diff --git "a/data/dm_maths/full_data_1/1538_11255.jsonl" "b/data/dm_maths/full_data_1/1538_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1538_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let y(u) be the first derivative of -5*u**4\/2 - 3*u**2\/2 + 43*u - 91. Find the first derivative of y(p) wrt p.\nAnswer: -30*p**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 96*o - 75*o. Solve j + o = 2*i - j, 0 = -2*i - 4*j - 16 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*y - 39*y = -40 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**2 + 3*a - 7. Let p be j(-5). Suppose -4*d - 5*h + 82 = 0, -4*h - p = -2*d - 0*h. What is the greatest common factor of d and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*i**2 + 40 - 40 to the form o + g*i**2 + x*i and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 275*f + 282*f + 284*f - 843*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 6*v**2 - 5*v - 48. Let g be m(-5). Solve -2\/5*y - 7\/5*y**g + 0 = 0 for y.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -180 or 2\/5?\nAnswer: -180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + (-6)\/3 - -2. Let h be ((-64)\/6)\/(-4) + s. Let j = 0.06 + 0.34. What is the nearest to 0.1 in j, h, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 739816?\nAnswer: 2, 7, 11, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -37867, -37854, -37815, -37738, -37611, -37422, -37159?\n\"Answer: 2*f**3 + f**2 - 4*f - 37866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -114, -440, -984, -1746, -2726, -3924, -5340?\nAnswer: -6974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 0.5, 0.3, 30\/53?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*w = 4 + 3 - 7. Suppose 4*d + 21 = 37. Factor 1\/7*h**d + 0 + 0*h**2 + w*h - 1\/7*h**3.\nAnswer: h**3*(h - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 742.\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -8*x - 2. Let p be o(-2). Let t be ((-3)\/1 - -1) + p. Suppose -13*u + 12*u + 11 = 0. Is u equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 310*i + 849*i - 462*i + 2257*i to the form o*i + a and give o.\nAnswer: 2954","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01*-14.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -5*m - 40, 3*m = -5*u + 2*m + 16. Let s = 6.6 + -7.6. Which is the closest to s? (a) -0.1 (b) u (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 112496 and 237.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -r**4\/12 - 5*r**3\/6 + 5*r**2 - 6*r. Let t be j(-7). Suppose -5*g = 7 + 8. Is t at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - k - 2*g - 223, 5*k + 3*g - 397 = 0. Let h = 170 - k. What is the greatest common factor of h and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2\/11)\/i**(2\/27)*i**(-1\/3)*i*i*i\/(i\/i**(-1\/5))*((i\/i**11)\/(i**(-15)*i))**(-30) assuming i is positive.\nAnswer: i**(-176402\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -26 in -0.5, 0.37, 0.01, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 12. What is the units digit of 3\/d*(-88)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -209, 1, -4, -7, -14, -2 in ascending order.\nAnswer: -209, -14, -7, -4, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - t - 2*t = -36, 24 = -2*s - 3*t. Let h be 2\/(-1)*1 - (-14 - s). Suppose 5*m + 515 = -n + 3*n, -n - m + 254 = h. List the prime factors of n.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 641541321.\nAnswer: 3, 71282369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 5 = -3. Let i(q) = 27*q**2 + q. Let k be i(h). Calculate the remainder when (9 - 8)*k\/2 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.617714251 rounded to zero decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 112118, 221809, 331514, 441239, 550990?\n\"Answer: l**3 + l**2 + 109681*l + 2435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 3*s + 4272, -4*s - 4747 - 624 = -5*z. Calculate the highest common divisor of z and 252.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-17131343.\nAnswer: 1713134.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43 + 121 + 26)*(-4 + 1 + 4)*((-2 + 0 + 0)*(-1 + 2 - 3) - 2 + 0 + 1)*(2*k + 3*k - 2*k).\nAnswer: 936*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.13823 millennia in decades?\nAnswer: 4613.823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -r**4 - 5*r**3\/6 - 5*r**2\/2 + 15*r + 1. Let c(t) = 18*t**2 + 8*t + 8. Give -5*c(l) - 8*j(l).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 - 29. Let a(p) be the first derivative of -2\/3*p**3 + 0*p + m + 0*p**2. Let y(j) = -j**2. Determine a(y(s)).\nAnswer: -2*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -n - 2. Suppose -q = -3*f + 10, -3 = -4*f + 3*q + n. Solve 5*y + 0*h - 4*h + 3 = 0, -24 = 3*y + f*h for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + s**2 - 2*s - 6. Let p be o(2). Factor 0 + 0*c + 1\/3*c**3 + 1\/3*c**p.\nAnswer: c**2*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 - (84\/39 + 4\/(-26)). What is the third derivative of 13*o**6 - 10*o**2 - 227*o**6 - 56*o**s + 10*o**2 wrt o?\nAnswer: -25680*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**2 - 2*y**2 + 3*y**2 - y**2 + 0*y**2 - y**2 + (-2*y + 3*y - 2*y)*(2 - 2 - 2*y) + 3 + y**2 - 3 + (16*y - 3*y - 2*y)*(0*y + 10*y - 26*y).\nAnswer: -174*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 726138 is divided by 34?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 9:41 PM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 49484 or 2226821\/45?\nAnswer: 2226821\/45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1725268 is divided by 132711.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -121 + 746. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (44*j + 194*j + 29*j)*(0 - 2 + 1)*(-1 + 2 + 1) to p + s*j and give s.\nAnswer: -534","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 95 - 90. Sort 0.3, 3, 3\/2, t in increasing order.\nAnswer: 0.3, 3\/2, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*m**5 + 0 + 242\/3*m**3 - 11*m**4 + 0*m + 0*m**2.\nAnswer: m**3*(m - 22)*(m - 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p + 3*p**2 - 4 - 2*p**2 - 6)*(2 - p**2 - 2) to the form g*p**2 + z*p**4 + w*p**3 + k*p + x and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*g + 2069 + 1273 = 234 for g.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145 divided by -2686.\nAnswer: 145\/2686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(11\/(-4) - 6\/(-8)). Sort 3, -2, -15, y in decreasing order.\nAnswer: 3, y, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1179 + 3?\nAnswer: 1181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 5:46 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 4) to base 14\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mfmfmbfmmmffmfmfmmmm. What is prob of picking 1 b and 1 m?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 129 and 2193?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -3*r**5\/10 - r**4\/4 + r**3\/6 - r**2\/2 - r. Suppose -21*m - 42 = -7*m. Is a(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 647 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2443)\/91 + 27 - (-15)\/(-13) - -54?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2309*x + 310*x + 251082 = 887*x for x.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -29*d - 18. Calculate x(2).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e4105 + -4?\nAnswer: e4101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.49 and -4.\nAnswer: -9.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262*g + 611 = 215*g for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29243*z + 28316*z = -76014 for z.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -341 - 340 - 357 - 2*a - 346 + 1384. Suppose -3*o + 8*o = 10. Let d(g) = -g - 1. Let x(s) = -5*s**2 + 2*s. Let i(j) = o*d(j) + x(j). What is i(z(f))?\nAnswer: -20*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*u**2 + 24*u**3 + 34*u**3 - 20*u**2 - 26*u**2 - 130*u**2 in the form t*u**3 + a + x*u + i*u**2 and give i.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5942*l + 11386 - l**3 - 10243 + 5917 wrt l?\nAnswer: -3*l**2 - 5942","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 95173 and 65.\nAnswer: 475865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 276676 a multiple of 263?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 198 and 12?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1196)\/(-276) + 1\/(-21). Let r = 1 + 4. Is d > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 5*t**2 - 8*t - 9. Let m be u(-6). Let d be -20*(m\/(-4) - 0). Solve 4*n - 5*q = -0*q - d, 5*q + 25 = -4*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/7*g + 4\/7 + 4\/7*g**2.\nAnswer: 4*(g - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 5:24 AM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 33\/5 - 48\/(-80)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3993760.\nAnswer: 2, 5, 109, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11012222 (base 3) to base 12.\nAnswer: -1945","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z**3\/7 - 586*z**2 + 9288*z\/7 + 9270\/7 = 0. What is z?\nAnswer: -515, -3\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l**2 + 22*l - 26. Let d be i(6). What is the biggest value in -15, d, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q + 5. Suppose 134 - 44 = -15*m. Let d(w) = -w - 6. Let z(a) = m*s(a) - 7*d(a). What is z(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -4) + -2 - 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 + -25. Let y(r) = -264*r + 5. Is y(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7121970 less than or equal to -7121973?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -5*j + 3. Let l(z) = 11*z - 7. What is -5*f(d) - 2*l(d)?\nAnswer: 3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -105 - -108. Suppose -w - 401 = -2*w - n*i, 2*w + i - 792 = 0. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (((-20)\/(-4))\/20)\/(1\/12). Solve 2*o + l = -0*o - 4, 3*o + d*l + 3 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 1683?\nAnswer: 1679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -191\/44730 and -15\/161.\nAnswer: 1028790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5773\/4 + 1461. Let g = 648 + -11783\/18. What is the common denominator of i and g?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 9. Sort -1, -4, w in decreasing order.\nAnswer: w, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -7*v - 5*v + 45. Solve -6*s + s + 10 = 5*k, 0 = 5*k - v for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 8)\/(-24)*(-39)\/(-91)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m - 41*m**2 + 23*m**2 + 3*m.\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i**(-10)\/i)\/i**(-3))\/(((i\/i**0)\/i*i*i)\/i)**13)**(-5\/17))**(1\/40) assuming i is positive.\nAnswer: i**(21\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of 3*v**2\/2 - 10*v - 1. Let j be x(4). Let k = j + 3. Sort 0, k, 6 in decreasing order.\nAnswer: 6, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.84 in -1, -0.3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44 - 44.2. What is the third biggest value in 2\/3, -0.1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, 5, 0.18, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 187 = -3*c + 173, 4*c + 101 - 9 = -57*y + 11 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -37?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3.3 times -0.5\nAnswer: 1.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 v, and 2 b when four letters picked without replacement from {b: 2, r: 8, v: 5}?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75591.31mm to centimeters.\nAnswer: 7559.131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -46, -107, -214, -379, -614?\nAnswer: -931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-5) + 144\/15. Suppose -q = -z - 0*z. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 555.3838 weeks in nanoseconds?\nAnswer: 335896122240000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 83844 and 24.\nAnswer: 167688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1409? (a) 5 (b) 1\/5 (c) 0 (d) -645\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3542 + 3542. Put 3, o, -0.5, 0.04 in decreasing order.\nAnswer: 3, 0.04, o, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-71307)\/228)\/139)\/(3*(-4)\/192)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -65 (b) -4 (c) -647 (d) 2\/15 (e) -1\/59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11355 - -11414.964. Let w = 126 - 66. Let r = w - i. Round r to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18012434, -36024871, -54037308, -72049745?\nAnswer: -90062182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1003\/26 + -105\/13. What is the common denominator of -4 + (3564\/(-40))\/11 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -6*t + 2. Let u(f) = 656*f - 2. Calculate -u(j) - v(j).\nAnswer: -650*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 19000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 1:35 PM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2547)\/(-99) + (0 - (-9)\/33). Solve -3*s + 19 = 2*m, -2*s - 2*m = 10 - j for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t + 167*t**4 + 22*t**2 + 2 + 29*t**2 - 52*t**2 + 43*t**3 - 189*t**4 as c*t**3 + u + o*t**2 + x*t + f*t**4 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 104238877*u**6 + 9*u**2 - 2466652*u?\nAnswer: 12508665240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 - 8 - ((4 - 8) + (4 - 6) + 3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53973?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0485089 litres to millilitres.\nAnswer: 48.5089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-64)\/2080*5*1.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-20)\/c*c**(5\/6))**(-14\/15) assuming c is positive.\nAnswer: c**(847\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/54352 and 47\/912.\nAnswer: 3098064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/6 (b) -2 (c) -16 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1252 by 313.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = -3*d + o, d + o - 56 = -19. Suppose 0 = -3*y, 0*t - 4*t = y - d. Solve -3*z + t*z = -s + 27, s + 8 = 2*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ywh when three letters picked without replacement from wmmymhmmhehywm.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -4*d**2 - 5*d + 29. What is h(9)?\nAnswer: -340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -143013002 (base 5) to base 9\nAnswer: -1364156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vdvffuvuv. Give prob of sequence fdf.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 54, 1.5, -4\/3, -0.1, -226?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 141? (a) 3.47 (b) -133 (c) 2 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + i, 3*i = -2*a + 74. Let j = a + -20. Is j a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of 3*m**2\/2 - 9*m + 5. Let z(y) be the second derivative of y**3\/6 - y**2 - 7*y + 10. What is 2*p(j) - 9*z(j)?\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10)\/(-5) + (-3 - 483)\/(-3) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 25 - 10\/((-50)\/35). Let x be 10*3\/6 - (1 - k). Calculate the highest common factor of x and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 1 = -u. Suppose 0 = u*d - 2*d - 392. Does 27 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5*(16820\/600)\/(-29). Let c(o) be the second derivative of x*o**3 + 0 - 23*o + 0*o**2 + 11\/4*o**4. What is the second derivative of c(l) wrt l?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m - 26. Let z be s(-9). Let g be z\/(-2) - (2414\/(-4) - 3). List the prime factors of (14\/(-6) - -1)\/(-4)*g.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3923.6927 and 11.\nAnswer: 43160.6197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 952.\nAnswer: 3, 5, 952","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9*4\/96*4)\/3.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - -1)\/((-6)\/(-4)). Let r(i) = 2*i**3 - 4*i**2 + 4*i - 2. Let a be r(f). Let l(g) = -2*g + 9. What is l(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 8:09 PM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of -g**8\/168 - g**7\/35 - 3*g**6\/80 - g**5\/60 + 11*g**2. Factor x(k).\nAnswer: -k**2*(k + 2)*(2*k + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2937 is divided by 245.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11130.\nAnswer: 2, 3, 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -607, -1214, -1821, -2428?\nAnswer: -3035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -42729*b - 213149. Determine z(-5).\nAnswer: 496","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 4*t**2 - 3*t + 6. Let d be r(-5). Let h be (-1 + 3\/6)*-4. Let y(a) = h*a + 2 - 1 + 1. Calculate y(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 12 = 2*b. Suppose -b*x + 55 = -14. Suppose 0 = 116*d - 4938 - 2950. What is the remainder when d is divided by x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 466 - 9. Suppose -5 = 3*g + y. Let t be g\/(-8) + 5\/(-20). Round t to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2749194838 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/8 and -7\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*i - 6*i + i)*(0*i - 2*i + 0*i) - 11*i - 19*i**2 + 16*i**2 + 0*i - i**2 - i**2 + i**2 as m*i**2 + u*i + z and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2100)\/(-500) - (2 - (-18)\/(-10)). Let k(q) be the second derivative of -3\/5*q**2 + 0 - 3\/10*q**3 - 1\/20*q**r - q. Let k(i) = 0. Calculate i.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-31 - (2 + -5)) - (162 + -168)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 12.3039 and 1448.1.\nAnswer: 1460.4039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 15380 rounded to the nearest 1000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7921301 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94060248 is divided by 44?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of 1\/30*o**6 - 1\/6*o**3 - 1\/60*o**5 + 0 + 1\/8*o**4 + 2*o**2 + 0*o. Is l(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n**2 + 93*n + 4225. What is l(56)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -59*i + i**3 - 23*i + 8*i - 261 + 262 to o + c*i**2 + d*i**3 + t*i and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -377843356387946 + 377843388039273.4999962. Let n = 31651324 - b. Let v = n + 3.5. Round v to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.6139 rounded to one decimal place?\nAnswer: 20.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1419 - 1420. Which is the smallest value? (a) -1\/11 (b) w (c) 0.4 (d) -1\/3 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -6*x**3 + 3*x + 2. Let i be s(-1). Solve -z + 25 = -5*o, i*z = 3*o - 8*o - 25 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11632\/3 - -3884. Factor -4\/3*z**2 + 8 + y*z.\nAnswer: -4*(z - 6)*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -1\/3*g**3 + 0 + 5*g**2 + 0*g**5 + 0*g**4 + 0*g - 1\/40*g**6. Differentiate v(z) with respect to z.\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/(-18) - (-40)\/12. Suppose c - 4 = -2*j. Suppose 4*f = -3*p + 272, -3*f + 2*p - 100 + 304 = j. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55153 + 48052 = -4049*q - 3321*q + 199259 for q.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -126 * -29.\nAnswer: 3654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + 0. Suppose -3*p - f = 25, 13 = -5*p + n*f - 23. Let i(t) = -t**2 - 7*t + 10. Let v be i(p). Which is smaller: 2\/3 or v?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -27. Does 2 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -3*l**2 - 111*l + 924 = 0?\nAnswer: -44, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/2))**(-15\/7) assuming x is positive.\nAnswer: x**(15\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1452 and -0.73615.\nAnswer: -1068.8898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 664751?\nAnswer: 17, 39103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/4572 and 95\/16342614.\nAnswer: 32685228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2142.6 + -1735.596. Let m = 407 - x. Round m to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02*61294.\nAnswer: -1225.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/3 (b) -8411\/73 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 15666000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190 = 29*q - 34*q. Let j be (-10)\/(-40) + 14\/8. Let o(b) = q*b**j - 21*b**2 - 19*b**2. Let y(k) = -4*k**2. Calculate o(y(v)).\nAnswer: -32*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 4195520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/1)\/(((-36)\/(-20))\/3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 13*g**3 + 188*g**2 + 5*g - 14. Let c(h) = 11*h**3 + 188*h**2 + 4*h - 12. Determine -6*c(p) + 5*f(p).\nAnswer: -p**3 - 188*p**2 + p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/8 - 3*(-4)\/(-8). Let y(t) = 34*t**2 - t - 1. Does 9 divide y(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -4226*i - 207072. Let x be z(-49). Find m, given that -20\/3*m**4 + 0*m + 0 + 1\/2*m**3 + 0*m**x = 0.\nAnswer: 0, 3\/40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -394 - -1968\/5. Put 1, q, -18 in descending order.\nAnswer: 1, q, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 8*r**2 - 5. Give y(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -754 greater than -524?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 7:50 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 306 = -3*a, 2*y - 6*y = -3*a + 306. Suppose 0 = -0*i - i - h + a, -2*i + 5*h + 183 = 0. What are the prime factors of i?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -0.2, 3287, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 6:54 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 + d - d + (-1 + 2*d + 1)*(-42*d - 17*d + 4*d) + 3*d - 3*d + 6*d**2)*(7*d**3 - 4*d**2 + 4*d**2).\nAnswer: -742*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -127 - -180. List the prime factors of m.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*n**4*v**3 - 165*n**4 - 6*v**3 + 5*v wrt n.\nAnswer: 8*n**3*v**3 - 660*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 2\/9, 1672\/9 in descending order.\nAnswer: 1672\/9, 3\/7, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, 21, 0 in decreasing order.\nAnswer: 21, 0, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -374?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3604773?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28057 (base 10) to base 14.\nAnswer: -a321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 675 = -3*k, -28*k = -4*r - 33*k + 2721. Let j = r + -718. Which is bigger: -43 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(133) + 1*sqrt(133)*2 + sqrt(133)))\/(sqrt(70)\/(sqrt(30)\/sqrt(3)) - -1*sqrt(7)*6).\nAnswer: -4*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 6. Let v(u) = 3*u + 57. Let p be v(7). Suppose 3*z - 36 = -3*j + p, i*j = -15. Does 8 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0816 + -6.98?\nAnswer: -6.8984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/24 and -25\/20588?\nAnswer: 123528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-56)\/756)\/(-17*2\/(-51)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t**4\/3 + 11708*t**3\/3 + 101312*t**2\/3 + 66484*t\/3 - 7712 = 0.\nAnswer: -723, -8, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 4*n + 74, 0 = -n + 2*v + 3 - 23. Let d = n + 17. Let m be 0\/1 + 6\/15. Which is the nearest to -2? (a) m (b) -0.5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.373917 days in microseconds?\nAnswer: 637106428800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 77996.46 and -126412.\nAnswer: -48415.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3b276cc9 - 5?\nAnswer: 3b276cc4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13429 divided by 120.\nAnswer: -13429\/120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 271644677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do -1739 and 0.2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.023250826 to five decimal places.\nAnswer: -0.02325","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170*m**2 + 127*m**2 - 65*m**2.\nAnswer: 232*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of 1591*p**9\/252 - 771*p**5\/20 + 3555*p**2. Find the third derivative of t(n) wrt n.\nAnswer: 381840*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 17*y**2 + 44*y - 4. Calculate n(3).\nAnswer: 281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(3) - sqrt(3)) + 4 - sqrt(432))**2.\nAnswer: -88*sqrt(3) + 379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of 0*q**2 - 2*q + 1\/3*q**3 + 0. Let o(d) = 3*d**2 + 5. Let a(x) = -3*x**2 - 6. Let z(v) = -5*a(v) - 6*o(v). What is z(k(j))?\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.3 - 4. Suppose o = 5 - 3. Let x = 0.1449 - -0.8551. What is the nearest to x in o, k, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -354, 0, 7, -4, -1, -57 in ascending order.\nAnswer: -354, -57, -4, -1, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 261426.8g to milligrams.\nAnswer: 261426800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -10. Let k(n) be the first derivative of 0*n + 1\/2*n**2 + 0*n**4 - 1\/3*n**6 + 0*n**3 + r*n**5 + 1. Find the second derivative of k(g) wrt g.\nAnswer: -40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(3\/(-2))\/((-9)\/(-12)). Suppose -o = 3*h - 12, -h + y*o = -o - 14. Solve 0 = 4*v - 8, -v + 4*v = -h*u - 19 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2 - 1160*s - 10764.\nAnswer: 4*(s - 299)*(s + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2282, -2281, -2280, -2279?\nAnswer: -2278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k + 15. What is i(-17)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -81 + 163\/2. Let j(v) be the second derivative of 0*v**3 - 1\/15*v**6 + 0*v**4 + 0*v**5 + 0 - 3*v - w*v**2. Find the first derivative of j(z) wrt z.\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7530\/13 or 0.7?\nAnswer: 7530\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t = 16*t, 0 = 3*k + 5*t - 12144. Suppose -100*i = -92*i - k. What is the remainder when i is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -24*t + 1276. Give z(55).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 0*u = 5*o - 67, -3*o - 3*u + 39 = 0. Suppose -4*c - 5*r - 222 = -c, 5*r = o. Which is bigger: c or -78?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + -1 - (66 + 76 + -122) - 13?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -1. Let c(f) = -3*f - 25. Let t(g) = -c(g) + 5*i(g). Let y be t(-5). Suppose 4*j + 90 = y*o + 3*j, 5*j + 18 = o. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46 + -45.986. Let w = z + 0.186. Sort 8, w, -2\/5 in decreasing order.\nAnswer: 8, w, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -98 or 5387427?\nAnswer: -98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (75 - 0) + (-11061 - -11046).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*d - 30778 + 30512 = 0 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**2 + 3*i**2 + i**3)*(-i + 5*i - 5*i + (-2*i + 0*i + i)*(-3 + 0 + 1) - 3*i + 1 - 1).\nAnswer: -2*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 9, 27, 69, 147, 273, 459, 717, 1059?\n\"Answer: 2*n**3 + 4*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142 - 117 = -37*g for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1470) - ((sqrt(1470) - sqrt(1470)*1)*-4 - sqrt(1470)))\/((2*sqrt(30)*-6)\/sqrt(5)).\nAnswer: -7*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.113866676 to four decimal places.\nAnswer: -0.1139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7 - 6\/(2 - -1). Suppose -v*l = -0*l - 15. Suppose -4*x - 25 = x, -4*g = 4*x + 24. Put g, 1, l in descending order.\nAnswer: l, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/12 and 101\/16760.\nAnswer: 50280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 - 26.1. What is the closest to -2\/9 in 1\/4, -1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1584) + 3 + ((sqrt(1584)*-2 - sqrt(1584)) + sqrt(1584))**2 + -5.\nAnswer: 12*sqrt(11) + 6334","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -277?\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 9, h: 1, k: 1, d: 6}. What is prob of sequence kdd?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 822369 is divided by 582.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1786*w = 880*w - 45300 for w.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*o**5 + 2*o**3 - 529*o**2 + 2*o**5 + 5*o**3 wrt o?\nAnswer: -1020*o**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*m - 4*d + 7 = 0, -5*m - 2*d + 9 = 0. Suppose 2*r - 13 - 3 = 0. Differentiate -w + 2*w + m - r*w wrt w.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = 1 - 7 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 11:43 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 3:33 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -113*z + 8325. Calculate the remainder when q(-8) is divided by 130.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18318 <= -2686?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - 2*l - 4*l - 2)*(-3*l - 32*l - 14*l) + (l - 7*l + 3*l)*(-1 + 1 - 2*l).\nAnswer: 104*l**2 + 98*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 + 3*x + 1. Let k be c(3). Suppose 0 = 318*z - 1171 - 101. Solve -v + k = z for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117 = -2*z + 5*y, 647*z + y = 650*z + 195 for z.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 22*k**2 - 21*k + 5. Let g be q(-21). Suppose d - 4*d - 3*z = 15, z = 3*d - g. Solve d = 3*u - 0*u + 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 30*f - 1. Let t be x(28). Suppose 6*s - 2*s - 12 = 0. Suppose 0 = s*w, 5*b + 3*w = 5*w + 55. What is the greatest common factor of b and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 185 - 20. Calculate the least common multiple of g and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.9? (a) 1 (b) -9 (c) -12544\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*z + 10. Suppose 0 = -0*w - 3*w + z*r - 59, -3*w + r - 64 = 0. Let n = 58 + w. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-550)\/(-200)*128\/2992?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -5*a**3 - 2570*a**2 - 10200*a = 0.\nAnswer: -510, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - 6. Let u be z(-6). Suppose -3*r = -0*r - u. Calculate the remainder when r is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d + 13153*d**2 - 3*d - 13149*d**2.\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48 + -47.871. Let p = 0.1776 - r. Round p to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*s + 794120 - 73928. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q - 12*q - 20 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight fifteenths of a century?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 + 1. Let x(s) = 28*s**2 - 42. Let z = -165 - -123. Let n(k) = z*f(k) - x(k). Let l(c) = 7*c**2. Calculate l(n(v)).\nAnswer: 1372*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 3*a - 2 = 0, -3*a + 5*a = 4*b + 16 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + -6*sqrt(11)*1 + 5 + 5 - (-1*sqrt(275)*-4 + -3*((2*sqrt(275) - sqrt(275)) + sqrt(275))))**2.\nAnswer: 100*sqrt(11) + 375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 + 4. Let v = -21.05 - w. Which is the nearest to v? (a) -1 (b) 5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of 7*h**5\/20 - 5*h**4\/6 + 5*h. What is the third derivative of v(t) wrt t?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3128479?\nAnswer: 79, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 6*x + 5. Let o = 6\/11 + -64\/77. Let z = -13\/21 - o. Is z at most x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*o**4 + 2*o**3 - 2*o**3 - 20*o**4 - 16*o**4 + 9*o**4 + (3*o**2 + 2*o**2 - 4*o**2)*(o - o**2 - o) as y*o + b*o**3 + q*o**4 + i + w*o**2 and give q.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 15*g + 1. Is z(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 25 = -5. Suppose 0 = 5*i - 2*p - 50, l*i + p = -i + 35. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5159.\nAnswer: 7, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15*(-15)\/300*-36)\/(-1)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 6 = 4. Let w(h) = -h**3 - h + 1. Calculate the smallest common multiple of w(0) and 2\/n*-2 - -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.931415 months to millennia.\nAnswer: 0.00216095125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.508 + 6.308. Which is the nearest to -1\/4? (a) q (b) -0.5 (c) 2\/55 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3870 or -3873?\nAnswer: -3873","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w - 6*v + 2*v + 10, 3*w + v = -3 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*p = 57*p. Which is smaller: p or -2\/47?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1184006910 to the nearest integer?\nAnswer: 34409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1072900 - 541509. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-9 - (0 + -5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, d: 1, p: 1, e: 1, o: 1}. Give prob of picking 1 d, 1 p, and 1 e.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(336)*-1)\/(4*sqrt(192) + sqrt(192) + sqrt(192) + sqrt(3)))**2.\nAnswer: 16\/343","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -36*d + 137 + 43 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of 3*v**5\/5 + v**4\/4 + 20*v**3\/3 - v**2 + 3272*v + 2866. Find the second derivative of k(q) wrt q.\nAnswer: 36*q**2 + 6*q + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2259 or 15723?\nAnswer: 2259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 12 = 4*q, 0*q + 6 = -2*u - 4*q. Let b be (1 - 0 - -1) + u. Sort b, 4, -4 in increasing order.\nAnswer: -4, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in -0.3, -0.1, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 780 < 10905\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5328*q = 5315*q + 78 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22852137*t**4 - 10280*t**2 + 68*t wrt t.\nAnswer: 548451288*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 52322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -68.09031 to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7363?\nAnswer: 37, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 3*l - 21, -4*s - 4*l = -s - 2. Let j be (-3)\/s*0*1. Solve -3 = 3*n - j for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 350024491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(((p**(-1\/3)*p)\/p)\/p)\/p*p*p*p*p\/p**2)\/(p**(2\/7))**(2\/3)*((p**(3\/8)*p)\/p**(-6\/5))**(-27) assuming p is positive.\nAnswer: p**(-58001\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -14*k**6\/5 + 1931*k**3\/6 + 114*k**2 - 4*k. Differentiate p(i) with respect to i.\nAnswer: -1008*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -4c4138?\nAnswer: -4c4137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*q = -10*q + 41160. What are the prime factors of q?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, 7, 2 in descending order.\nAnswer: 51, 7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19 and 36?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/10*(-80)\/(-24). Suppose t*k - k = 399. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.732942 + 551.874042. Let g = j + -546. Round g to two dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a + 271108 - 485604 = 679133. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/(-4)*(-15 + 13). Suppose t*z = 3*z. Suppose 0 = -5*n - 5*g - 5, 5 = -n - 2*g - 1. Solve -v - 2*y = 3*v - n, -4*v + 4*y + 4 = z for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 2 - (3 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2160 is divided by 498.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.133123 millilitres?\nAnswer: 0.004133123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -5*r - 1. Let z(h) = -h**3 - h**2 + h. Let g be z(1). Let w be s(g). Suppose -3*u + 40 = w. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.3, -2\/15, 17?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - (-3 + 0))\/1. Suppose f*y - 1 = -4. Is (-1)\/((-128)\/(-130) + y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c - 3*c - 40 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -120306.3100829089 - -478.1557815589. Let p = y + 119865.1543. Let w = p - 37. Round w to 7 dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -20010 and -510162.84.\nAnswer: -530172.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 4264423.8907 and -975.\nAnswer: 4263448.8907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7314 a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6720303 is divided by 30?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 56*o = 60*o, 4*o + 20 = 0 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 512641.105 rounded to the nearest one hundred?\nAnswer: 512600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 273023 and 596477?\nAnswer: 1739","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**2 - 125*q - 185. Calculate x(-60).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3930.61 - -3912. Let m = a - 0.39. Let p = 19.009 + m. What is p rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/((-24)\/9))\/((-6)\/32). Suppose -5*n + i*n = 13710. Is n*(4 - (-35)\/(-10)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q + 35 = 21 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 7*l**3 - 4*l**2 + 3. Suppose -5*w = 5*d + 15, -5*w + 10*w - 30 = 4*d. Let z(y) = 8*y**3 - 5*y**2 + 3. What is d*z(u) + 6*k(u)?\nAnswer: 2*u**3 + u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3222146, -6444300, -9666460, -12888626, -16110798?\nAnswer: -19332976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/128470 and -46\/1653.\nAnswer: 7322790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 649018 is divided by 700.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/((-4)\/(-2))*-10. Suppose i*g = g + 5*z + 197, 41 = g - 4*z. Calculate the remainder when g is divided by 114\/8 - 3\/12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2, -0.5, 91, -87?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -4*o. Let g(h) = 2*h - 15 + h**2 + 9 + 7*h. Let v be g(-10). Let w(n) = -6*n**2 - v*n**2 + 4*n**2 + 3*n**2. Determine w(t(i)).\nAnswer: -48*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-7*k + 4*k + 0*k)*(-2*k + 0*k + 5*k) + 5*k**2 - 3*k**2 - 4*k**2)*(-221*k - 3 + 223*k + 9) in the form f*k**3 + x*k + b + s*k**2 and give s.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3043.9 - 3042. Is 11 smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*r + 11\/3 + 1\/3*r**3 - 11\/3*r**2.\nAnswer: (r - 11)*(r - 1)*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -2*f**5\/13 + 212*f**4\/13 - 6200*f**3\/13 + 30000*f**2\/13 = 0.\nAnswer: 0, 6, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010101000100111011 (base 2) to base 3.\nAnswer: 1011000121112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**2 - 17*g - 16. Let d be p(-8). Suppose 0 = 3*s + s + 28. Is s < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20a39 (base 15) to base 8\nAnswer: -312202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by 38?