*v + d*u, -u + 20 = 4*v. Solve -v*o = -4*o + 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1162 and 4088?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 17 divided by 2\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -8*d**2 + 77*d + 374. Calculate a(12).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/4)\/((-2)\/(-12)). Solve -d*s + 3*c = -c + 18, -2*s = 3*c - 5 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = 4*m + 26, 8*m - 16 = 10*m - 4*z for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 70*p**3*r**3 - p**3*r + 160*p**3 + 45*p**2*r**3 + 5*p*r - 5*r**3 - 7 wrt r.\nAnswer: 420*p**3*r + 270*p**2*r - 30*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 297270 and 299.109.\nAnswer: 297569.109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 89136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -64 - -63. Let w be 1 - y - 2 - -59. Suppose 4*l - 53 = 3*a + 24, -a = -3*l + w. Solve -c = -5*c - l for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 355*w**3 + 35*w + 1 wrt w.\nAnswer: 2130*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 4*b**2 - 2*b + 1. Let s = 3 - 0. Let x be d(s). Find the third derivative of -3*r**4 + r**2 - r**4 + 8*r**x wrt r.\nAnswer: 96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 2*m - 15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 34*n**2 + 99*n - 21. Let y be i(-30). Calculate the greatest common factor of y and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**11*a**(6\/5) assuming a is positive.\nAnswer: a**(61\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 5*p + 4 - 9 = 0, 0 = -3*r + 2*p + 2. Solve r = -10*o + 3*o + 21 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of x**7\/42 - x**5\/4 + 2*x**3\/3 - 2*x**2 - 45*x - 2. Find the second derivative of z(n) wrt n.\nAnswer: 20*n**3 - 30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -14, -14\/9?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7738.134ml to litres.\nAnswer: 7.738134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 0.7 (c) -5\/6 (d) -1\/2 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -26*j**4 - j**3 - 120 wrt j.\nAnswer: -104*j**3 - 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 6 = 3*h + 107, 3*c + 4*h = 274. Calculate the greatest common divisor of c and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (154\/28)\/(3\/(-254)). Let x = 472 + t. What is the common denominator of x and -42?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 PM and 5:40 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61316228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 354.929 times -0.3\nAnswer: -106.4787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -6566*r**3 - 54425*r**2 - 2*r + 54425*r**2 - 1680*r**3 in the form a + i*r**2 + l*r + d*r**3 and give d.\nAnswer: -8246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, u: 1, f: 3, b: 9}. What is prob of picking 2 b?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -7 - m**2 - 2 + 0*m + 14*m**2 + 6*m + m**3. Let l be n(-10). Calculate the greatest common factor of 21 and l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, m: 1, z: 1, w: 9}. Give prob of picking 1 w, 1 z, and 1 m.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8\/71 - -86\/497. What is the second smallest value in u, 1\/4, -0.09?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-182)\/(-4))\/(6\/12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1068 + 1056. Let f = -2\/189 + -173\/1512. Put q, 0.3, -5, f in ascending order.\nAnswer: q, -5, f, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 644617209 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 1010000?\nAnswer: 1010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/51)\/(117\/156*(-12)\/27).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**2 - k**2 + k**2 + (4*k - k - 4*k)*(-3*k + 3*k + 3*k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 + -3)\/(-3)*1. Let d(u) = -u**2 + 2*u - 136. Let a be d(0). Let p = -136 - a. Solve -m*o - o = p for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 + 0 - -1) + (27 - 33).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/25096 and -59\/43918.\nAnswer: 175672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -8*1061\/(-8) + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 257061148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 715453 = 5*j + 4*p, 5*p + 0 = -15. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*d - 10 = -95*d. Factor 10*v + 45*v**3 + 7*v**4 - 24*v**d - 12*v**4 + 78*v - 96*v**2 + 12*v.\nAnswer: -5*v*(v - 5)*(v - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34596269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 2. Let y(u) = u**2. Let r(z) = -6*z**2. Let g(v) = f*r(v) + 8*y(v). Let n(q) = 3*q. Determine g(n(s)).\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 9*k**2 - 6*k + 6. Let h(v) = 9*v**2 - 7*v + 7. Let t(q) = 7*g(q) - 6*h(q). Let n(r) = 4*r**2. Give t(n(i)).\nAnswer: 144*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 760973088 to the power of 1\/3, to the nearest integer?\nAnswer: 913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*d, -d = -0*w + 5*w - 55. Calculate the least common multiple of 1622 and w.\nAnswer: 8110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -1\/24*o**4 + 0*o**7 + 1\/112*o**8 + 0*o**3 + 0*o**6 + 0 + 0*o**5 - 2*o**2 + 0*o. What is the second derivative of b(k) wrt k?\nAnswer: 60*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-5\/3)\/q)**(-27)\/(q**21*q**(-27)) assuming q is positive.\nAnswer: q**78","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - 4*d + 5. Let t be x(-5). Suppose 5*y + t*y = 10. Let o(k) = -5 + 3 - y*k + 0. Determine o(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-585555)\/1030*(1137\/(-1143) - -1)\nAnswer: -2\/127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by 53?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of -2*l**2 - 5\/8*l**4 - 7\/6*l**3 - 1\/120*l**6 + 0*l + 0 - 1\/6*l**5. Is n(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1311 is divided by 274?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 4. Let k = -1.9589 - 0.0411. What is the closest to k in -6, i, 0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2240051 (base 11) to base 8.\nAnswer: -16757604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182 is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccqqqccccc. Give prob of picking 3 q.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(5)*-2 + sqrt(5) + 2 - (sqrt(5) - -1*sqrt(5))*5) + 5*(-3 + sqrt(320)*-1 + sqrt(320)))*-5)**2 + -3.\nAnswer: -89100*sqrt(5) + 562722","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 42254 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) - (sqrt(637) - -3*1*sqrt(637)))**2*-2.\nAnswer: -11466","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.64597 grams in kilograms?\nAnswer: 0.03764597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*h - 3*h + 4*h)*(3*h - 6*h + 4*h)*(2 - 4 + 1).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 90.3 and -19?\nAnswer: -1715.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 4*u**2 - 2*u - 5. Suppose 3*s + 0*s = 3*w + 9, 5*s + 5*w - 25 = 0. Suppose -8 + s = n. What is t(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 1\/7, 0.57?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-7)\/(-2))\/(1\/(-2)). Let b be (-4 - (-52)\/12)\/((-2)\/(-18)). Suppose -30 = 5*x - 3*l, b*x = 2*x - 4*l - 6. Which is bigger: i or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 1 + 3*k - 6*k)*(21846 - 21846 + 1906*k).\nAnswer: -1906*k**2 - 1906*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, n: 2, r: 4}. What is prob of sequence rmr?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 divided by -3787.\nAnswer: 17\/3787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d - 2. Let z(y) = y + 1. Let f(u) = -2*n(u) - 6*z(u). Calculate f(3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5088 + 5087.97. What is the third smallest value in h, -2.3, -0.6, -3?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000375 rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (12 + (-2 + 2 - 5) - -1) + 0\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 7*b**2 + 11*b - 19. Let y(z) = -3*z**2 - 5*z + 10. Let k(o) = 2*v(o) + 5*y(o). Let j(t) be the first derivative of k(t). Calculate j(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 35502962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**(5\/6))**(9\/8)*(s\/((s*(s\/(s*s**0))\/s*s)\/s*s))**(-18))**(-42) assuming s is positive.\nAnswer: s**(-1071\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c - 10. Determine o(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 26*(3\/(-3) - -2). What is the hundreds digit of q\/143 + (-2132)\/(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -344342*y. Let a(o) = 5*o. Give d(a(m)).\nAnswer: -1721710*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/183 and -7\/24?\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9214 (b) -0.01 (c) -3\/2 (d) -0.2 (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112 + 105 - 19 + v + 34 - 55.\nAnswer: v + 177","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hkkkhkkkhkk.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 22373, 89708, 202011, 359282, 561521, 808728?\n\"Answer: 22484*c**2 - 117*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 113 and 1129681001.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 0 + 3)*(-7 - 3*t - 1 + 5).\nAnswer: 18*t + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3816?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*t**5 + 42*t**4 - 153*t**2 - 17026294*t wrt t?\nAnswer: -160*t**3 + 504*t**2 - 306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201*m - 90 = -216*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119976 is divided by 8568.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(((v*v\/(v*v**(-1\/4)\/v))\/v)\/v)))\/v)**2*(v**(-1))**(7\/5) assuming v is positive.\nAnswer: v**(-29\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of l**8\/1080 + l**7\/420 + l**6\/810 + 8*l**3 + 42. Let b(q) be the third derivative of h(q). Factor b(t).\nAnswer: 2*t**2*(t + 1)*(7*t + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17.1 - -21.4. Let g = i - 8.3. Which is the closest to -2? (a) g (b) 3 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t - v = 16*t - 3541, 5*v = -3*t + 3533. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 309*h**3*r**2 - 2*h**3*r - 19*h**2*r + 63*r**2 wrt h.\nAnswer: 1854*r**2 - 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -4*p. Let u(a) be the first derivative of -a**3 + 1. Determine u(m(c)).\nAnswer: -48*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13260882*0.21.\nAnswer: -2784785.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 119.24 rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -274, -2765, -9510, -22633, -44258, -76509, -121510?\n\"Answer: -354*a**3 - 3*a**2 - 4*a + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n - 3*n + 27. Suppose -109 = -5*k - n. Does 20 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + ((-10)\/45 - (-3)\/81*249).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 323 is divided by 110.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.3? (a) 0.4 (b) -38 (c) -4 (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8595, -17294, -40907, -86892, -162707, -275810, -433659?\n\"Answer: -1243*q**3 + q**2 - q - 7352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 15) to base 14\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155*d + 2486*d**3 + 155*d - 1872*d**3.\nAnswer: 614*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2449.\nAnswer: 31, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**4*l)*l\/(l**(-1\/3)*l)*l\/(l*l**(2\/9))*l**5)**43 assuming l is positive.\nAnswer: l**(430\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(2 + 1)*1. Let k be -2 + 1 + 35 - 2. Suppose 4*x = -5*c + 3, 4*x - 3*c - 11 = -k. Put 5, x, o in decreasing order.\nAnswer: 5, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbipbhbbiheh. Give prob of picking 2 b.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13121?\nAnswer: 13121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5981 or 5983?\nAnswer: 5983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26360053, -105440184, -237240403, -421760710, -659001105, -948961588?\nAnswer: -1291642159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/14 - (-194)\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of 57\/10*i**2 - 6\/5*i + 8 - 17\/5*i**3. Solve z(s) = 0 for s.\nAnswer: 2\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-84) - (-1424)\/(-42). Let b be 6\/117*3 - d\/(-221). Find z, given that b - 1\/4*z**2 + 1\/4*z = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v. Let z = 23 + -16. Let u(c) = -5*c. Give z*o(d) + 4*u(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22240 = 8*x - 0*x. Suppose -12*z = -2*z - x. Suppose -4*l + z = -130. Is l a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 717 a factor of 6996486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + w**2 + 30. Let t be c(0). Suppose -4*y + 5*x + 100 = 40, x = 2*y - t. Is y a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5069527 to three decimal places.\nAnswer: -0.507","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -18*v. Let s(m) = -18*m. Let d(z) = 4*s(z) - 3*w(z). Let o(t) = -105*t - 1976*t**2 + 105*t + 1977*t**2. What is d(o(p))?\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 + (-195 - 28) - (-25 + -1)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 5*n = 280, 5*g - 13*n - 383 = -15*n. Let h = g - 72. Let z(j) be the second derivative of j**4\/6 + j**3\/6 - 4*j. Determine z(h).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + (15 - 32 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2564*v**2 - 7713*v**2 + 2572*v**2 + 2574*v**2.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**2 + 19*q + 20. Let a(k) = 5 + 3 + 10*k**2 - 8*k**2 + 12*k + 5. Let d(m) = -7*a(m) + 5*v(m). What is the first derivative of d(j) wrt j?\nAnswer: -8*j + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in 2\/231, 0.5, 4\/7, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/31067 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 346, 4, -3, 269, 1\/6 in increasing order.\nAnswer: -3, 1\/6, 4, 269, 346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/(-18)*3 - -2) + -1. Let j be (-2)\/(-2) + -1 + 4. Let i be (0\/2)\/(-7 + j). Solve -5*g + n*g = i for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 23*f + 116*f - 31*f - 64*f - 2 - 24*f.\nAnswer: -26*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -77.28431 or 2\/47?\nAnswer: -77.28431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33 - 112. Let c = 1013\/7 + x. Which is greater: 6 or c?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 11, -0.3, -5.7, -0.1, 28?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-484)\/33 + 16 + (0 - 5816\/(-3))?\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/n**1)\/n)**(-5\/14)*n**(-2\/7)*n*n*n*n**(-2\/13))**21)**(1\/11) assuming n is positive.\nAnswer: n**(1593\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 16*c - 34. Let g be o(16). Let n(p) = -p + 0*p - 223 + g. Let v(r) = -4*r - 3. What is -6*n(h) + v(h)?\nAnswer: 2*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 7.00108. Let y = i - -0.24002. Let d = -0.224 + y. Round d to 3 decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -439861 or -439860?\nAnswer: -439860","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -23*i**3 - 46*i**2 + 46. Let d be ((-4)\/(-3))\/(332\/(-249)). Let u(o) = o**3 + o**2 - 1. Determine d*x(l) - 46*u(l).\nAnswer: -23*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -9332 (base 10) to base 9\nAnswer: -13718","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 0 - 1 - -10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -21 + -ac?\nAnswer: -cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**1)**(4\/7)*((s\/(s**9*s))\/s)\/((s*s**(-9\/2))\/s))**(-31) assuming s is positive.\nAnswer: s**(2139\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 26*n**2 + 56*n - 5. Let k be o(-28). Let p = -121546\/57 + 6398\/3. Let r = -2\/399 - p. Which is the closest to r? (a) -4 (b) k (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c + 2*c + 3*c**2 - 9*c - 12*c**2.\nAnswer: -9*c**2 - 11*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 4. Sort -4, -5, p, -1.\nAnswer: -5, -4, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/66 and 163\/60?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 459648?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - -1 - (31 + -11).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-3)*-2 - 286\/(-66). Let k be 189\/15 + (-2)\/(-5). Suppose -k + 53 = -m*r. Put -4, r, 0.3 in ascending order.\nAnswer: r, -4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33*a**2 + 27508*a - 707928.\nAnswer: 66*a + 27508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 3 = -5*f. Calculate the least common multiple of 14 and 199\/4 - f\/(-12).\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000584074 rounded to 5 dps?\nAnswer: 0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 48 = 5*h, 0 = 4*p - 0*p + 4*h - 240. What are the prime factors of p?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-21))\/(2\/(-4)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 1 (c) 17 (d) -188\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.8 + 15.8. Let p = -13.6 + u. Let l = -2.972 + -0.028. What is the closest to 0 in p, l, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p - 1. Let y(c) = 23*c + 2. Let i be y(1). Suppose s - i + 16 = 0. Let j be 6\/s*21\/(-2). Determine o(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 7, t: 5}?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6143283227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43.03 + 3.03. Let z = -41 - 16. Let o = m - z. Which is the second smallest value? (a) -0.2 (b) -2\/7 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n**4 + 3774*n**2 - 1015*n**2 + 2231*n**2)*(3*n - n + 0*n).\nAnswer: -10*n**5 + 9980*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -510*w**2 - 90361 + 90361 to n*w**2 + h + t*w and give n.\nAnswer: -510","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 4*h. Let r(u) = 365420*u. Calculate i(r(t)).\nAnswer: 1461680*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*l + d, 2*l + 7*d - 3*d = 22. What are the prime factors of 4\/(-14) - l\/(-35)*394?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*v**2 - 18*v**2 + 3*v**3 - v**3 + 0*v**3 as f*v**3 + s*v + n + t*v**2 and give t.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5539029*o*p**2 - 3529192*o*p wrt p.\nAnswer: -11078058*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 72\/(-32)*(-8)\/6. Suppose -2*j + 10 = x*j. Solve -j*n = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 231 - 234. Which is the closest to -0.1? (a) 0.6 (b) v (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**3 - 4 + 1 + 3 + 0*i**3 - 19*i**3.\nAnswer: -17*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b**2 - 17*b - 19. Let i(z) = -2*z**2 - 8*z - 10. Let k(m) = -5*i(m) + 3*r(m). Let h be k(12). Solve g = a + h*g - 3, 5*g = a + 6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(7))**2 - sqrt(7)) + 3 + (sqrt(7) - (sqrt(14)\/sqrt(2) + -4)).\nAnswer: -sqrt(7) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 176 - 181. What is the remainder when 95 is divided by 10\/n - 210\/(-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 7:45 AM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + (9 - -9) + (0 - -1) - -12?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(208) - (sqrt(208) - (sqrt(208) + 1)**2)) + 4 + -4)*3.\nAnswer: 144*sqrt(13) + 3762","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 59.4 - 59.4757. What is j rounded to three dps?\nAnswer: -0.076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 10:01 PM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 141, 5, -18, 0 in descending order.\nAnswer: 141, 5, 0, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 114 - 68. Put 0, 3, r in decreasing order.\nAnswer: r, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6814*j**5 + 7310*j wrt j.\nAnswer: 136280*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -3 - (49 - 47)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/5356 and 75\/788?\nAnswer: 1055132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 0*u**2 + 7*u**2 - 1 + 0*u + u. Let k be r(3). Suppose -4*l - l + k = 0. Calculate the remainder when 38 is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of r**6\/40 - r**5\/15 + r**2. Let v(s) = s**2. Determine 5*v(i) + x(i).\nAnswer: 3*i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s. Let q(k) = 1799*k**2 + 2*k - 6. Let a(h) = -8063121*h**2 - 8965*h + 26895. Let p(l) = -2*a(l) - 8965*q(l). Give d(p(r)).\nAnswer: -3586*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ykk when three letters picked without replacement from {y: 3, z: 1, k: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 306 - 206 = -10*y for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10826?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5151678963 to the power of 1\/2, to the nearest integer?\nAnswer: 71775","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/d**5*d*(d\/(d*d**(-19)))\/d*d assuming d is positive.\nAnswer: d**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.5 + -0.5. Let q = 2 + n. What is the closest to 0.1 in -2, q, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2892039 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/18)\/(3\/108*9)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of q**5\/15 + q**4\/2 - q**3 - 119*q**2. What is the tens digit of o(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11564 - -24535. Does 12 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 8 - g - 7)*(-147 - 406*g**4 + 147).\nAnswer: 406*g**5 + 406*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 4*b - 3*k - 5, -b + 2*k = -11 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 270 + -1354\/5. Let q = -7 - -9. Suppose -q*m - 5 = -15. Which is the closest to -2\/3? (a) 0 (b) v (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u - u - 40 = 0. Let t(p) be the second derivative of -1\/12*p**u - p**3 - 3*p - 3*p**2 + 0. What is t(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 917*u - 634. Let k be p(2). Solve 1197*y = k*y + 12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (91*l - 13*l - 3*l)*((4*l - 4*l - 3*l)*(2 - 4 - 7) + 0*l + 2*l - 4*l).\nAnswer: 1875*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2212111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + 4 + -8 + 6\/3. Let q(y) = -10 - 18 + 25 + y. Let f(u) = 1. Let b(w) = -w. Let n(j) = -b(j) + f(j). Give i*q(l) + 3*n(l).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101000000101 (base 2) to base 14.\nAnswer: 25db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 84 - 2064 = 193*c for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 3)*(-5 - 7 - 4)*(0 + 4*l - 7*l - 1).\nAnswer: -48*l - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 0.3, 1194, 0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26320*f**3 + 4*f**2 + 23*f + 44 wrt f.\nAnswer: 157920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(171)*2 + -1*(sqrt(171) - -2*sqrt(171)))\/(sqrt(81) - -5*(-4*sqrt(81) - sqrt(81))))**2 + 3.\nAnswer: 15571\/5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, v: 1, u: 1, n: 1, f: 1, o: 1}. What is prob of sequence of?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/18*3*-1*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24622 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19758 and 38591?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 254194001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from dcmeddcdmd?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 + -14. Calculate the remainder when (-4)\/(2\/(-33)*3) is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260924 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 784\/5*k**4 + 136\/5*k + 686\/5*k**5 - 268\/5*k**2 - 322\/5*k**3 - 16\/5 = 0. What is k?\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -12 + -2 + 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0901 and -504146?\nAnswer: 45423.5546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 227 divide 70484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9217)\/(-1418))\/((-99)\/(-88)*(-4)\/(-3)).\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**5 - 7*v**4 + 17*v**3 - 17*v**2 + 6*v.\nAnswer: v*(v - 3)*(v - 2)*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -487353210 divided by -5?\nAnswer: 97470642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 92597?\nAnswer: -5\/92597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 4:42 AM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(-2*sqrt(637)*1 + -4*(sqrt(637) + 0 + sqrt(637) - sqrt(637))) - (1*sqrt(637) + sqrt(637))*-6*3*6)*-3)**2.\nAnswer: 224756532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8214?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000019605 to 6 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1412768 divided by -1696?\nAnswer: 833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73601*z - 73601*z - 20*z**3.\nAnswer: -20*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 68084607 to the power of 1\/2, to the nearest integer?\nAnswer: 8251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -80, 368, 1112, 2152, 3488, 5120, 7048?\n\"Answer: 148*p**2 + 4*p - 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 + 14. Let w be (6\/g)\/(2\/(-30)). Let o(t) = t**3 - 9*t**2 + 4*t + 22. Calculate the remainder when o(w) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -c**6\/360 + c**5\/24 - c**4\/12 - 2*c**3\/3 - 7*c**2. Let s(w) be the first derivative of y(w). Calculate s(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 5*q - 75, -3*s + 121 - 91 = 5*q. Which is the closest to 2? (a) -6 (b) s (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -659*q + 597600 = -656*q. Round q to the nearest ten thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 27191 and 0.102?\nAnswer: 27190.898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.19850169 to three decimal places.\nAnswer: 0.199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179699 is divided by 29923?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8727 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: What is 2\/(-8)*2580\/12255?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 400 and 720?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 5*r + 394, w + 5*r - 45 = 152. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7 + 5)\/((-6)\/15). Suppose 3*q - a*q + 14 = 0. Let c = 97 - q. Does 18 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 + 4 - (-345)\/45)*3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 14*z**2 - z - 16. Let v be q(-14). Let a be (-17 + 1)*v\/4. Suppose 3*o - 7000 = a*o. Round o to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 953218317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 - 7*d)*(2*d**3 + 2 - 1 + 0*d**3 - d).\nAnswer: -14*d**4 + 7*d**2 - 7*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4561\/13 + 351. Let k = -2 + 4. Suppose 0 = k*h - 7 - 13. Which is the third biggest value? (a) -1\/5 (b) v (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 12:23 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 0*p + 4*p - 4*p - 4*p. Let q(d) = 6*d. Determine q(j(s)).\nAnswer: -24*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y + 3*y - 9*y)*(-1073*y + 1908*y - 1253*y + 7*y - 4*y - 2*y + 2*y + 4 - 4 + (1 - 4 + 5)*(-3 - 2*y + 3) - 4 + 4 - 2*y) as k*y + n*y**2 + w and give n.\nAnswer: 2947","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2629.\nAnswer: 11, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -23b46 - -283?\nAnswer: -23883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 857123 is divided by 348.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -569 - -565. Sort 0.5, -5, i, -0.1 in decreasing order.\nAnswer: 0.5, -0.1, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(175) + sqrt(7) - sqrt(4032)\/sqrt(9)) + (sqrt(28) + sqrt(252)*1)\/(4*sqrt(16)\/sqrt(4)).\nAnswer: -3 - sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 6*d + 1. Let y be (14\/4*-1)\/((-20)\/40). What is a(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 194229\/8 - 24279. Let p be 3\/(-18)*4*-1. Which is the closest to p? (a) 8 (b) l (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 390365 is divided by 1255.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 638852944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 46574\/35 - 6422\/5. Let z = p + -46. Which is smaller: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6988596 = -270*s + 132*s. What are the prime factors of s?\nAnswer: 2, 25321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3 - 0) + -2)\/((-19)\/76)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7 - -30)*(0 + 1). Let j(k) = -2 - 38*k - k**2 + o*k + 0 - 4*k**2 - k**3. What is j(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2717207 + 2717208.9690356. Let w = y - 1.0929935. Let i = 0.876 - w. Round i to 6 dps.\nAnswer: -0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**3 + 4*h**2 + 26*h + 20 = 0. Calculate h.\nAnswer: -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 392 and 2646?\nAnswer: 10584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -4*r**3 + 1308*r**2 - 142572*r + 5180116 = 0.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9863873.\nAnswer: 389, 25357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 32*i**2 - 21*i + 5. Calculate the remainder when v(2) is divided by 44.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8982, 17956, 26932, 35910, 44890?\nAnswer: 53872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + (4\/10 - (-851)\/(-592)). Which is the smallest value? (a) z (b) -6 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 9*g**2 + 11*g - 9. Determine v(7).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 44*i + i**2 - 1 - 43*i as w*i + z + b*i**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 261622547 and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3400*c**2 + 3380*c**2 + 3383*c**2 + 3438*c**2 - 17098*c**2 + 3386*c**2.\nAnswer: -111*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 36765 * -11\nAnswer: -404415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/17, -3\/7, -4\/3, -1\/4, 1\/9?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a millennium in years?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -78 - -78.4. Put -11\/4, o, 0.2 in ascending order.\nAnswer: -11\/4, 0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2696, -11034, -24960, -44474?\n\"Answer: -2794*h**2 + 44*h + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2443 - -2?\nAnswer: -2441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 4 (b) -2 (c) 5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = -5*b + 12. Let f(r) = 20*r**2 + 7*r + 7. Let y(j) = 21*j**2 + 8*j + 6. Let c(n) = b*y(n) + 6*f(n). What is the second derivative of c(l) wrt l?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 6, r: 1, c: 2, f: 4}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4366167 and 273.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-75)*340\/136*(-42)\/20\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzaa. What is prob of sequence az?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 686 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 6*s**2 + 36*s + 10. Calculate the remainder when a(0) is divided by (-3)\/((-10)\/4 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004519 rounded to seven decimal places?\nAnswer: 0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 9, -23, -29, -9, 37, 109?\n\"Answer: 13*z**2 - 71*z + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16524127209 - -2.7074.\nAnswer: 16524127211.7074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 40, 60, 74, 76?\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**3 - 6*g**2 + 9*g = 0. Calculate g.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33995995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 264573536 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1050\/56)\/(18\/8 + -2). Suppose -15 = 3*w - s. Let o(k) = 13*k + 15*k + w*k - 50*k. Let v(i) = 27*i. Calculate o(v(p)).\nAnswer: -54*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**3 + 10*k**2 - 4*k - 7. Let a be p(-5). Solve a*x + 6 = 58 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2*((-5*(sqrt(1568) + -2) - (1 + sqrt(1568) + sqrt(1568) + 0)) + 0))**2.\nAnswer: -10976*sqrt(2) + 307524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 10:23 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -14917781, -29835570, -44753359?\n\"Answer: -14917789*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(19)*2)**2 - sqrt(19)) + 3)*-5*-5.\nAnswer: -150*sqrt(19) + 11850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -66, -61, 118, 573, 1406?\n\"Answer: 17*h**3 - 15*h**2 - 69*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 3*y**2. Let z be x(-3). Let t = 110 - 105. Solve -2*c + 0*c = -3*g - 5, z = t*c + 3*g + 40 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*y + 157*y**3 - 3*y - 159*y**3 in the form l + j*y**2 + n*y**3 + v*y and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1698 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 41828863.4 - 8219.\nAnswer: 41820644.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 65 + t**2 - 12*t - 18 - 6*t + 5. What is the remainder when 102 is divided by z(17)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15802654*g**2 + 125768*g + 26.\nAnswer: -31605308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i. Let p(c) be the second derivative of -1\/2*c**2 + 0 - 2\/3*c**3 - 116*c. Determine o(p(m)).\nAnswer: 12*m + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 + 46 = -3*u - 2*f, -105 = 5*u - 4*f - 136 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 840?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/1140 and 103\/170?\nAnswer: 19380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 4*q - 9, -6*g + 3*g - 4*q = -11. What is the remainder when 1*156\/16 - (-66)\/(-88) is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3250 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(275)*3 - (sqrt(99)*-1)\/sqrt(9)).\nAnswer: 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -k**4 - 47*k**3 - 41*k**2 + 227*k - 138 = 0.\nAnswer: -46, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10442321 (base 5) to base 11.\nAnswer: -64245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.814887281 rounded to 2 decimal places?\nAnswer: -0.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 443485?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -207 - -623\/3. Let m be 1 - 1\/(6\/14). Let n = -0.1 - 0.2. Which is the closest to z? (a) n (b) m (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 2:40 PM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f - 7 + 3 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 4*v - 4, u - 3*u = 4*v - 8. Suppose -h + v = -5*n + 12, 52 = 4*h + 5*n. What is the remainder when 14 is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1446 - -326\nAnswer: -1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of 5*x**6\/6 - 2*x**3 + 4. Find the third derivative of k(s) wrt s.\nAnswer: 300*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.6 - 0.4. Let m = -5 + 5.3. Let b = 0.053 + -0.553. What is the closest to 0 in b, m, i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o**2 + o**2 + 4*o**2 + (-2 - o + 2)*(9 - 9 - 7*o) - 16*o + 16*o - 6*o**2 - 2*o**2 + 2*o**2 + o**2.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pzab when four letters picked without replacement from psszpmsapspapbszpbsb.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 8:33 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -169.18870515268 - 0.12.\nAnswer: -169.30870515268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -57*i**4*v + 2*i**3*v + 2*i**2*v + i**2 + 2*i*v - 731864*i - 2*v + 2 wrt i?\nAnswer: -684*i**2*v + 12*i*v + 4*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 - 5*q + 3. Let y be r(5). Let x be 6\/39 + (-123)\/39. Put y, -4, x in decreasing order.\nAnswer: y, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 4*x - 32, -x = -b + 3*x - 19 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -2, 6 in descending order.\nAnswer: 6, 2\/13, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 9, j: 6, c: 1, s: 1, t: 2}. What is prob of picking 1 a and 1 t?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 27\/5 of a microgram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 17 = -4*q + 1, 5*w - 16 = q for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) 1\/11 (b) 1 (c) 0 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/871 and -11\/670?\nAnswer: 8710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 16025551*y**2 - 16025550*y**2 - 18.\nAnswer: y**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 80179539\/38 or 2109989?\nAnswer: 80179539\/38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 34\/(-10) + 12\/(-20). Let l = w - -20. What is the greatest common factor of 112 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a millisecond in microseconds?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -70*x**2 - 61*x + 26. Is d(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 7:17 PM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15254791?\nAnswer: 15254791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r + 6. Calculate a(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, e: 6}. What is prob of picking 1 v and 2 e?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-6))\/(12552\/(-18828)). Let q(s) be the first derivative of -1\/2*s**2 + 1 - 13\/4*s**4 - s - 1\/3*s**3. Give q(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*k**4 + 62*k**2 - 480*k - 389507 wrt k.\nAnswer: -12*k**3 + 124*k - 480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -651 greater than or equal to -133839\/206?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 3*l**3 + 28.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3032?\nAnswer: 2, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.37 + 0.03. Suppose 4*y + 3*c - 57 = -0*y, 12 = 2*y - 4*c. Let z(w) = -w**2 + 13*w - 11. Let h be z(y). What is the biggest value in h, p, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 291848*h**3 - 2397050*h**2 + 6505176*h - 5841576.\nAnswer: 2*(4*h - 13)*(191*h - 474)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -90 divided by -6?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 10:07 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 11:43 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.178 to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1506)\/(-26355)*5\/6.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5883\/(-106))\/(2 - 31\/14). Let h = -261 + q. Sort 1, -4, h in descending order.\nAnswer: 1, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10896 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 11*m**2 + 17*m + 11. Let p be x(9). Let t(i) = 20*i - 28. Let z be t(p). Solve 0 = -4*s + 2*l - z, -l = -4*s - 3 - 13 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003015 to 5 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -0.3, -50.\nAnswer: -50, -1\/3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 832*n + 4 - 832*n - 4*n**2 + 16*n**3. List the prime factors of r(2).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -3, 3.\nAnswer: -3, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7\/28 + 110\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 1670, -3, -4 in decreasing order.\nAnswer: 1670, -3, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 230 + 291 - 11*n**2 - 517.\nAnswer: -11*n**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 40548765?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 66 - (6 + -1 - (10\/(-2) - -10)). Solve -71*j - 10 = -u*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 4*a - 2*k, -33*k = -a - 28*k + 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -9*(1 + 8\/(-6)). Let k(v) = v**3 - 6*v**2 + 2*v - 9. Let s be k(6). Let d(g) = 2*g - 3. Let z be d(s). Solve 0 = -m*t - z + 15 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3345 + 61)*(-3)\/6. Which is smaller: -1701 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 179.\nAnswer: -6\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 x when four letters picked without replacement from {q: 8, x: 6, h: 3, w: 1}?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-20))\/((-9)\/(-96)*4)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -26644*r. Let q(a) = -a**2. Determine d(q(h)).\nAnswer: 26644*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3914 and 47733908.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9477*j**3 - 3240*j**3 - 3311*j**3 - 3184*j**3.\nAnswer: -258*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 30*w**4 - 212141*w + 20374903?\nAnswer: 120*w**3 - 212141","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 110110001?\nAnswer: 110110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 7*t**2 + 3*t + 5. Let h be ((-10)\/(-10))\/(2\/8). Let y be s(h). Let n = -84 + y. Calculate the remainder when n is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153389224?\nAnswer: 2, 19173653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2954)\/211*((-3)\/((-42)\/16))\/(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) - (sqrt(85) + (sqrt(85)*-3 + sqrt(85))*-2))\/sqrt(5) + (sqrt(170)\/(1*sqrt(10)) + sqrt(425)*-4)**2.\nAnswer: -4*sqrt(17) + 6137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/13 (b) 2\/3 (c) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, p: 5, t: 3}. What is prob of sequence pp?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14\/3? (a) -0.4 (b) 4 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 11. Let s(i) = -i**3 - i**2 + i + 4. Let q be s(0). Find the second derivative of -v**5 - v**5 + q*v**5 - 5*v - 4*v**h wrt v.\nAnswer: -40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y**2 + 0 + 0)*(311 + 309 - 620 - 210*y) in the form h*y + x*y**2 + q*y**3 + f and give q.\nAnswer: -420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 4. Suppose 10 = -d*q + 7*q. What is the second derivative of 3*f - 2*f**2 + 4*f**2 + 0*f - f**q wrt f?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5662978*b + 3336795 with respect to b.\nAnswer: 5662978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-3*(sqrt(132) - (sqrt(132) + (3*sqrt(132)*3 - sqrt(132)) - sqrt(132))))\/(6*(sqrt(432) + -3*sqrt(432))).\nAnswer: -2 - 7*sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 6*u**2 - u. Let s be h(-7). Let q = 151 + s. What are the prime factors of q?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 33, 230, 765, 1806, 3521, 6078, 9645?\n\"Answer: 28*q**3 + q**2 - 2*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42 + -37. Calculate the remainder when 8 is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/14220 and 3\/1241011?\nAnswer: 223381980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*b = 54 + 557 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 99317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61168071?\nAnswer: 3, 20389357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 870990, 870991, 870992, 870993, 870994, 870995?\n\"Answer: a + 870989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -379115\/34 - -11153. What is the common denominator of q and 1 + -2 + (-226)\/(-32) + -2?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2504952 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 11:41 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/22621880 and -67\/55?\nAnswer: 248840680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3*m + 5*m)*(1876 - 1584 - 1591).\nAnswer: -2598*m - 1299","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44012276?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18675454223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -4855 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {z: 1, a: 8, v: 8}?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 4:53 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -23*g**7\/840 + 5*g**6\/72 + 4*g**3 + 16. Let k(l) be the third derivative of v(l). Find the third derivative of k(q) wrt q.\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 + 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m**2 + 51. Let p(g) = -2*g**2 + 53. Calculate -3*k(n) + 4*p(n).\nAnswer: -2*n**2 + 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**3 + o**3 + 2*o**3 + (-3*o**2 + 3*o**2 + o**2)*(-3*o + 1 - 1) + 4 - 4 - 4*o**3.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that i**4\/3 + 237482*i**3\/3 - 19*i**2\/3 - 4512128*i\/3 + 2374820 = 0.\nAnswer: -237482, -5, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1271, 994, 235, -1246, -3689, -7334, -12421?\n\"Answer: -40*j**3 - j**2 + 6*j + 1306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 3:49 AM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 24 - 22868\nAnswer: -22844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.84? (a) -7 (b) -0.939 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -11*f + 125. Let w be j(5). What is the greatest common factor of 112 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3*h - 1)*(6*h**2 - 6*h**2 + 10*h**2) + (0*h - h + 2*h)*(5*h**2 - 2*h**2 - h**2) to r*h**2 + g*h + u + l*h**3 and give l.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.018 - -0.178. Is z at most -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*g - 100 = -15, 4*g = -2*m + 54. What is the highest common factor of m and 725?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 11*s**3 + 9*s. Let n(h) = 8*h**3 + 7*h - 3. Let b(j) = -j**3 - j + 1. Let f(y) = -3*b(y) - n(y). Let d be 8\/(2\/(-4)*-4). Calculate d*w(v) + 9*f(v).\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-180)\/(-16))\/(2\/8). Let i be ((-1 - 1) + 0 + 1)*w. Let p = i + 56. What is the smallest common multiple of p and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 5*z**3 - 10603675*z**2 - 10603690*z + 21207360 = 0.\nAnswer: -2, 1, 2120736","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 140\/385*-11*50\/(-8)*1?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**2 - 12*j + 3. Let b be r(6). Let g(z) = 14*z**3 - 2*z**2 - 2*z - 3. List the prime factors of g(b).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + 2 + sqrt(1331) + 0).\nAnswer: -44*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 2. Suppose y + 4 = 3*d - 16, 0 = -u*y - 25. Suppose 237000 = d*f - 2*f. Round f to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -53*g**2 + 55*g**2 - 4*g**3 - 8*g**3 + (-g + g - g**2)*(3*g + 2*g - 7*g) + g**3 + g**3 + 0*g**3.\nAnswer: -8*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oatm when four letters picked without replacement from {m: 2, u: 1, r: 2, o: 3, t: 1, a: 6}.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, -1\/8, 1.8, 0.4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 623286.9 hours in microseconds?\nAnswer: 2243832840000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6704698 divided by 442\nAnswer: 15169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/4))**(-36)\/((u\/(u**(-19)*u))\/(u**23\/u*u)) assuming u is positive.\nAnswer: u**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 1:07 PM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11649750*u**2 - 4366*u + 389.\nAnswer: -23299500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 11*c + 26. Let i be h(-13). Let y be (i - 0)\/(20\/(70\/(-7))). Solve s + 0*s - 5 = y for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -12. Suppose -a*m = -98 - 145. Solve 0 = -2*s - 2*l - 12, -1 = 3*s + 5*l + m for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/(-348) + (51\/68 - 1) and 34\/27?\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44 + 41. Let m(y) = y**2 + 5*y. Determine m(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 6*(sqrt(2299)*-3 + -4)*-5)**2.\nAnswer: 227700*sqrt(19) + 18635125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 19, 2, 4, 0 in decreasing order.\nAnswer: 19, 4, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -233*u = -227*u. Suppose 72 = 5*c + 3*j, -3*c - 4*j = -u*j - 41. Let m = 184 + -79. What is the highest common divisor of m and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-6734)\/(-945) - (-44)\/(-55)\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 7*r**3\/5 - 149*r**2\/5 + 518*r\/5 - 136\/5 = 0?\nAnswer: 2\/7, 4, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 810929261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/16 of a meter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6445 = -247*g + 224 for g.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -13, 2, -0.1, -102?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**1*d)\/(d*d*d\/((d**6*d)\/d)*d)*d**(4\/5)\/((d**(3\/2)*d)\/d))\/(d**(1\/3)\/d*d**(-1\/4)*d)**(-2\/53) assuming d is positive.\nAnswer: d**(2626\/795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 876.01 + -880. Let p = i - -4. Let m = 2.99 + p. Put m, 0.5, -3 in ascending order.\nAnswer: -3, 0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2876*m - 11949*m + 3695*m + 5749 with respect to m.\nAnswer: -5378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + -9. Let d = -16 - c. Let h = 3 - 8. What is the second biggest value in h, d, 0.01?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-68)\/44)\/(117\/1287)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*a**2*t**2*x - 4*a**2*t**2 + a**2*t + 38*a*t*x - 2*x wrt t.\nAnswer: 42*a**2*x - 8*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = d - 3*l + 28, 2*d + 2*l + 6 = 0. Let t = d + 10. Let w = 755.9 + -756. Which is the nearest to w? (a) -2 (b) 1\/5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -484*q - 2420 - 1060 = -1014*q + 410*q for q.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 7*m + 5. Let g be b(0). Let w(q) = 62*q + g - 28*q - 31*q. Give w(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 2 - 0) + (60 - 66) - -14.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 96, 192, 288, 384, 480, 576?\nAnswer: 672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 30953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 9. Let r(j) be the third derivative of -j**6\/720 - 7*j**5\/120 - 13*j**4\/8 - 33*j**2. Let y(t) be the second derivative of r(t). Give y(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6612 + -5288. Round y to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*v - 21 - 47 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -1033?\nAnswer: -1033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1843*l - 4 - 3 - 3.\nAnswer: 1843*l - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -8*d + 4*d. Suppose r = 5*n + 293, 2*r - d*n - 600 = -0*n. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001662501965 rounded to five decimal places?\nAnswer: 0.00166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 334, -2, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 4776 = 3*m, -4*m + 6*c + 6368 = 10*c. What is the greatest common divisor of 8 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of 57*g**4\/8 - 5*g**3\/3 + 17*g**2. Let f be y(3). Let s = f - 311. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in v**2 + 13869094*v + 48087942095209 = 0?\nAnswer: -6934547","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.182418 weeks to microseconds.\nAnswer: 110326406400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 1, 16, 5, -8, -11.\nAnswer: -11, -8, -4, -1, 1, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, w: 1, r: 2, f: 1}. What is prob of picking 1 w, 1 r, 1 g, and 1 f?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 156 and 24?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-3) - 5\/(-3). Let l(v) = 5*v - 4*v + y*v. Let d(o) = 5502*o**2 - 10972*o**2 + 5477*o**2. Determine d(l(j)).\nAnswer: 63*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -25733 and 8.\nAnswer: -205864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -y**6\/60 + 1183*y**5\/30 - 4747*y**4\/24 + 3*y**2 + 3*y + 173. Find the second derivative of g(r) wrt r.\nAnswer: -12*r + 4732","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -4. Let z be -2*(-2*21\/36 + 1). Let o = -1 + 1.1. Which is the nearest to o? (a) q (b) -4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 4. Let k = -1 + b. Suppose 0 = 2*a - 0*a + 6, -3*o - 2*a + 15 = k. Solve -3*i + o = -4*s, 2*s + 7 = -4*i - 13 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 8 = 7*f. What is the nearest to 0 in -4\/7, 3\/7, f?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from keeeeekeeeeeeekkee. What is prob of sequence ekk?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 62254 in -3, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -391500, -783007, -1174518, -1566033, -1957552, -2349075, -2740602?\nAnswer: -3132133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 38618.951?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -281.\nAnswer: -3\/281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z. Let d = -56 - -62. Let o(u) = -5*u - 1. Let q(s) = s**3 + 8*s**2 + 7*s + 1. Let i be q(-7). Calculate d*k(v) + i*o(v).\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(3\/4)\/f)\/f)\/f*f*(f**(-1\/7)\/f)\/f assuming f is positive.\nAnswer: f**(-67\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - r + 1. Let q be k(0). Solve 4 = 3*j + q for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pmm when three letters picked without replacement from {m: 3, p: 7}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - -6. Let r = 9831 + -9828. Solve -16 = -5*l + r*n, 4*l - n + f = 26 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 1942*p + 1. Let i(q) = -12*q**2. Calculate i(m(y)).\nAnswer: -45256368*y**2 - 46608*y - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 116 - 116. Suppose -g + 3*b + 25 = 0, m*b - 3*b = 2*g - 95. Calculate the greatest common divisor of 8 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*x + 32 = -12*x. Let q be x*(-3 + (-267)\/(-90)). Let j(f) = f**3 + 4*f**2 + 2*f - 2. Let w be j(-3). Are q and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1533, -3052, -4521, -5916, -7213, -8388, -9417, -10276?\n\"Answer: 4*u**3 + u**2 - 1550*u + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 9*a + 253 - 1855. Calculate the remainder when a is divided by 53.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 364?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 7 * -353674.57\nAnswer: -2475721.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 361 - -16?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y + 3*r + 4, r = 5*y - 2 - 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 133 + -3859\/29. Let b = -0.383 + 0.183. What is the nearest to 0.1 in b, 0.3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 6. Suppose -56 = -4*d - b*d. Let j = 14 - d. Solve j = 2*q + 2*q - p - 9, -3*p + 6 = -q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c + 21 = -10*c + 4*t, 5*c + 5 = 2*t. Suppose -f - 3 = -0. Put -25, f, c in decreasing order.\nAnswer: c, f, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9463966?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/98190 and -149\/1602.\nAnswer: 8738910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*m - 9. Let b be (-6)\/(54\/45) + 14. Sort m, 5, b.\nAnswer: m, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-10))\/((-2)\/(-4))*122\/((-16592)\/9010)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of 1\/2*m**2 + 7\/3*m**3 + 4 - 1\/4*m**4 + 2*m. Let n be i(5). Calculate the greatest common factor of n and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, j: 2, z: 3, e: 1, m: 6}. What is prob of picking 1 e and 1 q?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (60\/(-9))\/(-5) + (-2)\/6. Let b = f - -1. Solve -b*u = 3*u - 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - -4.0379.\nAnswer: -0.9621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -64.9 + -74886841213.\nAnswer: -74886841277.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - sqrt(35)\/(sqrt(7)*3)) + -3.\nAnswer: -3 + 2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -12*d**3 - 6*d**2 + 7*d - 13. Let p(a) = 25*a**3 + 12*a**2 - 15*a + 26. Let r(k) = 9*h(k) + 4*p(k). Is r(-6) 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 301752 and 339471.\nAnswer: 2715768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2*sqrt(112))**2 + -1 + -2*sqrt(175)*-4 + -1.\nAnswer: 40*sqrt(7) + 894","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 43*w**2 + 2*w. Let j = 6963 - 6970. Let k(r) = 21*r**2 + r. Determine j*k(y) + 3*f(y).\nAnswer: -18*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**2 + 2*n - n + 4 + 9*n. Let r be q(-5). Solve -r*c - 12 = -0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -0.32.\nAnswer: -0.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1914597 at most as big as 1914643?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 807 + -493. Find the third derivative of 310*x**2 + 5*x**5 + 14*x**5 - 5*x + 0*x + x**6 - u*x**2 wrt x.\nAnswer: 120*x**3 + 1140*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -45 (b) -11 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -2 - 6. Let q be (1 - 1) + y + 13. What is the highest common factor of 55 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82309203077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155521 is divided by 49?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/8, 12\/13, -2, -21\/59, 7?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-38)\/(-6))\/((570\/(-9))\/(-5) - 13).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3859?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 299585?\nAnswer: 5, 11, 13, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50898*h**3 - 51693*h**3 + 103104*h**3 - 3*h.\nAnswer: 513*h**3 - 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -163, -171, -181, -193, -207, -223?\nAnswer: -241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 535625107 to the power of 1\/3, to the nearest integer?\nAnswer: 812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1152, 1107, 1046, 969, 876, 767, 642?\n\"Answer: -8*d**2 - 21*d + 1181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of -c**4\/12 + 27*c**2 - 16*c. Let a(n) = 3648*n. What is b(a(u))?\nAnswer: -7296*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 divided by 34?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-eight thirds of a hour in seconds?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -36 - 152. Calculate the smallest common multiple of f and 7.\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 33*l + 18. Let j(c) = -17*c - 10. Determine -5*j(g) - 3*u(g).\nAnswer: -14*g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**4\/k)\/(k**(-5\/4)*k)*((k*k\/(k**(1\/2)\/k)*k)\/k)\/k**(2\/9)*((k\/(k*k*k\/(k**(-3\/4)\/k)*k))\/k**(-6))\/((k**(-1)\/k)\/k**(-2)) assuming k is positive.\nAnswer: k**(61\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8382*j - 8510*j = -11776 for j.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 864 divide 554688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1045173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from {p: 5, b: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -6*x + 13. Suppose -v + s + 2 = 0, 4*v - 10 = -0*v + 2*s. Solve -3*b = v + x for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 131?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h + 5*k - 8, 7*h + 10 = 10*h + k for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (27\/4)\/(10\/(-40)). What are the prime factors of (8\/(-3))\/(18\/y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + a + 164, 204 = 4*h + h - a. What is the highest common factor of 4 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -77*i**4\/4 - 622*i**2 + 2602. What is the second derivative of r(g) wrt g?\nAnswer: -462*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3321922391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -897780534+114\nAnswer: -897780420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6, 50, 148, 288, 470, 694, 960?\n\"Answer: 21*u**2 - 7*u - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22\/5 + 103\/20. Sort u, -9, -0.3 in ascending order.\nAnswer: -9, -0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198258?\nAnswer: 2, 3, 173, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 4*q**2 - 104*q + 611. What is the remainder when 456 is divided by j(5)?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 12914*s + 26087. Give f(-2).\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n**2. Let q = -79 + 79. Let s(x) be the third derivative of q*x**3 - 1\/30*x**5 + 0 + 0*x**4 + 0*x + x**2. What is u(s(k))?\nAnswer: -12*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 600\/240*504\/90?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 16) to base 14.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31850 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*l = -7*i + 15*l + 5, 2*i + 25 = -5*l for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 8 = 0, -n - 2*q = n - 18. Sort n, 3, 2 in descending order.\nAnswer: n, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59283 (base 14) in base 12?\nAnswer: -a58ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/178416394 and 67\/273156.\nAnswer: 1070498364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d**3 + 4*d**3 - 3*d**3 + (-2 + 1 - 1)*(-2*d**3 - 5*d**3 + 4*d**3) + (-2*d - 2*d**3 + 2*d)*(30 - 10 - 66) as m*d**3 + o*d + a + r*d**2 and give m.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 466566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 8, 4, 3, 39.4, 9?\nAnswer: 39.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1447 (base 10) to base 15\nAnswer: -667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 30411 to the nearest one thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/7610 and -9\/79795?\nAnswer: 121447990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 4*z - 4*z - 38 + 52, c = -3*z + 19 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15032 + 2?\nAnswer: -15030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2754 and 702?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of 4*s**5\/5 + s**4 - 152*s**3\/3 - 72*s**2 + 288*s + 1381. Let z(t) = 0. Calculate t.\nAnswer: -6, -2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.16 - 2.96. Let j = v + -1.7. Let a = -5 - j. Sort -2, 1\/6, a in decreasing order.\nAnswer: 1\/6, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -832 + 834. Factor 12\/5*p + 2\/5*p**c + 18\/5.\nAnswer: 2*(p + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 967470 by 2.\nAnswer: 483735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of 0*p**2 - 22*p**3 + 0*p - 90 + 49\/4*p**4. What is the third derivative of k(c) wrt c?\nAnswer: 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((x - 1 + 1)*(1 - 3 + 3) + 1 - 1 + x)*(4 + 1 - 6).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 + -7.5. Let n = r + -30.4. Let l = 19 + n. Round l to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h. Suppose x - 4*x + 9 = 0. Let g(o) = 3*o - 1. Let a be g(x). Let s(n) = -4*n**2 + a*n**2 - n**2. What is c(s(q))?\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**23*(u*(u*u**(1\/14))\/u*u)\/u assuming u is positive.\nAnswer: u**(351\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*7*(-4)\/14*-1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1079.\nAnswer: 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 4*z. Let q be t(1). Let l(r) = r**3 + 8*r**2 + 6*r - 7. Let m = -24 - -17. Let v be l(m). Solve -5 = 5*i + 4*w, v = q*i + 2*w - 5*w - 27 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (((-112)\/12)\/4)\/(4\/(-216)). Calculate the greatest common factor of v and 1071.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**3 + 3502 - 7003 + 3501.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 12 + -16 + 11 - (-15 + -1).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*r - 475 = -c + 152*r, 0 = -2*c - 5*r - 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*o - o. Let n = -155 - -160. Suppose 8 = -0*m + 4*m. Solve -4*i = n*z + o, m*i = 4*z - 2*i + 8 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -1, -153.\nAnswer: -153, -1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-684)\/(-152) - (0 + -1 + 4)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 5*p - 110. Let f be i(21). Let k(z) = z**2 + 4*z**3 - 5*z - z - 7 + z. Let v(m) = -3*m**3 - m**2 + 4*m + 6. Calculate f*v(r) - 4*k(r).\nAnswer: -r**3 + r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53 + -25. Suppose 0 = 3*h - 1 + u. Let s be h\/15 - (-39)\/15. Solve s*g + 2 = 3*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.00565 + -10.00535. Let c = -0.037 - -10.037. Let d = p + c. What is d rounded to 3 dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 8*u**2 + 6*u + 2. Let w be m(-2). Suppose -6*y - w = 56. Let o(r) = -11*r. Is o(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6999\/7 greater than 1000?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -637*m + 3. Let i(q) = q. What is i(d(c))?\nAnswer: -637*c + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - -11. Suppose -16*c + 9*c = -14. Calculate the smallest common multiple of c and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19633867 and 13871?\nAnswer: 1067","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -3*h + 11. Let x be z(5). What is the common denominator of 85\/18 and x\/(-14) - 12\/16?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 41 - 46 + 38 + 5*b - 14*b in the form d + f*b and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 10:40 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**2 + 1 + 8*l**2 - 7 + l**3. Let z be t(-6). Let d be ((-2)\/(-4))\/(z\/(-20)). Which is the nearest to 1? (a) d (b) -1\/10 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 29826 and 165308948?\nAnswer: 1487780532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -99 at least as big as -125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 232305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*k + 5*h - 25 = -20*k, 25 = -3*k + 5*h for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 * -6.0904.\nAnswer: 66.9944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 + 3*q + 2. Let s be p(-3). Let l = 4 - 3. Differentiate l + s*v**2 - 3 - 1 with respect to v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*x**2 - x**2 + 627 - 627 as j + v*x + z*x**2 and give z.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 59116, 118318, 177520, 236722, 295924, 355126?\n\"Answer: 59202*o - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 - -9. Let w = m - -63. Let s = 41.000027 - w. Round s to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/29, -0.3, 2\/15, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -58, 6, -2 in decreasing order.\nAnswer: 6, -2, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 16 * 30\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -19, -37, -39, -19, 29, 111, 233, 401?\n\"Answer: j**3 + 2*j**2 - 31*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2. Let c(h) = -46339590*h - 2. Calculate c(i(p)).\nAnswer: -92679180*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 281*k**2 - 23*k - 20. Let w be o(19). Let s = 169984 - w. Round s to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + 8*m - 1. Let u be (1 + 10\/(-6))*-12. Let l be f(u). Let o(b) = -4099999*b**2 + 2*b + 1. Let c be o(l). Round c to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/80 and 161\/270.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8526*k = 23*f + 8544*k + 164, 3*k + 12 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 49*b**2 - 114*b + 26. Let l(f) = 8*f**2 - f + 2. Determine 6*l(t) - r(t).\nAnswer: -t**2 + 108*t - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**3 + 46*n**2 - 41*n - 24. Is m(22) a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 112*h**2 + 1. Let z(a) = -6*a - 86. Let p be z(-16). Let q(k) = -4*k + p*k - 8*k. What is q(j(i))?\nAnswer: -224*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 100 - 96. Suppose -4*n = -0*n - 4, 93 = d*j - 3*n. Calculate the remainder when 188 is divided by j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ycyyycyryccycryrccy. What is prob of picking 1 y and 1 r?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -273.8101 - -274. Let a = l - 0.19. What is a rounded to 5 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44467, 44470, 44475, 44482, 44491, 44502?\nAnswer: 44515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -3\/7573 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = -5*g - 12. Calculate the greatest common factor of g and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -9*r - 64. Let d be v(-7). Let z(m) = m - 1. Let i(n) = -4*n + 12. What is d*i(t) - 12*z(t)?\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/55 and 36\/750 + (-5)\/25.\nAnswer: 1375","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -46434\/13, 9 in ascending order.\nAnswer: -46434\/13, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/105 and 80\/(-60)*(2 - 483\/360)?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 51 - 31. Does 5 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -171 (base 12) to base 3.\nAnswer: -22111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1924560 divided by -144.\nAnswer: 13365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - z + 37 = 0, -6 - 22 = -2*s + 4*z. Solve -a = -s*a - 7 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s - 3 + 4 + 0. Let n(y) = y**3 - 6*y**2 + 7*y - 3. Let b be n(5). Is 11 a factor of t(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4, -99343, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 239\/(-85) + (174 - (-158792)\/(-920)).\nAnswer: -24\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 11851*s**3 + 3*s**2 + s - 7. Let f be (-3 + 2)\/(1\/(-3)). Let y be u(f). What is y rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2*v - 4 = 0. Let p be (-10)\/v*24\/40. Suppose h - 8 = -h. Solve p*f + h = 4*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-10)\/z)**(10\/11)*((z*z\/(z*z\/(((z*z**(-7)\/z)\/z)\/z)))\/z*z)**8 assuming z is positive.\nAnswer: z**(-892\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {r: 2, w: 2, h: 1, z: 4}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -0.1, 0.1, 0 in decreasing order.\nAnswer: 0.1, 0, -0.1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 996 a factor of 5623799460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -52382 (base 12) to base 9.\nAnswer: -173618","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 518486*t**3*v + 373814*t**3 wrt v.\nAnswer: 518486*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 0. Let r(k) = k + 13. Let f be r(s). Suppose 2\/3*o**2 + 4\/3*o**f + 0 + 2\/3*o**4 + 0*o = 0. Calculate o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -64, -57, -38, -1, 60, 151, 278?\n\"Answer: h**3 - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - i + 21 = 14, 0 = 3*n - 3*i + 3. What is the closest to n in -1\/3, -5\/4, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1770 - -2565. Let u = h - 164. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l\/(l*l**1)))*l)\/l)**6\/(l**(2\/3)\/((l\/(l\/(l*l\/l**(-1\/3))))\/l*l))*(((l\/l**0)\/l)\/(l\/(l*l**(-5))*l))\/(l*l**(-5)*l**0\/l*l) assuming l is positive.\nAnswer: l**(-19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - k - z + 96 = 0, 3*k + 5*z + 49 = 0. Which is bigger: k or -24?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0912882743 rounded to 5 decimal places?\nAnswer: 0.09129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of j**5\/270 + j**4\/27 + 4*j**3\/27 - j**2 + 2*j. Let a(v) be the first derivative of b(v). Factor a(g).\nAnswer: 2*(g + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 67a03 (base 11) to base 8\nAnswer: 300110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 j when two letters picked without replacement from jtypq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3910, 7734, 11558, 15382, 19206, 23030?\n\"Answer: 3824*k + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 843.7 + -833.7. What is the second biggest value in 0.1, -1, v, 2\/319?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3632, -3627, -3622, -3617, -3612?\n\"Answer: 5*h - 3637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -579.51417 from -8673.\nAnswer: -8093.48583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.365663 rounded to two dps?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-30))\/(3\/30).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3857 and 9338.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -408815478 divided by 6\nAnswer: -68135913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -10*s. Let p be x(-6). Let k be (-95)\/p - (-2)\/6. Which is the biggest value? (a) k (b) 4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 5:18 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-360)*425)\/(30\/(-36))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from ppjpjjpppppppppp.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*g**2 + 20*g - 209*g**2 + 12*g - 32*g.\nAnswer: -151*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -797.0597 - -797. Which is bigger: 1\/4 or k?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 1)*(2*n + 6*n - 5*n)*((-2 + 2*n + 2)*(4*n - 4*n - n) - 2*n**2 - 2*n**2 + 2*n**2) to the form y + i*n**3 + d*n**2 + f*n and give i.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42163, 4, -6 in descending order.\nAnswer: 42163, 4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 738007637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 435*d. Let g(u) = 7*u. Give s(g(b)).\nAnswer: 3045*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -208 less than -200?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -1. Let s(d) = -9*d - 17. Let u(q) = -s(q) - 2*y(q). Let w(h) = 4*h - 42 - 60 + 111. What is 6*u(l) - 13*w(l)?\nAnswer: 2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8425*s + 17936 = -6183*s for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-180)*(-288)\/(-24)*-48.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**8\/s**7*s\/(s\/s**29)*s\/(s**16\/s)*s*s assuming s is positive.\nAnswer: s**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 693, 468, -139, -1320, -3267, -6172?\n\"Answer: -32*o**3 + o**2 - 4*o + 728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -a**5\/40 - 7*a**4\/24 + 11*a**3\/3 - 451*a. Suppose h(f) = 0. Calculate f.\nAnswer: -11, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 139314200 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - m + 20 = 0, -3*v + 3*m = 15. Solve 4*s = i + 15, -14 = -v*s - 3*s - 2*i for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -2*q**5 - 22*q**4 - 12*q**3 + 316*q**2 + 14*q - 294 = 0.\nAnswer: -7, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from voovvv. Give prob of sequence oo.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 + ((-3861)\/11)\/(-13). Solve -15 = 6*a - p for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -1. Let g(b) be the third derivative of -b**4\/24 - 8*b**3\/3 - 919*b**2 - b. Give g(u) + 2*q(u).\nAnswer: -u - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70 (base 12) to base 4.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/63 of a week?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -7*m**4\/24 + m**2. Let z(i) = i**2 - 7*i + 4. Let p be z(7). Let d(b) = -p + 1 + 2*b + 3. Determine d(x(y)).\nAnswer: -14*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -27*f**2. Let n(g) = -6*g. Determine h(n(k)).\nAnswer: -972*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -s**5\/150 - s**4\/30 - s**3\/15 - s**2 - 3. Let a(o) be the second derivative of u(o). Factor a(l).\nAnswer: -2*(l + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -7*q + 11. Let y(a) = -8*a + 11. Let p(m) = 6*d(m) - 5*y(m). Give p(9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, -4, 2, 13, 1.\nAnswer: -4, 1, 2, 13, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 164969?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1998 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42 + -27. Suppose -2*q + b = -q. Let a = 34 - q. Is a a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1332\/(-342) - (-36)\/9?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilometer in meters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4841, -3, -5, -1.3, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2*-5269567\nAnswer: -10539134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 3*t**2 + 4*t + 7. Let s be m(-4). Solve -2*l - 3*c = -0*c - s, 11 = 3*l + 4*c for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 12. Solve -i*d = -r - 14, 5*r + 10 = -0*d + 3*d for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21295082 to the nearest one hundred thousand.\nAnswer: -21300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.29 - 0.01. Let g be (5\/3)\/(((-25)\/(-15))\/5). Let d = -86\/63 + 11\/9. Which is the closest to s? (a) g (b) 0.2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10296 divided by 572?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**2 - 21*d + 38. Calculate the remainder when f(13) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -53*j + 37*j - 1 + 249*j + 32*j to the form t + c*j and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*d**4 - 3*d**4 + 0*d**4)*(-49234 + 474 - 11167 - 54646 - 14043) to the form k*d + l*d**2 + g*d**4 + i*d**3 + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130344543.\nAnswer: 3, 7, 53, 103, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (((-4)\/2)\/2)\/(2\/(-18)). Which is the second smallest value? (a) -0.2 (b) f (c) -2\/3 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-9) + (-76)\/(-18). Suppose g*u + f = 4*f + 50, -4*f - 62 = -5*u. Let m = -75 + 83. Calculate the smallest common multiple of m and u.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**4 - 5*r**3 + 15*r**2 + 5*r - 10.\nAnswer: -5*(r - 1)**2*(r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 5:04 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 300 and 102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 - 3445\/481 - -52.\nAnswer: -6\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - 5*w**2 + 7*w - 3. Let a be 1*35*(-16)\/(-20). Let j = a - 34. Give i(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -97*r**3 + 11*r**2 + 12*r + 30. What is the tens digit of m(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 2, -21116 in ascending order.