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a meter in millimeters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 n when three letters picked without replacement from snnsns.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -6, 13, 2.29.\nAnswer: -6, -1, 2.29, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 78.98678 millilitres?\nAnswer: 0.07898678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 5 - 1 - 5*x - x**2 + x. Let o = 125 - 213. Let y = o + 82. Determine a(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 185 - 3*o - 489 + 204 to q*o + j and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 19730.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -4*i + 1126 + 82, -2*s + 632 = -5*i. Calculate the least common multiple of s and 14.\nAnswer: 2142","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of 0*d**2 - 1\/48*d**4 - 1\/24*d**3 + 2*d + 0. Let h(i) = 0. Calculate i.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5773*b**4 + 38*b**2 + 433 wrt b?\nAnswer: -138552*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 1204*x**2 - 60*x - 20. Let v(k) = -172*k**2 + 9*k + 3. Let y(z) = -3*f(z) - 20*v(z). Let g(r) = 6*r. Give y(g(j)).\nAnswer: -6192*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 14214, 14215, 14216, 14217?\n\"Answer: d + 14213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 2754763\nAnswer: -11019052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u = -13 + 73. Let z(l) = l**3 - 6*l**2 + 5*l - 5. Let h be z(6). Calculate the greatest common divisor of h and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*z + 4 - 18 + 14 to the form v + l*z and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + (2 - 6) + (-674)\/95. Let a = -51\/5 - y. Sort a, 2, -2, -2\/7 in ascending order.\nAnswer: -2, -2\/7, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-36)\/16)\/(-9)*(32\/14)\/((-17)\/(-119)). Let d(m) be the first derivative of m**3\/3 - 3*m**2\/2 - m - 1. Let w be d(2). Put w, 12, h in increasing order.\nAnswer: w, h, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.16125006 + 0.1613. Round d to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - t - 0 + 7, -t - 2 = 0. Does 3 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 2*y - 80, 3*y = -0*y. Suppose h = 9*h - n. Solve -2*u + 4*w + 9 = 3*w, h*u = 5*w + 21 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + p + 2*p)*(-1 - 1 + 0)*(-p**4 + 5*p - 5*p) + 5*p + p**5 - 5*p.\nAnswer: 5*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 13 = -3*b - b, -3*k + 3*b = -21. Let w be k\/(12\/40*(-14)\/(-273)). What is the greatest common factor of 50 and w?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 7 - (-256 - -248).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence usa when three letters picked without replacement from hujtjsusatuh?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 5, -5, 0, -107, -0.5, 9 in descending order.\nAnswer: 9, 5, 0.1, 0, -0.5, -5, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 11*w**2 - 9*w + 9. Let k be ((-1)\/(-2))\/(3\/(-60)). Let x be z(k). Let i be 1\/(-3) + (-7)\/(-3). What is the third biggest value in x, -4, i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 4*s**2 - 16*s + 6. Let g be z(-13). Find the third derivative of 1735*u + 27*u**6 - 13*u**2 - g*u wrt u.\nAnswer: 3240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80898?\nAnswer: 2, 3, 97, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 50*p + 52 + 298 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 - 16. Suppose -p + l = -1. Suppose 5*c - 5 - 10 = 0, 5*c + 25 = f. What is the highest common factor of p and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3054 = -2156. What is the hundreds digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 1396 + 1445 + 2*u**2 - u**2 - 2807 - 7*u + 22*u. Calculate v(-8).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -a - 19, -10*s + 6*s + 15 = -5*a. Suppose -5*q + 3*q = 2*t - 2, -a = -t - 5*q. Let g be (3 - 3) + t - -7. Solve -3*c = -g*c - 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -2*j - 3638, -3*u - 18*j + 5447 = -19*j. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -6363 + 6363 + 39*c. Let o be s(1). What is the greatest common factor of o and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nwd when three letters picked without replacement from {d: 2, n: 1, v: 1, m: 2, b: 7, w: 2}?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2376 + -2368. Solve 4*w + w + y = 12, 0 = -5*w + y + z for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 14104, 28218, 42332, 56446, 70560?\n\"Answer: 14114*u - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 9:50 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((-2*sqrt(320))\/(-2*sqrt(256)))**2 - (-4*sqrt(5) + -5 + 4*sqrt(45))**2).\nAnswer: -80*sqrt(5) + 1375\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/4)\/((-2)\/(-12))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*l**3 - 5*l**3 - 3*l + 2 + 8*l**3 as b*l**2 + o*l + q*l**3 + u and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.015499625 to 3 dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 170741178?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13798514 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -133*m - 7. Let x(i) = 5*i - 46. Let s be x(9). Is 7 a factor of j(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 19248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1632 - 20?\nAnswer: 1612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + 47*v - 278. Let u be i(7). Solve 3*f = -h - 2 + 1, 0 = -5*f - 2*h - u for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of j**6\/180 - j**5\/60 - j**4\/12 - 47*j**3\/6 + 21*j**2. Let z(f) be the first derivative of b(f). Determine z(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2*a**3 - 47702*a**2 + 11341216*a - 670774776 = 0.\nAnswer: -24087, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 0.054.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 548, 495, 442, 389, 336?\nAnswer: 283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 5*g + 25 = 0, 4*g = -4*x + 49 - 5. Let t be (-7)\/(28\/x) + 36. Let n = t + 1. What are the prime factors of n?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*b - 5 + 114*b**2 + 76*b + 19*b + 3 wrt b.\nAnswer: 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44162*s*y**4 + 553*s - 2*y**2 + 7*y wrt y.\nAnswer: -1059888*s*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -61367 at most -61367?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/3 + 133766*y**2\/3 + 1203821*y\/3 + 1070056\/3.\nAnswer: (y + 1)*(y + 8)*(y + 133757)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 + -5. Suppose 5*j - u = 174, -4*j + 4*u = u - 137. Let o = j - 11. What is the greatest common factor of b and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17\/(-74))\/(561935\/(-12020))\nAnswer: 2\/407","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -3 + 9. Suppose 0 = -2*l + 10 + g. Suppose l = -5*f + 6*f. Calculate the greatest common divisor of f and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2 + 1152*h + 8211.\nAnswer: -3*(h - 391)*(h + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -5. Factor -5*k - 2*k + 8*k**2 + 21*k**p - 23*k**2 + k.\nAnswer: 3*k*(k - 1)*(7*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d + 4*b + 2, -2518*b = d - 2514*b + 7 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15\/(-6) - -2 - (-18)\/48. Suppose -13 = -3*y - p, 5*y + 0*p - 29 = 2*p. Put -4, y, s in ascending order.\nAnswer: -4, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 44 = 66. Let i(g) = -37*g - 118. Is i(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 3*i - 28 + 22, 3*i = -9. Solve -d*m = -m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/9047 and -55\/54282.\nAnswer: 54282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7594565*z**3 - 12*z**2 + 822831078 wrt z?\nAnswer: -22783695*z**2 - 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 179 or 227788?\nAnswer: 227788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9863473, 19726962, 29590451, 39453940?\nAnswer: 49317429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 5. Let u = -0.5 + h. Let y(w) = -3*w + 6. Let p be y(2). Which is the second biggest value? (a) p (b) u (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*w + 154 = -129*w for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 99112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/s**39*s))\/(s*s**(2\/41)*s))\/(s**(4\/9)\/s**(-9)) assuming s is positive.\nAnswer: s**(9781\/369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.9 + 5. What is the nearest to u in -3\/2, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a litre in millilitres?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/42)\/((-34)\/51). Which is the second biggest value? (a) -0.2 (b) -3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*y = 14*y + 18. What is the second derivative of 10 + 14 + d - 3 + y*d**2 - 12*d**5 wrt d?\nAnswer: -240*d**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -5*b - 1. Let j(r) = -26*r - 6. Give -22*f(q) + 4*j(q).\nAnswer: 6*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1359 - 1358.941. What is the closest to -1 in u, 0.5, 0.1, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -24841.24 and 133.92?\nAnswer: 24975.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 621753 + 22047 = 6*r. Round r to the nearest 1000.\nAnswer: 107000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*k = 36*k - 85. Suppose -14*y - 288 = -k*y. Calculate the greatest common factor of 64 and y.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.09 * -93\nAnswer: -473.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 12:24 PM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + 16*d + 19. Let o be k(17). Suppose b - 5*j = 7 + 348, o*b - 650 = -5*j. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*s - 9 = 0, -2*x = -7*x + 5*s + 15. Let k = -8\/9 - -14\/9. Let q be (-8)\/(-12)*1\/(-6). Which is the nearest to k? (a) q (b) -3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -10010001011000?\nAnswer: 10010001010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49167616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 178592*u + 357193. Determine t(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25226 + 35516. What is t rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 5*l + 2*g, 6*g - g = -4*l + 37. Let w = 6688 - 6672. Solve -4*m + 3*m = -4*n - w, -2*n = 5*m + l for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 10*u**2 - 9*u + 5. Suppose -d + 0*d = -2. Suppose -d*k = 4*b - 34 - 0, -4*k - 40 = -4*b. What are the prime factors of p(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h**2 + h**2 - h**2 + 71*h**3 - 12*h.\nAnswer: 71*h**3 - 12*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -895*y + 2530. Give b(3).\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*j = 91*j + 15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -97.95 * -23.\nAnswer: 2252.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 1)\/((-4)\/(-88)). Suppose 0 = 4*s - 5*h - 55, -h + r + 3 = s. Solve 0 = 6*b - 2*b - s for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 6:39 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -755*p**4 + 5*p**3\/3 - p**2\/2 + 3*p - 6993. Find the third derivative of g(j) wrt j.\nAnswer: -18120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three fifths of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t*t\/t**(1\/9))*t)**(-32)*(t*t**(-6\/17)*t)\/t*t**(-8) assuming t is positive.\nAnswer: t**(-6565\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13014090?\nAnswer: 2, 3, 5, 23, 6287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -304 by -1342.\nAnswer: 152\/671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4*x**2. Let r = 2 - 6. Let t(a) = -a - 2. Let p be t(r). Let l(j) = -3*j - j + 4*j + p*j**2. Give l(u(o)).\nAnswer: 32*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from booooddoadoaoooojaaa. Give prob of sequence da.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4040 - 6314 = -115*j + 449*j for j.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = i - 3*j - 10, 0 = -5*i - j + 113. Let g = 2 + i. Calculate the greatest common divisor of 3 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26567 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5841*i + 5821*i + 5834*i - 23344*i + 5839*i.\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -115 (base 12) in base 15?\nAnswer: -ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*c - 1 + 1 + (1 + 6 - 5)*(c + 5*c - 2*c))*(8*c - 4*c - 5*c - 32) to the form f*c + t*c**2 + i and give f.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + 9. What is the derivative of -1 - 1 + j*q + 18 - 40 wrt q?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/4 (b) -135 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 193*b**2 + 1477*b - 549. Give o(-185).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -1\/9, 84\/11, 2, 62, 1\/6 in increasing order.\nAnswer: -1\/9, 1\/6, 1\/3, 2, 84\/11, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 10*x = 2*y - 84, 0 = 4*x. List the prime factors of y.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*u - 55*u + 218*u - 54*u - 43*u.\nAnswer: 12*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2339*c**2 + c + 272.\nAnswer: 4678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5662 and 299402?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 760?\nAnswer: 75e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -2*u + 30, 5*a + 5*u = -0 + 45. Let g = 50 - -2. Let l be g\/a + (-4 - -6). Solve l = 7*p - 4*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - n**2 - 30*n + 16. Let t be g(-5). Solve t*r + 97 - 33 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1886 - 1730. Does 4 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3400634 centimeters in nanometers?\nAnswer: 3400634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*v - 24 = -78*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1484, -2970, -4456?\n\"Answer: -1486*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 - 8. Let k = d + -12. Suppose 3*j - 624 = -k*w, -4*w + 680 = 3*j - 155. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 6*z + 146 - z - 320 + 3*z + 158. Give s(5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 10 = -0*l. Let c(w) = w**2 - 2. Let j be (-1 - 1)*(-28)\/8. Suppose j*r - 45 = 2*r. Let z(i) = 4*i**2 - 9. What is l*z(k) + r*c(k)?\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -459*n**3 + n**2 + 2. Let x be z(-2). Let m = x - 1206. Suppose 0 = -13*v - 15 + m. Is v a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 814\/99 - (-40)\/(-5).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 40\/6 + (-10)\/15. Suppose 0*n = n - q. What is the units digit of 66\/10 - n\/(-15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 2:41 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339181 is divided by 1268.\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -174, -80, 182, 696, 1546, 2816?\n\"Answer: 14*m**3 - 4*m - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + 45\/((-11475)\/4522).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -4*q**3 + q**2. Let j(d) = -17*d**3 + 4*d**2 + d. Calculate 9*h(w) - 2*j(w).\nAnswer: -2*w**3 + w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/12 and -46\/243?\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2496449, 2496423, 2496397, 2496371, 2496345, 2496319?\nAnswer: 2496293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence svvu when four letters picked without replacement from {s: 8, v: 6, u: 2, r: 3}.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*a**3\/7 - 404*a**2 - 498432*a\/7 + 501264\/7 = 0. Calculate a.\nAnswer: -354, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9325331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q\/(q\/(q*q*q**(1\/2)\/q)*q))\/q)\/q**(-15) assuming q is positive.\nAnswer: q**(31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 27*n**2 - 3*n - 24. Let r be j(-27). Let b = 74 - 72. What is the second derivative of r*g - 15*g - 15*g + 4*g - 31*g**b wrt g?\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45676*x - 625 = -45681*x. Suppose -2*d - k = -81 + 15, 5*d - 4*k = 152. What is the remainder when x is divided by d?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3*f**2 + 24*f - 33. Let w be a(2). Let b(o) = o - 2. Let m be b(1). Let g be (5\/15)\/(m\/(-12)). Solve -i - 16 = 4*n - g*i, -w*n - 12 = 3*i for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001101 - -11?\nAnswer: 1010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p**2 + 2*p - 14*p + 26 + 11*p + 139 to j*p + u*p**2 + f and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 at most -1\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, e: 7}. Give prob of sequence gggg.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*n**2 + 5*n**2 - 6*n**2 + (2 - 5 + 5)*(3 - 1 + 0)*(6*n - n**2 - 6*n) - 8*n + 8*n + n**2.\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 13) to base 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of -53*l**9\/504 + l**6\/30 - 1121*l**5\/30 + 57*l**2 + 2*l. What is the third derivative of z(h) wrt h?\nAnswer: -6360*h**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 51967 + -51962.0318. Let n = 0.0318 + l. What is the fourth smallest value in n, -4\/9, -1, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(0 + -2 - -3). Let w(n) = 2*n**2 + n. Let x be w(2). Suppose 0 = 3*d - 5*v - 16, 0 = 2*d - 3*v + 1 - x. Put d, 6, -1, c in ascending order.\nAnswer: d, c, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40.3 + -79.268. Let a = p - 0.032. Let h = a + 38.99938. Round h to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 3*l - 231, 6*a - 2*a = 3*l + 174. What is the remainder when a is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -3, 2.6, 1156\/7, -4\/5, 2 in descending order.\nAnswer: 1156\/7, 2.6, 2, -0.3, -4\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 8*x**2 + 9*x - 6. Let g be m(7). Suppose h = -p - 3, -4*p - 2*h - 6 = -g*p. Suppose 0*f - f = p. Which is bigger: 3\/7 or f?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.71 - -0.7100334. Round p to six decimal places.\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19030409?\nAnswer: 29, 656221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 3:44 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 6*z**2 + 14*z - 285. Is x(-20) a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a milligram in micrograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1354 - -1354.17. Which is the second biggest value? (a) l (b) -2 (c) -0.1 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 3:35 PM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 k when two letters picked without replacement from ggzzpkcggzguc?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1533)\/16425*((-540)\/35)\/6?\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*q**4 + 25*q - 25*q + (q + q + 0*q)*(-3*q**2 + 3*q**2 + q**3).\nAnswer: 15*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/((-35)\/15)*2\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1309, 1677, 2045, 2413, 2781, 3149?\nAnswer: 3517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 4*x = -20, -44 = -12*h + 15*x - 13*x for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -590 + 1086. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 22 (b) -0.1 (c) -3\/8 (d) -10 (e) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38204, -76401, -114598?\nAnswer: -152795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13705*y - 13766*y + 976 = 0 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/(-4)*16\/(-10). List the prime factors of 261\/12 - (-1)\/y.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 297\/4 or 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 8 = p. Suppose d + 3*d + t - 9 = 0, -p*d - 23 = -5*t. Is (-24)\/(-12) + (111 - d) + -2 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 + 4 - (2 - (-31 - -41)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(0 + 1) - 4. Let w be ((-10)\/4)\/((-4)\/8). Suppose v - 2*s = 0, w*s + 6 = -4. Sort t, 5, v in increasing order.\nAnswer: t, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*d = -69*d + 1246596. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3140959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*r + 152*r + 14877 = -510*r for r.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**2)**(-17)\/((k\/(k**(-1)\/k*k))\/k)**6 assuming k is positive.\nAnswer: k**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 3*w + 8, h - 2*w - 4 = -2*h. Suppose g - 3 = -h. Let k(m) be the second derivative of -m**2\/2 - 2*m. Let t(y) = -3*y - 3. What is g*t(x) + 5*k(x)?\nAnswer: 3*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 6:19 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 + 22.5. Let n = -2\/8907 - -26735\/62349. Which is the closest to 1? (a) -0.3 (b) w (c) -1\/5 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -206 + 217. Let a(d) = d**2 - 16*d + 7. Let p be a(10). Let w be 18\/36 - p\/2. Solve 4*y - w = -j for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 74, 80, 98, 134, 194, 284, 410, 578?\n\"Answer: a**3 - a + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 287124658 is divided by 1198.\nAnswer: 1196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4*g + 37059 = 0, -3*z - 35*g + 37053 = -33*g. What is the thousands digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m**2 - 2*m**2 - 12*m + 2*m**2 to k*m + h*m**2 + j and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r = 4*r + 8. What is the smallest common multiple of 5 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 828199 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/430 and 123\/10370?\nAnswer: 445910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - 2. Let k be ((-4)\/q)\/(3\/(-117)). Calculate the highest common divisor of k and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 2*u**2 + 0 - 15*u - 4 + 3*u - 12*u**2. Let x be s(-9). Suppose x = 4*j - 61. List the prime factors of j.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1241810477 to the power of 1\/3, to the nearest integer?\nAnswer: 1075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.034 - -8.04. Let o = -0.006 + r. What is the second smallest value in -5, -0.07, o?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11 or -7\/9?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2405*d**2 + 2694*d**2 - 1869*d**2 to c + m*d**2 + k*d and give m.\nAnswer: -1580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(2) + sqrt(2) + (sqrt(60)\/sqrt(6))\/sqrt(5) + sqrt(90)\/sqrt(5))**2.\nAnswer: 60*sqrt(2) + 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 6*s + 5 = 0, 4*s - 32 = 3*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000442239 to seven dps.\nAnswer: 0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/3))**32)**(-24\/11) assuming x is positive.\nAnswer: x**(256\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -5, 10, -3 in ascending order.\nAnswer: -5, -3, -1, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -20*u + 21*u - 4*p, -8 = 2*u + 2*p for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*t = -65*t + 6. Let d(x) = -3*x**3 + 5*x**2 - 6*x - 11. Is d(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ninety-one halves of a day in hours?\nAnswer: 1092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 688, 2828, 6404, 11422, 17888, 25808, 35188?\nAnswer: 46034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffexfexfxexf. What is prob of picking 3 x?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 486 = -j - j. Calculate the common denominator of -29\/16 and (j\/168)\/((-1)\/4).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -5*g**8\/336 - g**6\/30 - g**5\/60 - 3*g**3\/2 + 30*g**2 - 3*g. What is the third derivative of t(q) wrt q?\nAnswer: -300*q**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 2:21 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**2 - 16*u + 18. Calculate the remainder when p(12) is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 5*m**2 - 6*m - 16. Let k = 6 + -12. What is the tens digit of h(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 87819188?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36 + -36. Suppose r*h = -3*h + 12. Is h even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 403102?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 0*s = 2, -42 = 2*y - 2*s. Let p be y\/(-5) + (-2)\/(-10). Factor -4*v**4 - 4*v**2 + 6*v**p + 2*v**5 + 0 + 2*v - 4*v**3 + 2.\nAnswer: 2*(v - 1)**2*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 41*y + 212. Let v be l(-35). Solve -4*g - v*c + 12 = 0, 3*g - 5*c - 9 = -4*c for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1215914?\nAnswer: 2, 7, 86851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*0.225\nAnswer: -0.1125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1345 is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 495353620.9 and -3.\nAnswer: 495353617.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a week in minutes?\nAnswer: 945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -7*o. Let i(v) = -v**2 + 4*v. Let g(c) = c**2 - 5*c. Let q(p) = 4*g(p) + 5*i(p). What is q(j(y))?\nAnswer: -49*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12\/10)\/(-4 + (-22)\/(-5)). What is the derivative of c*l**2 + 5*l**3 - 3*l**3 - 66 + 33 + 15*l**2 wrt l?\nAnswer: 6*l**2 + 36*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004622876628 rounded to 6 decimal places?\nAnswer: -0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.7 (b) 0.04 (c) 0.3 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -17*56009011\nAnswer: -952153187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 577834*y**5 + 936*y**2 - 8*y + 19.\nAnswer: 34670040*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 28477 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 82476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 59*i**2 - 26490*i + 25993. Give x(448).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*p**3*q + 3*p**3 + 12017*p**2*q - 7*p*q - 5*q + 357 wrt p?\nAnswer: -18*p*q + 18*p + 24034*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/13, -0.5, -0.2, 3223656, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1089\/(-8349))\/(2\/(-23)))\/(-3).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 10*c**2 + c. Determine t(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -346498708 by -514.\nAnswer: 674122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187505.\nAnswer: 5, 37501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 5*n - 50, -5*n - 2*m + 45 = -m. Suppose 0*w = 2*w - 24. Let x = -85 + 90. Solve -3*c - x*g + w = 0, 5*c + 0 = g - n for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 609 and 174.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165 = -4*f - c + 2196, -c - 1179 = -2*f. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -4*t - 30 - 13*t**2 + 3*t + 101 - 26 - 12*t**2 + t**3. Determine m(25).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, z: 2, n: 2, j: 2, s: 4}. Give prob of picking 2 z, 1 n, and 1 p.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of 3*s**5\/20 + 9*s**4\/8 + 2*s**3 - 9*s**2\/4 - 27*s\/4 + 24. Factor y(n).\nAnswer: 3*(n - 1)*(n + 1)*(n + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - (-6062)\/490)\/(((-200)\/10)\/(-100)).\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -179\/330 and -83\/149702970.\nAnswer: 1646732670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + 3\/(-3) + -5. Is (-445)\/f - 7\/(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 18, 6, -2.\nAnswer: -4, -2, 6, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33 - (7 - (-10 + 29))) + 6?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4*(-5 + 4*sqrt(9)\/sqrt(3)) + -2)**2.\nAnswer: -2816*sqrt(3) + 5008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 56898466 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2058 or 2061?\nAnswer: 2058","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pphhhhluaplaappanup. What is prob of picking 2 p?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**43*c*c)\/c**(-4\/5) assuming c is positive.\nAnswer: c**(229\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -642, -299, -2 in decreasing order.\nAnswer: -2, -299, -642","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + 385258684515.\nAnswer: 385258684514.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1\/4, 1\/5, 4.\nAnswer: -1, -1\/4, 1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, y: 1, k: 2, c: 2}. What is prob of sequence kk?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 14*j + 134. Let c be x(6). Let i = -141 + c. Let h(v) = 10*v. What is the remainder when i is divided by h(4)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - 16781*z - 184718. Give k(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 2817280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 5*p**3 - 6*p**2 - 3*p - 2. Let u(o) = 6*o**3 - 7*o**2 - 4*o - 3. Let m(s) = -5*q(s) + 4*u(s). Let r be m(-2). Solve -z = 3*z - r for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, -1\/4, 6, -12, -0.3 in increasing order.\nAnswer: -51, -12, -0.3, -1\/4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 + 17 = 4*d + c, -4*d = -5*c - 121. Suppose 208 = m + 4*g, -7*g + 784 = 4*m - 3*g. Calculate the greatest common divisor of d and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(22\/((-11968)\/(-96))))\/(3\/(-2))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 251.34 * 2.\nAnswer: 502.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of -i**5\/20 - i**4\/8 + 29*i**2. Factor w(b).\nAnswer: -3*b*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k - k + 2*k**4 + k - 7 + 6 - 3*k**3 to the form o*k**2 + v*k**4 + d*k + r*k**3 + j and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3792 = 31*o + 3741. Let c = 244 + o. Put 0, -18, c, 4 in decreasing order.\nAnswer: 4, c, 0, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 3*p + 1, 5*f + 5*p = -25. Put -2, f, -5 in descending order.\nAnswer: -2, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11602609161 + -597.\nAnswer: -11602609758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 533622926.\nAnswer: 2, 757, 352459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -85324428, -85324427, -85324426?\nAnswer: -85324425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -574, -561, -518, -433, -294, -89, 194, 567?\nAnswer: 1042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m - 7. Let p be i(-6). Suppose -p*t - 22 + 2 = 0. Let z(j) = j**2 + 4*j - 3. Calculate z(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -352*y**2. Let l(a) be the second derivative of -7*a**3\/6 - 2192*a. What is o(l(f))?\nAnswer: -17248*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 5*t**2 - 497435*t + 1492260 = 0.\nAnswer: 3, 99484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3\/130 - -391\/11310. Let c = v + 161\/1131. What is the closest to 2 in -3, c, 0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 1366 = -13686. Let p(j) = -1221*j**2 - 1232*j**2 + x*j**2. Let n(h) = 9*h. What is p(n(k))?\nAnswer: 891*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 5:27 PM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 6 = 3*r, 3*w - 3 = r - 1. Solve w = 2*n - 0*n - 4*u - 8, -8 = -2*n + 3*u for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d + 19. Let i be k(-16). Suppose -3*h + 2 = -n, -h - i*n = 2*n - 22. Suppose 0*f - 70 = -5*f. Solve -h*w + 2*a = -2, 2*w + 2*a = w - f for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + k + 2*k)*(-2*k**2 + 5*k**2 - k**2) + 32*k**2 - 32*k**2 + 2*k**3 - 31*k**2 - k**3 + 31*k**2.\nAnswer: 7*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 7*h**2 - 16*h**2 - 52*h**2 + 37*h**2. Let i(j) = 12*j**2. Calculate y(i(f)).\nAnswer: -3456*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 7*f**2 - 53*f**3 - 2*f**2 - f**2 + 15*f**3 to the form v*f + g*f**3 + l + j*f**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - 18*a - 29. Let z be p(-16). Factor 16*o - 18*o - o**2 - z + 3*o + 3*o.\nAnswer: -(o - 3)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(13) - (1 + sqrt(468)) - (sqrt(117) + -3)).\nAnswer: -8*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 18*x**3 + 1. Let m = -12 - -13. List the prime factors of i(m).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-4)*(-2)\/150*-15*12\/(-105).\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276 a factor of 34322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 701609499 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 + 12*h - 4. Give c(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 0. Let c(n) be the third derivative of -2*n**4\/3 - 3*n**2. Is 16 a factor of c(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2343661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1650588 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 10*w**2 + 5*w + 4. Suppose -u - 4*j = -5, -4*u + 8*j + 20 = 9*j. Let c(t) = -15*t**2 - 8*t - 6. Give u*c(p) + 8*x(p).\nAnswer: 5*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12189 or -12188?\nAnswer: -12189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 18*t - 240. Give p(14).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 4892*a**3 + 20*a**2 - 12*a - 23. Is t(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/b**(-1\/20))\/b*b\/b**7)\/(b*b**(8\/3))**45 assuming b is positive.\nAnswer: b**(-3399\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13 and -18052.\nAnswer: -234676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t**4 - 11*t**2 + 3*t + 2*t**3 + 12*t**2 + 5*t**2 - 13*t**2 - 2*t**4 to the form r*t**4 + v*t**3 + u + w*t**2 + j*t and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103310011222 (base 4) to base 10.\nAnswer: 5194090","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 4:15 PM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/13)\/(q*q\/(q*q**0))*(q\/q**(1\/5))\/q**(-7\/5))\/((q**7*q)\/(q\/(q*q*q**2))*q**(1\/5)\/q**(1\/6)) assuming q is positive.\nAnswer: q**(-755\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*o**2 - 36576*o - 12387072 = 0. Calculate o.\nAnswer: -2032\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 240\/(-16)*(-23)\/(-23)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 9*j**2 + 0*j - 9*j - j**2 - j**3 + 8. Let w = -2 + 8. Is 13 a factor of g(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 213*y = 419*y - 210*y + 159, 4*y = 19*i + 279 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 104*c**3 - 91*c**3 - 96*c**3 - 5*c**3 + 2*c**3 + c**3 + (-3*c + 2*c + 2*c)*(-c**2 - 4*c**2 + 3*c**2) in the form p*c + k*c**2 + z + b*c**3 and give b.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bxxfmjbjpxmjxjmxxmx. Give prob of picking 1 f, 1 j, and 2 m.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f. Let v(h) = 147563*h - 2. What is v(q(g))?\nAnswer: -295126*g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 11 = -o. What is the derivative of -4*z**3 + 5 + o*z**3 - 3 wrt z?\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -205, -254, -335, -448, -593?\n\"Answer: -16*w**2 - w - 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/69? (a) 0.5 (b) -4 (c) -0.3 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2 + sqrt(500))**2 - (-5 + sqrt(605) + 5).\nAnswer: 29*sqrt(5) + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 12) to base 8\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -5*k**2 + 33075*k - 1347670 = 0.\nAnswer: 41, 6574","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1 + sqrt(833)))**2 + sqrt(833) + (2*-3*sqrt(833))**2 + -2*(sqrt(833) + sqrt(833) + -1 + -1)**2*-6.\nAnswer: -791*sqrt(17) + 77526","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 456528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -68 by -15.\nAnswer: 68\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 7716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 1\/23, -3, 2\/5, -0.3, -2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-11)\/(-88) - 121\/(-40) and -35\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -n**6\/24 + n**5\/24 - 13*n**3\/3 + 10. Let j(m) be the third derivative of a(m). Factor j(o).\nAnswer: -5*o*(3*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 19\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/4 - 3\/6. Let m = z + 48. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108495, -432333, -971517, -1726047, -2695923, -3881145?\nAnswer: -5281713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -6*w**2 - 2. Let j(u) = -u**2 - 1. Let m(z) = -b(z) + 2*j(z). Let f(p) = 2*p**2. What is m(f(k))?\nAnswer: 16*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 2*p**5\/5 - 54*p**4\/5 + 438*p**3\/5 - 202*p**2 + 912*p\/5 - 288\/5 = 0.\nAnswer: 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84, -89, -104, -135, -188, -269, -384, -539?\nAnswer: -740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/10 + 0 - (-20)\/(-25). Does 10 divide (f\/2 + -3)\/2 + 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*r + 20*r - 58. Let o = 7 + r. Calculate the highest common divisor of o and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - 24. Let d = 32 + n. Is d - 2 - 0\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14014400 rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 149 - -214. Suppose -s - 77 = 4*x, -s + n = -5*s - 5*x. Let q = s + 770. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 7*s - 14. Let z be (-9)\/s*(0 + 56\/(-6)). Calculate the highest common divisor of 112 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1295796 divided by -5?\nAnswer: -1295796\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 719 - 690. Is 29 a factor of 17*(-3 - -5)*u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 319448a (base 11) to base 4.\nAnswer: 111122131201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2\/4 - 99*j\/4.\nAnswer: -3*j*(j + 33)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -77*i**6\/360 - 301*i**3\/3 + 119. Let s(b) be the third derivative of y(b). Let u(c) = -2*c**2. Calculate s(u(h)).\nAnswer: -308*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/1*(10\/4)\/((-660)\/48)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 214 + 653168?\nAnswer: 653383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 11\/2 of a microgram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + i**2 + 1. Let n(s) = -9*s**3 - 5*s**2 + 3*s - 9. Suppose 0 = 13*p - 1 + 14. Let v(w) = p*n(w) - 6*u(w). What are the prime factors of v(4)?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 15 + -10 + -6 + 0\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 e, and 1 l when three letters picked without replacement from jsljefjj.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21? (a) -2 (b) 2\/13 (c) -7731\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 355350.\nAnswer: 2, 3, 5, 23, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 29121\/13, 0.4, -1\/6?\nAnswer: 29121\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1755604 - 1755604 + 4897*g**2 as p*g**2 + y + c*g and give p.\nAnswer: 4897","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3704 is divided by 1088.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 2 = m. Let k(r) = r**2 - 2*r. Let q be k(m). Suppose -4*v + q*v - 88 = 0. What are the prime factors of v?