\nAnswer: -21116, -12, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 461597 + -1828000. Let k = 1366404.699982 + i. Let f = 1.7 - k. What is f rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2231 - -2233. Suppose 4*b = 5*y - 13, 5*b + 3*y = -0*b + 30. Suppose b*d - i - 4*i - 382 = 0, n*d - 2*i = 252. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 4*q - 18. Let b be v(5). Suppose b*n = 5*n + 4*z - 2997, -2*z = -6. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r**3 - 3284040*r**2 - 3284025*r + 6568070 = 0.\nAnswer: -656807, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12209168243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/10 + 1075\/(-125). Put 0, -3, j, 5 in ascending order.\nAnswer: j, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f = 221 + 69. Put 1\/5, 4, 5, f in descending order.\nAnswer: f, 5, 4, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3122 - 12567\/4. Let y = 8643483\/20 + -431708. Let k = -927\/2 + y. Calculate the common denominator of m and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of 2 - 27*v + 13\/2*v**2. Let w be y(8). Calculate the highest common factor of 22 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 328*u - 156*u + 333*u = -9595 for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of (-5320)\/38*204\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1487 (b) 1 (c) -3\/7 (d) 0.081\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10313.55 + -10350.75116. Let s = q + 37.2. Round s to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*u**3 + 3*u**3 - 2*u**3 + 6*u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 612 and 1156?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((5 + -2*sqrt(3))**2 - (sqrt(3) + (-1 + sqrt(3))**2)*-1).\nAnswer: -84*sqrt(3) + 164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6019569?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/40*((-10)\/(-4))\/((-212)\/4240)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 269*x**2 - 36*x - 170. What is the units digit of u(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 59562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uqujlqouuqj. What is prob of sequence uu?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 73 (base 10) to base 11\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -24 + -3 + 124 + -115?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4805 + 4804.99994159. Round v to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -298*f**2 + 101*f**2 + 97*f**2 + 98*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200 is divided by 37?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 13*m = -2, 3*h + 3*h = h + m - 4*m + 72 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i + 14*i - 3171 = -2571. Which is the biggest value? (a) 1 (b) -3\/7 (c) -0.29 (d) i (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15430 * 5.998.\nAnswer: -92549.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34072*d - 34067*d + 68146*d.\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -210 >= -122?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**4 + 2418990*d**3 - 8*d**2 + 77*d - 2214.\nAnswer: -48*d + 14513940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + 2*b + 5. Let f(u) = u**3 + 7*u**2 + 6*u - 2. Let h be f(-6). Let x be p(h). List the prime factors of (x - 4)\/(2\/(-6)).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11380578 is divided by 2276022.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3585*j - 1726. Is s(-33) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -4 - 8. Let f = 13 + -13. Sort o, -1\/7, f in increasing order.\nAnswer: o, -1\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4886752529 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-69)\/8142)\/(23\/46)?\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 842?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1330230112 - -31?\nAnswer: 1330230203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + b + 14. Let k(j) = j**3 + 3*j**2 - 3*j - 34. Let q(s) = -5*f(s) - 2*k(s). Determine q(2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -w**4 + 1228*w - 3223?\nAnswer: -4*w**3 + 1228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37\/(-4) - 25*4\/(-80).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/11 - 1486978*s**2\/11 - 25126109370*s + 25126244550.\nAnswer: -2*(s - 1)*(s + 371745)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/(130\/(-20)) - (-4)\/(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -32 >= 0.060102?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 352512\/(-8019) + (-162 - -206)?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -1. Let v(l) = 4*l**2 + 2. Let a(i) = 3*t(i) - v(i). Let z(g) = -g**2 - 1. Let f be (1000\/(-450))\/(4\/18). Give f*z(o) + 2*a(o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3067126393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1132 - 1059. Let f(j) = 6*j**2 - 12*j - 9. What is the remainder when f(-4) is divided by b?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m**(-8\/9)\/m)\/m)**(6\/13) assuming m is positive.\nAnswer: m**(-34\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 3\/((-3)\/(-4)). Let k = -3 + p. Let i(r) = 2*r**k + 11*r - 11*r. Let n(h) = 2*h. Determine i(n(d)).\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 3*r = 22, 6*r - 20 = r. Which is smaller: j or 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/((sqrt(112)\/sqrt(4))\/sqrt(7)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 36 + 15. Let d = 12 + p. Let i(v) = -6*v**3 + v**2 + 4*v - 4. Let t(l) = 7*l**3 - l**2 - 5*l + 5. Calculate d*i(g) - 4*t(g).\nAnswer: 2*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -556, -7, 3.\nAnswer: -556, -19, -7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one ninth of a hour?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 0*7\/35*5. Factor 2\/7*z**3 + 2\/7*z**2 - 2\/7*z**5 - 2\/7*z**4 + 0 + s*z.\nAnswer: -2*z**2*(z - 1)*(z + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49 + -32. What is the remainder when 4 - 2 - (-52 + -10) is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6228\/10 + 1\/5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -4*d. Let b(p) be the second derivative of 5*p**4\/3 - 55*p. Give b(g(t)).\nAnswer: 320*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1377))*6 + 1)*1.\nAnswer: -5 + 54*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -46*k - 747. Give d(-17).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p + 2. Let f be x(-3). Suppose -3*a = 4*j - 1 - 25, 0 = -f*j + 4*a + 48. Calculate the lowest common multiple of 7 and j.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p**2. Let z(f) = -3*f**2. What is z(b(j))?\nAnswer: -27*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/6))**(2\/5)*(i**(-1\/9)\/i)\/(i*(i\/i**(2\/3))\/i) assuming i is positive.\nAnswer: i**(-68\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 0.3 (b) 0.6 (c) 39 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3\/10 (b) 3\/2 (c) -4 (d) 1 (e) 4 (f) -11 (g) 1046\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus -0.0143124003?\nAnswer: 0.0143124003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.477 and 84412.3.\nAnswer: 84413.777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 891389 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kiddfwi. What is prob of picking 1 f and 2 d?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 r, and 2 s when four letters picked without replacement from ursudusurrdru?\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 - 9. Suppose 0 = -h - 4 + 13. Let o(j) = j**3 - 10*j**2 + 11*j - 11. Let d be o(h). Sort 4, a, d in increasing order.\nAnswer: 4, a, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.2 (b) 0.3 (c) -1\/6 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-912)\/(-64))\/((-9)\/(-24)). Solve -33*i + 25 = -t*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269*j = -272*j - 5*x + 26, -5*j = -x - 6. Solve 5*k + j*w = 4, -2 = 6*k - 12*k - w for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4*q**3 - 9*q**2 + 12. Let y be u(2). Solve -473*b - y = -471*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 0 + 0)*(0*z + 2*z - 4*z) + 18*z - 100*z + 5*z in the form s + f*z and give f.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*z - 3 + 4*z - 4 - 15*z as m*z + o and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -371 + 5601?\nAnswer: 5210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4533246 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 338 and -0.5.\nAnswer: -169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46*d**3*w**3 + d**3 - 62*d**2*w**5 - 101*w + 129 wrt w.\nAnswer: -276*d**3*w - 1240*d**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/5 of a century?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 4*j. Suppose 0 = 11*o + 9*o - 100. Suppose -5*g + g - 3*w + 92 = 0, j = -o*g - 4*w + 114. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/1485 and -59\/27.\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -18406 (base 10) in base 9?\nAnswer: -27221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 599 - 373.276946.\nAnswer: 225.723054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 2, 612 in decreasing order.\nAnswer: 612, 2, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 16, -106 in ascending order.\nAnswer: -106, -5, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 2\/9, -17.\nAnswer: -17, -4, 2\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*x - 15*x + 41*x + 7*x as t*x + y and give t.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 449388 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 36 + -69 - (7 + 2 + -77)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 7:05 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 96.69595 millilitres?\nAnswer: 0.09669595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 592389 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: Let k(v) = 3*v + 3. Suppose 4*g + 18 = -l, 2*l + 2*l = -4*g - 12. Suppose -4*n = -l*n + 6. What is k(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**4 + 3*y**4 + 4*y**4)*(-1 + 2 + 0) + 3*y - 3*y + 3*y**4 + (0*y**3 - 2*y**3 + 7*y**3)*(3 + 2*y - 3).\nAnswer: 18*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -33255 divided by -3\nAnswer: 11085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (18 + 6) - (-646 + 521).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 o when two letters picked without replacement from {h: 8, r: 3, o: 2, j: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of 37*j**3\/6 - 34*j**2 + j - 7. Let z be r(-3). Round z to the nearest 10.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -532 + 531 - (0 + 22)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -59 - -107. Let d = 48.055 - j. Let w = d - 6.055. What is the fourth smallest value in 2, 0.2, w, -1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18106?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 396 - 400. Find the common denominator of -13\/3 and n - (-2)\/((4560\/(-4115))\/(-2)).\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -430 + -7?\nAnswer: -437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**3 + 6*v**2 - 11*v - 6. Let c be r(-5). What is the tens digit of c\/85 + -2*223\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 344014?\nAnswer: 2, 11, 19, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96 = 137*a - 149*a for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4991 and 18087167?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50 and 170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 84614264?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/318 and -65\/27.\nAnswer: 2862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3954*g + 3959*g = 50 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 7*n - 57. Let g be q(9). Suppose 0 = -g*j - 2535 + 14169. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + -2)\/((-7)\/((-7)\/(-3)))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72 divided by -14341.\nAnswer: -72\/14341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q - 15 = -59 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 66319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1 + 0 + sqrt(637) + (sqrt(637) + 0)*-3 + -5*(-2 + sqrt(637)) + -3)*1)**2.\nAnswer: -14700*sqrt(13) + 781225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/((-441)\/14) - 16\/(-7). Suppose 3*h + 4 = s*u, -3*u = -4*h - 6 - 1. Is (h*3)\/((-133)\/45 + 3) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*v - 4*v. Let x(d) = -d + 6. Let l be x(5). Let p = l - -2. Calculate the greatest common divisor of p and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 777992?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 40421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1602 + 1596 + (-44 - 2) + (16 - 2).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(19)*2 + (sqrt(171)\/sqrt(3))\/sqrt(3) - (sqrt(171) + (2 + sqrt(171))*-3)**2.\nAnswer: -715 - 69*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 3) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21985*d**2 - 16173*d**2 + 38150*d**2.\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 10:22 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b + 106318*b**3 + 2*b - 3*b.\nAnswer: 106318*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 at least as big as 64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45092*a**2*g**5 + 87*a**2*g**3 - 6162*a**2*g**2 - 6*a**2*g - 2*a*g - 5*g**2 wrt g?\nAnswer: -2705520*a**2*g**2 + 522*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rsss when four letters picked without replacement from {s: 3, r: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32 by -32.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01814 to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.00486 litres in millilitres?\nAnswer: 26004.86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 562, 586, 638, 718?\n\"Answer: 14*b**2 - 18*b + 566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*3\/(-9))\/((-81)\/(-405)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*40\/25)\/(2\/10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.8*-2857618.\nAnswer: -8001330.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 15*w**2 + 23*w + 50. Determine m(-16).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of p**5\/60 + 5*p**4\/12 + p**3\/2 + 233*p**2. Give v(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 282 and 8.\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 120 divided by -60\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (((-182)\/42)\/13)\/(13\/(-6))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 2*d + 4. Suppose 0 = n - d*n - 730. Round n to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -4*k. Let x(f) = 26*f - 1. Let l(t) = -t - 1. Let d(w) = -l(w) + x(w). What is b(d(s))?\nAnswer: -108*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -54739, -109063, -163387, -217711, -272035?\n\"Answer: -54324*h - 415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q - 2 = 2 - 26. Let m(j) be the first derivative of 0*j**q + 0*j - 7 + 0*j**3 - 1\/16*j**4 - 1\/10*j**5 - 1\/24*j**6. Find i such that m(i) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1\/5, -152\/7.\nAnswer: -152\/7, -6, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 22 = 3*w, w = -2*w + j - 7 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 7167.205 to the nearest 100.\nAnswer: 7200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54 and 204138?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5\/592 - 2\/37. Suppose 86 = 109*d - 23*d. Which is smaller: m or d?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 7*s + 2*v + 72, -2*s - 4*v - 68 = 0. Let j be (2 + -87)*(0 + -1). Let b = s + j. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005626257644 rounded to 6 dps?\nAnswer: -0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-285)*(-19988)\/(-1578)*5\/18?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 6*z**2 + 8. Give f(-5).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -30739 - -586\nAnswer: -30153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 32 = 4*q, -10 = -2*q + 4*q. Suppose -4*i + 0*f + 48 = 4*f, -4*i + 47 = j*f. Let z = 31 - i. Is 10 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -7. Let a be (0 - 421) + 1 + (-142)\/(-852). Let g = -420 - a. What is the nearest to 2\/7 in -1, y, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/817, 1\/4, 3829 in decreasing order.\nAnswer: 3829, 1\/4, 2\/817","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -6011*m**3 - m**2 - 7*m + 3. Let r be o(-6). Let x be (8\/2 - 1) + -444194*2. Let h = r + x. What is h rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4366165106 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 127212 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(3\/12*12\/15). Let t = 0 + -3. Let j(v) = -755*v + 1509*v + 13 - 758*v. Let m(o) = -2*o + 7. What is a*m(r) + t*j(r)?\nAnswer: 2*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8662 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (38\/3)\/(20\/30). Let z be (-4)\/8*-2 + m. Solve 3*c = -5 + z for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*-264144\nAnswer: 528288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 512145015 (base 6) in base 3?\nAnswer: 121112100021102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -95, -2\/7, 0, 87\/5 in descending order.\nAnswer: 87\/5, 0, -2\/7, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 58, 87, 138, 217, 330, 483, 682?\nAnswer: 933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of 0 + 0*c**4 + 0*c**3 + 0*c**6 + 0*c**7 + 1\/112*c**8 - 1\/60*c**5 - 10*c**2 + 0*c. What is the third derivative of r(v) wrt v?\nAnswer: 180*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.07, -1\/11, 9, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**1*m)\/(m*(m**(-2\/3)*m)\/m))\/(m**(2\/9)\/(m*m**(-2\/3)\/m*m)) assuming m is positive.\nAnswer: m**(16\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -699*q**5 + 2*q**4 + q**2 + 269 wrt q?\nAnswer: -41940*q**2 + 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -12\/29 (b) -0.5 (c) 0 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**2 - 5*k**2 - 3*k**2 in the form s*k + z*k**2 + q and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2*d**2 - 5*d + 331923*d**4 - 331925*d**4 + 24*d - d**3 in the form i*d**4 + y*d**3 + z*d**2 + j*d + n and give j.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2695 (base 10) in base 8?\nAnswer: -5207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 44*j + 37. Let o(m) = -8*m + 3. Calculate k(b) + 3*o(b).\nAnswer: 20*b + 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (81\/54)\/(-7 + -5)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -232*u**4 + 1500*u**3 - 64*u + 1110716382?\nAnswer: -928*u**3 + 4500*u**2 - 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -5*g + 339, 4*g = -14*q + 12*q + 260. Is 9 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 177 = 164*h - 324 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/5 - 269282*q\/5 + 18128198881\/5.\nAnswer: (q - 134641)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -9*c + 87. Let y(p) = 4*p - 43. Let g be 408\/(-1020)*(1 - 1 - -5). What is g*h(o) - 5*y(o)?\nAnswer: -2*o + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30977, 30979, 30981, 30983, 30985, 30987?\nAnswer: 30989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g + 2. Let v be k(0). Let m = 6 + -2. Solve -v*z + m = -0*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -11*g + 5 + 1 + 26. Is t(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 361\/4 - 19\/2*g + 1\/4*g**2 = 0.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 999\/1443*(-26)\/(-117).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 2:36 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**3 + 2*x**2 - 3*x + 1. Give m(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -2*u + 30, 4*p + 30 = -4*u + 10. Is 87 - (-5)\/(10\/p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1\/11, -4, -0.1, 2 in decreasing order.\nAnswer: 2, -1\/11, -0.1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 115, 270, 489, 772, 1119?\nAnswer: 1530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 5*x = 3*n + 11, -2*n + 5*x - 7 = 0. Let r be (6\/9)\/(n\/(-27)). Let l(f) = -3*f**2 - 143*f - 98. Let o be l(-47). Which is greater: r or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 8*q**2 + 6*q + 7. Let h = 10 - 4. Let v(x) = x. What is the lowest common multiple of k(-7) and v(h)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, w: 1, r: 3, q: 2, b: 2, h: 3}. What is prob of sequence qfb?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5931884, 11863775, 17795672, 23727581, 29659508?\nAnswer: 35591459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5606*f + 265036 + 26476 = 0 for f.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = a + 3*a. Suppose 2*k - 2*z = -7*z + 16, -a*z = -4. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 17*l**2 + 3*l + 3. Let r(s) = -s**2 - s - 1. Suppose 0*a = 2*a - 6. Let x(p) = a*r(p) + v(p). What are the prime factors of x(-1)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/7 - (-24)\/14. Let r(f) = -f**3 - 7*f**2 - 8*f + 5. Let q be r(-6). Let u = q - 15. Is k >= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/14 and 91\/232330470.\nAnswer: 1626313290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14836?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/5 - (16765\/(-175) - -93)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -7. Let a = -144 - -70. Let c be a\/(-8) - 2\/8. Calculate the highest common divisor of c and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 18*n**2 - 13*n + 19. Let r(t) = 12*t**2 - 9*t + 12. Give 5*g(v) - 7*r(v).\nAnswer: 6*v**2 - 2*v + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 l when two letters picked without replacement from {r: 2, l: 2, z: 4, i: 3}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3450 (base 12) to base 14\nAnswer: -219a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 8 = -c. Let d be (3 - -29)*4\/c. Suppose 24 = -5*r + d. What is the remainder when 22 is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**3 + 11*o - 15*o + 151*o**3 - 11*o + 9*o + 0*o - 3*o**2.\nAnswer: 153*o**3 - 3*o**2 - 6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23 - -13131022022?\nAnswer: 13131022111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -15123, -8, 5 in decreasing order.\nAnswer: 5, -8, -15123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*z + 38*z + 53*z + 36*z + 53*z - 294*z.\nAnswer: -34*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/9*(-72)\/(-16). Let o(g) = 7*g + 5. Let k(u) = -3*u - 2. Give x*o(v) + 5*k(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -0.2 (c) -0.01 (d) 4 (e) -29270\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-7)\/(-14)*-2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13663\/2 + -6831. What is the nearest to 0 in o, -1.19, 0.6, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l*l\/l**(-1\/53)*l*l*l\/(l**(1\/15)*l)*(l\/l**(-2))**(1\/11) assuming l is positive.\nAnswer: l**(45692\/8745)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/9)\/g)**(-23)\/(g**(-3)\/g**(15\/7)) assuming g is positive.\nAnswer: g**(1934\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-25))\/((-66)\/1705) - (-16)\/4.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 17*d - 200. What is m(15)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 + (-23)\/(-6))*(38 - 30). Let v = -6 + 4. What is the closest to 2 in s, -2\/17, v, -0.3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46122977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + s**2 - 2*s. Let d(o) = 33*o**3 + 6*o**2 - 12*o - 2. Calculate -d(z) + 6*t(z).\nAnswer: -39*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15416 and 611.\nAnswer: 200408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**(-3)\/h*h*h))\/(((h*h**(-2))\/h)\/h))\/(h**(-2))**(29\/4) assuming h is positive.\nAnswer: h**(39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -11. Let b be 70\/21*g\/(-5). Suppose 0 = -b*u + 22 + 26. Calculate the highest common factor of 8 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -122165 or -122171?\nAnswer: -122165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*y**3 - 20*y + 7*y + 4*y wrt y.\nAnswer: -36*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a year?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 140 - 112. Let v = 85 + -57. Calculate the greatest common divisor of c and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i - 7*i**4 - 3*i**4 - 8 + 16*i**4 - i**3 - 7*i**4 + 2*i**2 as t + j*i + y*i**2 + z*i**4 + b*i**3 and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105 divided by 112.\nAnswer: -15\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -m**2*r*w + 2*m**2*w + 39*m*w**2 + r*w**2 + 2*w**2 + 2957*w with respect to m.\nAnswer: -2*m*r*w + 4*m*w + 39*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 6356610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 2 = -3*z, -3*x + 12 = -3*z. Let r = x + 3. Suppose 3*m + p = 3, p + 1 - r = -4*m. Solve m*w = -3*w - 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 21923 - 2?\nAnswer: 21921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -2491411 and -10 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -i**3\/6 - 6*i**2 - i. Let s be w(-10). Is s <= -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78983, 78993, 79039, 79139, 79311, 79573?\nAnswer: 79943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3aa6 (base 13) in base 11?\nAnswer: -6362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -525 divided by 175.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -1\/7, 195, -1\/12?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.3 + 6.7. Is z > 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 14.4. Let r = -1.79903474 + -7.60096483. Let t = r - h. Round t to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**2 - 6*g - 2. What is s(5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -25, -f - 2*f + 25 = -2*d for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 959, 949, 925, 881, 811, 709, 569, 385?\n\"Answer: -w**3 - w**2 + 961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (147\/35)\/((-2673)\/62370)?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 16) in base 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 3.1. Which is the nearest to m? (a) 2\/3 (b) 0.3 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35870, 36130, 36558, 37148, 37894, 38790?\nAnswer: 39830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - -1 - 1) + 40. Let j be 4\/(-6) - z\/(-6). Solve -n = -4*n + j for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 4 - (5 + 6 + (39 - 35)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 5*d = -z + 154, 0 = -2*d + 4. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 927909.6290644 + -927910. Let x = l + 0.371. What is x rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 - (-5 - (-8 + 12 + -40) - 15).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 945, 15 in descending order.\nAnswer: 945, 15, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37 (base 10) to base 6.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3342167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 264, 278, 302, 336, 380, 434, 498?\nAnswer: 572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3*y + 5. Let u(t) = -3 + 4 + 2*t - t - 2*t. Let k(l) = 6*l - 6. Let c(m) = -k(m) - 5*u(m). Let f = 4 + -5. What is f*d(i) + 5*c(i)?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2433002002 (base 5) to base 8\nAnswer: 25736754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*l + 9, -4*l = -g - 8. Suppose 0 = 4*v - 0 - g. Suppose -1480000 = k - v*k. Round k to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 4\/7 (b) 0.4 (c) -2 (d) 0.1 (e) 111\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (20\/(-126))\/(((-3564)\/(-3542) + -1)\/(-1)). Factor 272\/9*d + 50\/9*d**3 + 32\/3 + s*d**2.\nAnswer: 2*(d + 3)*(5*d + 4)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3579036?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -4*r. Let j(p) = 370*p**2 + 45*p. Give w(j(g)).\nAnswer: -1480*g**2 - 180*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 9*z**2 + z + 1. Let q be (-1)\/((-6)\/3 + 3). Suppose -11*i + 7*i + 64 = 0. What is the remainder when i is divided by y(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4346\/117 - -480\/13. Let w(z) = -2*z - 10. Let x be w(-8). Let l be (-4)\/(-102)*x\/(-4). Which is the second biggest value? (a) 2\/11 (b) l (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 6:46 AM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 40696117991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -255\nAnswer: 1275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 72 = 13*g. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m**2 + 18*m - 8. Let a be p(8). Suppose 9*v = 7*v + 16. What is the smallest common multiple of v and (0 - a\/10)\/(3\/(-30))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 521 divide 193677506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2309*r + 6021*r - 83639 - 64841 for r.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18756 is divided by 826.\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lbcllccllbb. Give prob of picking 2 c, 1 l, and 1 b.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*p + 53 = -3 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -7678\/6469 at most -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-96)\/(-5))\/((-18)\/(-60)). Let q = -19 + u. Suppose 2*d - 3 - q = 0. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2558)\/(-4) - 294\/(-196)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 + (-10 + 2 - (-187 - -179) - 16).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4944 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 38 = -7. Suppose 1 = -4*q + s. Differentiate 0 + z + 4*z**q - z - 1 with respect to z.\nAnswer: 8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 6*k - 2. Let o be n(4). Find the second derivative of 14 - 14 + o*s**2 - s wrt s.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26418615 divided by -2019.\nAnswer: -13085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.1 in -2, 0.1, -8, 0.104?\nAnswer: 0.104","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101000000111000 + 10?\nAnswer: -1101000000110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 57, -2 in decreasing order.\nAnswer: 57, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1164*j + 549*j - 72123 = 83760 for j.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 3*b + 3. Let x = 0 + -5. Let t be k(x). Let d = t + 2. Is d a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.99 + 450.01. Let h = f - 450.99516. What is h rounded to four dps?\nAnswer: 0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45127628 divided by -178\nAnswer: -253526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 693\/28 + (-139 - -116)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 4:07 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -23 in 1\/4, -1, 35?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 56\/(-64)*-4*19563\/21*2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 4*n - 1. Let g be b(-2). Suppose 8 = 3*u + 11. Put u, g, 3\/4 in decreasing order.\nAnswer: 3\/4, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3. Let n(x) = -33*x**3 + 471*x**2 - 45*x - 135. Let f(u) = 3*u**3 - 42*u**2 + 4*u + 12. Let c(o) = -45*f(o) - 4*n(o). Determine -c(t) + 6*q(t).\nAnswer: -3*t**3 - 6*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2 (b) 0.09 (c) 0.3117 (d) -2\/17 (e) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8d2e (base 15) in base 10?\nAnswer: 29969","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.11004 and -3180.\nAnswer: 349.9272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -10183.\nAnswer: 40732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 != 16\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -150*b**3 - 1211030*b**2 - 2444524594*b - 814706978.\nAnswer: -2*(3*b + 1)*(5*b + 20183)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 25 = 3*w + p, 0 = 4*p - 16. Suppose w*m - 32 = -4*j, 2*m + 8 = 4*j - m. Is 3 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 645 divided by -3.\nAnswer: -215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 7*b - 19. What is the units digit of j(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9611 + 788*s + 19224 - 9613 as v*s + p and give v.\nAnswer: 788","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -4*g. Suppose 4*x - 28 = 4*f, g = 4*x - f + 4 - 29. Suppose 120 = 2*i + 3*i - n, -5*i = 3*n - 120. What is the greatest common divisor of i and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.095 - 0.595. Sort -2, 5, s, 0.02 in descending order.\nAnswer: 5, 0.02, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -1)\/(40\/4)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17264731, 34529461, 51794193, 69058927, 86323663?\nAnswer: 103588401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 29*s**2 - 103*s - 232. Calculate h(-32).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/9))**31*b\/(b\/b**(-17)*b)*b**6)**(-11\/4) assuming b is positive.\nAnswer: b**(253\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(44\/33*(-3)\/(-28))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(-2 + i - 3*i + i) + 0*i - 3*i + 0*i.\nAnswer: -4*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 3*g + 4. Suppose 0 = 3*y - 8*y - 10. What is the remainder when (y - -1) + 16\/1 is divided by c(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 4 + t**3 + 0*t**3 - 5. Let s = 47 + -45. Let x be k(s). Solve c - 2 = -x for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 197496\/1266*(-2)\/4*(-1)\/(-6)*4\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -109*x**3 - x**2 - x. Let t be r(-1). Suppose 3*h = 2*s - t, -2*s + 4*h + 255 = 3*s. Let k = 9 + 7. What is the remainder when s is divided by k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - 37*b - 17. Calculate j(-27).\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 765545.7 grams in milligrams?\nAnswer: 765545700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 23115\/25 - 27\/45. Let f = r - 10138\/11. Calculate the common denominator of f and 45\/77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 8*p**2 + p - 9. Suppose 4*u - 13 = 19. Let x be h(u). Which is greater: x or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 12:18 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/21)*p**(-13\/4))\/(p**(-16)\/p)**22 assuming p is positive.\nAnswer: p**(31139\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 - (20 + (51 - 89)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 1. Let b(n) = -13*n - 26. Give 3*b(g) + 78*z(g).\nAnswer: -39*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-226)\/(-10) - 4 - ((-4324)\/235)\/46.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, p: 18}. Give prob of sequence pppp.\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/2, 0.0485141, 0.5?\nAnswer: 0.0485141","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 6*x**2 - x - 2. Let o be g(-6). Let h be o\/10 + 185002\/(-5). What is h rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 0*m = 64. Suppose t = 2*t - 5. Suppose t*d = 61 + m. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 - -7.5. Let h = 7 - m. Let n be (-3)\/18*4\/3. Put 4, n, h in decreasing order.\nAnswer: 4, n, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 825*i - 30. Let r be y(6). What is the third derivative of -b**4 + 3*b**3 - 2*b**3 - r*b**2 + 4954*b**2 wrt b?\nAnswer: -24*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a9349 + 3?\nAnswer: a9351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -3 - 3. Let z(x) be the first derivative of 0*x**2 + 0*x - d - 1\/6*x**3 + 1\/16*x**4. Let z(w) = 0. What is w?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110 + 132 + (2 - 23)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r + 116 - 298 = 0. Let o(a) = 14*a**2 - 4*a + 3. Let i be o(2). Let g = i + r. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1050 divided by 5.\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5551*f**2*t - f**2*x**2 - f**2*x - 56*t*x**2 wrt x?\nAnswer: -2*f**2*x - f**2 - 112*t*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, s: 2, f: 6, w: 1, d: 3, k: 5}. What is prob of picking 1 k and 2 n?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43946?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2590 + 444890538\nAnswer: 444893128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 20303 (base 8) to base 13\nAnswer: 3a82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*v - 200*v - 492 = 0 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 2*h**2 - h - 2. Let g be x(3). Put 0, 13, g in descending order.\nAnswer: 13, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30143 times 2\nAnswer: -60286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/28 + 10\/(-30) + 5\/6. Which is the biggest value? (a) 4\/3 (b) 0.4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3809 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 2*o = 0. Suppose -5*l + 7 = -4*d, -3*d + 15 + 3 = 4*l. Suppose 22 = 6*m - m - 2*i, -d*m + 4*i = -12. Sort o, -3, m in descending order.\nAnswer: m, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -7*k + 0 + 36*k**2 - 2 - 30*k**2. Let j(a) = 5*a**2 - 6*a - 2. Let y(l) = -l + 7. Let s be y(0). Determine s*j(f) - 6*p(f).\nAnswer: -f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -401\/524 + 2\/131. Let j = -8 + 2. Let r = j + 5. What is the nearest to r in 3\/7, -0.4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -10 - 1 - 21*a + 0*a. Let z(b) = -4*b - 2. Let k(y) = -2*p(y) + 11*z(y). Let q(g) be the second derivative of -g**3\/6 - 13*g. Determine k(q(l)).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -351 take away -1464?\nAnswer: 1113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -218 - -310. List the prime factors of g.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -5, 8, 1\/8, -0.4, -22\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -201 + 81. Calculate the greatest common divisor of l and 396.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 47*w - 64. Let y(g) = 2*g**2 - 70*g - 96. Let t(o) = -8*p(o) + 5*y(o). Let i(x) = x + 1. Let a(d) = 28*i(d) - 2*t(d). Factor a(h).\nAnswer: -4*(h + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -12.5. Let f = -1.50000045 + o. Round f to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vjl when three letters picked without replacement from {j: 1, h: 6, v: 2, i: 7, l: 2}?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t. Let o be ((-4)\/(-3))\/((-6)\/198). Let v be (-80)\/o - (-4)\/22. Let g(r) = r**2 + 0*r**2 + 0*r**v. Give z(g(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v + 3. Let y(k) = k. Calculate -3*y(m) + z(m).\nAnswer: -m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -253, 1\/7, 0.03, 1?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 80.7866 kilometers?\nAnswer: 80786600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 201946.8 milligrams?\nAnswer: 201946800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 578*d*m**2 + 121*d*m - 7*d + 4*m wrt m?\nAnswer: 1156*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -360*z = -19*z + 5456 for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**2. Let v be (-22)\/(-8) + 3\/(-4). Let j(s) be the second derivative of 1\/12*s**4 + 0 + 0*s**v - 2*s + 0*s**3. Give j(p(x)).\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -495, -2132, -5681, -11886, -21491, -35240?\nAnswer: -53877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72 + -84 - (-68 - 38)?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -n**6\/360 - n**3\/6 + 2*n**2. Let d(m) be the first derivative of g(m). Let o(j) = 2430 - 2430 + 11*j**2. Give d(o(y)).\nAnswer: -121*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.01 - -1.99. Let t = j - 1.999997. What is t rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*p**4 - 964624*p**3 - 35153345*p**2.\nAnswer: 384*p - 5787744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 2*f + 40 = 0. Suppose -16*g + 313 = 25. What is the lowest common multiple of f and g?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6 + (-408)\/(-3) - -3)*1. Suppose 117*l - c*l - 18000000 = 0. What is l rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ouu when three letters picked without replacement from kkkkkuockcckuuucku.\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 493 * 3.051\nAnswer: 1504.143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30204 (base 5) to base 13.\nAnswer: -b55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhrhrhhhuuququcqq. What is prob of picking 1 h, 1 q, and 1 u?\nAnswer: 12\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*l**4\/4 - 55*l**3\/2 + 14985*l**2\/4 - 13365*l + 12025 = 0. What is l?\nAnswer: -37, 5\/3, 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10256, 10258, 10260, 10262, 10264?\nAnswer: 10266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -254*r = -272*r + 36. Factor 0*a**r - 2\/7*a**5 + 0*a + 0*a**3 - 2\/7*a**4 + 0.\nAnswer: -2*a**4*(a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -34242?\nAnswer: -34243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h. Let u(x) be the first derivative of 2*x**3 + 7. What is m(u(k))?\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36579\/8360 + -9\/760. Calculate the common denominator of 36\/5 and f.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -64.046 + 64. Let v = x - -2.046. Which is the nearest to -1? (a) -6 (b) v (c) 0 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e55 + -32?\nAnswer: e23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26427 - -75718. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, u: 9}. What is prob of picking 2 l and 1 u?\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0 (b) -5 (c) 8.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 50*v + 3 + 47*v + 3.\nAnswer: -3*v + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**2 + 9*a + 875. Let k be d(0). Suppose -1280 = -3*y + 2*r, 0*r = 2*y + 3*r - k. Calculate the highest common factor of 10 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 13*v**2 - 24*v + 20. Let r be w(9). Let d = r + -121. Solve 2*f + 5*f = d for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109 = 4*n + 129 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 8:01 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 194 = g - 1169, -5*c = 3*g - 1709. Is 5 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + 14)*(-19)\/(-19). Is 20 a factor of c\/2*162\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10374929 times 2\nAnswer: -20749858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -400792*b*z**3 - 5*b*z - 6673*b - z - 1 wrt z.\nAnswer: -2404752*b*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + 1ab?\nAnswer: 1ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-53)\/(-424)*1*-8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 38*g - 40*g. Suppose -g*i + 416 = v, -650 = -3*i - 0*i + 5*v. What are the prime factors of i?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 111*l + 5187. Let u be j(-47). What is the closest to -2 in u, -0.2, 0.5, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 14 and -7.251199965148.\nAnswer: 6.748800034852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 11, w: 1, j: 7}. Give prob of picking 3 j and 1 w.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -3936*n - 125964. Calculate f(-32).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20546 - 4?\nAnswer: 20542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -5. Suppose 2*u + v*b = 0, 0*b + 3*b = u. Let h be 1 - ((-9)\/(-3) - 5). Solve u*o = h*o - 15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**3 - 22*t**2 - 60*t + 23. What is y(10)?\nAnswer: -777","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 4 + 4 - 2*o**3 - 7.\nAnswer: -2*o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14\/(1960\/1250)*(-3 + 1). Let q = 74.9 + -75. Which is bigger: v or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 5307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 211*b**5 + 3*b**4 - 4*b**3 - 20645*b + 3.\nAnswer: 4220*b**3 + 36*b**2 - 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3024*v**3 - 18*v**4 + 1510*v**3 + 1512*v**3 - 16*v**2 to s*v**2 + x*v**3 + u*v + w*v**4 + r and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 62*y**3 - 7*y**2 + 43*y - 61. What is the thousands digit of d(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 6*x**3 + x + 4. Let c(s) = 13*s**3 - 207*s**2 + 7*s + 354. Let t(n) = c(n) - 2*o(n). Find the second derivative of t(m) wrt m.\nAnswer: 6*m - 414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 353422920.\nAnswer: 2, 3, 5, 2945191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -57*l + 96. Let t(n) = 16*n**2. Let r(q) = 3*q**2. Give l*t(p) - 15*r(p).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 17. Suppose 4*h - 5*h = -x. Suppose 2*p + 38 = 4*o, -3*o - 4*p + h = o. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -97250 (base 15) to base 7\nAnswer: -4035522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7552 and 7688880.\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-5537)\/(-27) + 30\/(-405))*1. Suppose -5*i + 1207 - 387 = 0. What is the greatest common divisor of r and i?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -7, -149, -3, -8 in ascending order.\nAnswer: -149, -8, -7, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 1710.\nAnswer: -1\/855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -5*n**2 + 9*n - 9. Let o(r) = -11*r**2 + 19*r - 19. Let j(q) = 13*a(q) - 6*o(q). Let d = 8 + 0. Let p(z) = -z + 5. Let h be p(d). Give j(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 1749*x - 7557. Give i(4).\nAnswer: -561","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*l + 51461 = 44289 for l.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 699 - 346. Let v = 363 - m. What is the lowest common multiple of 4 and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 7666596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 4*h**2 + 40*h + 26. Let s(u) = -2*u**2 - 20*u - 14. Calculate -6*o(y) - 11*s(y).\nAnswer: -2*y**2 - 20*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -26146750 to the nearest 10000.\nAnswer: -26150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1546408, -1546400, -1546386, -1546366, -1546340, -1546308, -1546270?\n\"Answer: 3*u**2 - u - 1546410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -4. Let p = v + 2. Solve 0*d - 3*d - 9 = p for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62418.69s in milliseconds?\nAnswer: 62418690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -929605*q**3 + 38525*q**2 + 58*q?\nAnswer: -5577630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 23, -1 in decreasing order.\nAnswer: 23, 5, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 14*l + 75. Suppose -3*n - 3*y = -4*n - 5, 4*n - 3*y = -20. Let d be t(n). What is the smallest value in 0.3, d, -1\/5, 0.4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s - u = -3*s - 16, 3*u - 24 = 3*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -c**6\/60 + c**3\/2 + 3*c**2\/2 + 2*c. Let x(b) be the first derivative of l(b). What is the derivative of x(o) wrt o?\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 10*s**4\/21 + 5134*s**3\/21 + 16784*s**2\/7 - 986680*s\/21 - 402400\/21 = 0.\nAnswer: -503, -20, -2\/5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1058723847 to the nearest integer?\nAnswer: 1019","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 19, 30, 5, -62, -177, -346, -575, -870?\n\"Answer: -r**3 - 12*r**2 + 54*r - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2236.16? (a) 24 (b) -1 (c) 2\/17 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 4*g - 4 - 49, 2*g = 3*z + 31. Let s be (2*38)\/(z\/(-9)). Let q = s + -71. Solve -q*d - 7 + 2 = 5*i, 17 = -3*i + 4*d for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (44\/(-132))\/(((-1)\/(-24))\/(12\/(-24)))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -24, 2\/11, 245?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of f**3\/9 + 35*f**2\/6 + 124*f\/3 - 42. Factor w(z).\nAnswer: (z + 4)*(z + 31)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -38950.45 to the nearest 10.\nAnswer: -38950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**2 + 9*k + 8. Let i be c(-6). Suppose -5*h = -18*h + i. Suppose h = -2*u + 42. What is the greatest common divisor of u and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*n = 22*n - 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/14 and -22\/593.\nAnswer: 8302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 16 = u. Suppose h + 4*q = -3*h + 4, 4*h = u*q + 36. Suppose -45 = -h*v + 15. Is v a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of -65*q**4\/8 - 2*q**2 + 11*q. Let a(r) = r**2. Calculate a(t(u)).\nAnswer: 38025*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b. Let l = 44\/3 + -173\/12. Let i(m) be the second derivative of 5*m + 0*m**3 - l*m**4 + 0*m**2 + 0. What is j(i(n))?\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 231.77 + -219.239. What is j rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -126 + 362. Let m be o*((-1)\/4)\/(2\/(-2)). Let n = -59 + m. Solve n = -2*v + 5*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -5.7.\nAnswer: -1.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(1*sqrt(108)).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 8452 = 5*q - 3*q, 2*q = 2. Suppose 2*m = -3*t + 1912 + 894, -m - r = -3*t. Suppose 5*j + 3*y - t = -y, -4*j + 4*y + 736 = 0. Does 31 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11.9 - -12. What is the smallest value in 2, f, 1\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9\/60)\/(183\/(-244)). Let x = 0.15 + -0.05. Let c = x + 0.9. Is i <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**1*t*t)**37\/(t\/((t**(6\/7)\/t*t)\/t)*t**(4\/5)\/t))\/((t\/(t\/t**(-3)))**(-39))**(-35\/4) assuming t is positive.\nAnswer: t**(158733\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 27047 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 8. Suppose 0 = 2*o - h*o - 60. Suppose 2*a - 3*a = -o. What is the highest common factor of a and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1\/17 (b) 1\/2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 629368574?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22651, -45303, -67955, -90607, -113259?\nAnswer: -135911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22.24 + -22. Let n = 0.24 - t. What is the third biggest value in -5\/4, 0.3, 3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121396964?\nAnswer: 2, 13, 2334557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - 4*g**2 + 10*g + 8. Calculate w(-5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1758, 1757, 1756?\nAnswer: 1755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*w + 17616 = 16*w. Calculate the remainder when w is divided by 132.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + a0c?\nAnswer: a13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73, 69, 63, 55, 45, 33, 19?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 380 divided by 6\nAnswer: 190\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.8 - -0.2. Let l = -3.3 + k. Let w = 131 - 657\/5. Which is smaller: w or l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, x: 7}. What is prob of picking 4 x?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 136494401?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*r = -31*r + 24 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1122 divided by -102\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 368400 and 960?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 41\/529?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22789626*o**2 - 2155*o + 4354.\nAnswer: -45579252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*n**4 - 2*n**4 - 3*n**4)*(126 - 197 - 170) to k*n**2 + t*n**3 + u*n + v*n**4 + m and give v.\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -117.135 + 117.135096303. Round h to 6 dps.\nAnswer: 0.000096","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1252\/5 + 13677\/55. Calculate the common denominator of -5\/669 and j.\nAnswer: 7359","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 = 180*k - 112*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -54375334*v + 55857557?\nAnswer: -54375334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2100) - 1*sqrt(2100))*3 - sqrt(2100))*4)\/(-1*sqrt(3)*5 - sqrt(30)\/sqrt(10)*-4).\nAnswer: 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 123, 118, 113, 108, 103, 98?\n\"Answer: -5*a + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57677698.\nAnswer: 2, 13, 23, 96451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k**3 + 37*k**2 - 2*k + 36?\nAnswer: -6*k + 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1143199 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 134551 divided by -5?\nAnswer: -134551\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5143960?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, -0.12, -0.4, 4?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67, 221, 471, 817?\nAnswer: 1259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**6*u)\/u**(3\/7)*u\/(u**(1\/5)*u)*u*u**0)**(-35) assuming u is positive.\nAnswer: u**(-258)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.78, -6273, 0.2.\nAnswer: -6273, -0.78, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7219.173m in millimeters?\nAnswer: 7219173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1.3 (b) 3 (c) 0.05 (d) -1\/99 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1963\/344613 or 0?\nAnswer: -1963\/344613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25694 and 115623?\nAnswer: 231246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 16 = 2*r + p, -5*r - 3*p = 12. Suppose r*a - 5*a + 10 = 0. Calculate the greatest common factor of a and 46.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 6 = -7*s. Let p = s + 57. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -130\/11 - -128\/11. Let w(p) = p**3 - 6*p**2 + 5*p - 5. Let k be w(5). Let v be (4\/k)\/(8\/(-20)). Sort q, v, -2 in ascending order.\nAnswer: -2, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q**3 - 2*q**3 - 3*q**3 + 21*q**3 - 63*q**2 + 63*q**2 + (q - 2*q + 3*q)*(2*q - 2*q + q**2) as u + j*q**3 + f*q + g*q**2 and give j.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -103 bigger than -110?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 - -47. Let z be 42\/12*8\/k. Factor -15*s**2 - z + 3 - 9*s + 5.\nAnswer: -3*(s + 1)*(5*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w. Let f(c) = -10875*c - 1. What is f(j(t))?\nAnswer: -32625*t - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 207632 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (432 - 17 - 54)*(6 + 2*l - l**2 + 9*l**2 - 7*l**2) + 2*l**2 + 4*l - 4*l to the form k + m*l + u*l**2 and give m.\nAnswer: 722","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of b**5\/60 + 5*b**4\/24 + b**3\/3 + b**2. Suppose 31 + 11 = -7*m. Give w(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109423 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*y - 9*y + 12*y = 301 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in -6, -24, 0.4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2887*c*z**4 - c*z**2 - 54189*c + z**4 + 5 wrt z?\nAnswer: 11548*c*z**3 - 2*c*z + 4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 3415 = 7*h - 2*h. What is the remainder when h is divided by 171?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 249*q**4 + 39*q + 8. Let p(h) = -374*h**4 - 58*h - 12. Let u(a) = 5*p(a) + 8*z(a). What is the second derivative of u(m) wrt m?\nAnswer: 1464*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21 - -11) + 0 - (2 + -2 - -5)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from lllllllllrrllr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 182 (base 9) in base 5?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 219 and 0.25.\nAnswer: 54.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 131500 to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 13) to base 14.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1246, -2493, -3740, -4987?\nAnswer: -6234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/5*t**2 - 4\/5*t**4 + 1\/5*t + 0*t**3 + 0.\nAnswer: -t*(t - 1)*(2*t + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)\/(-2*sqrt(8)))\/sqrt(9))**2 + (-1*sqrt(42)\/sqrt(3))\/sqrt(7).\nAnswer: -sqrt(2) + 1\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 4*s = -57977, 7*m - 38646 = 5*m - 4*s. Suppose 3*a - 4*c - m = 21780, 5*c = -2*a + 27415. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-144)*6\/20*2?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - 24*k + 29. Calculate the remainder when 83 is divided by p(24).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2\/3)\/(j\/j**(-3\/7)) assuming j is positive.\nAnswer: j**(-44\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t**4\/2 - 35*t**3 + 185*t**2\/2 + 120*t - 450 = 0.\nAnswer: -2, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 7:30 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1794622596?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 3*j - 11 = 0, -2*j = 3*g - 0*g - 6. Calculate the highest common factor of 32 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f**3 - f**2 - f + 1. Let z be j(1). Let p(s) be the second derivative of -s**2\/2 - 26*s. Let d(q) = q - 3. Give z*d(n) - 6*p(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 93798 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11854470 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/27 and -64\/143061.\nAnswer: 1287549","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 69991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2641125374?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 11.582 and 18865?\nAnswer: 18853.418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/12 - -2*4\/(-48). Are a and -1\/80 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 794411 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.671 times 106135?\nAnswer: 71216.585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3 = 3*r, -3*r - 6*j + 4*j = -18. Let c be 1*88\/r - -1. What is the greatest common divisor of 207 and c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 11:18 PM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l = 120*g - 118*g + 16, -g + 3*l = 5 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9060492.\nAnswer: 2, 3, 7, 19, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2469.\nAnswer: 3, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 1740996?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 6. Let t(h) = h + 6. Determine -3*o(x) + 2*t(x).\nAnswer: 2*x - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 z when four letters picked without replacement from zzzzzzbzb.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*l - 3*i = 14*l + 41, -5*i = l + 19 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*g + 62 = -2*d, g - 6*d = -2*g - 4*d - d + 17 - 16 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8194*k**2 - 8200*k**2 - 22*k + 6*k + (-k - 2*k + k)*(k - 7*k + 2*k) to y*k**2 + h*k + r and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 1 = -2. Solve 3*b - w + 2*w = 0, 0 = -y*b + 4*w for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/3, 0.2, 1\/8, -4, 1 in increasing order.\nAnswer: -4, -8\/3, 1\/8, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2212 (base 4) to base 13.\nAnswer: -ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.665 to 2 dps.\nAnswer: -0.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t**3 - 2*t**2 - 6*t. Let f be k(-3). Suppose 20*u**4 - 24 - 16*u - 11*u**3 + 100*u**2 + 12*u - f*u**3 = 0. What is u?\nAnswer: -2\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 682000 to the nearest 10000.\nAnswer: 680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3359, 6731, 10109, 13493, 16883, 20279, 23681?\nAnswer: 27089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 138 - 57. Suppose -1 - d = 2*x. List the prime factors of ((-3)\/(-9))\/(x\/42 + 1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12574693 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -161478+0.06\nAnswer: -161477.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 3*v - 15. Let y(u) = 3*u**2 - 5*u + 3. Let j be y(v). Calculate the greatest common divisor of 135 and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 592\/11 - 54. Let d = -373\/246 + 2\/123. Which is the nearest to 1\/5? (a) d (b) x (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1539709 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of 7*j**4\/8 - 5*j**3 + 30*j**2. Differentiate s(i) with respect to i.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97 = -21*k - 23 + 10 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of 0*u - 11 + u**3 + 0*u**2 - 39\/4*u**4. Find the third derivative of n(r) wrt r.\nAnswer: -234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16854, 12878, 8902?\nAnswer: 4926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by 25.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does -57226081 = -57226081?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6678 + -2?\nAnswer: 6676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 16) to base 3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52 - 36. Calculate the remainder when 77 is divided by l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1285925 and 400?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7 - 44*j**2 + 8*j + 29*j**2 + 225*j**2 + 7 + 58*j**2 wrt j.\nAnswer: 536","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (3 + -1 - 15).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -13. Suppose -7 = -3*x + j, 3*p - x + 20 = 0. Let f = p - -17. Does 5 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -11. Suppose 0 = w*v - 0*v - 5*a - 12, 5*v - 2*a - 30 = 0. Does 8 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5216075126?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -m**8\/5040 - m**6\/240 + m**5\/20 + m**2. Let k(h) be the third derivative of o(h). Differentiate k(b) with respect to b.\nAnswer: -8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9607 - 26*h**2 + 9607.\nAnswer: -26*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -78 + 82. Suppose 40 = -q*i + 8*i. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 + -15. Suppose -4*r = -1 + x. List the prime factors of ((-10)\/r)\/(16\/120).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 4:45 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 480 and 251472?\nAnswer: 2514720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -34, 6432, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -3*f + 16. Determine x(-7).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 1. Suppose 8*c = -70 + 422. Let n = c + -130\/3. Which is bigger: x or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1131 and 117?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of 3*f**2\/2 - 3*f + 9. Let w(s) = s**2 + s. Let h be w(1). Let n be (-1 + h)\/(1\/4). Give c(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 640 - 629. Suppose -4*q = -o + 331, -4*o + 5*q - 3*q + 1282 = 0. Suppose 4*d = o - z. Is d a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2655 is divided by 166?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 6*j = -5*f + 71, -5*j = -15. Suppose 2*z = 6 - f. Let d = 68 - 342\/5. Put 0.3, d, z in descending order.\nAnswer: 0.3, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.195924 nanograms in milligrams?\nAnswer: 0.000000195924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1319519 + 1385495131\/1050. Find the common denominator of u and -137\/150.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -669930 and 9.54944.\nAnswer: -669920.45056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 1\/1884768?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -59 - -60. Suppose -2*x - 3*x = 0. Let c be x\/(-4 + s + 4). Put c, 4, -3 in ascending order.\nAnswer: -3, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 23*t**2. Let u be ((-1)\/(-4))\/(4\/(-16)). Calculate the remainder when 113 is divided by s(u).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 127534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 332530.\nAnswer: 3\/332530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 4731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -13*x**2 - 15*x - 8. Let q(n) = -11*n**2 - 15*n - 7. Give 5*h(d) - 6*q(d).\nAnswer: d**2 + 15*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 474*c**2 + 486*c**2 + 484*c**2 - 1434*c**2. Let d(i) = 2 - 7*i - 2. Calculate r(d(o)).\nAnswer: 490*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 7*l - 2*l - 4*l + l**2 - 2. Let j be -2 - -1*(0 + 0). Let r be a(j). Solve r*d + 3 = d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15350 is divided by 220.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24732 and 447768.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5882\/21 - 280. Let z = -108.6 + 120. Let u = -11 + z. Which is the third smallest value? (a) u (b) g (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 0. Let r be (-51)\/15 + j\/(-5). Let c = -4 - r. Is c < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-76)\/6)\/(2\/(-12)). Suppose 4*y + 8 = o. Suppose 4*x - 19 - y = 0. What is the highest common divisor of x and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -96 less than 253544576?\nAnswer: 253544672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -17*f**3 + 16*f**2 - 4*f + 2. Let i(c) = -375*c**3 + 350*c**2 - 90*c + 45. What is -2*i(n) + 45*k(n)?\nAnswer: -15*n**3 + 20*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d - 4*v - 14, -2*v = -3*d + 4*d + 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 761 - 756. Suppose -q*x + 4*y + 279 = y, -3*x - y + 159 = 0. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**3 + 35*u**2 + 20*u - 39. Give l(18).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 b, and 2 h when four letters picked without replacement from {h: 5, n: 6, u: 1, c: 1, b: 1}.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10424679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 2)*(-6*m + m - 23*m) + 2*m + 4*m + 0*m.\nAnswer: 34*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 5*s**2 + 6*s + 5. Let y be w(6). Is -5 - ((-15)\/y - 489) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 328 = 4*w, 3*w = -w + 5*b + 328. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000353398 to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -n**4\/12 + 2*n**3\/3 - 2*n**2 + 4*n. Suppose 2*v - 2 = -0. Let d(h) = h**2 - h + 1. Determine v*f(c) + 4*d(c).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (46 - 46 + 60*h)*(10 - 15 - 10) + 0 + 0 - 2*h as s*h + x and give s.\nAnswer: -902","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 - -30. Suppose -48 = -5*g + o - 7, -d*o = 5*g - 38. Suppose 941 = 9*p - g*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 7, -3.9, 3, -3 in decreasing order.\nAnswer: 7, 3, -0.3, -3, -3.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -109*k**2 + 281 + 357*k**2 - 119*k**2 + 2*k**4 - 81*k**2 wrt k?\nAnswer: 8*k**3 + 96*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.22 - 4.22. Let f = -5 - n. Let v = f + 0.9932. Round v to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -954?\nAnswer: -956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 931140923?\nAnswer: 19, 47, 163, 6397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7\/3 - 1\/3*r**2 - 2*r = 0. What is r?\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2*q - 12 = 0. Let f be 4\/(-30)*q + (-26)\/10. Suppose -4*x = 16, 3*s + 28 = 5*s - 5*x. Sort f, s, 14 in decreasing order.\nAnswer: 14, s, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 7*x**2 + 4*x + 8. Let v(j) = 2*j. Let g be v(12). Let o be -2 + -4 + g + -2. Let z = o - 10. Determine n(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of c**3\/2 + 93*c. Let h(m) = 35*m**2. Determine h(q(s)).\nAnswer: 315*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 43 = -3*m. Let q = -18 + m. Let d(p) = p + 2. Let o be d(2). Solve q*u + 22 = o*n, 5 = 2*n + 5*u - 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5282.04 grams in micrograms?\nAnswer: 5282040000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22392 is divided by 4406?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - h - 2, 0 = 3*q - 6*h + 3*h - 6. Let w be 0\/(q - -2) + -7. Is 3\/(-2)*(w - -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 3:24 AM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2110 - 1230. Let n = d - 797. Which is greater: 86 or n?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4 + ((sqrt(80) + (3 + sqrt(80))*6)*-1 + -4 + (sqrt(80) + -2)*4)**2).\nAnswer: 1440*sqrt(5) + 3248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -79 - -85.6. What is f rounded to 0 decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10511 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + 6*c + 9. Let w be s(-5). Solve -4*i - w + 0 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16*67373292\nAnswer: 1077972672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r - 1. Let x be c(-1). Let t(v) = -v**3 + 9*v**2 - 3*v - 5. Let w(s) = -2*s**3 + 14*s**2 - 6*s - 9. Let n(q) = 5*t(q) - 3*w(q). What is n(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 308, 544, 894, 1358, 1936?\nAnswer: 2628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, o: 1, d: 1, c: 3, k: 1}. Give prob of picking 2 o, 1 d, and 1 m.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 87445 (base 9) to base 13\nAnswer: 204c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36015*v**3 - 67991*v**3 + 35787*v**3 - 2*v + 2*v.\nAnswer: 3811*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a week in minutes?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*b**3 - 233*b**4 - 225*b**4 + 459*b**4 + b**2 in the form r + o*b**2 + k*b**4 + q*b + p*b**3 and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f + 1738 = 30. Let l = 107 - f. Let v be (-7)\/35 + 342\/l + 1. Which is smaller: v or -19?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3 + 73430*v**2 - 1322226*v + 5950746.\nAnswer: 2*(v - 9)**2*(v + 36733)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -191 - -3249\/17. Let b = -0.4 + 0.4. Let p = 0 - b. What is the second biggest value in 0.3, g, p?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**2 + 20*n + 1. Let f be y(6). Suppose -13*r + 45 + 592 = 0. Calculate the greatest common divisor of r and f.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*2*(-3)\/(-28). Let m = 24 + -47\/2. Let y = -80 - -84. What is the nearest to m in y, g, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 420940 a multiple of 434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 10*i + 0*i)*(-i + i + 2*i)*(17*i**2 - 84*i**2 - 28*i**2).\nAnswer: 1710*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/693 + 382\/99. Suppose 97 = 5*q + 4*v, 4*q - 8*q + 76 = 4*v. Calculate the common denominator of (-191)\/q - (-2)\/3 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of -c**4\/24 + 39*c**3\/2 + 70*c**2. What is the units digit of a(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 136*l - 1199. What is the remainder when 32075 is divided by r(11)?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2780570 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -4*b**2 - 39*b + 5. Let v be y(-9). What is the highest common factor of 112 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (7 + -15) - (4 - (2 + -7 + 1))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22 or 13135?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 4*c - 32, -3*c - c = -5*z + 10. Suppose 4*d - 8 - 4 = 0. Let p(j) = -d + z - 3 - j. Let q(k) = k. What is -3*p(x) - 2*q(x)?\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 1:21 AM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167*q**2 + 2308*q**2 + 6249*q + 1214*q**2 - 1.\nAnswer: 3689*q**2 + 6249*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 2624.\nAnswer: 7872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57 - (-101 + (8 - -181)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 - 15 = -18*y. Find the second derivative of 0 + 18*m**2 + 3*m**2 - 568*m + 2 + 625*m + m**y - 3 wrt m.\nAnswer: 12*m**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/9 - (4433\/(-99) + 9)) + 4. Let f be 166\/3*(-1 + 4). Let g = j + f. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -5*q + 11. Calculate f(-14).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.3 + -27.7. Let o = m - -29. Let w be (-24)\/(-210) + (-4)\/10. Which is the closest to w? (a) 2 (b) 0.3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c - 3*c - 2*c - 21 + 4. Let j be w(-7). Let t = -20 + j. What is the remainder when 54 is divided by t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -948*q = 8773 - 54992 - 19193 for q.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 329, 2697, 9147, 21725, 42477?\nAnswer: 73449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/50 of a hour?\nAnswer: 216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*u**2 + 6229050*u + 7118960.\nAnswer: -5*(u - 177974)*(7*u + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 9*s**2 - 7*s - 8. Let h be g(7). Let v be h\/14 + -4 - -1. Which is smaller: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93813 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 48 * -0.4908.\nAnswer: -23.5584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3*h**3 + 2*h**2 + 3*h + 2. Let d be q(-1). Suppose -6*z = -34 + d. Solve z*u = 3*u - 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/3, -3, -2, -2\/5, 18419, 0.4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 1)*(-5*b + 4*b + 2*b)*(14*b + 67612*b**2 - 16*b - 71080*b**2).\nAnswer: -6936*b**3 - 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.346994668 to 1 decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of v**5\/15 + 22*v**2. Let c(g) = -g - 1. Let b be c(-4). Let o(a) = b - 3*a - 3. Calculate i(o(z)).\nAnswer: 36*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 836 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-3)\/(1755\/(-18))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*l - 22*l**2 - 11*l**2 + 2*l**3 - 4*l**3.\nAnswer: -2*l**3 - 33*l**2 + 25*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**3\/5 - 4*z**2 - 66*z\/5 - 72\/5 = 0.\nAnswer: -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhhhhhkkhhkhh. Give prob of picking 3 h and 1 k.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 21.2172 * -0.2\nAnswer: -4.24344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27287924 by -1.\nAnswer: -27287924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -268243 (base 12) to base 14.\nAnswer: -127c1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/5 of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-seven quarters of a millimeter?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18673 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-21)\/(-12))\/7)\/(-1)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 - 9*w - 8. Let b be k(-7). Let j(g) be the first derivative of -g**3\/3 + 5*g**2\/2 + 5*g - 1. Determine j(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50284855*0.5\nAnswer: -25142427.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*p - 4*r - 2, 2*p - 3*r - 23 = 0. Suppose -p*m = -0*m - 196. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10984501?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8a0462 - 18?\nAnswer: 8a0446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - u + 21. Let m be 2*(519\/6 + -3). Suppose 4*z - m = 29. Calculate the greatest common factor of z and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -r**6\/40 + r**5\/12 + r**4\/12 - r**3\/6 - 7*r**2. Is k(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 7*l**3 - 2*l**2 + 3*l + 1. Let j be z(4). Let p(a) = 1440*a - 4307. Let w be p(3). What is the highest common divisor of j and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2135802 is divided by 711929?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30005\/6 - 4990. Find the common denominator of m and 12\/(612\/255) + (-73)\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 2, -125 in ascending order.\nAnswer: -125, -4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + (0 - 0))*3. Suppose 4*q - 16 = -b*o, -2*o - 2*q = o - 8. Let i(c) = -c**3 - c**2 - c + 6. Is i(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-5) - (-28)\/10. Let y = -202725 - -202727. Solve y*a - 2*n = -3*a + 22, -4*n = f*a - 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**5 - 5*m**2 + 5*m**2 + (41*m**3 + 953 - 1906 + 954)*(2*m**2 + 2*m**2 - 3*m**2) + (-m - 1 + 1)*(-2*m**4 - m**3 + m**3).\nAnswer: 44*m**5 + m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 27 = -2*y - 25, y + 4*j + 6 = 0. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + (-120)\/9)*(-102)\/68. Is (-2)\/(-9) + (24310\/45)\/l a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -405 = 21*j - 119*j - 1973 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of -w**4\/24 + 3*w**2. Let a(p) = 2*p + 5. Let v(t) = -t - 2. Let r(o) = 2*a(o) + 5*v(o). Determine i(r(x)).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-1\/6))**21\/(z**(2\/19)\/z*z\/z**6) assuming z is positive.\nAnswer: z**(1155\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 474 and 328.\nAnswer: 77736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 5, 4, -96, 1 in descending order.\nAnswer: 5, 4, 1, -27, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**3 - m**3 - 2*m**3)*(0*m**2 + 0*m**2 - m**2) - 2*m - 2*m**5 + 2*m - m**5 - 72*m**2 + 72*m**2.\nAnswer: m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9147552 is divided by 531.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14283*y**5 - 1497645*y**4\/2 + 3860724*y**3 + 322288239*y**2\/2 + 489639360*y - 1106380800 = 0. What is y?\nAnswer: -7, 3\/2, 2240\/69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3\/7)*n**(-3\/8))\/(n**1)**(-1\/23) assuming n is positive.\nAnswer: n**(-979\/1288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 101120 (base 5) in base 15?\nAnswer: e90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + 84\/(-15) + 3. Let q(w) = w**3 - 7*w**2 + 5*w + 4. Let d be q(6). Let t be d\/(-7) + 45\/(-84). Which is the nearest to t? (a) 0.2 (b) -0.3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5879.