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88 divided by 13521.\nAnswer: 88\/13521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddddddddddddb. What is prob of sequence db?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m - 4 + 8 - 2 - 3. Let w(s) = -3*s + 24. Let y(i) = -10*q(i) - 2*w(i). Calculate the lowest common multiple of y(6) and 22.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -60, -102, -144?\n\"Answer: -42*d - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -14184*c. Let m(u) = -u. Give m(n(j)).\nAnswer: 14184*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 11*w**2 - 7*w + 6. Let u be c(-6). Suppose 2*o + 2*o - u = 0. Calculate the greatest common factor of 74 and o.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21012310 (base 4) to base 2.\nAnswer: -1001000110110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (42\/15)\/((-4)\/(-10)). Suppose -d = -l*d + 12. Let i(k) = -17*k**d + 8*k**2 + 5*k + 8*k**2 - 7. What is i(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 91 - 78. Suppose p*r + 10 - 49 = 0. Suppose 2 - 6 = -t. Solve -r = -l - t for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19286.\nAnswer: 2, 9643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2622, -2218, -1814?\nAnswer: -1410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -2*v - 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-9 + -3)*-8. Solve 0 = -6*z + s*z + j - 2, j + 5 = -5*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47 - 53. Let h(b) = 2*b**2 + 4*b + 11. Is 15 a factor of h(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 44545 - 17439 = -2*u, 4*u - 123962 = l. What is the thousands digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**2 + 2*g - 2. Let d be u(-2). Let m(n) = n**3 - 2*n**2 + n + 2. Determine m(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2884568 and 2928.\nAnswer: 17307408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 4*j**3 + 2*j**2 + 7*j + 5. Give f(-2).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 111 + 111. Suppose -5*d - 16 + 26 = k. Calculate the smallest common multiple of d and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -5*s + 56. Let t be n(6). Calculate the greatest common divisor of 39 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -1154292?\nAnswer: -1\/288573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 3 - 8 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -34863 equal to -34864?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10725580 is divided by 74.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 4*h + 1 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -k - k. Let r be 1*(k + -1 - 4). Suppose 3*b = -3*v + 96, -b + 5*v + r = v. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*k = 17, 889*v - 890*v = -2*k + 2. Put -376, 0, v in ascending order.\nAnswer: -376, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1837 + 71*c**4 + 1839 - 45*c**4 + 3*c**3 - 11*c in the form x*c**3 + r*c**2 + a + i*c + k*c**4 and give k.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 465692405.33956811 + -471881410.339568. Let u = -6189003 - r. Let v = 2 - u. What is v rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 743081.7 years in centuries?\nAnswer: 7430.817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -126 + 1\/4*s**2 + 1\/2*s**3 - 3\/2*s - 1\/8*s**4. Suppose o(d) = 0. Calculate d.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15632)\/(-16609)*(-255)\/(-30)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 8, 5*q + 18 = -8*n + 4*n. Let z(x) = 5*x + 20*x - 24*x - 3*x - 2 - 3. Give z(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i + i + 3*i. Let s(a) be the first derivative of -10*a**3\/3 - 2. Calculate s(z(l)).\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10289780 to the nearest integer?\nAnswer: 3208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(17) + -2 + sqrt(17) + sqrt(17)) + 2.\nAnswer: -2 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**3 + 3*m**2 + 9*m - 15. Let t(y) = y**2 + y - 2. Let i be t(-2). Suppose -10 = f + 3*d, i = -f + d - 6. Is n(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -465*z - 255*z - 127072 = 952*z for z.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -532*z**3 - 6*z**2 - 12*z + 6. Let u(i) = 163323*i**3 + 1841*i**2 + 3682*i - 1841. Give -6*u(y) - 1841*v(y).\nAnswer: -526*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13 is divided by (0 - (-32)\/10)\/((-4)\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00092 to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 232*y**3 + 64 - 49 + 905*y**3.\nAnswer: 673*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 0*j + 5*j)*(-39*j**4 + 68*j**4 - 99*j**4).\nAnswer: -70*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(2 + -1 + 0). Let d(l) = 2 - f - 1 + 2*l. Let q(t) = -t. Determine d(q(g)).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 13, x: 1, u: 3}. Give prob of sequence qqx.\nAnswer: 13\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 749*t - 2006*t + 46509 = 0 for t.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-6) - (-728)\/(-42). Let u be d\/24*4\/(-6). Suppose 2*y = 4*y - 2. Which is bigger: u or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = 5*q, 3*q + 0 + 32 = 2*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7600144 a multiple of 1742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i**(2\/5)\/i)\/i*i)\/i)\/i*i**(-13)*i*(i**16\/i)**(3\/20) assuming i is positive.\nAnswer: i**(-227\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 2*i - 34 = 0. Suppose -2*y + 130 = 4*h, 5*h + 64 = 2*y - 75. Calculate the remainder when y is divided by i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1268*r**6 - r**4 + 19*r**3 - 13*r**2 + 9061*r.\nAnswer: 152160*r**3 - 24*r + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 3\/5 (b) -247 (c) -1 (d) 2\/9 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - -72. What is the remainder when l is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 4*a - 12, -2*w = -a - 5. Solve -4*p + w = -8*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 b when two letters picked without replacement from {a: 1, b: 1, y: 1, d: 1, s: 2, q: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 8*i - 1. Let v be s(-6). Let f(y) = -16*y**2 - 16*y + 16. Let j(w) = 2*w + 3*w**2 + 78 + w - 41 - 40. Give v*j(x) + 2*f(x).\nAnswer: x**2 + x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, z: 1}. What is prob of picking 1 z and 1 a?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*n + 5*n**3 + 30*n + 1986*n**2 + 31*n - 995*n**2 - 989*n**2 to the form r*n + i*n**2 + c + m*n**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*w**5 - 40*w**5 + 11*w**5 + 8*w**5 + 0*w**5 - w**5 + (5*w**2 - 4*w**2 + w**2)*(0*w**3 + w**3 + 0*w**3).\nAnswer: -2*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*m + 342 + 1206 = 444 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*s - 5 = 65*s. Let v(h) = 2*h - 2. Let r(x) = -x + 1. Calculate s*r(t) - v(t).\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 29106.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 9*a**2 - 143*a - 12. Suppose 4*i + 4*p - 52 = 0, 71 = 156*i - 151*i + 3*p. What is b(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.55 and 0.62.\nAnswer: 0.341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 36571202 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/4 of a litre in millilitres?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 76 - 74. Suppose 0 = -4*d, -3*k - 4*d = c*k - 160. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -4*s - 249, -2*x = -4*s - 29 - 141. Let g = -41 + x. Let j be (16 + -17)\/(2\/g). Sort -5, j, -3 in ascending order.\nAnswer: j, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -0*j - 3*j + 21, 5*x = -2*j + 23. Let h be (x\/(-3))\/((-9)\/18). Let c be h\/(8\/(-3)) + (-93)\/(-12). Calculate the greatest common factor of c and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (5 + -3) - (35 + (-70 - -28)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1)*d)**17)**38 assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 30\/(-4)*(-40)\/15. What is the highest common divisor of 160 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 350 is divided by 35?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*m**2\/7 + 4*m\/7.\nAnswer: 4*m*(3*m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 18 = -2. Let t = 7 + i. Suppose -t*q = -3*s - 33, -5*s = 2*q + 3 - 12. Solve 2*p - q = -p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -957257, -957246, -957235, -957224, -957213, -957202?\n\"Answer: 11*r - 957268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-9)\/6)\/((-12)\/8). Let r be (4\/v)\/((-4)\/(-6)). Solve 0 = -3*j + r*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1662654 and 3906?\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**2 + j + 39. Determine l(-7).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c - 117*c**2 - 2*c + 41*c**2 + (2 - 3 + 3)*(3 - 2*c**2 - 3) + c**2 - 2*c**2 + 3*c**2 - 1 + 1 + 2*c**2.\nAnswer: -76*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/8 + (-15)\/44 and (-15325)\/13000 + ((-12)\/(-26))\/3.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(242) + -1 + sqrt(2) + (sqrt(2) - (sqrt(288) + -2 + sqrt(2)) - sqrt(2)) + 4.\nAnswer: -sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 116 + -103.2. Let k = 9 - s. Let i = -4 - k. Which is the biggest value? (a) -4\/3 (b) i (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 + -1 - -6)\/(81 - 46784\/576).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40200777 is divided by 460.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + b + 10 = 2*h, -5*b = -4*h + 25. Suppose z = -h*z + 9. Let r = z + -5. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142 = 2*r - 25*f, 264*r - 262*r + 20 = -2*f for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -463*y - 846. Let r be q(-2). Let n be (2\/(-3))\/(1\/(-15)). What is the highest common divisor of n and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -110.36.\nAnswer: -551.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by (-2 - -1)\/(58\/(-4350))?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-14 + 24181 + 14)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*z = 9. What is the units digit of 12*z*3\/(-18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 + 53*i - 69\/2*i**2 + 11\/2*i**3 = 0 for i.\nAnswer: 3\/11, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 324 + -318. Let k(d) = d**3 - 7*d**2 + 7*d. Let b be k(5). Let o be (1140\/(-3))\/(c\/b). What is o rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6971 - 0?\nAnswer: -6971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165565 is divided by 54546.\nAnswer: 1927","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 6930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 4*g**2 - 1. Let j be a(-1). Let h(d) = -d - 4. Let i be h(-7). What is the derivative of 0*f**3 + f**i + 0 + 1 - 8*f**j wrt f?\nAnswer: -21*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1155)\/22)\/(-15)*(-40)\/(-14). Calculate the highest common factor of 370 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5033 - -0.14?\nAnswer: -0.3633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 4*p + 5. Let m(i) = -i**2 + 12*i - 8. Let b be m(11). Solve 0*r = 4*r + 16, 0 = -p*s + b*r + 27 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -a2?\nAnswer: 9f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 21 - 2*d + 18 + 4*d - 37 + 7*d. Let b(l) = -360*l - 81. Determine 2*b(u) + 81*r(u).\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12169428?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 608*b - 611*b + 11 = -5*l, 2 = b for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-36)\/16 - -1)*-2*2. Suppose -y - y = 2*l, -j*l - 40 = -5*y. Suppose i - 3*f = -2*i + 306, -y*i - 4*f + 440 = 0. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*z = -49*z - 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 5:24 AM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 65 - 5 = 0. Let t = a - 12. What is the remainder when t is divided by 10\/2*3\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**2 + 135*a.\nAnswer: 5*a*(a + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 574, 2119, 4694, 8317, 13006, 18779?\nAnswer: 25654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 + -11. Let s = 3 + c. Is 5 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + 18*l - 19. Let s be q(-19). Let n = 87487\/40 + -2187. Let r = n + -169\/280. What is the third smallest value in s, r, 6\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*(44\/8 - 3) - 1. Is 30\/7 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a centimeter in millimeters?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4437 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 9:38 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -4\/3, 0.1, -23, 18191, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**4\/8 + 152706*r**3 + 916227*r**2 + 1832448*r + 1221630 = 0. What is r?\nAnswer: -407210, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -3*j**2 + 83*j + 40. Determine w(28).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 73 - 63. What is the greatest common factor of x and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101121 - 10?\nAnswer: -101131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 3*n**2. Let k be m(3). Suppose x - 2119 - 881 = k. What is x rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/17792 and -101\/12?\nAnswer: 53376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -494929, -494942, -494969, -495016, -495089, -495194?\n\"Answer: -f**3 - f**2 - 3*f - 494924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1024 to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**4\/2 + 17*u**3\/2 - 7*u**2 - 16*u + 16 = 0. What is u?\nAnswer: -4\/3, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 t when three letters picked without replacement from dtvdt.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 575999?\nAnswer: 67, 8597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 210 and 1313220.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1144)\/(-195) + (-2)\/(-15). Solve r*l = l + 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3*o = o + 63, -5*o + 42 = 2*u. Let l be (-3)\/(1 - 4) + u. Let p = 44 - l. Calculate the lowest common multiple of 4 and p.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/7 of a week in days?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25633692 and 1230.\nAnswer: 128168460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 975.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1602 and 4.\nAnswer: -1598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 26 = v, 2*v - 3*l - 38 = -2*l. Let j be (3 + v\/(-8))\/((-42)\/16). Which is the nearest to j? (a) -5 (b) -2\/15 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 10:57 AM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -124*o + 119*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 - (-1 + 22) - (-1 + 20 - 0).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3428 = 3*a - 7*a + 2*i, 3*a = -2*i + 2578. Is 39 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - -28882481546.\nAnswer: 28882481543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1250 + 1244 = 19*f + 2418 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13 and 16325.\nAnswer: 212225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -4*x - 20, -4*x - 252*j + 250*j + 22 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -43*p + 218. Let s be f(5). Solve -5*m - 10 = -r + 16, 3*r - s*m = 18 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 15*n**2 + 15*n + 50. Give v(-15).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((14 - 2) + -4)*((-5236)\/16 + -3). What is h rounded to the nearest one hundred?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 13050, 52221, 117534, 209013, 326682, 470565, 640686, 837069?\n\"Answer: 4*v**3 + 13047*v**2 + 2*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j = 19*j - 14. Let p(h) = -2*h**3 + 16*h**2 - 13*h - 1. Let x be p(j). Solve -i + x*i - k = 23, -i + 4*k = -16 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 5*o**3 - 2*o**2 + 3*o + 2. Suppose 3 + 1 = 4*p. Let d(j) = j**3 + j + 1. Suppose 3*s + s + 10 = -2*c, -5*s - c - 14 = 0. Give p*b(w) + s*d(w).\nAnswer: 2*w**3 - 2*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2466704 divided by 23.\nAnswer: 107248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -5*n - 6. Let i(j) be the first derivative of -j**2\/2 - j + 15. What is -4*i(w) + q(w)?\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 471266893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4553227?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -28*u. Let k(t) = 9*t. Let o(x) = 5*k(x) + 2*p(x). What is o(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -u + 6*u**2 + 0*u**2 - 4*u as a*u**2 + w*u + l and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/1*-1 + 2. Let t(o) = 17*o + 8*o + 10*o - 32*o + 3. Determine t(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -4*a**3 + 5*a. Let t(s) = -s**3 + s. Suppose -158 = -5*q + 3*o, -3*q + 32 = 4*o - 57. Let w = -46 + q. Give w*t(n) + 3*p(n).\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*p**3 - 42*p**3 - 3*p + 3*p.\nAnswer: -7*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 65 - 20. Suppose 3*q = 4*v + 44, 0*q + 5*v - 85 = -5*q. What is the remainder when u is divided by q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 3*u**2 - 5*u + 6. Let x be m(4). Suppose r - 3*r - 13 = 3*b, 0 = 3*r + 5*b + 21. Let d = x - r. Solve 7*i - 6 = d*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2 + 13*b + 12. Let g be j(-8). Suppose -g + 12 = -6*v. Solve 0 = v*n - 0*n, 2*n = -5*q + 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/(-135)*3)\/((-4)\/(-10))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 303\/4, 2\/211, -550 in increasing order.\nAnswer: -550, 2\/211, 303\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u\/u**47)\/u*u))**(-15\/4)*u\/u**32*u*u*u\/u**(6\/17)*u assuming u is positive.\nAnswer: u**(-13845\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -3*w - 17, -5*t = -10*t - 5*w + 65. Solve 11 = -3*c + t for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.1 - 6. Let z = 5 - 9\/2. Suppose 4*v + 6 = 5*f, f - 4*v + 23 = 37. What is the second biggest value in 0.15, z, j, f?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-246)\/12 - -2)*(-16)\/2. Suppose 149*k - 195 = y*k. Is k a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -29*y**2 - 17*y + 84. Let s(p) = 2*p. Let g(f) = 3*s(f) - w(f). Is 61 a factor of g(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -7*m - 55. Let w(k) = k**2 - 10*k - 33. Let z be w(12). Let s be i(z). What is the greatest common divisor of s and 256?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 9*b**2 + 8*b - 21. Determine g(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 173\/168 and -83\/28.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 99795825?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = 3*t + 1, -3*t - 2*l + 6 = 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5\/2 - 3)\/((-1)\/286). What is the common denominator of 63\/44 and (1 - k\/18) + 94\/(-423)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 329015?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -17, 35.\nAnswer: -17, 2, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -835000 rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -160 + 50 - 29*n - n**2 + 23 + 49. What is the hundreds digit of f(-20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.40511 rounded to three dps?\nAnswer: -0.405","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of g**4\/12 - 3*g**2 + g. Let p be f(0). Let k = p - -14. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - ((-4 - -3) + 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 114263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -368219865434.780077 + 368220061666. Let v = -196231 + w. Let h = v - 0.22. What is h rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153254510 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: Suppose -4*c - 200 = -4*g + 992, 2*c - 5*g = -593. Let v = 445 + c. What is the remainder when v is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -459 divided by -3691\nAnswer: 459\/3691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 2*q - 15045 = 0, 167*a + 9006 = 170*a + 3*q. What is the hundreds digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229*y - 254*y = -200 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) + (sqrt(35) - sqrt(35)*1)*1)\/(sqrt(800)\/sqrt(10)).\nAnswer: sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1611*s - 1616*s + 4023*s**2 - 4022*s**2 + 3227*s.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s**2 + 85 - 8*s**2 - 7 + 2*s + 9*s**2 in the form b*s + l*s**2 + u and give u.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l - 4*i - 28, -l - 4*l = 3*i - 11 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - 23 + 23)*(-3*c**3 + 5*c**3 - 3*c**3).\nAnswer: -4*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-98 - -56) + (19 - 70).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-445)\/(-4628) + 4\/26)*(-39 + 5)*6?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of -a**4\/24 - 5*a**3\/3 - 5*a**2. Let x be f(-14). Suppose 0 = -0*i + 5*i. Solve i*c = -x*c + 20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 6 = 0, -c + 12 = -3*a + 6*a. Let x(g) = 6*g. Let z be x(2). Let w be 3\/(z\/(-8)) - -1. Sort w, -2, a in decreasing order.\nAnswer: a, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*o**2 + 402*o**3 - 284*o**2 + 410*o**3 - 811*o**3 - o.\nAnswer: o**3 - 254*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 230685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6184, 12330, 18484, 24682, 30960, 37354, 43900, 50634?\nAnswer: 57592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45797.\nAnswer: 41, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 439307 to the nearest integer?\nAnswer: 663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 11*v - 29. Let n(k) = -4*k + 10. Let g(w) = 8*n(w) + 3*y(w). Let c be g(9). Solve c*a + 11 = 4*x - 9, 3*a = -3*x + 15 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 788818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5397.\nAnswer: 3, 7, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12653 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6, n: 5, y: 3}. What is prob of sequence yn?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 273469515074465\/32382 + -8445108854. Let i = 1\/2313 - n. Find the common denominator of i and 45\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 7, a: 6, e: 2}. What is prob of picking 2 u?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 137\/4 - (-4)\/(-16). Let y = r + -40. Put 5, y, -3 in descending order.\nAnswer: 5, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/(8\/(-3)) - (-3 + 4) and (-10)\/(-4)*14\/(-11).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 c when four letters picked without replacement from {y: 13, m: 5, e: 1, c: 1}?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + p = 28*p - 552 for p.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -3*c**2 - 490569*c + 490572 = 0?\nAnswer: -163524, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - (2 - 2))*1. Is 0\/(-3) + 84 + d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 6 = 0, -2*f + 20 = -4*u - 0*f for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -2*x**4 - 15182*x**3 + 106432*x**2 + 455880*x = 0.\nAnswer: -7598, -3, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -847*v - 290*v - 35230 = 736*v + 837*v for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2126 = 32*y + 2353 - 4191 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -13. Suppose 5*k - 15 = 2*y + 3*y, 0 = -k - l*y + 18. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1568)*-1.\nAnswer: -28*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/39 in 0.82, -5, 21?\nAnswer: 0.82","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.788 - -181.212. Let r = -45357.09 - -45540. Let b = r - t. Round b to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4354 + 1?\nAnswer: -4353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/54625 and -179\/196650?\nAnswer: 983250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 4 and 61.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 - u - 1. Let p(i) = -39*i**3 - 156*i**2 - 156*i - 156. Give -468*n(z) + 3*p(z).\nAnswer: -117*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-3))\/((-2)\/114). Suppose 9*z = -3*c + 8*z - 146, 0 = -z + 1. Let u = j + c. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*y + 20 = 4*q, -4*y + 29 = 5*q. Suppose -q*n + 10*n = 10. Find the third derivative of -j**2 + 4*j**6 - j**2 - n*j**6 wrt j.\nAnswer: 240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 4 - 10 = 3*g, b = -5*g + 15. Solve b + 1 + l**4 - 6 + 3 - 4*l**2 - 2*l**3 + 2*l = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101159*t = 101059*t + 2700 for t.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -2*l**5\/5 - 5*l**4\/4 - 74*l**3 - 48. What is the third derivative of x(f) wrt f?\nAnswer: -48*f - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3*t - 4, -72 = -5*k + 5*t + 28. What is the smallest common multiple of 350 and k?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-3)*396\/(-440) - 848\/(-80)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -173\/16002 and 221\/4613910?\nAnswer: 13841730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 11:44 PM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2*t + t - 19 = 0, 3*t = -6. List the prime factors of 716*(-3)\/15*w\/(-2).\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245) + -1)*5 + -3 - (sqrt(500) + sqrt(500)*-2 + -1)*3)**2.\nAnswer: -650*sqrt(5) + 21150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 378 and 10458?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -62107 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 30, 20, -2, -42, -106, -200, -330, -502?\n\"Answer: -b**3 - 3*b + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 4:44 PM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/5084 and -99\/1312.\nAnswer: 40672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9304201327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 248 - 264. Let o be 66\/r - (-21)\/(-28). Which is smaller: o or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 8*a. Let x be (-4)\/(20\/(-445)) + -1. Let g(d) = -d**2 + 44*d + 44*d - x*d. Give g(w(r)).\nAnswer: -64*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -3, 1, -1\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2512)\/(-20) - (-8)\/20. Let m be (s\/(-105))\/((-6)\/80). Let h = m - 8. What is the remainder when h is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**3 + 71*w**2 + 645*w - 28. What is u(43)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of -42*t + 0 + 1\/5*t**5 - 1\/12*t**4 - 1\/2*t**3 + 0*t**2. Let s(u) = -13*u**3 + 4*u**2 + 10*u. Determine -7*i(h) - 2*s(h).\nAnswer: -2*h**3 - h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -988306638 divided by -2\nAnswer: 494153319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14761 is divided by 133.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 185423566 + -1163566. Round y to the nearest 1000000.\nAnswer: 184000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -709 and 15885.3.\nAnswer: -11262677.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 212213 - 212213.03. Let s = -0.8 - -0.5. Which is the fourth biggest value? (a) n (b) -2 (c) s (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.019 times 56?\nAnswer: -1.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-4)*-4*2. Let h = 319 + -237. Let y = 81 - h. Sort -2, p, y, -3 in descending order.\nAnswer: p, y, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17288873 to the nearest integer?\nAnswer: 4158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1005 minus 0.2?\nAnswer: -0.3005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 58.1999751 + -62.96206636. Let d = m - -6.76209117. Let i = d + -2. What is i rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35641.\nAnswer: 29, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.181? (a) -0.4 (b) 4\/7 (c) -4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a\/(a**(-3\/5)*a))**(4\/5))**2 assuming a is positive.\nAnswer: a**(104\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, v: 4, t: 4}. Give prob of sequence vv.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*l**5 + 33*l**2 + 2*l - 91.\nAnswer: -80*l**3 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -401.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*r + 25*r - 55. Let z(k) = -3*k**2 - 4*k + 5. Let d(m) = m**2 - m + 1. What is r*d(o) - z(o)?\nAnswer: 8*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/35 - (-18)\/126.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52699 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 3*u + 110, 4*z - 997*u - 91 = -994*u. Solve -26 = z*m + 7*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (0 + 7) - (-24 - -15)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -43, 4, 2, 5 in ascending order.\nAnswer: -43, 2, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11140608?\nAnswer: 2, 3, 7253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - -3. Suppose -5 = -3*c - 482. Let d = -124 - c. What is the highest common factor of x and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -87 - 2?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67694 = 58*m - 95344. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2436 is divided by 824.\nAnswer: 788","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*t**3 + 39143*t + 19*t**3 - 9*t**3 - 39143*t.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 21*b - 3. Let r be u(3). Suppose 3*w = 8*w + r. What is the least common multiple of (0 + 3)\/((-9)\/w) and 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 5. Suppose 4*q - 5*m - 10 = 0, v*q + 5*m = q - 10. Suppose -k - 12 = 4*g, -g = -q*g + 5. Is 8 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 4 - 1)*(-3 - 6 - 2)*(-8*n**2 + 2*n - 2*n) in the form c*n**2 + z + l*n and give c.\nAnswer: 440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 98, 206, 314?\nAnswer: 422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 323 a factor of 66778595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 4*y + 3, -3*m = m + 5*y + 14. Let r(x) = -x**3 - x**2 + x. Let w(z) = -7*z**3 - 6*z**2 + 4*z. What is m*w(l) + 6*r(l)?\nAnswer: l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3691, -156, -0.1 in increasing order.\nAnswer: -3691, -156, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46 + 151 - 23)*((f + 2 - 2)*(3*f - f + f) - 2*f + 0*f**2 + 0*f**2 + 2*f**2).\nAnswer: 410*f**2 - 164*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 100 + 41 + 643*d**4 + 18 - 710*d**4 + 54 with respect to d.\nAnswer: -268*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -860*f + 966. Let o be v(-34). What is the greatest common factor of 22 and o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5849, 5802, 5739, 5654, 5541, 5394?\nAnswer: 5207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of -j**4\/12 + j**3\/3 - 19*j**2. Determine t(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -765701 or -72?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39454853.\nAnswer: 39454853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -9*n - 7 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3015 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 156432 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + -2. Let q = -29 - -10. Let h = q - -17. Which is the closest to -1? (a) -1 (b) h (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -3. Suppose 0 = 4*w + w + 20. Let n = 20092.6 - 20093. Which is the fourth biggest value? (a) w (b) n (c) -0.3 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85307641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/7)*d**(3\/5)*d)**(-3\/17)*(d**0*d)\/(d*d**3\/d)*(d*(d\/d**3)\/d)\/d**(4\/3) assuming d is positive.\nAnswer: d**(-9934\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-5)*k*k*k**(-27)*k assuming k is positive.\nAnswer: k**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*7804235.\nAnswer: 1560847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b + 2*b**2 - 2*b - b - 1 + 2*b. Is i(4) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 394811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 4 + 6)*(-11*j + 17 - 17) - j - 2*j - 6*j to the form n*j + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 104 + 24351?\nAnswer: 24455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 376628529?\nAnswer: 3, 43, 947, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -8595*a - 2433. Let s(d) = -2867*d - 805. Let p(q) = -2*l(q) + 7*s(q). What is the first derivative of p(v) wrt v?\nAnswer: -2879","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6 + 1*(5 - 8). Solve -z*h = -4 - 5 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-24)\/g*g*g*g)**(-4\/5)*(g\/g**(-33))\/(g*g*g\/g**(-1)*g*g) assuming g is positive.\nAnswer: g**(228\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 6*w - 6. Let i be o(6). Let h be 0 - (-2 + -3 + 0). Let t be (h*(2 - 0))\/1. What is the highest common factor of i and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1042540 rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2 - 4*m - 1 + 6 - m**2 - m. Calculate the smallest common multiple of 2 + (-2 - -2) + 7 and i(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**1)\/n*n\/n**(-2\/15))**(-2) assuming n is positive.\nAnswer: n**(-64\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46295?\nAnswer: 5, 47, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -23*y - 7. Let o be i(-2). Let w = -15 + o. Let b = w + 14. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.267 (b) -0.3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14 and -4.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 520 and 1300?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of g**5\/70 - 39*g**4\/14 + 1265*g**3\/7 - 3025*g**2 + 323*g - 5. Factor d(s).\nAnswer: 2*(s - 55)**2*(s - 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, l: 4, y: 1, i: 2, v: 4, f: 2}. Give prob of sequence yvti.\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 63586447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 10) + (2 - (2 + -2))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 12:48 PM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41 - 25. Suppose 0 = -4*c - 0 + p. What is the first derivative of -m**4 + 0 + 2*m**c + 1 wrt m?\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 72*n**2 + 93*n + 3297. Determine r(70).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -335\/872 + 1\/109. Let r be 1\/(-15) + (-6)\/(-9). What is the closest to 0.1 in -1\/3, u, r?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 12\/25 of a microsecond?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26610949?\nAnswer: 167, 159347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -118 divided by -23\nAnswer: 118\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37 + 33. Is (-21025)\/(-45) + (24\/27)\/j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16640608?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - (-4 - -1) - (-36)\/9. Is n smaller than 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o - 4*o**2 + 9*o + 3*o**2 + 3*o**2 to h*o**2 + f*o + m and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*c - 22 = -2*h, -198*c + 113 = -195*c + 4*h for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 10 = 8*a - c, -a = -3*c - 16. Suppose z - 2 + a = 0, -2*d = -z - 1. Let i(g) = 3*g - g - 2 - d + 5. What is i(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, m: 4, j: 1, t: 7, i: 1, q: 5}. Give prob of picking 1 j, 1 m, and 2 y.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((2*sqrt(65))\/sqrt(5) + (sqrt(13) + (-1*sqrt(117) - sqrt(117))\/sqrt(9) - sqrt(13))) + (sqrt(208)*-3 + (sqrt(832) + sqrt(832)*2 - sqrt(832)))**2.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13\/23 + -154\/69. Let k = 4\/21 - 37\/84. Put k, 0.4, -3, z in ascending order.\nAnswer: -3, z, k, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xr when two letters picked without replacement from {x: 1, n: 1, r: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*((-6)\/(-84) - 0)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 904 (base 10) to base 14\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 PM and 10:57 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 9 = -4*l + y, 15 = -5*l - y. Calculate the smallest common multiple of 6 and l\/((-9)\/(-95) + (-2)\/10).\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/7*y + 9\/7 - 3\/7*y**2.\nAnswer: -3*(y - 3)*(y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-22)\/5 + 10\/25. Let q(o) = -o**3 - 4*o**2 - 3*o - 5. What is the units digit of q(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(3) + 1 + sqrt(21)\/(sqrt(14)\/sqrt(2)).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nq when two letters picked without replacement from kqn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9281441 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000063648825 rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lndzn. Give prob of picking 1 l and 1 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 149*w + 125. Calculate q(-1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4598 and 105455548.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/960*2)\/1. Let p(k) be the third derivative of 0*k + 0 + 1\/30*k**5 + k**2 + j*k**6 - 5\/24*k**4 - 1\/2*k**3. Determine p(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8243?\nAnswer: 8243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -26027.675 to the nearest ten.\nAnswer: -26030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v*v*v**(-12)*v))\/((v**(-1\/14)\/v)\/v))\/(v*v**(-1\/23)*v*v\/v**(1\/17)) assuming v is positive.\nAnswer: v**(55691\/5474)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/908 and 127\/1848?\nAnswer: 419496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 593586 (base 14) in base 6?\nAnswer: 145125254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 651*c**3*l*u - 91902*c**3*u + c**2*l*u - 2*l*u + 2*l wrt l.\nAnswer: 651*c**3*u + c**2*u - 2*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 25 = 4*a + 3, -3*a + 4 = -4*f. Sort -5, f, 6.\nAnswer: -5, f, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 0.5, -0.5, -44?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -5*v**3 + 57*v**2 - 31*v + 87. Let r(h) = h**3 - 14*h**2 + 8*h - 22. Let m(p) = 2*k(p) + 9*r(p). Let o be m(-13). Which is greater: o or 61\/4?\nAnswer: 61\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 5*b - 17, 5*p + b - 4*b = 17. Suppose p*x = -x. Suppose 0 = 5*n - 2*t - 189, x = 4*n - 3*t - 110 - 44. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.702 rounded to 1 decimal place?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 110\/715 - -72253*(-2)\/(-13). Suppose -26*t = -h - 1546. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 28*b**2 - 32\/3*b**3 + 4\/3*b**4 - 24*b.\nAnswer: 4*b*(b - 3)**2*(b - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(153) + 2 - sqrt(102)\/(sqrt(48)\/(1*sqrt(8)))) + -1 + 3.