\nAnswer: 5879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -4*y + 352, 3*y + m - 162 - 91 = 0. Let o = y + -30. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -19032, -19025, -19008, -18975, -18920, -18837, -18720, -18563?\n\"Answer: t**3 - t**2 + 3*t - 19035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45905 is divided by 741?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -4*n - 16, -v - 8*n = -11*n + 8. Let l(s) = s - 7. Let i be l(0). Let a(o) = o + 1. Let q(r) = -r - 1. Let d(y) = i*a(y) + v*q(y). Determine d(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 488026704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17054?\nAnswer: 2, 8527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -3. Suppose 0 = -12*u + 17*u - 4*w - 26, -5*u + 35 = 5*w. Solve -2*p - u = t for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (-3 + -2)) + -6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 4:57 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 w, and 1 e when three letters picked without replacement from {m: 1, e: 2, w: 4}?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*s + 18*s + 3. Let p(r) be the first derivative of r**4\/2 - r**3\/3 - 2*r**2 + r + 1170. What is p(s)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-14))\/((-14)\/98)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 93130972?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7115*o**2 - 16484 wrt o.\nAnswer: -14230*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (88\/(-1430))\/((-2)\/5)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3298, 6744, 10186, 13624, 17058?\nAnswer: 20488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 24 + -6 + (-4 - -8) + -4\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = h - 3*j - 13, -5*j = 5*h - 85. Suppose 5*r + 0*m = -2*m + h, -m - 5 = -r. Suppose 4*l + r*f = 3*f + 243, 0 = l + 2*f - 66. Is l a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -165 or -3\/5?\nAnswer: -165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 0, 4, 14, 590 in ascending order.\nAnswer: -17, 0, 4, 14, 590","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 126 * -0.24\nAnswer: -30.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 37062395 to the power of 1\/3, to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 479876 and 136.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49 - 47. Calculate the lowest common multiple of 16 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**3 + 18 - 1261866*v**2 + 1261868*v**2 + 6 to h*v**3 + g*v**2 + q + x*v and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 6*q**2 + 4*q + 1. Let j be v(5). Let b = 4.4 - 4. Let n = -1.4 + b. What is the closest to 0.1 in 3, n, j?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3*l**2. Suppose 3*g = 2*s + 7 - 1, -5*s - 5 = -5*g. Let u(h) be the second derivative of 0*h**2 - 1\/3*h**4 + 0 + 0*h**s - h. Calculate w(u(f)).\nAnswer: 48*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 8\/147, -1, 17.\nAnswer: -14, -1, 8\/147, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 261*a**2 - 8 + 115*a**2 + 1 + 7 in the form l*a + f + o*a**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1 + sqrt(192) + 1 + -1 + -5 + -5)**2.\nAnswer: -128*sqrt(3) + 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 1:29 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, z: 1, k: 1, q: 4, o: 2}. What is prob of picking 1 z, 1 d, and 2 o?\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**2 - 16*w + 30*w + 117 - 17*w - 2*w**2 - 2*w**3 to the form a*w**3 + c*w**2 + l*w + j and give j.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -v**4\/6 - 5*v. Let g(z) = -3*z**2 + 2*z - 2. Let w(q) = -q**2 + q - 1. Let s(n) = 3*g(n) - 6*w(n). Determine m(s(h)).\nAnswer: -18*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/4 and (-4)\/(-14) + 397\/(-42).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 660 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16393 or -9073?\nAnswer: -9073","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26615193?\nAnswer: 3, 11, 806521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from xxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 876 - 878. Let y(v) = -v**2 - 7*v - 4. Let u be y(h). Let p(x) be the third derivative of x**4\/24 - x**3\/3 + 2*x**2. What is p(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 3*i)*(3*i - 1 + 1)*(3 + 0 + 1).\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-296)\/888)\/(4\/(-10))\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 2, -38*k + 40*k - 3*o - 6 = 0. Suppose 6*h + k*h + 66 = 0. Let r(j) = -6*j - 11. Let n(s) = -s - 2. Determine h*n(c) + 2*r(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 32650519, 65301040, 97951561?\n\"Answer: 32650521*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 4:58 AM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/3 and (2 + 3)\/((-1)\/(-7)*3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 250\/(-5) - 43927\/(-872).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/1337? (a) -2\/3 (b) 0 (c) 0.04 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -129*o + 734 + 943 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(1\/4))**(-6) assuming a is positive.\nAnswer: a**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81660431?\nAnswer: 277, 294803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 11\/(-5) - (-3)\/15. What is the closest to a in 0, -5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15098050 divided by 1.\nAnswer: 15098050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rerrrrerrerrrrrr. What is prob of picking 1 e and 1 r?\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3\/2, 5\/19, -1\/4, -7, 1 in descending order.\nAnswer: 5, 1, 5\/19, -1\/4, -3\/2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 + -11. Suppose 0 = -89*x + 92*x - 12. Let n = 29 + x. What is the remainder when n is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -12*u**3 - 4*u + 2. Calculate s(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13312970 to the power of 1\/2, to the nearest integer?\nAnswer: 3649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299 is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17 times 1.7429399?\nAnswer: 0.296299783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, x: 12, e: 1}. Give prob of sequence xn.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 52826, 54858, 58240, 62972?\n\"Answer: 675*b**2 + 7*b + 52144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 166551053?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1227 + -1224. Solve 4*w - x*w = -5*p - 17, 5*w = -3*p + 3 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in ten ninths of a day?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 2\/272269?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -845*m + 131*m - 291*m.\nAnswer: -1005*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/13 (b) 1158 (c) -0.2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131984 is divided by 394?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30 - 18. Calculate the remainder when f is divided by 4 + (12\/4 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away -472?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4043928ml in litres?\nAnswer: 0.0004043928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 7. Let s = z - -1.3. Let o = -2.7 - s. Which is the closest to -1? (a) 2 (b) o (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of 0 - 1\/48*g**4 + 0*g + 30*g**2 + 0*g**3 - 1\/120*g**5. Factor a(x).\nAnswer: -x*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 89 + -89. Solve 3*w + w = h for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (935 + 2422 + 1147)*(-4*s + 3*s - s) + (2*s + 0*s - 4*s)*(0 - 3 + 2) to n + f*s and give f.\nAnswer: -9006","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*(0 + sqrt(605)))**2 - (sqrt(605) + (-3 + -1*sqrt(605))**2 + sqrt(605))) + ((sqrt(605)*-1)**2*1 - -2*1*sqrt(605)))*-6.\nAnswer: -90696 + 396*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i**2 - 20*i - i**2 + 6*i + 6*i - 23 + 22*i. Calculate g(-15).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 n, and 2 d when four letters picked without replacement from {n: 8, d: 9, h: 2}?\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22 or -871?\nAnswer: -871","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 2\/7, 2054, 6\/11, -5, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1030200 and 75?\nAnswer: 1030200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 32*d**2 - 252*d + 38. Let h be y(-17). Let a(g) = -g**3 - 10*g**2 + 39*g - 3. Determine a(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2670*c**5 - 2*c**4*u**2 + 12*c*u - 210*u**2 wrt c.\nAnswer: 53400*c**3 - 24*c**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -10, -32, -76, -148, -254, -400?\n\"Answer: -n**3 - 5*n**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14.01 - -14. Let u = 0.21 + i. Which is the nearest to -2\/7? (a) -5 (b) u (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18*(48\/9)\/4. Let w = b + -16. Suppose -2*f = -3*s + w, -4*s + 4*f + 7 + 1 = 0. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 34*x. Let z(m) = m - 3. Let p(g) = -12*g + 12. Let a(y) = p(y) + 4*z(y). Determine a(n(q)).\nAnswer: -272*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**2 - z**2 + 5*z**2)*(-1 + 0 + 0) - 2*z + 2*z + 2*z**2 - z + 3*z**2 + z - 201 + 2*z**2 + 212799*z - 212799*z.\nAnswer: 6*z**2 - 201","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 74*m**3. Let b be t(-1). Let l = b + 261. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1171.94 - -2835.31575\nAnswer: 4007.25575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 4*w**3. Suppose -3*p + 15 = -o, 0*p = -2*o + 2*p - 18. Let h(d) = -5*d**3 - 1. Let i(u) = o*b(u) - 4*h(u). Find the first derivative of i(t) wrt t.\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 3*q + 0*q)*(7 + 2 + 6).\nAnswer: -30*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -8*a**2 + 4*a - 2. Give b(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 64045164 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -51 divided by -418\nAnswer: 51\/418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 3*u - 3*g + g, -5*u + 69 = g. Solve 2 + u = 5*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*(-50)\/(-375))\/(44\/3245)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -0.017137, -1, 0.5, 11?\nAnswer: -0.017137","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-5))\/(3\/15). Let t be 6\/m*(2 + 0). Let b be 438\/12 - 2\/t. What is the greatest common divisor of b and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8674.14 millilitres in litres?\nAnswer: 8.67414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 g when three letters picked without replacement from kcggdgggcgcuk?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -303 - 3?\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25 and 30.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 d when three letters picked without replacement from bxxtxltxdxtdlldmxxm?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -184 - -177.65. Let x = -6 - b. Round x to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13242, 13253, 13264, 13275?\nAnswer: 13286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.302277 millennia in years?\nAnswer: 1302.277","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 340119000 a multiple of 2600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 6*b - 2*l + 81, -b = 4*l + 7. Solve -5*p - b = 4*s, 3 = -p - 5*s + 13 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 113 + -7 + 12. Suppose -f*y = -120*y + 12. Which is the nearest to 0? (a) y (b) 18 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 7*q + 1. Let j be k(0). Let o(a) = 2460*a**3 + 4*a**2 - 2*a - 1. Let l be o(j). Let t = l - 410986\/167. Which is bigger: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 15*z**2 - 2. Let q(j) = j + 4. Let p(w) = 3*w + 10. Let f(i) = 4*p(i) - 10*q(i). What is x(f(v))?\nAnswer: 60*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/26 + 568\/52. Let t(l) = r + 1 + 6*l - 8 - 4. Let n(w) be the second derivative of w**3\/3 + w. Calculate t(n(u)).\nAnswer: 12*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 - -63. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4\/3)\/j**9)**(-1\/23) assuming j is positive.\nAnswer: j**(31\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*u - 4 = 71*u. Differentiate -6*t**4 - 8 - t**u + 16 + 26 wrt t.\nAnswer: -28*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -38\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*(y*y**(-3\/10)\/y)\/y))**22*(y**(3\/4)\/y)**42 assuming y is positive.\nAnswer: y**(181\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -310 - 13141021?\nAnswer: -13141331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 3*f - 54429 = 257963. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x**3 - 3*x**3 + 549 - 548)*(1 - 2*x - 1) + (x**4 + 0*x**4 + 2*x**4)*(250 - 229 - 191).\nAnswer: -514*x**4 - 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 59*v**2 + 16345*v - 34374. Let z(i) = 9*i**2 + 2725*i - 5729. Let q(g) = -2*c(g) + 13*z(g). Differentiate q(t) with respect to t.\nAnswer: -2*t + 2735","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(847)*-1 - sqrt(847))*-1)**2.\nAnswer: 3388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*i, -5*o - 23 = 2*i + 8. Let s be (-35)\/o - (-122 + -3). What is the greatest common factor of 462 and s?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1514 - 1393. Let d(t) = -t**3 + 7*t**2 + 9*t - 34. Calculate the remainder when i is divided by d(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9626 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.500463 minus 7899971?\nAnswer: -7899973.500463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -3\/461429?\nAnswer: -3\/461429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -3*q - 6. Let b(x) = 7*x. Calculate b(r(v)).\nAnswer: -21*v - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/2 - 0\/(-2). Let q(p) = -4*p - 23. Let v be q(-7). Let h = 7 - 7.1. What is the closest to h in v, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-v**2 - v**2 + v**2)*(-4*v**2 + 15*v**2 - 9*v**2) + (0*v**3 - v**3 + 2*v**3)*(v - 3 + 3) to h + z*v**3 + n*v**4 + y*v + f*v**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**6*(w\/w**(-4))\/w)\/(w**(-1))**(-39))**(-1\/2) assuming w is positive.\nAnswer: w**(29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72975, -72972, -72969?\nAnswer: -72966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -933*l. Let b(g) = -g. Determine b(u(x)).\nAnswer: 933*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 24402 (base 10) to base 12\nAnswer: 12156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 12:50 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 556*a - 1104. Determine r(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -21*j + 0*j**4 - 14\/5*j**5 + 0*j**2 + 3 + 0*j**3. Differentiate x(g) with respect to g.\nAnswer: -56*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1857242645*k**3 - 31571583125*k**2 + 26210960*k - 5440.\nAnswer: -5*(k + 17)*(19273*k - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/40*1\/6.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 805662 a multiple of 429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2*f - 15023 - 28173, -5*f + 2*d + 108004 = 0. Does 40 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4*l**3 - 3*l + 5. Let q(j) = 3*j**3 + 2*j - 6. Let i(p) = -2*h(p) - 3*q(p). What is the first derivative of i(r) wrt r?\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 927*b**3 + 1001 wrt b.\nAnswer: 2781*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -575, 1, -1 in increasing order.\nAnswer: -575, -5, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -82.\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -8*x + 21. Let j(n) = -n + 3. Let i(g) = 6*j(g) - o(g). Let w(d) = -2*d**2. Calculate i(w(p)).\nAnswer: -4*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.5, 1, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 60 = -2*s, 68 = 4*j - 5*s + 9*s. Solve 5*o + j = -2 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q + 2*y = -118, -5 = -783*y + 784*y for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-43 + 65 - 42)*(322*u - 474*u + 348*u) in the form d + p*u and give p.\nAnswer: -3920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - o**2 + 0 + (8*o + 4*o + 0*o)*(2*o - 4 + 8 - 3).\nAnswer: 23*o**2 + 12*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 28 = 4. Suppose -4 = -3*l + j. Suppose -u + l*z = 3*u - 36, u - 2*z = 8. What is the remainder when 27 is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (140\/75)\/((-18)\/(-135)). Solve h - 4 = -y + 2, -k = -3*y - h for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 5*b = 40, 0 = -3*z - 628*b + 634*b + 24 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -23*j**2 + 6*j - 55. Let o(s) = -47*s**2 + 14*s - 112. Let b(t) = 2*o(t) - 5*p(t). What is the derivative of b(a) wrt a?\nAnswer: 42*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -r**2*z**3 + 261*r**2*z - 16*r*z**4 + 4*r*z**2 + 2*z wrt z?\nAnswer: -6*r**2*z - 192*r*z**2 + 8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 r when two letters picked without replacement from {x: 1, j: 1, r: 1, n: 3, d: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -112.8 times -274?\nAnswer: 30907.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 13) in base 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 5*k**2 - 4. Suppose -3*w + 7*z - 3*z - 1 = 0, -3*w + 35 = 5*z. Let f be b(w). List the prime factors of (-1)\/((f + 1)\/321).\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -99 + 107. Let b(f) be the third derivative of 0 + f**3 + 5\/8*f**4 - 1\/112*f**g + 9*f**2 - 2\/35*f**7 + 0*f + 1\/10*f**5 - 1\/10*f**6. Solve b(j) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 8:06 AM?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 53439884 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(2) + (sqrt(2) - sqrt(16)\/sqrt(72)))**2 + -5) + 4.\nAnswer: 56\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 5, -4\/7, -3, 13?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00160621665 to six dps.\nAnswer: -0.001606","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5894 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -367*f = -4*h - 362*f + 35, -5*f + 5 = 0 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 275 = -3*q, 6*c + 3*q = 2*c + 220. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of v**4\/4 + 7*v**3\/3 - 9*v**2\/2 - v + 3. Let y be t(-8). Solve w = -2*b - y, b + 4*b + 10 = -5*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 4*c - 12, 4*c = 2*p + p + 13. Let b(h) = -2*h - 2*h - p + 0*h - 6*h. Suppose -l - 23 = -4*l - 5*a, 9 = l + 2*a. Give b(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.816 - -14.454. Put -1\/4, r, -5, 0.2 in descending order.\nAnswer: r, 0.2, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89604 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -8*a + 12. Let h(n) = -4*n + 7. Let p(q) = -5*h(q) + 3*r(q). Let c = 47 - 41. Let z(f) = f. Determine c*z(w) + p(w).\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*m = -206*m - 448*m + 21*m + 36600 for m.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -22 from -109667.71.\nAnswer: -109645.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12029748 by 3007437.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 + -14. Let m = x - -1. Suppose 1 = -p - m, 3*p + 14 = -j. Solve 2*w + 3 + j = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1279940989?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - 2. Let x(r) = r**2 + 14*r + 17. Let g be x(q). Solve 20 = g*w - 0*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.04 + 2.96. Let d = -917 + 922. Sort d, c, -9 in descending order.\nAnswer: d, c, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 171?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -64*n*z**6 + 6*n*z**3 + 615*n*z**2 - 2*n*z + z**5 wrt z?\nAnswer: -7680*n*z**3 + 36*n + 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*b + 52 = -32 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -94*p**3 + 4*p**2 - 4*p - 202. Let m(a) = 92*a**3 - 5*a**2 + 5*a + 203. Let y(r) = -4*m(r) - 5*s(r). Differentiate y(g) wrt g.\nAnswer: 306*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 434332169 and 298.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64355, 131243, 198131, 265019, 331907?\nAnswer: 398795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 76 and 2413?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3404804676?\nAnswer: 2, 3, 7, 13, 17, 37, 4957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216 = 2*w - 126. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 190?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a hour in minutes?\nAnswer: 768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(3\/4)\/(36\/120). Let r be (16\/v)\/(8\/40). Suppose 14*g - r*g = -8. Which is greater: g or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in years?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 4*v**2 + 14*v + 58. Let w be m(-4). Solve n - 2 = w*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i + 3. Let b(o) be the second derivative of 2*o**3\/3 - o**2 - 37*o. Give 3*b(h) + 2*g(h).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -20*m - m**3 - 31*m + 42*m**2 + 14*m - 24*m**2 + 16. List the prime factors of a(9).\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*f - 6*z - 16 = -10*f, 3713*z = 4*f + 3708*z - 20 - 61 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 11:40 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r**2 + 6*r**2 + 4*r**2. Let k(h) be the first derivative of -h**6\/120 - 2*h**3 + 26. Let u(q) be the third derivative of k(q). What is u(s(z))?\nAnswer: -147*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -910*i**3*m + 50*i**3 - 276*i**2 - 16*m wrt m?\nAnswer: -910*i**3 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 12, -v + l = 3*l - 9. Let j(c) = 3*c**3 - c**2 - 4*c + 6. Let s be j(v). Solve -4*t = -4*m - 16, -m + 2*t + 8 = s*t for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3281 is divided by 27?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**2 + 2*j**2 - 2*j**2)*(8176*j**2 - 8176*j**2 + 360*j**3).\nAnswer: 1080*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1019 is divided by 54?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52062, 104117, 156152, 208167?\nAnswer: 260162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + sqrt(44)\/sqrt(4) + sqrt(11) + -2 + 0 + sqrt(11) + 0.\nAnswer: -2 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 10:10 AM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j + 14. Let b be s(-11). Find the common denominator of (-5 - (-102)\/b)\/((-30)\/(-9)) and 37\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)\/sqrt(72))\/(sqrt(18)*-5).\nAnswer: -sqrt(7)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 63 + (-39 - -5 - 40)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.9501431ml?\nAnswer: 0.0009501431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-1 + 3 + -5 + 7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/324 and -49\/1242.\nAnswer: 7452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 276763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -k**4\/4 + k + 6. Let a(j) = -j. Let m(q) = -8*q**2 + 88*q. Let n(u) = 352*a(u) + 4*m(u). Calculate h(n(s)).\nAnswer: -3072*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*g - 18553 = -174*g - 4449 for g.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12)\/(-70))\/(((-16)\/28)\/(-4)). Factor -h*d + 2\/5*d**2 + 4\/5.\nAnswer: 2*(d - 2)*(d - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 11*i + 8 + 11 + 15*i - 40.\nAnswer: 26*i - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 h when two letters picked without replacement from {o: 4, h: 1, q: 5}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -845, -2822, -6129, -10772, -16757, -24090?\n\"Answer: -r**3 - 659*r**2 + 7*r - 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13804160 and 3200?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wuiiimmhmgimwwmhhmu. What is prob of picking 1 w and 1 i?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7724238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(170) + sqrt(170)*-1) - (-2*-1*sqrt(170) + sqrt(170)))\/((sqrt(100)\/(2*sqrt(10)) + sqrt(10) + sqrt(10) - sqrt(10))*2).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*a + 1 = 23*a. Which is bigger: 12\/31 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 113 = -w, -w = 4*i + 4*w + 119. Let y be (-189)\/i*(-8)\/(-3). Let s = 66 + y. Is 16 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3659\/6 + -602. Find the common denominator of k and -68\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 5*p - 27 - 72, -h - 2*p - 134 = 0. Let n = h + 117. Which is the second biggest value? (a) n (b) 2\/9 (c) 2\/3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7043795 to the power of 1\/3, to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2. Let d(x) = 208912*x - 8228. Let t(v) = -839*v + 33. Let z(g) = -3*d(g) - 748*t(g). Give m(z(a)).\nAnswer: -698896*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 228 (b) 0 (c) 1 (d) 1.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5676867 and 170306010.\nAnswer: 170306010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3679782961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4512 - -265. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l. Let m be -1 + 3 - 36*(-4)\/(-2). Let q(o) = 16*o**2 + 2*o + 2. Let r(d) = 273*d**2 + 35*d + 35. Let x(a) = m*q(a) + 4*r(a). Calculate b(x(s)).\nAnswer: 56*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9469 and 19.\nAnswer: 179911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 10:54 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -41 (b) 0.3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*c - 0. What is the second derivative of -3*k + 2*k - c*k**3 - k + 4*k wrt k?\nAnswer: -18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 609 is divided by 176?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-3))\/((-2)\/(-21)). Suppose 5 = 4*v - i. What is j in 0*j - 2\/7*j**5 + 0 + 2\/7*j**v - 2\/7*j**2 + 2\/7*j**4 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/7 + 176*t**2\/7 - 4034*t\/7 + 7380\/7.\nAnswer: -2*(t - 45)*(t - 41)*(t - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2139 - -17673. What is the ten thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4)\/1*(-33)\/((-66)\/40)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2069099 * 0.36.\nAnswer: 744875.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(162) + 1 + 4 + sqrt(162) + sqrt(162) - sqrt(162)) + 5 + -2 + sqrt(162) + 3)*4 + -2)**2.\nAnswer: 13680*sqrt(2) + 66244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79, 167, 261, 361?\nAnswer: 467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 665772.1 centuries?\nAnswer: 798926520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 7:17 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15509 - 4099. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 53684 - 161095 = 2*j, -2*n = 2*j + 42968. Let k = n - -472479\/22. Let g = 5716 + -57233\/10. What is the common denominator of k and g?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2386988, 4773968, 7160948, 9547928?\n\"Answer: 2386980*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-59)\/118*50\/4*38\/(-190).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -7 (b) -1 (c) 6 (d) 5 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of s**7\/840 + s**6\/90 + s**5\/60 - s**4\/6 + 17*s**3\/6 - 13*s**2. Let l(r) be the first derivative of x(r). Determine l(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 2 - 2)*(3*y**2 - 6*y**2 + 2*y**2) - 2*y**3 + y**3 - 4*y**3 + (-6*y + 3*y - y)*(-3*y**2 + y**2 + 4*y**2).\nAnswer: -10*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.8 times -4?\nAnswer: -91.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.295117ng in micrograms?\nAnswer: 0.007295117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 172176 and 80.\nAnswer: 860880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 3*t - 154 - 575, 2*y - 484 = -3*t. Is 32 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -13*f**2 + 1 - f**3 + 0*f - f + 8*f**2 + 4*f**2. Let l be z(1). Let c be 58\/10 - (4 + l). Is c less than -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -89, -280, -567, -950, -1429, -2004, -2675?\n\"Answer: -48*r**2 - 47*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 163837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6024974621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*r**2*v**2 + 324*r**2 - 3*r*v - 543*v**2 wrt v?\nAnswer: 4*r**2 - 1086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -60*w**2 - 4*w - 16. Let i be u(7). Let d = i - -65663\/22. What is the common denominator of d and -25\/32?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.215 - 1.515. What is the smallest value in -0.5, i, -0.6, 3\/4?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1072 (base 9) in base 14?\nAnswer: 40a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.008, -1\/2, -79, -11?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15918533 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 163.42 to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 - ((-1 - -3) + -4). Suppose -13 = -2*o + j. Calculate the greatest common divisor of 85 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275)\/sqrt(44))\/(sqrt(40)\/(2*sqrt(8))) - (sqrt(405) + 0 + sqrt(405))**2*2*1.\nAnswer: -3240 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-120)\/480*(-8)\/6 - -13*1?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 41*c**3 - 4*c - 6. Determine u(-2).\nAnswer: -326","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 46301 and -410 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (11\/(-2))\/(4\/(-8)) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 120, 198, 274, 348, 420, 490?\n\"Answer: -c**2 + 81*c + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 4*t**2 + 135*t - 556. What is the remainder when 3444 is divided by k(5)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -17, -1, -1\/6, 0.16, 4?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8862, -8838, -8838, -8856, -8886, -8922?\n\"Answer: w**3 - 18*w**2 + 71*w - 8916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2072 a factor of 38961066?\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 7:32 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/(612\/24))\/4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + g**2 + 2*g + 132. Let a be d(0). Suppose -5*p - 590 = -5*u, -u + 28 = -3*p - 90. Suppose 0 = -v - u - a. What is v rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (20\/(-6))\/(4\/(-6)). Let w be (-2)\/(-5) + 18\/n. Calculate the remainder when 41 is divided by (w\/3)\/((-2)\/(-21)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-1 - -4 - (18 + -16)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = z - 33, 3*x + 3*z + 41 = -x. Let f = x + 21. What are the prime factors of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 9:29 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 16530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 722451836?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2.0621 - 1227\nAnswer: -1224.9379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cmct when four letters picked without replacement from {x: 3, c: 3, m: 4, t: 3, d: 4}?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.051 + -0.551. Suppose -4*h + d - 4 = 0, 4*h = 3*d - 7*d - 4. Which is the biggest value? (a) h (b) 0.4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/13 (b) -5 (c) 0.6 (d) -4 (e) 1\/3 (f) -90.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - p**2 + 0 + 0)*((4 - 4 + 3)*(-2*p - 1 + 1) - p + 4*p - 2*p)*(42*p**2 + 37*p**2 - 91*p**2).\nAnswer: -60*p**5 - 180*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**4 + 115*x**3 - 105*x**2 - 115*x + 110.\nAnswer: -5*(x - 22)*(x - 1)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 85.16 + -84. Round t to one decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 3 - 6. Let s(i) = i**2 - 6*i. Let x(f) = -3*f. What is g*s(m) - 6*x(m)?\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 363 is divided by 3513\/1171*(0 + (-58)\/(-6))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 5*w - j + 98 = 0, -4*j = 4*w - 72. Suppose -4*g + w = g. Solve 2*h + 5 + 11 = g*t, 2*t - 8 = -3*h for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -372, 2\/9, 2?\nAnswer: -372","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ylllylyylllyyylllyyy. What is prob of sequence yl?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4917, 4, -17 in decreasing order.\nAnswer: 4917, 4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6309 - 6308. Let x(j) = 11*j**2 + 2*j - 3. Let n(i) = i**2 + i - 1. Let b(o) = 4*n(o) - x(o). Calculate b(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3094743 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 137.25 - 139.25. Put -1\/3, o, 2\/7, -0.3, 1040 in decreasing order.\nAnswer: 1040, 2\/7, -0.3, -1\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 22*k - 92. Let g be f(16). Factor -34*u**2 + 40*u**4 - 23*u**2 + 32*u**3 + 27*u - 43*u**g + u**3.\nAnswer: -3*u*(u - 9)*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 4:45 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -271, -4, 5, 39, 4, 3, 2 in increasing order.\nAnswer: -271, -4, 2, 3, 4, 5, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 2:41 AM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 4*o - 300, o + 6*g - g = 45. What is the remainder when 341 is divided by o?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76077.37549 rounded to the nearest one thousand?\nAnswer: 76000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19030684?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 46392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i\/(i**(1\/12)*i)*i**(-10)\/i*i*i\/i**(-5\/2)*i*i**(-8) assuming i is positive.\nAnswer: i**(-151\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-74592)\/(-104) + -4*33\/572 is divided by 138.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 10 = -4*s + 9*s, 6 = -4*k + 3*s. Solve r + 2 + 1 = k for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, x: 2, i: 4, c: 2, d: 2}. What is prob of picking 1 x, 2 y, and 1 c?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y - 3*m - 71 + 91, -5*y + 20 = -m for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.8103641 to 3 dps.\nAnswer: -2.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4414201 (base 5) to base 16.\nAnswer: 12990","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-196 - -207) + (-12 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 3*n**2 - 2*n - 7. Let t(y) = -5*y**2 - 15 - 1476*y + 0*y**2 + 1444*y. Let h be t(-6). Give v(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 162025 - 3?\nAnswer: 162022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 417 a factor of 2747606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -5*u**3 + u**2 - 2*u + 1. Let j(b) = b**2 - 3*b**2 + 3*b**2 + 9*b + 9. Let w be (-26)\/3 + 4\/6. Let a be j(w). What is m(a)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 43*z + 39. Let o(v) = 26*v + 19. Give -5*o(i) + 3*q(i).\nAnswer: -i + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 924576 is divided by 34241?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -3309 + 3329. Suppose -4*b + 7 = 35. Let p = 26 + b. Solve -8*v + s*v = x + p, 4*v - 5*x = -1 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from atobhabboiahaob. Give prob of picking 1 b, 1 a, 1 t, and 1 i.\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - 1. Let h(q) = q**2 - 7*q - 12. Let r be h(-9). Suppose -2*a = -5*a + r. What is the remainder when a is divided by g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -v**4\/30 + v**2\/5 + 5*v. Determine b, given that a(b) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 88\/770*((-145)\/(-10) + 10). Determine p so that -36\/5*p - 61\/5*p**3 - 84\/5*p**2 - 1\/5*p**5 + 0 - h*p**4 = 0.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -17. Suppose w = i - 2. Let l be i\/(-6)*9\/39. Is -1 != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1\/2, -3.6, 1\/3, 0, 0.5, 1.4?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15832 to the power of 1\/2, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3571*-0.1.\nAnswer: 357.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-8) - 9\/(-6). Suppose 0*o - o = -b. Solve -k + 4*n + 17 = 0, 2*k - 3*n - 12 - o = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 + -19 + 20 + (10 - 10)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1826, -2028, -2240, -2462, -2694, -2936?\n\"Answer: -5*x**2 - 187*x - 1634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 175\/((-14175)\/243) + -5*5\/(-9)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - i - 9 = 0, 2*w - 4*i = -0*w + 6. Which is the fourth smallest value? (a) w (b) -0.4 (c) 0.5 (d) 6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-27))\/(12\/162)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in -3, -86, 1, 25747?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/f**(-2\/3)*f)**(-1\/43)\/((f\/(f**(-1\/2)*f))\/f)**(-32\/5)*(f*f\/f**(-1\/8)*f**(-1\/2))**28 assuming f is positive.\nAnswer: f**(54457\/1290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*r**4 + 5*r**3 - 80*r**2 - 20*r = 0 for r.\nAnswer: -2, -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ztst when four letters picked without replacement from ozsotsyssssszstst.\nAnswer: 9\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -7. Factor 18*s**2 - 27*s**4 - 27*s**3 + 18*s - l + 4*s + 10 + 6*s.\nAnswer: -(s - 1)*(3*s + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -834.327214 + 279.326923. Let t = 555 + n. What is t rounded to 5 decimal places?\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 3:10 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -3*j + 4*k, j - 5*k = -3. Suppose -4 = -j*m + m. Let q = -12410 - -12413. Which is the nearest to q? (a) m (b) -1\/5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 5*v - 5. Suppose -3*m = -2*n - 773, 0 = 3*m + v*n - 537 - 250. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-289)\/51 + 3\/(-9). What is the hundreds digit of c\/10 - 88\/(-55) - -160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = -3*f + 2*f. Let r = f + 221. What is the remainder when r is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 - 26. What is the closest to y in -2\/15, -2\/5, 4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48540 (base 13) in base 2?\nAnswer: 100000011001101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is -43 (base 14) in base 15?\nAnswer: -3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, o: 3, p: 5, v: 2, s: 1}. Give prob of picking 3 p and 1 o.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - 23*n**2 + 62*n - 36. Let i be c(20). Solve -2*u + 4 = -4*s - i, 4*u - 16 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 780 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n = -13*n - 16. Suppose -n - 2 = -3*q - t, -2*q = 4*t - 4. Is q < 5\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + 2*f**2)*(0*f**2 - f**2 - f**2) + 28*f**4 - 2*f**2 + 3*f**2 + 7*f**4 to the form j + n*f**4 + l*f**2 + i*f + s*f**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rwwwi. What is prob of sequence wr?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*v + 250 - 1559. Find the second derivative of v*k - 6 + 1 - 199*k**2 + k**2 + 5 wrt k.\nAnswer: -396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/20)\/(174\/(-580))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-203*((-32)\/(-28))\/(-4))\/(16*61\/(-976))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 6. Does 16 divide 114\/(-1 + 10\/h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 490? (a) -2\/5 (b) -0.3 (c) -5 (d) 0.4 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12667697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5*p = -129, k = -0*k + 3*p + 27. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 86.4? (a) -3\/2 (b) 1\/5 (c) -0.035831\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 248, 246, 242, 236, 228, 218?\n\"Answer: -m**2 + m + 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2337, -7, 2, 3, 1, -5, 5 in descending order.\nAnswer: 2337, 5, 3, 2, 1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 23767739 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.06 - -9.1. Let f = -9 + q. Let d = f + -0.016. Round d to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2634268935?\nAnswer: 3, 5, 175617929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/6 + (-546)\/63 - -17. Solve -82 = -c*j - 49 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 5) to base 15\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 1, -5 in increasing order.\nAnswer: -5, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6166 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 8*o**2 + 17*o + 46. Determine a(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14)\/(-6) + 1\/(-3). Let f(r) = -176*r + 187*r - 36 - 45. Let s be f(9). What is the highest common factor of q and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1217 - 0.1712.\nAnswer: -1217.1712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 60 = 5*q, -4*q + q = 5*d - 36. Let n = 0 - -9. What is the highest common factor of n and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - 8*y + 5. Let j(t) = 7*t - 1. Let b be j(-1). Let h be m(b). Solve -h*w - 1 + 26 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14185?\nAnswer: 5, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 185566 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21512720?\nAnswer: 2, 5, 268909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - k**2 - 3*k - 4. Let x be n(3). Let y(i) = i - 4. Let u be y(x). Let a(v) = 6*v - 1. Let l be a(u). Solve l = 5*m - 0*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 3:20 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 4. Let t be (-2)\/(-4)*(x + -2). Let l be 2 - (-2)\/(2\/13). Solve 6*j - j + l = t for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 302143.\nAnswer: 302143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 16203.23l in millilitres?\nAnswer: 16203230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24 or 19006\/831?\nAnswer: 19006\/831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 72641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -4142\/7 smaller than -593?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*((240\/16)\/(-450))\/(1\/(-51))?\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 20. Let m be (-9)\/o + (-3)\/2. Solve m = -5*i - 2 + 17 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {q: 6, l: 4}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3*x + 5 - 7 = 0, -5*f = 2*x - 18. Suppose -8 = 2*m, -f*z + 3*m + 48 = -0*m. What is the least common multiple of z and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-3) + 1\/(-3). Let f(k) = -2*k + 3. Let m(c) = -2 + 3 + 6 - 6. What is l*f(r) - 2*m(r)?\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m + 13*m + 2 = 27. Suppose 9*w - 14*w + 80 = 0. Put -5, m, w in decreasing order.\nAnswer: w, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*o**3 + 1686251*o**2 - 13142698*o wrt o.\nAnswer: -36*o + 3372502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 - -26. Let g(p) = 10*p - 12. Let m be g(6). Suppose 0 = 5*y - s, c = -y - m + 173. What is the remainder when c is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - q**2 + q + 2. Let o(d) = -8*d**3 + 19*d**2 - 36*d + 4. Let j(m) = -35*g(m) - 5*o(m). Factor j(w).\nAnswer: 5*(w - 9)*(w - 2)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 86 = -5*m, -2*n = -3*m + 2*n + 36. What is the greatest common divisor of 2 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(5 + ((sqrt(931) + sqrt(931) + 0 - sqrt(931) - sqrt(931)) + sqrt(931) + -4)*-5 + 5 + sqrt(931) + 3 + 0 + sqrt(931) + -2))**2.\nAnswer: -32550*sqrt(19) + 233500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 142*k**4 + 14719*k**3 - 1284*k**2 - 328*k + 13.\nAnswer: 3408*k + 88314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -a**3\/2 + 549*a**2\/2 - 100467*a\/2 - 328. Let p(c) = 0. What is c?\nAnswer: 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9429 is divided by 9418?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 2*v**4\/7 + 14544*v**3\/7 + 539586*v**2 + 255310704*v\/7 + 732330720\/7 = 0?\nAnswer: -7005, -132, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/sqrt(3) + -5 - (sqrt(6)\/sqrt(3) + -4)**2.\nAnswer: -23 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -103.26 less than -832534213.3?\nAnswer: -832534110.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**4 - 33 - h + 33)*(2 + 3 - 4) + (3*h**3 + 0*h**3 - h**3)*(-3*h + 10 - 10).\nAnswer: -4*h**4 - h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18111118159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*w**2 + 41*w**2 - 68*w**2.\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6479664 to the nearest integer?\nAnswer: 2546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of -s**5\/20 + 7*s**4\/12 + 5*s**3\/6 + 13*s**2\/2 - 7*s. What are the prime factors of h(6)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -99136697\/20286168 - -3\/483004. Let q = -1137 + 23861\/21. Let c = u - q. Find the common denominator of c and 49\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h - 2*h**2 - 6*h**2 + 6*h**2)*(4*h - 4*h + 8*h - 2) to n*h**2 + r + y*h**3 + f*h and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2201, 4041, 5881?\n\"Answer: 1840*j + 361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus 49151?\nAnswer: 49151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/7*r**2 - 6\/7*r + 0.\nAnswer: 3*r*(r - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*w, 14806*h - 21 = 14807*h + 7*w - 4*w for h.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*c**4 - 33*c + 6*c**4 + 2*c wrt c.\nAnswer: 240*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 65752733+-223\nAnswer: 65752510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - t = -12, -t - 20 = 5*p - 6*t for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, r: 4, d: 2}. Give prob of picking 2 d and 2 r.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 237045 + 2?\nAnswer: 237047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 80035384 to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -43679, -43667, -43651, -43631, -43607?\n\"Answer: 2*m**2 + 6*m - 43687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4037257 is divided by 1685.\nAnswer: 1682","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -16*n**2. Let o(k) = -6*k**2 + 13*k**2 + 0*k**2 - 6*k**2. Calculate o(r(l)).\nAnswer: 256*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 6*x**2 + 3*x - 26. Let z be f(6). Let m(c) = 3*c**2 + c**2 - 5*c**2 - 10*c - 9. Give m(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8\/42)\/(-2))\/(3400\/(-1020)*(-72)\/560)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.944739 centuries in decades?\nAnswer: 49.44739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 14*x - 88. Let h(d) = 2*d - 12. Let p(u) = -44*h(u) + 6*o(u). Let a(s) = 2*s**2 - 3*s + 3*s. Give a(p(g)).\nAnswer: 32*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -s**5\/20 + 7*s**4\/12 - s**3 + s + 74. What is y(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 84 + -118. Let g = 32.94 + p. Let w = g + 0.06. Sort -5, w, -3\/2 in descending order.\nAnswer: w, -3\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 7:51 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01805 times -0.1?\nAnswer: 0.001805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -15534174?\nAnswer: 15534175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -225 + 222. What is the nearest to 97 in 4, -0.4, b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -124 divided by -303\nAnswer: 124\/303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/9 (b) 19726 (c) 1 (d) 3 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*u**2 - 10 - 2*u - 5*u**2 - 4*u**2 - 5*u**2 + 2*u**4 - 13*u**2 to l*u**3 + f + y*u + z*u**2 + b*u**4 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 1\/11, 1\/7, -142\/7?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -810324 - 839301 = -159*t. Calculate the greatest common divisor of 166 and t.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 + 118*g + 468. Give z(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a millennium in decades?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27949.\nAnswer: 19, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12812963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50047\/64 - 782. Which is the nearest to 2\/5? (a) -3 (b) z (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6282\/(-792) + (-85)\/((-24310)\/624)?\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**3 + 32*n**2 - 33*n - 6. Determine d(-17).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -195? (a) -3 (b) 227 (c) 47 (d) 3 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkkkkpp. Give prob of picking 3 k.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2761.24 + 2761. Sort -1\/11, -1\/8, v in descending order.\nAnswer: -1\/11, -1\/8, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -52, -180, -432, -850?\nAnswer: -1476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 579660851?\nAnswer: 7, 11, 7528063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of 4*d**3\/3 - 94*d**2 + 360*d + 139. Suppose t(n) = 0. What is n?\nAnswer: 2, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k\/(k*k*k*k*k**(-1\/4)*k*k*k)*k)**(6\/23)\/(k*k**0)**(1\/12))**(-2\/11))**(-34) assuming k is positive.\nAnswer: k**(-4981\/759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 5*i + 134 = 6, x = 10*x - 14*i + 6*i + 197 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r + 11. Let f(j) = -4*j. Calculate f(z(h)).\nAnswer: 8*h - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00039723 to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -5*v**2 - 6 + 5*v**4 - 2*v**3 + 1 - 2*v + 0 + v**2. Let z(u) = 6*u**4 - 3*u**3 - 5*u**2 - 2*u - 6. Let y(q) = -5*t(q) + 4*z(q). Factor y(k).\nAnswer: -(k - 1)*(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 3*k = 75. Suppose -2 = 2*w + 2*l, -23 = -l - 30. Calculate the smallest common multiple of w and k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.3 and 0.700941?\nAnswer: 2.000941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.0043 - -0.0043. What is the fourth biggest value in -2, 2.6, k, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24086798 divided by -12043399\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4333102 (base 5) to base 10\nAnswer: 74152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*k - 0*k. Let t(v) = 5*v**2 - 2. Let i(z) be the first derivative of 2*z**3\/3 - z + 2. Calculate k*t(c) + 7*i(c).\nAnswer: -c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 175, 472, 897, 1456, 2155, 3000?\nAnswer: 3997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*r - 15 = 0, 3*l = -5*r. Does 6 divide (6\/5)\/(l\/(-50))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -14*i**2 + i - 1. Calculate z(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -455*i + 875 with respect to i.\nAnswer: -455","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19456 is divided by 294?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -79 - b**3 - b**3 - 4*b**3 - b**2 + 7*b**3 as o*b**2 + q*b + f + c*b**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**7)**(-1\/3) assuming h is positive.\nAnswer: h**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 279, 1352, 3137, 5634, 8843, 12764?\n\"Answer: 356*u**2 + 5*u - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13630 is divided by 12478?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -661 + 724 = -9*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -588 (b) -1\/80 (c) 5 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 7.4404 (b) -0.178 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4232844 divided by 44?\nAnswer: -96201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.5 - 5.5. Let y = -8 - n. Let f = 3 + y. Which is the closest to 1? (a) 0.4 (b) -5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-2)\/188*100\/(-135)*(-1512)\/420\nAnswer: -4\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 112 - 652 = 0. What is the greatest common divisor of i and 513?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 39*d - 31*d - 32. Solve -g + 5*g = -d*t, g = t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 + -5388.5.\nAnswer: -5392.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 9 + 3 = 0. Let s be ((-2)\/r)\/(1\/2). Solve s = -b - 2 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/151 in -30, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189) - -6*(sqrt(189)*3 + sqrt(189)))\/((-1*sqrt(30) - sqrt(30))\/sqrt(10) - sqrt(3)).\nAnswer: -25*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 75.96427 kilograms?\nAnswer: 75964270000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -g**3\/6 + g**2\/2 + 7*g. Let n(z) = 10*z - 13. Let y(r) = -1. Let d(p) = n(p) - 4*y(p). Calculate -4*d(j) - 36*q(j).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*z + 0*z**2 + 18*z**2 + 0*z**2 + 4*z**2.\nAnswer: 22*z**2 - 60*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 3*a = 3, 3*f = -0*a - 3*a + 21 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(684) + 4) - (-1 + sqrt(304))*2) + 5 + 0.\nAnswer: 31 + 28*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {f: 3, x: 8, w: 4, j: 2, m: 2}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 44\/18207 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*z - 27*z - 18*z - 24*z - 1083 + 87*z to the form a*z + q and give q.\nAnswer: -1083","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 656 is divided by 93.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**3\/9 - 8690*t**2\/9 + 198764*t\/9 + 69152\/3 = 0. Calculate t.\nAnswer: -1, 24, 4322","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*n - j - 1, -3*j = 3*n + 15. What are the prime factors of 3 - (-2 - (n + -3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1823\/1781 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 + 62. Let u be r*1 + (21 - 20). Suppose -5*m + m - 4*l + u = 0, 0 = -3*l - 3. Calculate the remainder when 40 is divided by m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**3 - 6*u**2 - 5*u - 48. What is r(-5)?\nAnswer: -423","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 f when three letters picked without replacement from {u: 5, f: 1, a: 2, q: 1}.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b\/b**(-2)))*b)**(-15)\/(b**(2\/9)\/b*b*b*b**(-8\/5)) assuming b is positive.\nAnswer: b**(-2683\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 1 - (-100 - -2) - (-430 - (152 - 576)).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -6.5. Let d = u - 2. Let b be 76\/342 - (-11)\/18*-2. What is the closest to 0.05 in b, d, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5*((-115)\/50 + 2))\/(2\/188). What is the highest common divisor of 1833 and u?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 8:56 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6155*w**3*z + 256*w**2*z + 2*z wrt w?\nAnswer: 36930*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-6.793.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1578755, 6 in descending order.\nAnswer: 6, 5, -1578755","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j + 2. Let k be r(0). Suppose -h - 3*g - 20 = -2, -4 = -k*h + 4*g. Is 618\/(-4)*4\/h a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of -a**4\/12 + a**3 + a**2 - 44*a. Calculate g(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 7*i**2 + 7*i - 3. Let n be (-2)\/10 - 31\/(-5). Let s be h(n). Suppose -s*j - 2 + 5 = 0. Which is greater: -2\/7 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 112375*b**2*l*p**3 - 35*b**2*p**2 - 26*b**2 + 52*b*l*p**2 - 12*b*l - 35*p**3 + 44 wrt b.\nAnswer: 224750*l*p**3 - 70*p**2 - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8269, -33076, -74419, -132298?\nAnswer: -206713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190*m + 1187 = 192*m + 3*x, -x - 586 = -m. What is the highest common divisor of 93 and m?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/17 - 27\/85. Let x = -0.1 + 10.1. Let q = x - 6. What is the nearest to 1\/3 in -0.4, q, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 116553185*l - 126176339 wrt l?\nAnswer: 116553185","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*y**3 + 11*y**3 + 130*y + 17*y**3 - 49*y**3 to v*y**3 + u*y + s + n*y**2 and give u.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2353384212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 2*s - 3. Let d(c) = -c**3 - 5*c**2 - 5*c - 4. Let v be d(-4). Let r = s - v. What is the remainder when r is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -299 + 309. Suppose -5*d - r + 563 = 0, 8*d = v*d + r - 227. Does 2 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 - 34 = 20*t. Is 25 a factor of (-701)\/t - (0 - 7\/(-28))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -988503 divided by -1\nAnswer: 988503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -18*0.05\nAnswer: -0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 30011057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 - 31.00000189. What is c rounded to seven dps?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of 7*d**5\/5 - 8*d - 7. Differentiate c(r) wrt r.\nAnswer: 28*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k. What is s(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -t**3\/7 + 5788*t**2\/7 - 8913648*t\/7 + 218893248 = 0?\nAnswer: 196, 2796","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - ((0 - 32) + 1). Let a be 946\/w - (-2)\/(-3). Let n = -8 + a. Calculate the remainder when n is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 10:54 AM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 111211?\nAnswer: 111122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -5*t - 12. Suppose 0 = 18*z - 21*z - 9. Let h be a(z). Let 4 - 6*o + h*o**2 - 1\/2*o**3 = 0. What is o?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 - 0.2. Let h = u + 0.1. Let c = h + -0.2. Sort c, -3\/4, 1 in decreasing order.\nAnswer: 1, c, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*l - 3*l - l)*(0*l + 0*l + 5*l**2) + 2*l**3 + l**3 - 7*l**3 to the form d + k*l**2 + y*l**3 + c*l and give y.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s*s**(12\/13))\/s*s**(-7\/4))\/((s**(-4\/9)\/s)\/s**6) assuming s is positive.\nAnswer: s**(3565\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 - 13 = -4*u. Suppose -3 = 4*t - 3*k, u + 4 = -t + 5*k. What is the biggest value in t, -0.1, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + 2*x**2 + 2*x + 1. Let t(l) = l**3 + 2*l**2 + 2*l + 1. Let z(k) = 4*s(k) - 3*t(k). Let u be z(-1). Let v = u - -1. Sort v, -5, -2.\nAnswer: -5, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -8*i + 12. Give j(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**2 + 4*l**4 + 13*l + 50*l + 229622 - 229613 to the form r*l**2 + k*l + x*l**4 + m + f*l**3 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 1378*y + 32. Let i be p(6). What is i rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3 + 36*c**2 + 365*c + 1050.\nAnswer: (c + 5)*(c + 10)*(c + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 4*c = 10, -4*o + c = -7*o + 15. What is the greatest common factor of o and 265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z**2 + 2*z**2 - 3*z - 2*z + 0 - z**2 + 0 + (0*z - z - z)*(2*z - 2*z + z) + 3*z**2 - z**2 - z**2)*(-57*z**2 + 122*z**2 - 50*z**2).\nAnswer: -60*z**4 - 75*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 347961?\nAnswer: 3, 115987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.11 and -1081939.\nAnswer: 119013.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g**3*y**2 - 43505*g**3 - 445*g**2*y - 7*g*y**2 + 11*y**2 wrt g.\nAnswer: 12*y**2 - 261030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9.21 + 9.01. Let b = 34 - 103\/3. What is the closest to b in -2\/13, c, 0, 1\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lkxk when four letters picked without replacement from {x: 2, k: 9, l: 8}.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263 + 3373 = 93*s + 567 for s.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 30140424*b + 67480. Let z(u) = -21437*u - 48. Determine -6*m(o) - 8435*z(o).\nAnswer: -21449*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - -957)\/(3 + 1516\/(-532)). Let f = w - 6378. Find the common denominator of f and -109\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 8*p + 264. Let u be d(13). Suppose 0 = -9*o - 8 + u. What is the remainder when o is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9437 - 2672 = -114*g + 11603. What is the remainder when 2072 is divided by g?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -48 - -50. Let w(u) = 8*u**3 + 45 - 3*u**3 + u**r - 4*u**3. Does 15 divide w(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 432 - 386. Find the third derivative of 51*q - 10*q + 126*q**4 - i*q**2 - 41*q wrt q.\nAnswer: 3024*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18890 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, g: 5, f: 1, p: 1, x: 3, q: 2}. Give prob of sequence tgf.\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 225*a + 905. Let t be n(-4). Let j(y) be the first derivative of 0*y - 4*y**t + 2*y**6 + 7\/3*y**4 - 4\/9*y**3 + 0*y**2 + 30. Factor j(k).\nAnswer: 4*k**2*(k - 1)*(3*k - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(75)*-1)**2 - ((1*sqrt(84) - sqrt(84))\/sqrt(4))\/sqrt(7))*-3.\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = o - 14, -o + 10 = u - 2. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/((-6188)\/(-14)))\/((-3)\/(-6))\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 183 + 108. Let c = 23 + x. Let a = -68 - c. Solve -3*f = -a*f - 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -155*n**3 - 10*n**2 + 5. Let z(o) = -311*o**3 - 21*o**2 + 8. Let r(a) = -5*j(a) + 3*z(a). Find the third derivative of r(i) wrt i.\nAnswer: -948","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 11:31 AM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 310*p**3 + 3064*p**3 + 158*p**3.\nAnswer: 3532*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 2*x + 2, x + 0*x = 3*s - 1. Suppose 3*j - 7 = 41. Suppose j = s*d + 2. What is the highest common divisor of d and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 13, t: 6}. What is prob of picking 2 g?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-4))\/((-33)\/(-220))*(-62)\/93.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 0 - (-1 - (-2 + 3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 2*g = 170. Suppose -19*p + g = -17*p. Does 17 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252 = -3*k - 42. Let l be (13\/((-325)\/k))\/((-2)\/60). Calculate the highest common factor of l and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/6*((-104)\/182)\/(30\/273)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 6*z**3 + z**2 - 3*z + 3. What is w(-3)?\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.492 + 1.508. What is the third biggest value in -4.7, -3\/7, 5, x?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -904 + 904. Which is bigger: i or 8\/725?\nAnswer: 8\/725","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r + 7*r + 4 = 0. Suppose -3*c + r + 11 = 0. Suppose -c*h = 5*d - 0*h - 141, -5*h - 5 = -d. Solve -5*w - d = -2*k - 7, 3*k - w - 14 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79000.87l in millilitres?\nAnswer: 79000870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 929566?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 272123.\nAnswer: 503, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 0 - 2*l**3 + 4*l + 3 - 3*l**2 + 0*l**2. Suppose 0 = 14*k - 10*k - 4. Let x(y) = -y**2 + y + 1. Give k*z(i) - 3*x(i).\nAnswer: -i**3 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of c**3\/3 - 56. Let g(n) = 86*n. Calculate w(g(z)).\nAnswer: 7396*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/15 of a hour?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3649, -7302, -10955, -14608?\n\"Answer: -3653*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4160, 4159, 4154, 4145, 4132, 4115?\n\"Answer: -2*i**2 + 5*i + 4157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137626613.\nAnswer: 71, 541, 3583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 27, 40, 67, 114, 187, 292?\nAnswer: 435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -1 - 6*a**2 - 9*a - 14 - 8*a**2 + a**3 + 4*a**2. Suppose 2*b - 10 = 2*l - 28, 2*l = -5*b + 32. Let y be p(l). Solve 2*i = -3 - y for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*o + 39 = -29. Solve -o + 19 = 5*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 347, 344, 341?\n\"Answer: -3*n + 350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 631706*m - 631286*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*c + 686 = -153, c - 4195 = -5*g. Suppose -5*b - 2*o = -g, -331 = -4*b - o + 342. What are the prime factors of b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2 - 68 = 0. Let d be (4\/1 - 0)\/t. Let m = -0.04 + -0.06. What is the smallest value in m, -1, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -100*a + 169. Let x be q(3). Is -138 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a + 2. Suppose 4*v = -2*p + 10, -2*p - 2*v = -5 - 5. Let d = 4 - 2. Let x(f) = f - 1. Give d*z(t) + p*x(t).\nAnswer: t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 17*l - 1482 = 0. Let s be 266 - (-2 - -2) - -2. Let r = s - l. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - (-2 + 0))\/(-1). Let l be (-2)\/(-33)*(-3 + -6). What is the nearest to l in 4\/3, h, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -278 - -285. Suppose -5*g + 4*q = 3, -n*q = g - 3*q + 15. Let h(o) = o**3 + 3*o**2 + 2*o + 1. Give h(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/12)\/(6\/3300*25)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**16*w*w*(w\/w**(-14))\/w*w*(w*w**4)**(2\/41) assuming w is positive.\nAnswer: w**(1363\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -7*b**2 - 8. Let y(l) = 9835*l. Determine y(c(s)).\nAnswer: -68845*s**2 - 78680","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 18*m + 1. Calculate x(10).\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 8*l**2 - 9*l - 8. Suppose -2*p + 3*i = -21, -5*p - 22 + 79 = -3*i. Does 49 divide y(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v + 4. Let g be m(4). Let u(p) = -p**2 + p + 66. Is 22 a factor of u(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 f, and 1 a when three letters picked without replacement from {r: 8, f: 4, a: 7, o: 1}.\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3819 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.384 - -2.416794. Round t to 4 dps.\nAnswer: 0.0328","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-6)*-1*306\/(-340). What is the smallest value in -0.02, j, -5, -0.076?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/17, 2, -0.01, 0.3, 2\/81?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -55 + (87 - (134 + -84)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7786704 is divided by 1385?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 5*x = 0, -93*i - x = -97*i - 36. Let n(d) = -d**2 + 2*d + 124. Determine n(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -262 less than 11772.3051519?\nAnswer: 12034.3051519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 11:51 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -54294 + 54288. Let s(b) be the second derivative of -b**4\/12 - 7*b**3\/6 - 2*b**2 - b. Give s(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -392, -737, -1082, -1427, -1772?\n\"Answer: -345*y - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 5*f + 11 = 0, r - 11 = -0*f - 4*f. Calculate the remainder when 25 is divided by (0 - -13) + (-1)\/r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-95 + 31 - -25) + 0 + -15?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 + 50 - 5 - 6 - 55*i - 5.\nAnswer: -55*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 2) to base 10\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(1014*d - 8*d**2 - 1014*d)*(2*d - 3*d + 0*d).\nAnswer: -16*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(2*(-3)\/2376). Let g = 166 - l. What is g rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1928 * -1204\nAnswer: -2321312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide -8 + (-11 - (-4426 - -9))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16338620 to the nearest integer?\nAnswer: 4042","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 3*t + 22. Let l = t - -19. Let g = 3 + -1. What is the closest to 0.1 in l, g, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3431159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of v**7\/280 + v**6\/90 + 4*v**3\/3 - 2. Let a(n) be the third derivative of g(n). Find the third derivative of a(r) wrt r.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one sixth of a day?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-4))\/(3\/114). Let i(l) = -l**2 + 5*l. Let y be i(5). Suppose 1 = -q, -w - 4*q + y*q = -129. Calculate the highest common divisor of p and w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -248*o**2 - o + 7. Let q(f) = 32*f**2 - 1. Let b(y) = d(y) + 7*q(y). Let i(p) = 12*p. What is i(b(r))?\nAnswer: -288*r**2 - 12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6\/7 + 5\/14. Let x = -11\/18 - 1\/18. Put x, -1, z in descending order.\nAnswer: z, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*q**2 - 4*q**3 - 2*q**2 - 3*q**2)*(-2427 - 11*q + 2395 + 4*q) to the form y*q + n*q**2 + z + d*q**4 + s*q**3 and give s.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**3*s*s*s**(2\/19))**(3\/10)\/(((s*s**(1\/6)*s)\/(s**(-5)*s))\/(s**(2\/7))**(-35)) assuming s is positive.\nAnswer: s**(-4171\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13153\/22, -2\/229, 2, -0.5 in increasing order.\nAnswer: -0.5, -2\/229, 2, 13153\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 9 = 6*h. Differentiate h*o**2 + 5 + o**2 - 5 - 4 wrt o.\nAnswer: 8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) -2 (c) 5 (d) -94\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k - 1 + 97. Suppose 0 = -3*j - j + 4*h, -4*j + k = 4*h. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -105073 and -105073 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 12*j**2 - 5*j - 13. Let y be i(-4). Suppose y = 5*m - 41. Calculate the least common multiple of m and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -1. Let s(p) = 0*p - k*p + 4 + p + 2. Let v be s(-4). What is the highest common divisor of v and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 132 and 9?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -4*g - 183. Let t(f) = -3*f - 122. Give -5*o(k) + 7*t(k).\nAnswer: -k + 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of u**3 + 10. Let b(g) be the first derivative of g**3\/3 - 3. Give j(b(a)).\nAnswer: 3*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + 35\/((-4410)\/3052)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5 - -10.5. Let d = o - 9. What is the third smallest value in d, 1, -0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 - 4*q + 5. Let t be f(-4). Suppose -t*a + 306 = a. What is the remainder when a is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = k - 5. Suppose b + 3 = -k*b. Is -2*((-63)\/6 - b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -146 - -3211\/22. Suppose -4*o - 4*v - 60 = 0, 57 = -5*o + 11*v - 10*v. Let i be 4\/6*(o\/8)\/(-1). Is j less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 27 + 12. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-7) + 232\/(-28). Let d be w\/(-20) + 114\/(-10). Let r(i) = -i**3 - 11*i**2 - 4*i - 16. Is 14 a factor of r(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 5*p - 0*v - 14, 2*p - v = 10. Suppose -6*h = -4*t - p*h, -22 = 3*t + 4*h. What is the remainder when (25\/(-2))\/(t\/4) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-2) - -1 - 1. Let h(x) = 29*x**3 + x**2 - 7*x. Let b(a) = -30*a**3 + 6*a. Let k(q) = 4*b(q) + 3*h(q). Let d be k(r). Round d to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9653 and 169617.\nAnswer: 1379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = 14*w - 1155. Let g = w - 164. Let i = -0.1 - -0.2. Are g and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -14, -4, 1, 2, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4*j + 50. Is 18 a factor of d(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**3 - 5702*a**2 + 34157*a + 37. What is y(6)?\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*b*n**3*o**2 - b*n**3*o - 8*b*n**3 - 385*b*n**2*o**2 - b*n**2*o - 17*b*n**2 + 2*b*n + 36*o**2 + 5*o wrt o?\nAnswer: 12*b*n**3 - 770*b*n**2 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-1 + (4 - -2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0284 and -3655.09.\nAnswer: -3655.1184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1088 and 1216.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-3 - 3) - -11. Let c be 1 - (3 - 1 - 5). What is the greatest common factor of x and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23511 (base 9) to base 16\nAnswer: 3d6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -38*t**2 + 2. Let s(w) = 19*w**2. Give -5*s(f) - 2*y(f).\nAnswer: -19*f**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 74477*z + 1 - 74367*z.\nAnswer: 110*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of 7*m**3\/3 - 3*m + 2. Let a(f) = 8*f**2 - 4. Let i(d) = -3*a(d) + 4*c(d). Let n(k) = -2*k. Calculate n(i(x)).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 7*s + 5. Let n = 82 - 86. Determine b(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 977550, 1955108, 2932666?\n\"Answer: 977558*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-75)\/(-100)*(56 + -3 + -1). Suppose 756*l - 769*l + f = 0. Factor -2\/3*v**2 + 0 - 2\/3*v**l + 0*v.\nAnswer: -2*v**2*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0231 - 0.02513. What is z rounded to 4 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52807 is divided by 10560?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/3)*u)**32)**(-5\/4) assuming u is positive.\nAnswer: u**(-80\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85 + -35 + 31 + -123.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13189 (base 10) in base 12?\nAnswer: -7771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - -4) + (5 - (-4 - -13)) + -4 + 33?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 80037 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*m + 5, u = 2*m - 7. Put u, 2, 0 in ascending order.\nAnswer: 0, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19\/136 + 943\/2856. What is the third biggest value in x, 11, 0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - x + 2*x)*(5 - 1 - 5) + 0*x + 2*x - 4*x - 21*x - 672*x - 332*x + 0*x + x - 2*x.\nAnswer: -1030*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -13, 6 in descending order.\nAnswer: 6, 5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17467 is divided by 397?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - -19) + 46\/(-8)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (204\/306)\/((-4)\/18). Put 4081, z, -1 in descending order.\nAnswer: 4081, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -936, -1195, -1446, -1689, -1924, -2151?\n\"Answer: 4*z**2 - 271*z - 669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46036?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2419 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 91. What is the third derivative of -g*z**3 - 69*z**2 + 131*z**2 - 171*z**2 wrt z?\nAnswer: -540","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 6*j - 179. Let f be ((-168)\/32 - 6)\/(3\/(-8)). Calculate m(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of 15*w**4\/2 - 13*w**2 - 24. Find the second derivative of j(l) wrt l.\nAnswer: 180*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -4. Let g be 2*(0 + -1) - w. Let o be (((-10)\/12)\/(-5))\/((-24)\/(-216)). What is the smallest value in 1\/2, o, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j**(6\/5)*j)\/j)\/(j*j**(-6)\/j*j) assuming j is positive.\nAnswer: j**(36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.7 + 0.3. Let j = 1 - -4. Let a = 4 - 3. Sort j, z, a.\nAnswer: a, z, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (6\/(-4) + 6\/12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-6)*t*t**(-6)*t)\/(t**(-8)*t*t*t**(-4)*t*t) assuming t is positive.\nAnswer: t**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + -2)\/(1\/2). Let q be 1\/b*(-5 + 3). What is the derivative of 4 - q + 0*s + 2*s wrt s?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of 137*o**5\/60 - 125*o**3\/6 - 29*o**2\/2 - 4*o + 2. Let j(b) be the first derivative of x(b). Differentiate j(v) wrt v.\nAnswer: 274*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.57 - -3.57. Let o be (-22017)\/7722 + (1 - -2). Let n = o + 1\/198. What is the biggest value in -1, y, 0, n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -136dd2 (base 15) in base 9?\nAnswer: -1674048","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3b06 + 25?\nAnswer: 3b2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 2*j + 2. Let q be p(2). Let o be 2\/(15\/42 - 11\/(-77)). Calculate the greatest common divisor of q and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aeeeeeeeeeeeeaeeaeae. What is prob of sequence ea?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3461624 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (-10 - -16) + (15 - 8) + 1.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -24, -5, 0.2, -0.5, 6, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 64818770429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 2882.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -423 divided by 2.\nAnswer: -423\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -37410 * -0.7\nAnswer: 26187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 32997976 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i**2 - 7 + 7*i**2 - i**2 - 7 + 40*i + 4*i**2 = 0.\nAnswer: -7, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 136) + (9 - (-15 + (9 - -17) - -3))?