\nAnswer: 4 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6488*o + 30 - 3234*o - 3227*o to the form x + i*o and give x.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a**3 + a**2 + 2*a. Let q(o) = -9*o**3 - 4*o**2 - 9*o + 2. Let i(c) = q(c) + 4*z(c). Calculate i(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (88\/(-20))\/((-2)\/(-50)). Let o be (-60)\/(-220) - (-6120)\/(-55). Is o at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 199.54 - 199.94. Which is the biggest value? (a) 5 (b) 26 (c) -3 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 9. Let w(r) = -r**2 + 10*r**d - 1 - 2*r - 3 - r**3 + 3*r. What is the units digit of w(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 minus 196.085891?\nAnswer: -243.085891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*c + 109*c + 4*d = -14, 3*c + 14*d - 86 = 0 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 318225164?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0*w - 1 = 0. Let x be (3 + 6*w)\/3 - -1. Factor 0 + x*j - 1\/4*j**2.\nAnswer: -j**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -0*v + 3*v. Let b = -1 - v. Suppose 3*o = 3*n - 57, -29 = -b*n + o + 7. Solve g + 5*l + 6 = -16, -n = -4*g + l for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**2 + 12208*k - 18629408 = 0. Calculate k.\nAnswer: 3052","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/41 - -35\/123. Which is smaller: r or 2\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 217509314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 174 * -14\nAnswer: -2436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.09 - -0.89. Let y = 3.8 - v. Which is the second smallest value? (a) -0.07 (b) 0.1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 7*x - 166. What is p(23)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, o: 2, e: 2}. Give prob of picking 1 o and 2 e.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -6) + 0 + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1994272 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence np when two letters picked without replacement from nnnnnnpnnnnnnnn?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1206 is divided by 180.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 28*m - 66. What are the prime factors of w(20)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 324567*z - 31. Let n(y) = -y. Give d(n(m)).\nAnswer: -324567*m - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13537 + -13523. Sort 3, -4, x in descending order.\nAnswer: x, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 11*q**2 + 5*q - 14. Let w be n(-8). Suppose -17*x = -15 - w. Put 5, 0.2, -4, x in descending order.\nAnswer: x, 5, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29 - 951*o + 5 + 19 + 5 to the form q + i*o and give i.\nAnswer: -951","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 6*j**2 - 12*j - 4. Determine r(-8).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 6*x**2 - 12*x - 2. Determine u(-6).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*r + 52*r - 3 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-2))\/((-3)\/(-150)). Let c be (-1)\/4 - 50\/(-8). Suppose 0 = -c*s + s + 35. Solve -k = -2*x + s*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*o - o + 21 - 77. Suppose 3*l + 40 = 4*r + l, 0 = 4*r - 3*l - 42. Let a = r - o. Is a a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -12, 107, 12 in decreasing order.\nAnswer: 107, 12, 1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*m**2 - 63094322 + 5*m**2 + 63094322.\nAnswer: 17*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8398580\/7 at least 1199798?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -h**4\/14 - 22*h**3\/21 - 18*h**2\/7 - 442. Factor o(y).\nAnswer: -2*y*(y + 2)*(y + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 4:15 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 449 is divided by 40.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -10, -20, -44, -88?\nAnswer: -158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*p = -270*p + 940. Determine o so that 9\/2*o + 63*o**p + 0 + 78*o**3 + 27\/2*o**5 + 33*o**2 = 0.\nAnswer: -3, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1340165568 to the power of 1\/3, to the nearest integer?\nAnswer: 1103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -2*c - 264, i + 255 = 3*i - 5*c. Let n(v) = -2*v**3 - 39*v**2 + 7*v - 44. Let k be n(-20). Calculate the greatest common divisor of i and k.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -78*r + 48. Is 60 a factor of k(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287209619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(1\/12)*l**(-11))\/(l**(-8\/3)\/(l*l\/(l*l\/l**(-6\/7)))) assuming l is positive.\nAnswer: l**(-695\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 y when two letters picked without replacement from {i: 2, a: 1, y: 1, x: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*l**3*w**3 - 3*l**3*w**2 + 2*l**3*w - 30*l**2*w**2 - 331*l*w**4 + 2*l*w**2 + 28*w**3 - 3*w**2 wrt w?\nAnswer: -18*l**3 - 7944*l*w + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1139683738?\nAnswer: 2, 73, 827, 9439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**5\/11 - 282*w**4\/11 + 6124*w**3\/11 + 6960*w**2\/11 - 12800*w\/11 = 0. What is w?\nAnswer: -160, -2, 0, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -3*h + 31. Suppose 4*w = h*x - 126 + 38, 0 = -3*x - 5*w + 26. Does 17 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4 = m. Let x be 1\/m + 23\/4. Let j(o) = o - 4. What is the units digit of j(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6, a: 3, z: 3, i: 1, m: 4, v: 1}. What is prob of picking 2 a?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 84.1 in 2\/13, -84, -0.78, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -211401061851 minus -4?\nAnswer: -211401061847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -4102420014?\nAnswer: 4102420012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2*o - 184 + 45 = 0, 4*o = w - 19. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n = -0*n - 40 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 4*b - 46, 11 = 2*b + 7*r - 2*r. Let a = -7 - 2. Let n = b - a. What are the prime factors of n?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*o - 762 = 77*o + 29*o. What is the nearest to 1 in o, -0.4, 28?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1696416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -31c0 (base 13) in base 6?\nAnswer: -52004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3607479 is divided by 85?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*(-3)\/(-12)*(-13860)\/17325.\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of 7\/5*c**5 + 3 - 2*c**2 + 0*c**3 + 0*c + 0*c**4. Find the second derivative of w(g) wrt g.\nAnswer: 84*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -940*t**4 + 31*t**3 + 633*t**2 + 129*t.\nAnswer: -22560*t + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/98175 and 161\/19050?\nAnswer: 24936450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + j + 1. Let h be c(0). Let x be (-5)\/(-5)*-19*h. What is the least common multiple of 3 and (-1)\/(x\/(-5) + -4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2 + 4 = -2*x, 5*x + 4*g + 3 = 0. Let r(w) = w**3 + w**2 + w + 1. Let h(q) = 5*q**3 + 4*q**2 + 2*q + 5. What is x*h(c) - 4*r(c)?\nAnswer: c**3 - 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 14.46933\nAnswer: 72.34665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 + -0.2. Let k = 18.5 + -17. Let p = -1.5 - k. Which is the third biggest value? (a) l (b) p (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36 - -22. Let f = m - -18. Let k = 4.4 - f. Sort k, 1\/3, 1\/4 in increasing order.\nAnswer: 1\/4, 1\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 l when three letters picked without replacement from allaaaaaaabanaln.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79158*n + 169 = 13*o - 79155*n, -65 = -5*o + n for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -13, -3, -85, -1, -8.\nAnswer: -85, -13, -11, -8, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 8*t - 10. Let j be g(-7). Let u be 2 + -535*j\/3. Suppose -3*q = -456 - u. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 3*o - o + 104, 0 = 5*o - 10. Let c be (-18)\/b - (-50)\/(-6). Let v be (-117600)\/c*(-373 - 2). Round v to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 4*q**2 + 8*q - 3. Let c be n(5). What is the greatest common factor of 96 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -214, 2, -1?\nAnswer: -214","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 + 4 = -4*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 479.9332 centuries?\nAnswer: 47.99332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -5*g + k + 1, -4*k + 9 = -g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - -1. Suppose o*p - 4 = 11. What is the second derivative of 6*j + 2*j**5 - 5*j + 0*j**p wrt j?\nAnswer: 40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 231987\/6*((-9)\/((-63)\/4) + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 10 = 2. Let u be (-5 + 37)\/(v\/28750). What is u rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/((-96)\/16))\/(26\/(-6))*23\/23?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of -145*v**7\/3 - 991*v**4\/4 - 190*v. What is the third derivative of w(z) wrt z?\nAnswer: -121800*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from amiliareaaiiailei. Give prob of picking 1 l, 1 e, 1 r, and 1 a.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 7*b**2 - 4*b. Let k be g(3). Let i = -8 + k. Calculate the remainder when 63 is divided by i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -21, -83 in decreasing order.\nAnswer: 5, -21, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 2:00 AM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*d - 544*d + 51047 = 1057*d - 100853 for d.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**2 + 5*a + 2. Let g be p(-3). Let h(q) be the second derivative of 1\/2*q**3 - 1\/20*q**5 - 3*q + 0 - 2*q**2 + 5\/12*q**4. What is h(g)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -1\/3*u**3 - 1 - 13*u + 8*u**2. Let r be o(15). Solve -2*y = i + 6, -y + 6 = -r*y + i for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 3*t - t - 20 = 0, 4*t - 16 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 3. Let f be (-3)\/12*4 + 107 + -104. Factor -8\/7*t**f + k*t + 4\/7.\nAnswer: -2*(t - 2)*(4*t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25605731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 4*w + t + 4, -5*w + 4*t = 35 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*t**2 + 224*t - 224*t in the form u*t + w + a*t**2 and give a.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -220*d + 37. Is g(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23a0cb (base 15) to base 11.\nAnswer: -a64736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.005 - -0.195. Which is the nearest to -2? (a) q (b) 1 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -72 - -76a1?\nAnswer: 762a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2*s - 1)*(-s + 2*s - 3*s) + 123*s**2 + 120*s**2 - 249*s**2 in the form x*s + v*s**2 + u and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79885*p**2 + 167093*p - 167093*p - 79890*p**2.\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_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: Simplify (-1*sqrt(28)*1)\/(sqrt(288)\/sqrt(8)).\nAnswer: -sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 974 - 973. Which is smaller: 4\/31 or t?\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 116 = 3*c, -10*c + 12*c - 2*m = 104. Suppose 0 = 2*y + n - c, -y + 5*n = 8*n - 26. What is the remainder when 30 is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(2\/9))**(-1\/5)\/((k**(-1\/4)\/k)\/((k**(-4)*k)\/k)))**(-13) assuming k is positive.\nAnswer: k**(7007\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 102, 156?\nAnswer: 210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3212*m**3*v**2 + 4*m**3*v + 2040*m**3 + 2*m - 105*v**2 + 2*v + 3 wrt v.\nAnswer: -6424*m**3 - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = q - 5*b - 0, 3*q = b - 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 84626 = 2*s, s + 2*r - 126944 = -2*s. Let b be -2 - (-1 - s - -4). Let c = -12687 - b. Round c to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -p**2\/3 - 760966*p\/3 + 507312 = 0.\nAnswer: -760968, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*y**4\/2 + 165*y**3\/4 + 12*y**2 - 71*y\/4 = 0. Calculate y.\nAnswer: -71\/23, -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**2)**50\/(t\/((t\/t**0)\/t))**(-33\/7))**20 assuming t is positive.\nAnswer: t**(14660\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*n**2 - 264*n - 1089 = 0.\nAnswer: -33\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*l - 1085212 + 1085212.\nAnswer: 43*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1802 and 7405319.\nAnswer: 901","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 166*n**4 + 138891*n**2 + 3169384*n - 11?\nAnswer: 1992*n**2 + 277782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -6*-4*(-3*(0 + 4*(sqrt(175) - (sqrt(175) + -3))) + -4).\nAnswer: -956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -405*u - 211. Let w(a) = -4*a. Let f(x) = b(x) + w(x). What is the derivative of f(i) wrt i?\nAnswer: -409","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-7) + 1)*(-525)\/(-150)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26481080 = 52*u + 5868120. What is u rounded to the nearest 10000?\nAnswer: -620000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1219327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -242 (base 12) to base 16\nAnswer: -152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -14*l - 62. Is l < -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 4*g - 3, g - 3*g = x - 5. Let j be 1\/2 + 1703\/g. Suppose 0*d - j = -4*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 3 - 12*y + 13*y + 0)*(244 + 204 + 17).\nAnswer: 465*y - 4185","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5682335014?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 418 + 2?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/4))**(2\/43)\/((b**(-2\/9)*b)\/((b\/(b**(-1\/11)*b*b))\/b)) assuming b is positive.\nAnswer: b**(-22777\/8514)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 735945.3 millilitres?\nAnswer: 735.9453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2775.\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -124.3 in 1, 2.7, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 - 7. Let j(y) = 5*y**2 + 34. Let l(r) = -11*h(r) - 2*j(r). Calculate the smallest common multiple of 12 and l(0).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 207194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14675.0343 - -618.\nAnswer: -14057.0343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -1214\/13411 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6274 is divided by 28.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 15 = -6*w. Let z be (9 + w)*(-2 + (-276)\/16). Which is smaller: z or 0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(1 - 5 + 6)*(3*z**4 - 2*z**4 - 3*z**3 - 2*z**4 - 2*z**5).\nAnswer: 4*z**5 + 2*z**4 + 6*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1283544, -1283545, -1283546, -1283547, -1283548?\n\"Answer: -o - 1283543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33042274?\nAnswer: 2, 97, 181, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 65*q + 302*q**4 + 11*q**2 + 436*q**3 - 436*q**3 - 263*q**4 - 12*q**2 to g*q**3 + l + c*q**2 + t*q + h*q**4 and give t.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 30729564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 3*r**4\/4 - 165*r**3\/2 + 3663*r**2\/4 - 3348*r + 3969 = 0.\nAnswer: 3, 6, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 258*n*v**2*x**3 + 12*n*v*x**3 + 2*n*x**2 - 6*v*x + x**3 wrt v?\nAnswer: 516*n*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-4))\/(2655\/(-1180)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12 - -19475?\nAnswer: 19463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -5*f + 3. Let d(a) = 9*a - 5. Let r(j) = 4*d(j) + 7*g(j). Let k(l) = 2*l. Let p(o) = -2*k(o) + 2*r(o). What is the units digit of p(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1999472 and 37240166?\nAnswer: 297921328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4327079321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-2)*2 + -4. Let v(z) = 3*z**2 - 1. Let w be v(i). What is the tens digit of w\/8 - (-18)\/24?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 6 + 5 + 2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11432.07 - -11495. Let b = -0.07 - j. Let l = b + 63.49. What is l rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/2)\/r*r**(-2))\/(r**(-1\/2))**7 assuming r is positive.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + j - 17. Let u be b(0). Let s = -2.377 + 2.177. What is the second smallest value in s, u, -0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 11*o**2 - 121*o + 533. What is w(6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 8. Let a = p + -1. Is (a + (-1)\/(-5))*5 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - -8) + (2 - 0) + 36 + (17 - 27)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 514426 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: Suppose 16*q - 18*q = 5*b - 6, -q + 3 = -3*b. Solve b + 5\/2*z - 5\/2*z**2 = 0 for z.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 + -25 + -35 - -41?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a microgram in nanograms?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*g - 68 + 17. Solve -15 = 3*d - g*y, 0 = d + 3*y - 11 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + 345*i + 25608. Give u(-108).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 40 - 15\/2*g**2 - 5\/4*g**3 + 0*g = 0.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - b = 4*b - 24, 0 = 2*h + 4*b - 18. Let z be (7\/((-49)\/2))\/h. What is the fourth biggest value in -1, 0.5, z, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = a - 49, 3*r = 8*a - 3*a - 177. List the prime factors of a.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*m**4 + 24*m**3 + 55268*m**2 + 165288*m - 220576 = 0. Calculate m.\nAnswer: -113, -4, 1, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 131730679?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20 - 24 - 2*(-16)\/(-2). Let j be 9\/(54\/24) - u. Suppose 26*i = 24*i + j. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 5*k**2 - 118*k - 167. Determine h(25).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70370 and 952946.\nAnswer: 147706630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 73285688 to the nearest integer?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -32.15, -2, -3.9?\nAnswer: -3.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 236519942 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110110110101000 - -101?\nAnswer: 1110110110101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10667 - 1364?\nAnswer: a303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 - 22.5. Let s = 2 + h. What is the closest to -0.1 in s, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 1482.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56 + 45. Let d be (-79)\/z + 2\/(-11). Let q(n) = -4 + n**2 + 243*n + d - 238*n. Determine q(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 884, 6740, 22644, 53624, 104708?\nAnswer: 180924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/3 - -2)\/(-7)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (-8 + -8 + -9).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n**3 - 788*n + 1176*n + 1115*n + 411*n.\nAnswer: -7*n**3 + 1914*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -56388 plus -221.96?\nAnswer: -56609.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -47.1 - -29. Let w = -18 - f. Which is the nearest to w? (a) -0.4 (b) -1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 387?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 312 a factor of 110581536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 381 is divided by 219?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -2*w**5\/5 + 49*w**4\/12 + 49*w + 113. Let j(b) be the first derivative of o(b). Find the third derivative of j(z) wrt z.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p - 9. Let f be a(-9). Solve -2*k + 5*i + 15 = f, 4*k + 6 = -3*i - 3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 53.1398 centuries?\nAnswer: 531.398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lfv when three letters picked without replacement from ooofolyvyf?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8, -15, -98, -271, -564, -1007, -1630?\n\"Answer: -5*s**3 + 12*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 19, 4, -2 in increasing order.\nAnswer: -2, 0, 3, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 2*m + 25 = -3*a, a + 5*m = -22. Suppose -5*w + 12 = 3*k, -9 = -3*w - 0*w. Sort k, -4, a in descending order.\nAnswer: a, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w - 1166411 = 27*w - 1169711 for w.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a - 4*a + 2*a**4 + 0*a + (-2*a + 2*a - 4*a)*(-a**3 + a**3 + 2*a**3).\nAnswer: -6*a**4 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*l**2 - 15*l**2 + 22*l**2 + (63*l - 394 + 394)*(3 + 10 - 6*l - 11).\nAnswer: -365*l**2 + 126*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -357546 and -1633.\nAnswer: -359179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*h**3 + 0 - 5193*h**2 - 110*h + 5193*h**2 + 1 to w + z*h + n*h**3 + a*h**2 and give n.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/15 - -1)\/((-177)\/1593).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/6 + 4\/((-36)\/267). Calculate the common denominator of 10\/43 and j\/(-10)*1\/(66\/(-82)).\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uzuzuuuuuu. Give prob of sequence uzu.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-44660)\/174)\/77*3\/(-45). Let -40\/9 - y*u**2 - 8\/3*u = 0. What is u?\nAnswer: -10, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and 4.5694305048.\nAnswer: 5.0694305048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 901595 and 1014.\nAnswer: 902609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 733166.1 years?\nAnswer: 7331.661","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12543*-1\nAnswer: -12543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.099446 to three dps.\nAnswer: 0.099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 8*x**5\/3 - 523*x**4\/3 + 57*x**3 + 1585*x**2\/3 - 1631*x\/3 + 130 = 0.\nAnswer: -2, 3\/8, 1, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18142 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 3:55 PM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 7*z + 121. Let j(v) = -28*v - 485. Let o(m) = -22*i(m) - 6*j(m). Let f be o(-17). Which is greater: 21\/2 or f?\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*l - 2*l - 5*l)*(42 - 42 - 27*l) as v + z*l + p*l**2 and give p.\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 358 - 4?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w + 39. Let b(x) = -6*x**2 - 5*x + 35. What is b(h(g))?\nAnswer: -24*g**2 + 946*g - 9286","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -9*x - 6. Let a(j) = 26*j + 17. Suppose 2*n + 3 - 1 = 0, 0 = m - 2*n + 15. What is m*u(f) - 6*a(f)?\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -260?\nAnswer: -258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16430572969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by 3313.\nAnswer: -11\/3313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1952?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/50 and -11\/655?\nAnswer: 6550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3 - 8568*h**2 + 60148*h - 51576.\nAnswer: -4*(h - 6)*(h - 1)*(h + 2149)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 185402?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28522*v**2 + 28523*v**2 + 1 - 85553*v**2 + 3 + 28519*v**2.\nAnswer: 11*v**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.109 times 39?\nAnswer: 43.251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31957 is divided by 9160?\nAnswer: 4477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -46? (a) 0.2 (b) -2 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 39*f**4 - 3*f**3 - 348*f**2 + 180*f + 432 = 0.\nAnswer: -3, -12\/13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5b + -2650a?\nAnswer: -2648d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -7*z + 8. Let t(a) = 10 - 3 + 4*a - 11. Let n(u) = 3*b(u) + 5*t(u). What is n(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.74 + -8.64. What is the closest to -1 in v, -3, -1\/9, 0.4?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*1960\/105*3\/12.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from dsbibnsrrrdbbrbsd?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/12 (b) 2 (c) -8 (d) -2\/7 (e) 0.4 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 67 + -66.9. Let r = 0.12 + -2.12. Which is the nearest to 0.2? (a) r (b) z (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/41 and 55\/108?\nAnswer: 4428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v + 3*v + 94*v**2 - 1459*v**2.\nAnswer: -1365*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8.2, 0.2, 0.1?\nAnswer: 8.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 22839 = 5*r, 0*l - l + 2 = 0. What are the prime factors of r?\nAnswer: 3, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 10*v + 278. Let l be h(-29). Let p(o) = o + 17. Let x be p(l). Solve -u + x*y = 21, 5 = 3*y - 7 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 + 18.5. Let q = -0.2 - -0.2. Let i = q - 0.2. Put t, -5, i in ascending order.\nAnswer: -5, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -4*q - 4. Let a(d) = -d. Let p(s) = 6*a(s) - x(s). Let l be p(0). Calculate the greatest common factor of l and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/52836 and -103\/14177660.\nAnswer: 42532980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-2)*4\/(-8)*5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**8\/p*p*p**0*p)\/((p**(1\/6)\/p)\/(p\/(p\/p**(-2\/7)))) assuming p is positive.\nAnswer: p**(443\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(80) + sqrt(20))*-6)\/(-2*sqrt(1210)) - (sqrt(4) - sqrt(48)\/sqrt(48))\/(sqrt(2) - sqrt(32))).\nAnswer: -1 + 65*sqrt(2)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -10.3. Sort -1, 1\/2, 0.3, g in decreasing order.\nAnswer: 1\/2, 0.3, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 6*x - 1. Let f(z) = -z + 1. Let t be f(0). What is i(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c - 6*c - 1 - 9*c**2 + 0 + c in the form r + b*c + a*c**2 and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 10*x + 26. Let c be d(12). What is the units digit of 203 - ((6 - 3) + c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4968 divided by 276.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (7\/(-14))\/((-3)\/18). Suppose -2*i - 5*c - 152 = -668, -t*c = -5*i + 1259. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) -9 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-6 - -7) + -11 + (-17 - -1)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 15*i - 11*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/3)\/((-59)\/(30503\/(-188)))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c - 344 + 342, 4*t + 4*c = -0*c + 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*p - 22*g = 38*p + 289, -9*p + 7*g + 87 + 8 = -13*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(2\/13)*y*y*y**(1\/3))**(-47) assuming y is positive.\nAnswer: y**(-6392\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25982 and 14861.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-36)\/(-77) + 20\/(-70). Let u be 1 - 14 - -16 - 4. Which is the third biggest value? (a) v (b) u (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and 0.11145.\nAnswer: 3.11145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -7*c - 5*o - 40, 3*o = -12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -464*o + 1096 - 6200 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i + 6*i - 16 - 6*i - 4*i. Let v(a) = a**2. What is v(f(h))?\nAnswer: 36*h**2 + 192*h + 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 92, -5, 4 in descending order.\nAnswer: 92, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 3, 0.008, -804.62?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/3 (b) -1 (c) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63.04643 millilitres to litres.\nAnswer: 0.06304643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*q + 67 = l + 73, -4*l - 24 = 6*q for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5340151 (base 7) to base 8.\nAnswer: 2362243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4573 + -5 + ((-24)\/4)\/(-2). Suppose -183*k + f = -176*k. What are the prime factors of k?\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11732\/(-4190)*25\/(-84).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000590695226 to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 32007.59cm in kilometers?\nAnswer: 0.3200759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 840*o - 13. Is r(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of 3*s**2\/2 + 1. Let c = -719 - -774. Let m(x) = c*x - 111*x + 61*x. Give m(k(d)).\nAnswer: 15*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 28 + 348. Suppose 2*w = 2*x - b, -5*x + 2*w + 243 = 5*w. Let t be (-14)\/x - 2\/(-3). Put -2, -0.2, t in ascending order.\nAnswer: -2, -0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -1.31.\nAnswer: -0.262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 1124300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 219213341 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 708473, 2833921, 6376339, 11335727, 17712085, 25505413, 34715711?\n\"Answer: 708485*n**2 - 7*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*k + (-5*k + k + 2*k)*(0 - 1 + 2) + 0 - k + 0)*(2 + 2 - 1).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 3 + 1)*(4 + 0 - 2) + 7 - 3 - 3)*(5*b - b - 3*b + (-b + 0 + 0)*(-5 + 1 + 3) + 3*b - 4*b - b + 2*b + b - b).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 82, 240, 538, 1000, 1650, 2512, 3610?\n\"Answer: 4*q**3 + 46*q**2 - 8*q + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 7:12 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1121 (base 12) to base 14\nAnswer: -997","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 6*x**2 - x. Let q(a) = -a. Let j(s) = -n(s) + 5*q(s). What is the second derivative of j(f) wrt f?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 5 - 13. Suppose -4*p = u + 7. Let h(x) = x**3 + 4*x**2 - 3*x + 7. Let v be h(-5). Sort 5, p, v in descending order.\nAnswer: 5, v, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -28\/1485 and -41\/33.\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 28 + -22 + 21 + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15\/(-6)*-18 + (0 - -3). Calculate the greatest common divisor of 768 and f.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161094 is divided by 7004?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12558 is divided by 233?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of 2612027180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16047 + 16050. Solve o*w - 6 = -3*s, -3*s + 14 - 2 = w for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 13*c**2 - 13*c - 7. Let f be t(-12). Suppose w + 56 = f*w. What is the remainder when 26 is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19.9 - -19. Let n = r - -0.6. Let v = -0.2 + 0.1. What is the nearest to 2 in n, v, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and 9.661128.\nAnswer: 86.950152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ed7 - 3d?\nAnswer: -f14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 - (14 + (-3 - -3) + (-32 - -3 - -23)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/2)*q)**(-27))**(-8\/7)*((q**(-2))**(2\/29))**8 assuming q is positive.\nAnswer: q**(9172\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1098 - -1620. Let u = w + -267. List the prime factors of u.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120599 times -1400\nAnswer: -168838600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2045250 divided by 135\nAnswer: -15150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 62078 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 430150611 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-3 + 1)*(-9 - -10). Let s be (-259)\/(-49) + m\/(-21)*-2. Solve 2*x = -5*z - 29, -3*z - 4 = s*x + 21 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.72 - -28.72. Put -0.4, 1\/3, z in descending order.\nAnswer: z, 1\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 1 = -20. Suppose p*c - 9 = -0. Calculate the smallest common multiple of c and 7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16252 is divided by 347.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -274*h**3 - 4*h + 6. Let p(r) = 277*r**3 + 5*r - 7. What is -6*p(w) - 7*s(w)?\nAnswer: 256*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 92976111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.70485 bigger than -1881?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -294 - -298. Let s be 0 + -1 - -4 - 1. Put -2, s, v in increasing order.\nAnswer: -2, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7107 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-28))\/(j*j**(24\/5)))\/((j**(-34)*j)\/j**(-4\/17)))**(-1) assuming j is positive.\nAnswer: j**(3\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.57693 rounded to two dps?\nAnswer: 31.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40*a**3 + 3206*a**2 + 479*a - 80.\nAnswer: (a + 80)*(4*a + 1)*(10*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2151639629?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0*s = 2*f - 19, -3*s - 24 = -3*f. What is the smallest common multiple of f and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.109 to 1 decimal place.\nAnswer: -14.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 7 = 1. What is the lowest common multiple of o and (-15)\/(-35) - (-25)\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 2. Suppose -3*d = -d - b. Suppose d*j - 4*q - 10 = 0, -5*j + 13 = -0*j - 4*q. Solve i + j = 2*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(28) + sqrt(168)\/sqrt(6))**2 + sqrt(28))*5 - (sqrt(1792) + -2 + sqrt(1792))**2) + -1 + -2.\nAnswer: -6615 + 138*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 201, 447, 719, 1029, 1389, 1811, 2307?\nAnswer: 2889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 63, 77, 93, 111, 131, 153?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 4101148503?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 750*b**2 + b - 2 - 2*b - 754*b**2 to i*b**2 + r*b + w and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**0)**(-2\/19))**(-8)*(b**(1\/4))**(1\/14)*b**5\/((b\/(b**(-3\/7)\/b)*b)\/b) assuming b is positive.\nAnswer: b**(3651\/1064)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u + 4*p + 22, -2*u = -7*u + p - 22 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a meter in micrometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 6 - 2 = -2*a, 3*g + 4*a - 18 = 0. Let b(i) = 10*i + g + 4 - 4. Is b(3) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5655 or 5606?\nAnswer: 5606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + -13. Suppose 2*j - w = -13. Let g(r) = -2*r - 3. Give g(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*o - 4*p + 118, -2*o = -4*p - 100. Suppose -21*l + o = -18*l. Is l a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zffezefmfmzfffmfmee. Give prob of sequence mef.\nAnswer: 64\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6890, -27594, -62098, -110402, -172506, -248410, -338114?\nAnswer: -441618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**5 + 32*b**4 - 1478*b**3 + 7900*b**2 + 20352*b + 10944 = 0. Calculate b.\nAnswer: -38, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(((-8)\/(-64))\/(2\/(-6))).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3*c - 12. Let u be 2\/c + (-66)\/(-18). Suppose -53 = -u*d + 287. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 704947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13371048 by -6.\nAnswer: 2228508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.32, -31.5, 14\/11?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5249?\nAnswer: 29, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100112 - 1121200010?\nAnswer: -1121022121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/1067 and -1\/18678.\nAnswer: 1811766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**5\/3 + 928*c**4 - 160180*c**3\/3 + 959600*c**2 - 16509262*c\/3 + 4595952 = 0.\nAnswer: -1448, 1, 9, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 119 or 224?\nAnswer: 224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10 + 5 + -5)*12\/20. Let l(t) = -t - 7. Let v be l(-9). Let b(r) = -3*r**2 - r**3 + 7 + 0 + 6*r - 2*r**v + 2*r. Give b(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -184 - -442. Find the third derivative of -2*o**2 - 129*o**4 - 118*o**4 + w*o**4 - 5*o**3 wrt o.\nAnswer: 264*o - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 15*f = 36. Suppose -5*a = f*c - 8*c + 3, c + 4*a = 21. Find the second derivative of 88*z - 107*z - c*z**2 - 2*z**2 wrt z.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33854, -67834, -101814?\nAnswer: -135794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1555, -612, 331, 1274, 2217?\n\"Answer: 943*f - 2498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 448194 is divided by 112011?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0223 - -228.9777. Let n = 232 - s. Sort 0, 0.5, -6.1, n in descending order.\nAnswer: n, 0.5, 0, -6.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.3 + 8.2. Let v = 1.2 - g. Which is the nearest to 2\/7? (a) 5 (b) 1\/2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) + -4 + sqrt(176) + 1 - sqrt(176))*6 - (-2*sqrt(88)*3)\/(4*2*sqrt(8)).\nAnswer: -18 + 99*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5*((sqrt(52)*1*6)\/(-2*sqrt(484) - sqrt(4))*-5)**2.\nAnswer: 60616\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2124 + o + 2124.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4*s. Let l be 11\/(11 - -11) + 6\/4. Let h(p) = -4 + 0*p - 2 - 3*p - l - 1. What is h(n(u))?\nAnswer: -12*u - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u**3 - 4*u**2 + 4*u. What are the prime factors of d(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t**2 - t**2 + 4*t - 3*t**2)*(117 + 434 + 97) to b*t + f*t**2 + g and give f.\nAnswer: -1296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 817701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211066 (base 9) to base 8.\nAnswer: 365010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1206 divide 223538227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 s when four letters picked without replacement from {s: 1, o: 12}.