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**2)**(1\/21) assuming l is positive.\nAnswer: l**(2\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of 0 + 0*w**6 + 0*w**3 - 1\/12*w**4 + 0*w**7 - 1\/28*w**8 + 4*w + 0*w**5 + 0*w**2. What is the third derivative of m(r) wrt r?\nAnswer: -240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1202*j**2 - 1189*j?\nAnswer: -2404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 9 = -2*i, -5*g + 9*i - 14*i - 15 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 17*p**2 - 44*p + 38. Determine y(19).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39842.\nAnswer: 2, 11, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -5*d**3 + 3430*d**2 - 595045*d + 2325620 = 0.\nAnswer: 4, 341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3437?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-9)*-6)\/((-7)\/3).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -52\/11665 or 0?\nAnswer: -52\/11665","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express j**2 - 413 - 483 + 765 as b + m*j**2 + z*j and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1183752 divided by 591876?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2460 = -5*t, 3*h + 2*h + 2470 = 5*t. List the prime factors of t.\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 35*j - 1. Let v be g(-1). Let o be (4\/((-20)\/15))\/((-63)\/(-735)). Let r = o - v. Solve 3*z = 2*z + r for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (25 - 25 + 3*q)*(-3 + 0 - 2) + (-2 + 2 + 2)*(-25 + 25 + 14*q) to x + o*q and give o.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**4 - 729*x**3 + 699369*x**2 + 701541*x - 1400178 = 0. What is x?\nAnswer: -619, -2, 1, 377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/4 + 537536*p**2 - 288944951296*p.\nAnswer: -p*(p - 1075072)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 39*m - 114, 4*q - 22*m = -26*m + 16 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 7:52 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1034 = 13*x + 1021 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a6 - 40?\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssstshsststotttst. Give prob of picking 1 t and 1 o.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a**2 - 2*a**2 - a**2 - 14*a + 14*a + 11*a**2 + 0*a**2 + 3*a**2 - 5*a**2 + (2*a - a + 0*a)*(2*a - a - 3*a) as z + d*a**2 + x*a and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14002367?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 200\/3*y - 5000\/9*y**2 = 0.\nAnswer: -3\/50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2659 - 2650. What is the least common multiple of q and 405?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (2 - 4) + 1 + 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 6. What is the least common multiple of 4 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 195, 0, -4, 62 in ascending order.\nAnswer: -4, -3, 0, 62, 195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 794286523.\nAnswer: 101, 2267, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 7. Let h be 1 - 3 - t\/2. Solve 0*c + 4 = -h*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-86)\/(-6) + -9 + -5. Sort n, -8.5, -0.04.\nAnswer: -8.5, -0.04, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -13. Solve f = 4*q - 0*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1364577 is divided by 90948.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 3.4 (b) -3 (c) 74\/797 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1268 and 72593.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by ((-72)\/(-16))\/((-2)\/(-4))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 109632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -10554*a**3 - a**2 - 19*a - 19. Let l be m(-1). Calculate the highest common divisor of 61 and l.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -297, -1116, -2461, -4326, -6705, -9592, -12981?\n\"Answer: i**3 - 269*i**2 - 19*i - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - 5*z - 7. Let t = -17 - -24. What is the smallest common multiple of n(t) and -2 - (-9 + 1) - -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 35, 54, 73, 92, 111?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 39747.77 millilitres?\nAnswer: 39.74777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 (base 8) in base 9?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in -1\/4, 2\/207, -0.3?\nAnswer: 2\/207","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o - 3*n + 7 = 11*o, 4*o + n = -3 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 42\/(-15) - (-10)\/5. Let x = -50.3 + 50. Sort x, y, -6\/7 in ascending order.\nAnswer: -6\/7, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 130*d + 2498. Calculate q(-18).\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4)\/3 - 284920\/180*(-21)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 21 = -2*d + 4*d, -4*q + 56 = -5*d. Is 16 a factor of (d\/15)\/((-2)\/160)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 + 7*w + 6. Let g be (-352)\/(-3) - (-36)\/54. Let m = g - 97. Suppose -c - 21 = 2*s + 2*c, -4*s = -c + m. What is z(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-a - 1 + 1)*((-2*a - a + 2*a)*(6 + 0 - 5) - 2*a - a + 2*a - 10*a + 4*a - 2 + 0) in the form l*a + u + w*a**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**11*x*(x**8*x)\/x*x*x*x\/x**(-2\/9)*(x\/((x**7*x)\/x*x))\/x assuming x is positive.\nAnswer: x**(137\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggsgccgggsg. Give prob of picking 2 c.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 divided by 363?\nAnswer: 18\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 35831717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 225\/(-540)*-4*(-9)\/(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z - 3*z - 7*z.\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13631 or -13630?\nAnswer: -13630","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - (-11)\/55*3*10\/(-2). Which is the smallest value? (a) j (b) -0.3 (c) -11.9 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -732 + 788 = 8*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + (sqrt(77) - (sqrt(77) - (sqrt(77) - (sqrt(77)*2*1 - sqrt(77))))))\/(2*sqrt(7)*-6).\nAnswer: -sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l + 19991. Let q(r) = -6*r**2. Calculate c(q(b)).\nAnswer: -12*b**2 + 19991","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t - 2*t + 3*t + 1 - 2*t - 1 + (t + t - 3*t)*(3 - 3 - 1) + 3*t - t - 4*t - 4 + t + 4 + 8*t + 32*t - 5*t in the form l*t + s and give l.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*i**2 - 11*i**2 + 3*i**2)*(i - i + 1 - 2*i + (4*i - 3*i + i)*(4 - 3 + 0) - 2 + 3*i + 2) in the form r + g*i + d*i**3 + k*i**2 and give d.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/7)\/(g**(2\/5)\/g))\/(g**0)**35)**(4\/23) assuming g is positive.\nAnswer: g**(124\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-35) + 4\/(-14). Solve -22 = -2*j - 5*d, w = -4*j - j - 3*d + 17 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 - (664\/8 - 14)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2358 and 1572?\nAnswer: 4716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 20\/6*3*14\/(-35)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.3 * -0.147.\nAnswer: 0.1911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1353917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.07201 + -2.081. Round h to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3759 a factor of 987203616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -46802 - -4?\nAnswer: -467ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*l - 32*l**2 - 16*l**3 - 533*l + 58*l + 14*l**3 - 37*l**2 + 68*l**2.\nAnswer: -2*l**3 - l**2 - 454*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30\/43 - 382\/301. Let g = 5464.6 + -5465. Put -2, g, c, -1\/6 in decreasing order.\nAnswer: -1\/6, g, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 + -27. Let a be 6\/9*(-6)\/38. Let w = -0.1 - 0.2. What is the nearest to -0.2 in w, p, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.13? (a) 0 (b) -1\/5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*r - 1 = -91 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 1 - (7 + (-20 - (6 - 14)))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*r)*(171*r**3 + 27246 - 13621 - 13624).\nAnswer: -342*r**4 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**3 + 680902*j**2 - 4766271*j + 4085370 = 0 for j.\nAnswer: 1, 6, 680895","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-16)*18*-2. Let f(z) = z + 21. Does 11 divide f(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 4\/3*m**5 + 4\/3*m**2 - 4\/3*m**4 + 0*m - 4\/3*m**3.\nAnswer: 4*m**2*(m - 1)**2*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 11 - 17. Let u(t) be the third derivative of t**5\/60 - t**4\/4 - t**3\/6 - 21*t**2. Calculate u(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.15*-0.74.\nAnswer: -0.111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 322554207, 645108416, 967662625, 1290216834, 1612771043, 1935325252?\nAnswer: 2257879461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -5*t**2 - 2*t - 2. Let a(o) = -14*o**2 - 7*o - 6. What is 2*a(f) - 7*u(f)?\nAnswer: 7*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {o: 17, u: 3}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 126 = 2*s. List the prime factors of s.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 197 and 10.\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 3*j**2 + 10*j - 7*j - 5*j**2 + 2. Determine p(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 348 is divided by 88.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + 4*w - 4*w + 2*w**2. Let l(d) = -d**2. Calculate l(x(g)).\nAnswer: -g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20753474 and 6.\nAnswer: 62260422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 g, and 1 m when three letters picked without replacement from {g: 1, o: 2, x: 1, m: 3, q: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 150 * -5\nAnswer: -750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -1\/2*v**2 + 1\/4*v**4 + v + 0 - 7\/6*v**3. Calculate the remainder when p(5) is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.08690386 to 2 dps.\nAnswer: -2.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13\/9 in -1\/4, 3\/4, -1, 21, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(2 - (-1 - -1)). Suppose 2*i = -q + i + 9, 0 = 2*q - l*i - 36. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h**5 - 2*h**5 + h**5 - 2*h**5 - 2*h**5 + 5*h**5 + (-2534*h**2 + 2534*h**2 - 317*h**4)*(h + 3*h - 2*h).\nAnswer: -630*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 151\/33 + -54\/11. What is the nearest to v in 2\/3, -2\/11, -4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 0, 4\/7, 8, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1028493 or 1028498?\nAnswer: 1028498","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v**3 + 4*v**2 - 4*v**2)*(-1 + 0 + 3) + 57*v**3 - 5215*v - 143*v - 59*v**3 in the form f + y*v + t*v**2 + a*v**3 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) 3 (b) -21 (c) -1\/4 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d0 - 5?\nAnswer: -d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 4 + 7)*(65*d + 126*d - 15*d) to b*d + j and give b.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**20*s**(12\/13) assuming s is positive.\nAnswer: s**(272\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-4 - -6)) + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*b = 64*b - 1442. Sort 3, -2, 0, b in decreasing order.\nAnswer: b, 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three fifths of a hour?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k. Let v be (-42)\/(-3) - 13 - 0. Give o(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/290)\/(4\/(-40)*(-21)\/7).\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3542*o = 2641*o + 8616 + 18414 for o.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 8 - 2. Let s = c + 5. Suppose 0 = 4*a + 5*h - 41, -s*h - 14 = -a - 8*h. What is the remainder when 26 is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 35 - 3*v - 39 - 8*v**2 - 5*v - 2*v**3. Is 9 a factor of x(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/(sqrt(20)\/sqrt(5)*4))\/(sqrt(384)*2*-4)*-1.\nAnswer: sqrt(2)\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 790.6628g to micrograms.\nAnswer: 790662800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11*86\/(-7)*2\/((-440)\/(-140))?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-2)*(12 + -4). Suppose z + s*z = 0. Suppose -d + z*d = 0. Solve -2*y + 8 = d, -10 = -b - 2*y + 3 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -192185 by 17.\nAnswer: -11305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 5*x + 1. Let l(p) = p**2 - p. Let i be (-20)\/60 + (-5)\/3. Let g = 5 + i. Let w be l(g). Determine u(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from ccccccccccccjcjcjjj?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (2 - -47 - (10 - 2 - 17) - -12).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/(-2))\/(4\/16). Let t(i) = i**2 + i - 4. Let z be t(-3). Let r be z\/4 + (-33)\/6. Sort 4, r, u in descending order.\nAnswer: 4, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 70559.651 + -71478.3. Let a = -918 - b. What is a rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 - 10. Suppose -4*w = d*w. Solve -5 = -3*p - s - 13, w = -2*p + 3*s + 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 230 - 229.5. Which is the closest to -1? (a) -0.5 (b) -6 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 4:52 PM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215 is divided by 63.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q*q**2)*q*q**0*q*(q**(-1))**(1\/2)*(((q*q*q**(-6\/11))\/q)\/(q**(1\/3)*q))\/(q**1\/q)**26 assuming q is positive.\nAnswer: q**(-91\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 91.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 1. Let n(i) be the first derivative of -9\/2*i**2 + i - 1. Determine n(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2457192313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-10) + (7 - 108\/30).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 303 in 2\/7, 0.3, 2, -391?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-535)\/(-10) + (6\/4)\/(-3). Suppose -m*q = -62*q + 81. Calculate the remainder when 2 - (-2 - 12) - -1 is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -320982 by -3.\nAnswer: 106994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 997.748l?\nAnswer: 997748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v = 9*v - 60 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 8. Suppose 0 = 2*t + q - 6. Suppose t*w - u = 13, -3*u + 2 = 2*w - 15. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -j**2 - 1\/144*j**6 - 1\/6*j**4 + 0*j + 1\/40*j**5 + 0 + 0*j**3. Let a(w) be the second derivative of z(w). Give a(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1187074 and -1187072 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of -1\/3*w**3 + w**2 + 0*w**4 + 0 - 1\/120*w**6 + 0*w + 0*w**5. What is the derivative of m(n) wrt n?\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 10) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/25 - 4590\/(-1125). Let -22*t**5 - 22*t**3 - 4*t**x + 46*t**3 - 8*t - 2372*t**2 + 2340*t**2 + 42*t**3 = 0. Calculate t.\nAnswer: -2, -2\/11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3*v**2 + 4*v + 4. Let r be m(-4). Let q = 104 - 122. Let t be (24\/r)\/((-4)\/q). Solve -2*k + 25 = t*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55) + (sqrt(330)\/(sqrt(24)\/sqrt(4)) - sqrt(55)) - (sqrt(55) - sqrt(605)\/(sqrt(11)*1 + sqrt(11))))\/(6*(sqrt(1620) + sqrt(20)))*-1)**2.\nAnswer: 11\/57600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1)**22*p**(2\/13)\/p*p**(2\/7) assuming p is positive.\nAnswer: p**(1951\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -31 + y + 16*y + 1 wrt y.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8057 + 16017\/2. Calculate the common denominator of -19\/134 and s.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -544*x + 544*x - 4 - 7*x**2 wrt x.\nAnswer: -14*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*j**2 - 128*j**2 - 61*j**2 + 273*j**2 - 38*j**2.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, s: 7, j: 2, e: 3}. What is prob of sequence nss?\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in eleven quarters of a micrometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from imamging. Give prob of sequence ig.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -107478, -215340, -323200, -431058, -538914, -646768?\nAnswer: -754620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**2 + 4. Let t(l) = -2*l - 1. Let b(g) = g**3 + g**2 + 6*g + 6. Let u(n) = b(n) + 3*t(n). Calculate -2*a(x) + 3*u(x).\nAnswer: 3*x**3 - x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) - (sqrt(405)*-1 + sqrt(405))**2) + -3.\nAnswer: -3 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 49\/198934?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*f**6*j**2 - 14*f**5*j**2 - 3*f**2*j**2 - 18*f*j**2 wrt f.\nAnswer: -360*f**3*j**2 - 840*f**2*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 2 + 4 - q**2)*(-5*q**3 + 0*q**3 + 3*q**3).\nAnswer: 2*q**5 - 28*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*a*x**3 - a*x**2 - 3*a*x - x**4 wrt x.\nAnswer: -24*a - 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1169 and 623.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -5*w**2 + 2*w - 4. Let b(c) = -3*c**2 + 8*c - 11. Let t(j) = -2*j**2 + 5*j - 7. Let g(d) = -5*b(d) + 8*t(d). Give -6*g(p) + y(p).\nAnswer: p**2 + 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1895 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 50.78 + -51. Let r = 71.62 - 71. Let f = r + c. Round f to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 4 + (-1 + 2 + 1)*(-4 + 2 - 9))*(-4 + 0 + 2)*(11 - 11 - 7*w).\nAnswer: -322*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 6*v + 320 = 0. Let d be 5\/((-20)\/v) + 2. Let u = d - -16. Solve 2*k = -u + 12 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkkwkwk. What is prob of picking 3 k?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2951 - 2967 + 5917 + 68*l.\nAnswer: 68*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 15243*m - 305357. Determine k(-20).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.722182 meters in nanometers?\nAnswer: 722182000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -131 + 21?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -75267 + 11666426\/155. Let q = o + -2\/31. Let w = 76 + -227\/3. Which is the biggest value? (a) -4 (b) w (c) -0.3 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -968048236 - 24.5?\nAnswer: -968048260.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6220 - 19507 = 304*a - 5663 for a.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1803 + 1734 + -3 + 7.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38 - 38. Let a = -0.95 + 0.45. What is the biggest value in -4, w, a?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -15*b. Let o(a) = -332*a**2. Give k(o(l)).\nAnswer: 4980*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5 - 6*u**2 - 71*u**4 - 19*u**4 + 4*u**2 wrt u.\nAnswer: -2160*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -7*w + 24. Let r(n) = -322*n + 12. Let u(l) = 591*l - 24. Let h(j) = 11*r(j) + 6*u(j). Give 11*h(b) + 6*q(b).\nAnswer: 2*b + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/2 of a tonne in kilograms?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m + 10*m + 96230 = -k, 12 = 2*k. Does 7 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 10630612 and 0.48791.\nAnswer: 10630612.48791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11346 * -1.039.\nAnswer: 11788.494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 558986 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d**3 + 11667*d**2 + 234483*d + 222813 = 0. Calculate d.\nAnswer: -19, -1, 3909","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159 = -j - 0*j. What are the prime factors of j\/12 - 1\/4?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19165.709 take away 13.7?\nAnswer: -19179.409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - 2*y + 3. Let g be z(0). Let t(u) be the second derivative of -3*u + 0*u**g + 0*u**2 + 0 + 1\/12*u**4. Factor t(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 399, 4\/7, -0.22, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 t, and 1 r when three letters picked without replacement from wwtrpta.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*x - 2*x + x)*(0 + 0 - 1)*(12 - 9*x - 12) + (2*x - 2*x - 2*x)*(9*x + 9*x - 8*x) as i*x**2 + g*x + c and give i.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*i - 36 = 105*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 - 22d72aa?\nAnswer: -22d72a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -6*m - 1026 + 508 + 519. Let g(t) = -t. Suppose -7*j + 12*j = -25. Calculate j*g(a) + d(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is -9 plus -18382587207627?\nAnswer: -18382587207636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 12. Let u be ((2 - 0) + 0)*4. Let j be 2\/(-1) + u\/5. What is the closest to -2 in -2\/13, j, p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2446360, 4892714, 7339062, 9785404?\n\"Answer: -3*a**2 + 2446363*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = o - 44. What is the greatest common factor of o and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -16 and -94785086170044.\nAnswer: -94785086170060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (424\/(-212))\/(531\/18*-2)?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 13*v**2 - 31*v + 17. Let b be d(15). What is the smallest value in 5, b, 4.9?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1634*z**3 + 529*z**3 + 702*z**3 + 452*z**3.\nAnswer: 49*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 6*f = 8, 3*v - f + 1 = 3*f for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21233101 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sgf when three letters picked without replacement from shtgqhff.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -906 + 3026. What is the thousands digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**4\/4 + 185*r**3\/2 - 7205*r**2\/4 + 3330*r - 1620.\nAnswer: -5*(r - 36)**2*(r - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(-29)\/16 - 2. Let z be 1\/6*(-18)\/(-3). Which is greater: g or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13309238797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**4 - 52*d**3 + 23*d**3 + 10*d + 0*d**4 + 26*d**3 in the form v*d**4 + p*d**3 + a + r*d + b*d**2 and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 64 and -192*(-2 - (-56)\/42).\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.3 + -4. Let c = 4.3 - d. Suppose 51*q = 211*q - 320. Put c, -1\/5, q in ascending order.\nAnswer: -1\/5, q, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -71*z**2 + 128*z**4 + 71*z**2 + (2 + 2*z**2 - 2)*(-z + z - z**2) - 2*z**4 + 18*z**3 - 18*z**3 + (3 - 3 - 1)*(z**4 - z + z).\nAnswer: 123*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (-12)\/(-6)) + 9\/(-6).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24 + 9 + -13 - 11) + (34 + -1 - -7).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -222*s**3 - 6*s**2 - 11*s + 17. Determine d(1).\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 63\/7454 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7090, 19265, 31440?\n\"Answer: 12175*k - 5085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*(-35)\/(-30) - 3\/6. What is the closest to 1 in 7\/5, -3, k?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5788063 is divided by 20?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -102 - -101.7. Let k = 0.1 - 0.1. What is the closest to k in j, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -44\/3 - -14. Which is greater: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 13198 - 6620 - 6584 + 12*a**2 + 9*a. Let f(r) = -6*r**2 - 4*r + 3. Calculate 4*b(k) + 9*f(k).\nAnswer: -6*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.0585 and -12.\nAnswer: -12.702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.96906 - -0.03094. Which is the biggest value? (a) 1\/6 (b) w (c) -1\/7 (d) 3\/2 (e) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3465)\/(-40) - (-15)\/40. Suppose s*x - 241 = 86*x. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rururr. What is prob of picking 1 u and 3 r?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-268)\/8 - -33 - ((-7)\/2 + 2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00182978836 to 5 dps.\nAnswer: 0.00183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1042 is divided by 37?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 395*d = 322*d - 584 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2346238699 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q**3\/7 - 556*q**2 - 886216*q\/7 - 18372768\/7 = 0 for q.\nAnswer: -636, -314, -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 18*u + 492. Let h be v(-15). Which is the closest to -2\/13? (a) 1\/3 (b) h (c) -5 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(17) + (-2*sqrt(17))**2 + sqrt(17)) - sqrt(153)*-2.\nAnswer: -340 - 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -42 - -15?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5*f = t - 9, f = 3*t + 19. Let x be 2\/((t\/(-1398))\/2). What is the tens digit of x\/9 + 4\/12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by -472\nAnswer: 3\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.29 + 1.29. Let d(x) = -4*x - x**2 + 4*x + 5*x. Let n be d(5). Which is the nearest to n? (a) q (b) 0 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**2. Let g(a) = 579*a - 1149*a + 513*a**2 + 570*a + 468*a**2. Give f(g(t)).\nAnswer: 1924722*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -7*o**2 + 7*o + 6. Let t be (15\/6 - 3)*28. Let l = t - -20. Let m(g) = -8*g**2 + 8*g + 7. Give l*m(p) - 7*h(p).\nAnswer: p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -1. Let z = 204 - 199. Let m be (-4)\/(-10) - (-4)\/(-10). Solve -p + o*u - 8 = m, u + u + 6 = -z*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5*p = -0*k + 212, -5*k = 2*p + 501. Let t = k + 113. Calculate the smallest common multiple of t and 51.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/1*2 + (68 - 35) + -39. Let c(v) = 5*v**2 + 53*v + 22. Calculate c(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w**(-2\/9)*w*w*w)*w)**46*(w\/w**(-2\/17))\/w*w**5*((w**(-2))**(2\/7))**(1\/14) assuming w is positive.\nAnswer: w**(114697\/7497)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -20218, -80923, -182144, -323917, -506278?\n\"Answer: -6*s**3 - 20222*s**2 + 3*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 2)*(-4*x + 5*x - 3*x) + 61*x - 40*x + 44*x.\nAnswer: 63*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/16 and -163\/720.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t\/(t\/(((t*t\/((t\/(t\/t**(-2\/7)*t))\/t)*t)\/t)\/t))*t))**(4\/3)*t**(1\/5)*t*t**(-7)*((t**(-2))**4)**(-16) assuming t is positive.\nAnswer: t**(4077\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/12)\/((-6)\/16). Let k = 33 - -27. Let x be ((-2)\/8)\/(0 - (-9)\/k). What is the second smallest value in w, x, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18950.536 to the nearest ten.\nAnswer: -18950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 2*c + 2. Let n(r) = 3 + r**2 + r + r + r - 3*r**2. Determine -4*n(z) + 6*p(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4516 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 408955 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hv when two letters picked without replacement from {h: 2, a: 1, r: 1, w: 2, v: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n - 2. Let a be b(8). Suppose h - a = -2*h - p, 2*h - 4 = -p. Suppose -5*y - h*m = -52, y - 5*m = 3*y - 4. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5462 + 32674 = -2360*v + 194772 for v.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 139275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pba when three letters picked without replacement from eprrabb?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 5. Suppose h = f + f. What is the second derivative of -a + 0*a**2 + f*a - a**2 + 3*a**2 wrt a?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 0 - 2)*(-4 - 4 - 1)*(2 + 0 - 4)*(-2*d + 3*d - 4*d) + d + d - 2 - 3*d.\nAnswer: -217*d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0241 and 7.\nAnswer: -0.1687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 65?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.29 + 0.01. Let d = -0.07 + -2.93. Put h, d, -0.3 in descending order.\nAnswer: h, -0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19508 is divided by 170.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.245 - -3.915. Let k = 3.27 - j. Which is the nearest to 54? (a) -2\/7 (b) k (c) -3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-7)\/(-2) + -2)*2. Solve 5 = -o*x - 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1349 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/4)\/((-20)\/(-10))*68\/(-85)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1*2*(-3)\/78*-1\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 3*k + 12 = 0, 2*x - 2*k - 28 = 2*k. Let n be 0 - (-2)\/2 - 0. Solve -5*c = -4*t + x, n = 4*c - 2*t + 7 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.88 less than -53.4?\nAnswer: -49.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5\/4, -2\/11, -0.27, -4, -5, -25?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 619040?\nAnswer: 2, 5, 53, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/3439 and -59\/567616.\nAnswer: 10784704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -10*2\/(-14) + -2. Suppose -2 = -j + 2. Suppose 3*i - j*w + 9 = -w, 0 = i - 2*w + 5. Which is bigger: y or i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -8.7, 1\/17, 1, 0.124, -0.4, -0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -194613408*u*z - 47493393*u + 2*z**4 + 2 wrt z.\nAnswer: -194613408*u + 8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*b - 109*z + 107*z - 58, 0 = 2*b + 6*z + 58 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30*h + 831 - 415 - 415 + (0*h + 4*h - 2*h)*(0 + 0 + 2) - 3 + 3 - h.\nAnswer: -27*h + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*j**4 + 5571*j**3 - 344694*j**2 + 4882752*j + 2008608 = 0 for j.\nAnswer: -427, -2\/5, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 285949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hciciicjcclc. Give prob of picking 1 h and 1 j.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 - 66 = 3*n. Let j = 69 + n. Suppose -2*c - 2*f + 559990 = 0, 0 = 2*c - 3*f - j*f - 560025. Round c to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101000100100000110 - 1?\nAnswer: 100101000100100000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 123366 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k**2 - 651*k + 26129. Give d(72).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 11:00 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fifty-seven halves of a minute?\nAnswer: 1710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (98 - 437 + 178)*(-v + 0 + 0) + 5*v - v + 0*v to i + n*v and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -44 + -42042?\nAnswer: -42130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of -5*i**8\/1008 - 5*i**7\/126 - i**6\/12 - i**2 + 77*i + 70. Let r(f) be the second derivative of k(f). Solve r(a) = 0.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -6*x + 3*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.98 + -7.38. What is the second smallest value in -3, g, -4, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74, 216, 428, 710, 1062, 1484?\nAnswer: 1976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h. Let v(d) = -2*d**2 - 37*d + 2. Calculate l(v(w)).\nAnswer: -4*w**2 - 74*w + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -737*k**6 + 928*k**2 wrt k?\nAnswer: -88440*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t - b + 6*b + 17, -t - 10*b = 52 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1518 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 6*i**2 - 7*i + 143. Let s(l) = 10*l**2 - 14*l + 284. Let y(b) = -13*r(b) + 6*s(b). Find the first derivative of y(w) wrt w.\nAnswer: -36*w + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 208991556?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*w - 0*w. Let b be (49 + -9)\/((-2)\/w). Suppose -4 = t - 2*k + 1, -4*k - 5 = -5*t. Calculate the greatest common divisor of t and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16455+263268\nAnswer: 246813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (6 - 5 - ((25 - 7) + 5))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -909, -911, -915, -921?\n\"Answer: -n**2 + n - 909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1728486?\nAnswer: 2, 3, 32009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -229, -1524, -4745, -10762, -20445, -34664, -54289?\n\"Answer: -145*y**3 - 93*y**2 - y + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 3*r - 2, -r + 639426*k - 639431*k + 4 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uy when two letters picked without replacement from xuyuxyuxfyyuu.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -4 + -4 - (54 + (-38 - -10 - -23))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127 - 5*b**2 - 37 - 40 - 50.\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -10*-1*9\/6 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.725704729 rounded to 5 dps?\nAnswer: 0.7257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o\/(o**(1\/7)*o)))\/o**0)\/((o*o\/((o**1*o*o)\/o))\/(o*o**(-4)*o))*(o\/(o\/((o**10*o)\/o))*o**(-11))**(-22\/3) assuming o is positive.\nAnswer: o**(157\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.6, 222889, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1202 + -1201. Which is the smallest value? (a) -269 (b) s (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 8 = -2. Which is greater: r or 16\/5?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379707547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 251, 1022, 1791, 2558, 3323?\nAnswer: 4086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0569 * 0.1.\nAnswer: -0.00569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0*c - 5 = 0. Solve -t = c*w - 13, 0 - 6 = -2*w for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187362 is divided by 37?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5425?\nAnswer: 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -225 + 229. What is the third biggest value in w, 1, 2\/29, -1\/7?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**3 - 3*y + 11. Let h(d) = -2*d**3 - 4*d + 12. Let f = -96 - -98. What is f*h(l) - 3*k(l)?\nAnswer: 2*l**3 + l - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(180)\/sqrt(4))\/(sqrt(1296) - (sqrt(1296) - (sqrt(1296) + 2*sqrt(1296) + sqrt(1296) + sqrt(1296))))*-4.\nAnswer: sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 65*j - 45. Let l(r) = r**3 + 18*r**2 + 31*r - 14. Let n be l(-16). What are the prime factors of o(n)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 v when three letters picked without replacement from xxxxvvxxxxxxx?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66425194 is divided by 13285037?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 p when three letters picked without replacement from {p: 5, q: 8, x: 2, i: 1, f: 2, m: 2}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37 + 95. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2941 + -2693. What is the remainder when m is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1282788731?\nAnswer: 7, 183255533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h - 235. Let z(f) = -f - 157. Calculate 5*s(v) - 7*z(v).\nAnswer: 2*v - 76","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 23*s**2 + 2*s + 1. Let n be g(-1). Let p be 2 + (-2)\/4*n. Let o(z) = -5 + z - 1 + 5. Let w(q) = 2*q - 2. Give p*o(f) + 4*w(f).\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/11, 3, 7\/3, 2\/11, 2\/53 in descending order.\nAnswer: 3, 7\/3, 2\/11, 2\/53, -4\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r + 1. Let p(t) = -t - 1. Let o(a) = -8*a - 9. Let d(h) = -6*o(h) + 51*p(h). Give 10*c(g) - 4*d(g).\nAnswer: 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((234\/936)\/(6\/(-8)))\/((-2)\/12). Let h = 3 - 7. Which is the closest to -2\/7? (a) -0.5 (b) h (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1752181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (88\/(-330))\/(4\/(-10))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 49*z**2 + 64*z - 747. What is the lowest common multiple of 426 and g(48)?\nAnswer: 2982","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 775*p**5 - 365*p wrt p.\nAnswer: 15500*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 5:15 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 0)\/((-4)\/18). Let k be ((-390)\/h)\/((-10)\/(-15)). Suppose 8*r - k = 3*r. What are the prime factors of r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.226798 millennia to centuries.\nAnswer: 72.26798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.082124l?\nAnswer: 82.124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 184612139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 8 (b) 10 (c) 6 (d) 1 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*b - 5. Let u be 12\/((-21)\/9 + b). Calculate the highest common divisor of 45 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -3*i - 17. Let x = 25 + -32. Let u be a(x). Suppose -3*z + s + 77 = 0, -s = 5*z - u*z - 23. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (17 - 5 - 24 + (0 - 3 + 1)*(-3 - 1 + 6) - 6 + 1 - 1)*(0*n**2 + 0*n**2 - 2*n**2) as b*n**2 + r*n + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 81?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 707?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*p**4 - 10*p**3 + 591.\nAnswer: 64*p**3 - 30*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u\/(u**(-1\/3)*u)))\/(u\/(u*u**(-2\/3)))*((u*u*u**6*u)\/u)\/u*u*u\/u**(-1) assuming u is positive.\nAnswer: u**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*n + 104*n = -211*n + 10120 for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 58*r + 8. Let m(d) = 59*d + 7. Give -5*g(v) + 4*m(v).\nAnswer: -54*v - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -855137 or -855134?\nAnswer: -855137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 3397?\nAnswer: 3400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146 is divided by 66?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 11445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of l**6\/24 + 23*l**4\/24 - 16*l**2. Let x(u) be the second derivative of a(u). Let v(z) = -3*z. Determine v(x(h)).\nAnswer: -90*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*t + 56186 + 4754 = 0. Is t smaller than -1108?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2\/5 - 114*x\/5.\nAnswer: -3*x*(x + 38)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 30 = 5*r, -11*r = -7*r + 8 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -145 - 70. Calculate the remainder when n is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 - 7*j - 2. Give k(-5).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00010913084 rounded to five dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5 - (-141)\/27 - (-4)\/(-18). Suppose -11*o + 10*o - 73 = r. Let t = 105 + o. Is t a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -80 + -702?\nAnswer: -782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(960) - sqrt(60))*-2 + sqrt(60))\/(sqrt(108)\/(sqrt(9)*2) + sqrt(12)) - (1 + -5*(sqrt(720) + 1)**2*-6).\nAnswer: -21630 - 2170*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.05, -3, 1, 2\/17?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 4*(sqrt(85)*2)\/sqrt(5) + -3*(sqrt(612) + -1*sqrt(612)).\nAnswer: 2 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17023 + -10289. What is the hundreds digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22355 + -1954. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -138885*x - 833321. Give v(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 - -21. Let t = -3.5 - z. Which is the second smallest value? (a) -2 (b) t (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + g**2 + g - 7. Suppose -3*y = 5*u, 5*u - 5*y = -0*u. Let x be c(u). Let h = x + 11. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 60380?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24019018?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 9, b: 7}. What is prob of picking 3 t and 1 b?\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -6, -495 in descending order.\nAnswer: 3, -6, -495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w - 3. Let k(m) = -m + 2. Let o(r) = 4*k(r) + 3*z(r). Let n(d) = 21208*d + 6 - 7 - 21211*d. Give -n(q) + 2*o(q).\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -9*j**3 - j**2 + 5*j + 5. Let c be r(-2). Suppose 0 = -3*u + 6 + c. Does 6 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81 - 103 + a - 4*a.\nAnswer: -3*a - 184","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 45*u**2 - 2265*u + 9095. Give s(4).\nAnswer: 755","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.9, 3\/17, -68, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-10)*104\/234.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gv when two letters picked without replacement from {m: 1, g: 1, z: 2, v: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 632814 to the power of 1\/3, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*j**2 + 176*j**2 - 57*j**2 - 61*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -27, -2 in decreasing order.\nAnswer: 4, 2, -2, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 4 - 4)*(3*f + 2*f - 3*f) - 1 - f + 1)*(f - f - f).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-12) - (-9)\/12. Suppose 9*v + m = -a + 4*v, 4*v = -a. Solve 5*h = a*h + 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-4)*d)\/(d**12*d) assuming d is positive.\nAnswer: d**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3447, 0.018, -0.5, 1 in ascending order.\nAnswer: -3447, -0.5, 0.018, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -43*c**2 + 120*c**2 - 36*c**2 - 40*c**2. Let u(n) = -17*n**2. Let f(l) = 407*l**2. Let j(v) = -6*f(v) - 143*u(v). Calculate o(j(y)).\nAnswer: 121*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)\/(4*-2*sqrt(10)).\nAnswer: -sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 7:34 PM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -13*j**2 + 375*j + 295973. Determine d(166).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 - (-9 + 66) - (4 - 18)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -64, -107, -158, -217, -284?\nAnswer: -359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -7, -5, -3156 in descending order.\nAnswer: -5, -7, -22, -3156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5\/4182 + 33227\/2788. Find the common denominator of f and 122\/(-24) - (-3 - -1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**4)**36\/(n\/((n**(-4\/7)*n)\/n)*n**(-1)) assuming n is positive.\nAnswer: n**(1004\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 21 = -7*v. What is the tens digit of (3 + (5 - 6))\/(v\/(-158))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*p - 4. Let k(z) = -z - 1. Give k(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21+120.993\nAnswer: 141.993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*g + 5*g = 5*g + 40 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -541 = 63*u - 37 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 103 - -382. Suppose 2*l + 485 = 6*t - t, -5*t + 3*l = -s. List the prime factors of t.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17628946*w**2 + w - 2557609 wrt w?\nAnswer: -35257892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28491?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -24, -651, -2178, -5055, -9732, -16659?\n\"Answer: -75*t**3 - 102*t + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a + 9 + 1 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 9 = 1. Suppose -4*r + 16 = 0, 0 = 4*g - 8*g + 3*r + 16. Factor -l*i - 11*i**3 - 3 + g*i**3 - i**2 + 5*i**3.\nAnswer: (i - 3)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(-1 - 0)*-30. Suppose x + 13 = h. Let a = 36 + x. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8975363253?\nAnswer: 3, 2991787751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 1 (b) 3 (c) -2\/3 (d) -0.01305 (e) 4 (f) 27 (g) -2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*w + 1480 + 1257 - 12997 = 0 for w.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 9*s + 5 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seventeen halves of a century?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 185064697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 7) to base 14.\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 3*x**2 + 2*x + 1. Let k be o(-2). Solve k = -y + 5 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*c - 889 + 889)*(8*c**3 - 8*c**3 - 6*c**4).\nAnswer: -78*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8407243 + -3833243. What is a rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9344*o**2*s**2 + 468627*o**2 - 777*o*s**5 - 22*o*s wrt s.\nAnswer: -18688*o**2 - 15540*o*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -z - 4039443, -j + 5*z = j - 4039447. Suppose -13 = -4*d + 47. Suppose -d*m = -j - 320279. What is m rounded to the nearest ten thousand?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-618 - 774 + 518 - 191)*(0*v - 3*v - 7 + 5*v).\nAnswer: -2130*v + 7455","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of 16*q**3 - 84*q - 38. What is the first derivative of w(x) wrt x?\nAnswer: 96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 62 and 28365?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 407119, 407079, 407037, 406993, 406947?\nAnswer: 406899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -j + 6, 4*j + 5*w = -13 + 28 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**2 - h**2 + 161*h**3 - 127*h**3.\nAnswer: 34*h**3 - 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**31\/k**5 assuming k is positive.\nAnswer: k**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3494766 times -0.3?\nAnswer: -1048429.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50 + 12*c**2 - 664*c**2 + 3*c - 50 - 5*c.\nAnswer: -652*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(-2\/45)*i\/i**9*(i**(3\/5))**11 assuming i is positive.\nAnswer: i**(-4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-4) - 49612607\/22. Let c = -1464285 - s. Suppose 849167 + c = 2*n. Round n to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -15*w - 15. Let q(h) = 15*h + 16. Let b(z) = -3*o(z) - 2*q(z). Let k(m) = -8*m - 7. Suppose -14*c + 19*c + 30 = 0. Give c*b(s) - 11*k(s).\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - 8*l + 13. Let x be s(7). Suppose x*o + o = 238. Suppose 0 = -32*b + o*b - 228. Is 19 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2024 + -2023.9997549. What is q rounded to 5 dps?\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + (-6 - (1 + 0)). Let x = -8 - w. Let a(c) = c**2 + c - 1. What is the units digit of a(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-64))\/((-3)\/20)*(-12)\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*w = -96*w - 100*w + 3200 for w.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 divided by 5.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(51) + sqrt(3264)*4)*-4)\/(1*sqrt(3)*4 - (sqrt(3) + sqrt(3) + sqrt(96)\/sqrt(2))).\nAnswer: 66*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2 = 4*n - 30, 0 = 2*n - 3*k - 19. What is the closest to 2\/3 in -3, -2\/9, 8\/15, n?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-3) + 32\/12. Suppose 5*y + 38 = -4*x, 2*x + 4 = y - 2*y. Let o be (-36)\/y - h\/(-5). Solve 4*d - 8*d = o for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 2*m**2 + 2*m - 1. Let p be l(2). Suppose -14 = -p*w - 2. Suppose -4*v = 5*t - 21, -4*t = -w*v + 9 + 3. Is t <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -8*g - 45. Let d be u(-6). Let y(x) = 7 - x + 2*x - 1123*x**2 + 1122*x**2. Determine y(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 17*i**2 + 2*i - 1. Let b be x(1). Let c(h) be the second derivative of h**4\/12 + h. Let j(v) = 5*v**2. Let p(m) = b*c(m) - 4*j(m). Factor p(z).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - c = 27 + 4, z - 2*c - 8 = 0. Let i be (-819)\/(-35) + z\/10. Suppose 8*s = 10*s - i. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 363 + -8. Let o = n - -1104. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - b - 29. Give h(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 224 divide 6272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 52 + -47 + (1 - 10)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5473878 is divided by 487.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 15*b + 20. Let d be c(12). Let y = d + 16. Suppose 6*x + 58 - 160 = y. Calculate the remainder when x is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*(-1)\/48*4*8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4956 - 8743?\nAnswer: -3787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - 5 - 16 - -7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 4*b + 5 = 0. Suppose -b*i + 24 = -2*i. What is the units digit of 1\/((-4 + 8)\/i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3*f - 8. Let g be 17\/6 - 5\/(-30). Let o be u(g). Put -2, 5, o in decreasing order.\nAnswer: 5, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 153*o - 137*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -31, -44, -27, 32, 145, 324, 581, 928?\n\"Answer: 2*t**3 + 3*t**2 - 36*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 5) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2515189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*k + k. Let t(o) = o**3 - 4*o**2 - 4*o - 7. Let d be t(5). Sort 5, d, k in ascending order.\nAnswer: d, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 150706 + -31.94.\nAnswer: 150674.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 1)*(r + 2*r - 4*r)*(4 + 1 - 1).\nAnswer: -16*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 20 = -3*v. Let u(x) = x**3 + 0 - 2 + 4*x**2 + 0 - 4*x. Give u(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of g**5\/60 - 2*g**2 + 12*g. Let p(i) be the first derivative of b(i). Let z(f) = -4*f - 39 + 39. Determine p(z(k)).\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(-6\/5)*l*l**(-24) assuming l is positive.\nAnswer: l**(-116\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/31, -2\/3, -10\/11, 5, -5\/2 in ascending order.\nAnswer: -5\/2, -10\/11, -2\/3, 2\/31, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - (-212 + -3 + 1*2). Calculate the greatest common factor of g and 1188.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38190*f + 5136 = -37548*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 117 + 100. Let c = 216.99999771 - m. What is c rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108 and 1080?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 1 - (-6 + 421). Let u = l - -1256\/3. Let f = -395 + 839\/2. Calculate the common denominator of f and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 58*s**3 + 3*s**2 + 4*s + 209. Let o(f) = 159*f**3 + 9*f**2 + 11*f + 626. Calculate 4*o(u) - 11*p(u).\nAnswer: -2*u**3 + 3*u**2 + 205","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 894867.8mm in micrometers?\nAnswer: 894867800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -4*p**4 - 24*p**3 - 52*p**2 - 48*p - 16 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -7*u**3 + 5*u**2 - u - 9. Let o be w(-10). Suppose -4*a + o = 44301. What is a rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 20 = -4*g. Suppose -5*b = -d + 43, -d + 299 = 4*d + 3*b. Calculate the remainder when d is divided by (3\/1)\/(3\/g).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54582?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(500)*5.\nAnswer: 50*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -161 + 283. Let u = w - 120. Which is the nearest to 1? (a) u (b) -4\/9 (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1202*b**6*p - 299*b**3*p**2 + b**2*p**2 - 85*b**2*p - 25*b**2 - 2*b*p - 4 wrt b?\nAnswer: -144240*b**3*p - 1794*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 - 154 = 8*a. Which is smaller: -28 or a?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96442 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -27856 and -3?\nAnswer: 27853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 6*p + 5. Let l(n) = -n. Let g(o) = -5*l(o) - z(o). Calculate g(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = 19724890 - 6774890. What is u rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.021 times 1270.6\nAnswer: 26.6826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -239*d**3*k + 104*d**3 + 1956*d*k + k - 7 wrt d?\nAnswer: -1434*d*k + 624*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1715771079?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31074 is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49 + -46. Calculate the lowest common multiple of 2 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.9, -5, 1\/8, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1227085 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10477 - 3)\/((-4)\/(-54)*33). Let h(c) = -612*c - 3. Let m be h(-7). Let j = m - l. What is the common denominator of j and 5\/9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01071826431 + -0.291?\nAnswer: -0.30171826431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 22*s**3\/13 + 174140*s**2\/13 + 344551816*s\/13 - 187989168\/13 = 0. Calculate s.\nAnswer: -3958, 6\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1123590014?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36530647 to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 2*f + 9821, 3932 = 28*a - 26*a - 2*f. What is the hundreds digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2*b + 4*s = 972, -4*b + s = -3888. Let z be (2\/6)\/(36\/b). Let o = -11 + 38. What is the highest common divisor of o and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 393652606 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b808 - -ba?\nAnswer: -1b70a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.32 plus 16540160?\nAnswer: 16540191.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 9749 divide 1958252383?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1029.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 16*p**3 - 169*p**2 - 94*p + 263. Calculate o(11).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -351 - -356. Solve s*t - 15 - 30 = -5*k, 0 = 4*t - 5*k + 9 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -127186 - -127179.000045. Let r = i + 7. Round r to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -656 - -644. Let x be -48*6*(-5 - 18\/r). Calculate the highest common divisor of x and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 4*b + 417 + 391, 2*k + 389 = 3*b. Let m be 0 - 6*(-1)\/2 - k. Let a = m + -115. What are the prime factors of a?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 2*w + w**2 + (3*w - 2*w + 0*w)*(-4 + 4 - 2*w) - 7*w**2 + 496 - 496)*(3 - 5 + 4).\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(65)*2)\/(6*(sqrt(5) - sqrt(125)) - sqrt(5)).\nAnswer: 2*sqrt(13)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kakaka. Give prob of picking 2 k.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/2, 0.1, -10.7984?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-50)*(50\/315)\/((-48)\/84)*-30?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -3. What is the closest to -1 in o, -0.2, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8.58? (a) 0 (b) -3\/4 (c) 5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minus -23308232?\nAnswer: 23308238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 + 0.8. Let p = -44 + 44.2. Let u = -0.7 - -0.4. Which is the nearest to q? (a) -0.5 (b) p (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzw when four letters picked without replacement from zzwtwtzztzww.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, -1\/4, 673, -3 in increasing order.\nAnswer: -3, -1\/4, 3\/7, 673","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (903 + 332*a - 903)*(-1 + 2 - 5)*(-10 + 10 + 2*a) to w + c*a**2 + s*a and give c.\nAnswer: -2656","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6834156158 rounded to 5 dps?\nAnswer: -0.68342","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -z**6\/10 - 9*z**5\/10 + 35*z**4\/4 - 24*z**3 + 30*z**2 - 146*z. Factor w(d).\nAnswer: -3*(d - 2)*(d - 1)**2*(d + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5 + (2*sqrt(1700)*1 - sqrt(1700))**2.\nAnswer: 1699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 144\/20 + (-2)\/10. Let m(o) = 2*o**3 - 3*o**2 - 2. Let w(l) = l**3 - l**2 - 1. Let u(x) = 6*m(x) - 11*w(x). Determine u(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 4*w - 2. Suppose j - 3*o - 7 = 8, o = -2*j + 2. Let d be (3 - (-3)\/j)\/2. Suppose d*p + p - 15 = 0. What is h(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 313 - 223. Is d a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -409 - -417. Calculate the smallest common multiple of 28\/21 + 32\/3 and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 412 - 398. Sort l, -3, -2, -4.\nAnswer: -4, -3, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29443*x**5 - 451780*x**2?\nAnswer: 1766580*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -441360 - -441355. Let r = -2 - -2. Suppose 0 = -r*x - 4*x + 4. Which is bigger: g or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -1010110100?\nAnswer: -1010110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/22? (a) 11 (b) -0.4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1626, 1625, 1616, 1593, 1550, 1481, 1380?\n\"Answer: -d**3 + 2*d**2 + 1625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 7) to base 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34591*n**2 + 4*n - 1228 + 34591*n**2 - 8285*n**3 wrt n?\nAnswer: -49710*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -145.99896 - -146. What is j rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 42*m**3 + 3*m**2 + 4*m + 10. Let k(n) = -43*n**3 - 4*n**2 - 6*n - 9. Let b(x) = 3*k(x) + 4*u(x). What is the second derivative of b(o) wrt o?\nAnswer: 234*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - r**2 - 1. Let a be ((-18)\/(-15))\/(9\/(-45)). Let f(b) = 9*b**3 - 8*b**2 - 4. Determine a*k(m) + f(m).\nAnswer: 3*m**3 - 2*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*a**3 - 10*a**3 + 1 + 5*a**3.\nAnswer: -15*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 34 + 12 = g, -92 = -2*g + 2*b. What is the common denominator of 55\/13 and (-2)\/4 + g\/230?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 12*g**2 + 176*g + 17. Does 143 divide m(-29)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 442136205 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 2:37 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17768 - 17752. Which is the third biggest value? (a) -1 (b) -5 (c) -14 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bvvazvaqvvvaqv. Give prob of sequence zva.\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*l - 9*l + 15*l**4)*(6*l - l + 3*l).\nAnswer: 120*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 19 = -6*y + y, 3*y = -4*b + 40. What is the first derivative of -32 + b - 20 + 24*q wrt q?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -5)*(26 - (-992)\/(-48))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 11*u + 3. Let x(n) = 22*n + 5. Let h(o) = -5*q(o) + 3*x(o). Let d(j) be the third derivative of j**4\/8 - 6071*j**2. Give h(d(z)).\nAnswer: 33*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7 - -3)\/(1\/2). Solve 2*y = -3*y + f for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h - 4. Let z = 26 - 26. Suppose 4*m + z*m = 20. Let w(i) = -3*i - 5. What is m*g(j) - 4*w(j)?\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.05 - -4.95. Which is the biggest value? (a) -4 (b) t (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57666824.\nAnswer: 2, 19, 379387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.013 - -4.213. Let t = 4 - x. Let j(o) = -4*o**3 + 2*o**2 - 2. Let f be j(-1). Which is the second smallest value? (a) 0.3 (b) t (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -0*v - 40. Let m = -658 - -659. Put -3, m, v in descending order.\nAnswer: v, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -5511*t + 9817. Is l(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 + 0 + (-24)\/8. Let k(b) = -2*b + b**2 - 5 + b + 1 - p*b. Suppose 10*m + 15 = 3*r + 8*m, 5*r - 6 = -3*m. Determine k(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1299672846?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 10, w: 2}?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f - 7. Let c be i(6). Suppose -2*o = -c*h - 1 - 7, -5*o = 4*h + 13. Let j(g) be the first derivative of -3*g**2\/2 + 1. Calculate j(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 5 + 2*h - 4*h - 3*h + h. Let o(a) = -9*a + 11. Let f = -12 - -5. Let u(v) = f*k(v) + 3*o(v). Calculate u(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 2) to base 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -37 in decreasing order.\nAnswer: 4, -5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -0.2 (c) -7.03 (d) -0.3 (e) 0.1 (f) -0.05\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -5470 at most as big as -40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 80 and 2752?\nAnswer: 13760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 30*f**3 - 6*f**2 - 15*f + 96. Give p(3).\nAnswer: 807","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -594*y**2 - 590*y**2 + 22*y - y**3 + 1182*y**2 - y**3 as w*y**3 + f*y**2 + u + b*y and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 15760.\nAnswer: -1\/3152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32111010 - 12?\nAnswer: -32111022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + -1)\/((-1)\/(-2)). Let b(v) = -v**3 + 0*v + 0*v**3 + 7*v**c - 4 + v. Let l be b(7). Solve 10 = -l*p - 2*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 26, -50, -1\/76?\nAnswer: -1\/76","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1206, -1182, -1134, -1056, -942, -786, -582?\n\"Answer: f**3 + 6*f**2 - f - 1212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -77 or -76?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 992403720*h**4 + 19*h - 2556170.\nAnswer: 11908844640*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of -37*q**5\/12 - q**4\/6 + 5*q**3\/6 + 2*q**2. Let i be n(2). Let g = i - -1376. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -6 (b) 0.5 (c) 0 (d) 11\/15 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -2*z**5\/5 - z**4\/12 - z**3\/2 - z**2 + 9*z. Does 3 divide u(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 9*i - 2 = -8*i, 5*f = 4*i - 18. Which is greater: f or -24?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 5:42 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 7*n**3 + 5*n**2 + 4*n + 1. Let c be j(-1). Let u(q) = q**3 + 7*q**2 + 11*q + 11. Give u(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116780728447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 + z**2 - 4*z**2)*((-729 + 1614 + 183)*(2 + 3 - 4) + 3 - 5 + 0).\nAnswer: -4264*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - i + 18, -7*l + 2*l + 4*i - 27 = 0. Let b(n) = -21*n - 3. Let q(f) = 11*f + 2. Calculate l*b(o) - 5*q(o).\nAnswer: 8*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3441713 (base 8) to base 4\nAnswer: 3210033023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -224540.1112 to the nearest 10000.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 18*g**2 + 15*g + 6. Let i be t(-18). Let q = -259 - i. Solve -1\/2*j**2 + 0*j**4 - 1\/4*j**q + 1\/2 + j**3 - 3\/4*j = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100 - -101101?\nAnswer: 111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-332)\/(-10) + 1\/(-5).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 252722504.\nAnswer: 2, 31590313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-9)*0\/(-1))\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d + 190 = 204 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5699*y**3 + 5703*y**3 - 37*y**2 + 75*y**2 - 17093*y**3 - 38*y**2 + 5695*y**3.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -10*b + 3. Let i be (-40)\/(-30) + (-4)\/(-6). Let n be g(i). List the prime factors of 1\/1 - -1 - n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 1.8. Let i = 532\/5875 + -6\/125. Let y = -51\/94 + i. Which is the smallest value? (a) -5 (b) y (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -224.6 - -224.9. What is the third biggest value in i, -2\/21, -1, 19?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.066 times 0.123?\nAnswer: -0.008118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -7, 11 in descending order.\nAnswer: 11, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (3*sqrt(121)*6 + sqrt(121))\/sqrt(11).\nAnswer: -3 + 19*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 14 = -d + 5*i, 0 = -2*d - 3*i. Let g be (-2 + 2)*(-2)\/d. Which is smaller: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19789? (a) 0.12 (b) -2\/3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1194, -5069, -8940, -12807, -16670, -20529, -24384?\nAnswer: -28235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 405546.4 days in weeks?\nAnswer: 57935.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29789153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*t - 73*t - 582 = 0. What is the remainder when t is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 + -7. Let b = w - 22.38. What is b rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-6)*46476\/(-16). Suppose -3*p + 2*g + 5236 + 703 = 0, -4*g = p - 1975. Let d = n + p. Calculate the common denominator of -11\/6 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 3*w - 11 = -4, -2*j + 3*w + 17 = 0. Suppose j*b - 5 = -b - 5*a, -2*b = -4*a - 26. Solve 1 = b*d - 9 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of 0*k**4 + 0*k**5 - 7\/15*k**6 - 13*k + 0*k**3 + 0 + 5*k**2. What is the first derivative of z(m) wrt m?\nAnswer: -56*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*d = -122*d + 2576. Suppose -660*q + d = -652*q. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of 280\/27*m**3 - 2*m + 108 + 1225\/54*m**4 + 16\/9*m**2. Factor u(d).\nAnswer: 2*(35*d + 4)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -459, -472, -499, -546, -619, -724, -867?\nAnswer: -1054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -148, 3 in descending order.\nAnswer: 3, -15, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 3:25 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 1116*x**2 + 6740*x + 2. What is w(6)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05795 times 1.7?\nAnswer: 0.098515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -108500 rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - r + 5. Let u be z(0). Suppose -u*f = -227 - 58. Let t = f - 16. Is 16 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1459 is divided by 356?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of 0 + 0*v**3 - 1\/12*v**4 - 4*v**2 + 0*v. Let i(h) = 95*h**2 - 67*h**2 - 25*h**2. Give c(i(z)).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 11*q - 5985. Let k = 665 - q. Is k a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of 599*h**4\/12 + 325*h**3\/3 + 781*h. Find the second derivative of u(j) wrt j.\nAnswer: 1198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 68 + 22 = 0. Let u = j - -768. Suppose 4*i = -5*m + 3981, i - 2*i - u = -m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 98071 and 65057?\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6234597 to the power of 1\/3, to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*m, -2*y + 6*y - m - 27 = 0. Suppose b = -3*k + 36, k = 4*k - y. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -56.98 + -117.19. Let q = 6.77 + p. Let h = 154 + q. What is h rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100337935 rounded to the nearest one hundred thousand?\nAnswer: -100300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzzz when four letters picked without replacement from zzlzzzzzzzlzz?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 8*z**2 + 4*z - 5. Let q = 3 - 14. Is m(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -211.613\nAnswer: -63.4839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - -5)\/((-144868)\/36220 - -4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d + 1. Suppose -2*j = 3*j. What is the units digit of t(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**3 - 2*w**3 - w**3 - 13 + 13 - 7*w**3 + (2*w**2 + 2*w - 2*w)*(-2 + 2 + w) - 64*w**3 - 207*w**3 - 30*w**3.\nAnswer: -308*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of 90*u**7\/7 + 2*u**5\/5 + 6*u**3 - 3*u**2 + 597. What is the third derivative of y(d) wrt d?\nAnswer: 10800*d**3 + 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1103812 and 11556?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*k**3 - 8*k + 6.\nAnswer: -48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*y**2 - 495535*y**3 + 93*y**2.\nAnswer: -495535*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224*m + 51 - 125 - 374 = 0. Sort m, 0, 4, -5, -17.\nAnswer: -17, -5, m, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/2))**(-3\/23))**(-2\/11) assuming q is positive.\nAnswer: q**(-3\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1489, -715, 2, 203 in descending order.\nAnswer: 203, 2, -2, -715, -1489","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4760)\/42)\/5)\/(280\/30).\nAnswer: -17\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3 - 3 + 2*v**2. Let o(u) = 25. Let q(d) = 3*d**2 - d + 150. Let t(k) = 18*o(k) - 3*q(k). What is t(i(a))?\nAnswer: -36*a**4 + 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -305 < -304?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-3\/14))\/(w\/w**(5\/2)*w)*w**12\/(w**(3\/8)\/w) assuming w is positive.\nAnswer: w**(779\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 1 + 4 - 81*x**2 + 84*x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15605159?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s**4 - 5*s**4 + 3*s**4 - 4*s**2 - s**4 + 4*s**2 + 6*s**4 + s**4 - 2*s**4 + (-s + s + 2*s)*(-3*s**3 + 0*s**3 - s**3).\nAnswer: -3*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 113841217?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_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 ((-1)\/(((-106)\/159)\/((-56)\/(-6))))\/((-6)\/9)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 6 - 2 = 0. Find the third derivative of 185*u**2 - 32*u**6 - 84*u**2 - 84*u**o wrt u.\nAnswer: -3840*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 327 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124 - 108 = -6*l - 2*i, 5*l - 2*i = 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 24 - (-207 - -169)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4099 (base 10) to base 9\nAnswer: -5554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**5 - 1592*i**4 + 418104*i**3 - 35069408*i**2 - 302809984*i - 461971968.\nAnswer: 2*(i - 268)**3*(i + 2)*(i + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.51 * -743006.\nAnswer: -378933.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 1:13 PM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 44*h**2 - 104*h - 671. Is f(-40) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -9*c**2 - 13*c + 15. Let w(t) = -t**2 - 2*t + 2. Let k(b) = -10*b**2 - 18*b + 19. Let h(d) = k(d) - 6*w(d). What is -13*h(m) + 6*p(m)?\nAnswer: -2*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 902*v**2 - 41*v. Let y(x) = -45*x**2 + 2*x. Calculate 8*m(s) + 164*y(s).\nAnswer: -164*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 175447.74 months?\nAnswer: 14.620645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(99) + 0).\nAnswer: -9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - 14) + 22 - 4 - (-48 + -1).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -298506 divided by 1118.\nAnswer: -267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2436 and 1566?\nAnswer: 21924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -408*n + 376535 - 406727 = 0 for n.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -85521, -342216, -770035, -1368972, -2139021, -3080176, -4192431, -5475780?\n\"Answer: b**3 - 85568*b**2 + 2*b + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 + 39660*y**3 - 35 - 43387*y + 43387*y.\nAnswer: 39660*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000191597222 to 6 dps.\nAnswer: 0.000192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3*t + 7. Let l be s(-3). Let q be -3 + 1 + l + -3. What is the greatest common factor of 33 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of z**8\/112 + z**6\/60 - z**5\/20 - z**4\/12 - z**2 + 4. What is the third derivative of f(j) wrt j?\nAnswer: 180*j**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.177370989 minus 1891?\nAnswer: -1891.177370989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -643.99566 to 2 dps.\nAnswer: -644","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -9, 5, -2\/3 in decreasing order.\nAnswer: 5, 0.5, -2\/3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.483 - -1.783. Let b = 8.8 + -7.5. What is the biggest value in b, 0.7, y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -20*j - 2. What is t(-1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 14) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9\/85 + -7373\/595. What is the second biggest value in 2\/7, p, 1, -4\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 8:08 AM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1257, 5235, 11865, 21147, 33081, 47667?\nAnswer: 64905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-28)\/49*14\/(-10). What is the second biggest value in -2, i, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 58796037*f**2*g**2 + 266*f + 50904*g**2 wrt f?\nAnswer: 117592074*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-30)\/(-35))\/(2\/(-14)). Let j be -1*(c + 4 + -3). Suppose j*b = 156 + 9. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 26*j**2 + 2796*j + 5478. Give s(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -1 - (237 + -120 + 36) - -16?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/(-6) - 26\/(-4). Suppose -m + 13 = -w*p + 1, 5*p + 8 = -m. Differentiate 0 - 2*n + m*n + n + 2 with respect to n.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 317189606?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 19*k**2 + 5*k. Determine o(-19).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - 2. Suppose -5*h = -4*k - 32, -2*k - 2 - 20 = -4*h. Sort -1, k, 13, u in ascending order.\nAnswer: u, k, -1, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 102*d**3*h**2*p + 423*d**3*h**2 - 9*d**3*h + 5*d**2*h**2 - 59*d**2 - 12102*d*h**2*p wrt p?\nAnswer: 102*d**3*h**2 - 12102*d*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20111 + 202102001?\nAnswer: 202011120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 5, -g - 2 + 3 = 4*s. Sort 5, g, -4 in increasing order.\nAnswer: -4, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**2 - 4*z + 1. Let r(j) = -141*j**2 + 188*j - 47. Let l(b) = -r(b) - 47*v(b). Let m(f) = 36*f**2 - 1. What is l(m(p))?\nAnswer: 60912*p**4 - 3384*p**2 + 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h*h**(4\/5)))**32)**(2\/15) assuming h is positive.\nAnswer: h**(-192\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 34, 83, 120, 139, 134, 99?\n\"Answer: -z**3 + 56*z - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 101 + 21211?\nAnswer: 21312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15639 rounded to 3 decimal places?\nAnswer: 0.156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 212 a factor of 1553709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of u**3\/3 + 2. Calculate the remainder when q(2) is divided by (-12)\/(-3) + -2*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(833) + 1*sqrt(833))**2 + -3.\nAnswer: -19995","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*t = -20*t - 124 - 110 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 28*n**2 - 12*n + 4. What is g(-2)?\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of 4*f**5\/5 + 9*f**4 + 16*f**3 - 88*f**2 - 192*f - 584. Suppose v(w) = 0. Calculate w.\nAnswer: -6, -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-17)*d*d*d*d**(-3\/4)*d\/d**0*d*d*d**(-13))**4 assuming d is positive.\nAnswer: d**(-99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5950*n + 5946*n = 4*g - 32, 0 = -4*n + 3*g + 53 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-318 - 3)*(-558)\/1485. Let x = 554\/5 - k. Is -10 smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -247970733*b*o**2 + 2357*b*o - 4290*b wrt o.\nAnswer: -495941466*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*3\/(-24)*4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -2\/4401 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - -6. What are the prime factors of c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17912 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + (-5)\/25*-15. Solve -2*g - q*y - 5 = -7, 3*g + 18 = 4*y for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 8*l**3 - 9*l**2 - 7*l - 110. List the prime factors of s(10).\nAnswer: 2, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*h + 4604 = 12020. Solve 0 = -58*q + 97 + h for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 2086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2026 and 12072.\nAnswer: 24457872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -52? (a) -1 (b) -5 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 93, 4, 0, -5, 5 in decreasing order.\nAnswer: 93, 5, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*6 - (-5 + 4). Let l = h + 14. What is the highest common divisor of l and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*-6.185\nAnswer: 6.185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*u**3 - 4195*u**2 + 714410*u + 29755800 = 0. What is u?\nAnswer: -1355\/6, -36, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 5*v**2 + 8*v + 17. Let o be h(-6). Suppose -18 = -6*d + o*d. What is the units digit of (-20)\/(-25)*(d\/4 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1691 + 1215*y - 9393*y + 1691 as a + k*y and give k.\nAnswer: -8178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1121.\nAnswer: 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ea when two letters picked without replacement from {e: 1, u: 2, t: 12, s: 1, a: 3}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*z**3 + 4808*z**2 - z + 4797*z**2 + z - 9626*z**2 as j*z + c + g*z**2 + b*z**3 and give g.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f + 11. Let r(o) = 3*o**2 - 17*o - 4. Let p be r(6). Let z(q) = 5*q**2 - q**2 - p*q**2 - q**2. Determine z(c(l)).\nAnswer: l**2 - 22*l + 121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(130) + sqrt(130) + sqrt(130)*-3) + -2*(sqrt(130)*-1 - sqrt(130)))\/(-1*sqrt(1210)*-4*3).\nAnswer: sqrt(13)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-8460)*-6*2*(-4)\/(-16)*-5.\nAnswer: 1\/94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.5 (b) 0.144 (c) -5 (d) 80\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of r**5\/30 - 6*r**3 - 29*r**2. Differentiate l(t) wrt t.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*m**2 + 380*m**3 + 37 - 4*m + 40*m**2 - 36 + 4*m.\nAnswer: 380*m**3 - 5*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + (-3)\/(45\/(-13)). Let b(y) = y**3 + 8*y**2 - 10*y - 9. Let d be b(-9). Suppose d*x + 3 = 3*x. Which is greater: o or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -5*g**2 + 30*g + 11. Let u be j(6). Let x(i) = -6*i + 66. Let f be x(u). Solve 0 = -4*m - 3*h + 19, f*m - 2*m - 5*h = -27 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of 5*y**4\/4 - y**3\/3 - 2*y**2 + 2*y + 152. Does 58 divide x(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*h**4 + 3*h**2 + 102*h.\nAnswer: -108*h**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5\/6 - 2\/3. What is the closest to -2 in 0, 1\/6, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -760611?\nAnswer: 760610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (4 - (-2 - -9))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.136 + 0.064. What is the closest to y in 0, 5, 1\/5, -15?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104063980 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9115 is divided by 1139?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65 + a + 11*a - 65.\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3*g - 35 = -z, -4*z = 5*g + 166. Let c = g + 39. Suppose 0 = 4*h - 5*k - 66, -5*h - 2*k = c - 104. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 543.4313 millilitres to litres.\nAnswer: 0.5434313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 5:22 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -550 - -574. Suppose n - 20 = -h, -n - 6*h = -7*h - w. Solve -4*r - 6 = -n for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 4*s - 26, 2*s - 3 = -s - 4*r. Let q(j) be the third derivative of j**6\/120 - 5*j**4\/12 + 4*j**3 + j**2. List the prime factors of q(s).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2570479303.\nAnswer: 7, 47, 7813007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d + 1. Let c(y) be the second derivative of 21*y**5\/20 + 2*y**3\/3 + 5*y**2\/2 - 8538*y. What is -c(j) + 4*s(j)?\nAnswer: -21*j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(504)\/sqrt(8) - -5*(1 + sqrt(7))) + 0)*-2.\nAnswer: -16*sqrt(7) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*o + 24*o - 44*o + 92 + 320 - 78 to the form t + u*o and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172517843.\nAnswer: 172517843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 98*r + 4. Let b be f(2). Suppose 0*l - l + 20 = 4*p, 5*p + b = 5*l. What is the greatest common factor of l and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 2*m - 2*m)*(-m + 7*m**3 + 5*m - 3*m).\nAnswer: 14*m**4 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -45 - -493?\nAnswer: 44d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 30183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 901 - 893. Solve -u*t = -10*t - 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10840 (base 10) in base 14?\nAnswer: -3d44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.32 in -4\/5, 0, 3\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -22*f*w**3 + 26*f*w**2 + 55*f*w + 30*f + 92670*w**3 + 398 wrt f?\nAnswer: -22*w**3 + 26*w**2 + 55*w + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-5))\/(-15*(-7)\/(-225)*(-12)\/266)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -20 + (-6 - -12 - -6)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**2\/4 - 31218*y + 124871\/4 = 0 for y.\nAnswer: 1, 124871","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1223300 (base 5) to base 6.\nAnswer: 301051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12816225 is divided by 3717.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/31 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, i: 3, u: 4, e: 5, d: 1, j: 4}. What is prob of sequence wud?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -8*m**3 + 4*m**2 - 4*m - 4. Let g(k) = -9*k**3 + 5*k**2 - 5*k - 5. Calculate 4*g(a) - 5*i(a).\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 0 - 6 = 4*w, 2*h + w = 0. Suppose -4*r + u = -16 - 9, -h = 2*u. Let t(g) = g**2 - 2*g + 3. What is the remainder when r is divided by t(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of p**4 + 8*p**3 + 172*p**2 - 88*p + 4 wrt p.\nAnswer: 12*p**2 + 48*p + 344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 62759961.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 5*r + 5. Let d(y) = 2*y + 4. Let i(o) = -d(o) + j(o). What is i(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10878?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 82372 - 154583 - 2*u + 78460 in the form j + t*u and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of -j**5\/60 + 2*j**2. Let y(t) be the second derivative of 4*t**4\/3 - 86*t. Determine l(y(h)).\nAnswer: -256*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2595, -19, 2.\nAnswer: -19, 2, 2595","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 16 = -119. What is the remainder when b is divided by (4 - 7)\/(6\/(-32))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14279959.4 rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 2*x**2 - 3*x + 2. Let d be t(3). Let k(g) = 2*g**2 + d + 4*g - 1 + 0*g**2 - 7*g. Let u be k(1). Let z(f) = -f**3 + f**2. Calculate z(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 6) + 290 + -263 - 27 - (-1 - 64)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 204671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -1239?\nAnswer: -4956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1724939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 9965?\nAnswer: -9968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2491 and 318?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y + 2. Let u be o(-6). Let x(p) = 13*p**3 + 6*p**2 - 8*p + 9. Let f(r) = -7*r**3 - 3*r**2 + 4*r - 5. Let q(m) = 11*f(m) + 6*x(m). Determine q(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60) + (sqrt(960) - 1*sqrt(960)) + sqrt(60))\/((3*sqrt(84))\/sqrt(7)).\nAnswer: 2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 4 - (5 + -6 + 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnw when three letters picked without replacement from wwwwwwwwwwnnwwwwww.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 12:35 AM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 20.571 <= 0.873?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 326792*m**3 + 47094*m**2 - 7 wrt m.\nAnswer: 1960752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -768, -3065, -6894, -12255, -19148, -27573?\nAnswer: -37530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 98\/(-70) + 1 - (-9414)\/10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13*((-54)\/72 + 18\/(-72)) + 90.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 7025475 in decreasing order.\nAnswer: 7025475, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 137883.18 minutes?\nAnswer: 2298.053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4524 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 614 - 2704 = -11*z. What is the remainder when z is divided by 61?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77)*-1 - sqrt(77))*-2 + sqrt(77))\/((sqrt(99) - sqrt(11))*-6))**2.\nAnswer: 175\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + 53*a - 164. What is the smallest common multiple of 434 and n(3)?\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35200.02483 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/15397 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 24*f**2 + 2*f - 26. Let o be z(24). Let i = 56 - o. What is the remainder when i is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (2 - -1 - 1) + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5 (b) 2\/13 (c) -2\/29 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 451, 453, 455, 457?\nAnswer: 459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 0. Let m be (p - 2)*(-11 + 1). Suppose 0 = 3*w + 3*d + 9, -3*d + 2 - 11 = -4*w. Solve -5*k + m*k = w for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -8*w + 242. Solve -6*n - w = -0*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-24))\/((-41)\/(-10) + -4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 1101?\nAnswer: -1041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 112351 (base 6) to base 8\nAnswer: 22653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of m**7\/175 + 3*m**6\/50 + 9*m**5\/50 - 264*m**2. Suppose l(u) = 0. What is u?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l. Let m(g) = 10150*g. Let v(j) = 180142204*j. Let o(q) = 35497*m(q) - 2*v(q). Determine o(w(p)).\nAnswer: -20284*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -168 - (-2)\/(-4)*4. Let n(w) = 6*w - 47. Let s be n(9). Is 12 a factor of (-6)\/21 - c\/s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of m**4\/66 + 8*m**3\/33 + 16*m**2\/11 + 8*m. Suppose b(l) = 0. What is l?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 159414750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 385.61 + -4.61. Let q = 379 - i. What is the fourth biggest value in -0.2, 2\/33, q, -2\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ivfllsf. What is prob of picking 1 v, 1 l, and 1 f?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 2) to base 11\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/88 and 29\/10536.\nAnswer: 115896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3284 - -3287. What is the fifth smallest value in -0.5, 13, 1\/5, 0, h?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1137, -1138, -1151, -1182, -1237, -1322?\n\"Answer: -p**3 + 6*p - 1142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from npnnnccnncnkccccn. Give prob of picking 3 n and 1 c.\nAnswer: 14\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (24 + -26)\/(900557\/2701797 - (-2)\/(-6)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nwnownwnnnwnwnnwwnnw. What is prob of sequence nw?\nAnswer: 22\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*2*(-3)\/6. Let t be s\/1*(-7 - -7). Factor -1\/4*p**2 + t*p + 1\/4*p**5 - 1\/4*p**3 + 1\/4*p**4 + 0.\nAnswer: p**2*(p - 1)*(p + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 475 is divided by 159.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*d + 38*d + 37*d to the form l*d + o and give l.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**15\/t*((((t*t\/(t\/t**(3\/13)*t))\/t)\/t)\/t)\/t assuming t is positive.\nAnswer: t**(133\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 2*t - 38. Let s be 3\/6*6 + 0. Suppose -t*n + 2*d = -80, n = -n - s*d + 51. What is the remainder when 33 is divided by n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (224\/84)\/((-550)\/450)?\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = m - 26. Let f = m - -15. Suppose -g - 2*b = f*g + 1, -3*b = -3*g + 9. Solve -2*l + g = -1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*l - 27*l = 153. Suppose 35 = f + 14*p - l*p, -105 = -3*f - 4*p. Calculate the smallest common multiple of f and 56.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*d**2 - 110 + 110)*(-11*d - 1 + 21*d - 5*d) in the form f*d**2 + z*d + g*d**3 + y and give g.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3*f - 147. Let j(g) = -g - 1. Give -a(k) + 5*j(k).\nAnswer: -2*k + 142","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 87095 a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12700487 rounded to two decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2933, -2957, -2981?\nAnswer: -3005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-70)\/(-15))\/(14\/(-21))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -115, -74, -33, 8?\n\"Answer: 41*z - 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-2) - 819\/(-6). Suppose 4*f - 1299 = -b - c, 2*f + b = 581. What are the prime factors of f?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 6, j: 6}. What is prob of sequence dddj?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 0.3, -0.6, -14 in descending order.\nAnswer: 0.3, -1\/3, -0.6, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*g - 72 - 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 12*c**2 - 10*c - 6. Let p be o(11). Suppose -20 = -p*z + 70. Let f = z + -11. What are the prime factors of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7.9 and -446.6.\nAnswer: 3528.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 342810 and 293?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o + 2. Let r be c(5). Suppose 2*u + 0*u - 2 = 0. Let w(z) = z - 3*z + u + 3*z. Determine w(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 9*f**2 + f - 10. Let z(t) = t**2 - 4*t + 9. Let r be z(4). Let k be a(r). Which is smaller: 7\/6 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 89, 95, 103, 113, 125, 139?\n\"Answer: w**2 + 3*w + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0014791215 rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -118*l + 582. Calculate c(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 326538334 to the nearest integer?\nAnswer: 18070","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h**2 - 2*h - 3. Let d be f(-2). Suppose 0 = d*p - 9*p - 40. Suppose 3*z = -2*z + p. Which is the nearest to 0? (a) 2\/3 (b) 3\/4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*b + 9 + 15. What is the smallest value in b, 0.2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2. Let h(r) = -27*r - 9. Calculate h(m(j)).\nAnswer: -54*j**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 11:27 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -7*j**5\/10 + 19*j**2\/2 - 2*j. Differentiate t(q) with respect to q.\nAnswer: -42*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 12, 5*b + 0*s + 2*s + 4 = 0. Let h(l) = -l**2 - 2*l - 3. Give h(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 416162 is divided by 178.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 840 and 5964.\nAnswer: 59640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12 - 34?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6610 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-3040)\/64)\/19*2*-3\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2*c**5\/13 - 370*c**4\/13 + 37378*c**3\/13 - 246046*c**2\/13 + 271504*c\/13 + 555296\/13 = 0?\nAnswer: -259, -1, 4, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 8*f + 157. Let i be p(9). Put -3\/314, 0.3, i in decreasing order.\nAnswer: i, 0.3, -3\/314","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 6*w + 5*n - 560, -4*w + 445 = n. Suppose -11*k + 8*k + w = 0. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25600943 to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 - 5 + 3)*(1 - 1 - x) + 3*x + x - 2*x)*(6*x + 14*x + 11*x) to the form q*x + t + w*x**2 and give w.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hkpk when four letters picked without replacement from {h: 2, n: 2, b: 1, k: 2, s: 1, p: 1}.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 49, 47, 43, 37, 29?\n\"Answer: -u**2 + u + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 + 95 + -31 + 17 + -2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11397 - -11398. What is the second smallest value in 143, y, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -4*p**3 - 8*p**2 + 2*p + 6. Let k be s(-3). Solve -q - 11 = -3*u, -8*q - 4*u + k = -4*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 645 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-106)\/(-8) + (-1)\/4. Suppose k = -4*d - 3. Let i be (-1)\/d - (-71)\/4. Solve -5*n + i = 4*s, -5*s - 3*n + 16 = -0*n for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 3 - 3)*(q + 3*q - 5*q) + (-12 + 9 + 1 + 2*q)*(4 + 0 - 2) in the form k*q + r and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -79833414 and 1981.551?\nAnswer: 79835395.551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**3 - 2*o**2 - 224*o - 5. Let b(u) = 10*u**3 - 11*u**2 - 1121*u - 27. Determine -2*b(z) + 11*w(z).\nAnswer: 2*z**3 - 222*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36981 and 273?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107 = -5*s - 2*a, -12496*a - 867 = -12513*a for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of (28*-23)\/(-7)*424\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6271695\/4 or 1567925?\nAnswer: 6271695\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -44 - (-64170)\/1674?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 4*z**3 - 29*z**2 + 688*z. What is the thousands digit of x(17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-7) - (-6 - 204\/(-14)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -5*x + 168. Suppose 2*a + 2*n = 62, -2*a + 5*a = -5*n + 87. Let c be i(a). Sort -5, c, 5 in descending order.\nAnswer: 5, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -632689, -1265379, -1898069, -2530759, -3163449, -3796139?\n\"Answer: -632690*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 508, 1338, 2168?\nAnswer: 2998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.23 in -40, 0.4, -1\/2, -22\/79, 4\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-9) + 224\/144. Suppose -4*t - 4*v + 36 = 0, 6*v - 18 = -t + c*v. Solve -11*b = -5*b - t for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 57 - 52. Suppose -n*v - 112 = -2*m, -3*v + m = -m + 68. Let b be v\/(-3) - (-8)\/(-24). Do b and 4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213.6052 days to minutes.\nAnswer: 307591.488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 859902 divided by 7543?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3968\/(-40))\/(2\/(-5))?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1000222211012 (base 3) to base 4\nAnswer: -2012201102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -5*m + 36, -l - 14*m = -10*m - 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 11 = 1. Let b be (-63)\/28 - n*1. What is the closest to 1\/2 in -2, 0.2, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i + 126. Let t(b) = -b - 124. What is -5*a(r) - 6*t(r)?\nAnswer: r + 114","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 214984969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, k: 1, a: 1, w: 2}. Give prob of picking 1 a and 1 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1608, -26, -8, 52 in decreasing order.\nAnswer: 52, -8, -26, -1608","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1121649981?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 3*l - 75. Suppose 0 = -4*d + l + 7. Let n(v) = -v**3 + 21*v**2 + 21*v + 54. Let j be n(22). What is the greatest common divisor of j and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, e: 4, g: 3, j: 6}. Give prob of sequence jngg.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.267 take away -438177950.692?\nAnswer: 438177950.425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 w, and 1 t when three letters picked without replacement from {z: 1, m: 3, e: 1, w: 5, b: 6, t: 3}.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -54113561175\/596 - -363156835\/4. Let n = -5357 - m. Which is greater: n or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*r**2 - r**2 - 130 + 12*r**2 to the form o*r + x*r**2 + k and give k.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 + -9 + 6*16. Suppose 18 = 5*d - s. Let p be 26 - d - (-1)\/1. Solve -p*g + 8 = -4*z, g - 1 - 1 = z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12130 - 0?\nAnswer: -12130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 5*p**2 + 8. Suppose 88*v + f + 9 = 90*v, 0 = 4*f + 4. Determine x(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15032*u - 7515*u - 7522*u - 10.\nAnswer: -5*u - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -41, -45, -47, -47, -45, -41?\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 2*u = 0, -3*y + 2*u + 38 = 40. Solve -7 + 12 = -y*t + g, 2*t = -4*g + 10 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.11389 and -0.012.\nAnswer: 0.10189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 9*b - 10. Let y be -5 - (-8)\/4 - (1 + -16). Determine f(y).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000800617 rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 11:13 PM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 642 and 214.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*x - 89*x - 89*x + 269*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-t - 1 + 1)*(2 - 3 + 2) + t + 3*t - 2*t + 0 + 0 + t)*(5 + 1 - 5).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n - n - 2*n)*(1 + 0 + 1 + (1 + 6 - 5)*(1 + 4 - 2) + 0 + 1 + 0)*(-4*n**2 + 3*n**2 + 3*n**2).\nAnswer: 36*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + 4. Let h be 13*1*15\/3. Suppose -3*m = -3*a - 204, -m - a = -h + 5. What is the greatest common divisor of q and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -60 - -55. Put u, 0.6, -0.2 in increasing order.\nAnswer: u, -0.2, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -4*s - 62, -s = 5*o - 24 - 307. Is o a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 5*t + 4. Let c be a(4). Let g be (-6)\/(-12) - ((-3834)\/20 - -1). Let z = g - 192. Which is smaller: z or c?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 12302650.\nAnswer: -1\/12302650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3576\/4470)\/(-1 - (-11)\/10). Let v = -300 + 2104\/7. Which is the nearest to h? (a) 5 (b) 4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 44, 74, 70, 14, -112, -326, -646?\n\"Answer: -3*n**3 + n**2 + 48*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 46\/9 of a day?\nAnswer: 7360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4183?\nAnswer: 47, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15*w**3 - 2 - w**2 + 32*w**3 - 12*w**3)*(8 - 24 - 6) in the form r*w**2 + t + j*w + q*w**3 and give q.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1.40801 centimeters?\nAnswer: 14.0801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6671890 + -1?\nAnswer: -6671891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3374017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70, -128, -184, -238, -290, -340?\nAnswer: -388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from svgjsvsjvv. Give prob of sequence vvj.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + d + 2*d - 5*d)*(0 + 2 + 0)*(0*d + 4*d - 2*d) to g*d + m*d**2 + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-297)\/(-36)*(-20)\/(-45)*3.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 71999*r - 1. Suppose -3*j - 6 = 0, -5*y + 5*j - 4*j = 3. Let b be u(y). Round b to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/5, 1\/3, -6, -13 in increasing order.\nAnswer: -13, -6, -8\/5, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-304)\/(-133))\/((-1)\/((-28)\/8))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 388351\/50346 - -24\/2797. Find the common denominator of m and 115\/162.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of l**5\/60 - 6*l**2. Let x(o) be the second derivative of -o**3\/3 + 2*o. Give y(x(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -2. Suppose -4*z = 83 - 291. Let j be 2\/1 - (-46 + z). Sort 5, b, j.\nAnswer: j, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**4 - y**3 - y**2 + 1. Let a(q) = -10*q**4 - 20*q**3 - 26*q**2 - 11*q + 5. Let i(o) = -2*a(o) + 14*t(o). Let i(u) = 0. Calculate u.\nAnswer: -2, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 424*h - 8585. Calculate t(20).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z**2 - 5*z + 2. Let w(n) = -4 + 4*n**2 + 2 + 5 - n - 5*n. Suppose u = 4, 0 = o - 3*u + 1 + 6. Give o*m(t) - 4*w(t).\nAnswer: -t**2 - t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.31 times 13.7?\nAnswer: 4.247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2100 divided by -1?\nAnswer: -2100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220222201 - 1220202?\nAnswer: -222220110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + 2 + 2 + 2. Suppose 3*x - l = 50. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1140 is divided by 384.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 2 + (-6 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1577 (base 8) to base 2\nAnswer: -1101111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34.1 + 30.1. Which is the nearest to 1\/4? (a) g (b) -2\/9 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/3)*z\/(z*z*z**4))\/(z*z**(-7)*z\/(z\/(z*z*z\/(z*z\/(z\/(z**(3\/8)*z)))*z))) assuming z is positive.\nAnswer: z**(-31\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -15a?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of 0 - 4*v**2 + 0*v**6 + 0*v**5 + 0*v**7 + 1\/4*v**4 + 0*v + 0*v**3 + 5\/168*v**8. What is the second derivative of p(w) wrt w?\nAnswer: 200*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11 + 1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -4393 - 1721. Let h = p - 1310. Is (-6)\/(-4)*h\/12 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from grgogooonyo?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 10:35 AM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -686 - -685.901. What is g rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/sqrt(3)*4)**2 + -3 + 5 - (2*sqrt(5)*2*5 + -2).\nAnswer: -20*sqrt(5) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 8864310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 b when four letters picked without replacement from {b: 3, q: 7}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 6}. What is prob of sequence ssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19825 and 950625.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 15731, 15681, 15583, 15437, 15243, 15001?\n\"Answer: -24*f**2 + 22*f + 15733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.2, 1, -10, 23, 22?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2746?\nAnswer: 2, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -77 - -45?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-9 + (-7 + 8 - 9)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6299?\nAnswer: 6299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -2 (c) -4 (d) 0.04 (e) 0.5 (f) 479 (g) 1\/5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2497?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21 + 53 - 130) + 17 - (7 - (3 - 4)).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 2)\/(1 + -3). Let o(d) = -d - 1. Let i be o(x). Let j = -0.05 - -0.45. What is the closest to 0 in i, -2\/11, j?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42530929*o = 42530980*o + 3111 for o.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 551 - 309. Let a be (2 + 0)\/(22\/f). What is the remainder when ((-1)\/((-5)\/a))\/(13\/65) is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence phh when three letters picked without replacement from {v: 7, h: 5, p: 4}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 251503 (base 9) to base 11\nAnswer: a4259","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000011549396 to seven dps.\nAnswer: -0.0000115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(308)\/(sqrt(7) + 1*sqrt(7)) + sqrt(44)))**2.\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37978 and 7106.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b + 5*n - 22, -2*b - 256*n + 16 = -254*n for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10421238 to the power of 1\/3, to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 120 + -47. Let s = a + -70. Let c = s + -2.99999608. What is c rounded to 7 dps?\nAnswer: 0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 17\/2 of a meter?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-3)\/a)\/(a\/(a*a*a\/(a\/a**4))))**41 assuming a is positive.\nAnswer: a**41","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x - 8 + 17 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 2:23 PM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -27 (b) -1267 (c) -3\/7 (d) -1 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3331 a factor of 299000214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/18 - (-3)\/108.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - ((-2 - -2) + 5 - -7).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -40\/13 or 220\/7?\nAnswer: 220\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 20*w**2 + 59*w + 21. What is the lowest common multiple of 9 and d(-6)?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1 + sqrt(272)) + 1 + sqrt(272)*1)**2.\nAnswer: -192*sqrt(17) + 4388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -86123 plus -1180?\nAnswer: -87303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/5)\/(33\/(-110)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*a - 43*a - 21*a**3 - 19*a.\nAnswer: -21*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 9, y: 10}. What is prob of picking 3 j and 1 y?\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + (-57)\/(-24) - 9312126120\/(-5184) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 1. Suppose 0 = x - u. What is the derivative of -4*h**2 + 3*h**2 - 25 + 17 + 6*h**x wrt h?\nAnswer: 10*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2349395ml in litres?\nAnswer: 0.0002349395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 5588 and -3.22674.\nAnswer: 5584.77326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 68178622520.1 less than -0.3?\nAnswer: -68178622520.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98) + -1)*3 - sqrt(98)) + 6*(sqrt(98) + 2) + (((sqrt(280)\/sqrt(5))\/sqrt(7))\/(sqrt(48)\/sqrt(192)))**2.\nAnswer: 41 + 56*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 2*x + 394 = 3*q, -5*x = q - 120. Suppose -4*b = -9*b + q. Is b a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of w**3*x**2 + 8*w**3*x + 215*w**3 + 2*w**2*x - 6*w*x + 2*x**2 + 6*x wrt w?\nAnswer: 6*x**2 + 48*x + 1290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-88)\/(-24) - 269394\/(-18)?\nAnswer: 2, 3, 5, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 9324 (b) -19 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = n - 4*h - 7, -5*n - 3*h + 3 = 0. Suppose n*w = 2*m - 24032, -60055 = m - 6*m - 5*w. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -31*b**3 + 2*b**2 - 1. Let k be (-56)\/(-7) + -4 - 40\/8. Determine r(k).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 2)*(-2*l - 2*l + 5*l) - 118*l + 48*l + 193*l.\nAnswer: 120*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8.65 in -3\/2, -1\/5, -3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - t = 22, -4*i - 35*t - 54 = 21*t - 30*t for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 - -24. Suppose d = 4*y - 7. What is the common denominator of 17\/14 and (y - (-121)\/(-40))*106?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(0 - 2\/(-3)). Let j = -0.5 + 0.7. What is the closest to 2\/9 in o, j, 0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 10.4. Put h, -0.2, 0.1 in decreasing order.\nAnswer: 0.1, -0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 130*l + 5 + 0 + 2 - 8*l + 3 to the form o*l + j and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -466 - -791. List the prime factors of w\/20 + (-2)\/8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -1000111111100101100110?\nAnswer: -1000111111100101100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**2 - 4*l**3 + 18*l + 19*l + 14*l + 11*l - 70*l to the form t*l + w*l**2 + s + n*l**3 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -106 - -100. Let q be (v\/39 + 22\/(-26))*-2. Suppose 3*x + 114 + 202 = 4*m, 0 = 4*m + q*x - 296. What are the prime factors of m?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**2\/5 - 73*k + 750 = 0.\nAnswer: -375, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1746a1 - 5?\nAnswer: 174699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14329*n + 134634 = -11967*n for n.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 879897 to the power of 1\/3, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1105 + -1103. Solve 5*n - 13 = -y*i + 10, -2*i = -4*n + 22 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2707 - -8471. Is 68 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**3 - 9*r + 3*r**3 + 18*r + 6*r.\nAnswer: 4*r**3 + 15*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 + g**2 - 4. Calculate q(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, 5, 14\/9, -34\/1927, 0 in descending order.\nAnswer: 5, 14\/9, 4\/3, 0, -34\/1927","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18506 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -6*p**3 + p**2 + p + 1. Suppose 19 = b - 5*r, -3*b + b + 5*r = -18. What is the remainder when 13 is divided by g(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*j - 0*j. Suppose 2*m - 2 - 1 = i, 5*m - i = 3. Suppose 4 - 16 = -4*t. Solve t*g - j + 4 = m for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (5*sqrt(252) + sqrt(252))*-3 + sqrt(252) + (sqrt(252) - (1 + 4 + sqrt(252) + sqrt(252))))*-3.\nAnswer: 324*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 53 and 53 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1852 or 1861?\nAnswer: 1852","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -196, -212, -238, -280, -344, -436, -562, -728?\nAnswer: -940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-21)\/2 - (-276)\/(-672)*7*-12.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4 - 1696*z**3 + 732400*z**2 - 11155200*z - 56448000.\nAnswer: (z - 840)**2*(z - 20)*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-9)\/(-4))\/(42\/24))\/((-87)\/35525*-7).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5719.69 rounded to the nearest one hundred?\nAnswer: -5700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 21099960 divided by -54\nAnswer: -390740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3366096 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-148)\/8 + 3\/(-6). Let i be -25 - b - (-1 + -2). Is -28\/9 greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 5*m = -11*d + 12660, -4*m = 5*d - 12687. Let n = d - 124. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 30?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -358 = b + 470. Calculate the common denominator of b\/112 + 1\/7 and -103\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 5571.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1128 is divided by 547?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/8*1440\/7800?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) + -1*(-5*sqrt(143) + sqrt(143)) + sqrt(143))\/(-3*sqrt(55)\/sqrt(5)))**2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of q**6 + 124354*q**3*r + 38*q**2*r + 2*q*r - 83402 wrt q?\nAnswer: 120*q**3 + 746124*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 2 + 4 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -876712722 + -0.213.\nAnswer: -876712722.213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2. Suppose 20 - 2 = 2*i. Let x = i - 6. Suppose 0 = -2*k + 6 - 0, 2*k - 4 = -2*f. Let y(d) = -2*d**2. What is f*y(s) + x*z(s)?\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 821510877*h**2 - 1047634*h + 40.\nAnswer: 1643021754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -42 - a950?\nAnswer: -a992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 31\/2349?\nAnswer: 31\/2349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2840 and 54499000?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 73 = 127. Suppose 0*q = -3*q + 111. Calculate the remainder when q is divided by l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 255417829 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 517878 and 162?\nAnswer: 4660902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 976\/28 - (-176)\/154. Calculate the highest common factor of b and 882.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 60*u**2 + 8. Let y be p(60). Solve -y = 3*a - 4*w - 9, a - 3*w = 7 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -237846 or -237961?\nAnswer: -237846","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q - 4*q + 4*q - 86*q + 72*q + 37*q + (-5*q + 3*q + 4*q)*(0 + 2 + 0) in the form b*q + k and give b.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -85650203, -171300405, -256950607, -342600809, -428251011, -513901213?\n\"Answer: -85650202*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/7)\/(t\/(t\/(t\/t**(5\/4)))*t*t))**(-3\/37))**(-18\/7) assuming t is positive.\nAnswer: t**(-1107\/3626)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 546269 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 2)*(-9 + 29 + 104*m**2 - 103*m**2) to p*m**2 + v*m + l and give l.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.39 minus -35808.15?\nAnswer: 35799.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1669409*z**6 - 2*z**2 - 626*z + 311.\nAnswer: 200329080*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -21633.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 0. Suppose u + 4*u = -135. Let w = 21 + u. Put v, w, 2 in decreasing order.\nAnswer: 2, v, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 11, a: 2}. Give prob of picking 4 l.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l + 5 + l - 917*l**2 - 4*l - 3*l.\nAnswer: -917*l**2 - 4*l + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 863 = 12*w + 34*w - 564 for w.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9938461 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + z + 6. Let q be x(0). Solve -2*b - t - 19 = -q*t, b - t + 2 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*g**5 + 1936*g**4 - 2834*g**3 + 106*g**2 + 706*g + 118 = 0 for g.\nAnswer: -1\/4, 1, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 104*d - 9146. Give q(88).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -3.1. Let x = -6 - -5.99. Let w = 0.41 + x. What is the third biggest value in -3\/7, h, w?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 - -5 - (162 - ((47 - -12) + -10)).\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -9*r**2 - 89. Let f be u(0). Solve f = -0*c - 2*c + 3*x - 5, 0 = -5*c + 2*x + 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-106)\/159*(10\/1 - 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 9 = -n. Let g = 86 + -2. Suppose -n*u = u - g. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (200\/5)\/(-4)*(-9)\/9\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 92 = 100. What is the closest to -0.2 in d, 0.5, 7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/10 + (4470\/(-25))\/(-1). Suppose -4*w + 1279 - g = 0. What is the greatest common factor of 25 and w?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of 0 + 13*i**2 + 1\/12*i**4 + 1\/3*i**3 + 0*i - 1\/60*i**6 - 1\/30*i**5. Factor u(g).\nAnswer: -2*(g - 1)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10045 - 6456. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64213?\nAnswer: 157, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -66 - -66.127. Let q = t + -0.296. What is q rounded to 2 dps?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 60 (b) 0.5 (c) 4.4 (d) -4 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 177 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 370632.402 seconds to weeks.\nAnswer: 0.612818125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 56 = -f - 4*t, 2*f - t = 16. Suppose f*v = 13*v. Suppose v = -0*h + 3*h - 5*s - 2979, 0 = -4*s. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a kilogram in grams?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**5 - k. Let i(w) = -12*w**6 - w**5 - 2*w**2 + 42*w. Let p(v) = -5*a(v) + i(v). What is the third derivative of p(j) wrt j?\nAnswer: -1440*j**3 + 240*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 297 - 87 = 0. What is the greatest common factor of x and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -h**4\/12 + 49*h**3\/9 + 351. Factor s(p).\nAnswer: -p**2*(p - 49)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115973 = -1222*w + 2142 - 27921 for w.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 57*a**2 - 194*a. Let p(n) = 14*n**2 - 49*n. What is -9*p(k) + 2*z(k)?\nAnswer: -12*k**2 + 53*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -925*v**4\/7 - 8322*v**3\/7 - 12923*v**2\/7 + 6*v = 0.\nAnswer: -7, -2, 0, 3\/925","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 4*f = 3*f + 58864, 88295 = 3*s + f. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -377 = -9*u + 145. Let t = -51 + u. Calculate the highest common factor of 63 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3184, -3179, -3164, -3133, -3080?\n\"Answer: x**3 - x**2 + x - 3185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 5*o**2. Let t(i) be the second derivative of i**3\/2 + 9*i. Calculate r(t(m)).\nAnswer: 45*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2696261 to the nearest integer?\nAnswer: 1642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 0*y - 2 = 0. Let w(c) = 4*c - 65. Suppose 4*j = u + 66, 4*u + u - 95 = -5*j. Let z be w(j). Solve z - y = -t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 302770 and 368.\nAnswer: 55709680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 12*u**2 + 12. Let s be 13 - ((-5)\/(-25))\/(2\/10). Let q be k(s). What is the highest common divisor of 84 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 h when three letters picked without replacement from hhhhhhhhfhhhhhh?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -21*s - 47. Let q be d(-2). Put -1, 25, q in increasing order.\nAnswer: q, -1, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -27966, -55931, -83916, -111927, -139970, -168051, -196176?\n\"Answer: -x**3 - 4*x**2 - 27946*x - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pjpp when four letters picked without replacement from {p: 6, j: 13}.\nAnswer: 65\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**2\/5 + 5306*h\/5 - 2124 = 0.\nAnswer: -2655, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -189\/4 + 48. Let h = 0.3 + 0. Sort z, h, 0.2.\nAnswer: 0.2, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(3\/7)\/b)\/(((b*b\/(b*b**3))\/b)\/b))\/((b**(-1\/15)\/b)\/b**(8\/3)) assuming b is positive.\nAnswer: b**(752\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 + 9*x - 28*x)*(0 - 3 - 1).\nAnswer: 76*x - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24152 + 35778. Let h = y - 21126. What is h rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**4 + 4*m**3 + 4*m**4 - 6*m**2 - 3*m**4 + 2*m**2.\nAnswer: m**2*(m + 2)*(3*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2649*p = -2641*p - 1520. Does 20 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18111 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - g + 3*g**3 - 2*g**3 + 6*g**2 - 1. Suppose 24*k = 5*r + 26*k - 89, 2*r = -k + 35. Calculate the remainder when r is divided by x(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 2\/19, -5, 3.\nAnswer: -6, -5, 2\/19, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 49, 60, 11, -128, -387, -796?\n\"Answer: -5*s**3 + 46*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 609 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 3. Let q = -3.4 + d. Let v = -43\/14 + 7\/2. What is the biggest value in 1\/7, v, q?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 4. Suppose -a*o = 3*y + 25, 5*y + 15 = 5*o - 3*o. Let u(m) = -m**3 - 6*m**2 - 5*m + 6. List the prime factors of u(y).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 820 times -0.007?\nAnswer: -5.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2652 is divided by 770.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*f**4)*(-4*f + 11*f + 4*f) + 5*f**5 - 2*f**5 - f**5 + 2*f**5 + 5*f**3 - 6*f**3 - 3*f**5.\nAnswer: 23*f**5 - f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b76081 + -8?\nAnswer: 1b76075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -272966.1 to the nearest 1000.\nAnswer: -273000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o = -2*u + 7*o + 39, -4*u = 4*o - 68. Suppose 198*w = 201*w - u. Solve -5*b + w*n - 29 = 0, -3*b - 3*n - 15 = -3 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6, s: 4, j: 1}. What is prob of sequence osj?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/43821 or -375?\nAnswer: -375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3*l - 7, -2 = 5*z - 2*l + 7. Let s be 13 + (0\/z - 3). Solve 3*t = s + 2 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 104811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -1.198\nAnswer: -5.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 25. Calculate the smallest common multiple of 50 and w.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/(-220))\/(1\/(-10)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/90)\/((-7)\/35)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 11*9*(-184)\/1518\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.46, -2\/9 in ascending order.\nAnswer: -5, -2\/9, 0.46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 404021210?\nAnswer: -404021210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -19*s + 206. Give n(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**3 + 0*z**3 + 3*z**3 + z**3 - 2*z**3 + 2*z**3 + (3 + 0 - 5)*(-4*z**3 + 5*z**3 + 0*z**3))*(-z - 1 + 1).\nAnswer: -z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**4\/19 + 609578*s**3\/19 + 46449081618*s**2\/19 + 139342977838*s\/19 + 92894505796\/19 = 0. What is s?\nAnswer: -152393, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -40*(2\/5)\/(((-162)\/9)\/18)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (((-12)\/63)\/1)\/(-11 + 3925\/350)\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*w + 74*w + 273*w - 67*w.\nAnswer: 318*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 16) to base 2\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 7) to base 5.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -168, 5?\nAnswer: -168","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4998 divided by 5\nAnswer: 4998\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 16.6. Let v = 1.7 + m. Let w = -24.98 - -25. Which is the closest to w? (a) 3 (b) -4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z + 537 - 166 + 6*z - 9*z - z to j*z + x and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.114 and -52990609.\nAnswer: -52990611.114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 m when two letters picked without replacement from mhwwjhmmjjdddddmd?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -750*i - 17278*i - 17823*i.\nAnswer: -35851*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a + a - 10*a - 10*a in the form i + u*a and give u.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -3\/4 (b) -0.13 (c) -1.19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 11:18 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3 - 3312*k**2 - 53760*k - 216064.\nAnswer: 4*(k - 844)*(k + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ozdao. Give prob of sequence zoo.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5795*d - 208355 - 52420 = 0 for d.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(4\/7)*o*o*o\/o**(-7))**9 assuming o is positive.\nAnswer: o**(666\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7637713 and 89?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 minus -838.5476975295?\nAnswer: 853.5476975295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 48149065 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1*4\/24)\/(-1 - 2). Let u(t) be the second derivative of -1\/90*t**6 + w*t**4 + 0 - 1\/6*t**2 + 0*t**3 - 3*t + 0*t**5. Let u(d) = 0. What is d?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 647201*q**4 - 23432*q - 6 wrt q.\nAnswer: 7766412*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -225*c**2. Let h(x) = -8*x**2. Give h(o(t)).\nAnswer: -405000*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9391*j - 2515 = 9265 + 23946 + 1838 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2493.2 * -0.15\nAnswer: -373.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 e when four letters picked without replacement from {h: 1, u: 1, k: 3, r: 1, n: 2, e: 5}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (32\/20)\/(4\/(-10)). Let p(b) = 8*b**2 + 1. Let r be p(1). Let l = j + r. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 4*q - 8*q + 41, m + 25 = 2*q. Suppose 2*d + 8*r - q = 4*r, 5*r + 43 = 3*d. Calculate the remainder when 129 is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**5\/3 + 18*q**4 - 94*q**3\/3 - 50*q**2 = 0.\nAnswer: -1, 0, 3, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/11 in -23469, 3, -0.5, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 2077568552*j - 6 - 2077568550*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -p + 13. Suppose -g + 3*t + 42 = 0, -p*g + 152 = g + 4*t. Is 4 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -37\/7. Let g = 23\/51 - 2\/17. Let l = 1\/108 + 67\/540. Which is the nearest to -1? (a) l (b) h (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 330\/33*(-135)\/(-120)*-4*(-3)\/(-1)\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.713618 rounded to two decimal places?\nAnswer: 0.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 394*h + 54 = -390*h, 0 = -239*a + h + 4*h + 423 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 188378, 188602, 188974, 189494, 190162?\nAnswer: 190978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**3 + 21*d**2 + 3*d**3 + 5*d**3 - 23*d**2 + 25*d.\nAnswer: 5*d**3 - 2*d**2 + 25*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 11, o: 9}. What is prob of sequence xoxo?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 170.8 and 136.78.\nAnswer: 307.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d - 6. Let i(n) = -3*n + 5. What is 6*i(y) + 5*q(y)?\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 936\/1456*((-21)\/(-18) - 0).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 12 - 12 = 0. Let m(x) = 5*x - 12. Let g(q) be the first derivative of 3*q**2\/2 - 6*q + 1. Let l(r) = -7*g(r) + 4*m(r). Give l(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 1)*(-1 + 1 - 6)*(10*a - 18 + 18).\nAnswer: 60*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296 is divided by 80?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72608.\nAnswer: 2, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 4*x**3 + 68556*x**2 + 3008352*x - 6290960 = 0.\nAnswer: -17095, -46, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-8)*j)\/j)**5 assuming j is positive.\nAnswer: j**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 463346 + -5096798\/11. Factor -2\/11*h**2 - 16\/11*h - 2\/11*h**5 - o + 10\/11*h**3 + 2\/11*h**4.\nAnswer: -2*(h - 2)**2*(h + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 + 18.04. Is -2\/7 bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 2*r**2 + 1. Let p be 6\/(-18) - (-26)\/6. Calculate the lowest common multiple of x(-3) and ((-36)\/16 - (1 - p))*48.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 - 5. Let l be 7\/((-56)\/88)*-1. Which is greater: d or l?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (38 + 4)*((-2)\/(-1))\/4. Calculate the highest common factor of 105 and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 - -23. Let z = 16 + d. What is the least common multiple of -1 - (-4 + 0\/(-3)) and z?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (26 - 4 - (5 + 0)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -1423 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0379439 centuries in decades?\nAnswer: 0.379439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 9. Calculate o(-8).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 9*m - 3066. Let b(l) = 221*l - 2*l**2 + m*l - 440*l. Let c(y) be the first derivative of -2*y**3\/3 - 1. Calculate c(b(h)).\nAnswer: -8*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2900181, 2900212, 2900243, 2900274, 2900305, 2900336?\n\"Answer: 31*t + 2900150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111001011 + 100000111001000?\nAnswer: 100100110010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 30 = 86. Let d be 1*607*(-98)\/q - 1. Let m be (d\/3)\/((44\/(-14880))\/(-11)). What is m rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*t + 6*t + 5*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r = -5*y + 3*r - 1, y + 2596*r - 1297*r - 51 = 1306*r for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 3 + -3 + -1*sqrt(5808) + 1)**2.\nAnswer: -88*sqrt(3) + 5809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from ndnunzlqzznl?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1090 - -977. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1746021914 to the nearest integer?\nAnswer: 1204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (9 + 3)*(-5)\/(-2). Let y be (18\/(-15))\/(1\/(-5)). Calculate the highest common divisor of y and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*q**2 + 14*q**2 - q**2 + (-4*q + 2*q + 3*q)*(5*q + 0*q - 4*q))*(-4*q + 4*q - 2*q**2) to the form h*q**2 + g + t*q**3 + l*q**4 + v*q and give l.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -1183a06?\nAnswer: 1183a0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (36\/(-24))\/(2\/36). Let w = 30 + l. Solve -2*z + 10 = 0, 4*p - w*z + 10 + 9 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2341*q - 105*q - 226*q + 887*q + 644*q.\nAnswer: 3541*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: dd (base 14) to base 10\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17984 is divided by 17972.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 618835733?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-2\/11)*x)**(-34)\/(x**5*x**(-1\/7)) assuming x is positive.\nAnswer: x**(-6086\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -337503594 less than 0.06?\nAnswer: 337503594.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.355170839 and 0.38.\nAnswer: 0.024829161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -7834 and -7826 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-13) - ((-2392)\/(-676) + -31).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 bigger than -144546692?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 4*s**2 + 6*s + 5. Let n be x(-5). Let q = 855 - 851. Which is the nearest to 0.1? (a) -1\/6 (b) q (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -761 + 6851\/9. Let y = 4108\/9 - 456. Factor 2\/9*j**3 - d*j**2 - y*j + 0.\nAnswer: 2*j*(j - 2)*(j + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12196 - 5701. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 971*n + n**2 - 969*n - 6*n**2. Let x(j) = 6*j + 1 - 2 - 22*j**2 + 8*j**2. Let d(g) = -8*w(g) + 3*x(g). What is d(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 26\/5 of a second?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -15. Let h = 0.094 - -4.206. Let u = h - i. Put -3, u, 0.2 in descending order.\nAnswer: u, 0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-3))\/(-6 + 5 + 0)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4823799581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 237\/395 - (-42)\/5. Let t be 16\/4 - (-1 + 0). Suppose t*q - 2*o = 20, -4*o - 25 + 9 = 2*q. Solve -m = q*m - d for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2. Let r(t) = 1 - 5 + 2 - 2*t - 1. Let a(q) = q + 1. Let m(y) = 6*a(y) + 2*r(y). What is m(b(z))?\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-six fifths of a week?\nAnswer: 52416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 3*i - 26, 6*i = 6*v + 7*i - 26. Solve 3*j - 2*s = 7, -4*j + 2 = -v*s - 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r*((r**(-7)*r)\/r)\/r))**(-7\/6) assuming r is positive.\nAnswer: r**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*y - y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2d - 88c3?\nAnswer: -8912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -8. Let l(u) = u**2 - 4*u**3 + u**m + 0*u**3 - u**2. Let t be l(1). Sort 4, t, 1.\nAnswer: t, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 0*l - 16, -s + l + 4 = 0. Suppose -96 = -s*n - 3*n. Suppose 2*m = -4*g + 42, m + 1 = -3*g + n. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1412191 rounded to 4 decimal places?\nAnswer: -0.1412","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6341 - 14261?\nAnswer: -23632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 30, 132, 1.5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -37, -45, -67, -109, -177, -277?\n\"Answer: -x**3 - x**2 + 2*x - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (1226\/(-6))\/((-16)\/48) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-872)\/(-32) + (-2)\/8. Suppose -q = 2*o - 5*o. What is the remainder when 255\/10*12\/o is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 2)*(2*v**5 + 0 + 0) - 60*v**5 - 22*v**5 + 7*v**5.\nAnswer: -79*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (8 - 5 - 7) - -7.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 - 2*i**2 + 0*i**2)*(-45*i + 267*i - 129*i)*(-8 - 11 + 2).\nAnswer: 3162*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (8 - 9)\/(1\/(-449)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 to the power of 1\/3, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -293 - -322. Suppose -2*j = 3*f - 42, -f - f + k = j. Suppose 0*x = -5*x + 45. Calculate the remainder when f is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.038 - -0.162. What is the closest to -0.08 in -4, 5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -173, -169, -165?\n\"Answer: 4*t - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m = -3*m + 110. Suppose 3*x + 13 = -68. Let n = m - x. What is the remainder when 8 is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10819694 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - 24365\/(-1430) - 12*(-9)\/(-27).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of -f**6\/20 + 3*f**4\/4 - f**2. Find the second derivative of u(t) wrt t.\nAnswer: -36*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 260?\nAnswer: -265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -6*b**2 + 1. Let g be r(-3). Let c = -7 - g. Does 21 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 68 = -r + 4*q, 4*r = -3*q + 283. What is the remainder when 4\/(-6) + r\/6 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1135 is divided by 364?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -5*m**2 + 6*m. Let v(f) = 9*f**2 - 11*f. What is -11*p(c) - 6*v(c)?\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 69376170 to the nearest integer?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/293, 64.2, 0, -3?\nAnswer: 64.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-77 + 608 - 214)*(k**2 - k**2 + 2*k**2).\nAnswer: 634*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-6) - (-76)\/6. Let k = b + -11. Let c be (2\/1)\/((-2)\/(-5)). Solve 2*j - 3 = g - k, 0 = -j - c*g - 5 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19.5 + 746675830.\nAnswer: 746675849.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -17*a - 1. Let g(x) = -51*x - 2. Calculate -3*g(c) + 8*w(c).\nAnswer: 17*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4347 - 3318 = 3*z, -4*k = -2*z - 5110. Let v = z + 6148. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(130)\/((2*sqrt(110) + sqrt(110) + sqrt(110))\/sqrt(11)).\nAnswer: sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 572877116.\nAnswer: 2, 7, 293, 69829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309732 is divided by 309696.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 7. Let i(r) be the second derivative of r**5\/10 - r**4\/12 + r**2 - 33*r. Let w(d) = -2*d**3 + 2*d**2 - 3. Determine b*i(h) - 2*w(h).\nAnswer: -2*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 11:52 AM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -18*x**3\/11 + 130170*x**2\/11 - 86774*x\/11 + 14462\/11 = 0.\nAnswer: 1\/3, 7231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6580 - 2104 = -365*x - 2094 for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a year in months?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -59 - -58. Let s be (2 - y - -3) + (1 - 3). Sort 0, 7, s in ascending order.\nAnswer: 0, s, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of h**5\/12 + h**3\/3 + 128*h**2 - 2. Let o(v) = -19*v. What is o(c(b))?\nAnswer: -95*b**2 - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(1573))**2*3 - (1*sqrt(1573)*-1)**2)*4.\nAnswer: 1056*sqrt(13) + 12776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215 - 333 = 548*s. Is s at least as big as -87\/74?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 548199 * -2.\nAnswer: -1096398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*p + 25353 - 25353 + 1299*p as x + k*p and give k.\nAnswer: 1341","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 79 and 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 20\/2 - 154\/22. Solve -l*h - 389 = -374 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 727.3189 meters?\nAnswer: 72731.89","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 200 - -22?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2565276 and 464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 3, 1908, 11, -1.\nAnswer: -2, -1, 2, 3, 11, 1908","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 231*c + 237. Give i(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 88622 = y, 177260 = 36*g - 32*g - 4*y. List the prime factors of g.\nAnswer: 3, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165371440 a multiple of 190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 14*a**3 - 4*a**2 + 18*a + 23. Calculate o(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 1866 = 3*f - 9*c, 2*c = 8. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -t**2\/4 - 32147*t\/4 - 32143 = 0.\nAnswer: -32143, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20007 * 479.\nAnswer: -9583353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 6:41 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from {s: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.075 - 0.25.\nAnswer: -0.325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -474 - -475. What is the nearest to q in 7.9, 1, -1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -257, -1144, -2621, -4688, -7345, -10592, -14429?\nAnswer: -18856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 54306 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*m + 5*g = -132*m - 22188, -3*g = 3*m - 16587. Calculate the greatest common factor of m and 98.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 925049 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16750)\/(-15410)*(-12)\/(-150).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.1 at least as big as 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -77 - -151\/2. Is y at most as big as -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -457711*y**2 + 228818*y**2 + 228883*y**2.\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -o**8\/336 + o**5\/60 - 13*o**2. What is the third derivative of b(a) wrt a?\nAnswer: -60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*a**2 + 9*a**2 + 6*a**2 + 475 + 14*a**2 to q + m*a + k*a**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1986506?\nAnswer: 2, 993253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 881 a factor of 1006983?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26943*q**4 - 32*q + 1767926.\nAnswer: 107772*q**3 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*h + 21*h. Suppose p - 2*n = h, 0 = p - 3*n - 2 - 1. What is the tens digit of 200\/6 - (-2)\/p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**5\/9 - 74*l**4\/9 + 262*l**3\/3 - 1934*l**2\/9 + 1796*l\/9 - 64 = 0. Calculate l.\nAnswer: 1, 16, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 5\/7, 5, 9.2.\nAnswer: 0.3, 5\/7, 5, 9.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**2 - 2*l + 2. Let d be p(-2). Let j be (15\/d)\/(1\/(-2)). Let o = -8 + j. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113362 is divided by 141.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.63, 5\/7, 0.2 in increasing order.\nAnswer: -0.63, 0.2, 5\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 553069 to the power of 1\/2, to the nearest integer?\nAnswer: 744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8 - 6) + 0 + -49. Let n = h + 51. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111333201301 (base 4) in base 12?\nAnswer: -1b20441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/6 - (-22)\/20. Put -0.3, -2\/21, h, -0.1 in decreasing order.\nAnswer: h, -2\/21, -0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -320*w - 728. Let v be c(-7). What is the greatest common factor of v and 216?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -1 (b) 0.36 (c) -4 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 8) to base 12\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48222710 and 204?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of y**7\/120 - y**5\/60 + y**4\/24 + 14*y**3 + 19. Let x(c) be the third derivative of t(c). Calculate x(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38201050843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 h when two letters picked without replacement from {r: 3, q: 1, w: 1, l: 1, h: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -43 or -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 5*f**2 + 52*f - 664. Let y(k) = 2. Let x(d) = d**2 - 4. Let l(g) = x(g) + 3*y(g). Let n(z) = -6*l(z) + q(z). Determine t, given that n(t) = 0.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-5 + -3 + (sqrt(3) - (5*sqrt(3) + sqrt(3)))*-2 + 0)**2.\nAnswer: -160*sqrt(3) + 367","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t + 42. Let w(i) = 22*i**2. Determine w(c(b)).\nAnswer: 88*b**2 + 3696*b + 38808","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 11*k - 4. Let p(n) = -21*n + 7. Determine 11*d(b) + 6*p(b).\nAnswer: -5*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 431556784 to the nearest integer?\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14\/(-8) - (-2)\/(-8). Let k(x) = -x**2 + 5*x + 7. Let l be k(6). Put l, q, -4 in increasing order.\nAnswer: -4, q, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 10, -1.3, 12, 8 in ascending order.\nAnswer: -21, -1.3, 8, 10, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tixutixuuxuuuj. What is prob of sequence uu?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence go when two letters picked without replacement from ogoggogoogoooggo?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 5*m**3 - 9*m**2. Let i(b) = 2*b**3 - 4*b**2. Determine -7*i(a) + 3*t(a).\nAnswer: a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 80 - 58. Sort u, 5, -5 in decreasing order.\nAnswer: u, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 t when two letters picked without replacement from {d: 1, t: 1, s: 2, j: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 516603 is divided by 81?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*w + 92*w - 311*w + 98*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -995 + 991. Let b be 8\/70 - 4\/(-14). What is the closest to b in -5\/6, 0.1, f?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2097245*v**3 - 1101209.\nAnswer: 6291735*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*c - 60 = 61 + 149 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 26.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + 16661.\nAnswer: 16661.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 4 = -2*r. Suppose 0 - 8 = -r*b. Find the first derivative of -3*s**4 - s**b + 2 + 3*s**4 wrt s.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -6*y + 6. What is the least common multiple of 112 and y?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4336, 8955, 13574?\nAnswer: 18193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -103.66 + -2.7999805.\nAnswer: -106.4599805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - 3. Let h = 2\/71 - 77\/213. Let i = -0.01 + -0.29. What is the nearest to h in i, f, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 16) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 408263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 775304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 + 0.1. Let n = 85 - 84. Which is the closest to 1\/2? (a) 0.5 (b) i (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*m**2 - 7*m**3 + 7*m**3 - 4*m**3)*(-6 + 0 + 2) as r*m**3 + d*m**2 + l*m + i and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/((-3)\/((-18)\/4)). Suppose 2*j + 8 = -w. Let d be j\/4*-1*10. Calculate the highest common divisor of d and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -284948, -284949, -284954, -284963?\n\"Answer: -2*w**2 + 5*w - 284951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 3:09 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -8 + 3 + 2*x + 3 - x. What is q(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -6269484.7398?\nAnswer: 6269481.7398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*z**5 - 4*z**5 - 19*z - 8*z**5 - 3*z**5 wrt z.\nAnswer: -260*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -94 (base 16) to base 5\nAnswer: -1043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 74949789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12494934, 24989867, 37484800, 49979733, 62474666?\nAnswer: 74969599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Divide -37749285 by -359517.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/143728 and -77\/72.\nAnswer: 1293552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - n**2 + n. Let y(m) = -2*m**3 - m**2 - 11*m - 5. Let f(l) = 3*b(l) + y(l). What is f(6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + 51\/(-6))\/(2\/(-4)). Is 19 less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-868)\/50)\/((-12)\/5). Let a = -41\/6 + h. Factor -2\/5*c**2 + 0*c + a.\nAnswer: -2*(c - 1)*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2205 is divided by 2204?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/30 - 22\/(-12). Let p be 1\/((-1)\/6*u). What is the smallest value in 0, p, 3\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8472.\nAnswer: 2, 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 43 = 5*q + 23, -4*f - 3*q + 11 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-24)\/(14 - 2) - 8\/(-1). Factor -m - 2\/3*o**2 - 4*o.\nAnswer: -2*(o + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -418 - -417. Sort n, 1, -5, -3 in increasing order.\nAnswer: -5, -3, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*g + 9*g + 3 - 31999*g**4 - 38*g**2 + 32009*g**4 in the form r*g**2 + p + y*g + a*g**3 + u*g**4 and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/293 + 13775\/586. Is 23 less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*i - 6. Suppose -4*j + i + 12 = -4*l, -5*l + 5 = -j. Solve -l*u + 4 = -6*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 44125, 44300, 44465, 44614, 44741, 44840, 44905, 44930?\n\"Answer: -u**3 + u**2 + 179*u + 43946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 21, 6, -11?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(520) + sqrt(520)*-3 - sqrt(520))\/sqrt(10))\/(sqrt(576)*-4))**2.\nAnswer: 13\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 23*j - 5. Let a(g) = g**2 - 24*g + 6. Calculate -6*a(i) - 7*f(i).\nAnswer: i**2 - 17*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7603.3 - 7603. Let p be 4\/10 - (-12)\/(-20). Let i = 0.2 + -0.1. Which is the closest to i? (a) -2\/11 (b) p (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -w**6\/40 + w**4\/24 - w**2\/2 - w. Let a(m) be the first derivative of t(m). Find the second derivative of a(y) wrt y.\nAnswer: -18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -44*a + 48*a - 1204. Let m = a + -284. Calculate the greatest common divisor of 153 and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -360*f**3*t**2 + 27*f**3*t - 17*f**3 - 30*f*t**2 + 60124 wrt t.\nAnswer: -720*f**3*t + 27*f**3 - 60*f*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 219*d + 14 = -214*d, 0 = -5*o - d - 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2156441 is divided by 1078220?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 437\/6 + -73. Let x = -2 + 0. Which is the closest to 0.1? (a) -3 (b) g (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 0.4 (c) 25 (d) 4\/15 (e) -0.5 (f) 0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 959*p**4 - p + 209.\nAnswer: 11508*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.08 and 361.\nAnswer: 361.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24 + 4320\/(-168))\/(8\/28).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 113*w**2 - 18. What are the prime factors of s(5)?\nAnswer: 7, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 251*t. Let u(s) = -252*s. Let q(o) = 7*r(o) + 6*u(o). Let d(j) = 2*j. Calculate q(d(v)).\nAnswer: 490*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 945*n**3 + 1245*n**2 wrt n?\nAnswer: 5670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 1372927*c**2. Let p(w) = -67*w**2. Give p(z(x)).\nAnswer: -126290212671043*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 470 + 443 = 3*y, 4*w + 2*y = -18. Solve m + 5*k - 245 = -238, 3*m - 4*k - 2 = w for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225*f - 43*f + 112 - 464 = 194 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.578 plus -0.080403324?\nAnswer: -4.658403324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 747 and 15.\nAnswer: 3735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 0 - 1)*(10 + -15).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4496 and 988558?\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*t - 24 = 15*t. Suppose -3*i = z - 4, -5*i + 4*z - 16 = -i. Suppose -32 = -2*j - 2. Solve 2*v + i*v - j = 3*w, w + 5 = -t*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8272247 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 205 = -5*l + 5*n, 4*l - 2*n = 51 - 217. List the prime factors of (l\/15)\/(-7) + 608\/5.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -632*v**4 - v**3 - 4*v**2 - 58*v + 1 wrt v.\nAnswer: -15168*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**0\/((q**(-2\/5)*q)\/q)*(q\/((q\/((q\/(q\/(q*q**(3\/8)\/q)))\/q)*q)\/q*q))\/(q*q**8) assuming q is positive.\nAnswer: q**(-409\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -3 + 4 - (-1 - -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(-1) + (-5 - -5). Let z be (-2)\/t + 54\/10. Let m be 3*(-1)\/(-3)*z. Solve 5*q = a - 1, -4*a - 6 = -5*q + m for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u + u - 3*u)*(-61*u - 55*u + 102*u) + 175*u - 10*u**2 - 175*u to v*u + z*u**2 + l and give z.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 4 = 8. Let w(y) = -f*y**2 - y + 4*y - 3*y. Let h(u) be the first derivative of u**2 - 1. Give h(w(z)).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 7*m - 3. Let a be w(6). Suppose a*g - t - 178 = 0, 5*t + 75 - 306 = -4*g. Does 18 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 6*q - 2 - 2*q**3 - 20*q**2 + 14*q**2. Let a(v) = -4*v**3 - 6*v**2 + 6*v - 3. Let g(n) = 2*a(n) - 3*m(n). Calculate g(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*n + 9*z - 5*z, 3*n - 2*z - 8 = 0. Put 1, n, 3 in descending order.\nAnswer: n, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -3 - 63. Sort 3, -3, n in increasing order.\nAnswer: n, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -327601, -327602, -327603, -327604, -327605?\n\"Answer: -p - 327600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 86 + -82 + -112 - -158?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 464.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 49d409 (base 15) in base 8?\nAnswer: 15375765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-24) - 22\/(-8). Suppose -5*d = 2*y + 68, 2*d - 5*d - 84 = l*y. Which is bigger: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19387?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j - 4*j - 6*j to y*j + r and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 84791998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40782.\nAnswer: 2, 3, 7, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9025, -9022, -9017, -9010, -9001, -8990?\n\"Answer: l**2 - 9026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 z, and 1 i when three letters picked without replacement from {y: 1, i: 1, z: 6, k: 5, u: 1}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + 6 - -4) + 2 + -6 + -5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6363, 9611, 12859, 16107?\nAnswer: 19355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 322142594*a**3 + 338448*a + 42.\nAnswer: 1932855564*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g**3*v**2 + 280549*g*v**2 - 751*v**2 - 90*v wrt g.\nAnswer: 6*g**2*v**2 + 280549*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-105))\/((-39)\/390)*7*(-9)\/(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56\/5 - 2\/15*q**2 + 88\/15*q = 0. What is q?\nAnswer: 2, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n + 14*n + 40 = 0. List the prime factors of (n\/6)\/(498\/99 + -5).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q**2\/3 + 1566*q + 309879 = 0. Calculate q.\nAnswer: -4491, -207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/2)\/(23\/(-18) - 12\/(-27)). Factor 6\/5 + 3\/5*c**3 - 6\/5*c**2 - s*c.\nAnswer: 3*(c - 2)*(c - 1)*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 + -13. Let l(o) = -39*o - 14. Let z(h) = -10*h - 3. Let d(w) = -l(w) + 4*z(w). Determine d(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 302230?\nAnswer: -302222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -5*k**2\/2 + 37. Let q(g) = 18*g**2. Calculate a(q(s)).\nAnswer: -90*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 4*v + 5*v)*(-v**3 + 2*v**2 - 2*v**2) + 4*v**2 - 2*v**4 - 4*v**2.