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -14. Let t be 7 - 6\/l*2. Suppose 5*k + 16 = -t. Is -4 >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4*b + 18 = 0. Let a(l) = -l**2 + 7*l - 9. Let t be a(b). What is the units digit of -2*(-2 - (2 + t))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1304 (base 8) in base 15?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 6*s - 2. Let g(a) = -33*a + 143*a - 50*a + 3 - 48*a - 7. Give 3*g(u) - 5*h(u).\nAnswer: 6*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 107400571, 107400570, 107400569?\n\"Answer: -v + 107400572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + 30*b + 120. Determine p(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (17 + 12 - 10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5208 = 70*i + 76*i - 187*i + 165*i for i.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/19, -1, 4\/3, 1\/7.\nAnswer: -1, 1\/7, 6\/19, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 1210?\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 - 1738768.938253?\nAnswer: -1738768.848253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44915?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2*f + 65 = 8*w, 0 = 2*w + f - 48. List the prime factors of w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 9*x + 8. Let n be z(2). Let p(f) = -f**3 + 26*f**2 - f + 28. Let s be p(n). Let a(r) be the second derivative of 3*r**5\/20 - r**4\/6 - r. Give a(s).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -412531104 - 21?\nAnswer: -412531125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.8267 + -0.0347. Round c to one decimal place.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*9\/6*8\/6. Let v be (-4)\/14 + (-74)\/(-14). What is the third derivative of -2*p**5 - p**v + 2*p**5 - 2*p**l - p**2 wrt p?\nAnswer: -60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4c8a22 + 61?\nAnswer: 4c8a83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i - 8 + 0*i + 9. Let q be m(-1). Let f be ((-2)\/3)\/(8\/(-36)*3). Put q, f, 0 in decreasing order.\nAnswer: f, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33 - 23. Suppose -s*z + 51 = -229. Let j = -25 + z. Solve 2*t - 10 = 4*i, -5*i - 7 = j for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-19)\/(456\/(-16)) - (0 - 0). Let w be 34\/24 + 2\/(-3). Which is the second biggest value? (a) h (b) w (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2544, 2750, 2956, 3162, 3368?\n\"Answer: 206*n + 2338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r = -3*r - 14. Let u(l) = -2*l**2 - 2*l - 1. Let x(z) = 3*z**2 + 3*z + 2. Let b(q) = -5*u(q) - 3*x(q). Give b(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17583210?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in milligrams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -412a47 (base 13) in base 9?\nAnswer: -2765781","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o - 2*c = -5*o - 122, -4*o - c = -125. What is the highest common factor of 104 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 508 a factor of 333109316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 315?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 8*l - 9. Let z be 2 + (-9 - (-4)\/(-2)). Let y be s(z). Solve y = 3*a - a + 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 2 - (7 + -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 361\/7 + (-51)\/(-21) + -2. Suppose -o + 3*o = -2, 4*o = 3*a - l. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*y**2 + 0*y**2 + 3*y**2)*(-123*y + 24*y - 37*y) to z + g*y**2 + v*y + i*y**3 and give i.\nAnswer: -1496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 20833308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 16 = o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27883, -26981, -25479, -23377, -20675?\nAnswer: -17373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 99*m**2*s**2 + 1055*m**2*w**3 + 13*m*s**2*w**3 + 3*m*s*w**3 - 2*m*s + 2*s**2*w**3 + 3*s + 91*w**3 wrt m?\nAnswer: 198*s**2 + 2110*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -v**2 + 35. Let w(c) = -7*c + 0*c + 0*c. Calculate w(u(n)).\nAnswer: 14*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of 0 - 26\/35*y**7 + 0*y**6 + 35*y**2 + 0*y**3 + 4\/15*y**5 + 0*y**4 - 5\/12*y**8 + 0*y. Solve j(f) = 0.\nAnswer: -1, -2\/5, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 10. What is the highest common factor of n and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-1 - (-12 - -10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 128498, 128493, 128488?\n\"Answer: -5*j + 128503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 12 = 4*k + 44 - 191, 0 = -3*k + 10*x + 92 for k.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 12*o + 1. Let z(i) = 3393*i + 435. Determine -435*f(j) + z(j).\nAnswer: -1827*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 25\/8 of a gram?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -137543815 + 137543815.70524129. Let g = 0.8052413 - u. Let j = -0.1 + g. What is j rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 + 4*u + 5. Let q(s) = -s**3 - 11*s**2 - 9*s + 2. Let a be q(-10). Let x = a - -10. What is the smallest common multiple of l(-5) and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*j**3*u**2 + 22*j**3*u - 31*j**2*u**3 + 2*j*u**2 + j*u + 22*j - u wrt u.\nAnswer: -12*j**3 - 186*j**2*u + 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1003, 6, 39, 4.\nAnswer: -1003, 4, 6, 39","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 136658287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 3*f - 244 = f, 1 = -f. What is the remainder when k is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m + 1. Let k = 6 - 3. Let l(y) = y + 2*y**3 - 3*y**k + 2 - 3. Let h be l(1). Calculate b(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 78434988 to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*4*sqrt(1573) - (sqrt(208) + -1 - 2*sqrt(13)*2).\nAnswer: -220*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.11 (b) 1\/2 (c) -0.098 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -1091\/8 (b) 9 (c) -9 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3003 and 947947.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5*f = 95, 4*n + 68 - 203 = -f. Let u = n + -21. Calculate the highest common factor of 70 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of m**5\/20 - m**4\/6 + 7*m. Find the third derivative of z(s) wrt s.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10966*u**5 + 2*u**3 + 90*u**2 - 113 wrt u?\nAnswer: -657960*u**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -13*a**2 - 9*a + 1. Let n(i) = -7*i**2 - 5*i + 1. Suppose y + 19 = 5*s, 0 = 2*s - y - 0*y - 10. Give s*p(b) - 5*n(b).\nAnswer: -4*b**2 - 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/2471 and 101\/6328.\nAnswer: 2233784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - k**2 + 90 - 91 + 0*k**2 + 3*k. Suppose -514 + 554 = -10*q. Determine c(q).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m**2. Let i(z) = -187797*z**2 - 14854. Let c(y) = -1061*y**2 - 84. Let l(o) = 1061*c(o) - 6*i(o). What is l(h(p))?\nAnswer: 9549*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2257*i**2 - 2257*i**2 - 178*i**4 + (2*i**2 - 3*i**2 + 3*i**2)*(i**2 + 2*i**2 + 0*i**2).\nAnswer: -172*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250233 is divided by 252.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 12) to base 9\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 66.1 + -73. Round n to 0 dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1872, -1871, -1872, -1875, -1880, -1887?\n\"Answer: -c**2 + 4*c - 1875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 5*c + 5*u, -c + u + 4 - 2 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-28)*2680\/(-2010)*(-14)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 - -0.6. Let c = 9\/88 - -7153\/616. Let b = 12 - c. What is the nearest to 0.1 in 2, b, f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 70b6 + -2?\nAnswer: 70b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - r - 1 + 0*r + (2*r - 3*r - 5*r)*(2 - 1 + 0).\nAnswer: -7*r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19.5451 + 20.427. Let m = r - 0.87. Round m to three dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49699 is divided by 16521.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-1167)\/(-10503)*(-504)\/(-2)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-7) + (-52)\/(-14). Let x(m) = m**2 + 0*m**2 - o*m**2. Let t(s) = 1 - 3*s + 2*s - 1. Determine x(t(i)).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*f + 15*f = 12*f + 270 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.459976l in millilitres?\nAnswer: 9459.976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 104273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1031 + 1047. Calculate the least common multiple of p and 52.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -9*x**2 + 21*x - 17. Let s(l) = -3*l**2 + 7*l - 6. Let m(g) = -17*s(g) + 6*v(g). What is the second derivative of m(q) wrt q?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 + (11 - 11).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/2*-50*(-106)\/(-27825)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = a + 3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**3 + q + 0 + 0*q**3 - 2*q**3 + 2 as j*q**2 + d + y*q + s*q**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 2:03 PM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 40580 divided by -48\nAnswer: -10145\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -5*j**4 - 35*j**3 - 70*j**2 - 40*j = 0.\nAnswer: -4, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**3*z**(-5\/2)\/z assuming z is positive.\nAnswer: z**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 519.4 - 301.1. Let n = t - 238. What is n rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19630 - -39269. What is the thousands digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11.12 and -5.\nAnswer: 55.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of 2704*n**5\/5 + 728*n**4 + 212*n**3\/3 + 2*n**2 + 6576. Determine f so that b(f) = 0.\nAnswer: -1, -1\/26, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d**3 + d**3 - 4*d**3 + 7*d**2 - d + 7*d**2 as n*d**2 + z*d + w + j*d**3 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 122977 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 1 + (-3 - -6) + 0 + -8\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -36*w + 66 + 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-16))\/(y*y**(-35)\/y) assuming y is positive.\nAnswer: y**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = -4*i + 72. Let s = i - -30. Let c(l) = -5*l**2 - 11*l + 2*l**3 - l**3 + 6*l - 8. Give c(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from eeeeeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 0 - 5)*(-2*d**2 + 2*d**2 - 2*d**2) + 62*d + 33*d**2 - 62*d + 0*d + 5*d**2 + 0*d.\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j + j + 7 + 2 + 2*j.\nAnswer: -2*j + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50084*q**4\/3 + 150248*q**3\/3 - 4*q**2 = 0 for q.\nAnswer: -3, 0, 1\/12521","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/15, -0.1, -57, -577\/3?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 362245 or 362249?\nAnswer: 362249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3*j**2 - 9*j. Let w(m) = 4*m**2 + 10*m. Suppose -5*p + s = -6*p - 505, -p - 4*s = 508. Let g = p - -511. Determine g*h(d) + 6*w(d).\nAnswer: 3*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-4\/5))\/(j**0*j))**32*((j*j**(-4)*j)\/j**6)\/(j**(-1\/10)*j**(-3\/5)\/j) assuming j is positive.\nAnswer: j**(193\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -9*w**2 - 8*w - 3. Let u(d) be the first derivative of -3*d**3 - 9*d**2\/2 - 4*d - 10426. Give 7*p(x) - 6*u(x).\nAnswer: -9*x**2 - 2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 39*x**2 + 6*x + 2. Let l(p) = -p**2 + 15*p - 1. Let j be l(15). Let f(t) = t**2 - t - 1. Calculate the remainder when s(j) is divided by f(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 5*n - 317, 4*w + 384 - 116 = 4*n. Let j be 13\/(n\/200) + -4. What is the highest common factor of j and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 348 and 1232268?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*g = -0*g - 98 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -3. Let y be (-1 + 1)*(-10)\/(1 - 31). Suppose 580 = -y*c + l*c. Is 18 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.07 + 0.03. Let d = n - -0.14. Suppose 4 = -2*y - 0. What is the nearest to 0 in y, d, -0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 + -11. Calculate the remainder when s is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.3015095 rounded to one decimal place?\nAnswer: 90.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-92)\/32*(-800)\/100?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2 + 96791*s - 7157058.\nAnswer: -(s - 96717)*(s - 74)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of j**8\/10080 - 11*j**5\/60 + 72*j**2. Let p(s) be the third derivative of z(s). Let c(y) = y + 5. Calculate c(p(f)).\nAnswer: 2*f**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133)\/sqrt(63) - (1*-2*sqrt(19) + sqrt(19))) + 0 + 4*sqrt(171)*3)**2.\nAnswer: 238336\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -48*j + 55*j. Suppose -86 + 240 = j*i. What is the common denominator of -16\/15 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75690?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -1\/2 (c) 1 (d) -0.042 (e) -1\/3 (f) -13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -83, -2, -6, -32 in ascending order.\nAnswer: -83, -32, -6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 7744544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u - 3. Let x be w(-6). Suppose -2*g - x*g + 15 = 0. Let m = -3 + g. What is m rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 2*q + 4, -4*q - 66 = -2*k - 74 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -147 - -263. Let r = h + -21. Suppose 3*d + r = 8*d - s, 4*s = -2*d + 16. What is the highest common divisor of d and 234?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12274 + -11593. List the prime factors of f.\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100 - 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + 25 + -47 - -67.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 558*k - 1669. Calculate t(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*c = 95, 501 = 5*g - 5*c + 2*c. Is g a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/20 and 1\/480.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -924795?\nAnswer: -2774385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2. Let d(a) = a - 2. What is -d(k) - 3*l(k)?\nAnswer: -3*k**2 - k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 7*a**2 + 293*a - 2868. Determine p(12).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 13*v**3 - 40*v**2 - 37. Let i(m) = 3*m**3 - 10*m**2 - 9. Let d(u) = -9*i(u) + 2*r(u). Determine d(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.37313 hours to days.\nAnswer: 1.05721375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -6 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4220 and -17303?\nAnswer: -73018660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 7018 = -12*v. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = h + 4*h. What is the first derivative of 8*l**h - 21*l**2 + 8*l**2 + 4 wrt l?\nAnswer: -10*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and (11\/((-55)\/(-10)))\/(-2)*-6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**2 + 3*b**2 - 29*b**4 + 20*b**4 + b**2 wrt b?\nAnswer: -216*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 345256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 15, 0.2, 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-5\/4)*z*z)**(-42)\/(z**(-2\/33)\/((z\/z**4)\/z*z)) assuming z is positive.\nAnswer: z**(-5045\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 24 = 6*q. Let v(k) = -3*k**2 + 6*k**2 - q*k**2. Let w(f) = 8*f - 6. Let u(p) = -7*p + 5. Let t(x) = 6*u(x) + 5*w(x). Calculate t(v(z)).\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 53 and 424.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2520 and 1497384.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*f + 18*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 2*p - 4341 = 4*c - 4521, -3*p - 5*c = -193 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of 0 - 13\/40*t**6 + 0*t**5 + 1\/24*t**4 - t**2 + 67\/3*t**3 - 24*t. What is the derivative of l(w) wrt w?\nAnswer: -117*w**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0*i = 27. Let w be (-4)\/(-18) - (-222)\/i. Is w\/(-28) + 159\/7 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 197 - 195. Suppose -8 + 0 = -4*f. What is h in 97*h**4 + 10084*h**2 - 7521*h**f + 1183*h**4 - 6400*h**3 + 3125 - 10000*h + 9437*h**a = 0?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 6:16 AM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002888 to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 579, -5, 1\/4, -1 in increasing order.\nAnswer: -5, -1, 1\/7, 1\/4, 579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9 - -1)*(-2)\/4. Suppose 3*l + f = 3*f + 11, -11 = -t*l - f. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 - 1)*(4*t**3 - 2*t**3 - 4*t**3 + (0 + t**3 + 0)*(1 + 2 - 2) + 0 + 0 + 2*t**3 - 12 + 12 - 7*t**3).\nAnswer: 18*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 28 = 5*j - o, -5*o = 10. Solve 4 = x + j*q - 9, -4*q - 2 = -2*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, i: 3, e: 2, s: 3}. Give prob of sequence eid.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is -65 + 63 + (-3 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-8))\/(-4*8\/64).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(3)*-1 + 5)**2.\nAnswer: -16*sqrt(3) + 67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 0 + 2 + 10 - 7*p + 16*p - p**2. Let m be r(9). Suppose 0 = -c - 2*c + m. Solve k + 4*k + 6 = 4*y, 0 = c*y - 4*k - 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29371188 and 616?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 198625227 divided by -263.\nAnswer: -755229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 386412, 772818, 1159224, 1545630, 1932036, 2318442?\n\"Answer: 386406*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 27 + 5 = 0. Let l(f) = 70*f**3 + 24*f**2 - 8*f - 8. Let j(h) = h**2 - h - 1. Let q(o) = t*j(o) - l(o). Find the third derivative of q(m) wrt m.\nAnswer: -420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 20 + 412. Is k a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7496272.\nAnswer: 2, 7, 66931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44950 is divided by 23?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 220, 212, 194, 160, 104, 20, -98, -256?\n\"Answer: -b**3 + b**2 - 4*b + 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -y - 2*y - 10, -5*y + 3*o - 7 = 0. What is the tens digit of (-26)\/4*y - 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 435 = 2*v. Let r = v - 40. What is the remainder when r is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k + 16. Let r(o) = -o**2 - 17*o + 27. Let b be r(-17). Let y be 5\/((-15)\/b) - 4. Let t be n(y). Solve -16 = t*z + z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1178 - 0.5\nAnswer: 1177.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3620321, -7240640, -10860959, -14481278, -18101597?\nAnswer: -21721916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22300 (base 4) in base 16?\nAnswer: 2b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43 + 39 + 73*m - 121 + 39.\nAnswer: 73*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -392 + 387. Sort 4, m, 2, -0.5 in increasing order.\nAnswer: m, -0.5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28378444 is divided by 670?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -286.\nAnswer: -1144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.1*22.\nAnswer: 68.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 18517 = -69243. Let o = k + -15161. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of r**7\/1260 + r**4\/4 + 2*r. Let p(k) be the third derivative of f(k). Let q(n) = 21*n - 7*n - 2*n - 13*n. What is p(q(j))?\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z**2 - 24*z**3 + z**2 + 38*z**3.\nAnswer: 14*z**3 + 5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 4, 4*c - 4*n - 5222 = -1790. What is the greatest common factor of 2461 and c?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 23*p**2 - 5*p + 54. List the prime factors of v(-9).\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of 5*w**6\/24 - w**5\/15 + w**4 + 15*w**2. What is the third derivative of j(s) wrt s?\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + t - 2*t)*(43 - 36 + 29 + 123).\nAnswer: -318*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/(1*sqrt(484) - sqrt(4)).\nAnswer: sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 5*s**2 + 2*s - 6. Let x be r(5). Suppose -2 - x = 3*v. Let l be v - 4\/((-8)\/3). Which is the nearest to l? (a) -1 (b) -2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 762 is divided by 707?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.05, -4, 8, -53, 4?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 68143673 to the power of 1\/3, to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 + 2. Let i = 34 + z. Suppose 3*a + y = -2*a + 442, 6 = 3*y. What is the greatest common factor of i and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9440, 18648, 27856, 37064?\nAnswer: 46272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 491923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35469 divided by -563.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*s + 4*s**2 - 3*s)*(-2 + 1 + 4)*(-7 + 13 - 5) to n + i*s + m*s**2 and give m.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 38*y - 33*y + 6 = 0, 0 = -y. Solve 0*p + j = 3*p - 3*g, -p + 4 = 2*g for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 3:18 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1667, -7415, -17225, -31097, -49031, -71027, -97085?\n\"Answer: -2031*p**2 + 345*p + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9191 + 345*k**2 + 5*k**3 - 3*k + 3*k - 9190.\nAnswer: 5*k**3 + 345*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a\/a**5*a*a*a*a**(-3)*(a\/a**(-4\/7))\/(a*a\/(a**1*a*a)) assuming a is positive.\nAnswer: a**(-3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -326 + 221. Let m be 8\/10*v\/14. Let b = m + 9. Put -4, -5, b in descending order.\nAnswer: b, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p\/(p**(-3\/7)*p*p)*p*p))\/(p**5*p*p)*(p\/(p\/((p\/p**(-10\/13))\/p)*p))**13 assuming p is positive.\nAnswer: p**(-66\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2561 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/21*((-1)\/(-12))\/((-304)\/(-5472))?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a**2 - 4*a**2 - 2*a**4)*(-4 - 10 + 2).\nAnswer: 24*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50\/(-48)*(-140)\/175*(-10)\/(-25).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 324 = 13*x + 220. What is the remainder when 13 is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1942 + -1937. Which is the second biggest value? (a) u (b) -5\/6 (c) 26 (d) -12 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llhlhhelihehh. What is prob of picking 1 i and 2 h?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) 1\/2 (c) 5\/7 (d) -0.7 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggrrrgrgr. Give prob of sequence rr.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 2 + 12, -u = -5*s - 14. Let y = 200 - 2. Let v = 390 - y. Calculate the greatest common factor of v and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52450759?\nAnswer: 179, 293021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2 = 3*o. Suppose o*d = -2*d + 20. Solve -d*p - 7 = w, -p + 6 = 5*w - 7 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -92 + 104. Suppose -3*j + 5*q = -30, 2*q + 38 + l = 5*j. Calculate the lowest common multiple of 10 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 75*v**2 + 365*v - 7528. What is the hundreds digit of w(22)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12304?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -484 (b) -6 (c) 4\/7 (d) -1\/34 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 139, 685, 2.\nAnswer: -3, 2, 139, 685","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (75\/(-50))\/((-2)\/(-4)). Let h be ((-18)\/15)\/(c\/1440). Suppose 5*k - 2*z = h, -141 = -3*k - 5*z + 217. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/4 - (-1332)\/16. Suppose 28 = -5*g + c. Calculate the remainder when 31 is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17560 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18010303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 t when two letters picked without replacement from {t: 1, d: 2, o: 1, q: 1, w: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a tonne in kilograms?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16*(-10)\/160*15.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 151006990 and 296.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42928387 + 474521706\/11. Let n = l + -210101. Let j = 151 + n. Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 4*z**2 - 2*z + 12. Let n = 452 + -457. Give f(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19619 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = 13*z - 7 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*m**2 + 2*m + 5 + 60632*m**3 - 60632*m**3 + m**5 wrt m.\nAnswer: 20*m**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6186 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 22051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 78774 + -551206\/7. Find a such that -u*a**2 + 50\/7*a**5 + 258\/7*a**3 + 240\/7*a**4 - 264\/7*a + 144\/7 = 0.\nAnswer: -2, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1518 and 27830.\nAnswer: 83490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -13*d**2 - 99*d + 18. Give u(-8).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 137480000 to the nearest 1000000.\nAnswer: 137000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 632303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*1\/(-4) + (-231)\/(-276)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 7*f - 2*f. Let p(c) be the third derivative of 0*c + 0*c**6 + 2\/105*c**7 + 1\/6*c**3 + f + 3*c**2 + 0*c**5 + 0*c**4. Differentiate p(d) wrt d.\nAnswer: 16*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -121055 divided by 2.\nAnswer: -121055\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 53 + -163\/3. What is the closest to -2 in -0.4, p, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**4 - 4*n**4 - n**4 - n**4 - 1 + 1 + (n**4 + 0*n**3 + 0*n**3)*(-2 + 4 - 3) + (8*n**2 + 125*n - 125*n)*(39*n + 10*n**2 - 39*n))*(-2 + 4 - 5).\nAnswer: -228*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25 and 135.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 518 and 2807?\nAnswer: 207718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16777 is divided by 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 208 = 3*z. Suppose -5*r = -r - z. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 61847021 to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**2. Let x(s) = 3*s**2 + 591. What is t(x(h))?\nAnswer: -18*h**4 - 7092*h**2 - 698562","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*b = -121106 - 782334. What are the prime factors of b?\nAnswer: 2, 23, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 75, 142?\nAnswer: 209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6396 and 780.\nAnswer: 31980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 346*u + 387*u - 731*u + 693*u**2.\nAnswer: 693*u**2 + 2*u + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1232 + 1240. Let q(w) = -3*w + 13. Let x(k) = k - 6. Let v(i) = -3*q(i) - 7*x(i). Does 8 divide v(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f**2 - 11*f - 9. Let t be n(-4). Suppose -5*b = -4*y, -5*y = 4*b - t*y. Solve b*l = -2*l - 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-30)*(-27)\/(-9).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 - 9*j - 4. Let z be h(-7). Suppose z - 4 = 2*m. Suppose 3*v + 2*v = -10, m*v + 18 = f. Calculate the least common multiple of 18 and f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - t = -2*t - 64, 5*q - 69 = 4*t. Suppose 16*z = -7*z + 46. Sort z, -2, q in ascending order.\nAnswer: -2, z, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (624 + 53422*f - 53422*f + f**3)*(2*f + 4 - 4) - f**4 + 5 - 5 to the form w*f**2 + u*f**3 + o*f**4 + y + c*f and give c.\nAnswer: 1248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -250*m + 27. Let k be s(-2). What is the highest common divisor of k and 248?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 21*z - 14 - 1 + 5 - 3*z.\nAnswer: 18*z - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - q + 4. Let m be z(0). Suppose -m*u + 2*f - 87 = -221, u - 16 = -3*f. Solve 0 = -5*s + 2*i - u, -3*i = -s - 3*s - 29 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001189975008 rounded to 5 decimal places?\nAnswer: -0.00119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/27*(-6)\/(-4))\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58.6 + -59. What is the fourth biggest value in -2, -1\/5, s, 2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 100, 57, 14, -29?\n\"Answer: -43*r + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42 - -2. Let y = l - 42. What is the third derivative of -17*a**2 + 10*a**y - 6*a**3 + 30*a**2 - 7*a**3 wrt a?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1184880394?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j + 5. Let d be t(5). Let q(h) = -5*h + 6. Let x(c) = 6*c - 5. Let s(g) = 5*q(g) + 4*x(g). Calculate the smallest common multiple of 8 and s(d).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50866207 a multiple of 1195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 156316 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3749428, -7498871, -11248314, -14997757, -18747200?\nAnswer: -22496643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 29*i**2 - 8*i + 1. Suppose -16 = -2*w - 2*t, -t = -5*w + 42 + 22. What is the lowest common multiple of w and s(1)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11979 and -0.4.\nAnswer: -4791.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 4*p = -71 + 19, -2*k - 3*p + 51 = 0. Let w(z) = 4*z - 4. Let v = -4 - -8. Let f be w(v). Calculate the greatest common divisor of k and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1827 divided by 261?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 12*n - 1. Let k(v) = 14*v - 4. Calculate 4*k(y) - 5*l(y).\nAnswer: -4*y - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -409107*m**2 + 5*m*y**3 - 4879996*y**3 wrt m?\nAnswer: -818214*m + 5*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*u + 4*u - 7*u - 7*u.\nAnswer: -17*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**2 + 6*n - 3. Let v(t) = -4*t**2 - 11*t + 6. Suppose 0 = -1389*y + 701*y + 693*y - 20. Determine y*v(p) + 7*z(p).\nAnswer: -2*p**2 - 2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 35766 - 45?\nAnswer: 35721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/4))**(-29)\/((g\/(g*(g*g*g*g*g**(1\/9)*g*g*g*g)\/g*g))\/g**(-7))*(g*(g\/(g**9\/g))\/g*g\/(g\/g**(1\/7)*g))**13 assuming g is positive.\nAnswer: g**(-23633\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2364.173 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223 - 135 = -283*s - 75 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16818, -33640, -50464, -67290, -84118, -100948?\nAnswer: -117780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/2967 and 83\/6?\nAnswer: 5934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i**2 - 24*i + 2. Let s be h(8). Let m be s - (1*-13 - (-7 - -4)). What is the greatest common factor of 54 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/6*(-6 - 18)\/8. Solve -3*f + 16 = v*a + 20, 4*f = -2*a - 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-210))\/((-275)\/(-66)*2\/(-10)).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/(-10))\/(1*9 + 2223\/(-234)). Sort -3, 82, 1\/3, x.\nAnswer: -3, x, 1\/3, 82","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 7:20 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 + 8. Let m = b + 8.4. Let f = 0.7 - m. What is the third smallest value in f, -2\/5, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.93 + 0.07. Let o = -4 + l. Let t be (2\/(-4))\/(7\/35*-10). Which is the closest to -2\/27? (a) t (b) 4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, j: 1, p: 3, k: 4, w: 9}. What is prob of picking 1 k, 1 p, and 1 v?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 + 197 - 78)*(3*b + b + b) + b - 3*b + b - 3*b + 5*b - 3*b + (-3 + 1 + 4)*(0*b - 3*b + b) + 1 - 1 - b - b - 2*b + 5*b.\nAnswer: 710*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(1\/16)*o*o)\/o)**9)**(-7\/3) assuming o is positive.\nAnswer: o**(-357\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 5*i**2 - 5*i - 4. Let l be z(-3). Let f(c) = -2*c**2 + 19*c + 179. Let j be f(-6). What are the prime factors of (j\/(l\/36))\/((-1)\/2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15341 and 0.012.\nAnswer: 184.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 0)\/(-2 + 1). Suppose -2*z - 3*t + 11 = -4, b = -5*z - 5*t + 25. Suppose -4*n + n - 18 = z. Which is smaller: n or -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 1, 2\/13, 4360, -27.9, -2\/19?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -25\/11 (b) -1 (c) 3\/5 (d) -0.1 (e) -11 (f) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 4 + (5 - 5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of 0 + 0*b + 2*b**2 + 1\/6*b**3 - 1\/12*b**4 + 1\/30*b**5. What is the units digit of p(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3*u + 3. Let t be 261\/(-81) + (-4)\/(-18). List the prime factors of j(t).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 374 + -374. Is m greater than or equal to 6.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -327 = -6*m - 33. What is the greatest common divisor of 1421 and m?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 3*f + 1. Let k be 1*-2 - 0\/3. Let g be c(k). List the prime factors of 1 + g + 5*2.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 704779860 divided by 234926620.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t + 0*t + 2*t**4 + (-2*t + 2*t**2 + 2*t)*(3*t**2 + 0*t**2 - 4*t**2) + 8*t**4 + 17*t**2 - 17*t**2.\nAnswer: 8*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 240*s = -994*s - 14808 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*h**2 - 394*h - 10*h**4 + 394*h)*(-1 + 4 - 1).\nAnswer: -20*h**4 + 50*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - 21 - 6) + -43 - (4 - 5 - 0)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x - 5. Let k(q) be the third derivative of 1\/24*q**4 - 1\/6*q**3 + 0 - 62*q**2 + 0*q. What is -k(v) + z(v)?\nAnswer: 2*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 8\/11*k + 2\/11*k**4 + 0*k**2 + 6\/11*k**3.\nAnswer: 2*k*(k - 1)*(k + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16 + 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - 0 - (1 + -4). Suppose -7 = -2*h + s, -h + b = 3*s + 7. Let l(i) = i + i**2 + 2 - 3*i**2 + i**h. Determine l(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r - 138 = 4*q - q, 78*q - 5*q - 71*q = 2*r - 74 for q.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*r + 18*r - 1139 = -155 for r.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 199829517 to the power of 1\/2, to the nearest integer?\nAnswer: 14136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(7) - (sqrt(84)\/(sqrt(12)*-2) - sqrt(7))).\nAnswer: 5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(95)\/((sqrt(80) - (sqrt(80) + 1*sqrt(80) - sqrt(80))) + sqrt(5)) + -2 + (-2*sqrt(190))\/sqrt(10) + sqrt(475) + 3))**2*-1.\nAnswer: -10980 - 288*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.3842 + -7.9841955. Let a = d - -0.6. What is a rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 651*x + 467. Is c(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 125 - 45. Let k = v + -84. Which is the fourth smallest value? (a) k (b) 5 (c) 0.2 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -13) + 3 + -16 + 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 + -12. Suppose k = -n + 3, 23 = d*k - k + 3*n. Let w(l) = -l**2 + 8*l + 1. List the prime factors of w(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 43*s - 633. Determine q(11).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-5))\/((-1)\/670*-1). Suppose h = 6*j - 156. Is 30 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 314736 to the nearest 10000.\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 52*n + 98 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41*b + 2 + 28*b + 17*b to the form i + k*b and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -433973\/87582 - -2\/3981. Calculate the common denominator of q and 37\/1810.\nAnswer: 19910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 34 = -a + 20, 0 = -a + 2*j + 39. Calculate the remainder when a is divided by 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 702, 701, 700, 699, 698, 697?\nAnswer: 696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**2 - 3*c + 22. Let u be r(-4). Suppose u*i - 10*i - 18*i = 0. Solve 2*j - 10 + i = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 515, 1024, 1537, 2054?\n\"Answer: 2*p**2 + 503*p + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4*o + 1. Let l(i) = 3*i. Let f(b) = 3*l(b) - 2*n(b). Let y be f(2). Suppose 5*g = -0*g + 115. Solve y*m - 3*m - 2*x - 6 = 0, -2*m - g = -5*x for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2137\/9 in 155, -2\/3, 0.2?\nAnswer: 155","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h**2 + 10*h + 3. Let f be b(-8). What is the highest common divisor of f and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 3*g**2 + 7*g + 0 + 3*g + 4. Let a be k(-5). Factor 0 - 4\/5*o**3 + 2\/5*o**a + 2\/5*o**2 + 0*o.\nAnswer: 2*o**2*(o - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16145 - -48437\/3. What is the fourth smallest value in -2, y, 113, 0?\nAnswer: 113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 210 = -17*g. Let -g*p**4 + 33*p**3 + 36*p**4 + 3*p**5 + 42*p**3 + 8*p**4 = 0. What is p?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/30)\/(2088\/90 + -23).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does -73536 = -77986?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 1)*(j - 2*j + 2*j) - 2*j + 2*j - 3*j + (-1 + 8 + 14)*(-2*j - 3 + 3) + j + 0*j + 0*j + (2*j - j + 0*j)*(2 - 2 - 2) as d + s*j and give s.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -2. Which is bigger: n or 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(35\/7))\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44760?\nAnswer: 2, 3, 5, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 278 - 278. Which is smaller: -0.088 or j?\nAnswer: -0.088","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (((-72)\/293568)\/((-2)\/8))\/(-3). Which is greater: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -7244, 1\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 4*z - 24 = 0, 4*q + 5*z - 2*z - 23 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**5 - 108*v**4 - 1992*v**3 - 5308*v**2 - 5082*v - 1656 = 0. Calculate v.