\nAnswer: -5*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -764, -12280, 0.1 in decreasing order.\nAnswer: 0.1, -764, -12280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -86\/299831?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -64*q**3*z**2 - 28712*q**3*z - 32*q**3 + 9*q**2*z + 1450126*z**2 wrt z.\nAnswer: -128*q**3 + 2900252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*r**4 + 24*r**3 - 89*r**2.\nAnswer: 72*r + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x = -102 - 48. Suppose -198 = x*n - 24*n. Solve -2*m = -n + 16 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1034 + 221. Solve 319 = 104*w + u for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14648.\nAnswer: 2, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of b**6\/360 - b**3\/2 + 2*b. Let w(a) be the second derivative of u(a). Let c(h) = -4*h. Determine w(c(n)).\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -241121304 (base 5) in base 14?\nAnswer: -20dd62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 5*i - i - 3*q - 2*q, 19*q + 61 = -72 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 7 + -2 + -1 - (676 + -688)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -185894 by -121.\nAnswer: 185894\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3*x + x = 19, -4*x + 12 = 0. Let i = a - -12. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -192*j**3*z + 317*j**2*z - 2*j - 136*z + 246 wrt j.\nAnswer: -1152*j*z + 634*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 109763710 a multiple of 172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8151\/(-988)*(-6)\/(-81)*3?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5 + 1)*6*(-4)\/(-72). Suppose -22*g + l = -21*g. Suppose -g*k - h = -2*h - 119, h + 58 = k. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-9 + 0)*(-35)\/(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.6 + -3.6. Let d = 14 - 7. Let w = -6 + d. Which is the nearest to 0? (a) 2\/11 (b) w (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 342290 and 1745679.\nAnswer: 17456790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 46.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - -2 - 3\/4)*4. Let b be (-2)\/(-4)*i\/(-22). Let t = 0.1 + 0. What is the biggest value in 2\/9, b, t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23402313 (base 5) to base 8.\nAnswer: -645626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 7 + 4)*(328*p + 477*p - 458*p).\nAnswer: 2082*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -2, 3, 0.092, -2\/5?\nAnswer: 0.092","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2 - 19 = 0. Let p = i + 18. Is 4\/19 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 101*w**2 + 111*w - 762. What is the units digit of a(104)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -222662 (base 12) to base 5\nAnswer: -114343110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 674\/(-432) + (-3)\/24 and ((-2)\/(-3))\/(40\/246).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of 0 - 4*o**2 + 5\/4*o**4 + 4*o + 11\/2*o**3 - 1\/20*o**5. Let g(h) = 0. Calculate h.\nAnswer: -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 124.70119 - -0.39081. Let i = v + -125. Let n = i + 0.208. Which is the fourth biggest value? (a) 2\/11 (b) -3\/4 (c) -0.5 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t**2. Let r(h) = -h**2 + h - 1. Let b(v) = 9*v**2 - 6*v + 6. Let g(x) = b(x) + 6*r(x). Determine g(y(i)).\nAnswer: 27*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - w = 10522 - 57830, 5*a = -4*w + 236537. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, -2\/165, 46.\nAnswer: -1\/8, -2\/165, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 15, 131\/62?\nAnswer: 131\/62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.25? (a) -1660.5 (b) 0.4 (c) 4 (d) -0.01 (e) -3 (f) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2 - 92840*v + 2417220.\nAnswer: -5*(v - 26)*(v + 18594)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 61 = -4*w, -w + a + 0*a = -14. Let p = -18 + w. Is p\/(3\/557)*-1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7791534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 129368 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00440592245 to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - n + 16. Let q be ((-6)\/(-5))\/((-1)\/(-5)). Suppose -k + q*k = 0. Is 8 a factor of t(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 5. Let b = -50 - -26. What are the prime factors of b\/((45\/(-6))\/j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1260117 + -5?\nAnswer: -1260124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 147805 divided by 5.\nAnswer: 29561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13042929 a multiple of 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -j**4 - 2646*j**2 + j**4 + 41*j**5 + 2639*j**2 wrt j.\nAnswer: 2460*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -9634*n**2 - 924850*n + 1347. Give p(-96).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2 + 2 - 18*t. Let r be i(-5). What are the prime factors of (4\/10)\/(3\/r)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -271.6 - -272. Which is the nearest to -2? (a) -2 (b) 5 (c) h (d) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 3*j**3\/7 + 6243*j**2\/7 + 3342525*j\/7 + 97708125\/7 = 0.\nAnswer: -1025, -31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -8, 2\/57, 80, -1\/6, -3?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-4 + 0 + 0 + sqrt(300)) - ((4*sqrt(300)*-2 - (sqrt(300) + -1)*-2) + 0))**2 + -3.\nAnswer: -960*sqrt(3) + 19233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2610?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.035 take away 4.5603975161?\nAnswer: -4.5253975161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3129 + -3074. What is the third biggest value in 3, -3, y?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6\/7 (b) -1 (c) -5 (d) 31 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1597341232.\nAnswer: 2, 641, 155747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2098 less than or equal to 2075?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.05 + 4.05. Let g be (-4)\/(-10)*(-25)\/40. Which is the biggest value? (a) g (b) y (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2096.009336 + 2096. Round q to 4 dps.\nAnswer: -0.0093","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**2 - 37*k - 64. Let c be g(20). Let p be 0*((-35)\/70)\/((-2)\/c). Solve 5*v + 4 + 11 = p for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -151 - -157. Let d = 64 + -42. Suppose 24*y = d*y + m. Solve 4*u - y = u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 - 22. Let f be (20\/8)\/(z\/(-2)). Suppose -5*b - r = 23, r = -2*b - r - 6. Sort 2, f, b.\nAnswer: b, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 98 + -99. Let u be (-16)\/(-88)*(4\/(-2))\/2. Suppose -2*z + 3 = -5*s + 2, 5*z - 19 = -4*s. Which is the second smallest value? (a) u (b) 0 (c) f (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 4*j + 1. Let m be t(2). Suppose 0 = -m*i - 22 - 38. Is (-158)\/(-4) - i\/(-8) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 10:44 PM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1174 + -1172. Solve 3*g - 3*k - k = -1, w*k = -3*g + 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28336+-0.0711411\nAnswer: 28335.9288589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54328839 - 54328839 + 6*w**3.\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156 = -5*o + 136 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6195061, -6195064, -6195067, -6195070, -6195073?\n\"Answer: -3*x - 6195058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1115 by 5.\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 1 + (2 - 5) + 2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 - -14. Let b be (-2)\/u + (-1)\/8. What is the closest to 1\/4 in b, 0, 1\/11?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14.91*0.2\nAnswer: 2.982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2541003?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 151754819098 - 672.\nAnswer: 151754818426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -40e (base 15) in base 7?\nAnswer: -2444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3\/5, -6, -2\/135 in descending order.\nAnswer: -2\/135, -3\/5, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + p**2 + 2. Let l(n) = 7*n**3 + 7*n**2 - 10. Give l(m) + 5*r(m).\nAnswer: 2*m**3 + 12*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1*((-108)\/(-9))\/(-2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 8, 0.56, 9, -2?\nAnswer: 0.56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 6*w + 3. Let c = 17 + 5. Suppose c = -h + 4*a, 3*a = -0*a + 12. Determine t(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 + 0*r**2 - 5*r**2)*(2*r + 2 + 51 - 1).\nAnswer: -4*r**3 - 104*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12357 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*r + 4*r**3 + 6*r + 3*r.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z**2 - z. Let d(i) = -2*i + 209. What is d(w(k))?\nAnswer: -6*k**2 + 2*k + 209","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppppp. Give prob of picking 4 p.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.13 + -5.87. Let w = g + 4.7. Let u = w - -1. Which is the nearest to 1\/4? (a) u (b) -3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1428, -2858, -4288, -5718, -7148, -8578?\nAnswer: -10008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -285*j - 31251 = 508*j + 46463 for j.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*q + 0 + 42*q + 0 in the form h + s*q and give s.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4475 - 7994654?\nAnswer: -7994651.5525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 744 = -175*w + 187*w. Let u = -6 - -30. Calculate the remainder when w is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 446, 2428, 5844, 10790, 17362, 25656?\n\"Answer: 16*c**3 + 621*c**2 + 7*c - 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3*n**2 - 4*n - 4. Let w(g) = 2*g**2 + 3*g + 5. Let m(d) = 3*c(d) + 4*w(d). Let h(z) = z**2 - 7. Determine -6*h(x) - 5*m(x).\nAnswer: -x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*n - 70*n = 1785. Is n a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204454409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zdzzdzd. What is prob of picking 2 d?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16516098?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2152.\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**4 - 2 + 2)*(4 - 1 - 2) + 0*n**4 - 2*n**4 + n**4 + 329*n - 641*n + 338*n + 4*n**4.\nAnswer: 2*n**4 + 26*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 72149010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/612 and 127\/1530.\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -351530 (base 6) to base 15\nAnswer: -8e4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7439297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o**2 + 9326 + 12990 - 22316.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1030\/266 + (-2)\/(-7) - ((23 - 53) + 34).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Put 44\/229, -8, -206, -3 in ascending order.\nAnswer: -206, -8, -3, 44\/229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 61403079, 61403076, 61403073?\n\"Answer: -3*x + 61403082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*4\/(-8) - (-162)\/32. Let p = d + -473\/144. Is p bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12213865 rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(1539) + 1 - -5*sqrt(38)\/sqrt(2)))*6.\nAnswer: 84*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - -1)*(4 + -3). Let s be ((-1)\/(-3))\/((-8)\/48). Suppose j + 6 = 4*j. Sort j, g, s in decreasing order.\nAnswer: j, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133 is divided by (-1 - -2)*29 + 8\/(-4)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i + 1. Let k be y(1). Solve -2*a = -k*a + 2*n - 10, -3*n = 5*a + 11 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/((-4)\/(-7))*-2. Let y(c) = c. Determine y(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from htht. Give prob of picking 1 h and 2 t.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*j**6 + 2*j**5 - 333*j**2 wrt j.\nAnswer: 1680*j**3 + 120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -1658 in decreasing order.\nAnswer: 5, 2, -1658","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37*m**3 + 1581*m**4 - 3001*m - 103*m**3 + 1914*m**4 + 140*m**3 wrt m?\nAnswer: 41940*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4585, -6188, -7791, -9394, -10997, -12600?\nAnswer: -14203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/36 and 0 - -15 - 17914702\/1196936.\nAnswer: 24372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 983620*a + 162 = 983701*a. Factor -2\/7*n**a + 26\/7*n - 24\/7.\nAnswer: -2*(n - 12)*(n - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (29\/3 + -4 - 6)\/(2\/24). Put -914, j, 5 in decreasing order.\nAnswer: 5, j, -914","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 21*h. Let o = -53 - -56. Let c(w) = 66*w - 19. Let i be c(o). Let p(j) = 179 - i - 2*j. What is a(p(z))?\nAnswer: -42*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/5, 1\/4, -1\/2, 16, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (51*(-35 + 28 - (-69)\/10))\/(3\/15).\nAnswer: -51\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**4 - 2436*s**3 + 36240*s**2 - 180700*s + 300750 = 0. What is s?\nAnswer: 5, 1203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 109 + -66. Suppose -j - 4*t = 8, 0 = j + 3*j + t - r. Suppose -d = 2*k + j - 37, -2*d = 5*k - 52. Is 11 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 10:43 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -121, -428, -733, -1036?\nAnswer: -1337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(-20) + (-2)\/20*-4. Suppose -s + x*s = s. Suppose -u - a + 12 = s, u - 5*a = -0 + 30. Solve w + 2*w = u for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 2, -3 in descending order.\nAnswer: 5, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 12:10 PM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.21 - -0.2178. What is g rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -11*b. Does 23 divide s(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (156\/90 + -2)*5*-15 and 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*o - 8 = -74 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*g*l*z + 17*g*l + 78*g*z + l*z - 34*l + 80*z - 1 wrt g?\nAnswer: -3*l*z + 17*l + 78*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1554463 (base 8) to base 6\nAnswer: -13341511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 12:57 AM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3 = -3*t. Suppose 3*i - t*x - 23 = -2, 2*i - 9 = x. Let w(v) = -v**3 - 78*v**2 + 7. Let n be w(-78). Solve i*b + n + 3 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a meter in millimeters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1853 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 343 and 15.83.\nAnswer: 358.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 188 = -x. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30660*g - 99449.\nAnswer: 30660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -25 times 53\nAnswer: -1325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -2*y**5\/3 + 4*y**4 - 28*y**3\/3 + 32*y**2\/3 - 6*y + 4\/3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 - 97*q + 351. Let t be j(116). Calculate the greatest common divisor of t and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 2*n = 32, -4*w - 9*n = 33*n - 64 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3510 is divided by 563?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*a*g**2 - 314*a - 11*g**2 wrt g.\nAnswer: -30*a*g - 22*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1494 + 4556\/3. Calculate the common denominator of -81\/22 and q.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + 14. Calculate the greatest common factor of 4 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.09 * -13398.\nAnswer: 1205.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m + 11. Let x(s) = 6*s - 34. Let a(j) = 8*v(j) + 3*x(j). Let w be a(9). Factor -k**2 + 4*k**2 + 2*k + 2*k + 3*k**2 - 2*k**w.\nAnswer: -2*k*(k - 2)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 * 102\nAnswer: -8.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4*r - 3*r - 37 = 0, -5*q - 75 = r. Let t(m) = 2*m + 48. Let d be t(q). Solve 1 = 5*l + d for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12975091 a multiple of 647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/54 and -151\/54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/5, 2, 3\/5, -178, -500\/9, 50?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(1\/9)\/f)\/f)\/(f*f**34) assuming f is positive.\nAnswer: f**(-323\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/15*-5 - -3. Solve 2*s - 25 = -j - 3*s, j = -s + c for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 6*r - 6. Let f be t(2). Suppose 0 = c - 0*c - f. Solve 0 = -4*k + 2*m + c, 7 + 9 = -k + 4*m for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2086*s + 139647 - 41605 for s.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 80, -5, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100111100100001011001 (base 2) to base 11.\nAnswer: 806072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 219\/54 + 14\/(-252). Calculate the highest common divisor of 46 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o. Let n(q) = -q**2 - 106719*q - 596. Give x(n(d)).\nAnswer: -d**2 - 106719*d - 596","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/4 of a kilogram in grams?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -96, -97, -98?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3974 + -3925. Calculate the remainder when (-686)\/(-8) + 2\/8 is divided by h.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 121*q**2 - 2*q - 7. Let l be g(-2). Suppose 0 = 6*w - 59 - l. Suppose 27 = 7*n + w. Let m(k) = k**3 + 10*k**2 + 10*k + 8. Calculate m(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -50? (a) 1\/3 (b) 1.1 (c) -4 (d) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, u: 6, t: 2, k: 1, l: 4}. What is prob of picking 1 t, 1 l, and 1 x?\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvdvvydvdfdddvfvdyv. Give prob of picking 3 d.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 + 105338?\nAnswer: 105332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -49\/2, 3, 0.2 in ascending order.\nAnswer: -49\/2, -2, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47465 is divided by 7462?\nAnswer: 2693","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(1088) + sqrt(17) + sqrt(153)*5)**2 + (6*(sqrt(187) + 3*sqrt(187)) - sqrt(187))\/(-3*sqrt(99)).\nAnswer: -23*sqrt(17)\/9 + 17408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1112 and 284950?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.719751 rounded to two decimal places?\nAnswer: -17.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (115*((-41)\/(-5) - 7))\/(6\/4) is divided by 40?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 244.62 times -10\nAnswer: -2446.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in 3, 19.17, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1223341?\nAnswer: 7, 174763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39092*x - 315 = 39101*x - 78148*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 7320 divided by -12?\nAnswer: -610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (20\/(-25))\/(2\/130). Let u = -46 - g. Let a(i) = -i + 3*i - u*i - 5*i. Let d(s) = s. Give d(a(w)).\nAnswer: -9*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -103 - -107. Suppose 16*a = 18*a - y. Solve a*p + w = 3, -p - 4*p + 5*w = -30 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 2)*(-6*h + 5*h - 14*h)*(-h - 2*h + 2*h) as i*h**2 + d + b*h and give i.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/10)\/(77*(-54)\/(-197505))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10010202022 - -120?\nAnswer: 10010202212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.5*-1.\nAnswer: 9.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 782442?\nAnswer: 2, 3, 17, 2557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 497177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 - -9. Let v = -1 - k. Suppose -370*i = -346*i - 576. What is the highest common divisor of v and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 10) to base 15\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (400\/4)\/5*8\/140\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/51 and 18\/935?\nAnswer: 2805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + 5*i + 6. Let l be w(-5). Suppose -3*u + l = -0*u. Calculate the smallest common multiple of 11 + ((-15)\/1)\/5 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*z - 6*z - z - 2*z - 4 to the form y*z + u and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5296 + -5296. Let y(z) be the first derivative of 26 + 0*z**4 + w*z**2 + 0*z + 5\/3*z**3 + 14\/5*z**5. What is the third derivative of y(o) wrt o?\nAnswer: 336*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.8291 tonnes in kilograms?\nAnswer: 26829.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of 38 - 5*w + 1\/3*w**3 - 3*w**2. What is m(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -183 or -185?\nAnswer: -185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 8*y - 5. Let i be -4 + (-2 - -1) + 9. Suppose -12 = -3*x - x, -175 = i*v - 5*x. Let w = -47 - v. Calculate r(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of 11*g**5\/20 + g**4\/4 - g**3\/3 + g**2 - 288*g. Calculate the remainder when 52 is divided by f(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/7 (b) -2\/277 (c) -364\/73 (d) 0.3 (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 7*q + 1. Let b be f(-7). Let i be (3\/b + -3)\/(-2). Is i greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, y: 1, x: 2, a: 6, n: 2}. Give prob of picking 1 a and 1 n.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 32*y**2 + 95*y + 30. Let z be f(-3). Solve -9 = -l - 14, 4*q + 2*l = z for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3*n**3 - 6*n**2 + 10*n - 31. Give m(5).\nAnswer: -506","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**4 + 376*m**3 - 11136*m**2 + 105984*m.\nAnswer: -4*m*(m - 46)*(m - 24)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 560, 17\/3, -1, -4\/7, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1 + 7)\/2)\/1. Suppose g = -3*n + 93, 0 = j*n + g - 6*g - 75. Does 15 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - -11) + -71 - -11?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6121 is divided by 873?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*o**2 + 3*o**2 - 5*o**2)*(5*o**3 + 28*o**3 - 72*o**3) + 3*o**3 - 3*o**3 + o**5 + (-3*o**3 + o**3 + 3*o**3)*(-o**2 + o**2 - 2*o**2))*(-1 + 0 + 2).\nAnswer: 155*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 15*t - 5. Let d(u) = -15*u + 4. Let p(w) = 4*c(w) + 5*d(w). Suppose 5*n = -13 + 3. List the prime factors of p(n).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - o**2 - 2*o**2)*(3 - 22 - 25).\nAnswer: 88*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 9*k + 15. What is h(0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/7 + (-22572)\/(-14630)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 14) to base 9\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - (2 + -1))*(1 + 1). Solve 2*h = x, 2*d + 5*h + 3 + 0 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0\/4)\/4 + 7 + 1. Solve 3*s = -4*a + 16, -s = 3*s + 2*a - p for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75936 is divided by 130?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 732140831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1154.\nAnswer: 2, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -17*i + 3. Let s(n) be the second derivative of 5*n**4\/4 + 22*n + 4. Let g(v) = 23*v**2. Let q(a) = 5*g(a) - 8*s(a). Calculate q(f(u)).\nAnswer: -1445*u**2 + 510*u - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 6 = 6. Let d(r) = r**3 + 6*r**2 - r - 5. Let k be d(f). Suppose -3*j = 19 - k. Is 4 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -20 + 18 + (-5)\/(-1). Sort y, 4, 2 in increasing order.\nAnswer: 2, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**3 + 154*s**2 - 146*s + 358. What is the tens digit of q(74)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -11*f**3 - 5*f**2 - 3. Let i(o) = -34*o**3 - 31*o**2 - 22. Let g(z) = -31*z**3 - 27*z**2 - 19. Let d(w) = 6*g(w) - 5*i(w). What is -5*d(y) + 7*m(y)?\nAnswer: 3*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10 + 4)*3\/(-6). Suppose 27 = v*c - 105. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 764.\nAnswer: 764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-136651.\nAnswer: 409953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215 - 33 = -3*u + 68, -527 = -l + 14*u for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 495.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 1 - 5. Suppose 40 = -r*a + 6*a. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(180) + 1 + sqrt(180))*2 - ((3*sqrt(180)*2 - sqrt(180)) + sqrt(180)))*-1 + -1 + 4*-6*(sqrt(180) + 2))**2.\nAnswer: -448605 - 67320*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5038 and 286?\nAnswer: 65494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 4*b - 12. Let p be 6 - ((-88)\/(-154))\/((-4)\/14). Calculate the remainder when 138 is divided by z(p).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1407617?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a kilogram in grams?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10377367.\nAnswer: 7, 11, 13, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6116.879 millennia?\nAnswer: 611687.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3500.2 + -6?\nAnswer: 3494.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 18*v + 15. Let p(l) = -95*l - 78. Let n(s) = 21*d(s) + 4*p(s). Let t(z) = 6*z - 9. Determine 17*n(h) + 6*t(h).\nAnswer: 2*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.4645 times -12\nAnswer: 5.574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*x + 10. Let p be (56\/(-70))\/(x\/(-10)). Factor 8\/5*k + 0 - 4\/5*k**p.\nAnswer: -4*k*(k - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8586.47 - -8539. What is m rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 11 = -0. Let i = 55 - 51. Suppose 156 = -i*w + 16*w. Is w less than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 d when two letters picked without replacement from ddddddppd?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 5*y - 27. Calculate the remainder when y is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22054 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 33311, 35376, 37441, 39506, 41571, 43636?\n\"Answer: 2065*a + 31246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -117186 - -1800?\nAnswer: -115286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*c - 88*c = -942 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5.174657g?\nAnswer: 5174.657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a minute in seconds?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 9:54 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*f**5 + 6*f**5 + 2*f**3 - f**5 + 5*f**3 - 5*f**3 + 2*f**5 + (0*f - 3*f + 2*f)*(f**4 - 3*f**4 + f**4) - f + f - 2*f**5.\nAnswer: 15*f**5 + 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, 0, -12.6, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-38)\/(-3))\/((-3)\/((-9)\/41) + -13).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*u - 10. Let m be 2\/(2*u\/(-42)). Let i(o) = -o**3 - o**2 - 3*o - 3. Let z be i(-5). What is the greatest common factor of z and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 1. Let c = 2 + a. Let w be (-6)\/(-4)*(-4)\/(-14). What is the nearest to -1 in c, -5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 0.5 (b) 20 (c) 0.4 (d) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -108 or -4473\/41?\nAnswer: -108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -536 - -618. Calculate the greatest common factor of 1107 and g.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-8)\/(i*i**14*i))\/((i*i\/i**(-2\/45)*i)\/i*i**(2\/35)) assuming i is positive.\nAnswer: i**(-8222\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 9*r + 16 = 0. Let s(d) = 53*d**2 + 14. Is s(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-6) + (-2)\/(-3). Suppose q = -3*y - 4, v = -4*y - 4. Let t = q + 3. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 v when two letters picked without replacement from {d: 1, v: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28357\/5076 + -4\/1269. Find the common denominator of t and -43\/126.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -0*g - q - 375, 5*q - 197 = 3*g. Let n be g\/(-3) + (-4)\/24*-2. Calculate the greatest common divisor of n and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 68\/(-16)*8\/372. Let q = y - -8\/31. Let b be (9\/8)\/(12\/(-8)). What is the nearest to -2\/5 in b, q, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3203 at most as big as 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17651 - 13328 + 8254 - 5*h**2 - 2*h + 0*h**2.\nAnswer: -5*h**2 - 2*h - 22725","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxxxxx. What is prob of picking 4 x?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -11*r**3 + 15*r**3 + 3*r**2 - 3*r - r**2 + 2. Let q be o(1). Solve 5*u + q*b - b = -21, 0 = 5*u - 3*b + 28 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(119) - 3*sqrt(119)*-2) + sqrt(119))\/sqrt(7).\nAnswer: -4 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wqq when three letters picked without replacement from qwpqqpwpwkqqp?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -111110?\nAnswer: -111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (1\/10)\/((-228)\/(-24) - 8)\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 6 = -y, 5*v - 8 + 5 = -4*y. Solve -i + 8 = 4*p - 2*p, v*i - 22 = -5*p for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of -2*y**5\/3 + 11*y**4\/24 + 2*y**3 - 265*y**2. What is the second derivative of k(j) wrt j?\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - 58 - 38 + 42)*(1 - 1 + 3*i**2).\nAnswer: -6*i**3 - 162*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-2)\/(-30)*5*18)\/((-20)\/(-119580)).\nAnswer: 2, 3, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 14*n - 8. Let v be c(8). Let y be ((-6)\/(-8))\/(0 - (-15)\/v). Let z be (10\/(-25))\/((-2)\/10). What is the greatest common divisor of y and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 4*s = -44, 2*k + 2*s - 1 = k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*t**4\/2 + 3*t**3\/2 + 39*t**2\/2 - 3*t\/2 = 0. What is t?\nAnswer: -1, 0, 1\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 103 (b) 4 (c) 0.6085 (d) -0.6 (e) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5.32267 * 3\nAnswer: -15.96801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 5:45 PM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 + 21. Let x(j) = j**3 + 8*j**2 + 6*j + 2. Let s(u) = 5*u - 2. What is the remainder when s(7) is divided by x(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -2. What is the common denominator of -117\/14 and g - (220\/8 - 1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 11*p + 36. What is the remainder when 46 is divided by h(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 171 and 18.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15998909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22816, -22888, -22960, -23032, -23104?\nAnswer: -23176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-one quarters of a day?\nAnswer: 7560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(968)*-6 + -4)*2 + -4)*3.\nAnswer: -792*sqrt(2) - 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29335531, -29335527, -29335513, -29335483, -29335431, -29335351?\nAnswer: -29335237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 3 + 5 = -4*j, -3*h = 4*j. Suppose -5*c + g = -0*c - 13052, -7820 = -j*c - 5*g. What is c rounded to the nearest 100?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, 3, 13, -120 in decreasing order.\nAnswer: 13, 3, 2, -2, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*m + (0*m + 3*m - m)*(-1 + 1 - 1) - 2 - 2*m + 2 - 1 + m + 1 + 0*m - 6*m + 4*m)*(2*m - 5*m - m).\nAnswer: 28*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -468 + 388 = 5*m for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 156565605 to the nearest integer?\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -83633400 divided by 6?\nAnswer: -13938900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*n**2\/7 - 1442520*n\/7.\nAnswer: -6*n*(n + 240420)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 5*q + 305 = 0, 0 = q - 0 + 1. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3187227886?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-5 + -4*-1*sqrt(243) + 1*(sqrt(243) + 0) + -4) + -4 + 0)**2.\nAnswer: -8370*sqrt(3) + 55636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1\/38, -7\/17, -2\/7.\nAnswer: -7\/17, -2\/7, 1\/38, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.30144 years in months?\nAnswer: 879.61728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2056018 not equal to -2056034?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 1:30 PM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53039586?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20 + 1251?\nAnswer: 1301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**3 + 8140*q**2 - 16274*q + 8136 = 0. What is q?\nAnswer: 1, 4068","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 798, 1281, 1764, 2247, 2730, 3213?\nAnswer: 3696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64059?\nAnswer: 3, 131, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 10:28 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 3*f**2 - 3*f. Let p be w(-2). Suppose -4*l + 5*k + 110 - p = 0, 0 = 5*l - 5*k - 120. 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: List the prime factors of 9067016.\nAnswer: 2, 7, 161911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14627?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 7*w**2. Let c(o) = 4*o**2 - 14*o. Give c(n(f)).\nAnswer: 196*f**4 - 98*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 1 - 55*g - 187*g - 5 in the form c + o*g and give o.\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3308646919?\nAnswer: 151, 167, 179, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + -3*1\/3. Suppose b*z - 60 = -4*f - 14, 42 = z - 4*f. Let p = 50 - z. Calculate the highest common divisor of 4 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22 + -1132?\nAnswer: -1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -49*q**5\/3 + 1551*q**4 + 55756*q**3\/3 + 167104*q**2\/3 + 50720*q + 5936\/3 = 0.\nAnswer: -7, -2, -2\/49, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15.6 - -15.3. Which is the nearest to 1? (a) 0 (b) -0.8 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 4*w - 5. Let j(x) = 3*x + 1. What is -2*j(m) - o(m)?\nAnswer: -10*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(300))*-3 + 3*sqrt(300)*2)**2.\nAnswer: -360*sqrt(3) + 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -41 + -3 + -5 + 43\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57249?\nAnswer: 3, 6361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 62852 and 565668.\nAnswer: 565668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 10}. What is prob of sequence ee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1125291 - -2.1.\nAnswer: 2.2125291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i**2. Let f(b) = 2*b**2 - 2. Let d(a) = 5*a**2 - 25. Let l(m) = -d(m) + 6*f(m). Give u(l(j)).\nAnswer: -98*j**4 - 364*j**2 - 338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 38 (b) 288 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(72) + -5 + sqrt(72))**2*-4.\nAnswer: -2692 + 720*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of 2*i**3\/3 + 2*i. Let p(m) = -4*m + 40. Let n be p(12). Let v be 5*2*(n\/2)\/40. What is h(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5289461929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3124)\/(-66) - 46)*21\/(-1).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*l - 60 = -735. Let y be (-43)\/(-9) + (-6)\/(-27). Calculate the greatest common divisor of y and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 62 + -57. Suppose -i*b + 485 = 5*x, -b - 134 = -5*x + 327. What is the remainder when x is divided by 29?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 6*f - 450. Let x(s) = s**3 + 37*s**2 + 102*s + 9. Let m be x(-34). Calculate the greatest common divisor of f and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - 7*a**2 - 6*a - 2. Let i(d) = 4*d**3 + 2*d**2 - 6*d + 4. Let l be i(2). Suppose 0 = -8*r + 4*r + l. Determine k(r).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 5 - 342616*b + 29*b**3 - b**2 + 342613*b in the form o + f*b + v*b**3 + n*b**2 and give v.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2069225?\nAnswer: 5, 37, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 19*i**2 - 7. Let k(c) = 7*c**2 - 4. Let a(j) = -7*k(j) + 4*u(j). Let w(t) = -2*t**2 - 21. Give a(w(l)).\nAnswer: 108*l**4 + 2268*l**2 + 11907","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**3 + 3*b**3 - 10 - 8*b - 6*b**3 + 8*b**2. Calculate the remainder when 74 is divided by k(5).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-250591)\/(-5995))\/(38\/20)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2403917356?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 595 is divided by 41.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -412*n + 410*n - 14 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.07 - -0.17. What is the second biggest value in w, -2\/13, 1\/4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3634.2 + 3637.2. Let u be 2\/(-1) - 36\/(-6). What is the nearest to 0 in 1.03, u, 2, z?\nAnswer: 1.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1*(sqrt(128))**2 + -3.\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 8:12 PM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 - 824890*g + 824888.\nAnswer: 2*(g - 412444)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**3 - 3*v**3 - v**3)*(-v**2 + 3*v**2 - v**2) - 4 + 9*v**3 + v**5 - 9*v**3.\nAnswer: -v**5 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179638 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus -12.1314566?\nAnswer: 12.4314566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.072 and -12.24.\nAnswer: -12.312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -q, 4 = 4*x - 3*q - 6. Let z(m) = -m**2 - 4*m + 2. Let u be z(-3). Find the second derivative of -2*r - x - 3*r**4 + 6 - u wrt r.\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -8*s**2 + 6*s. Let j(i) = -4 + 4 + 13*i - 12*i - i**2. Let x = 0 + -1. Let k(c) = x*w(c) + 6*j(c). Let r(l) = -l. What is k(r(g))?\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**2 + q. Let p be d(-1). Let z = p - -7. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22.343 bigger than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -1 - 1 + 6*j**2 + 3*j - 1. Let d be f(-5). Suppose -w = w - d. Calculate the greatest common factor of w and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 10:41 PM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nq when two letters picked without replacement from {y: 2, q: 1, n: 2, w: 6}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 87836?\nAnswer: -87834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 10 = -4*q, -3*l + 1 = q - 2*q. Suppose 2*h - 3*g = 16, q*h - g - g - 16 = 0. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*j - 0. Let f(u) = u - u - j*u. Let s(q) = -3 - 3*q**2 + 7 - 4. Calculate f(s(r)).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -4*z**3 - 7*z**3 + 12*z**3 + 6*z**2 - 10*z - 16. Let i be m(-7). Put 1, i, -2 in ascending order.\nAnswer: -2, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -72 + 177. List the prime factors of h.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7, h: 3, l: 1, b: 4, p: 1}. What is prob of sequence blh?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15252 = 125*s + 173*s + 74*s for s.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 5*n = 15. Suppose -11 = -n*p + 2*l, -3*l = -3*p + 4*p. Suppose -3*x - p*x = -54. What is the highest common factor of x and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 18 = 3*h, -h = 5*c + h - 9. Suppose -c*d = 5*u + 128, u = -d + 5*d - 21. What is the units digit of u*12\/(-45)*6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -282, 2, 10 in decreasing order.\nAnswer: 10, 2, -282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -5. Let i(m) = -m**2 + 1. Let p(o) = -4*o**2 + 22*o - 8. Let g be p(5). Let j be (4 - (-18)\/(-4))\/(g\/4). What is j*v(f) - 5*i(f)?\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, -3, 17, -20?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -3*f**4\/2 - 557*f**3\/3 - 5966*f + 5803. What is the derivative of a(l) wrt l?\nAnswer: -18*l**2 - 1114*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of 1\/96*z**4 + 1\/6*z**3 - 1\/336*z**7 - 1\/48*z**6 - 2*z - 7\/160*z**5 + 0 + 1\/4*z**2. Find v such that i(v) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f**2 - f**2 + 6*f**2 + (-2*f + 3*f + f)*(2*f + 3*f - 4*f) - 185*f + 159*f**2 + 185*f + ((-2 + 1 + 0)*(2 + f - 2) + 0*f - f + 0*f)*(-2*f - f + 5*f).\nAnswer: 158*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.53 + -4.036. Let x = 5.796 + h. Round x to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5442 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 754006.\nAnswer: 2, 11, 34273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1272 is divided by 67?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-2)*0\/3. Let s = -0.38 - -0.28. Let y = -5 - -5.4. Which is the closest to s? (a) n (b) 4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-300)\/(-252)*312\/(-520)?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -12) + -7 + (0 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -71.60144677 - 0.5.\nAnswer: -72.10144677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 0*n - 40 = 2*n, -n = -3*x + 30. Let l be 14\/(-35) - (-9)\/x. Sort -3, 0, l in ascending order.\nAnswer: -3, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1840 and 2365360?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(266)*-1*-1)\/(sqrt(84)\/(sqrt(12)*-1) - sqrt(7)))\/((sqrt(288)*1*5 - sqrt(288))*-4))**2.\nAnswer: 19\/147456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3\/2 (b) -2.9 (c) -312\/121 (d) -0.5 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*p**2 + p**2 + 3*p**2)*((-2*p - p + 0*p)*(-4 - p + 4) + 3*p**2 + 7 - 6*p**2 + 4*p**2).\nAnswer: -8*p**4 - 14*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v = -9*v - 18 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 1a42?\nAnswer: -1a41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1474727*y**3 - 79881*y**2.\nAnswer: 8848362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -2*n - 5*s + 42, n + 3*s = 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6425 + 2?\nAnswer: 6427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204*l = -298*l + 9433558. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/7392 and 93\/38336.\nAnswer: 8855616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.55296 + -161.35004. Let t = 0 - 165. Let w = t - k. Round w to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 744 and 34980648.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/12 + 560\/96. Calculate the greatest common divisor of f and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*6*(sqrt(275)*-3*1 + sqrt(275) + sqrt(275) + (-3 + sqrt(275)*2 - sqrt(275)) + 0))**2.\nAnswer: 11664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -72, -169, -314, -513, -772?\nAnswer: -1097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1141 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/17)\/(w*w\/w**(-2\/3))*w**(-1\/11)\/(w**(-4)*w))**37 assuming w is positive.\nAnswer: w**(7474\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 667 and 5410762?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (2 - (5 - (4 - 3)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 585*z + 2457*z - 352*z = 63623 + 68187 for z.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 78532.1 meters in micrometers?\nAnswer: 78532100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -9570899?\nAnswer: 4\/9570899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 - (-16 + 19 + 25).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-14 - -7 - -10) + (12 + -15 - 10)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 + 4*b - 7. Give o(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2 - 3*o + 5 - 2*o. Suppose 12 = -w - 2*w. Is c(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**(-1\/14)\/v))\/(v*v\/(v\/v**(-3))*v))\/((v**0\/v)\/(v*v*v*v**(9\/7))) assuming v is positive.\nAnswer: v**(103\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*h + 84*h + 40 = -4*s, -h = -38*s + 53*s + 150 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.086 - 4?\nAnswer: -3.914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a + 0*a + 3*a)*(-9 + 7 + 23)*(0 + 0 - 2).\nAnswer: 84*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3\/2, -3\/4, -4, 3\/32?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - s + 2*s)*(-s**2 - s**2 + s**2) + (-2*s + 0 + 0)*(2*s**2 - 3*s**2 + 2*s**2) + 3*s**3 - s**3 - 4*s**3.\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23403484 and 689.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -1 - (-19 + (-7 - -13) + -6)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8993 = 2*z + 5*i, 70*i = z + 69*i - 4479. What are the prime factors of z?\nAnswer: 2, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 371477\nAnswer: 5\/371477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 316116160?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 235\/908 - 2\/227. Let c(z) be the first derivative of 2\/3*z**3 + i*z**4 - 1\/2*z**2 + 4 - z. Determine c(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8202720 a multiple of 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 12*w - 15*w - 15 + 0 + 2. Let g be (3\/2)\/((-9)\/(-12)). Suppose -32 = d + 5*s, -2*s + 11 = -d - g*d. Let o(p) = -2*p - 9. What is d*o(t) + 5*f(t)?\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in eleven halves of a century?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + (16 - 6) + 5.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33395 - -47546. Calculate the greatest common divisor of 159 and u.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-1550)\/(-24))\/(-5) - (25843\/516 + -50)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-42)*a*a\/(a*a*a**(2\/97))*a*a**21*a**38 assuming a is positive.\nAnswer: a**(1744\/97)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + 3)*5*1. Suppose 0 = -2*z + z + f + 6, -2 = -3*z - 5*f. Let r = 0 + z. Is p greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 143 + -64. List the prime factors of c.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60038 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 7*j + 43. Let k be f(-6). Let c be 13\/(-1 - (-56)\/52). Let x = -5071\/30 + c. Which is greater: x or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -158.5 - -158.7. Which is the biggest value? (a) 1.31 (b) k (c) 1 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3695196 divided by 38\nAnswer: 97242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 921619689?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-76 - -77) + (-205)\/65 + 2\/13.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4*sqrt(3) + 5 + ((-2*sqrt(45))\/sqrt(3))\/sqrt(5).\nAnswer: 3 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -423249308*o**3*s**3*u - o**3 - 50*o*u - 813*s**2 - 32*u wrt s.\nAnswer: -2539495848*o**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 932222340?\nAnswer: 2, 3, 5, 7, 739859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 13) to base 6\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uul when three letters picked without replacement from {l: 3, u: 5, a: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w. Let j(c) = 4*c**2 - 45*c + 11. Let b be j(11). Let y(k) be the second derivative of -3*k + b + 0*k**2 - 1\/3*k**3. Calculate f(y(t)).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 4*f**2 - 1121*f + 8014. What is r(273)?\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(5) + -3 + sqrt(5) + sqrt(20)*-1 + 5)**2 - (((sqrt(5) - -3*sqrt(5))*-4)**2 - ((sqrt(80) + 3)**2 + sqrt(80))).\nAnswer: -1187 + 28*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 5. Let q = l + -4. Let t(d) = d + 9. Is t(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4163.953 - 4163.97560027. Let l = 0.28260137 + o. Let v = l - 0.26. Round v to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/9)*h**18)\/((h*h*h**(-4\/7)*h)\/(h**(-10)*h)) assuming h is positive.\nAnswer: h**(400\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 352?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1925428945?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3*x = -7*x + 8, -3*a = -x + 2. Let w be -26 - (a - 0)*1. Let s = w + 55. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44ed4e (base 16) to base 6\nAnswer: 240452542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - -4 - (-12 + 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 3*d**2 + 5*d - 2. Let l be h(4). Let k = 3 - l. Solve -2*n + 5 = -k for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -0.1995?\nAnswer: 5.1995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 8:26 AM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 4*w - 1, -g = -5*w + 17 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -324025 (base 6) to base 10.\nAnswer: -26801","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(4\/9)\/o)\/o**(-2))\/(o\/(((o\/o**(1\/2))\/o)\/o))**(-46)*((o**(4\/7)*o*o)\/((o*o**(-2))\/o*o))**(-36) assuming o is positive.\nAnswer: o**(-764\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 224 - 371 = -5*q, -q = -3*t + 341. Let l = 111 - t. Sort 28, 4, l, -1 in ascending order.\nAnswer: l, -1, 4, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + 6*(-1*sqrt(833))**2)*2.\nAnswer: 29994","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 33962.8 rounded to the nearest 100?\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 29\/2 of a millennium?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*w = -39*w + 132. Which is the smallest value? (a) w (b) 1\/7 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 3\/2*q**2 + 3 + 0*q - 6*q**3. Factor z(g).\nAnswer: -3*g*(6*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3132900 and 145800?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wbbwwgwwbwb. Give prob of picking 3 b.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 844192 and 62?\nAnswer: 844192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 6 - 9. Suppose -i - 46 = -l*i + a, 0 = -4*a. Suppose 4*p + 0*p = 20. Solve m - 3*m - v = -8, -i = -p*m - 4*v for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-72)\/(-126) - 24\/(-7). Suppose 4*g = 7*g - 12. Solve -g*p - n*h = -20, -5*h + 5 = p - 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 20*b - 11. Let z(w) = 7*w - 4. Let i be 6\/3*(-44)\/(-8). Let j(l) = i*z(l) - 4*g(l). Let m(k) = -k**2. Determine j(m(c)).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 105, -9, 1\/3, -0.4?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2141.\nAnswer: 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8318, 16583, 24910, 33299?\nAnswer: 41750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110 + -20?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 20222110101 (base 3) in base 2?\nAnswer: 100001100010101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -2, -8, -25.8, -1\/3.\nAnswer: -25.8, -8, -2, -1\/3, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1490 - -1495. Solve -5*l = -l + 5*i + 7, c*l + 4*i = -11 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - d - 87, -175 = -17*r + 13*r + d. What is the remainder when 261 is divided by r?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 12*u**2 + 4*u - 20. Let q(s) = 1. Let a(n) = 12*q(n) + y(n). Suppose a(v) = 0. What is v?\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.2 - 2.6. Let f = 0.7 + 0.1. Let t = f - p. What is the third smallest value in t, -0.5, 9\/7?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**2 - 150*u - 265837. Give s(-329).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 5*p + 5. Let a(s) = 2 + 0*s + 8*s - 5*s. What is 5*a(l) - 2*m(l)?\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 0 + 2 + 2*j - 1. What is the smallest common multiple of 11 and y(5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -x - 24, 5*h - 233 = 4*x. Solve -h*k + 6 = -47*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in u**2\/7 - 2383*u\/7 + 12730 = 0?\nAnswer: 38, 2345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 165567 and 77402?\nAnswer: 55961646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -581498604 take away 20717?\nAnswer: -581519321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -211551374, -211551373, -211551372?\n\"Answer: y - 211551375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -209*y**3 - 29*y**4 + 209*y**3 + (-2*y + 0*y + 3*y)*(y**3 + 4 - 4) - 1 + 2*y**4 + 1 + 3*y**4 + 0*y**2 + 0*y**2.\nAnswer: -23*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -864\/7 + 670\/7. Let o(b) = 29*b**3 - b**2. Let t be o(1). Let x = f + t. Which is smaller: 0 or x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -940881, -940894, -940907, -940920, -940933, -940946?\n\"Answer: -13*l - 940868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a day in seconds?\nAnswer: 95040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*g - 106 - 224. Solve -2*x + 4*y + 16 = 0, 5*y = 8*x - 3*x - g for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 3*x - 12 = 15, 0 = 5*q - 4*x. Suppose 3*w - 8404 = q*r, -5*r + 2798 = w - 3*r. What is w rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.6 + 316.6. Let y = x + -308.9. Let u be (-6)\/14*(-2)\/(-6). Which is the second smallest value? (a) -0.5 (b) y (c) u (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9456868227\/39248260 - -1\/1962413. Suppose -g + 50 = -191. Let y = g - v. Calculate the common denominator of 63\/2 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50 - 0) + (-114323)\/(-2188).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 256.1 + -256. Let p be 4 + -2 - 37 - 2. Which is smaller: l or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - 113*n + 1124. Determine y(10).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 48, 128, 232, 360?\n\"Answer: 12*q**2 + 44*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 55286844?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -186*n**3 - 3*n**2 - 11*n. Does 25 divide a(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 47244 and 5952?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-3) - 55\/(-3). Let n = 293 + -296. Let c be (n - -2)*-191 + 7. What is the highest common factor of y and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 701727517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l. Let g(i) be the first derivative of i**5\/24 + 5*i**3\/3 - 5. Let f(q) be the third derivative of g(q). Determine f(k(j)).\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -495 - -4428. What is the highest common factor of 276 and j?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express b**2 + 0*b**2 + 0*b**2 + (-b + 1 - 1)*(-31*b + 3*b + 5*b) as x*b**2 + r + l*b and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(1\/3))\/p)**7*p**5\/p*(p*p*p\/p**(-6\/7))\/p*((p**(1\/3))**(-30))**(-3\/16) assuming p is positive.\nAnswer: p**(1859\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ixi when three letters picked without replacement from xii.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 3 (c) -2 (d) 1 (e) -1\/58\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -806, -794, -774, -746, -710?\n\"Answer: 4*i**2 - 810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.74 - -0.6.\nAnswer: -1.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -215256 divided by -26907\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r - 376*r**2 + 7*r**3 - 12 - 379*r**2 - 393*r**2 + 1131*r**2 to the form c*r + f + n*r**3 + y*r**2 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*c = -57*c - 5. Let x(t) = 7*t + 15. Let a(n) = -8*n - 20. Let r(w) = 4*a(w) + 5*x(w). What is r(c)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2805*s + 807. Let c(g) = -3*g. Determine h(c(v)).\nAnswer: -8415*v + 807","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u**3 - 9*u + 5. Let b(m) = -5*m**3 + 10*m - 6. Determine -6*b(q) - 7*x(q).\nAnswer: 2*q**3 + 3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*x - 40 + 40 as s + k*x and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**2 + 2*t - 1. Let u be f(-2). Suppose 3*a = n, a - u*a = n - 10. Solve -4*c + c = n for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u + 1. Let z be (4 - (-5)\/(-1))\/(1\/(-1)). Let n be (-42)\/9*z*9\/6. Give q(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q + 21. Let w be b(16). Calculate the highest common factor of w and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**5\/2 - 512*x**4 - 17409*x**3 - 33280*x**2 - 32767*x\/2 = 0. Calculate x.\nAnswer: -31, -1, 0, 1057","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + 11*c - 3. Suppose -3*d = 3, -4*d = -3*k + 24 + 4. Let f be x(k). What is the greatest common factor of 105 and f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 8*w - 27*w + 17*w. Let u(j) be the first derivative of -19*j**3\/3 - 40. Determine u(d(k)).\nAnswer: -76*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - -5. Suppose h = z + 8*x - 4*x, 5*z + x = 27. Is 5 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -55.79009 to one decimal place.\nAnswer: -55.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 3)*3\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r + 390 - r - 193 - 133 - 9*r**2 + 0*r**2 to the form y*r + u*r**2 + a and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -325*-0.5.\nAnswer: 162.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 52 or 53?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -19 and 2.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.2047 to one dp.\nAnswer: -8.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -3*a + 12, p + 2*p = a - 4. Suppose 4*l + 3*k - 125 - 7 = p, 70 = 3*l - 5*k. Let q = l + -17. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2057) + -2 + 2*sqrt(2057) - (sqrt(2057) + -1*(sqrt(2057) + -1))) + 2*sqrt(2057) + 3 + 2)*3)**2.\nAnswer: 1980*sqrt(17) + 462861","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**4\/9 + 40*u**3\/9 - 4*u**2 - 40*u\/9 + 38\/9 = 0 for u.\nAnswer: -1, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 233633\/8 - 29206. Let n = 74 + -677\/10. What is the common denominator of z and n?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, o: 1, c: 2, e: 1, q: 1, d: 2}. Give prob of sequence cqed.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/((-3)\/2))\/1. Let m be (-1 - (-1 + -1)) + k. Let h be 3\/m - 4 - -3. Put 5, h, 1 in increasing order.\nAnswer: h, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/167, -2\/9, 0.9, 1\/2, 3.41.\nAnswer: -2\/9, 2\/167, 1\/2, 0.9, 3.41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cjaa. Give prob of sequence jca.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124 - 128 = -c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 + 53 = -m. Let n = -132.08 + 135. Let w = n + 0.08. Sort 1\/5, w, m in descending order.\nAnswer: w, m, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 332484.\nAnswer: 2, 3, 103, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1101 and 162?\nAnswer: 59454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53*g + 5*g**3 - 53*g)*(-2*g - 2*g + 3*g).\nAnswer: -5*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 < -20651?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/21, 2, -2.8, 0.10933?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4 + 828*j**3 + 179412*j**2 + 3293408*j + 5875776.\nAnswer: (j + 2)*(j + 18)*(j + 404)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17389\/3 - 34721\/6. Let a(k) be the second derivative of -t*k**3 + 11\/4*k**4 + 0 + 27\/2*k**2 - 3\/20*k**5 - 40*k. Factor a(v).\nAnswer: -3*(v - 9)*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 1935*u - 180. Let b(c) = 121*c - 11. Calculate 33*b(i) - 2*h(i).\nAnswer: 123*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**3\/5 + 66841*a**2\/5 - 11074939*a\/5 + 91864815 = 0. What is a?\nAnswer: 83, 66675","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 6*x - 120 = 0. Is 15 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 375 and 5030800.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 11 = 16. Is (114\/g)\/((-2)\/(-15)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 0 - -3 - 2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*a**2*l**2 - 74822*a**2 - 8630*a*l**2 wrt l?\nAnswer: 12*a**2*l - 17260*a*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 6*k + 11)*(3 + 2*k**2 - 3 + (2*k + 4*k - 7*k)*(-2*k + 2 - 2)).\nAnswer: -24*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4308941?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x + 20*x = 25. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) -0.4 (c) -20 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(440) - sqrt(440)*-1*3)\/sqrt(11))\/((1*sqrt(96)*-3)\/(sqrt(84)\/(sqrt(7) + sqrt(7)*-2) - sqrt(12))))**2.\nAnswer: 5120\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of 1\/4*m**4 + 4 + m + 11\/3*m**3 + 5*m**2. Let s be i(-10). Which is greater: s or 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 6283765.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*c**4*g - c**2 + c*g**3 - 137*g**3 wrt c.\nAnswer: 24*c**3*g - 2*c + g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 4)*(-3 - 1 - 3)*(9 - 10 - 1)*(-5*v + 0*v + 4*v)*(-1 + 2 + 0)*(v**2 + 1 - 1).\nAnswer: -42*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 4469954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/10 (b) -14\/11 (c) 5 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13989*j**3 + 13982*j**3 - 41968*j**3 + 13994*j**3.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 2*h - 4. Let z = -3 + h. Let t(a) = 27*a + 1. Is t(z) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -122*r**2 - 15979*r + 402. Calculate k(-131).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 3 - 2 = 5*c, -9 = -m - 4*c for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15855901.\nAnswer: 23, 157, 4391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -1 (b) 11 (c) -0.5 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (30\/(-4))\/((-34)\/(21216\/(-260)))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 7*v**3 + v + 2. Let t(i) = -20*i**3 - i**2 - 3*i - 6. Let w(a) = -17*d(a) - 6*t(a). Does 30 divide w(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 510108202874 + 3.\nAnswer: 510108202877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000735469 rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 177844 (base 9) to base 12\nAnswer: 54127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12872.6 + -12873. Sort 0, s, -4, 0.4, -8 in ascending order.\nAnswer: -8, -4, s, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 16*f**2 + 11*f - 11. Let w(p) = 9*p**2 + 6*p - 6. Let q(y) = -6*o(y) + 11*w(y). Let a(v) = 27*v. Determine q(a(l)).\nAnswer: 2187*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5088 - 3199. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -10) + -6 + 2 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/(-22)*8)\/4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 97*u**2 - 107*u - 856. Give b(-98).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 385751049 to the power of 1\/4, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 297 - 1144 = -11*w. Is w a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) -4\/2333 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42.663441 + 4475.5.\nAnswer: 4432.836559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 41*f + 44 + 46 + 607 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -665, -661, -659, -659?\n\"Answer: -i**2 + 7*i - 671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -150414375 or -150414377?\nAnswer: -150414375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 3*h + 105, -n + 70 = -6*h + 10*h. Solve 24*s = 17*s + n for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1257 - -1256. Let k(c) = -96*c**3 + 3*c**2 + c - 1. Calculate k(y).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/1564 and 123\/649418.\nAnswer: 507844876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15630 is divided by 203.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3054969 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1033 + -7?\nAnswer: 1024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 80 = 11*j. Let a be (-3 - -2)\/(2\/22). Let l = a + j. Calculate the remainder when 9 is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of -s**6\/360 + s**4\/24 + 13*s**3\/6 + 29*s**2. Let m(p) be the first derivative of r(p). Find n, given that m(n) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 8 + 3. Which is smaller: g or 1\/18?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 790 divided by -158\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/14 (b) -68 (c) 5 (d) -237 (e) 11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37376 is divided by 3396?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1573)*-1 + sqrt(1573) + 2 - ((0 + sqrt(13))*2 + (-3*sqrt(13)*-1)**2).\nAnswer: -115 - 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + 22*g - 20. Let n be l(-23). Suppose 0 = o - 5*s + 20 - 7, 0 = 4*o + s + 10. Sort 27, o, n in descending order.\nAnswer: 27, n, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/4, 6, -1\/2, 3, -262\/17, -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o\/(((o\/o**(2\/9)*o*o)\/o)\/o*o))\/o*o*o)\/o)**(-1\/37)*(o**2*o)**(1\/6))\/(o*o**(-2\/13)*o*o**(-13)*o*o)**20 assuming o is positive.\nAnswer: o**(1589591\/8658)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*m + 10*m. Suppose 5 = h + 4*h, -5*v - 2*h + 27 = m. Let s be (49 + -49)*(-1)\/(-4)*2. Solve s = -4*n + 5*g - 32, -2*g + 4*g - 23 = v*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -w - 5*m, -3*w = -w - 2*m - 18. Suppose 6 - 21 = -w*p. Let b = 24 - p. Is b 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 (1\/1)\/((-6)\/(-90))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*t - 36 - 41. Does 2 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 89, 194, 301, 410, 521, 634, 749?\nAnswer: 866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1468407, -1468413, -1468423, -1468437, -1468455?\nAnswer: -1468477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 5*b**2 + 3*b - 7. Let z(x) = -x**2 - 6*x + 14. Let t be z(-8). Let y be ((-92)\/115)\/(t\/(-10)). Determine s(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -784*w**2 + 65*w - 185*w + 66*w + 53*w to c + p*w**2 + i*w and give p.\nAnswer: -784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 400, 389, 364, 319, 248?\n\"Answer: -x**3 - x**2 - x + 403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tvptpvltkvvkl. Give prob of picking 1 v, 2 k, and 1 t.\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 3 (b) -5 (c) 1 (d) 0.038\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n**3 + 11*n**2 - 7*n - 16. Let s be (66 - 68)\/((-1)\/(-2)). Let y be r(s). Which is the closest to 2? (a) 0.2 (b) 1 (c) 2 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 4946*h**2. Let q(o) = -2*o - 254. Determine q(m(c)).\nAnswer: -9892*c**2 - 254","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 2, x: 7}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*k - 3*j, -k + 3*j - 12 = -2*k. Solve 3*c - 8 = d + k, -3*c + 7 = d for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 4 + -1*sqrt(539))**2.\nAnswer: -98*sqrt(11) + 588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + -3 + (sqrt(7200) + sqrt(7200)*2)**2 + 1).\nAnswer: 323980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12380 + 10682 + 12541 = 583*p - 16558 for p.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + a - 4*a)*(0 + 0 - 1) - 3 + 3 + 5*a + (-a + 0*a + 2*a)*(-6 + 2 + 3) + 0*a + 2*a + 0*a.\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(-6\/7)*o))\/(o\/o**(-18)*o) assuming o is positive.\nAnswer: o**(-134\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181 = -12*a + 3121. Suppose -14*c + 1155 = a. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*c - 209 + 5. Let w be 37\/6*3 - (-51)\/c. Solve -16 = -p - w for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0\/2 + -1)*-3. Suppose s*m - 18 = 15. List the prime factors of m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 23667 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + 1 - 1 + (-4 - 1 + 3)*(-n + n + 2*n))*(-n**4 + 0*n**4 + 5*n**4).\nAnswer: -8*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 389130 and 210.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4851?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/89? (a) -1 (b) -1\/5 (c) 3\/19 (d) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67347?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32743915, -32743913, -32743911?\nAnswer: -32743909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 11*p. Is t(3) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -13*u + 14*u + 2, 3*u = -3. Let b be 4 + a*2\/(-4)*0. Solve 3*m + b = -2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66015583 is divided by 2750649?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qttttqqtqttttttttt. Give prob of picking 1 q and 2 t.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1684*z - 837*z + 1560*z - 4 + 4 + 2*z - 4 - z + 4 + (0 + 0 + 2)*(1 + z - 1) - 1 + 1 - z.\nAnswer: 2409*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 280935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 138.8 + 444.2. Let w = -580 + s. Sort -1, -6\/11, 0.2, w in decreasing order.\nAnswer: w, 0.2, -6\/11, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-148)\/(-16) - 9 - 287\/(-4). Let y be ((-3)\/2*24)\/(16\/24). Let a be (l\/y)\/((-2)\/11850). What is a rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-36)\/(-15))\/((-1)\/(-5)). Let o = 2 + y. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i**3 + 12*i + 12. Let p(s) = s + 1. Suppose 0 = -2*q - 0*q + 2. Suppose q = h - 3*j - 2, 5*j = -3*h + 51. Calculate h*p(l) - r(l).\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 2, 3, 0, 404 in decreasing order.\nAnswer: 404, 9, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 29454980 = 5*r + 3*c, -r - 4*c + 5890980 = 0. What is r rounded to the nearest 100000?\nAnswer: 5900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(19) + 1)*-5.\nAnswer: -25*sqrt(19) - 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 11:23 PM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1204981? (a) -0.2 (b) -30 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from taada. What is prob of sequence aaad?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/16 and -85\/258.\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((sqrt(121)\/sqrt(44) + sqrt(11))**2 - sqrt(11))*-3 - ((-1 + sqrt(539))**2 - (-2 + (sqrt(11) - sqrt(99))))).\nAnswer: -2457\/4 + 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + v. Suppose 20 = o - v*o. Suppose r + 3*j = 32, 124*r + 86 = 128*r + 5*j. What is the least common multiple of r and o?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 991454.5 centuries?\nAnswer: 9914545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10*(9\/(-6) - -2). Let w be (-6)\/c*10\/(-4). Suppose 0 = -21*m - 25298 + 25361. Solve 0 = 4*v + w*o + o, 0 = 4*v - m*o + 14 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -385, -399, -413, -427?\nAnswer: -441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2140 (b) 3\/7 (c) -1 (d) -0.3 (e) 0.07 (f) 137 (g) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d. Let v(u) = 100*u - 164. Let h be ((-1)\/5)\/((-158)\/10 + 16). Let c(j) = h*v(j) + 3*b(j). What is the derivative of c(f) wrt f?\nAnswer: -91","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 425.8 rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -2*q**3 + 2390*q**2 - 736176*q + 13138272 = 0.\nAnswer: 19, 588","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -12*c**4 + 22*c**3 + 12*c**2 - 12*c. Let g = -111 - -110. Let q(n) = -n**4 + n**3 + n**2. Let v(j) = g*p(j) + 10*q(j). Solve v(x) = 0 for x.\nAnswer: -1, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -95*q**3*t**2 + 5*q**3*t + 2*q**3 + 26*q**2*t + 3*q*t**2 wrt t.\nAnswer: -190*q**3 + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11312 (base 4) to base 13.\nAnswer: 22a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7828496862?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 10:00 PM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 262303544?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a hour in seconds?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -85777 * 0.1038\nAnswer: -8903.6526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 4)*(86*s - 137*s - 2 - 66*s).\nAnswer: -585*s - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -27156*s - 1982623. Give d(-73).\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1092*u**5 - 58*u**3 - 445720*u**2?\nAnswer: 65520*u**2 - 348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -510.75 + 510.690127. Let w = -0.06 - r. What is w rounded to 5 dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1154187 at least -1154050?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 13*k - 1. Let f(a) = -3*a. Let v(i) = -9*f(i) - 2*u(i). Let w be 7 - (-2)\/(4\/(-6)). Calculate the lowest common multiple of 2 and v(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -22, -0.21, 5, 24, -1\/4.\nAnswer: -22, -1\/4, -0.21, 3, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1379261 and 221.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of w**9\/3024 + w**5\/10 - 17*w**3\/3 - 4. Let r(s) be the third derivative of o(s). What is the second derivative of r(f) wrt f?\nAnswer: 20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1073\/4 + -267. Let v = 1339\/2240 - -1\/448. Put -0.4, 0.3, v, c in increasing order.\nAnswer: -0.4, 0.3, v, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/(-4) - (-441)\/56 and 2\/5 - (-2545)\/(-50)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 6) in base 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/(-2) + (2*-3 - (-12)\/(-12)). Let o = 1.5 + -2. Which is the biggest value? (a) g (b) -1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 216 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 420060504?\nAnswer: -42006050.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of 0*s + 0*s**3 - 1\/150*s**5 - 4\/525*s**7 + 0*s**4 + 0 - 1\/60*s**6 - 3*s**2. Solve x(h) = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - 6792\/(-684))\/(-2).\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 862956?\nAnswer: 1725912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 63 = -4*t, -h - 7 = -10 for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*g**4 + 0*g + 0*g**2 + 2*g + 2*g**2 + g**4 + 8773*g**3 + 7 - 8775*g**3 in the form k*g**2 + w + f*g + o*g**3 + p*g**4 and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*k + 22*k - 105*k - 2*k**2.\nAnswer: -2*k**2 - 130*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -5, -1, 24, 42 in ascending order.\nAnswer: -5, -3, -1, 2, 24, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -c7?\nAnswer: ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 11, -6, -55, -136?\n\"Answer: -16*s**2 + 31*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 341\/22613?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1)*m)**44)**(24\/5) assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 59900 and 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2152987 and 158?\nAnswer: 4305974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 2:18 AM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vwvwvwnavvvnxaw. What is prob of picking 1 v and 1 n?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 4 + 0*p - p + 5*p - 5*p. List the prime factors of t(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148 is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m**3 + m**2 - 6*m. Let a(i) = 2*i**3 + 2*i**2 - 5*i. Calculate -4*a(v) + 3*u(v).\nAnswer: v**3 - 5*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/(-35) - (3 - 124\/14). Let d(b) = -4 - 8*b**2 + 8*b**3 + b + 3*b + 2 + k*b**2. Calculate the smallest common multiple of 58 and d(1).\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - -4*-2*sqrt(77))\/(sqrt(252) - (sqrt(252) - 1*sqrt(252))) + 3 + -3.\nAnswer: -7*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 5124.\nAnswer: 5124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 21*t**2 - 19*t - 27. Calculate x(20).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 12) in base 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 - 4)*(18 - 18 + 30*w) + (-2*w + 4*w - w)*(-2 + 10 + 1).\nAnswer: -261*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 3*t + 2535, n - 4*t + t - 519 = 0. Suppose -i - 3*i = -n. Suppose 0 = -3*j + 24 + i. Does 18 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 14 = 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -58 + 120. Is 2 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -32, -28, -24, -20?\n\"Answer: 4*a - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 19940549 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81, 382, 613, 738, 721, 526?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) -8 (b) -4 (c) 2\/7 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -95.\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 3. Let n be (1\/u)\/((-3)\/2). Let h = -3.3 + 3. Put h, -0.1, n in decreasing order.\nAnswer: -0.1, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3100103739 rounded to 2 dps?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00438374 rounded to 4 dps?\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2921 + -2912. What is the closest to 0.1 in l, 1, -21, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 12:19 PM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*c - 264 + 264 + 5*c - 12*c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*m**3*q**2 + 4239271*m**2*q**2 + m*q**2 + 21*m*q - 85*m + 14*q**2 - 2*q - 12 wrt m.\nAnswer: 30*m*q**2 + 8478542*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*v = -2*v, 0 = -5*u + 4*v. Let r be -1 - (-12)\/(u + 4). Let n be (-1)\/3 - (-1)\/3. Put n, r, 4 in decreasing order.\nAnswer: 4, r, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -168, -375, -582?\n\"Answer: -207*o + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(-6))*l\/(l*((l*l**(-2)*l)\/l)\/l))**(-43) assuming l is positive.\nAnswer: l**(-344)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = 4*l - 5, -3*i - 2*l - 5 = -6*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -12 - 15 - -42 - (21 - -1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 7*q + 3*h - 600, 2*q - 4*h = 240. What are the prime factors of q*(-4)\/(-20)*(-2 - -4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 2:49 PM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*3 - (-10)\/5*4. Put f, 3, -2, -5 in increasing order.\nAnswer: -5, -2, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 - 47 = 11*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -466, -482, -484, -478, -470?\nAnswer: -466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -1 - (-18 - -24)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1813, 1820, 1827, 1834, 1841?\nAnswer: 1848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -s**5\/35 - 12*s**4\/7 - 60*s**3\/7 + 5400*s**2\/7 + 5544. Factor c(i).\nAnswer: -i*(i - 12)*(i + 30)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 468*r + 455*r**2 + 15*r**2 - 103*r**2 - 468*r.\nAnswer: 367*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 10:32 AM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m - 10. Let n be v(3). Suppose -5*o - 3 = n*d - 3*d, -4*o + 20 = 2*d. Put d, 4, 0, 0.3 in ascending order.\nAnswer: 0, 0.3, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*m**3 - 6*m**2 + 81*m**3 + 0*m**2 + 6*m**2 - 5*m.\nAnswer: 4*m**3 - 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -232958, -232956, -232954?\n\"Answer: 2*m - 232960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -6. Suppose s = -3*q + 40, i*q + 4*s - 17 = -q. Calculate the remainder when 37 is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of 0*a**4 + 0*a**3 + 2*a**2 - 1\/10*a**5 + 0*a + 0. Let i(j) = -2*j**2. Determine i(h(f)).\nAnswer: -72*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - t = -2*z - 3, 3*z - 2*t = -6. Solve -5*a + 2*r + 1 = 2, -a + 3*r - 8 = z for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 4*l + 16, -i + 344*l + 23 = 349*l. What is the nearest to 0.1 in -5, 0.031, -0.3, i?\nAnswer: 0.031","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (3 - (1 - 3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 11 - 41*r**2 - 7.\nAnswer: -41*r**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 - ((-4)\/(-10) + 3726\/(-40)). Let p = u - 97. Solve j**3 + 2*j**4 + 0*j**2 + p*j**5 + 0 + 0*j = 0 for j.\nAnswer: -2, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 106033?\nAnswer: -106030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -191 - -428. Suppose -10*x + 715 + 1655 = 0. Is b >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 114 - 100. Solve -4*d + l = 2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 295983 divided by -967\nAnswer: -295983\/967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 303*c - 8. Let s be m(2). Let d = -406 + s. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17*184\/2346*-3*(2 + -24)\/1.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4, -1\/20, 1.5, 0.3, 0?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 34?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 - -17. Let l(o) = o**2 + 3*o + 6. Suppose -3*y + 4*y - 10 = 0. What is the smallest common multiple of y and l(m)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*i = -4*h - 31*i, -3*h - 43*i = 4*i for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (40\/(-12))\/((-48)\/(-72))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -15 + -3e?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3578 and -1585.\nAnswer: -5671130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 3*a + 334, -n - 7*a = -2*a + 167. Let w = 245 + n. Is w a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -k + 15. Let x(q) = 12*q - 23. Let r be x(-5). Let i = 97 + r. What is the smallest common multiple of i and k?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5*f = 8. What is the remainder when (-346)\/(-12) - 1\/(-6) is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26\/(-520))\/(2\/8)*2.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -4*i - i**2 + 3*i**2 - 6*i**3 + 8 - 3*i. Suppose -2*v = -0*v + 12. Let o(h) = 5*h**3 - 2*h**2 + 6*h - 7. Give v*t(w) - 7*o(w).\nAnswer: w**3 + 2*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express c**3 - 10*c - 11*c + 22*c + (0*c**2 - 2*c**2 + c**2)*(-c + 4 - 4) + 2*c**3 - c**3 + 0*c**3 as z + b*c**3 + x*c + d*c**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -295674*k**3 - 4*k + 4 - 1 - 3*k**2 + 295680*k**3 + k**2 + 2*k. Suppose 0 = 4*g + 4 - 12. Is d(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 12:33 AM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 632536.7 centuries?\nAnswer: 63253.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186 is divided by 116.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15 or 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 11) to base 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence huuu when four letters picked without replacement from {w: 1, h: 16, u: 3}.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d - 5007 - 6456 - 5*d + 11*d + d.\nAnswer: 2*d - 11463","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + p = 24, -2 = 2*t - 2*p - 14. Let k(w) = -w**3 - 11*w**2 - 2*w + 185. Let m be k(-7). Solve -m*l = t + 6 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 210581?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7089, 14205, 21321, 28437, 35553, 42669?\n\"Answer: 7116*n - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4828.53 tonnes in micrograms?\nAnswer: 4828530000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33390 and 1337.\nAnswer: 6377490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*i - 5 + 122*i - 20*i - 32*i - 23*i - 22*i.\nAnswer: -i - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 2*h - 57. Suppose n = 2*d - 2*n - 13, -2*d - 3*n = -h. Solve j = -j + d for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 12.172?\nAnswer: -48.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8104, 8102, 8100, 8098, 8096, 8094?\nAnswer: 8092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -0.12.\nAnswer: 0.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 11:35 AM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a kilogram in grams?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2646 and 10746.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -s**5\/10 + 326*s**4\/3 - 217*s**3 + 30*s - 48. Solve a(k) = 0.\nAnswer: 0, 1, 651","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1627, -3289, -4937, -6577, -8215?\n\"Answer: -q**3 + 13*q**2 - 1694*q + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 23*d**2 + 65*d + 29. Give l(-20).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away 114.873633?\nAnswer: -119.873633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10.83000811 - -10.83. What is b rounded to 7 decimal places?\nAnswer: -0.0000081","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148 + 44 - 136 = 30*h for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 - -47. Suppose -10*t = -6*t - u. Calculate the greatest common factor of t and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -10*v + 26. Let n be b(11). Let p = -422\/5 - n. Is -1 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*y + 17 + 111 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1846460, 13, 3 in ascending order.\nAnswer: 3, 13, 1846460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41 - -61. Suppose 4*j - y = 0, -2*p - 3*j + 4 = -5. Let r be p\/12*(-36)\/3. Solve -z = 3*o + 1, r*z + 3*o - 4*o = 17 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 526 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*q = -15 - 99. Let s be (-2 - -2)\/(-3 + q - 1). Solve s = -5*r - 0*r + 15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4 + ((sqrt(8) + -2)**2 + sqrt(2))*2)*1.\nAnswer: -168 + 84*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10680\/(-2403) + (-8)\/(-18). What is the nearest to -0.1 in -3, i, -1, -31\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -3. Let a = 0 - d. Let w be (a + 22\/8)*44. What is the greatest common divisor of w and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 4*c - 18. Let i(x) = x - 1. Let v(z) = 3*i(z) - r(z). Let n be v(14). Let u = n - -3. Solve -p = -0 + u for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -1. Let n = l + -1. Let u(w) = w**3 + 10*w**2. Let d be u(-10). Sort d, n, 5.\nAnswer: n, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(900) - sqrt(25))\/(3*sqrt(5)*5) + (sqrt(245)\/(sqrt(56)\/sqrt(8)))\/(sqrt(7) - sqrt(847)*2).\nAnswer: -18*sqrt(5)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -231 (base 7) to base 16.\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of w**5\/20 - w**4\/3 - w**3\/3 + 3*w**2 - 3*w. Let r be a(4). Let v = 0 + 0.2. Is r != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 190, 369, 544, 721, 906?\nAnswer: 1105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 170857417.5us to weeks.\nAnswer: 0.00028250234375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251750534 is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3\/4 - 351*x**2 + 1383*x + 4176.\nAnswer: 3*(x - 464)*(x - 6)*(x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 275*v**2 - 2 - 552*v**2 + 2156*v + 276*v**2 to the form j*v + u + t*v**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 8*f - 7. Let b be o(12). Let j = 109 - b. What is the highest common factor of 340 and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - c - 3*c)*(3*c + 3*c + 0*c + (7 + 2*c - 7)*(3 - 2 + 2) - 2*c - 2*c + 6*c).\nAnswer: -28*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -4*z - 14. Suppose 37 - 9 = 4*d + 4*b, -2*d + z*b = -4. Is (-120)\/(-25) - 5 - (-1866)\/d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.01765 and -3.9839.\nAnswer: -3.96625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -8, -18 = 4*y + 4*u - 6. What are the prime factors of 180 - y*(-2 - -4)?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34763 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: Calculate the greatest common factor of 71599 and 253.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -3*f + 6. Let l be r(2). Let v(u) = -1 + l - 10*u - 4 + 0. Let o(m) = 15*m + 8. What is 5*o(z) + 8*v(z)?\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 554 - 1337 = 0. Calculate the greatest common factor of q and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**2 - 11 + 14 + 6*h**2 + 19*h**2 to l*h + o + b*h**2 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) -4 (b) -3 (c) 646 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 88 - 1318\/15. Let c be (((-24)\/(-10))\/((-5)\/((-225)\/27)))\/(-1). What is the closest to -0.1 in c, 0, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x**3 + 2*x - 2. Let q(h) = h**2 + 5*h. Let l(c) = 2*c**2 + 9*c. Let k(n) = 6*l(n) - 11*q(n). Give -2*k(m) - r(m).\nAnswer: 2*m**3 - 2*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -907.2318 - -0.5.\nAnswer: -906.7318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.473652309 rounded to one dp?\nAnswer: 8.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -12. Let r = 12 - 17. Let m = -2 - 0. What is the biggest value in r, c, m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2.416 and -0.1.\nAnswer: -2.516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9107 and 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 4*a**2. Let z be j(2). Suppose y = 11 - z. Suppose 3*w = y*p + 201, 3*w - 2*w - 57 = -p. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from npnpnpoononopnnpp. What is prob of picking 2 o and 2 p?\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1*(sqrt(175)*3 - sqrt(175))**2.\nAnswer: 705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y + 20. Let r(z) = -z**3 + 4*z**2 + 3*z - 2. Let h be r(4). Let k be n(h). Solve 6*i = i + k for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.65 - -2.25. Let j = 2.4 + p. Let f be (-10)\/(-12)*(-12)\/45. Which is the closest to j? (a) -1\/3 (b) f (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20824, -20824, -20814, -20788, -20740?\nAnswer: -20664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.152 + -2.848. Put -3\/5, z, -3\/8 in decreasing order.\nAnswer: -3\/8, -3\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 - -0.11. Let w = 49 - 48.89. Let t = w - r. Which is the nearest to t? (a) 0 (b) 2\/13 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 37639499 to the nearest 10000.\nAnswer: 37640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/2*(-6)\/1. Suppose -55 - 29 = -7*c. Is c greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 137291*g**2 - 1300*g - 2603. Is n(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 4 + 76 = 0. Is 5 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**2 - 2*x + 2*x)*(0*x**2 - 5*x**2 + 4*x**2)*(0 + 2*x + 0)*(111 - 90 + 74)*(-6 - 1 + 1).\nAnswer: 3420*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 869571684 to the power of 1\/6, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3159\/11 + -287. Let y = -701.9906 + 702. Let u = 0.0906 + y. Is u less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -112, -2251 in decreasing order.\nAnswer: -13, -112, -2251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i**(2\/9)\/i*i)*i*i**(-3)*i*i*i\/(i**(8\/3)\/i)*(i**(-5\/4)*i)\/i assuming i is positive.\nAnswer: i**(-41\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -3\/8*y**4 + 3*y**2 + 1\/2*y**3 + 0*y + 3\/20*y**5 - 1\/40*y**6 + 0. Factor h(s).\nAnswer: -3*(s - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1992 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 22616613, 22616614, 22616615, 22616616, 22616617?\n\"Answer: a + 22616612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + j - 8 = -2*s, s + 3*j = 9. Let i(g) = g**3 - 2*g**2 - g - 1. Let m be i(s). Find the second derivative of -d**5 + 3*d - d + 3*d**m wrt d.\nAnswer: 40*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a day in minutes?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -20. Suppose -b + t = -21. Is b a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -235, 6, 4.\nAnswer: -235, -3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1047719 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9978360 + 4?\nAnswer: 9978364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + o = -d - 109, -4*d - 3*o = -141. What is the remainder when d is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*l - 9*l + 3 = 6*l + 10*w, -3*l - 33 = -6*w for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 271 + 65 = -f, -4*w + 2*f = 324. Let g = 121 + w. 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: -31ce (base 16) to base 6\nAnswer: -135010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1528862, 3057102, 4585342, 6113582, 7641822?\nAnswer: 9170062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -5. What is the second derivative of -6*a**5 + a**5 + h*a + 4*a**5 wrt a?\nAnswer: -20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -18055*c - 13898. What is the hundreds digit of w(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of -n**6\/120 - n**5\/12 + 7*n**4\/24 + 7*n**3\/6 + 13*n**2. What is l(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 9*x**2 + 8*x - 5. What is the units digit of u(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1192 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q**5 + 4*q**5 + 0*q**5)*(1 - 2 + 3) + 0*q**2 - 2*q**5 + 0*q**2 + (-q**2 + q**2 + q**3)*(-3119*q - 1588*q**2 + 3119*q).\nAnswer: -1592*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -23, 3, 41?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2371a (base 11) to base 5\nAnswer: -2043033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 386 = 2*b + 384 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 2. Let j = 2.3 + 8.7. Let g = j + -11. Sort 1, q, g in increasing order.\nAnswer: g, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54337 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.37 and -0.39.\nAnswer: -0.1443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 9:01 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 99356100, 198712197, 298068294, 397424391, 496780488?\n\"Answer: 99356097*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 496*j - 328*j + 736*j + 8914 = 66770 for j.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 156740.4 tonnes in micrograms?\nAnswer: 156740400000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - 31*d**2 + 66*d + 3. Let j be c(-33). Solve -g - j*t = 0, 4*g + g - t = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4069*j + 5301*j - 3587*j to the form r + n*j and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2021*h**3*x - 16*h**2*x + 16*h**2 + 1 wrt h?\nAnswer: -12126*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.809 and -19.\nAnswer: -21.809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3436 = 11686. Let y = -2697 + g. Suppose w = -2*d + 15399, -y + 16829 = 2*d - w. Round d to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -3, -1\/6, 21\/8, -1\/3, -81\/8?\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*b - 132 = 117. Let h(p) = -p**2 + 16*p + 8. What is the remainder when h(16) is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 2:10 AM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*j**2 + 3*j**2 - 5*j**2)*(3*j + 2 - 2)*(0 - 2*j + 0) to the form s*j**4 + t + i*j**3 + u*j + y*j**2 and give s.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4*c + 449. Let r(o) = -2*o - 20. Let d be r(-10). Let n be a(d). Let z = n - 231. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of -q**7\/1365 - 67*q**6\/390 - 35*q**5\/26 - 163*q**4\/39 - 20*q**3\/3 - 75*q**2 - 17*q. Solve o(v) = 0.\nAnswer: -130, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, 55, 60, 65, 70?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fgp when three letters picked without replacement from {p: 1, b: 2, g: 5, j: 1, f: 1}.\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/27 (b) 3\/2 (c) -5\/11 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/9 (b) -0.5 (c) -1\/10 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 8 = -5*l, 3*l - 4 = -5*h - l. Calculate the smallest common multiple of 2\/(-6) + (-93)\/(-9) and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 336 is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-94)\/(-42) + (-1410)\/(-4230).\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 85 and 137972.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 42, 7, -28, -63?\n\"Answer: -35*j + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 3 - 3)*(-2*v + 29*v - v) as r*v + l and give r.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132*f**2 - 125*f**2 + 257*f**2 - 2*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.74 (b) 179 (c) -9.55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 626167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 214489529?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 8, 224, -1\/13, 0.5, -2, 3.4?\nAnswer: 224","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of b**3\/3 + b**2\/2 - 1. Suppose -2*n + z + 0*z = 12, -5*n - 3*z - 41 = 0. Let i be n\/28 + 3\/(-4). Calculate m(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + 13*s. Calculate m(13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + 65. Suppose 84 = 9*d - j. Let t = 9 + 57. What is the remainder when t is divided by d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1627 + 0.1711. Which is the biggest value? (a) -3\/4 (b) -4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 961*f + 2410 - 8669 - 2006 - 9033 = 0 for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15897 - 5357285\/337. Let u = -30659\/674 - z. Find the common denominator of u and 150\/(-40) - 2\/(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 437 = 22*z + 85 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -62 times 0.09177\nAnswer: -5.68974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l. Let z(v) = v. Let k(x) = 3*h(x) - 8*z(x). Let d(m) = -2*m**2 - 2*m**2 + 0*m**2 + 2*m**2. Determine k(d(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8341642.\nAnswer: 2, 311, 13411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/((-55)\/(-88)))\/(((-280)\/(-2730))\/(20\/6)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/848484309 or 1?\nAnswer: 2\/848484309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 0 - 3*v + 1 + 4 + 2*v. What is i(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + 4. Let x = -28590 - -28590. What is the closest to 1 in 4, m, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 3:12 AM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 164\/(-10) + 8\/20. Let s be y\/14*5\/(-10). Find j, given that 22\/7*j + s - 40\/7*j**3 + 2*j**2 = 0.\nAnswer: -2\/5, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000035427444 to seven dps.\nAnswer: 0.0000354","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 10684*m - 1015132. Calculate d(95).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20308752 divided by 12?\nAnswer: 1692396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8211 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 598 = 318*l - 272*l for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1558*m**3 - 1549*m**3 + 13*m - 3*m.\nAnswer: 9*m**3 + 10*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1 + (sqrt(242) - (sqrt(242) + (sqrt(242) - (sqrt(242) - (sqrt(242) + -1*sqrt(242) + sqrt(242)))))))**2.\nAnswer: 22*sqrt(2) + 242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4*t - 8 = 0, -6 = 2*k - k - 3*t. What is the remainder when 3 + 34 + k + 1 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24277 + -24271. Let k(q) = -28*q - 3. Let g(r) = 27*r + 2. Give i*g(m) + 4*k(m).\nAnswer: 50*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a hour in seconds?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-248)\/(-465))\/(8\/9)*2\/(-10)?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**2 + 48*v - 1. Determine r(-24).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 313, 623, 927, 1225, 1517, 1803, 2083?\nAnswer: 2357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-477)\/(-424))\/((-6)\/(-8)))\/(3\/18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89396422?\nAnswer: 2, 257, 173923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/2160 and -107\/400.\nAnswer: 10800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 159133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -4*y**2 + 79. Let t(h) = -h**2 + 20. What is -2*a(q) + 9*t(q)?\nAnswer: -q**2 + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - 4*l + 7. Calculate m(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 121032?\nAnswer: 121033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 58 - 18. Let a = -8 + 16. Suppose a*d - j = 3*d - 5*f, -4*f + 20 = d. Calculate the lowest common multiple of 14 and d.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3696)\/(-770)*15\/204\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1439 + 1218 + 3419 + p - 11 + 1645 to the form v*p + q and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50848 and 448.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/11))**27\/(((a\/a**10)\/a)\/a**(8\/7)) assuming a is positive.\nAnswer: a**(480\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-99 + 99 - 72*r**2)*(0 + 0 + 3)*(2*r - 3*r + 0*r).\nAnswer: 216*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -57, -5, 1.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 4*o = 0. Let u be 2\/(-8) + 10\/8. Suppose -q + 17 = 2*n, 2*n - 4*q = 3 - u. Solve -5*p = -4*w - 9, 3*p - 2*w = -o*w + n for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1953.183 decades to months.\nAnswer: 234381.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6035, 11971, 17891, 23783, 29635?\n\"Answer: -2*v**3 + 4*v**2 + 5938*v + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 11\/2 of a tonne?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -69312*b + 28803*b + 32192*b as u*b + n and give u.\nAnswer: -8317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 17648 and 89993.\nAnswer: 107641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -469266, -1876988, -4223180, -7507842, -11730974, -16892576, -22992648?\n\"Answer: -469235*b**2 - 17*b - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9317, -9158, -8989, -8804, -8597?\nAnswer: -8362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/(-8))\/(6\/32). Let q be (12\/y)\/(2\/4). Let a(v) = -v**3 - 3*v**2 - v + 2. Give a(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 295958164 to the nearest integer?\nAnswer: 666","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-14)*(-252)\/(25 - 34).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2192 is divided by 1088.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-33)\/12 + 1\/(-4). Let c(t) = t**2 - 7*t + 7. Let w = -9 + 15. Let q be c(w). Sort q, -1, z in ascending order.\nAnswer: z, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -877355*c - 57*c**3 - 2 - 4*c**4 + 877376*c - c**2 + 4*c**3 to the form j + p*c + d*c**4 + x*c**2 + b*c**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -7\/23 (c) 53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 838 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 95172*q + 475766. Determine j(-5).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*t**3 - 7 + 7)*(1 - 1 + 2*t) + 0*t**4 + 2*t**4 - 4*t**4 + 0 + 2*t**4 + 0 to c + v*t + d*t**2 + g*t**3 + i*t**4 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3644 (base 15) in base 14?\nAnswer: 42c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/42 and -27\/575?\nAnswer: 24150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 38*j + 2 = -37*j, -2*j - 1 = 3*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-5 + 4)\/7)\/((-2)\/(-4)). What is the nearest to j in 0.3, -1\/7, -3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 2*y = -0*q - 4, 5*q + 17 = 3*y. Let a = q - -4. Let k = 9 - 9. Solve -6 = -k*u - a*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 618?\nAnswer: 1854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4921450 to the power of 1\/2, to the nearest integer?\nAnswer: 2218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*w - 4 = -91*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 14670\/5542*(-476)\/12\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6324.289 kilograms to nanograms.\nAnswer: 6324289000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, k: 1, u: 1, l: 1, a: 1, q: 2}. What is prob of picking 1 u and 1 v?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 45826.23 minutes in microseconds?\nAnswer: 2749573800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 410*b**3 + 13*b**2 - 42*b + 7. What are the prime factors of k(3)?\nAnswer: 2, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/8*(-3)\/10.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -17068\nAnswer: 1\/8534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -4*r**2 - 14*r - 25. Let b be g(-9). Let c = b - -307. What is the greatest common divisor of 36 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -384 (base 10) to base 3\nAnswer: -112020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7a465 (base 14) to base 7\nAnswer: 2345355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 7 = -4*s + 87, 2*n = -3*s + 73. Suppose 2*o + 5 = s. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*p + 2*s = 79*p + 10, 0 = 5*s - 15. Let x(w) = -w**2 - 4*w + 4. Let y be x(-4). Suppose -26 = -2*c - 6. Solve -p*g + y*g = c for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of -t**5\/60 + t**4\/3 + 7*t**3\/6 - 72*t. Let f(x) be the second derivative of k(x). Give f(10).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -4933*v + 6. Let w(n) = 3698*n - 4. Let h(l) = 7*c(l) + 9*w(l). What is the derivative of h(x) wrt x?\nAnswer: -1249","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24637 + 24633.9686. Round o to 1 dp.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -200*o**3 + 3*o**2 + 5*o - 3. Let c(b) = 2*b - 1. Let m(n) = 4*c(n) - d(n). What is the hundreds digit of m(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m - 3. Calculate b(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 5:08 AM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -3*d, 4*y - 5*d - 32 - 5 = -56 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 354941 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 2*s**5\/7 - 148250*s**4\/7 - 16026552*s**3\/7 - 82448928*s**2 - 6926829696*s\/7 = 0.\nAnswer: -36, 0, 74233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8827, 49166, 116399, 210526, 331547?\nAnswer: 479462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1413127 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 189206105 to the nearest integer?\nAnswer: 574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -5*s - 35. Let u be o(-11). Suppose 33 = -3*y + k, 3*k - 19 = 4*y + u. Let c be (-48)\/y*10\/8. Put c, 0, -4, -5 in ascending order.\nAnswer: -5, -4, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-8)*s*s**(-7))\/(s*s**(-8)*s**(-7\/6)) assuming s is positive.\nAnswer: s**(-35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6 (b) 0.4 (c) -2\/37 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(66)\/((-1*sqrt(48))\/sqrt(8)) + -1.\nAnswer: -sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 163 - 163.1. What is the second biggest value in p, -3, 3, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccutcdttuuttcucc. What is prob of picking 1 t, 1 u, and 1 c?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*(-1)\/(-3) - -2. Find the third derivative of 2*v**r + v**4 + v**4 - 3*v**2 - 2*v**2 wrt v.\nAnswer: 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -56*z**3 - 12*z**2 - 105*z + 5. List the prime factors of c(-6).\nAnswer: 7, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**(-8)*l*l)\/l*l*l)\/(l**(2\/27)*l)*l*l**(-8)*l**(20\/9)\/l assuming l is positive.\nAnswer: l**(-266\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -26\/9*g**2 + 16\/3*g - 2\/9*g**4 + 0 - 20\/9*g**3 = 0.\nAnswer: -8, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 24\/2*(-1)\/(-3). Suppose 14 = i*u + 6. Suppose -j - 60 = -5*n + 114, 5*n = u*j + 173. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, z: 9, n: 1, o: 2, w: 2, d: 3}. What is prob of sequence zz?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5837992?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus -234.39?\nAnswer: 230.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 12392820 divided by 10242\nAnswer: 1210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6355655 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 27434357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 282.\nAnswer: -56.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -8*k**2 + 1783*k - 1558. Give b(222).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 623\/(-14)*-2*(2 - 30\/18). Is i greater than or equal to 30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2211?\nAnswer: 3, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -6*h**2 + 8*h + 6. Let z = 8498 + -8491. Let b(s) = -5*s**2 + 7*s + 5. Determine z*b(v) - 6*p(v).\nAnswer: v**2 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x**3 - 72*x**2 + 19*x + 37. List the prime factors of n(24).\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16)\/(-4) + 2 - (-1092)\/2 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -147668 (base 9) in base 4?\nAnswer: -112031000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, j: 2, b: 2, r: 7, i: 4}. What is prob of picking 1 j and 2 c?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -441576000 rounded to the nearest one million?\nAnswer: -442000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 30384628039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-14)\/4)\/(1\/(-2)). Let q(i) = -i - i**3 + 1 + y*i + 0*i - 3*i**2. Let z(d) = d**2 + 6*d + 4. Let h be z(-4). Calculate q(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 5:17 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3086\/3845 - 2\/769. Suppose 3*c + y + 3 = 0, -4*y = 2*c - 5*c - 3. What is the third biggest value in -0.1, r, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/29624)\/(12\/16). Let d = p - -22376\/292537. Suppose 16*r + 64477 - 64493 = 0. Is r at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) 5 (c) -7\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 + 0 = -10*m for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 119 - 82. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 387*u = 901*u + 5140 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rbbrrbb. Give prob of picking 2 b.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36152387 is divided by 161.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10662*f + 10663*f = -y - 26, -20*f - 543 = -3*y for f.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2080374.\nAnswer: 2, 3, 109, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -473 divided by -11?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3 + 575*b**2 - 574*b.\nAnswer: -b*(b - 574)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 425196384*b**5 - 754053830*b**2 wrt b?\nAnswer: 25511783040*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**4\/r**(-2\/31)*(r**(-10))**(-13) assuming r is positive.\nAnswer: r**(4156\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+-8568.445\nAnswer: -8568.745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -f**4\/12 + 2*f**3\/9 + 10*f**2\/3 + 8*f + 195. Factor w(q).\nAnswer: -(q - 6)*(q + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 17205*p. Let j(n) = 555*n. Let t(z) = 185*j(z) - 6*q(z). Let a be t(-2). What is a rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -2, 2, 12, 34 in descending order.\nAnswer: 34, 12, 2, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -60, -1, -0.5, 1, 0.8, -4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 703 - 366. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 27\/14006638 or -1?\nAnswer: 27\/14006638","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 267105 to the power of 1\/2, to the nearest integer?\nAnswer: 517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4df07 (base 16) to base 12\nAnswer: -1348b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24531921?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -440067 by -1322.\nAnswer: 440067\/1322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 6*q + 8. Suppose -s - 18 = q*s. Is 2 at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u + 20 = 21*u. Suppose u*t = t + 272. Calculate the remainder when t is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 242536?\nAnswer: 242537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 21\/2 of a kilometer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 12948320*n**2 - 12948317*n**2 + 3*n - 3*n. Let g(h) = 28*h**2 - 10. Calculate k(g(p)).\nAnswer: 2352*p**4 - 1680*p**2 + 300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, -0.2, 1.786, 5, 42, 2\/5?\nAnswer: 1.786","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, -3, 34, 3, 1, -7\/11 in ascending order.\nAnswer: -3, -3\/2, -7\/11, 1, 3, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 t when two letters picked without replacement from soggotzsfffz.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/4 - (-62)\/8. Let b = p - 6. What is the second derivative of b*i**5 - i**5 - i + 4*i wrt i?\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 + 19. Let j = -88 + 109. Let v be (-42)\/j*(5\/(-2) + l). Solve -v*n + 0*n = -15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**3\/6 - 20*m**2\/3 + 77*m\/2 = 0. Calculate m.\nAnswer: 0, 7, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 5) + 2 + -2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 4*z + 6, -4*t + 12 = 3*z - 7*z. Solve t*m = -8 + 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = 6997*y - 7020*y + 221, y - 4*v + 19 = 0 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/10 - 54\/10. Let u(p) = -6*p - 1. What is the tens digit of u(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/7 + (-38)\/(-14). Factor o**t + o + o - 4*o**2 + 2*o.\nAnswer: o*(o - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 o when four letters picked without replacement from {u: 4, r: 4, o: 6}.\nAnswer: 80\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 14) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24519 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 12.9. Let z = 0.7 + q. Which is the second smallest value? (a) 2 (b) z (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2242 (base 14) to base 10.\nAnswer: -5938","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00009681 rounded to six dps?\nAnswer: 0.000097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - 7*k - 8. Suppose -4*g + 81 = -j + 2*j, 0 = -2*j - 6. Suppose 3*p = h - 8, -4*p - 19 - g = -5*h. Let r be o(h). Solve 5 = t - r for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-148 - 234 + 284)*(-1 + 2 + 1)*(-3*w + w**2 + 3*w) to h*w + d*w**2 + j and give d.\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 307 - 276.8. Let i = r - 26.2. Which is the closest to -2\/91? (a) 1 (b) i (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y**3 - y**2 + y + 1. Let p be z(-1). Let i = 10443\/35 + -1489\/5. Which is the third smallest value? (a) 3\/7 (b) i (c) -0.01 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of 0 + 14*k**2 + 5\/66*k**4 - 8\/33*k**3 + 1\/110*k**5 + 0*k. Solve h(y) = 0 for y.\nAnswer: -4, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (23 - 23 - 7*p**3 + (-47*p + 9*p + 8*p)*(p**2 - 3*p**2 - p**2))*((-3 + 1 + 1)*(5 - 5 - 1) - 3 + 4 + 1) in the form c + i*p + w*p**2 + k*p**3 and give k.\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3888)*2 + -3 + sqrt(3888))**2 - (1 + (0 + (sqrt(12))**2 - (sqrt(3) + -1 + sqrt(3) + -2*sqrt(3)))).\nAnswer: -648*sqrt(3) + 34987","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 30*72\/(-1260)*14\/20?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cwkcccccc. What is prob of picking 3 c?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7, 12, 32, 3, -293, 4 in decreasing order.\nAnswer: 32, 12, 5, 4, 3, -7, -293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55) - sqrt(495))*5 + sqrt(55) + sqrt(55))\/(2*sqrt(176)) - -3*(1*sqrt(405) + -3)**2.\nAnswer: -163*sqrt(5) + 1242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - n = -0*n - 2*n + 2*n - 30, -5*n + 96 = -7*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.9750234 and -71692.\nAnswer: -71690.0249766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3*c**3 - 16*c**2 + 4*c + 9. What is z(-5)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 539447 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of f**3\/2 + 3*f**2 + 66*f. Suppose 0 = -5*n - 4*v + 9, 2*v + 23 = 3*n - 0*v. What is the units digit of w(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 6) + -2 + (12 - 6) + -4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 54 = -u. Suppose -4*s + 68 = 3*k + k, 0 = s - 4*k - u. Solve -5*w + 1 + s = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 162 and 9?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, a: 1, t: 6, j: 2, c: 4, b: 3}. What is prob of sequence ccac?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**2 + 709 - 2145 - i**2 + 719 + 717.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/3 - 642252\/(-36). Suppose -8*o = 3*j - 7*o - 17850, 3*j = -4*o + x. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 8, w: 2, q: 1, y: 1, r: 2, t: 6}. What is prob of sequence rqy?\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 3 - 1 = 20, 4*y - 78 = -18*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of l**5\/20 - l**3\/3 + l**2\/2 + l. Let c be (-6 - 80\/(-15))\/((-8)\/12). Determine p(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*((-15)\/(-6))\/(4\/8). Suppose -5 = -k + 2*q + l, 0 = -3*k - 5*q - 14. Solve -2*t = 2 + k for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 850*n = 846*n + 24. Let g be 2\/n + (1\/3)\/(-1). Solve d + 1 = -g for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -695 - 235 + 236 + 29*v**2 wrt v?\nAnswer: 58*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of 3*q**2 - 2 + 30*q + 1\/2*q**3. Give o(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 4*w**2 + 5*w - 11. Let p be q(2). Let t be (p\/9)\/((-4)\/8). Solve 8*j - t = 6*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3140 (base 12) to base 3\nAnswer: -21101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 231908*u**2 + 53*u + 586.\nAnswer: 463816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1270 divided by 5.\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5344 - -2?\nAnswer: -5342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 8:19 PM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of p**6\/120 + p**5\/6 - p**4\/24 - p**2. Let v be b(-10). What is the highest common factor of v and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/3 + 4*r**3\/3 - 170*r**2\/3 + 268*r - 357.\nAnswer: (r - 7)*(r - 3)**2*(r + 17)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.1 - -2.2. Which is the closest to 3? (a) 0.2 (b) -3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53323 is divided by 476.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70 and 8400.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96 and 636?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 15781*b**2 + 25*b. Let j(v) = 15781*v**2 + 20*v. Determine 4*a(z) - 5*j(z).\nAnswer: -15781*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 465 is divided by 55 + (-13)\/(52\/48)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44 and 1177.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -13*k**3 + 64*k**2 + 26*k - 115. Calculate b(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210 is divided by 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 divided by 45?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -192.\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 354511316 and 16.\nAnswer: 354511332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 255*j**4 - 39*j**2 + 5. Let a(l) = 170*l**4 - 26*l**2 + 3. Let w(p) = -8*a(p) + 5*v(p). Find the third derivative of w(q) wrt q.\nAnswer: -2040*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 131069, 131083, 131099, 131117, 131137, 131159, 131183?\n\"Answer: n**2 + 11*n + 131057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -935, -941, -947, -953?\nAnswer: -959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 1513*h**3 - 2*h**2 + 2*h - 1. Let n be j(1). Suppose 0 = 6*q + q - n. What is the highest common divisor of 27 and q?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.4 in -0.4, -2, 2\/9, -0.19?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in 2\/7, -0.3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h + 190. Let w(x) = 10*x**2. Give i(w(f)).\nAnswer: -10*f**2 + 190","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.22996554 to 4 dps.\nAnswer: 4.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 60309, 1295?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of 1693*f**7\/42 - 3*f**4 - 25*f**3\/6 - 101*f**2 - 10*f. Find the second derivative of n(t) wrt t.\nAnswer: 101580*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66 and 418?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -101*y - 7334 + 8041 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -0.5971, -0.3, 17?\nAnswer: -0.5971","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q - 2*q - 2*q**3 - 2*q - 25*q**3 + 2*q + 27*q**3 + 4*q + (3 - 1 - 1)*(3*q**3 + 2*q**3 - 2*q**3).\nAnswer: 3*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 158617052?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 363 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -15940697419 and 534.\nAnswer: -15940696885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 56 - 108 + 70 = 4*c, 8*c = 3*w + 22 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1570.60424 + -1570.7. Round t to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -98*x**4 + 5462*x**3 + 2558301*x**2 wrt x?\nAnswer: -2352*x + 32772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 23*c = 27*c + 12, -c = 0. Calculate the common denominator of 71\/10 and (-477)\/(-364) - (360\/63 - q).\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-11\/5))\/z**(11\/4) assuming z is positive.\nAnswer: z**(9\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = 8*y - 6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m - 3*n - 18, 6*n + 18 = -14*m + 3*n for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1295636 = 384*t - 9565648 - 9618588. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 63 - 165. Let o = q + 101.8. What is the nearest to o in -2, 30, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 167*s**2 - 2. Let v(o) = 167*o**2 - 3. What is -3*i(a) + 2*v(a)?\nAnswer: -167*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 33 = -l. Let m(g) = -6*g + 0*g**2 + 7*g**2 + 5*g**2 - l*g**2. Calculate m(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -s - 67 - 42, -4*s = 3*d - 77. Suppose 0 = 28*g - d*g - 277. Let l = g - -264. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1263.7358 - 0.3.\nAnswer: 1263.4358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3a873 (base 12) to base 10\nAnswer: 80727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -6*a - 9 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/2*(-3)\/3. Suppose -12 = 3*d - u*d, -99 = -3*j + 3*d. What are the prime factors of j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1908547*h**3 - 4*h + 4757233*h**3 + 4*h.\nAnswer: 6665780*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9629?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**4 + 1. Let q(x) = 6*x**5 + 15*x**4 - 6*x**3 - 24*x**2 + 8*x + 1. Let p(a) = -2*m(a) + 2*q(a). Suppose p(h) = 0. Calculate h.\nAnswer: -2, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 4, i: 7}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53 + -25. Let q(p) = p**3 + 35*p**2 - 195*p + 206. Let r be q(-40). Solve 3*w + r = g - 12, -u = 5*w - g for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13777?\nAnswer: 23, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 + 28. Suppose w = -n + 8. Solve -18 = -4*z + 2*c, -4*z - n*c = 4 + 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*u**2 - 1\/5*u**3 + 8*u - 112\/5.\nAnswer: -(u - 4)**2*(u + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -52.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4bb (base 14) in base 16?\nAnswer: 3b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 42077 = 3*q - 10238, -r = -q + 17457. List the prime factors of q.\nAnswer: 2, 5, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 64, 257, 578, 1027, 1604, 2309, 3142?\n\"Answer: 64*x**2 + x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 5*z**2 + 4*z - 1. Let b(y) = -7*y**2 - 4*y + 2. Let s = 108 - 104. Let g(w) = s*o(w) + 3*b(w). What is the lowest common multiple of 18 and g(4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 3:51 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b + 17251 = 31*b + 16899 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.01 rounded to one decimal place?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + q + 0)*(2*q**2 - 6*q**2 + 0*q**2) + 332*q**2 - 13*q**3 - 172*q**2 - 169*q**2)*(-1 - 3 + 1).\nAnswer: 51*q**3 + 27*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -k + 3*k. Suppose 4*y + 2*n + 3 + 7 = 0, 3*y - n = -15. Calculate the least common multiple of 25 - (-1 - 3)\/y and k.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7522829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -5*g**3 - 5*g**2 - 4*g - 2. Let r(y) = -7*y**3 - 5*y**2 - 5*y - 1. Let c(m) = 2*r(m) - 3*s(m). Determine c(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*z - 15*z - 6*z - 16*z.\nAnswer: 54*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 854\/(-6) - ((-40)\/(-6) - 7). Let f = 21 - d. What is the units digit of f\/2 + 18\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(162)*2)**2 - (-5 + sqrt(18))*6)*3.\nAnswer: 270*sqrt(2) + 2061","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 525564.\nAnswer: 2, 3, 13, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 46 = 3*i, 64 = -4*x - i + 17 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + 0.4. Let x be 32\/(-18) + 2\/(-9). Let u be 4\/8*(x - -1). Which is bigger: u or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 9) in base 16?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 4*q + 25 = -7, 5*n - 20 = 2*q. Let j be ((-68)\/(-8))\/(2\/(-4)). Let c(w) = 18*w + 23. Let v(y) = 6*y + 8. Calculate j*v(h) + n*c(h).\nAnswer: 6*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 48740383 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p**2 - p. Let n be ((-6)\/2)\/(-3) + 3. Suppose a - 9 + 2 = -4*w, -2*a - n*w + 6 = 0. What is the units digit of t(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**3 - 766*z**2 + 362*z - 155901. Determine y(-384).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-6))\/(20\/(-30))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 10*r**2 + 13*r - 7. Let y be i(9). Suppose y*a - 24*a - 40 = 0. What is the remainder when a is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 565014371?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 2*o**3 + 4)*(4 - 4 - 3) + (3*o - 4*o + 3*o)*(-3*o**2 + 3*o**2 + 2*o**2) + 2*o**3 - 6*o**3 + o**3 to t*o**2 + n*o + m + x*o**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g**3 + 32*g**2 + 12*g. Let d(r) = -r**3 - r**2 - r. Determine 12*d(b) + o(b).\nAnswer: -8*b**3 + 20*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -92700 divided by -23175\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.032 + -4.968. Let u = 2 - -1. Let k = -2.3 - -2.34. What is the third smallest value in u, k, h?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -5*i**2 + 360*i - 361. Let n(b) = 2. Let k(h) = -3*n(h) - r(h). Solve k(g) = 0 for g.\nAnswer: 1, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539) + -1)*6 + sqrt(11) + -4*sqrt(44)\/sqrt(4) + sqrt(176) + -2)**2.\nAnswer: -688*sqrt(11) + 20403","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 683664?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 18, 405, -12, -0.07.\nAnswer: -12, -0.4, -0.07, 18, 405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 4*b + 0*b)*(9 - 3 - 14)*(-4*b**2 + b**2 + b**2).\nAnswer: -32*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4 = -2*t + 4*t, -3*z - 2*t = 0. Suppose 3*q = 2*h + 48, 2*q - 21 = z*h + 13. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h - 127. Determine p(13).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 72411 and 72409 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22 or 1573?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(475) + -1 + 1)**2 - (sqrt(19)*3 + -3 - sqrt(114)\/(sqrt(6)*2)).\nAnswer: 15*sqrt(19)\/2 + 479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - 101*y + 1213. What is v(11)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 10:42 PM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 6:39 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.93900646 rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5354 rounded to the nearest one hundred?\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of 86 + 0*u + 0*u**3 - u**4 + 1\/2*u**2. Determine c(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 115919, 115917, 115939, 115997, 116103, 116269?\n\"Answer: 2*i**3 - 16*i + 115933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24*v**5 - 206*v**3 + 11604*v**2?\nAnswer: 1440*v**2 - 1236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -30*f**3 + 427*f**2 - 19*f - 22. Determine l(14).\nAnswer: 1084","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 1. Let s = -368\/3 - -123. Let c(t) be the second derivative of -3*t + 0 - 1\/2*t**4 + 5\/2*t**2 - s*t**3. Determine c(j) + 5*f(j).\nAnswer: -j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + (-210)\/12)\/(-10 + 209\/22)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 8:04 PM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(-4) + ((-294)\/24 - -14). What is the second biggest value in 3\/4, w, 287, 1\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 671167, 1341772, 2012379, 2682988, 3353599?\n\"Answer: i**2 + 670602*i + 564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -372 greater than 101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, o: 2, b: 3, c: 4, e: 1, x: 2}. Give prob of picking 2 b and 1 e.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19474 - 19463. Solve 4*o = o + a*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*s**5 + 669*s**4 + 9234*s**3 - 10743*s**2\/4 - 4578*s + 1764 = 0. What is s?\nAnswer: -28, -3\/4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221121012200 - -1?\nAnswer: 221121012201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + 27*p**2 - 55*p + 18. Calculate the least common multiple of 16 and o(24).\nAnswer: 3408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -4*d + 20, 20*d - 31*p + 27*p = 72 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pknnkkkkkknnkksnkkk. Give prob of picking 1 p and 1 k.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.9 + -6.1. Let x = 7.8 + w. Let z = x + -1.1. What is z rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 PM and 1:50 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 5:48 PM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -x + 14257, 4*x + 0*s + s - 57085 = 0. Suppose -4*o = -x - 336. Suppose 0*t = -4*t + o. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3353*l + 565 - 460*l - 4*l + 4178 - 1011 wrt l?\nAnswer: -3817","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v - 5. Let h be x(-3). Suppose -4*k + k + 7 = -h*r, -5*r = -5*k + 5. Let t be r\/14 + (-21)\/(-49). What is the third smallest value in t, 0, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 341 = -5*g - 266, l - 2*g = 303. Suppose -l = -a - 290. Solve -a + 2 = -i + 2*s, 16 = 4*i - 4*s for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13013*m - 10893*m - 13591*m - 13216*m to the form i*m + g and give i.\nAnswer: -24687","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 9:13 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 732 = -36*z + 444 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1140091 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 - 0.18. Let t = 752\/133 + -102\/19. What is the closest to 0.2 in v, 2\/21, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-5\/3)*y**(-6\/7)*y*(y**(-1\/3)*y)**(-7\/9) assuming y is positive.\nAnswer: y**(-386\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*g - 6*g + 423. Let k = 442 + g. What is the greatest common divisor of 43 and k?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 5*j - 25, j - 86 = 5*l - 81. Suppose -2*d + 2*q = -12, 0 = 4*d + q - 2*q - 9. Let f be (0 - 13)\/d*1. What is the closest to -1 in l, 1, f?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -4*z - 4. Let t(j) = -1. What is -q(h) + 5*t(h)?\nAnswer: 4*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-47967)\/(-236)*((-10)\/6 - 1). Let n = y - -926. Does 16 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 2*l. Let a be w(-2). Let h(k) = 1 + a - 13 + 0 + 4*k. Does 16 divide h(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 w when three letters picked without replacement from jikikw?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.266 to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76, -155, -234, -313?\nAnswer: -392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/561 + 565\/1122. What is the closest to 2 in -2\/5, 10, q, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 74 + -68 - (-12 + 2) - 23?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 20 = -2*g - g, -3*g = 3*j - 36. Suppose 4*b - j*b + 30 = -5*k, 6 = -k + 2*b. Is (-2)\/k - 5\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**3 - r**2 + 6*r - 6. Let j be q(3). Suppose 5*h = 72 - j. Solve -9 = -2*m + 2*k - h*k, -m + 4 = k for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - 19. Which is the closest to -1? (a) -2\/7 (b) 2\/11 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -22, -49, -98, -175?\nAnswer: -286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -305 (base 7) in base 13?\nAnswer: -b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/3*-39 + -6. Is (-17)\/(476\/(-823504)) + 1\/p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 10*k**2 - 25*k. Let t be n(-12). Let m(a) = -2*a**2 + 26*a - 16. Let g be m(t). Solve 5*r + g = -d + 23, -2*r = -5*d - 33 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s + 16*s = 10. Suppose 0 = -s*k - 4*r + 19, -2*r + 1 = 4*k - 13. Solve 3*w - 9 = -k*j, 2 = -2*w - 2 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -20*-5400*(1 - 101). What is n rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 470416?\nAnswer: 940832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20b9 (base 13) to base 6.\nAnswer: 33014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -32121 (base 7) in base 12?\nAnswer: -4729","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (14 - (51 + (9 - 30)))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1054, 4199, 9448, 16801, 26258?\n\"Answer: 1052*i**2 - 11*i + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (46 + (17 - 22) - 21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 6*m + 17. Let s(d) = -d**2 + 3*d + 9. Determine 3*n(q) - 5*s(q).\nAnswer: 2*q**2 + 3*q + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 3*w**2 + 7*w - 6. Let q(h) = 3*h - 20. Let c be q(8). Calculate the remainder when g(c) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 + -2.3. Let f be (-1)\/(-4) + 900\/(-48). Let y = 17 + f. Which is the closest to i? (a) -3 (b) y (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of 15*i**2\/2 + 1. Let k(x) = -x - 1. Let h(s) = 12*s + 10. Let u(o) = h(o) + 10*k(o). Calculate z(u(w)).\nAnswer: 30*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -318.85 - 6.8. Let k = z - -324. Round k to 1 dp.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 (base 8) in base 13?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 7*b + 2. Suppose h + 3*h + 26 = -2*a, -4*a = -3*h - 47. Let l(u) = -27*u - 9. Let p(s) = h*k(s) - 2*l(s). Let y(c) = 2*c. What is p(y(v))?\nAnswer: -18*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**4\/5 + 17142084*s**3 + 918284597782466*s**2\/5 + 367313787686736*s + 918284426361632\/5 = 0.\nAnswer: -21427604, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 540.0287 minutes in nanoseconds?\nAnswer: 32401722000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 1:44 AM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1886)\/270 + (-236)\/(-1062)*(-18 + 0) - -11?\nAnswer: 2\/135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 3*d - 4. Let s be j(-8). Let o = -20 - s. Let p(z) = z**3 - 4. Calculate the remainder when p(3) is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 497492 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-312)\/16 + (-15)\/(-40) + (-30)\/16. Put -5, 0, l, 21 in increasing order.\nAnswer: l, -5, 0, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177441 is divided by 6115?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 4*w + 5. Let k be n(-6). Suppose -k + 3 = -u. Suppose 3*b = b + u. Solve s + 11 = -5*z, -3*z - 5*s + b + 4 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -1. Let g(u) = -7 - 4*u + 7 + 3032*u**2 - 8031*u**x. Let y be g(4). Round y to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(190)*-2)\/(sqrt(10)*-1*-6).\nAnswer: sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j - 5*j - 3*j)*(3*j**2 - 2*j**2 + j**2) - 7*j**3 - 5*j**3 + 4*j**3 + (2*j + 0*j + 0*j)*(j**2 - 3*j**2 - j**2).\nAnswer: -36*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 147864380 to the power of 1\/4, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -80078650*b**2 + 21186746*b wrt b.\nAnswer: -160157300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -278, -272, -266, -260?\nAnswer: -254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36160.92 + -36161. Which is the nearest to q? (a) -3 (b) -51 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of a**2 + 15*a - 3. Let b be c(-6). Suppose 34 = -b*q + 7. Is -10 at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -382 + 387. Suppose -26 = -5*b - w, -3*b = -2*b - p*w. Solve -b*m = -11*m + 18 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2294909 is divided by 387.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 8:36 PM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - -4) + (-1 - (-2 + -1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + 1 + -1 + 335 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 12*x + 31. What is d(-7)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 40*h**2 + 692*h - 380. Calculate s(53).\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -18 times -31777062\nAnswer: 571987116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14850 and 1628550.\nAnswer: 4885650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) -1.48 (c) -31 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 16*w**2 + 39*w + 1. Let i be b(-13). What is the second smallest value in 1\/40, -5, i?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/4))**(2\/113) assuming g is positive.\nAnswer: g**(1\/226)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 < 16.0821?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24302182 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18987*a + 4 - 9502*a - 10 - 9493*a.\nAnswer: -8*a - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/738 and 101\/574.\nAnswer: 5166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11777.07 - -11843. Let l = u + 1.07. Let j = -67.47 + l. Round j to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a - 8. Suppose 5 + 2 = j. Let s be y(j). Let t be (-24)\/(-35) - 6\/21. Put -0.2, s, t in increasing order.\nAnswer: s, -0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5124421106 - -2?\nAnswer: 5124421111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of p**5\/20 + 9*p**4\/8 - 11*p**3 + 3*p**2 - 2*p + 105. Let d(v) be the second derivative of a(v). Solve d(n) = 0.\nAnswer: -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -569587235*h**2 + 101885103*h - 6.\nAnswer: -1139174470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -39106776.\nAnswer: -78213552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1082, 1081, 1080, 1079, 1078?\n\"Answer: -c + 1083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**2 - 4*n + 5. Let z(i) be the second derivative of -i**4\/4 + i**3 - 7*i**2\/2 - 2*i - 18. What is -7*o(m) - 5*z(m)?\nAnswer: m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5151*y + 44082*y + 15890*y.\nAnswer: 54821*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 99799743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*t - 264 + 957. Let g = t - -69. Calculate the highest common factor of g and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*d + 102*d - 293 + 565 - 317.\nAnswer: 2*d - 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -3, 0.2, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*(j*j**(-1\/12)\/j*j)\/j)\/j**(-1\/2))**50)**(-2\/127))**(-3\/17) assuming j is positive.\nAnswer: j**(25\/127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(-10)*(-8960)\/(-59136).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8699561nm to centimeters.\nAnswer: 0.00000008699561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/823 (b) 1 (c) 5 (d) -5 (e) 13\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 2*v + 20 + 20, 4*v = -3*l - 2. Suppose 42 = l*g - 3*g. Calculate the remainder when 69 is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 6:02 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*q - 10*q + 17*q to the form r*q + z and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 18038458.09 and -24.\nAnswer: 18038434.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -2*f**5 - 130*f**4 - 1886*f**3 - 1630*f**2 + 1888*f + 1760 = 0.\nAnswer: -44, -20, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 64313 + -1?\nAnswer: 64312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7267 or -7330?\nAnswer: -7267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 78*r**3 - 5*r**2 - 6*r - 8. Let a = -7 - -1. Let s be l(a). What is s rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 30 = p - 2*p, -2*p = y + 60. Let k = 55 + p. Suppose -m - 5*l = -k, -17 = -4*l - 1. Solve -n + m*w = -3*n + 2, -2*n = -2*w + 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -45 (b) 8 (c) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 66 = -3*m. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 1 (c) -1704\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 681971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eded?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -290*7\/2 - (-318)\/159. Sort -2, d, 3, 0 in descending order.\nAnswer: 3, 0, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/40 of a tonne?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 95*q**2 + 602*q + 45. What is h(101)?\nAnswer: -359","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - (-5 - 378\/36)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*q**5\/7 - 61906*q**4\/7 + 402280*q**3\/7 - 132608*q**2 + 866336*q\/7 - 35360 = 0. Calculate q.\nAnswer: 1\/2, 2, 15470","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.35, 6, -1\/8, -0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -3 (c) -140\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/274856 and 23\/188?\nAnswer: 274856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 264101111?\nAnswer: 23, 2309, 4973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r - 8*x - 29, -16*r + 11*r - 4*x + 10 - 54 = 31 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + 21. Find a, given that -7*a**2 + 5*a**4 - 2*a**5 + 4*a**3 - 10*a**c - 13*a**2 + 15*a**4 + 8*a = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d - 3*m - 13, 35*m - 31*m = 3*d + 62 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3821531563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(1053) + -1)*-4)**2 + -3*((sqrt(1053)*-2 - sqrt(1053) - sqrt(1053))**2 - sqrt(1053))*-4.\nAnswer: -1836*sqrt(13) + 219600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 57457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1089769 to the power of 1\/2, to the nearest integer?\nAnswer: 1044","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 11196 (b) 5 (c) 0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2 - j**2 - 2*j - 3*j + 2 + j**3 - 3*j**2. Let g be f(5). Solve s - 3*s - g = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -98? (a) 2\/5 (b) 18 (c) -830\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 94248 and 140539.\nAnswer: 111306888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((4*(sqrt(931) - -1*sqrt(931)))**2 - sqrt(931))*3 + (-3 + -1*sqrt(931) + 1)**2.\nAnswer: 7*sqrt(19) + 179685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -212*0.4.\nAnswer: -84.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of 167*d**4\/6 - d**3\/3 + 19*d**2\/2 - 33*d. Is i(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47 + 230*v + 228*v - 461*v to the form a + n*v and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i + 9*i + 9*i - 3 - 27*i. Determine b(4).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-12) - 37\/(-4). Let d(b) = 3*b**2 - 14*b + 11. Let l be d(s). Suppose v - 3*v - l = -3*x, v + 1 = 0. List the prime factors of x.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 0 + -100 + 483 + -502?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13981574 divided by 21.\nAnswer: -13981574\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 4 + (2 - 1 + 1)*(-2 + 1 + 0) + 1 - 5 + 2 + 1 - 6 + 4 + 1 - 2 - 1 - 2 + 4 - 1 + 0 - 3 + 0)*(-2*j + 0*j + j)*(-5 + 11 - 29).\nAnswer: -230*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 22*r - 3.\nAnswer: -22*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**2 - 4165*p + 4164 = 0 for p.\nAnswer: 1, 4164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -4\/211?\nAnswer: -4\/211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f = -29 + 1 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g - 15 - 13*g + g - 5*g. Let u(q) = -16*q - 14. Let t(a) = 3*p(a) - 4*u(a). Let f(b) = -12*b - 7. Let s(c) = 8*f(c) + 5*t(c). Calculate s(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -9*l**6\/2 - 3*l**2\/2 - 21*l + 176. What is the second derivative of d(b) wrt b?\nAnswer: -540*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 173.3 * -2951\nAnswer: -511408.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -z + 3*t, 3*t - 9 = -6. Solve -25*f = -z - 84 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.4 - -2. Let m = v + -0.5. Let b = 3.881 - -2.119. Which is greater: m or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - j = 3*q + 15, 10 = -4*q + 2*j for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3340*s + 3347*s - 84 = 6684*s for s.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.06421 + -3.93579. Sort w, 3, -6\/467, -1 in decreasing order.\nAnswer: 3, -6\/467, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*k**2 - 811 + 1011 + 92*k - 9*k**2 = 0. What is k?\nAnswer: -2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7403226 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 94425391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 16*k**2 - 29*k + 13. Calculate l(14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.3, -0.4, 2, 20, -2, 4\/6175?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -575.974 - -577. Let p = j + -0.526. Suppose 0 = s - 4*n - 10, s = -2*n - 3*n - 8. Which is the biggest value? (a) -2 (b) s (c) -2\/11 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 8*n**2 + 10*n + 9. Let c be l(-6). Let r = c - 41. Let p be (-4)\/r*(-15)\/(-9). Sort 0.2, 4, p in decreasing order.\nAnswer: 4, p, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28401 - 28429.9992. Let a = d + 29. Round a to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 409 = -289. Let v be (35\/(-4) - -5)\/(r\/40). What is k in v - 5\/4*k**2 - 15\/4*k = 0?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/272)\/((-207)\/828).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = v - 23, 0 = -5*v - 2*a + 2 + 3. Is v\/8 - (1 + 4122\/(-16)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -1082*n + 43. What is the hundreds digit of x(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1612*z + 3699*z = -3911*z + 345*z - 73489 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18408 and 9204?\nAnswer: 18408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + 22. Let m(a) = -2*a**2 - a + 2. Let v be 1095\/65 + (-8)\/(-52). Let p(y) = 6*y**2 + 3*y - 6. Give r*p(h) + v*m(h).\nAnswer: 2*h**2 + h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79893474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a week in minutes?\nAnswer: 26208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 7*b**2 - 8*b + 2. Suppose 4*f + 14 + 18 = 0. Let v be z(f). Let h be (-30)\/(-18)*(v + 1). Solve -4 = 2*y + 2, 20 = -5*q - h*y for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -902582, -3610050, -8122496, -14439920, -22562322, -32489702, -44222060?\n\"Answer: -902489*w**2 - w - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -73761, -147613, -221465, -295317, -369169, -443021?\n\"Answer: -73852*c + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -11. Suppose -x - w*i + 44 = 0, -24 = -x + 6*i - 3*i. Does 18 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 times -3854.9955?\nAnswer: -111794.8695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3651 - 3519. What is the remainder when h is divided by 61?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -384, -1, -651 in descending order.\nAnswer: 2, -1, -384, -651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**3 - 8*x**2 - 10*x - 58. Suppose -3*w + 75 = 5*i, 0 = 3*i - w + 4*w - 39. What is the smallest common multiple of s(6) and i?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of -y**7\/336 + y**6\/80 - 3*y**5\/160 + y**4\/96 - 66*y. Suppose o(w) = 0. Calculate w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9204987?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -24918994*k**4 + 29422683.\nAnswer: -99675976*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -2 + (14 - (3 + 4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 9:54 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 6 - (-1)\/((-1)\/2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -394377\/4 or -98595?\nAnswer: -394377\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = 6*d + 32. Solve 0*q - 4*q - d = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -144473 - -144468. Let k(m) = -4*m**2 + 14. Let z(i) = -3*i**2 + i + 13. Let r(n) = -4*k(n) + 5*z(n). Determine r(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40160103?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -65 - -67. Let b be (u + (-21)\/6)*(-8)\/44. Let a(s) = -s**3 + 12*s**2 - 11*s. Let h be a(11). Is b smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.82 + 6.818539. Round b to 5 decimal places.\nAnswer: -0.00146","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -97 - -93. Let i = 7 - 11. Is i equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y**2 + 3*y. Let k(z) = -z**2 - z. Let a = 99 - 109. Let f(j) = a*k(j) - 2*v(j). Factor f(x).\nAnswer: 4*x*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*u + 46 + 9 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 136 = 656. Suppose -g + 0*g - 159 = -2*y, 5*y - 3*g - p = 0. Is 27 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - -1 - (2 + -6 - -3). Let x be (3 + -8)*((-27)\/15 + b). Solve -3*j + 2 = -x*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3772.386 - 564.10409.\nAnswer: -4336.49009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c**2 + 2*c**2 - c**2 + (0*c + 4*c - 3*c)*(c - 14*c + 47*c) + (-4 + 7 + 0)*(-c + c + 2*c**2) in the form q + n*c + r*c**2 and give r.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7949 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1ab (base 13) to base 15\nAnswer: -15a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -220 - -138810?\nAnswer: 1385a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 324493673?\nAnswer: 7, 29, 313, 5107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 2*x - 392, o + 5*x = x + 89. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 162340?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3341090 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.5, -3, 4\/9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 52252, 418169, 1411500, 3345991, 6535388?\n\"Answer: 52291*t**3 - 39*t**2 - 3*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v - 1. Let k(p) = 29*p + 5. Calculate 6*g(d) + k(d).\nAnswer: 41*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -30*r + 4. Let l be 6\/(((-18)\/(-2 - -5))\/(-1 + -3)). Let v(z) = -59*z + 7. What is l*v(j) - 7*s(j)?\nAnswer: -26*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of c**4\/4 + c**3\/3 - 2. Let r(b) = -2*b**3 - 5*b**2 - 1. Suppose 157*u + 4*u = -161. Determine u*r(n) - 3*h(n).\nAnswer: -n**3 + 2*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 427089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 745 + 987 = 2*v. Suppose -r = -3*r + v. Suppose -3*l - r - 842 = 3*g, -l - 5*g = 445. What is l rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2385?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1074 and 15876.\nAnswer: 2841804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 319 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 430?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6470 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 20494350 divided by 7050?\nAnswer: 2907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184266 is divided by 574.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 15*m + 6. Let w be 10 + (-4 - 12) + 12. Let q(o) = -46*o - 17. Determine w*q(c) + 17*p(c).\nAnswer: -21*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -436 not equal to 0.25875?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 107000 and 214?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1527 in -4, -0.1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/sqrt(2) + 1)**2 + 1 + sqrt(1216).\nAnswer: 21 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -10*k**2 + 14*k + 22. Let a(b) = -13*b**2 + 13*b + 23. Let s(h) = -3*a(h) + 4*t(h). What is s(18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -2\/11, 1, 7106 in decreasing order.\nAnswer: 7106, 3, 1, 0, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 4*t + 2. Let x(f) = -f**3 + 27*f**2 + 25*f + 87. Let n be x(28). Suppose 0 = -18*i + n*i - 45. Let h(a) = -a**2 + 4*a + 3. Give i*y(q) + 2*h(q).\nAnswer: -2*q**2 - 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/49777 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 12 = b + 3, 3*c = -4*b - 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*a**2 - 5204 + 29*a**2 + 5152 to the form u*a + g + o*a**2 and give g.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/4155 and 27\/35.\nAnswer: 29085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -11*a**2 - 6. Let k(x) = 99*x**2 + 55. Let q(o) = 6*k(o) + 55*r(o). Let i(c) = -c**2. Give i(q(d)).\nAnswer: -121*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 91.548*-96\nAnswer: -8788.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22286 + 32411 + 50075 + 34594 + 2*f + 10858.\nAnswer: 2*f + 105652","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1555 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -20298 times 0.33?\nAnswer: -6698.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 71*k**2 + 1959*k - 812. What is g(-28)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 15, p: 2, q: 3}. What is prob of sequence ppq?