\nAnswer: -12, -1, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -0.2 (b) 0.9 (c) 0.209\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 3)*(-3*n - 9*n + 6*n).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1975.49 less than -0.0987?\nAnswer: 1975.3913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*d - 10*d = -5*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-62)\/5 - (-8)\/20. Let m = l + 50. Suppose -35*k = -m*k + 27. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of -197*w**5\/20 + 43*w**4\/2 - 4*w - 24. What is the third derivative of j(u) wrt u?\nAnswer: -1182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21447*p - 1789*p - 19653*p.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-244)\/30 + 3\/9. Let c = u + 15\/2. Which is greater: 0 or c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z + 7. Let c be d(-10). Let k be (c - -4) + (-1 - 1). Let v(f) = 4*f + 1. Calculate v(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*k**3 - 2*k**3 - 2*k**3)*(k - 3*k + 4*k) - 2*k + 2*k**4 + 1118*k**2 - 1118*k**2 - 11*k**3 in the form o*k + q*k**4 + s*k**2 + t + m*k**3 and give m.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from {n: 3, f: 1, l: 4, x: 4, z: 1, i: 1}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -120255422 (base 6) to base 8\nAnswer: -10503346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c - 5. Let g be i(6). Suppose 2*v + g = j, -2*v + 3*j + 7 + 2 = 0. Let u = v - -6. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 427*p**2 - 2*p**3 - 627*p**2 + 200*p**2.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.04 - 2.96. Let x = 39\/68 + -11\/34. Let p(f) = f**3 - 20*f**2 + 17*f + 34. Let s be p(19). What is the second biggest value in m, s, x, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of d**3 - 1. Let x(i) = 4*i + 5. Let o(a) = 3*a + 6. Let k(v) = -5*o(v) + 6*x(v). Give k(y(n)).\nAnswer: 27*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/25 + (-6)\/10. Suppose 5*t + 44 - 9 = 0. Is t < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-44)\/198 + (-430)\/9. Let i = v + 51. Is -1 greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27\/(-6) + -2 - -4\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 1.2, 8, 60?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*f**3*z + 2*f**2*z - 50*f*z + 215*z + 2 wrt f.\nAnswer: -18*f**2*z + 4*f*z - 50*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34910, 34916, 34932, 34964, 35018, 35100, 35216?\nAnswer: 35372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-32*y - 4*y - 5*y + 6*y - 3)*(-27*y**2 - 34*y**2 + 52*y**2)*(-2 + 2 - 10*y) in the form o*y**3 + v*y + c*y**4 + i*y**2 + b and give o.\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -1963*o + 3841*o + 4 - 1611*o. Let k(a) = a**2. What is k(n(d))?\nAnswer: 71289*d**2 + 2136*d + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -584 + 584.00061. Round c to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-24)\/(-10))\/(6\/20). Let d = 81 + -49. Let l = d - j. What is the remainder when l is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sbsb when four letters picked without replacement from bsssbssbsbsbb?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14)\/((-4)\/(8\/(12\/(-3)))). Let m be (26 - 30)*(-1)\/(-4)*h. Which is smaller: 4 or m?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i - 22*i - 11*i + i + i - 4*i + (0 + 0 - i)*(-2 - 1 + 5))*(0 + 0 + 1)*(12 + 5 - 7)*(3*i - 3*i - 2*i + (-3*i - 4*i + 5*i)*(1 - 2 + 3)).\nAnswer: 2400*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 3*r**2 + 6*r - 1. Let f(v) = 2*v**3 - 7*v**2 - 13*v + 3. Let a(p) = -p**2 + 4*p + 7. Let x be a(6). Let y(c) = x*g(c) - 3*f(c). Give y(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59836505 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-7))**23 assuming c is positive.\nAnswer: c**(-138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/23, 3, -8, -0.5, 4 in descending order.\nAnswer: 4, 3, -2\/23, -0.5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1155183101 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l = 50*l - 91904. What are the prime factors of l?\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 950?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21207 is divided by 2594?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f + 114. Let o(k) = -3*k + 456. Let c(m) = 15*b(m) - 4*o(m). Calculate the remainder when 26 is divided by c(-43).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 11:30 PM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 18*s**2 + 21*s + 38. What are the prime factors of k(-13)?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1220211032022 - -2?\nAnswer: 1220211032030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 548813.\nAnswer: 79, 6947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33294 + -10923. What is the ten thousands digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*t - q - 0*q, 4*t + q = 13. Suppose -4*n - z = 0, 2*n - t*z = -n. Solve -3*u = -6 - n for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/21)\/((-2)\/8*(-64)\/(-112))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -2*n**2 + 1. Let b be m(-1). Suppose 51 - 15 = b*j. Is j a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -693 divided by -9.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g*g**6)*g**(-1\/7))**(-2))**(2\/95))**(-4\/25) assuming g is positive.\nAnswer: g**(-688\/16625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.16, -3, 372?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 2 + 3)*(0 + 3 + 0)*(-3 + 4 - 4)*(0*f + 2*f + 0*f) to the form s + h*f and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -4*p - a, 3*p - a - 3 = 4*a. Let b(f) = -f - 6. Let s be b(-3). Sort s, -5, p.\nAnswer: -5, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p\/p**(15\/7))\/p)\/p**(1\/61))\/(p**(-1\/2)*p\/(p\/(p*p**23*p))))**18 assuming p is positive.\nAnswer: p**(-204903\/427)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8298 and 102?\nAnswer: 141066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -547 - -513. Are -35 and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 94500363*d**3*m + d**3 + 2*d**2*m - d*m + 2*d - 31*m - 65189 wrt d?\nAnswer: 567002178*d*m + 6*d + 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(2\/19)*t**(-5)\/t*(t*t\/(t*t\/(t**1*t))*t)**(-2\/91)*(t**5\/t**0)\/(((t*t*t**0)\/t)\/(t\/(t\/(t**(3\/4)\/t)))) assuming t is positive.\nAnswer: t**(-15289\/6916)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2165855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 1\/4 (b) 3 (c) -3\/5 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7.5 - 7.346. Let h = u - 0.054. Let l be (-2)\/(-56) + 8\/(-28). Which is smaller: l or h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/1767 and 103\/186.\nAnswer: 3534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 2 + 2 + sqrt(432))**2 - (1 + 2*sqrt(432)*-4)**2.\nAnswer: -27168 + 360*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, 181, 415, 743?\nAnswer: 1165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/7*j**3 + 0*j - 1\/7*j**5 - 1\/7*j**4 + 0 + 1\/7*j**2.\nAnswer: -j**2*(j - 1)*(j + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 5*c**2 - 2*c + 1. What is f(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40049?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/3)\/(-1)*-12*42\/(-144).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -1 + (-38)\/(30590\/11937).\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 309\/173?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-3) - 0)*4. Let f be (-3 + 2)*n\/(-20). What is the closest to -1 in f, -0.5, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*l + 6 = -38*l, -5*l - 258 = -2*d. Solve 117*k - d*k - 3*u = 0, -4*u = -4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 1:09 AM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-16))**(-2\/5) assuming z is positive.\nAnswer: z**(32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*m**3 + 5*m**3 + 4 - 1 in the form k*m**2 + i*m + r + x*m**3 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/17))**(-19)*(w*w**3*w*w*w)**(1\/6) assuming w is positive.\nAnswer: w**(347\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 PM and 11:52 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e51b3a9 + 4?\nAnswer: e51b3ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = -0*h - 3*h. Let u = h - -26. Solve u = -4*o - o + 25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -6*x**2. Suppose -1 = 5*a + 4. Let f be r(a). Let k(c) = c**3 + 7*c**2 + 7*c + 2. Give k(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - 3*k**2 + 28*k + 59. Calculate c(-7).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*u - 2102 = -9*u + 9*u + 98 for u.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29\/54 + 1\/27. Let k = 2.28 + -0.08. Let f = -0.8 - k. Which is the closest to -2? (a) f (b) 1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**3 - 149*l**2 + 284*l - 163. Let x(k) = 3*k**3 + 224*k**2 - 425*k + 246. Let m(g) = -8*s(g) - 5*x(g). Solve m(b) = 0.\nAnswer: -74, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187418473?\nAnswer: 11, 1548913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.13652*4\nAnswer: -0.54608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -112 - (-4104)\/38 - 115\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14462763 divided by 4820921?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by 4523.\nAnswer: -18\/4523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -68.00412 - -68. What is w rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of j**5\/15 + 29*j**4\/3 + 144*j**3 + 4*j**2 + 481*j. Factor y(s).\nAnswer: 4*(s + 4)*(s + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 f, and 1 s when three letters picked without replacement from {l: 2, f: 2, d: 4, s: 5}.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/15 and -123\/240430.\nAnswer: 721290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*v + 31*v = -2. Suppose 25 = o + 4*h - h, -3*o = -5*h - 89. Let p = v + o. Does 10 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 451*u - 294*u + 579*u.\nAnswer: 736*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-1*sqrt(12) - (sqrt(36)\/(sqrt(18)\/sqrt(6)) - sqrt(12)))\/(-2*-2*sqrt(294)*-4).\nAnswer: -sqrt(2)\/112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/644 and 13\/22?\nAnswer: 7084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 74\/85 + -8\/17. Let l = -16\/15 + f. Let q be -5 + (3 - 2) - -3. Which is the second smallest value? (a) l (b) q (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 3 = b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than -1688170076367.9?\nAnswer: -1688170076367.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 20*a**2 + 27*a - 42. Give w(-19).\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w + 7. Let y(x) = 3*x - 20. Let z(a) = 17*g(a) + 6*y(a). Let l be z(4). Suppose 4*r + 176 = 4*q, l*q + r = 5*q - 88. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (6\/4)\/((-7052)\/1107) and -37\/8.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 20 - 5 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7114 = 2067*b - 4925 + 3771 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -401 in decreasing order.\nAnswer: -2, -5, -401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(-4) + (-7 - -13). Suppose b = -y + 10, -y - f = 5*b - 42. Calculate the lowest common multiple of (-1 - 2)*30\/(-9) and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 9:59 AM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2 + 52 = 0. Let f be (o\/(-6))\/5 - 1. Put -1.1, -5, f in descending order.\nAnswer: f, -1.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of 184*c**7\/7 - c**4\/2 + 2302*c**3\/3 - 514. What is the third derivative of f(t) wrt t?\nAnswer: 22080*t**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.4 to 2 decimal places.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -875*w + 117*w**3 - 43*w**3 + 878*w + 88*w**3.\nAnswer: 162*w**3 + 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1 (b) 1\/2 (c) -28.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = -4*j + 13. Let w(v) be the second derivative of -v**4\/12 - 7*v**3\/3 - 8*v**2 - v. List the prime factors of w(j).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45329*s**2 - 45363*s**2 - 45328*s**2 + 226691*s**2 - 45333*s**2 - 45330*s**2.\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 4*w. Let b(l) = -3*l. Let x(a) = a**3 + 3*a**2 - 3*a + 1. Let c be x(-4). Suppose 0*t = 5*n - t + 9, -2*n - 9 = 5*t. What is c*b(v) + n*p(v)?\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2 - (-3 - 2)) + -7 - 38) + 1 + -6?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -450 divided by 45\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p - 8. Let a be l(-7). Suppose -a*o + 12 = -2*o. Is 2 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 0, 5*u + m - 135 = 3*m. Suppose -12114 = -u*i + 9*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of -5*x**7\/6 - 8*x**6\/3 + 3*x**5\/4 + 20*x**4\/3 + 10*x**3\/3 - 34*x. Find u, given that v(u) = 0.\nAnswer: -2, -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 32 - -210aa?\nAnswer: 21131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + f - 48. Let g be i(-8). Suppose 72 + 192 = g*u. Calculate the highest common divisor of 132 and u.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43 + -59 - 0 - 5?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 111101010011010 (base 2) in base 6?\nAnswer: 401150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 13*u**2 - 5*u - 9. Let p(b) = -3*b**2 - b - 2. What is -2*h(i) + 9*p(i)?\nAnswer: -2*i**3 - i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -819 + 1171. Let p = 357 - y. Solve -p*b - h = -24, -h + 18 = 4*b + h for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 1 + 1 = 0. Sort 1, -5, l, 6 in increasing order.\nAnswer: -5, l, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5001 and 11.\nAnswer: 55011","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -142*k**2 - 9 + 6 + 362*k**2 - 171*k**5 wrt k.\nAnswer: -10260*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/7 + 11*10\/35\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-62)\/(-6) + -1)\/(3\/9). Calculate the greatest common factor of 28 and m.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3\/7 + 282*z**2\/7 - 573*z\/7 + 288\/7.\nAnswer: 3*(z - 1)**2*(z + 96)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39192.58777 + 39355.102. Let c = -41.51108 + f. Let t = c - 121. What is t rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 70 - 73.7. Let h = -1.3 + u. What is the third smallest value in h, 2, -4\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 15*w**2 + 16*w + 15. Let u be v(-16). What is the common denominator of 103\/18 + 4\/(-2) and (-1*(-183)\/u)\/4?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of i + 0 + 0*i**3 + 1\/24*i**4 - i**2. Let k(z) be the first derivative of y(z). Let b(s) = -2*s**2. Determine b(k(u)).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 9*c - 27. What is r(-5)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 7*f - 1. Let m be j(-7). Let k be (-3)\/7*3\/(-9)*2. Which is the closest to m? (a) k (b) 5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.037704 rounded to 0 dps?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 651411*s**3 - 779868 wrt s?\nAnswer: 1954233*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8889404 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -4*h + 3*h - 4*n, 0 = -4*h + 5*n + 9 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 times -155.69?\nAnswer: -2491.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -664*y**3 + 759*y**2 - 15*y - 280069968?\nAnswer: -1992*y**2 + 1518*y - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 27*r. Suppose -3*c - 3 = 3*s, -c + 6 = -4*s - 8. What are the prime factors of g(c)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 798*q - 799*q + 2.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + f + 475. Let y be q(0). Is (-1)\/(-4) - y\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50152514 (base 6) to base 12\nAnswer: -58273a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -g**2\/3 - 38*g\/3 + 105 = 0.\nAnswer: -45, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -0 - 2. Suppose -4*y = -5*m - z, -3*y = -m - 7 - 2. Suppose -v = -y*c + 3*c + 2, -2*c + v = -7. What is the highest common divisor of 2 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-2)\/(-15) - (-240683)\/1515 and 87?\nAnswer: 4611","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (0 - (-3 - -4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 2*b - 56 = 90, -4*b - 181 = 5*f. Let w = f + 43. What is the lowest common multiple of w and 13?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3474*u + 3260. What is s(-1)?\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31399, 31345, 31315, 31321, 31375, 31489?\nAnswer: 31675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 1\/9 (b) 0.5 (c) -8\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fxfffffffffxfffffff. What is prob of sequence fxfx?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**3 + g**2 - 3*g - 9. Suppose 0 = -4*m - f + 2, 2*m + 3*m = -3*f + 6. Let p(y) = -y + 18553 + m*y**3 + y**3 - 18554. Calculate -b(i) + 3*p(i).\nAnswer: i**3 - i**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**5 + 258*g**4 + 482*g**3 - 241362*g**2 + 948620*g - 708000 = 0. What is g?\nAnswer: -118, -40, 1, 3, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 52\/3 of a week?\nAnswer: 2912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*2*(-24)\/(-324)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**2. Let t(p) be the first derivative of 40*p**3 + 164*p + 40. Let f(d) be the first derivative of t(d). Determine r(f(q)).\nAnswer: -115200*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20\/50 + (-306)\/15. Let h(l) = l**2 + 21*l + 34. Let c be h(a). Let i be 6\/(-12) + 15\/2. What is the highest common factor of i and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 545682039 a multiple of 3409?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -279, 1, 11, 10, -18 in decreasing order.\nAnswer: 11, 10, 2, 1, -18, -279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5958, 5685, 5222, 4563, 3702, 2633?\nAnswer: 1350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1067551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -1746.\nAnswer: -2\/873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + 36\/14)\/((-63)\/(-49)). Let w(y) be the first derivative of -1\/6*y**4 + 4\/3*y - v*y**3 + 3 + 1\/3*y**2. What is g in w(g) = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.73 + -1.9. Round b to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3170.\nAnswer: 2, 5, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z - 19*z = 816. Let d = z - -391. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4378327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*z + 4*d + 64008 = -27*z, -16004 = -z + 2*d. Round z to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 PM and 3:08 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.8788 - 120.0238. Let d = -0.145 - t. Let q = d - 117.000178. Round q to five decimal places.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12971837 is divided by 2891?\nAnswer: 2811","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278 + 86 = 32*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(104)*-3)\/(sqrt(128)*1)*6 + -2)**2.\nAnswer: -18*sqrt(13) + 1069\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -9*u + 3. Let q(a) = 10*a - 3. Let g = -6 - -2. Let t(f) = g*q(f) - 5*p(f). Is t(6) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwywwyywwyyywywwyyy. What is prob of picking 2 y and 1 w?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -9 + (-8 - -10) + 9.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172 - 72 = 10*m. Let a = -4 + -6. Let o be a*1*(-2 - -1). What is the greatest common factor of m and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1543 greater than -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1521*d**3 - 9124*d**2 - 13677*d + 18.\nAnswer: -(d + 3)**2*(1521*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -50, -1\/6, 1607\/3, 3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 2, c: 1, s: 1, h: 4, a: 7}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 597 is divided by 28\/(-8)*(2916\/21)\/(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -128 times -400423\nAnswer: 51254144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -1 (c) -55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-9)\/u*u*u**(-9))\/(u*((u**3*u)\/u)\/u)**43)**(24\/13) assuming u is positive.\nAnswer: u**(-3528\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -52*f - 95*f + 54*f - 173*f in the form w*f + d and give w.\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 5*t + 88. Let z(x) = -3*x**2 + 6. Determine z(y(u)).\nAnswer: -75*u**2 - 2640*u - 23226","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 33*x + 1. Let d(f) be the second derivative of 17*f**3\/3 + f**2\/2 + 4*f. Let p(t) = 2*d(t) - 3*m(t). What is the tens digit of p(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**2 - 7*k + 6. Let g(f) = 8*f - 4*f**2 + 2*f**2 - 2*f - 5. Let y = -116 - -109. Let c(m) = y*g(m) - 6*q(m). Determine c(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 10:27 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 41826489811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 5 = -15, 5*g + 15 + 8 = -5*n - 12 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + -1*(-3)\/3. Let y = 5 + t. Solve y + 7 = -5*k + 2*v, -3*v = -2*k + 7 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*a**5 - 4*a**3 - a**2 - 69?\nAnswer: -840*a**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12575*l - 12575*l + 12*l**2.\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101011000110 - 10011100?\nAnswer: 101000101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13008 + -2.36?\nAnswer: -2.22992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5544250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*h - 6 = -27*h - 3*g, 5*h + 2*g - 4 = 0. Let r = 68 + -131. Are h and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 48*s - 24. Suppose -2751*w = -2735*w + 211 + 173. Let l(y) = 1. Calculate w*l(j) - p(j).\nAnswer: -48*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/6, 0.4, -2, -1\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -1546*t**3 + 771*t**3 + 774*t**3 - 5*t + 7*t**2 + 6*t**2 - 8 - 6*t**2. Calculate a(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2068 - -3.7932. Let y = -8 - -8. Suppose y = g + 2*g - 4*j + 21, 0 = g + 4*j - 9. What is the third biggest value in g, -17, b?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vi when two letters picked without replacement from {i: 4, v: 1, j: 4, y: 1, x: 5}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -268*z**2 + 341*z. Let t(m) = 5*m + 29. Calculate i(t(q)).\nAnswer: -6700*q**2 - 76015*q - 215499","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -331*k. Let i(l) = -10*l + l**2 + 64*l - 36*l - 18*l. What is p(i(q))?\nAnswer: -331*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 i when two letters picked without replacement from {i: 5, k: 1, z: 1, j: 1, p: 1}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/7 in -0.3, -4\/5, -2, -85, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(2) - sqrt(8)) - (2*sqrt(25))\/sqrt(5).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 8 + 20*j + 32*j.\nAnswer: 52*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31580204 is divided by 22146.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -60, -96, -136, -180, -228, -280?\nAnswer: -336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 301039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-201)\/(-1) + -3 + 3. What is the common denominator of l\/(-66)*1 + 3 and -85*((-2)\/28 + 0)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -345, 72, -7, 4, 0, -4 in descending order.\nAnswer: 72, 4, 0, -4, -7, -345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5850411 grams to nanograms.\nAnswer: 585041100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.04 + 3.96. Let p = u + -2. Let h = p + 0. Which is greater: -2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 811, 5, 6, 1, -19 in descending order.\nAnswer: 811, 6, 5, 1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -472 + 489. Solve 0 = 10*m + 67 - g for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**2*n**3*q + 6*f**2*n*q + 4*f**2*q - 15*f*n**3*q - 3*n**3*q wrt n.\nAnswer: 6*f**2*n*q - 90*f*n*q - 18*n*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/4))**(-12)\/((s*s\/((s**(-2\/9)*s*s*s)\/s))\/s*s*s**3\/s*s))\/(((s**(-3\/7)\/s*s*s)\/s)\/(s*s**(-3\/4))*(s**(2\/5))**(-32)) assuming s is positive.\nAnswer: s**(9143\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18\/12 - (-9)\/6. Suppose -o - w*a = 2*a + 23, 2*o = -5*a - 21. Suppose -2*j + z + 14 = -o*z, -4*z - 14 = 2*j. Which is bigger: j or -4\/13?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*b**2 - 10*b**2 - 22*b**2 - b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 0*t - 5*t**2 + 0*t**2 - 3*t + t**2 + t**3 + 6. Suppose 2*h + 0 = 8. What is x(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -198*-21\nAnswer: 4158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -179*x + 174*x + 5*z + 10, 10 = 5*z. Let d(a) = -a**3 - 5*a**2 + 5*a + 5. Let n(u) = -u**3 - 4*u**2 + 4*u + 4. Give x*d(i) - 5*n(i).\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 10*i - 7. Let l be n(-9). Suppose -l*g - b = -g - 1, 0 = 5*g - 5*b - 55. Suppose 5*q - 80 = x - g*x, -66 = -3*q + 3*x. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4085 and 645.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 2*t + 23. Let x(w) be the third derivative of 0*w**4 - 3*w**t + 0*w**3 + 0 + 0*w + 1\/15*w**5. Let u(q) = q**2. What is x(u(n))?\nAnswer: 4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 29 (base 15) to base 7\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*q - 2*q - q + 2*q as y + g*q and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -4*n + 22. Let j be o(2). Let x(a) = 2*a. Let v be x(-7). Is 14 a factor of 6\/j + (-974)\/v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of -z**7\/210 + z**5\/20 - z**4\/12 + 8*z**2. Factor l(c).\nAnswer: -c*(c - 1)**2*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (844 + -16)*3\/(-18)*-4. Let m be f\/216 - 4\/(-9). Solve 0 = 2*o - 4*u, o - 4*u - 1 = m for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence khbt when four letters picked without replacement from kghbthtp?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 25, 39*p - 35*p = 4*k + 36. Sort p, -4, -2227 in descending order.\nAnswer: p, -4, -2227","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1345*y - 1387*y + 4207*y + 1173 = 1406*y for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - -280)\/(3\/2). Suppose -407 = -5*l + s. Is 2 a factor of (-4)\/34 - (-728)\/l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 15 - 0. Let x = 6 + g. Solve -5*h - x = -5*p - 2*h, -4*p - 2*h - 2 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(2\/13))**(-28)\/(k**1)**(3\/28) assuming k is positive.\nAnswer: k**(-8663\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**3 + 0*f + 0*f + 9*f**3.\nAnswer: 10*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 220*k*p**2*y - 549747*k*p**2 - k*p*y - 27240378*k*y - 2*p*y - y wrt p?\nAnswer: 440*k*y - 1099494*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11010010 (base 2) to base 9.\nAnswer: -253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -704, -1512, -2418, -3422?\n\"Answer: -49*p**2 - 661*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*x - 3. Suppose 5*o - 3*f + 12 = 3*o, 0 = x*o - f + 4. Solve -5*h - 4*t + 2*t = 12, 4*h + t + 9 = o for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7058.9987196 - 7059. Round f to four dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.14, -0.1, 3, 6, 1.\nAnswer: -0.14, -0.1, 1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 195 - (0 + (1 - 4)). What is the highest common divisor of 18 and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -8*y**2. Let u(o) = -2*o + 36375. Calculate u(z(w)).\nAnswer: 16*w**2 + 36375","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -999*c**2 + 1996*c**2 - 1041*c**2.\nAnswer: -44*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3762 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139813225*w + 139813225*w + 2*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a week in minutes?\nAnswer: 3024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 19 - 65. Let h be 476\/49 + 6\/y. Let m be 24\/(-16)*h\/(-3). Solve 2*t - 29 = -m*d, -5*t + 6*d - 5 = 3*d for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -521, -1054, -1587, -2120, -2653, -3186?\n\"Answer: -533*d + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81127*y + 80209*y = -88128 for y.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 2*a, 3*a + 15 = 2*x + x. Let w(z) be the third derivative of 0*z - 1\/30*z**5 + 0 - 4*z**x + 1\/24*z**4 + 0*z**3. Give w(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (5 + (sqrt(243)*4 + -4)*-2 + -4)*3)**2 + -1.\nAnswer: -12960*sqrt(3) + 140867","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00782216 rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 3*c**2 + 2. Let v = 8 - 5. Let j be g(v). Suppose -8 = -j*q - 2*z, -2*z = -q - 0 - 2. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 10:36 AM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 + 2)*(-3 + 2*h + 3 + (0*h - 6*h + 4*h)*(1 - 2 - 1)).\nAnswer: 30*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = n - 5*x + 22, 2*x - 8 = 0. Let y(b) = b - 1 + n. Let v(f) be the second derivative of -f**3\/3 + 15*f + 2. Calculate y(v(a)).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 580.6476 millilitres?\nAnswer: 0.5806476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**3\/7 - 6*x**2\/7 - 3*x - 12\/7 = 0. What is x?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -105, -1336.\nAnswer: -1336, -105, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d0 - bec?\nAnswer: -ccc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 + -152. Let s be 3\/(-4) + (-1)\/(d\/123). What is the smallest value in -0.3, -60, s?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 214 + 44?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -280*s**5 + 416*s - 1 wrt s?\nAnswer: -5600*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -4*q + 25693, -5*a - 8170 = -q - 1778. List the prime factors of q.\nAnswer: 3, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -14 + -44 + 2\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 695 + -688. Suppose -4*t = 4*z + 32, -2*t + 4*z - 3*z = 16. Let r = 1 - t. What is the least common multiple of o and r?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 103 + 21. Let u = i - -389. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(-3)\/6*2. Let b be (-1 - 2)\/(y + 0). Suppose -4*s - 8 - 8 = 4*h, -4*h + 4*s = 24. What is the biggest value in 3, b, h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/413134656 and -157\/375576960.\nAnswer: 4131346560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m + 0*m - 2*m + (4 + 2 - 7)*(-m + 2*m - 2*m) + 203*m + 149*m - 431*m + 6*m - 5*m - 2 + 0*m as r + a*m and give a.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*v + 7566 = 270 for v.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 36*q**2 + 39*q**2 + 39*q - 7 - 28*q. Let m be -6*(-4)\/(-8) - 3. Is b(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.0377*-2.\nAnswer: 8.0754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1470116614 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 39206 < 39210?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-4))\/(23\/(-6302)). Let m = 415 - j. Solve r - 2*f + 5 = 0, 5*f - 27 - 18 = -m*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 5 = -5*q, 48*p + 26 = -5*q + 296 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*(n*n**(-1\/7))\/n)\/n**(-4))\/((n\/n**(-1))\/n)**(5\/7))\/(n*n\/(n**(-8)\/n*n)*n*n\/(n**(1\/2)*n))**(-3\/7) assuming n is positive.\nAnswer: n**(121\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -3 (b) -0.03 (c) 15\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 m when three letters picked without replacement from {q: 1, m: 5, h: 4, b: 4, c: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -f**3 - 1\/10*f**5 + 0*f**2 - 19 - 29*f - 2\/3*f**4. Let k(j) be the first derivative of s(j). Factor k(u).\nAnswer: -2*u*(u + 1)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17862 - -17745. Are -91 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 56335627?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -37*h**2 + 2*h - 2. Let f(k) = -24 - 889*k**2 - 26 + 49*k - 51 - 21 + 73. Determine 2*f(u) - 49*r(u).\nAnswer: 35*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 807, 662, 289, -426, -1597?\n\"Answer: -19*i**3 - 12*i + 838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 587783 and 336?\nAnswer: 28213584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 34680.27 millilitres in litres?\nAnswer: 34.68027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wuuw when four letters picked without replacement from dwuusuusuujuuuusud.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3287\/156 + 110\/39. What is the common denominator of 29\/20 and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -2\/27 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 233232*b**4*d**2 + b**3*d**2*g**2 - 269*b**2*d**2 + 2*b**2*d*g**2 + 2*b**2*d - b**2*g**2 - 20*b*g**2 - 2*b*g wrt b.\nAnswer: 5597568*b*d**2 + 6*d**2*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (14\/(-3))\/(2\/(-3)) + -4. Let y be ((3 - 2) + -5)\/(-1). Let l be ((-2)\/3)\/(y\/(-18)). Solve -4*b - 3*m = 12, -l*b + 4*m - h = -2*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f - 11. Let q(a) = a**2 - a + 1. Let y(n) = n**2 + n - 2. Let i(x) = 2*q(x) + y(x). Let j be i(7). Suppose -136*h = -j*h + 28. Give k(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/816 and 35\/1632?\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3028*o - 27*o**3 + 3028*o - 84*o**3.\nAnswer: -111*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1b + 7ec?\nAnswer: 7d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.3060414 rounded to two decimal places?\nAnswer: -5.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1739301*-9.\nAnswer: -15653709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -3*x, 112129*x + 14 = 2*d + 112130*x for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 7*a - 21. Let u(t) = 10*t - 31. Let g(x) = 7*c(x) - 5*u(x). Differentiate g(q) with respect to q.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-10 - (-12 - 2) - -11).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ez when two letters picked without replacement from eehzzzzedz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (247 - 247 + 90*n)*(5 - 3 - 1)*(5*n - 2*n - n)*(-6 + 3 + 5).\nAnswer: 360*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 4 + 7)*(-21*d**5 - 9*d**5 - 30*d**5 - 2*d**5).\nAnswer: 248*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 628 = -u + 1657, 5*u - r = 5193. Suppose 5*q - 4*f = 3420 - u, 4*q - 1904 = 4*f. Let k = q + -74. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 109480886 and 28.\nAnswer: 1532732404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*o**4 + 788*o**3 - 9252*o**2 - 7592*o + 2464 = 0. Calculate o.\nAnswer: -1, 1\/4, 22, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4773*k + 150388 = -1105*k for k.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 - 3\/9*3. Suppose -2*f = 3*q + 9, -4*f - 7 + u = q. Sort 3, 1, f in ascending order.\nAnswer: f, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/249736943 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3938 rounded to one decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3880\/(-100) - (-7 + (-576)\/(-80))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 1 = 2*t - 2*i, -16 = -4*t - 3*i. Let j = 64 + t. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -7*(-102)\/42 + -12. What is the nearest to 0.1 in -5\/6, -2\/7, u, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20109230 to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 957.6361l in millilitres?\nAnswer: 957636.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 6:44 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {p: 2, x: 6}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 9:40 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-1\/4))**(-7))**(-3\/14))**12 assuming m is positive.\nAnswer: m**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 10*h**2 + 11*h - 16. Let c be v(-7). Suppose 35*x = 38*x - c. Solve 2*d**2 - 11 + x*d - 7*d**2 + 2*d**2 - 16 = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 4:13 AM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9859075.999877 + 9859071. Let w = u + 5. What is w rounded to 5 dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -226 in 1\/2, -0.4, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1750 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/15)\/u**(-5)*(u**(-1)*u)**(-2\/45))**(-1\/2) assuming u is positive.\nAnswer: u**(-77\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 109921.73538 + -21.\nAnswer: 109900.73538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13046443 is divided by 939?\nAnswer: 916","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 672 divided by -243.\nAnswer: -224\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2, 12, 24, 34?\n\"Answer: -s**2 + 17*s - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 12, 5, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = s + 4 - 11, -4*s + 2*u - 2 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-18) - (-283)\/((-402426)\/90692)\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 3:01 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*o**3 + 604928*o**2 + 1613176*o + 806592 = 0. Calculate o.\nAnswer: -2, -2\/3, 100824","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 4:33 PM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, m: 6, b: 2}. What is prob of picking 2 m?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 74 + -47. Suppose -6 = -2*x + q + 12, -4*q - 36 = -4*x. What is the greatest common divisor of f and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252 = -0*q + 2*q - l, -4*q = 3*l - 494. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -143301095 divided by -7?\nAnswer: 20471585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14187031.\nAnswer: 163, 87037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u - 5*u = -23*u. Let c(x) = x**2 - 1. Let n be c(5). Solve n = 4*j - 2*k, -2*j - j + 3*k + 21 = u for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 3*m = -31, -8*a + 11*a - m = 20. Let t(p) = 2*p - 5. What is t(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -u**4\/4 - u**2 - u + 4. Let x be o(-1). Solve -10 = 3*r + x*r, -5*i - 24 = 2*r for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 4*m = 32, -5*y - 4 = -2*m + 10 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 239 - 697 - 3*u**2 + 228 + 230. Let o(l) = -6*l - 460. Determine g(o(x)).