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t - 7*t + 96 = 0. Let a = 63 + t. Calculate the remainder when (a\/4)\/(8\/64) is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {s: 14, q: 5}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 503 divide 20322709?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**5 + 55*y**4 - 190*y**3 - 850*y**2 - 935*y - 325.\nAnswer: 5*(y - 5)*(y + 1)**3*(y + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**2 + 15*l + 11. Determine y(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/4, 0, -37.1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*g = -6. Let u(r) = -r**3 - 4*r**2 + 5*r + 9. Let o be u(-6). Suppose 0 = -g*k + k + o. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 7 = 6*k. Suppose 4*a - k*y + 22 = 6, -3*a + y = 8. What are the prime factors of (1 - -199) + -2*(0 + a)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172 = o + 175 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 3*n**2 + 3*n. Let v be l(4). Suppose -9*q + 5 = 50. Put q, 2, v in ascending order.\nAnswer: q, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 5*o - t + 4, 0 = -2*t - 4. Suppose h - 19 = k - 31, 0 = -h - 4. Calculate the remainder when k is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-2)*4\/(-3). Suppose 20 = x*k - k. Let b = -9 + 19. Calculate the highest common factor of k and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - (-3 + 17248))*-1. Let l = v + -161777. Let z = l - -28532. Round z to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00972739 rounded to 3 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**3 - x**2 + x + 2. Let u be l(-2). Let y = -23 - -15. Let t be (0 - -7) + y + 5. Solve -t*p = 2*o - 2 + 12, 4*o - u = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 10 = -2. Let v = s + 8. What is the tens digit of (-567)\/(-7) + v + -6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00054019 rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 210\/11*j**2 + 5408\/11 + 2\/11*j**3 + 5616\/11*j.\nAnswer: 2*(j + 1)*(j + 52)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 299047.\nAnswer: 7, 17, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 8:04 PM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-30)*18591\/(-87). Let b = u + 2\/87. Let j = 53401\/10 + -5335. What is the common denominator of j and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 3 = 3*g. Let h be 4 + ((-4)\/(-2))\/g. Suppose -h*u + 2*u = 0. Solve -c - 2 = -3*n + 8, -2*n + 2*c = u for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -70*i**3*n + 1020*i**3 + 5391*i**2*n + 2*i**2 + 2*i - 4 wrt n.\nAnswer: -70*i**3 + 5391*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**4\/2 + 9*o**3 + 3*o**2\/2 - 36*o + 24.\nAnswer: 3*(o - 1)**2*(o + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 7*p - 120. Let h be g(18). Is 14 a factor of (390 - (0 - h)) + (-2 - -5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -3*i + 39, 3*k = i - 5*i + 19. What is the highest common factor of k and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -58*y + 2 - 2 + (y + y - y)*(2 - 4 + 3) + (-2*y + y + 3*y)*(1 + 1 + 12) to the form s*y + j and give s.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in five quarters of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/3 (b) 4 (c) 0.3 (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8045423053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of -v**5\/15 + 3*v**4\/8 - 3*v**3 - 3. Let d(b) be the third derivative of r(b). What is the first derivative of d(h) wrt h?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -0*y + 15. Suppose -y*h = -301 + 66. Suppose -h = -3*j - 5. Solve 3*s + j = 4*i + 2*s, -18 = -4*i - s for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3222*t + 3156*t + 8514 = 0. Solve -21*v - t = 18 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2 + h**2 + h**3 + 0*h**3 - 1 - 2*h**3 + 1 + 0 + 2*h**3 + 0 + (2 - h**2 - 2)*(3*h - 4*h + 2*h) - 5 + 2*h**3 + 5.\nAnswer: 2*h**3 + h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -5, 3 in decreasing order.\nAnswer: 3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + (0\/4)\/1. Let d be (-40)\/k*((-105)\/(-25) + -3). Find the second derivative of -22*w + 14*w**3 - d*w**3 + 4*w wrt w.\nAnswer: -12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rsdrrsrs. What is prob of picking 1 s and 1 d?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p*p**(-24)\/p))*p\/(p*p*p\/(p\/p**7*p)*p))**(-2\/11))**(-9\/7) assuming p is positive.\nAnswer: p**(-576\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 89995 divided by 5?\nAnswer: 17999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -39 - -51. Let p be (-1)\/((-1)\/(0 + 2)). Suppose -o + 9 = 4*a - 3*a, a + k = p*o. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3030*c + 9088. Determine y(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**2 + 3*d - 7. Let l be t(-3). Solve 0 = 3*g + l*g - 15 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/(-50))\/(3128\/(-39100))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -0.05615.\nAnswer: -0.02246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12055 - -2202?\nAnswer: 14260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -25310 minus 0.5?\nAnswer: -25310.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 69 + 6*r**4 - 141 - r**5 + 66 - 10*r**3 + 11*r = 0?\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of 85\/6*a**3 - 2*a + 20*a**2 - 4. What is the first derivative of i(k) wrt k?\nAnswer: 85","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.155426448 rounded to three decimal places?\nAnswer: 0.155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 24 = 0, -6*l = -17*l - 2*y - 71 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2051.9105 rounded to the nearest ten?\nAnswer: -2050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15789331 - 0.0988.\nAnswer: -15789331.0988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -3*s**2 + 8*s**2 + 5 + 1. Let k(h) = -2*h**2 - 6*h + 5. Let b(n) = n**2 + 5*n - 5. Let a(w) = 6*b(w) + 5*k(w). What is -6*a(u) - 5*v(u)?\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of -239*z**8\/336 + z**6\/60 - z**5\/30 + 5*z**4\/24 + 17*z**3 - 4129*z**2. What is the third derivative of x(f) wrt f?\nAnswer: -14340*f**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**4\/3 + 9566*u**3\/3 + 143689*u**2\/3 + 249106*u\/3 = 0 for u.\nAnswer: -13, -2, 0, 9581","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in -0.118, -3, -6.6?\nAnswer: -0.118","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -24?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 2 g, and 1 d when four letters picked without replacement from vvuuuvgvgvudgudvgu.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -57 or -23381\/415?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p + 18*p - 104 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*y**3 + y**3 - 5*y**3)*(y + 0 + 0) + (-3 + y**3 + 3)*(-11*y + 6*y - 12*y) + 0*y**4 - y**4 - y**4 as h + o*y + m*y**4 + s*y**2 + w*y**3 and give m.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1, -0.2, -166?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1130275 (base 8) to base 2.\nAnswer: -1001011000010111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9904*c + 282 + 9899*c - 342)*(-4*c + 4*c - 5*c).\nAnswer: 25*c**2 + 300*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/5*p + 1\/5*p**3 + 1\/5*p**5 + 3\/5*p**2 - 3\/5*p**4.\nAnswer: p*(p - 2)*(p - 1)**2*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 11*g - 1. Let s be a(1). Let h be (15\/s)\/((-1)\/(-2)). Suppose -h*c - 4*q + 34 = 0, 3*q - 43 = -3*c - 13. Solve -2*p - p = c for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**5\/5 + 9222*f**4\/5 = 0. Calculate f.\nAnswer: -9222, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -47*l + 70. Calculate m(-1).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -53, 5, 12, 0 in ascending order.\nAnswer: -53, -2, 0, 2, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, z: 5, k: 8}. What is prob of sequence zf?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 + 3. Let t = -13 - s. Suppose 0*m + t*m = 2*x - 50, -3*x = m - 47. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.22 - -3.22. Let v = 73677\/7 + -10525. Let o = -0.3 - 0.2. Sort m, -4, v, o in ascending order.\nAnswer: -4, o, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*i + 408 = 25*i - 31*i for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8008, -15424, -22840?\n\"Answer: -7416*q - 592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3306100\/9 + 367344. Let p = 0 + -5. What is the closest to u in 0.2, -2\/3, p?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 3*i + 45 - 19, 0 = -2*i - 2*p + 4. Which is the closest to i? (a) 0 (b) 5 (c) 0.1 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + 10*o + 10. Suppose -82 = 2*r - v - v, -2*r - 47 = 5*v. Let k = 36 + r. Suppose k = 2*u - 5*c + 41, 3*c = 5*u - c + 60. Give q(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -8*y - 99. Let o be k(-13). Let r = -498 - -498.5. What is the nearest to -0.2 in r, o, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 361 a factor of 70034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = -2*r - v + 10, 5*v = 3*r + 105. Let p = 24 + r. Let h be ((-18)\/(-15))\/(p\/(-20)). Solve u - h + 5 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {z: 6, f: 3}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Sort -247, 0.5, -1, 9.\nAnswer: -247, -1, 0.5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3344)\/55 + 60)\/(18\/15).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6555, -13611, -20663, -27711, -34755?\nAnswer: -41795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of 0 + 47\/2*f**2 + 3\/10*f**6 + 1\/12*f**4 + 0*f**3 + 0*f**5 - 2*f. What is the first derivative of i(j) wrt j?\nAnswer: 36*j**3 + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36 - 0) + 40 + -89 + 51?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 72 - 72 - 14*d in the form m + v*d and give v.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express ((c**2 + 0*c**2 - 4*c**2)*(2 - c - 2) + c**3 - 5*c**3 + 3*c**3)*(5*c + 3*c - 2*c) as s*c**3 + y*c**4 + m*c + a + x*c**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -11676*u. Let n(o) = -2*o. Determine n(f(y)).\nAnswer: 23352*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 318633068 - -42679\nAnswer: 318675747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 693 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 24 + 1789*c**3 - 11.\nAnswer: 1789*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v**3 - 148*v**2 + 102*v + 115. Let f be j(-50). Which is the second biggest value? (a) 5 (b) f (c) 7 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -112*w + 116*w. Is 12*w\/(-32)*-410 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of 5\/4*l**4 - 5*l**3 + 0*l - 40 + 5*l**2. What is u in w(u) = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3657 - 53*w + 35*w + 1823 - 205*w + 1814 + 0*w - 2*w + w + 0 + 0 + w + 3*w + w - 5*w + (2*w - 2 + 2)*(5 - 2 - 5).\nAnswer: -228*w - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 161264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5585 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 168 minus 0.0410136?\nAnswer: 167.9589864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7 - -8)\/((4\/(-122))\/2). Let p = o - -76. What is the remainder when 42 is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -262.00000155 + 262. Round v to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.215 and -0.599.\nAnswer: 0.128785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2197?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/6 and -51\/517.\nAnswer: 3102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 5\/14 (c) 5\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence te when two letters picked without replacement from {j: 2, g: 5, t: 7, e: 4}?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -298 + 300. Suppose -3*u = -n - r*n, -4*n - 2*u = -24. Suppose z = 6*z. Solve p + 5*o - 6 = z, -n*p = 6*o - 2*o + 8 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**2)**(-12) assuming i is positive.\nAnswer: i**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u + 12. Let v be g(-9). Suppose -z + 4*z = v*l - 18, -z = -4*l + 15. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 63 = 3*x, 5*g + 2*x - 135 = 28. What is the least common multiple of g and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 103150158 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + 1. Suppose -12*z + 6 = -9*z. Suppose 7*j = z*j. Let p(v) = -5 + 8 + 3*v**2 - 2*v + j. Give p(g) - 4*s(g).\nAnswer: -g**2 - 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 2*j**2 - 9*j + 2. Let g be n(2). Suppose -8*z + 272 + 4400 = g. Suppose 0*p + p + 736 = 5*w, -z = -4*w - 4*p. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44*y**5 + y**4 - 5*y**3 - 1212*y**2 wrt y.\nAnswer: 2640*y**2 + 24*y - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 36\/90 - (-18)\/(-45)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3\/4)*j\/j**(-18))\/(j**(6\/7)*j**20) assuming j is positive.\nAnswer: j**(-73\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1 + sqrt(567) + sqrt(567) + -2)**2.\nAnswer: -108*sqrt(7) + 2277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 22 = 4*v, -l + 5*v - 10 = 4*l. Factor 2\/7*n - 2\/7*n**3 + 2\/7*n**4 - 2\/7*n**l + 0.\nAnswer: 2*n*(n - 1)**2*(n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - f + 1. Let w(u) = 326*u**3 - u + 2. What is 2*d(q) - w(q)?\nAnswer: -328*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 2*y**2 - y. Let z(c) = 66*c**2 + 2*c + 79. Let h(s) = -3*f(s) + z(s). Find the second derivative of h(w) wrt w.\nAnswer: -18*w + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9\/5)\/3*5. Suppose 0 = -2*r + 4*h + 4, -4 - 7 = -y*r + h. Suppose -j + r = 1. Solve -j = -m + 1 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/75276 and 157\/378.\nAnswer: 526932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-2)\/(-4))\/((-21)\/(-28))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -15*i**2 + 1. Let v(y) = 64*y**2 - 2*y - 11. Let o(d) = 5*u(d) + v(d). Let j(g) = 7*g**2 + g + 4. Determine 8*j(q) + 5*o(q).\nAnswer: q**2 - 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12363 divided by 3.\nAnswer: 4121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 13 (b) -0.5 (c) -0.05 (d) 2\/3 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-744))\/(((-6048)\/(-128))\/(-63))?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-48))\/((-12)\/216*-6). What is the nearest to s in -2, -17, 1\/2, -3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -15543, -62165, -139869, -248655, -388523?\n\"Answer: -15541*u**2 + u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 23*a + 3. Let q(k) = -1599*k**2 + 494*k - 1235. Let t(h) = -13*h**2 + 4*h - 10. Let j(l) = 2*q(l) - 247*t(l). Give p(j(c)).\nAnswer: 299*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 + 29. Suppose h*k + 5*b - 653 + 175 = 0, k - 2*b - 152 = 0. Is 28 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241*s = -237*s + p, 24*s - 2*p - p = -3*s - 4*p - 0*p for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 22 = a + 36, a = q - 26 + 20 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 9:19 AM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -139067\nAnswer: 3\/139067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, a: 16, m: 1}. What is prob of picking 1 m and 1 i?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4644273*u**2\/2 + 9288567*u\/2 - 21 = 0. Calculate u.\nAnswer: 7\/1548091, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*t - 34*t - 1344 = 140*q + 10*q - 12*t, 3*q + 21 = -2*t for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 156*s - 215. Determine f(3).\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -11642, -13257, -15958, -19745, -24618, -30577, -37622?\n\"Answer: -543*l**2 + 14*l - 11113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -11*z**2 + 23*z - 17. Let h(r) = -2*r**2 + 4*r - 3. Let k be (-44)\/(-7) - (-8)\/(-28). Let l(a) = k*g(a) - 34*h(a). Factor l(y).\nAnswer: 2*y*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 13*x**2. Let t(h) be the third derivative of 0 + 0*h**3 + 0*h - 34*h**2 + 1\/8*h**4. Give t(n(a)).\nAnswer: 39*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of -v**6\/210 - 3*v**5\/35 - 9*v**4\/14 - 18*v**3\/7 + 9*v**2\/2 - v. Let m(d) be the first derivative of n(d). Factor m(c).\nAnswer: -4*(c + 3)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 150*r**2 + 3*r + 2. Give g(-1).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -567*c + 20*c**2 + 567*c.\nAnswer: 20*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/8 of a kilometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*d = 69*d + 1092. What is the greatest common factor of d and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 11*d**5\/6 + 83*d**4\/6 + 76*d**3\/3 + 10*d**2 = 0?\nAnswer: -5, -2, -6\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 21 = -10*g. Solve -3*v + 3*a - 4*a + 7 = g, -5*v + 5 = -5*a for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/28*28\/(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 3*l**3\/7 + 10755*l**2\/7 + 446013*l\/7 - 1434915\/7 = 0.\nAnswer: -3543, -45, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 931605 minus -1?\nAnswer: 931606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 - 37 = -4*a. What is the remainder when 57 is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 590 = 3*d - 2*s, 2*s = -0*s + 10. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 3*a + 1 = 0, -63 = 800*n - 767*n + 3*a for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a (base 12) in base 5?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 250*a + 101*a - 457*a.\nAnswer: -106*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -373\/3 + 123. Let r = 7.43 + -0.43. What is the biggest value in y, 3\/2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.8384 - -12.7044. Round y to zero dps.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000000000011100 (base 2) in base 10?\nAnswer: 32796","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 2:50 AM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*((sqrt(441) - sqrt(49)) + sqrt(49) - sqrt(49)))\/(sqrt(7) - 3*(sqrt(7) + (sqrt(7) - sqrt(7)*1))) + sqrt(77)\/(sqrt(11) - sqrt(1331)*2)*4)**2.\nAnswer: 14884\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 5*v**2\/6 + 6335*v\/6 + 4210 = 0?\nAnswer: -1263, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of 11*b**2\/2 + 10*b - 19. What is the hundreds digit of q(21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 67.98801cm?\nAnswer: 679880100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**3 - 3*m**3 + 4*m**3)*(-5*m**2 + 4*m**2 + 2*m**2) - 1028 + 1028 + 4*m**5 + 2*m - m**4.\nAnswer: 5*m**5 - m**4 + 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/63314671 and 34\/99494483?\nAnswer: 696461381","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 + 4*t + 4. Let j(v) be the first derivative of -2*v**3\/3 - 9*v**2\/2 - 9*v - 23. Let s(p) = 9*g(p) + 4*j(p). Let m(r) = -29*r. What is s(m(c))?\nAnswer: 841*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-17)*m**(2\/5)*(m*m**(-1\/10)\/m*m)**11 assuming m is positive.\nAnswer: m**(-67\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -87. Is u a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 5 + 3 + (2 + 0 - 3)*(0 - 2 + 3) + 14 + 5 - 6 + 12 + 32 - 11)*(-87*w - 9*w**2 + 87*w) as b*w**2 + p + c*w and give b.\nAnswer: -423","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 2*o = 38, -4*o + 28595 = g + 28627 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 12:08 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6363)\/(-808))\/((-3)\/2). Which is the nearest to -2? (a) 3 (b) m (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1494963*s = 3*i - 1494966*s - 75, 25 = -5*s for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1028? (a) -1\/2 (b) -1\/10 (c) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 10) to base 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -f + 15, 0 = 4*j + 5*f + 40 - 35. Solve -j*c + 2*m = -6, 0*c - c = -m for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4318724 is divided by 1941.\nAnswer: 1940","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 3721.63994 to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 1554*o**2 + 7*o. Let t(k) = 516*k**2 + 2*k. What is -2*g(w) + 7*t(w)?\nAnswer: 504*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4185159?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5822114 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32 - -87. What are the prime factors of t?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14058 and 1386.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2257371\/1180 - 9566\/5. Calculate the common denominator of -63\/8 and o.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by 91.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -796 + 799. Let c(y) be the first derivative of -1\/6*y**3 - 1\/2*y**2 + 3\/2*y + u. Factor c(i).\nAnswer: -(i - 1)*(i + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of -c**9\/15120 + c**8\/2520 + c**5\/30 + 13*c**2. Let a(l) be the third derivative of z(l). Let a(b) = 0. Calculate b.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 7 = -n, -u + 57 = -n + 54 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 215*p**2 + 102*p + 1321. Does 205 divide y(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 569, 562, 551, 536, 517?\nAnswer: 494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 - -758\nAnswer: 758.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 4:33 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -9*m**2. Let u(p) be the first derivative of -p**3\/3 + 47. Calculate x(u(f)).\nAnswer: -9*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9776 by -2444.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 26 - 237. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -1\/8, -1, -21, -1\/4 in increasing order.\nAnswer: -21, -1, -1\/4, -1\/8, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2329*s + 2329*s + 4*s**2 - 762 + 1529 - 767.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 100 and 460?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -11. Suppose -h*l = -5*l. Factor 2*t**2 + l*t**2 + 2*t**4 - 3*t**3 - t**3.\nAnswer: 2*t**2*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59 - 432*i - 30 - 29.\nAnswer: -432*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3 - 54*z**2 - 242*z - 186.\nAnswer: 2*(z - 31)*(z + 1)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 281446915 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: Solve 2067 = 823*h + 1987 - 4035 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -134*j**5 - j**4 + 301*j**3 + 2*j**2 + j + 34113?\nAnswer: -8040*j**2 - 24*j + 1806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 2, 4, -4 in ascending order.\nAnswer: -20, -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 203245789?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1410208 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 918.\nAnswer: 10098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1316.3 - -1316. Suppose 3*l + 0 = -15. Let d = -0.05 - 0.35. Put d, j, -16, l in increasing order.\nAnswer: -16, l, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 59 + -52. Suppose 0 = -n + 2*k + 6 + v, -3*k = -5*n + 93. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/1 + 22728\/6. Let z = -52 + 61. Suppose 13*d - z*d = g. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(228)\/sqrt(3))**2 + 5.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 9:01 PM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 7*x - 3. Let u be p(8). Suppose w - 28 = -26. Suppose u*r - w = 38. What is the smallest common multiple of r and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p**4 + 2*p**3 - 2*p + 14. Let l(t) = 4*t**4 - 5*t**3 + t**2 + 5*t - 27. Let n(j) = -6*l(j) - 11*w(j). Solve n(y) = 0 for y.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 10, v: 10}. What is prob of sequence vf?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * 15448.\nAnswer: 92688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 6*z + 13*z)*(z - z - z**3).\nAnswer: -7*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-104)\/(-468))\/(2\/72). Suppose -3*g + t*g - 100 = -4*m, -4*g + 5*m + 80 = 0. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3))**14 assuming t is positive.\nAnswer: t**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 - -62. Let v = f + -36. Sort 1, v, 4 in increasing order.\nAnswer: v, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60358328567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -4751 and 5965 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(2 - 5 - -2). Let s = -4 - f. Suppose s*q - 37 = -2*g + 7, -4*g - 128 = -5*q. What is the highest common factor of 168 and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -14*f - 17. Let g(a) = 5*a + 6. Let i = 40 - 36. Suppose 3*s - 2*t - 20 = 0, s - i*t = -9*t + 1. Determine s*b(m) + 17*g(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0.7 (b) -1 (c) 12.79792\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 215 and 4902?\nAnswer: 24510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 79039275 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 28b2?\nAnswer: -28b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -16*x**2 + 16*x - 8. Let h(d) = d**2 - d. Let g(p) = 20*h(p) + t(p). Let r be g(4). Let f(o) = -22 + r - o - 28. Give f(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13.87 - -14. Let r = -1.87 - u. Let y = -15 + 10. Put r, y, -1 in increasing order.\nAnswer: y, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 165?\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.31 and 0.7901.\nAnswer: 0.4801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 892*g**2 - 16*g - 19. Let y be t(-2). Suppose 11421 = 8*v + y. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2163*n**3 + 29006520*n - 917*n**3 - 29006522*n - 1 in the form y*n + i*n**3 + j*n**2 + t and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of 8*n + 0 + 5\/2*n**2 + 4\/3*n**3. Let u(p) = p**2 - 8*p - 5. Let s(f) = -3*j(f) - 2*u(f). Calculate s(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -123535 (base 9) to base 2.\nAnswer: -10010010000101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2189 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ohh when three letters picked without replacement from ohogphpq?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -95*p - 6358. Give d(-67).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 - 7759152*x + 3762777484944.\nAnswer: 4*(x - 969894)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 166422*-4.\nAnswer: -665688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4 = 1. Let a(i) = -7 + j*i + 4 + 3*i**3 + 8. Is a(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -2. Suppose v + 2 = p, -v + 20 = -u. Let c = u + 30. Solve -3*t + 14 = -2*k, -7*t + c = -3*t - k for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 18266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(150)\/sqrt(3))\/sqrt(5))\/(sqrt(80)*1 - sqrt(80) - sqrt(5) - sqrt(5)) + 2.\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(612)*1 + sqrt(612))*2 + -5 + sqrt(612) + -1 + 3)**2*-4.\nAnswer: -119988 - 1008*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7414 by -19.\nAnswer: 7414\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3285, 3313, 3341, 3369, 3397, 3425?\nAnswer: 3453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 12*x**2 + 2*x + 1. Let v be m(-2). Suppose v = 5*d - 105. What is the highest common factor of 15 and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 32*j - 9*j - 11*j - 10*j. Let w(s) be the third derivative of -s**5\/60 - 6*s**2. Give w(y(n)).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -216 + 216.109. Let j = t + -0.309. Let p = -5.02 - -0.02. Put j, p, 3, 0.2 in descending order.\nAnswer: 3, 0.2, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/25)\/i*i)\/(i\/((i*((i**(-2\/13)*i)\/i)\/i)\/i)))**(2\/21) assuming i is positive.\nAnswer: i**(-1348\/6825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 776262197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -5*g + 9, -12*g - 50*a = -51*a - 56. Solve -g*h + 21 - 8 = 2*p, 3*p + 3*h - 6 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 23.0876379ms?\nAnswer: 0.00000026721803125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -65 + (-3089 - -3234)\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 220\/1870 + (-220518)\/(-51). Calculate the greatest common divisor of 115 and i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1515.15 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -42*v + 114, -181*v + 5*h + 30 = -176*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214*j + 225*j = 435*j + 46 + 170 for j.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -33 - 17?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*t + 16 = 117*t. Let p be (-1)\/1*2\/(-1). Solve -3*b - 5 = t*b - 5*x, p*x = -4*b + 26 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -365b4?\nAnswer: -365b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 285 - 189. Is 48 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.018542 rounded to 4 dps?\nAnswer: 0.0185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1990830?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1040 and 3801.\nAnswer: 3953040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.42 + -0.02. Let r = 0.16 - -0.24. Let q = r - t. Which is the second smallest value? (a) -0.5 (b) q (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26.9999938 - -27. Round x to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - 6 = 4*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 2*g - 12. Suppose g*f + 36000000 = f. Round f to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 3\/8 (c) 0.5 (d) 0.35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -42*o**2 + 130*o - 22. Let l(w) = 21*w**2 - 64*w + 12. Let x(t) = 11*l(t) + 6*u(t). Find the second derivative of x(n) wrt n.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 184692*m - 184697*m - 9 = 0, 4*y - 12 = 5*m for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 42351 divided by -57?\nAnswer: -743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3528 - (-3)\/((-60)\/(-48) + 2\/(-8)). Calculate the highest common factor of l and 132.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -378, -771, 2, -1 in ascending order.\nAnswer: -771, -378, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 776 - 1806*d - 260 - 267 - 251.\nAnswer: -1806*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + t = 2, -3*t + 8*t = -4*u + 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 55233*i**4 - 138520.\nAnswer: 220932*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -269.90356 - -0.28356. Let k = l + 272. What is k rounded to 0 dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 90841.9003 to the nearest ten.\nAnswer: 90840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 47*u - 82. What is the tens digit of x(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 75.2 - 74.8. Sort 5, 21, n.\nAnswer: n, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 20652 = -1256. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4, -10, -20, -34, -52, -74?\n\"Answer: -2*q**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 164, 618, 1366, 2402, 3720, 5314?\nAnswer: 7178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j. Suppose -3*a + 2*n + 0*n + 75 = 0, -51 = -2*a + n. Let g = 11388 + -11382. Let s(p) = g*p**2 - a*p**2 - 13*p**2 - 4*p**2. What is h(s(f))?\nAnswer: -38*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/42*1886157\/13818.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -170, 304, 1428, 3196, 5602, 8640, 12304, 16588?\n\"Answer: -o**3 + 331*o**2 - 512*o + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/120 and 107\/915070.\nAnswer: 10980840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s + 3*s - 1 - 3*s + (2 - 6 + 3)*(-3*s - s + 3*s) - 12 + 12 - 26*s + (4*s - 2*s + 0*s)*(-2 - 1 + 2) - s - 2*s + 4*s.\nAnswer: -24*s - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 = 2*z - 6*z. List the prime factors of z.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49691701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29120 and 1458730?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i + 2*i**2 - 4*i**2 + 3*i**2. Let v(c) be the third derivative of -c**5\/30 - c**4\/12 - 2*c**2. What is -3*p(s) - 2*v(s)?\nAnswer: s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/26231304 and -5\/26532.\nAnswer: 78693912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w - 27. Let r be q(-16). Suppose k = -r*k + k. Which is greater: 4\/13 or k?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(425) - (sqrt(425) + -2)**2).\nAnswer: -1287 + 75*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 0.4, -0.7, 0.11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 34414, 70790, 107166, 143542, 179918?\n\"Answer: 36376*j - 1962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3748*d*u**3 - 348*d*u + d + 2*u wrt u.\nAnswer: 22488*d*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12.97 in -3, 3, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4 + 5*(sqrt(153)*2 + 2 + sqrt(153) + 5 + 0 + sqrt(153)))*3 + -5)*-4)**2.\nAnswer: 645120*sqrt(17) + 9013504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/8*-2*(-3 + 13). Suppose -4*m = 4*i + i - y, -m = -2*i + 2. What is the closest to 0.2 in 10, 5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7 (b) 0 (c) 607353\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 22 = -0*p. Let y = -3 + p. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/12686187 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 15 = 3*u, 0 = -2*t - 2*u - 18822. Let c = -4679 - t. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1348*h**2 - 109*h**2 - 3089*h**2 - 1071*h**2 - 604*h**2 in the form c*h**2 + b*h + n and give c.\nAnswer: -6221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 344 divide 73960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32260691.\nAnswer: 1993, 16187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 297 minutes after 10:39 PM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 12, 5*z = -41*t + 36*t + 116970. What is t rounded to the nearest one hundred?\nAnswer: 23400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 0.02, 106?\nAnswer: 106","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 8:53 AM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 13*o - 74. Let k be b(14). Does k = 109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25848.5 - 25849. Which is the closest to 1? (a) 2\/3 (b) s (c) -7 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6683 is divided by 6676.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 200771529 less than -1.563219?\nAnswer: -200771530.563219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21306763 to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (r**2 + 2*r**2 - r**2)*(1 + 2 + 0)*(-2 + 4 + 3) as m*r + o + t*r**2 and give t.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*z = -10*z - 356. Solve 2*l - 3*n + 6*n - 6 = 0, 0 = -z*n + 16 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -214, -9, -5 in ascending order.\nAnswer: -214, -9, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -818 (base 16) in base 14?\nAnswer: -a80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y + 550651*d - 550656*d + 65, 12*y + 4*d = 44 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/2 - (-12)\/1. Suppose 0 = 4*k - 20, h - 153 = -j + 2*k. Let l = j + -53. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + q - 6 = 0. Let m = -3 + 7. Solve -2 = -q*x - m*l + 24, -5*x = l - 20 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0\/(-1) - 0)\/(-2). Suppose 0 = -i - p*i - 3. Let o be -2 - (1 + -2 - 0). Which is the third smallest value? (a) i (b) -0.3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/11 and 4\/(-22) + 3315\/(-825).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.099 + 0.0217. Round b to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 6*x - 1. Let s be ((-14)\/4)\/(-7) + 44\/(-8). What is l(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 11:06 PM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + 12*h**2 + 10*h + 9. Determine b(-10).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 4 = 4*t, 33 = 2*v + 7*t + 43 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2152 is divided by 220.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 6*v**2 - 6*v - 29. Let g(q) = q**2 + q - 10. Let d(s) = -5*g(s) + p(s). Give d(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.3, 2, 5, -106086, 4, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -8, 0.1, -3414 in increasing order.\nAnswer: -3414, -8, -5, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 110010101101110010?\nAnswer: -110010101101101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 7 = u + 13, 0 = 2*b + u for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -377853 divided by -2841\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 3*l - 48 = 0. Let x be (-183)\/l + 3\/12. Let n = -15 - x. Which is smaller: 4\/11 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 239\/8 + -30. Let f = -108 + 228. Let p = -841\/7 + f. Sort -6, -5, x, p in decreasing order.\nAnswer: x, p, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3958?\nAnswer: 2, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -6 + -1 + 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 3785.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*r = 2, -5*c - 20 = 5*r. Is -8\/11 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 114, -1, 5, 1\/2 in decreasing order.\nAnswer: 114, 5, 1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.8 in -4, 0.07, 2, -5?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 u, and 1 r when three letters picked without replacement from {r: 1, z: 1, u: 2}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/11)\/(l*l\/(l*l\/(l*l*l\/l**(2\/11)*l)*l)) assuming l is positive.\nAnswer: l**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22078593*u - 3650044 with respect to u.\nAnswer: -22078593","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3 - 3982*c**2 + 19885*c.\nAnswer: c*(c - 3977)*(c - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10068?\nAnswer: 2, 3, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 706.2183 centimeters?\nAnswer: 7062183000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 40873512 to the nearest 1000000.\nAnswer: 41000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*d**2 - 24*d**2 + 6*d - 3*d.\nAnswer: -3*d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -4*c - 27, -13*c + 24 = 4*z - 17*c for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 5:13 PM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g*g\/(g*g**(-2\/7)*g))*g)**(1\/6)\/(g**(-1))**(17\/5))\/((g*g**(3\/5)*g)\/(((g*g**(-5\/4))\/g)\/g)*(g\/g**(2\/9))\/g*g*g*g**(-3)*g*g) assuming g is positive.\nAnswer: g**(-2237\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5441551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 215 divide 4945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.22463nm in meters?\nAnswer: 0.00000001322463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218*i + 9*i - 2645 = 27*i - 329*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10195181 to the power of 1\/3, to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 383*j**3 - 454 + 454.\nAnswer: 383*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43618 and 6554?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 1) + (3 - -7). Let m = 11 - q. Put -1, -5, m in descending order.\nAnswer: m, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 29? (a) 4 (b) 1\/254 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -263*x + 48. Let c(w) = -3*w - 1. Let u(b) = 6*c(b) - 3*d(b). What is the first derivative of u(h) wrt h?\nAnswer: 771","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 569956992 a multiple of 1416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 10*c + 6. Calculate d(-4).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-5 + -4 + sqrt(242)*-2 + -4 - -6*2*(-1 + sqrt(242))*-1))**2.\nAnswer: 924*sqrt(2) + 47441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 14 - (-147 + 178) - 15?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from davabdvvovvvaddbvvv. Give prob of picking 2 a and 2 v.\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -2*l**3\/5 + 65912*l**2\/5 - 4277102*l\/5 + 41837352\/5 = 0.\nAnswer: 12, 53, 32891","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**3 - 7*m**2 + 15*m + 7. Suppose 0 = j - 3*j - j - 6. Let g(d) = d**3 + 2*d**2 - 5*d - 2. What is j*v(h) - 7*g(h)?\nAnswer: -3*h**3 + 5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 7*x**2 + 10*x - 34. Calculate k(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -0.9344?\nAnswer: 0.0656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of -q**5\/15 - q**4\/8 + 13*q**3\/3 + 5621*q**2. Let m(b) = -b. Calculate x(m(o)).\nAnswer: -4*o**2 + 3*o + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/96)\/((-486)\/1296).\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 11:54 AM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, g: 1, x: 1, h: 1, u: 1, s: 2}. Give prob of sequence ssx.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/4 (b) 1 (c) -0.033 (d) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 16 + 6 = -c, -3*z = -c - 18. Is 6 a factor of c*10\/(-3) + -1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (10 + -19)) + -10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -54?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/8800 and 10\/9.\nAnswer: 79200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 9 + -8 + (-5 + 3 - -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 114029404.\nAnswer: -1\/28507351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 40043402071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 174*g**2 - 1869*g + 449. What is the hundreds digit of h(-183)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448224 (base 10) in base 11?\nAnswer: 286837","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19 or 48?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 10*i**2 + 22*i - 7. Let t(s) = -s**3 + 26*s**2 - 22*s - 68. Let y be t(25). Let x(f) = -3*f**2 - 7*f + 2. Give y*x(h) + 2*u(h).\nAnswer: -h**2 - 5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -44000 + 300?\nAnswer: -43200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 11\/((-44)\/8) + (-1 - 0). Let z(i) be the first derivative of i**4\/4 + i**3 + 4*i + 2. Determine z(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 49581, 98848, 147517, 195288, 241861, 286936, 330213, 371392?\n\"Answer: -50*l**3 + l**2 + 49614*l + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.16? (a) 0.3 (b) -6 (c) -23 (d) 5 (e) -0.38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 78947 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (166 - 216 + 273 + 204)*(2 - 8*m + m + 8*m) to l*m + n and give l.\nAnswer: 427","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l**2 - 4*l**2 + 6*l**2)*(10 - 10 - 8*l) to h*l + x*l**3 + j*l**2 + o and give x.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {n: 4, l: 6, g: 1}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 53 = -3*z. Let b = z + 319. Suppose b = 5*c + 2*c. Does 7 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2*m + 4 = 0, -20 = -7*m + 2*m. Let l be z\/5 + 147\/15. Solve -l = -3*a + h, -2*a + 4*h = 3*h - 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 9:34 AM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 25373 = -t + 25372, -5*k + t = 8 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13027, 13029, 13031?\nAnswer: 13033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(208) + 1 + -3 - 2*(5 + (sqrt(637) - (-3 + sqrt(637))))**2.\nAnswer: -129 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2481622316?\nAnswer: 2, 620405579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 (base 6) in base 7?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(2\/3)\/k*k**27 assuming k is positive.\nAnswer: k**(80\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 - 5*d - 2. Suppose -39 = 3*u - 5*p + 2*p, 49 = -4*u + p. Let z be 6\/(-8) + (-81)\/u. List the prime factors of w(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/4 (b) 3 (c) 3\/2474 (d) 0.02 (e) 1\/4 (f) 4 (g) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 802812 is divided by 281?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8135 is divided by 692?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49 + -25. Let m = 35 - x. Suppose 0 = 5*h - m - 19. Is h even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5220 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-five halves of a minute?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 23 = -57. Suppose k + 50 = 6*k. Calculate the least common multiple of k and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a millennium in decades?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 152697997*g**4 - 207223387*g**2 - g?\nAnswer: 3664751928*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3*s - 10 = 0. What is the highest common divisor of s and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*h - 6 = -16*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 6*n**2 + 10*n + 10. Let q be (-8)\/(-16) + (-19)\/(-2). Suppose -17*c = -118 - 188. Suppose -4*f = q + c. Calculate m(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 - -31. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h + 3*h**2 + 9*h**2 - 9*h**2 + 6*h**2 wrt h?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5389, 5401, 5411, 5419, 5425?\n\"Answer: -s**2 + 15*s + 5375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 108\/(-42)) + (-2093)\/(-1127)\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 160\/32*4\/30*-3. Let o(b) = -b - 7*b + 0 - 2. Give o(s).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 91454?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1474 by -67.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**2 + c**2 - 2*c**3 + (2*c + 2*c**2 - 2*c)*(-6*c + 5*c + 0*c) - 5*c**3 + 0*c**3 + c**3 + 3*c**3 + 3*c**3 - 4*c**3 - 2*c**3 - 1 - 3*c**3 + 15*c**3.\nAnswer: 4*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6927*y - 6936*y - 261 = -3*c, 5*c - 15 = 0 for y.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2407502 to the power of 1\/4, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8 + -1370?\nAnswer: -1378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 8 = -2*c. Let n(w) = -7*w + 5. Let l(y) = 3*y - 2. What is c*n(h) + 5*l(h)?\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of a**5\/10 - a**4\/6 - a**3\/6 + a**2 + 4*a - 6. Determine l(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 + -14. Suppose -2*a = 2*o - o - 1779, -5*a = q*o - 4447. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 0.2, -3\/2, 0, -4\/5, -10?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17651 - 17517.8. Is n smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/(-20)*(-32)\/112?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 299104*n**4 + 2*n**2 - 1671029 wrt n?\nAnswer: 7178496*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 3, -2, -6\/5, 743, -3?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 5*d + 5858, 18*u - 2899 = 19*u - 5*d. Let c = 4430 + u. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 11 + 7368*v - 7377*v.\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**3 + 179*n**2 - 1214*n + 1720 = 0. What is n?\nAnswer: 2, 5, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3256 + j**2 + 3256.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of 3*u - 1\/30*u**4 + 0 - 1\/5*u**2 - 2\/15*u**3. Find a, given that m(a) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 2*n - 756. Suppose -5*q - 2*g = -191 - 23, 0 = -4*q - 2*g + 172. Calculate the highest common factor of q and n.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-538)\/(-8) + (-49)\/147*(-9)\/(-12) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 20776, 83142, 187092, 332632, 519768, 748506, 1018852?\n\"Answer: g**3 + 20786*g**2 + g - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -2*h - 10, 0 = -3*k + 6*h - h + 4. Suppose 3*p = -k*p - 54. Let b be -1*2*-5*p\/(-6). Solve j + 3*c = b, j + 5*c + 1 = 26 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + -8)*(-14)\/4. Suppose 0 = 6*v - 9*v + x. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -45*j + 8. Determine u(-1).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2 + 56*v\/3 + 128\/3.\nAnswer: 2*(v + 4)*(3*v + 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254 is divided by 64?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 9*l**3 + 5*l**2 - 334*l + 11. Let r(i) = -5*i**3 - 3*i**2 + 165*i - 6. What is -3*h(t) - 5*r(t)?\nAnswer: -2*t**3 + 177*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 99 (base 14) in base 13?\nAnswer: a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1873\/(-8) - 9\/(-72). Let q = 248 + b. Calculate the lowest common multiple of q and 38.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/5))**4)**(2\/9) assuming p is positive.\nAnswer: p**(-16\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/(9\/(-28)) - 3. What are the prime factors of 5*10\/m*(0 - -32)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 l when two letters picked without replacement from lslsssssssss?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.1 - 5.037. Round o to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/342 and 74\/171.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*m**2*q - 144*m**2 + 32*m*q + 2*m + 1668*q - 47 wrt m?\nAnswer: 8*m*q - 288*m + 32*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-6)\/20*5\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/(-42) + 10968\/63.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10567 (base 8) to base 3\nAnswer: 20010121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) - sqrt(209)*2*3 - sqrt(209) - (1*2*sqrt(209) + sqrt(209)))\/(sqrt(110)\/(1*sqrt(490) + sqrt(10))).\nAnswer: -72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that w**5\/2 + 7995*w**4\/2 + 19826507*w**3\/2 + 14255469353*w**2\/2 - 57498737580*w + 115315723400 = 0.\nAnswer: -3365, -1273, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 0 - (15 + -47 + 37).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -959 + 958.7. What is the smallest value in -397, -2, s?\nAnswer: -397","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/18)\/v*v)\/v**(2\/7)*(v\/(v\/(v*v\/(v*v**3))))**(-40) assuming v is positive.\nAnswer: v**(10037\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49 - (-21 - (-17 + 3 - -22)).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18473.9603 + 18473. Let f = v - 0.0397. Which is smaller: 20 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.2? (a) -48.9 (b) -20 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12645912 by 3161478.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -111, -36, 37, 102, 153?\nAnswer: 184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of -q**8\/168 + q**7\/210 + q**6\/120 - 24*q**2. Solve u(r) = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39273 is divided by 441.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2 - 1 + 4. Suppose -2*n + 1 + 9 = -y, -3*n + 5*y + 22 = 0. Let c(r) = -r - 2*r - 11 + n*r - 2*r. Determine -2*c(k) - 22*z(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-16)\/4*91\/(-28)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39 - -12. Let l = b + -53. Let c(k) = -8*k - 3. What is c(l)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 330845 is divided by 41353?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/8)\/(11\/(-44)). Let n be -9 + 2\/v*-6. Let z be (-6)\/n*(105\/(-6))\/(-7). Solve -z*i = 3*l + i + 32, 0 = 2*l - i + 3 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 23445.4 and 2.\nAnswer: 46890.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 7*q**3 + 4*q**2 - q - 8. Let w(v) = -v**3 + 1. Let j(h) = r(h) + 6*w(h). Let l be j(-4). Solve 5*x + 13 = x + d, 22 = -4*x - l*d for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 243 = -4*p + 6965, 0 = -4*p + k + 7196. Suppose 3*q = 21*q - p. Is q a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1972*o + 0 + 1 + 13*o**2 - 7*o**3 + 3941*o - 1967*o to the form t*o + c*o**3 + g + u*o**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24541 + -6949. Is 53 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -4104442 + 4104442 - 2*y**2. Let o(p) = 12766*p. Determine o(z(v)).\nAnswer: -25532*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.7723542us in days?\nAnswer: 0.0000000002867170625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c*i*l**3 + 2*c*i*l**2 - 12*c*l**2 + c - 5*i*l**4 - i*l**2 + 15*l**4 + 52*l wrt l?\nAnswer: -12*c*i - 120*i*l + 360*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -549571*s + s**2 + 549571*s.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (-3 + 2 - -524)\/(1\/72)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 5:41 AM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**0)**(-23)*(r\/(r**(-1)*r)*r)**(-36)*r\/(r*r**(1\/7)*r)*r**(1\/2)*(r*(r*r**(-6)\/r*r)\/r*r)\/(r\/(r\/(r**(-1)\/r)*r)*r*r) assuming r is positive.\nAnswer: r**(-1059\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.36907 rounded to three dps?\nAnswer: 0.369","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 5*v**3 + 21*v**2 + 24*v - 49. List the prime factors of i(11).\nAnswer: 3, 3137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20095240 rounded to the nearest ten thousand?\nAnswer: -20100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 11) in base 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**3 - q**2 - 4. Suppose 2*o - 10 - 10 = 5*f, 0 = f + 5*o - 23. Calculate the lowest common multiple of 1 and g(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - 280\/(-4))*1. Suppose -3*p + u = -2*u - 69, -5*u + z = 2*p. What are the prime factors of p?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 460972.2 centuries to millennia.\nAnswer: 46097.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24785486 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 5. Let k(v) = -2*v**3 + 26*v**2 - 24*v + 4. Let l be k(12). What is the highest common factor of x and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3*h + 63. Let x be q(24). Let m(n) = n + 5. Give m(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 302?\nAnswer: 2\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1922549 is divided by 222.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-90)\/(-120))\/(27\/8).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-14))\/((-6)\/(-28))*54\/(-36).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in 0.5, -4, 2\/9, -31?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*i = -3*i - 90 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*l + 26 = i + 55*l, 7*l = i + 54. Solve 8*t + 3*s = 6*t + 9, -i*t + 4 = 2*s for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*p + 11*p - 2. Let t be (p\/(-11))\/((-6)\/(-12)). Is t at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11752191 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34.9 + 34.5. Let a = 0.02 - 0.05. Let q = -10 - -13. Put q, x, a in ascending order.\nAnswer: x, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.467 + -128.\nAnswer: -128.467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2461 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -205 (b) -0.2 (c) 518594 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 576, -4.\nAnswer: -4, -3, 576","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in fifty-nine fifths of a millennium?\nAnswer: 118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12405 - 189*n**3 + 2*n**2 + 12390 - 146*n**3 + 0*n**2.\nAnswer: -335*n**3 + 2*n**2 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/40*28\/21*(-5)\/(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o + 29 = 21 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 421?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 929\/141 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -213 * -46.\nAnswer: 9798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3606 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - -124194.\nAnswer: 124193.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 0.4861479\nAnswer: -2.4307395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*b**5 + 7037961*b**4 + 2*b**3 + b**2 - 84171021*b - 2 wrt b?\nAnswer: 360*b**2 + 168911064*b + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - r - i + 22 = 0, -2*r - 4*i - 2 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g**3 + 0 + 8928*g**2 - 8932*g**2 + 2*g**3 + 1 + g. Give z(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**2 - 34470*h - 1971288 = 0. What is h?\nAnswer: -57, 17292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g + 71 - 201 = 0. Let q be 4\/8 - (-35)\/g. Suppose 3*j = 5*j - 4. Solve 4*f = j*m + 2*m - 16, 3*m - 17 = q*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.126*0.1\nAnswer: -0.1126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/40*(-8)\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001812692 rounded to four decimal places?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b + 20. What is the remainder when 62 is divided by a(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wc when two letters picked without replacement from uyyyycyyyyyyyyyiuwuy.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.8 and 0.085388.\nAnswer: -0.0683104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -12. Let z(q) = -4*q - 8. Calculate the least common multiple of z(h) and 18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 = 180*n - 176*n, 52 = 33*z - 4*n for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**3 + 2 + 2 - 1 - 7 - 2133*i**2 + 1067*i**2 + 1066*i**2.\nAnswer: -3*i**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (136\/32)\/(6\/(-192)*-12*4\/12)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -0.1, 2 in decreasing order.\nAnswer: 2, 0, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5 + 14 = 0. What is the remainder when 54 is divided by r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -11*x**2 - 9*x + 11. Let l(h) = -5*h**2 - 4*h + 6. What is -6*j(p) + 14*l(p)?\nAnswer: -4*p**2 - 2*p + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 3*q**2 + 9*q. Let k(w) = -4*w**3 + 8*w**2 - 29*w. What is -3*k(y) - 8*p(y)?\nAnswer: 4*y**3 + 15*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3497232*p**2 - 3471754 wrt p.\nAnswer: 6994464*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h - 36*h = 92. Let c(m) = -96*m + 15. What are the prime factors of c(h)?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 4*y + 16, 4*y = 5*j - 8*j + 16. Let d(l) = -16*l**2 + 2*l. Let v be d(3). Let o = -688\/5 - v. Which is the nearest to 0? (a) j (b) o (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3 - 3 - 1 + 18*k. Let d be 12 + -14 - (-4 - (-2 - -1)). Let f be m(d). Solve 3*s + z + 5 = f, 2*s = -3*z + 1 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-3\/4)\/w**6*(w**3\/w*w)**(26\/5) assuming w is positive.\nAnswer: w**(177\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnbbabbba. What is prob of picking 2 b and 1 a?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 7*g**2 + 6*g + 5. Let h(w) = -w**3 + 7*w**2 - 6*w - 5. Let r(j) = -6*h(j) - 7*x(j). Let n be r(5). Solve n = 5*v - 5 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.89 and -0.4?\nAnswer: 0.756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1135, 1132, 1127, 1120, 1111, 1100, 1087?\nAnswer: 1072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*n**2 + 4*n**2 - 5*n**2)*(-29*n + 19*n - 8*n)*(-55 + 24 - 51) to v + p*n + h*n**3 + g*n**2 and give h.\nAnswer: -7380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27393*o**2 - 1042*o - 20 wrt o.\nAnswer: 54786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 40369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 + -20. Let u = -85.76 + 85.78. Which is the third biggest value? (a) u (b) 0 (c) -5 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5129 plus -15478?\nAnswer: -15478.5129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 242923799 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(1\/7))**(-2\/71)*((d*d**(-2)*d)\/d)\/(d*d**(-2\/43)\/d))**(-34))**(-1\/18) assuming d is positive.\nAnswer: d**(-115957\/64113)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3025312 or -3025313?\nAnswer: -3025313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -3*d**2 - 18*d. Let t be y(-17). Let a = t - -923. Does 16 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8395422 is divided by 1399234.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-516)\/(-129)*138\/24?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, -428, -1263, -2476, -4073?\nAnswer: -6060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 41, 66, 93, 122, 153, 186?\nAnswer: 221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/50*4\/(16\/(-60)). Suppose 11*h = 14*h + 2*r - 6873, 4*h - p*r - 9164 = 0. What is h rounded to the nearest 100?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -2*z + 26*b - 24*b, 14 = -3*z - b for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -162.313614 to 1 decimal place.\nAnswer: -162.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (34 - (20 + -33))*(1 + 0) - -1\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by 567.\nAnswer: 10\/567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -121131332213201 + -1?\nAnswer: -121131332213202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36938*u + 18 + 29 - u**2 + 3*u**2 - 49.\nAnswer: 2*u**2 + 36938*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -0.6.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 3 (b) -0.3 (c) -43151 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2697, -2701, -2705, -2709?\nAnswer: -2713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 64 and 32.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 89636186 rounded to the nearest one hundred thousand?\nAnswer: 89600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -336, -11, -56250, -5.\nAnswer: -56250, -336, -11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25636, -204980, -691754, -1639672, -3202448, -5533796, -8787430?\nAnswer: -13117064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p*p\/p**6)**(-29) assuming p is positive.\nAnswer: p**58","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 12310?\nAnswer: -12303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -15825 minus 5?\nAnswer: -15830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -613*a**2*b**3 + 734786*a**2*m**3 - 2*a**2*m**2 + 2*b**3*m**3 + 115*b**3*m**2 wrt m?\nAnswer: 4408716*a**2 + 12*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -817, -818, -819, -820, -821, -822?\nAnswer: -823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11010100110111 (base 2) in base 12?\nAnswer: -7a73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x**3 - 17*x**2 + 13*x**2 + 4*x**2.\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -88.9724 to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/(-72))\/((-476)\/(-120) - 4). Solve 3*c + 17 = 4*m, n*m + 9 - 36 = -2*c for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 - (-4 + (36 - 19))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 324774 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 10 = 2*l, -3*l = i + l + 13. Suppose -10 = -5*r + 16 - 11. Sort r, -74, i in increasing order.\nAnswer: -74, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 51*m. Suppose 0 = -3*d - 3 - 3. Let i(o) = 5*o. Determine d*v(u) + 21*i(u).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of 4*g**5\/3 + 461*g**4\/24 + 2*g**2 + 5*g. Find the second derivative of v(q) wrt q.\nAnswer: 160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1121401531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**3 - 21*q**2 + 11*q - 13. Suppose 11*h - 2377 + 2498 = 0. Calculate u(h).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.8 + 1.1. Let x = 37.956 - -0.044. Let u = 35 - x. Which is the smallest value? (a) 0.2 (b) u (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of u**7\/84 + u**6\/15 - 11*u**5\/40 - 13*u**4\/12 + 7*u**3\/3 + 10*u**2 + 64*u. Let g(z) = 0. Calculate z.\nAnswer: -5, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 4:24 AM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -3) + (3 - (1 + -4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70 - 5*z**2 + 13 + 2*z**2.\nAnswer: -3*z**2 - 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21212012200 - -11?\nAnswer: 21212012211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -32*j**2 + 2550*j - 41357. What is v(57)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 197\/82320 and -181\/19440?\nAnswer: 6667920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**2 + 24*i + 5. Let n be v(10). Calculate the greatest common divisor of n and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 3*h**3 - 2*h**3 + 3.\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -5*i + 31, 4*t - 5*t - 2*i + 37 = 0. What is the remainder when t is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -7. Let k = 1.999965 + g. What is k rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -13779480620094 and 0.33.\nAnswer: -13779480620093.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5609590 rounded to the nearest one hundred thousand?\nAnswer: -5600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 4 + 8*j + 4)*(-14 + 4*j + 14 + (-2 + 2 + 3)*(-1 + j + 1)) to the form d + h*j + p*j**2 and give h.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*sqrt(117) + sqrt(117) + sqrt(117)*-2*-4)\/((sqrt(81) + (sqrt(81) - (sqrt(81) - (sqrt(81) + sqrt(81) + sqrt(81) + sqrt(81)*4))))*5).\nAnswer: 19*sqrt(13)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6221080 a multiple of 1240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: -30 - (-24 + 1) - (4 + (-2 + 12 - -3))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h*h\/h**1*h)*h)**0)**5 assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 1 = -2*d - 1, -d - 3 = -2*t. Suppose 0*i + t*i = 6. Solve -3*s + 0*s + i = 3*n, n + 4*s - 7 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -20*h**3 + 240*h**2 - h + 20. What is m(12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 4*u + 6, 2*y + 0*u - 2*u - 8 = 0. Suppose -2*s - q = 6, q = 3*s + y*q + 9. Calculate the least common multiple of (-5 - s)\/(-2) - -3 and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6*(-132)\/(-32)*(-122)\/3. Let y = 1026 - b. Is y <= 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 s when three letters picked without replacement from {j: 3, t: 2, w: 1, o: 3, s: 3, a: 2}.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 172, 458, 860, 1378, 2012, 2762?\nAnswer: 3628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(28\/8)*1\/2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (((-6)\/5)\/(-1))\/((-4)\/(-40))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aatzazazaaaakaaazaz. What is prob of sequence taz?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 - 10. Let b be (-3)\/4 - 165\/(-44). What is the remainder when d is divided by (2\/b)\/(6\/45)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.7 and -0.11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 30637911 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1129 - -784. Calculate the common denominator of -2 - (d\/175 - -2) and 4\/3.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -184, -377, -578, -787, -1004, -1229?\nAnswer: -1462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5033 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**2 + 9*v - 498 + 3*v**2 + 521. Let t be b(-6). Suppose -3*d = -k + 23494, -9*d + t*d - 46992 = -2*k. What is k rounded to the nearest 1000?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 o when three letters picked without replacement from boqoqoqohoho.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 345118.8 and 957306?\nAnswer: 612187.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 21092, 42176, 63260, 84344?\n\"Answer: 21084*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d**2 - 4*d - 36. Calculate m(11).\nAnswer: 283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from osssoosaoaaoosoa. Give prob of sequence soa.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 2. What is the biggest value in o, -2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/1741 in -0.4, 12, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8342071 and 3537.\nAnswer: -8338534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1330301 - -11?\nAnswer: 1330312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 i when three letters picked without replacement from {c: 1, i: 1, w: 2, l: 4, p: 2}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 3*l - 8 - 6.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1634096 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -5*l**2 + 3*l - 11. Suppose -5*i + 16 = -i. Let k(y) be the second derivative of y**4\/6 - y**3\/6 + 2*y**2 - 2*y. Calculate i*j(w) + 11*k(w).\nAnswer: 2*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*c - 547108 + 544921 = 0 for c.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**3 + j**3 - 2*j**3 + (1 - 6 + 0)*(0*j**3 - 2*j**3 + j**3) - j**3 - j + j - 4*j**3 + 3*j**3 + 0*j**3.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 294530356 less than 294530356?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-75)\/5 + 861\/82.\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-34)\/(-4) + (-7)\/(-2) + -4. Is -1 at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67, -84, -343, -710, -1185, -1768?\nAnswer: -2459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/18649782 and -26\/5180495.\nAnswer: 93248910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*g**3 - 85255*g**2 + 79540880*g - 11401059020 = 0. What is g?\nAnswer: 871\/5, 1618","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 2*b - 5, b + 0 - 2 = 2*w. Let o(y) = 17*y**2 - 5*y - 2. Let d be o(w). Let u = d - 99. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, a: 1, n: 1, c: 2}. Give prob of picking 1 n, 1 a, and 1 c.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1418761959*j**3 + 583764433*j**2 wrt j?\nAnswer: -8512571754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 32\/2979115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*q - 402 = 313 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w + 9*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11895730 divided by -49.\nAnswer: 242770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - ((15250\/(-20))\/(-61))\/((-10)\/(-4)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7663 and 679.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/3, -1, -0.16403, 2, 1\/18?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-162)\/(-45))\/(6\/15)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-19)\/z)\/((z*z\/(z\/(z\/(z\/z**(-1\/3))))*z)\/z))\/((z*z*z*z**(-11\/2))\/z**(-33)) assuming z is positive.\nAnswer: z**(-307\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1650811.\nAnswer: 683, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41 - -51. Calculate the remainder when (21 - 28)*(-51)\/21 is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 4 = 2*r. Let u = -919 + 916. What is the third smallest value in r, u, -0.17?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 21 = 3. Find the second derivative of 10*a - 26*a**4 + 11*a**4 + 7*a**f wrt a.\nAnswer: -96*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/2)\/(1\/4). Let q = -101 + 105. Suppose t - 14 = -t + q*a, -4*t = -3*a - 23. Solve -t*n = -15, 3*x - 3*n = -14 + r for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45598.9770918 - 45599. Let m = 0.2058936 + x. Let a = 0.183 - m. Round a to six dps.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169615 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -3*s, -g + 5*g - 3*s = 12 - 15. Let c(u) = -10*u - 1. Let h(r) = -21*r - 1. Let o(d) = 13*c(d) - 6*h(d). Let k(n) = n. What is g*k(j) + o(j)?\nAnswer: -j - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -389, 322, 1513, 3190, 5359?\nAnswer: 8026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of 0 + 13\/60*z**5 - 11*z**2 + 0*z + 1\/6*z**4 + 0*z**3. Find the second derivative of o(b) wrt b.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 62 + -62. Suppose -x - 14 + 21 = u. Calculate the smallest common multiple of 14 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 813, 21225, 41637, 62049?\n\"Answer: 20412*m - 19599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -19 - -11?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-3*(sqrt(304)*1 + 3 + sqrt(304) - (sqrt(304) + 1)*-2)*1.\nAnswer: 90 + 288*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8\/15? (a) -104 (b) 4 (c) -0.4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6773*u**3 - 8*u**2 + 3*u + 30 wrt u.\nAnswer: 40638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -92 by -1.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 185 - 248 = 0. Let n be q\/(266\/(-53) + 5). Calculate the highest common factor of 9 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ub when two letters picked without replacement from {u: 7, b: 3}?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7903?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 x when two letters picked without replacement from {n: 3, w: 2, x: 4, e: 1}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6160?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10.5 + 3.6. Let o = -3.9 - w. Which is the nearest to -1? (a) 3\/4 (b) 8 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -543 * 2.\nAnswer: -1086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) 5\/3 (c) -12 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 28*f**3 - 13812*f**2 - 3340320*f + 955504 = 0. Calculate f.\nAnswer: -178, 2\/7, 671","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + h - 31 = 0, -2*w = 2*w + 4*h - 28. Suppose -w*z - 3*z = -4400. Let s = z + 85. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/3)\/((-8)\/36). Suppose 5\/3*r**4 - 5*r**2 + 0 - 2\/3*r - 10*r**w + 14*r**5 = 0. What is r?\nAnswer: -1\/2, -1\/3, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/7 - 239\/(-21) and (3 + -5)*(-195)\/50?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 64*y**2 - 101*y - 44. Give j(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -55 - -56. Which is the biggest value? (a) 1.4 (b) -2\/5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a millennium in decades?\nAnswer: 2150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 - 5*m**2 - 6*m**3 + 3*m**2)*(-2*m**2 - 4*m**2 + 4*m**2).\nAnswer: 12*m**5 + 2*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12496*d**2 - 5879*d**2 - 5981*d**2)*(3*d**2 - 4*d**2 + 3*d**2) + (-d + d - d**2)*(d**2 - 3*d**2 + d**2) - 2 + 2 + d**4.\nAnswer: 1274*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 4*q**2 - 2*q - 5. Let j be i(-4). Calculate the least common multiple of j + 13 + (-3 - -3) and 18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -0.5 (c) -1\/3 (d) -11\/512 (e) 0.02 (f) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(133\/2) + (7500\/(-38))\/(-6) + 7\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {m: 7, t: 8, p: 3}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-2\/13))**(-46)\/(((a*a**(-10))\/a)\/(a\/(a**(-20)*a*a*a))) assuming a is positive.\nAnswer: a**(-142\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, -4, -35, -78, -133, -200, -279?\nAnswer: -370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13 - -2168?\nAnswer: 2155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 110800000 rounded to the nearest 1000000?\nAnswer: 111000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in -4\/5, -1\/2, -3, -0.06, -1?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000000101100010110011101 + -101?\nAnswer: -1000000101100010110100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (63\/(-294))\/((-3)\/21*1)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3075830 rounded to the nearest 100000?\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 188 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167851 is divided by 5245.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-1*(1 + 1)). Let n = 0.052 - 47.052. Sort 1\/5, r, n in ascending order.\nAnswer: n, 1\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55367981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 884562 is divided by 12816?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 62 or 377\/6?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -1863*c**2 + 7412*c + 109. What is l(4)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2248, 2100, 1848, 1486, 1008?\n\"Answer: -x**3 - 46*x**2 - 3*x + 2298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -919, 0, -2, -1.\nAnswer: -919, -4, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of m**7\/525 - m**6\/50 - 6*m**5\/25 + 43*m**4\/30 - 3*m**3 - 169*m**2. Factor a(h).\nAnswer: 2*(h - 9)*(h - 1)**2*(h + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 greater than -54?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 10 = 5*g. Suppose -3*h = -2*p + 6, -g*h + 0*h + 4*p - 4 = 0. Let y = 0.7 - 0.2. Which is the nearest to h? (a) 2 (b) y (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76846 is divided by 5911.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 31 - 9 = 0. Let y(f) = -5*f - 9. Let b be y(-6). Let d = b - s. Solve 4*j = 4, 5*i - d = -5*j - 0*j for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -8*y - 908. Let l(x) = -18*x - 1819. Calculate -7*j(h) + 3*l(h).\nAnswer: 2*h + 899","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-52)\/(-1430))\/((-5)\/25). Put m, 1\/2, -108 in increasing order.\nAnswer: -108, m, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -546 divided by 1244?\nAnswer: -273\/622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**3 - 9 + 9*n**4 + 1 - 8*n**3 + 6 in the form i*n**2 + q + r*n**4 + c*n**3 + t*n and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -61378 - 544?\nAnswer: -61922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 5 + 5)*(-4*d**3 + 5*d**3 + d**3)*(188*d + 274 - 274).\nAnswer: 752*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.73? (a) 0.1 (b) 2 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}