\nAnswer: -108*x**2 - 16560*x - 634800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -7. Suppose 0 = 2*f - 7*f + 25. Suppose -4*j - s = -4*s + 32, -f*j - 4*s = 9. Sort r, j, 5 in ascending order.\nAnswer: j, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15*m**3 - 20 + 6*m**3 - 5*m**3 + 29*m**3 wrt m?\nAnswer: 135*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-8055)\/(-18)*(-32)\/(-5).\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -88960*((-52)\/(-13) + 46). What is o rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 32178 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6029 + 144665\/24. Calculate the common denominator of p and 97\/184.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, f: 4, v: 4}. What is prob of sequence fvvf?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 88\/31 or 1?\nAnswer: 88\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -2041?\nAnswer: -2041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 39172540?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ibb when three letters picked without replacement from {i: 4, n: 1, b: 2}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 14) to base 10.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10323 + -1323220?\nAnswer: -2000203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*m + 15 = -19*m - 4*x, 4*x = -4*m + 120. What is the remainder when 497 is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55762 is divided by 754?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 598257925 to the nearest integer?\nAnswer: 843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*b = 48*b + 18. Suppose -5*t - 20 = 5*n, 3*t - 7*t - 15 = b*n. Let s(r) = r**2 + r - 2. Give s(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5838232 divided by 1459558\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 21 + 20 + -39 + 2 + -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 5:58 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 11 = 2*m - 19, -2*b = 0. Factor 48*c**2 + 5*c + c**m - 11*c**3 + 17*c**2 - 30*c - 30*c**2.\nAnswer: c*(c - 5)**2*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/9)\/(o**3*o)*o**12\/o**(8\/3))**(-1\/82) assuming o is positive.\nAnswer: o**(-49\/738)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(2800) + sqrt(2800))*-5 - -2*(0 + sqrt(2800)))**2 + (sqrt(2800)*1*-3)**2 + (sqrt(2800) + sqrt(2800) + 0 + -3)**2)*4.\nAnswer: -7360*sqrt(7) + 862536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20683531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 9:57 AM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c + 2*c - 2*c)*(-3*c + 3*c - 2*c) + (-c + 3*c - c)*(-c - c + 4*c) - 158*c**2 + 171*c**2 - 497*c**2 to the form m + s*c**2 + g*c and give s.\nAnswer: -478","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17*a**3 - 174*a**2 - 147*a + 44.\nAnswer: (a - 11)*(a + 1)*(17*a - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of 0 + 3\/2*y**2 + 1\/12*y**4 - 1\/20*y**5 + 4*y - 1\/3*y**3. Suppose 12*b - 7*b - 10 = 0. What is i(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-1*(-2*sqrt(700)*-6 + sqrt(700) + 2)*6.\nAnswer: 12 + 780*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 124, 142, 154, 160, 160, 154, 142?\n\"Answer: -3*l**2 + 27*l + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(136) - -3*sqrt(136)))\/(sqrt(8)*-1*4))**2 + -2 + 0.\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 + 2 - 2)*(-48 - 39*m**2 + 48 - 2*m**2 + 0*m + 0*m - 5*m + m**2 + 5*m + (2*m**2 - 2*m + 2*m)*(0 + 0 + 2)) to the form g*m**2 + p + j*m and give g.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/40 and -99\/67184?\nAnswer: 335920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 20*s**3 - 8*s**2 - 8*s + 3. Let v = -33 - -23. Let t be v\/3 - (-12)\/36. Let j(a) = 7*a**3 - 3*a**2 - 3*a + 1. Calculate t*m(z) + 8*j(z).\nAnswer: -4*z**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r**2 - 2*r - 3. Let c be o(-1). Let i(v) = -5 + 5*v + 11 - 3 - v**c. Suppose 3*f - f = 8. Calculate i(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3144 + -3140. Which is the nearest to -12? (a) m (b) 2\/9 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 - -1 - (-4 - 0). Let u be (-9)\/(-4) - 4\/16. Suppose 4*g - 4 = a*g, 0 = u*s + g - 36. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h - 2. Let g be ((-3)\/(-9))\/(7\/21). What is z(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3\/((-126)\/12) - 12*(-1839)\/14 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 47*b**2 + 91*b - 39. Calculate v(-49).\nAnswer: 304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qsqqssssssddqqqs. What is prob of picking 1 d and 2 s?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(7) + -1)*3 - ((sqrt(448) - (-1 + sqrt(448))**2) + sqrt(7) + sqrt(567) + sqrt(567)*2).\nAnswer: -55*sqrt(7) + 452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1083?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of v**7\/2100 - v**6\/450 + 9*v**3\/2 - v**2. Let c(q) be the first derivative of b(q). Solve c(j) = 0 for j.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1406 - 11962*h**3 - 312*h - 2*h**4 + 3031*h**3 + 312*h wrt h?\nAnswer: -8*h**3 - 26793*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/2)\/((10\/210)\/(10\/35))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oromttjjjppttjtj. What is prob of picking 1 p, 2 o, and 1 m?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2164, 2163, 2152, 2125, 2076, 1999, 1888, 1737?\n\"Answer: -g**3 + g**2 + 3*g + 2161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g. Suppose -2*b + 0 + 6 = 0. Let p(w) = -4*w + 2*w + b*w + w. What is p(m(j))?\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6*6\/(-12) - 0 - -374. Suppose -o + 2635 = 2*g - h, -5*h = -20. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/(-12)*(2288\/12)\/(-11). Solve -j*x = 19 + 46 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + n = 1444, 0 = r - 0*r + 2*n + 370. Let z = -217 - r. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25154?\nAnswer: 2, 12577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -9*x**4 + 100*x**3 + 39*x**2 - 113*x - 43. Let f(a) = 3*a**4 - 33*a**3 - 13*a**2 + 37*a + 14. Let g(s) = 4*b(s) + 13*f(s). Solve g(i) = 0 for i.\nAnswer: -1, -1\/3, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2*i = -6*i - 48, 3*n + i = 18. Solve 0 = -6*q + 7 - 1, -5*c - 2*q = n for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 410 * 2.\nAnswer: 820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -109039341 to the nearest 100000.\nAnswer: -109000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 4*r = 52, 28*v + 68 = 33*v + 4*r. Let h(s) = 10*s - 9. Calculate the remainder when h(7) is divided by v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 329*n**4 - 39*n**4 + 13*n**4 + 354 with respect to n.\nAnswer: 1212*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*y + 154 + 5670. Let c = y - 420. Is 11 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13589800 rounded to the nearest 100000?\nAnswer: -13600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**7)**9\/(j**(-4\/5))**40 assuming j is positive.\nAnswer: j**113","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -347 - 73 = -5*l. Let j(s) = 67*s - 3763. Let k be j(57). Calculate the greatest common factor of l and k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 268554 and 146484.\nAnswer: 1611324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o**3 + 24*o + 40. Let a be (-3 + -5)\/(-2)*1\/(-2). Calculate the smallest common multiple of x(a) and 7\/2 - 3\/(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 900091, 1800316, 2700541, 3600766?\nAnswer: 4500991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6770568 is divided by 2256847?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -18b10 - 11?\nAnswer: -18b21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**13)**29\/(f*f**(2\/11)*f*f)**(-47) assuming f is positive.\nAnswer: f**(5792\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**16*c)\/c*c**20)**(-2\/7) assuming c is positive.\nAnswer: c**(-72\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9968348 + 9968350.9999995. Let l = d + -3. What is l rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3597 or 24\/95?\nAnswer: 24\/95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13793 and -0.025.\nAnswer: 344.825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 19 divided by 19\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -f + 6785, 27128 = 3*f + f - 4*w. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a + 1. Let m(b) = -b**2 + 7*b - 4. Let i(g) = -6*h(g) - m(g). Let s(v) = v**2 - 3*v + 4. Let u be s(3). Calculate i(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 8*b = -91, -393*o + 100 = -388*o + 3*b. What is the remainder when 247 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1318.2 - -1318. Let c = 3 + -2.7. What is the third biggest value in c, a, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 5*u + 105, 14*p - 5*p + 145 = 2*u for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227326802 is divided by 7621.\nAnswer: 7614","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j*j*j\/((j*j*j**6*j)\/j)*j)*j**(1\/6)\/j)\/((j*(j**(-2\/7)\/j)\/j)\/j)**(7\/10))**(-42) assuming j is positive.\nAnswer: j**(-1421\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -906*n + 2. Let b be d(-2). Suppose -334 = 2*i + b. Let o be 15\/(-10) - i\/(-4). What is o rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 15*i**2 + i - 1. Let s be g(1). Let r be 3 + 7 + -4 + 1. Let y be (-2 - (-8)\/r)*(-28)\/6. Solve y*q = -q - s for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - 12*o - 2. Calculate w(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/5 + 82*r\/5 + 312\/5.\nAnswer: (r + 4)*(r + 78)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.4 + 0.6. Let x = -110 - -120.4. Let f = -7.4 + x. Sort a, 4\/5, f in descending order.\nAnswer: a, f, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*p - 314 = -19*p - 41 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 0 + 20 + -28 + 21\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -3b0?\nAnswer: 3b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000034454 to six dps.\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 104353379?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 4 + 32. Calculate the smallest common multiple of 8 and p.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 9*q**2 - 12*q - 4. Let v be h(-10). Calculate the highest common divisor of 32 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-2)\/12)\/(1\/(-9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -64.24 - 0.3837253?\nAnswer: -64.6237253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of u**4\/24 + 3*u**3\/2 + 8*u**2. Let v be q(-7). Solve v*x - 8 = -2*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 2*h. Differentiate -z**2 + h*z**2 + 5 - 4*z**2 - 3 wrt z.\nAnswer: -10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 11:19 PM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1798, 1817, 1848, 1891, 1946?\n\"Answer: 6*j**2 + j + 1791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of 0*v**5 + 5*v**2 + 0 + 1\/8*v**4 + 2\/105*v**7 + 0*v + 0*v**3 + 0*v**6. Find the second derivative of b(x) wrt x.\nAnswer: 48*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 427 and 10500113?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 12*b**3 + 18*b**2 - 4. Let m(p) = -49*p**3 - 73*p**2 + p + 16. Let w(z) = -4*m(z) - 18*y(z). Find j such that w(j) = 0.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 1981, -1\/3, -0.5, -2\/9, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (41209\/(-87))\/(-29) + (-148)\/102.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ptbp. Give prob of picking 1 p and 1 t.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -23319, -23317, -23315, -23313?\n\"Answer: 2*c - 23321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 3*p = 34 - 11, -155*t = -3*p - 332 + 1089 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 522873 is divided by 320.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -0.4 (c) 42\/13 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.89209 to two decimal places.\nAnswer: -2.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {n: 3, d: 8, w: 4, p: 2}?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0781 - 12.0781. What is the closest to x in -4, 0.3, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -0*i + m - 41, 0 = i + m + 7. Let g be -393*2\/i*4. What is the hundreds digit of 4\/6*(-1 + g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5b74 (base 14) to base 15.\nAnswer: -4b03","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104753 is divided by 47?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*r - 355 + 124 = 0 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, q: 8, c: 1, j: 2, a: 2}. Give prob of sequence cj.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-7)\/(k*k**(-2\/11)\/k*k)*(k*(((k**0*k)\/k)\/k)\/k)\/((k\/k**8)\/k) assuming k is positive.\nAnswer: k**(-9\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (77\/22)\/(-2*1\/(-4)). Suppose m + 47 = 2*i. Calculate the remainder when 79 is divided by i.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34 - -49. Let k be 2\/(-18)*-3*h. Let w(b) = -3*b + 3. Let u(v) = v. Let n(x) = 3*x - 1. Let z(c) = -2*n(c) + 4*u(c). Give k*z(g) - 3*w(g).\nAnswer: -g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -2*c + 26, -4*v = v + 20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 261 and 13839583.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + 5 - -3) + (1 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*l - 1717913 = -97*l + 3039007. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18791766 rounded to 3 dps?\nAnswer: -0.188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*h = -154*h + 38*h - 14400 for h.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 779906873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 0, -5*f - 345 + 120 = -5*a. Suppose -15*z + 12*z + a = 0. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22)\/(-11))\/(((-10)\/(-35))\/1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - 20 - -12) + 26 + -31.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23891447*a*d**3*x**2 + 2*a*d*x**2 + 25*a*d*x + 1701*a*d + 37*a*x + a + d**3*x - 5*d**3 wrt x.\nAnswer: 47782894*a*d**3 + 4*a*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1\/169, 97, 663 in descending order.\nAnswer: 663, 97, 4, -1\/169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17239504?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -8*v + 260. Does 4 divide o(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254\/((-21)\/(252\/(-24)))?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*g + 74 = -j, -1289*j + 347 = -3*g - 1294*j + 133 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b*k**3*t + 1223*b*k**3 + 5501*b*k**2*t + 10*b*k wrt t.\nAnswer: -2*b*k**3 + 5501*b*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 5346024?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 6 = -4*y. Is (3188\/(-12))\/((-2)\/y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 95\/2 in -2.77, -1, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002111012122020 - 2000?\nAnswer: 1002111012120020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 6 = 3*j, -2*s - 6*j + 45 = -j. Suppose a + s = 50. Let b = a - -486. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -86113656 - -86123269.3786. Let l = x + -9612. Let g = -1.39 + l. Round g to three dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31361*-0.5\nAnswer: 15680.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2078001 divided by -9?\nAnswer: 230889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -109303, -218609, -327915, -437221, -546527, -655833?\n\"Answer: -109306*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**5\/5 + 2486770*c**4 + 38650156455622*c**3\/5 - 37301552*c**2\/5 - 23190098846915*c - 15460062582250 = 0.\nAnswer: -6216925, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*u**2 + 0*u**2 + 2*u**2 - 52*u + 23*u**5 - 21*u**5 wrt u?\nAnswer: 40*u**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**17)**17*x\/(x\/(x\/x**(1\/13))*x)*x**(2\/69) assuming x is positive.\nAnswer: x**(259190\/897)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (4 - -12) - 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - x. Let h be a(1). Suppose 2*v + v - 12 = h. What is the second derivative of -2*i**4 - 2*i**v - 3*i - 11*i + 2*i wrt i?\nAnswer: -48*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.926745 rounded to three decimal places?\nAnswer: 0.927","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -23*p + 1627. Give g(70).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 6*c**2 - 5*c + 4. Is 8 a factor of p(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -536007.3 to the nearest ten thousand.\nAnswer: -540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*x - 5*z, z - 3*z = 3*x - 26. Let g(m) = -m**2 - 18*m - 7. Let r be g(-16). Calculate the highest common factor of r and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -677, -2567, -5681, -10025, -15605, -22427, -30497, -39821?\n\"Answer: -x**3 - 606*x**2 - 65*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 320 is divided by 108?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7103\/5094 - 147217991\/1034082. Let a = u - -1006\/7. Is a less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 159*j - 33 = -158*j, 2*j - 3*j - 5 = 0 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**1)**(-14))**(4\/11) assuming s is positive.\nAnswer: s**(-56\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2005 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*g - 1. Let d = 27 + -3. Calculate the highest common factor of g and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - -3) + 66\/(-15) + 3. Let q = -0.27 - -0.3. Which is the second smallest value? (a) -0.1 (b) i (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/((-4)\/70*(8 - 3)). Let d be m\/3 - 4\/12. Differentiate -2*x - 17 + 4*x**d + 3*x**2 + 2*x with respect to x.\nAnswer: 14*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 4*l**3 + 6*l**2 + 3*l - 3. Let f(s) = 11*s**3 + 17*s**2 + 8*s - 9. Give 3*f(j) - 8*u(j).\nAnswer: j**3 + 3*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -p**5*q**3 + 5*p**2*q**3 + 51*p**2 + 2*p*q**3 - 211*p*q**2 - 19*p wrt p.\nAnswer: -20*p**3*q**3 + 10*q**3 + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -8 - 4 - 6 + 13 - 72*d. Is q(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -5*f**3 + 12*f - 9. Let k = 39 + -36. Suppose 30 = -4*b + k*o, -3*o - 51 = 6*b - b. Let p(m) = -m**3 + 3*m - 2. Give b*p(u) + 2*n(u).\nAnswer: -u**3 - 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1755433?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 12 = -0. Put -19, 0, n in descending order.\nAnswer: 0, n, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7759986?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 528.06 and 0.5.\nAnswer: 528.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (78\/60)\/(-13)*(-10)\/(-8)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 3*n = 12. Suppose 0*q + 3*q = 4*w - 104, n*w = 2*q + 77. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/200 and 43\/1835?\nAnswer: 73400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 5*u - 19 = 0, 13*u - 17*u = -2*g + 24. Solve g*i - 6 = -8 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20783694?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1155845 by 28.\nAnswer: -1155845\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3514397555 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 3, -4, 0.\nAnswer: -5, -4, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -57*x - 219. Suppose -182*t + 180*t = 10. Calculate the least common multiple of 66 and k(t).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5214 and 207138?\nAnswer: 2278518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7638 = 31*k - 7607 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/(-6) + (-8 - (-30)\/5). Let v = -109\/84 + x. Which is smaller: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -1\/10, 41, 2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that i**4\/4 - 1655*i**3 + 6080067*i**2\/2 + 206085033*i - 13686687826623\/4 = 0.\nAnswer: -877, 2499","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 392935.41 seconds?\nAnswer: 109.148725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -560\/5843 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -330420, -331661, -332902, -334143, -335384?\nAnswer: -336625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -519*h - 7743. Calculate u(-15).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + d + 19 = 3*q, -2*q - 14 = -2*d. Let a be -17*(-2 + 2 + 1). Let n be a\/(-5) - (-36)\/(-90). Solve l = -2*i + d, -14 = -n*i - l - 2 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -593417 divided by -11?\nAnswer: 53947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of c**3\/3 + c**2 + 3*c. Let g be (8\/6)\/((-2)\/(-3)). Calculate h(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of n**3*u*y**3 + 4*n**3*u + 138*n**2*u*y**2 - 164*n*y**3 + 9*u*y**3 wrt y?\nAnswer: 6*n**3*u - 984*n + 54*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 41376 and 336.\nAnswer: 289632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 50 = -0*l. Let p = l - -12. Solve 3*b + p + 7 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 - (-4 + -7 + 8) - 4 - 1?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1381 + 162?\nAnswer: 1553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.069 and -0.1999.\nAnswer: -0.0137931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 6:13 PM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a century in months?\nAnswer: 18600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17771 + 17813. Does p = 9\/40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5975740 + 5975740 + w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 b when two letters picked without replacement from {b: 5, u: 2}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2234 - 230102?\nAnswer: -222313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -10.1. Which is the third biggest value? (a) y (b) 2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -346, -341, -336, -331?\nAnswer: -326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2 (b) -4 (c) 80 (d) -4044\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -4*a**2 + 3*a + 3. Let g(q) = -3*q**2 + 2*q + 2. Let x be (-1)\/(3 + (-38)\/12). Let c = -10 + x. Let h = c + 2. Calculate h*m(z) + 3*g(z).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 + 9. Let u be x\/7*1 - (-10)\/2. Suppose 508 = u*d - 1112. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 12*f**2 - 13*f + 11. Let k be g(-11). Let u(x) = k - 18 - 15 - 3*x. Let l(t) = 5*t**2. Calculate l(u(m)).\nAnswer: 45*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-2)*3\/(-3)*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h + 6. Let q(v) = v - 5. Let k(b) = b**2 - 5*b - 11. Let a be k(6). What is a*j(p) - 6*q(p)?\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/2 + 21\/6. Let d = -5 - -3. Let o = 68961 + -68957. Put d, y, -4, o in ascending order.\nAnswer: -4, d, y, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 31788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1655 is divided by 676.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 79*k - 4. Let j(y) = y**3 + 42*y**2 + y + 77. Let p be j(-42). Is c(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z = -25*z + 748. Suppose 2*b = -4, 0 = -0*g + 2*g - 5*b - 40. Which is greater: g or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33620*l**5 + 100040*l**4 - 98405*l**3 + 31175*l**2 + 805*l + 5.\nAnswer: -5*(l - 1)**3*(82*l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (264 + 22*o - 264)*(0*o - o + 6*o)*(7 + 20 + 5) as d + t*o**2 + p*o and give t.\nAnswer: 3520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 171133660 or -5\/3?\nAnswer: 171133660","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - c**2 - 35246*c - 35426*c + 70672*c.\nAnswer: -c**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 4 + 7*t**2 + 2 + t**2 as i + l*t + o*t**2 and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t - 898 = 142. Let h(q) = 16*q**2 + 6*q + 4. Let r be h(-5). Let l = r + t. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -59*h**5 + 56*h**4 - 56*h**4 + 1 + 0*h + 0*h - h**5 + (-h**2 + 3*h**2 - 3*h**2)*(-4*h**3 + h**3 + 4*h**3) - h + h - h**5.\nAnswer: -62*h**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/117 + -220\/819. Let i = 4.38 + -0.38. What is the nearest to 2 in 4\/5, i, j?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1086*c**5 - 312*c**2 + 3051231*c wrt c.\nAnswer: 21720*c**3 - 624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 514 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5044 and 6473844.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4029019 divided by 6?\nAnswer: -4029019\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (16\/3)\/((-43)\/387). Let l be n*15\/(-6)*6\/15. Calculate the highest common factor of 32 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1720 and 44?\nAnswer: 18920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2\/4 - 14223*k\/4 - 14211.\nAnswer: -3*(k + 4)*(k + 4737)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1158 < 1152?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 395 = -23*d - 53, 2*n + 2*n + 90 = 5*d for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235273 is divided by 1853.\nAnswer: 1795","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0877608 to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63 and 12537.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 64.80275 centuries?\nAnswer: 648.0275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 + -149266b?\nAnswer: -1492676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -38*v**2 + 6*v**3 - 3*v + v**4 + 12 + 11*v**4 + 14*v**2 - 2*v**5 - v**5 = 0. What is v?\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*g - 25*g - 15 = 25*g. Put 4, -2, -5, 11, g in descending order.\nAnswer: 11, 4, -2, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*b = 3*b - 10, t - 3*b + 6 = 0. Suppose -5*f + 3*l + 103 = t, 2*f = 3*l + 30 + 4. Is 25 greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 plus -49502401381?\nAnswer: -49502401400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 16) in base 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zjl when three letters picked without replacement from lllllljllzlljjlll?\nAnswer: 13\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*h + 11*h - 99 = 957. Calculate the remainder when 402 is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1538 and 0?\nAnswer: 0.1538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7\/1*12\/(-42). Find the common denominator of 10*w\/(1 + -45) and (-1 - -2)*134\/(-18).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 p when two letters picked without replacement from {j: 1, p: 1, n: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 5*z - 6 = -26, q - z - 14 = 0. Suppose p - 21 = 6. Calculate the remainder when p is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33014?\nAnswer: 2, 17, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -24 divided by -509\nAnswer: 24\/509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -227384*c - 909538. Give s(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 plus 44339?\nAnswer: 44351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 - 22. Solve -4*z - 3*b = 2*b + 3, z - 4*b + 6 = i for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + 2*g + 27. Let a be d(7). Suppose 8*l - a - 6 = 0. Let n be -3 + (45\/l - 1\/(-4)). Solve -9 = p + 2*y, -y = -3*p - n - 5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 29? (a) -4 (b) 1\/9 (c) -23 (d) -2\/15 (e) 0 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-6))**(-7)\/((y**(3\/4)\/y)\/(y\/(((y*y**(2\/47)*y)\/y)\/y))) assuming y is positive.\nAnswer: y**(8123\/188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 0)*(-3 + 1 - 2*y - 1).\nAnswer: 10*y + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 375 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2232 and 37404.\nAnswer: 2319048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 49389139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 4*v - 1. Let x(q) = -11*q - 9. Let n(f) = 6*c(f) + 2*x(f). Let h(u) = -u + 8. Give -8*h(i) - 3*n(i).\nAnswer: 2*i + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t + 3. Determine x(-11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5527135 + 91480?\nAnswer: -5435655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)\/sqrt(54) + sqrt(384)*3)\/(sqrt(1200)*4*5*2))**2.\nAnswer: 1369\/720000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3494*l**2 - 653368*l - 1877. What is f(187)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1546537 + 306?\nAnswer: -1546231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 42*r - r**2 - 42*r - 2. Let a(b) be the third derivative of 0*b**3 + 1\/12*b**4 + 0 + 2*b + 2*b**2. What is m(a(c))?\nAnswer: -4*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21 by -1.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1100) + 0)**2 + 3 - (-5 + 4*(sqrt(11) + sqrt(11)*2)*1)**2.\nAnswer: -505 + 140*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 + -17. Solve 0 = -5*l + 2*j - 15, j - 13 + n = 3*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20504200741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41*y + 63 - 63)*(-16*y - 8*y**2 + 16*y).\nAnswer: 328*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18161875?\nAnswer: 5, 29059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 170295215 to the nearest integer?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(4*sqrt(4)) + (sqrt(1500) - (sqrt(1500)*-3 + sqrt(1500))))\/((sqrt(192) - 1*sqrt(192))*-1 - sqrt(192)*2*-5).\nAnswer: 121*sqrt(5)\/320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15194, 16697, 18198, 19697, 21194, 22689, 24182?\nAnswer: 25673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(360) - sqrt(360))\/sqrt(9))\/(1*sqrt(16)\/sqrt(2))*3.\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1070478613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2. Let j = 2009 - 1989. Let m(b) = b**2 + 3*b. Let r be m(3). Let d(n) = -r*n + 39*n - j*n. What is l(d(o))?\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 5:19 PM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/12 and 57\/37592?\nAnswer: 112776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -5*o**2 + o + 2. Let j be c(-1). Let a(i) = 3*i + 1. Calculate a(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 396318900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -2. Suppose -g = -s*g. Let y be g*(-3 - 5\/(-2)). Which is the second biggest value? (a) 0.3 (b) y (c) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*4\/108 - (-6)\/(-432)*69.\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - m**2 - m + 3. Let t(w) = 5*w**3 - 8*w**2 - 9*w + 4. Determine 8*q(j) - t(j).\nAnswer: -13*j**3 + j + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -51.35 - 0.65. Let t = c + 41. Let i = 1 - 3. Put t, i, -0.1 in ascending order.\nAnswer: t, i, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134479?\nAnswer: 89, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 x when three letters picked without replacement from {g: 4, u: 1, e: 3, k: 1, l: 2, x: 7}.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 21 = 3*v, -a = -4*v - 0 - 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d - -da96a?\nAnswer: da95b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*m**3 + 55*m**3 - 117*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 7*d**2 - 26*d - 14. Let s be y(-10). Find the common denominator of 4\/9 and 4\/6 - (428\/s + 8).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -23\/2, 6, -1\/22?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 705416 by 2.\nAnswer: 352708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -5. Let a be (-16)\/2*(1 + h). Suppose 2*m - 4 - a = 0. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 852 is divided by 172.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5784 - 1.3784. What is the smallest value in 4\/13, s, -3\/8?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6258 - -6260. Factor 2\/7*j + 15\/7*j**3 + 9\/7*j**q + 0 + 11\/7*j**4 + 3\/7*j**5.\nAnswer: j*(j + 1)**3*(3*j + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 9*f + 1. Let w(h) = 17*h - 1324. Give 2*a(l) - w(l).\nAnswer: l + 1326","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 5*l - 3. Let j = 18 + -17. Let x be v(j). Suppose 5 = 2*r + 3*r. Solve -x*t = -4*k + 16, 4*t + 19 = 2*k - r for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1539)*1 - sqrt(1539))*6*4 - (sqrt(171)*1*5 + sqrt(171))\/(2*(sqrt(81) + sqrt(9))))**2.\nAnswer: 171\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9 or 0.016?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1005 is divided by 493?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 0*q - 5 = 0, -5*v = 3*q + 472. Let p = -92 - v. Is p a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 11:03 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 41, 0, -1, -5, -2 in ascending order.\nAnswer: -14, -5, -2, -1, 0, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - g - g - 22, -3*u = 5*g - 41. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158874 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-15 - -19) + 3 - (-1 + 1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 AM and 2:33 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1410933 - -16.6683.\nAnswer: 1410949.6683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 819367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 11*s - 94. Let d be a(9). Suppose -5*k - 3 = 3*c, c + d = -2*k + 3. What is the remainder when 26 is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*n + 13*n - 10. What is the third derivative of -5*h - 2*h + 6*h**4 - 3*h**n + 7*h wrt h?\nAnswer: 144*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**31\/p**(-5\/2))\/((p**(4\/9)\/p)\/p**24) assuming p is positive.\nAnswer: p**(1045\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-32)\/(-8832)*3082.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1930 (base 12) to base 4\nAnswer: 233310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - 3\/((-3)\/5). Suppose 2*w + 5*m - 1 = p, -4*m - 8 = -w. Solve -5*i + 3*v = 10, -5 = -0*i - w*i + 5*v for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28777.2 rounded to the nearest 1000?\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 811734947 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -65 - -91. Let j = -23 + g. Let u(o) = 7*o**2 + 2*o - 8. What are the prime factors of u(j)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*r + 104 - 223 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -15 (b) -0.2 (c) -4 (d) -0.13 (e) 2\/25\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 308 = -6*f + 2*f + 3*f - 4*f, 392*w = -28224 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -7*o - 312. Let h be b(-45). Suppose -h*s + 26*m - 29*m + 72 = 0, -4*m = s - 39. Solve s*l = 23*l + 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-10)*v**(5\/3)*v)**(-32) assuming v is positive.\nAnswer: v**(704\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -u**5\/60 + 3*u**4\/4 - 23*u**3\/6 - 78*u**2. What is the tens digit of j(13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of i**7\/525 - 7*i**6\/450 + 2*i**5\/225 + i**4\/6 + i**3\/5 + 2*i**2. Determine m so that a(m) = 0.\nAnswer: -1, -1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3 + 3 = 0. Let z be (-2)\/((-1)\/(-1) - v). Find the first derivative of 3*d**3 + 1 - 3 - z wrt d.\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 540 - 537. Let m(t) be the first derivative of 4 + 0*t**w + 3\/4*t**4 + 0*t**2 + 4*t. Differentiate m(l) with respect to l.\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + l = 21549. Let k = l - 4817. What is k rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38 (base 13) to base 8\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -290*n**3 + 867*n**3 + 301 - 286*n**3 - 290*n**3 - n**4 to the form c*n + s + k*n**2 + b*n**3 + w*n**4 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14262 is divided by 71.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4\/3, 6\/5, 819.3, -363?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.28 times 145.6\nAnswer: 40.768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 15\/2*m**4 + 0*m + 0*m**2 - 21\/4*m**5 - 9\/4*m**3 = 0 for m.\nAnswer: -1, -3\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1904476*n*s**2 + 2*n - 408662*s**2 wrt n.\nAnswer: 1904476*s**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/3, 2, -0.1, 4\/1069, -3\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of h**4\/4 - 4*h**3\/3 - 3*h**2\/2 + 2*h + 4. Calculate w(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.81902l in millilitres?\nAnswer: 75819.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -1. Let r(h) = h**2 - h + 2. Let j(n) = -r(n) - 4*s(n). Let k be j(0). Is (3\/3)\/(k\/94) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 10:06 PM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1053 divided by 15\nAnswer: -351\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*sqrt(84)*4)\/(6*(sqrt(12) + sqrt(12)*2*2)).\nAnswer: 8*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - ((-3 - 1) + -1). Solve 5*b = 3*b - h for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 + 3)*((4 - 3 + 1)*(-g + 3 - 3) + 2*g - 2*g + 4*g) as f*g + u and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*h - 29*h = -88. Let u(i) = 11*i**2 + i - 2. Let x be u(2). What is the highest common factor of h and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of w**5\/30 - w**4\/6 - w**3\/2 + w**2. Let o = -59 + 65. Is 15 a factor of u(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 6*a = 2. Suppose -20 = 4*z + 5*r, -z = -a*z + 4*r + 16. Solve z = g - 5, 6*l - 3*g + 3 = 2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of 4*s**2 + 4*s + 4. Let a be w(3). Let f = -20 + a. Calculate the highest common factor of 16 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10923 or -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20010 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -173753 + 0.01.\nAnswer: -173752.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*u + 3*u - 7, 0 = t - 3*u + 2. Do 1 and t have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 13 = 2*r + 14, -4*r = -5*d + 45. Suppose -2*v = 2*z - 28, 0*z - 3*z - 5*v = -52. Factor p**3 - z + 3*p - 4*p + d.\nAnswer: p*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -7, -12, -13, -2\/3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l = 64*l - 100. Factor -8\/13*d + 0 + 2\/13*d**l.\nAnswer: 2*d*(d - 4)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(5*(-12)\/(-40)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -4704539*r. Let w(t) = 2*t**2. Give y(w(i)).\nAnswer: -9409078*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 p when two letters picked without replacement from {n: 3, j: 5, r: 2, b: 1, p: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 0.3259312.\nAnswer: -1.3037248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**7\/r**(-26))**34 assuming r is positive.\nAnswer: r**1122","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(252) + -1 - sqrt(252)))*-5 + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3630325, -3630328, -3630331?\n\"Answer: -3*x - 3630322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 215900 to the nearest 10000.\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -331132.36 + -90758.\nAnswer: -421890.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9ea (base 16) in base 12?\nAnswer: 1576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*p = 111*p - 6290. What is the remainder when p is divided by 105?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 2:33 AM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 7:10 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**2 - 11*k**2 + 6*k**2 + 5*k**2 - 2 as d*k + c + b*k**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04607 times -331.3?\nAnswer: 15.262991","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123212 (base 7) to base 5.\nAnswer: 1211440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1624974 - -2316529. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -305.862389 to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gtg when three letters picked without replacement from ggtttgdggdggdgggtddd?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*j**2 - 172*j**4 + 187*j**4 + j**2 wrt j?\nAnswer: 360*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrqrrhrrrab. Give prob of picking 1 b and 1 r.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -518, -3891, -12880, -30239, -58722?\nAnswer: -101083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w**5 - 3268*w**4 + 199848*w**3 - 3257216*w**2 + 1900544*w + 18481152 = 0 for w.\nAnswer: -2, 3, 32, 752","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 - 1) + 20 + -12. Let m be (z + -2)\/((-6)\/(-30)). Sort -5, m, 1.\nAnswer: -5, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258*f - 4761 - 1690 - 5636 = 1329 for f.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 29, 27, -3, -61, -147, -261, -403?\n\"Answer: -14*d**2 + 40*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -492 and -489 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -104.5 + 51.6. Let n = -56 - y. Let i = 3.1046 + n. Round i to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -4*g, g = 5*t + 29 - 4 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 263 - -451. Let r = t - 719. Put r, -3\/4, 0.19, 4 in descending order.\nAnswer: 4, 0.19, -3\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilogram in milligrams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 768271017 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 3*w + 27 - 9, -4*s = 4*w. Let q be -2 - 4\/(-8)*4. Suppose q = 3*u - u - 16. Solve s*v - u = 5*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50903, -50899, -50897, -50897, -50899, -50903, -50909?\nAnswer: -50917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-5)*g)\/g)**(-12)*g**(5\/7)\/g**(-2\/19) assuming g is positive.\nAnswer: g**(6493\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.395 rounded to one dp?\nAnswer: 9.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((54\/(-21))\/(-3))\/((-6)\/(-28)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 247878225 and 5812317.\nAnswer: 4213929825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r**2 + 10*r - 20. Let n be o(4). What are the prime factors of 31\/((-2)\/(-3) - (-2)\/n)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 - 4*k**2 + 2*k**2)*(483*k - 483*k - 181*k**2 + 1).\nAnswer: -181*k**4 + k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 3*p = -15, 4*p + 21 = 4*i + i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of -3*v**5\/100 - v**4\/10 + v**3\/10 + 3*v**2\/5 + 6*v + 1. Determine r so that s(r) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -279344, -557924, -836504, -1115084, -1393664?\nAnswer: -1672244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 545*q - 1444 = 191 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3661 and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + x - 2*x + 174 = 0, -3*y + 5*x + 546 = 0. Suppose 0*g + 2*g - 604 = 0. Let p = g - y. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -542*d**3 - 24*d**2 - 12*d + 1028. Let y(t) = 3*t**3 - 2*t**2 - t. Let z(g) = u(g) - 12*y(g). Find the first derivative of z(a) wrt a.\nAnswer: -1734*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**7\/v**(2\/15))\/(v**(-1\/5)\/(v*v*v*v*v\/(v**(-2\/3)\/v)*v)) assuming v is positive.\nAnswer: v**(221\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/6 or 0.197415?\nAnswer: 0.197415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -168*k**3 + k**2 + 2*k. Let b be i(-2). Suppose -c + b = 85. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v = -51 + 65 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -9*h - 11. Calculate m(-7).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 552794323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/39)\/((-28)\/84).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-384)\/(-4))\/(4\/5750). Round w to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 + m. Let b(t) = 4*t**2 - 3*t + 2. Let i(x) = -x**2 - 10*x - 20. Let k be i(-7). Calculate k*b(w) + 3*h(w).\nAnswer: w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 6:56 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -195066, -195085, -195118, -195165, -195226, -195301?\nAnswer: -195390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -4*h**2 + 28*h. Let j(o) = o**2. What is j(q(k))?\nAnswer: 16*k**4 - 224*k**3 + 784*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 1371*t**2 - 4*t - 1. Let v be u(-1). Suppose y - 1120 = -2*m, 292 + v = 3*m + 5*y. What are the prime factors of m?\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, 0.8498, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 9.6 (c) 0.3 (d) 0.2 (e) 0.1 (f) 0.038\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6 + 4)*(-3 + 3 + 5*g)*(4*g - g - g).\nAnswer: -20*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**3 - 25*l**2 - 12*l + 15. Let v be h(-12). Solve 0 = -12*w - v - 9 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*u + 3302536 = 257*u. What are the prime factors of u?\nAnswer: 2, 7789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/6)\/t**36)\/(t*t**(-3)*t*t*t)**(2\/23) assuming t is positive.\nAnswer: t**(-4957\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88 and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 m when two letters picked without replacement from yvmmr.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -57*r - 1809. Give f(-32).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from gcccgcgcccgccccccc?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1254 and 2508?\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0, 4, -1, -6, -0.2, 9694?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -9. Suppose -4*i = -0*i - 16. Suppose r = -i*r. Solve n - k = -r*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2398.6 and -157.\nAnswer: -2555.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160*v**3 + 81*v**3 + 73*v**3.\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does -14\/4573 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 5*u + 18 = -m, 4*m - 5*u - 22 = 0. Solve 0 = m*n + 24 - 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 442635 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -21*r**3 - r + 2. Let x be i(1). Suppose -n - 926 = -s - s, 0 = 3*s + n - 1379. Is s\/4 - (-5)\/x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 5, -1, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 801 - 7201\/9. Let y be (-78)\/(-144)*4 - (-1)\/(-6). Let l be y\/(-40)*25\/(-10)*-2. Which is the closest to 0? (a) p (b) 1\/2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + 0. Solve -3*d + z = d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13099.\nAnswer: 13099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -358 - -408. Does 4 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24 or 195\/2?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 4 (c) -53.24 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 4*m. Which is the second smallest value? (a) -2 (b) 3\/5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ee + -6b?\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 i when two letters picked without replacement from {g: 1, w: 4, m: 1, i: 1, q: 5}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40793 is divided by 3134?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -444 + 460. Suppose r*m - 7380 = -20*m. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of 5*p**2 - 636. Let s(h) = -2*h**2 - 4*h. Determine s(x(w)).\nAnswer: -200*w**2 - 40*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14511*x**3 + 18181*x.\nAnswer: -87066*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*m + 31*m + 4*k, -5*m = -2*k. Let i be (-8)\/3*(-6)\/4. Suppose d = -i*d. Is m smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (64 + -19 - 60 - (-1 - -2)) + 23\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of w**4\/24 + 4*w**3\/3 + w**2. Let s be 6\/8*(-1 - -21). Suppose 3*b - f + 15 = 0, b - 4*f = -7*f - s. What is d(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15*y**2 - 56*y**2 - 11*y**2)*(19*y - 1 - 1 + 2 + 8*y) in the form i*y**2 + w*y + c*y**3 + j and give c.\nAnswer: -2214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2666808.\nAnswer: 2, 3, 37039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 3 + 7)*(487*t**3 - 1008*t**3 + 496*t**3).\nAnswer: -275*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -7*p + 12*p - 150, 2*p = -30*y + 35*y + 57 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z + 9 - 5 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*h**2 - 48 - 48 + 180 - 84.\nAnswer: -66*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/16 + (-10)\/(-8). Suppose -6 = i - 7. Let t be i*-2 - (l + -87). What is the greatest common factor of t and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p**2 + 11*p - 19. Calculate w(6).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 584\/14 + (-4)\/(-14). Suppose w - 20 = -2*s, -2*w = -0*w + s - 49. Let b = a - w. Is b a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6075 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16352 + -8820. Do 7533 and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -30 - (-3 + (-7 - -6))) + -4?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 9818815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 39?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 100\/(-28) + 3 + (-72)\/(-126)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/11 (b) 3 (c) -1\/33 (d) -3 (e) 48 (f) 1\/4 (g) -0.2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/6)\/((-5)\/135). Suppose a - q = -0*a. Does 9 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/4*1)\/(160\/(-32))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -6*n. Suppose 12 = 4*r - 4*f - 4, -3*r - 3*f = -6. Let i(o) = -2*o + o + r*o - o. What is i(u(p))?\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 43\/4 of a kilogram?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = -2*y - 72, 5*n + 20 = 5*y for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1163, -2325, -3487, -4649?\nAnswer: -5811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -30? (a) 368\/19 (b) -24 (c) 0.19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) 2 (c) 101 (d) 0.0957 (e) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 34 - 26, -4*z + 5*d + 132 = 0. Suppose t + 3*t - z = -2*m, -4 = -m. Solve -t*c = 2*b - 3, -c - 1 = b + b for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56484285 divided by -17.\nAnswer: -3322605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/29, -0.454, -0.4, 48, 0.1?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of (2 + 3 - 1) + -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmddmmmlmmdlmdm. What is prob of sequence mlm?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -230.929 at least -28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 3, 4*v + 30 = 4*k - 22. Let a(f) = -2*f + 7. Let m(j) = j - 3. Determine v*m(g) - 4*a(g).\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94 = -2*p + 102 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 4*g + 2. Let v(q) = 3*q. Let r(x) = k(x) - 2*v(x). Give r(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8300499 is divided by 2244.\nAnswer: 2187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.2 + 1.8. Let o = 1 + w. Let u = 0 - o. Which is the third biggest value? (a) u (b) 0.5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f - 2*f + 4*f - f - 1 + 1 + (-3*f - f + 2*f)*(2 - 2 - 1) + (-3 - 2*f + 3)*(-3 + 3 + 2)*(-5 + 6 + 6).\nAnswer: -22*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 85\/((-14875)\/70) - (8\/5 + -2). Let h = -12.3 - -0.3. Which is the closest to n? (a) 0.1 (b) 3\/7 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (4*sqrt(448)*3)**2 + 1.\nAnswer: 64512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 4*f**2 - f + 2. Let q be n(-3). Let r = 7.2 + -5.2. What is the third smallest value in r, 3, q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 693?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -4. Let m = 10 - 11. Which is the third biggest value? (a) k (b) 0 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -392*j**5 + 418395600*j**4 + 537937630*j**3 + 232679430*j**2 + 38424130*j + 2134674 = 0.\nAnswer: -1\/2, -1\/7, 1067337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 l when three letters picked without replacement from olgilgk.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 321347*u**2 - 635 - 321349*u**2 + 635.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -918557.\nAnswer: -2755671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i**2 + 2*i - 1. Let k be g(-2). Let x(m) be the first derivative of -m**3 + k + 1\/2*m**2 + 0*m. What is the second derivative of x(v) wrt v?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5306 + 2960 = 407*p + 13097 + 11856 for p.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, h: 1, r: 2, q: 4, m: 1, f: 1}. What is prob of sequence ru?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 188663149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 4)*(5*z + 2*z - 6*z) + 3*z - 1 + 1.\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/107387362 and -37\/6?\nAnswer: 322162086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*v**2 + 43767*v + 344169.\nAnswer: (v + 5463)*(8*v + 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109 = 22*l + 1 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 - 0.1. Suppose 32*l = p + 28*l - 7, 2*l + 42 = 4*p. What is the second biggest value in u, p, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*j + 2*i - 3, -5*j - 3*i = -32. Suppose j*t - 3*o - 330 = t, 3*t - 5*o = 322. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3315 (base 6) to base 12.\nAnswer: -53b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 195849122 and 167870676.\nAnswer: 1175094732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30356, 60714, 91076, 121442?\nAnswer: 151812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10 (b) -0.0418 (c) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3580, -14941, -34086, -61015?\n\"Answer: -3892*t**2 + 315*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of o**4\/6 - 8*o**3\/3 + 5*o**2\/2 - 1043*o. Calculate b(11).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 360 and 108870.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 194\/4*-179*496\/(-44392).\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206100000 rounded to the nearest one million?\nAnswer: 206000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaeeaeeaaaaae. Give prob of sequence eaae.\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (3 - 3)) + 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 516.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -155\/165066 and -113\/6832?\nAnswer: 9243696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2278618 is divided by 2278572?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0898948096 rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -2*z + 3*z. Suppose q + 3*q = z. Let y = 0 + q. Solve 2*f - 16 = y*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 1)\/((-1)\/11). Suppose 2*z - 14 = -4*n, 4*n - 6*z + 10*z - 8 = 0. Solve n*q = -6 + h for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*w - w + 6*w - 4*w - 3*w - 2*w + (0 + 1 - 2)*(w - w + 2*w))*(3*w - 3*w - w**3).\nAnswer: 28*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18035253 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.02 (b) 9 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of -121*j**5\/10 - 88*j**4 - 60*j**3 - 16*j**2 + 156*j. Solve h(w) = 0.\nAnswer: -4, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 120*m - 46*m + 222. Put -242, -2, -5, 8, m in decreasing order.\nAnswer: 8, -2, m, -5, -242","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/6 (b) 277 (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nafafafnnnnfn. Give prob of picking 1 f and 2 n.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnnnnnn. Give prob of picking 4 n.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*c - 29*c = 20*c + 208 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 9:20 PM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -1 + 15742*j**3 + 11*j**2 - 10*j - 2 + 4*j. Suppose 2*u = 12 + 2. Let x be s(u). Round x to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - m - 2. Let y be n(2). Let x be 16\/6*(-3)\/2. Let t be 5\/((-20)\/8) + 1. Which is the nearest to y? (a) -2\/3 (b) x (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uhh when three letters picked without replacement from {u: 2, o: 3, e: 6, d: 5, h: 2}.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (4 - 7) - -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 11*o + 3474 = x, 0 = -5*o + 10. Which is bigger: 3465 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -10 - ((-2)\/(-2) - 2). Let v be (-78)\/b - 8\/12. Suppose 20 = v*r - 4*r. Calculate the smallest common multiple of 4 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2674 (b) 0.0072 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 5*l**2 + l. Let i be m(5). Suppose 4*y + p - 47 = 0, 10*y - i*y - 80 = 3*p. Calculate the remainder when y is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2832, -11361, -25614, -45621, -71412?\nAnswer: -103017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/(-4) - 3)\/(-1). Solve -h = 4*h - q for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18.2 times 21.7\nAnswer: 394.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**3 - 10*f**2 + 38*f - 23. Let z(h) = -h**3 - h + 1. Let j(s) = -2*s + 1. Let k be j(1). Let n(v) = k*m(v) - 3*z(v). Solve n(w) = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*n**4 + 4*n**3 + 490*n**2 - 2*n - 896578 wrt n.\nAnswer: 48*n**2 + 24*n + 980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 464091a3?\nAnswer: -464091a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of 55*f**3\/6 + 45*f**2\/2 - 3*f. Suppose 4 = -w + r, 2752 - 2760 = 2*w + 3*r. Let q(i) = -5*i - 4. Give w*k(h) - 45*q(h).\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (8\/60)\/((40\/(-36))\/(-5))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -15418280, -15418284, -15418288, -15418292, -15418296?\n\"Answer: -4*o - 15418276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 75 + -22. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 1.73.\nAnswer: 1.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-3\/2)\/w)\/w*w**(6\/5))**50\/((w**(3\/4)\/(w**8*w))\/((w\/w**(-2\/7))\/(w\/(w**(2\/3)*w*w)))) assuming w is positive.\nAnswer: w**(-8719\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 186 + -101. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.28, -1.58, 25 in increasing order.\nAnswer: -1.58, 0.28, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + 2358\/(-126) + 16. Suppose 4*n = 2*i + 4, 2*n - 5 + 1 = 0. Let g = -0.18 + -0.02. What is the closest to -0.2 in i, g, y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*i + 16*i - 4*i**4 - 8*i - 10 wrt i?\nAnswer: -16*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5511*0.4\nAnswer: -2204.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-52))\/((-35903)\/184644)\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 2:40 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 + 4*z. Calculate s(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.56 + -2.44. Which is the smallest value? (a) 0.11 (b) q (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 5*d - 25, 3*s = d + 12 + 1. Suppose 0 = s*m - 49 - 26. What is the remainder when 42 is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.3 + 5. Let w = 0.2 - k. Sort 5, 1\/3, w in increasing order.\nAnswer: w, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of 0 + 0*o**3 + o + 1\/6*o**4 + 0*o**2. Let x(a) = a**2. Determine x(g(h)).\nAnswer: 4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z + 4*l = -5*z + 8, -l - 30 = 7*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3.81647 kilometers?\nAnswer: 3816470000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/111 (b) -4 (c) -2.55 (d) -1.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = 3*a - n, 0 = 5*n - 6*n + 5. Let c = -42 + a. Suppose 0*w = -c*w - 50. Which is greater: w or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, q: 7, s: 3, y: 3, l: 2, e: 3}. Give prob of picking 1 e and 1 y.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 2. Suppose 0 = -3*f - 2*z - 7, -2*f - b*z = 3*f + 5. Let m(s) = s**3 - 6*s**2 + 5*s - 3. Let x(c) = c**2 - c + 1. What is f*m(v) + 5*x(v)?\nAnswer: v**3 - v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 5*y**3 - 860*y**2 - 1735*y - 870 = 0.\nAnswer: -1, 174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*c**5 + 76 - 76)*(-6 + 2 + 2).\nAnswer: -78*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 30 = 2*i. Let g = 15 + 13. Let r = -27 + g. Calculate the least common multiple of r and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -5 - 3 - (0 + -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*l + 2*j, -l - 4 = -5*j - 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 756798 + -756975.1935. Let p = c - -169.2. Let t = p - -8. What is t rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -217 - 107. Let d = z - 1796. What is d rounded to the nearest 100?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 59296 by 4.\nAnswer: 14824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from {u: 7, a: 4}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(144)\/sqrt(3))\/sqrt(6))*-3)**2.\nAnswer: 144*sqrt(2) + 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 87*z + 11. Let r be k(12). Suppose 3*m + 437 = -5*i + r, 3*i = -2*m + 413. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 12 = 4*m, u + 4 = 4*m - 8. Suppose 0 = -6*x + m*x. Solve 0 = 2*c - x - 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*-11*(-14)\/5390?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -a**3\/3 - 9*a**2\/2 - 8*a + 31. Determine o(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5565338 rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/7, 26, 0.2, -0.5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**5 + 1076*n**4 + 125358*n**3 + 488456*n**2 + 484120*n = 0.\nAnswer: -95, -2, 0, 637","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1863, -1872, -1891, -1926, -1983, -2068?\n\"Answer: -u**3 + u**2 - 5*u - 1858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25419574, 25419581, 25419588, 25419595?\nAnswer: 25419602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1694318 - -293.24.\nAnswer: -1694024.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 3*u + 2 = -0, 4*u = 5*k + 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1716 and 1924?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2 + 312*v + 4320.\nAnswer: -4*(v - 90)*(v + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -68261, -136521, -204781?\n\"Answer: -68260*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*(b\/(b*b**(1\/4)))\/b))**(9\/5))**(21\/8) assuming b is positive.\nAnswer: b**(189\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 8:46 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 95*h**3 - 97*h**3 + 2.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -139 - -138.99999939. Round l to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*x = 75*x + 303678. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/300 and -63\/1670.\nAnswer: 50100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 4*v = -269, 4*l + 0*l + 4*v = 208. List the prime factors of l.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 486*d - 363*d + 9717 for d.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lkkkkkkkkkkdlk. Give prob of picking 1 l and 3 k.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 17979556 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuhuuh. What is prob of sequence hh?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 345?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 132284, 132286, 132288?\nAnswer: 132290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/406, 2505\/4, -3, -2\/5 in increasing order.\nAnswer: -3, -2\/5, 1\/406, 2505\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.17800714484786 from 0.12.\nAnswer: -0.05800714484786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2674.784 + -2687. What is w rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 100\/3 + -694\/21. Let u = 8.7 + -10. Let n = 2.3 + u. Which is the biggest value? (a) -4 (b) i (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 628106613?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -202, 3.\nAnswer: -202, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is acaff + 6b?\nAnswer: acb6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((a\/a**5)\/a*a)\/a)\/a**(2\/5))\/(a*a**1\/a)**8)**(-15\/4) assuming a is positive.\nAnswer: a**(201\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -5*c**2 + 3580080*c - 17900275 = 0.\nAnswer: 5, 716011","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 1 = 2*p - 1, -2*p = -5*x - 26. Let w(b) = 9*b**2 - p*b + 5*b**3 - 3*b**2 + 3 - 7*b**2. Is w(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q - 2. Let d be 6\/(-9) - 28\/(-6). Suppose d*n - 14 = 14. Let t be u(n). Put -3, 0, t in ascending order.\nAnswer: -3, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1134879677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2025 + 166?\nAnswer: -1526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3322031231 - 3002?\nAnswer: -3322100233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -472*s + 484*s - 48. Solve -s*b = -16*b + 12 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7381845?\nAnswer: 3, 5, 41, 4001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1350)\/1050 - 6\/(-42)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wx when two letters picked without replacement from {w: 2, x: 5}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -119\/3 - -39. Sort -3\/2, 1\/4, t in increasing order.\nAnswer: -3\/2, t, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + 3)*4\/(-6). Suppose 0 = k + 12*k. List the prime factors of (b + k)\/((-12)\/90).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3070076, 3070082, 3070088, 3070094?\n\"Answer: 6*y + 3070070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 52\/39*6\/4. Find the second derivative of -8*t + 47*t**g - 47*t**2 + 9*t**3 wrt t.\nAnswer: 54*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37767, 13, 4, -3 in increasing order.\nAnswer: -37767, -3, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -183?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 28*l**2 - 35*l + 20. Let s be w(-28). Suppose -965 + s = 7*u. Solve 0*g = -u*g + 15 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 494528\/49 + -10092. What is the common denominator of i and -36?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8652384*s**3 - 10*s + 147124 wrt s?\nAnswer: -51914304*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k. Let c be (-1)\/2*1*-8. Let q be c\/(-10)*(-15 - 0). Let n(z) = -4*z - z + q*z. What is n(a(w))?\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -299 - 3375?\nAnswer: -3652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/4 - (-2)\/8. Suppose 5*s - 90 = -f*s. What is the lowest common multiple of s and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j - 165 = -b + 40, -3*b + 463 = 5*j. Which is greater: 1\/4 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - 5015907.57.\nAnswer: -5015907.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 11 - 1. Let b(i) = 6*i**2 - i - 3. Let d(n) = 11*n**2 - n - 5. Calculate s*b(x) - 3*d(x).\nAnswer: -3*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 47*b**6 + 8*b**3 + 2152*b**2 wrt b.\nAnswer: 5640*b**3 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 115395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 22 = 4*y. Suppose -y*b = -z + 16 + 5, 2*z - 2*b = 12. Solve 16 = 5*v + z for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60, -140, -220, -300?\nAnswer: -380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3336662*u**2 - 14385*u - 1 wrt u.\nAnswer: -6673324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n - 33684 = 134*n - 38002 for n.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.09378ms in hours?\nAnswer: 0.00001002605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 457 = -d - 5*f, 3*f + 468 = -d. Let g = 792 + d. What is the remainder when g is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40676 divided by -4.\nAnswer: 10169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -5*y**2 - 6*y**2 + 10*y**2. Let w(n) = -11*n**2. Give w(b(c)).\nAnswer: -11*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(125)*-1 - sqrt(125)).\nAnswer: 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 720 - 722.2. Let g be 1\/((-14)\/(-18)) + -1. What is the nearest to g in 0.1, p, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/15663 and -31\/283596?\nAnswer: 1480654716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 22054\/5077?\nAnswer: 22054\/5077","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/73 (b) 5 (c) -981\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iconvou. What is prob of picking 1 u, 1 n, 1 o, and 1 i?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -33*v**2 - 45*v**2 + 26*v**2 as p + y*v**2 + j*v and give y.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 71, -2\/3, 0.2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 6 + -3)\/1. Let t be -1 + z\/((-2)\/51998). What is t rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -439004, -1756046, -3951118, -7024220?\n\"Answer: -439015*z**2 + 3*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of 58*y**2 - 187\/6*y**3 + 198*y + 0. Differentiate f(c) wrt c.\nAnswer: -187","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6517 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - 651\/9)*2\/(-4). Let r = g + -35. Let p = 2.3 + -2.7. Which is the second smallest value? (a) -3 (b) 1 (c) p (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -32\/19 - 12\/19*f + 2\/19*f**2 = 0?\nAnswer: -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*z - 3*w, -6*z = -z + 5*w + 25. Let q(a) be the third derivative of 1\/30*a**5 - 5*a**2 - 1\/3*a**3 + 0*a**4 + 0 + z*a. Let q(n) = 0. Calculate n.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3434671 is divided by 1717334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21947615 to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of t**3 + 6*t - t**3 - 5*t**3 - 2*t wrt t.\nAnswer: -30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 8*p - 29. Let d be k(-4). Let m = d - -194. What are the prime factors of m?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 7*d**3 - d**2 + d - 1. Let p be t(1). Let a be p\/(-2*(-9)\/12). Let m be ((-30)\/9)\/(a\/(-6)). Solve -m*g = -2*w - 9, 0 = 2*g - 0*g + w for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/4*(-8)\/(-6). Let h be (-6 + 2 + 2)\/(2\/(-4)). Sort 3, w, h in ascending order.\nAnswer: w, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of x**4\/20 + x**3\/15 - 26. Factor l(g).\nAnswer: g**2*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, t: 2, f: 5, z: 3}. Give prob of picking 2 t.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -7 - 2*v**2 + 11*v + 0 + v**2. Let w be b(10). Let t be (-3)\/(6\/(-154)) + w. Calculate the highest common factor of 20 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 16 = -2*o. Suppose -4 + o = 4*i. What is the nearest to -0.1 in -3\/8, 1\/7, i?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-14 + (0 - -6) + 6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.691342 plus 4?\nAnswer: 7.691342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 10) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -15*z. Let f(p) = -1592*p**2. What is j(f(d))?\nAnswer: 23880*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24508 is divided by 24496.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -12*j**3 + 60*j**3 - 13*j**3 - 34*j**3 + 3*j**2. Let l(d) = -8*d**3 - 26*d**2. Give 52*i(u) + 6*l(u).\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16076?\nAnswer: 2, 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 + h + 4. Give f(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 961 from 0.0002.\nAnswer: -960.9998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 + -16. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -53 - -85 - 13.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/543, -3\/5, 0.37, -3, 3 in decreasing order.\nAnswer: 3, 0.37, 2\/543, -3\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*m - 27*m - 21 = u, 8 = 2*m for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -32*r**2 - 4*r + 5. Let s(p) = 17*p**2 + 2*p - 2. Give 9*s(b) + 4*y(b).\nAnswer: 25*b**2 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 212028?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (21\/6)\/7*(-26 - 4)*-3 and 624.\nAnswer: 9360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 65? (a) 5 (b) -13 (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 4*p**3 + 2*p**2 + 6*p + 2. Let u(b) = b**3 - b**2 + b. Let y(a) = 3*u(a) - z(a). List the prime factors of y(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c - 2. Suppose 7*k - 35 = -0. Calculate x(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134454559 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108 - (-2 - -2 - -3) is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5*(-2*sqrt(117)*-1 - sqrt(117)))\/((1*(sqrt(90) - 4*sqrt(90)))\/sqrt(10)).\nAnswer: 20*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7382, 7386, 7390?\n\"Answer: 4*g + 7378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of p**6\/360 + p**5\/30 - 2*p**3 + 1. Let s(y) be the third derivative of t(y). Find the second derivative of s(f) wrt f.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 381\/1700954?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186800431.\nAnswer: 59, 367, 8627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q - 2*q + q + (-4 + 0 + 5)*(0*q + 2*q + 0*q) + q + q - 3*q + 336*q + 156*q - 61*q.\nAnswer: 433*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10729 is divided by 23?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i**0*i)\/i)\/i)**(-14)*(i**(2\/7))**(10\/3))\/((i**(-3\/7)\/(i*i*i\/(i*i**(-4))))\/(i\/(i**(-1)\/i*i))**23) assuming i is positive.\nAnswer: i**(1415\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3030003 (base 4) to base 9\nAnswer: -18820","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g - 5. Let f be 16 + -17 - (1 + -1). Let o(i) = i - 4. Let s(t) = 1. Let a(x) = f*o(x) - 3*s(x). What is 3*a(c) + l(c)?\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 188 and 156\/91 + (-4)\/(-14).\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2055*n**2 + 1030*n**2 + 1434*n**2 - 569*n**2 + 10*n**2)*(-3*n - n + 2*n).\nAnswer: -7920*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 504 in -2, -29, 1\/1146, -0.4?\nAnswer: 1\/1146","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 265556 (base 7) in base 4?\nAnswer: 30031211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 398798*s. Let v(a) = 15*a**2. Calculate d(v(h)).\nAnswer: 5981970*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 221520 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39828, -79727, -119636, -159555, -199484, -239423, -279372?\nAnswer: -319331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -8*l + 1 + 1\/2*l**2. Let c be n(8). Solve c = -2*q + q + 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22361188 divided by -22406\nAnswer: -998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1034549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2311383607, 2311383608, 2311383609, 2311383610?\n\"Answer: b + 2311383606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 121 + -87. What is the remainder when 84 is divided by f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 + 3 + (-3 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-10))\/((-38)\/(-95)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -11974395.6 to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10307.5 + 10308. Which is the second smallest value? (a) -0.3 (b) x (c) 0.3 (d) -2\/3 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -113627\/244 and -467 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8429869?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 45 + 19. Suppose -w*a = -11*a - 30. Put 0, a, -3\/2 in descending order.\nAnswer: a, 0, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tsgbbeeetgttgttte. What is prob of sequence egg?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*t + 166 = -934 for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**3 + 0*c**4 + c**4 - c - 4398*c**2 - 13*c**4 + 4399*c**2 to the form h*c + y*c**3 + d + n*c**4 + r*c**2 and give n.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -14. Let o = 1264 + -1263. Sort o, -1, g.\nAnswer: g, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 16*v**2 - 17*v + 13. Let n be j(-17). Calculate the highest common factor of n and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-432)\/(-45)*75\/60.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -3. Suppose -a - z*f - 5 = 0, -2*f + 3 = 5. List the prime factors of (a - -1)\/((-9)\/(-198)).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**3 - 229*m**2 + 201*m - 4. Let l(x) = x**3 - 228*x**2 + 202*x - 3. Let v(s) = -4*l(s) + 3*q(s). Find the second derivative of v(y) wrt y.\nAnswer: 12*y + 450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-200)\/(-72) - (-2)\/9. Let q be (2600\/z)\/(4\/(-1200)). Round q to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -85. Suppose -j = -2*a - 2*f, -2*a + 190 = 3*a - 5*f. Let i = a + -17. Solve -3*c - i = c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*y**5\/2 + 78*y**4 + 1831*y**3\/2 + 678*y**2 - 154*y = 0 for y.\nAnswer: -7, -1, 0, 2\/11, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k + 2*k - 9*k**4 + 6*k**4 + k - 1 + 3*k**2 in the form i + f*k + x*k**2 + l*k**4 + a*k**3 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (19 - 6 - 11).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 90082712 - 29031583. Let m = 105851129 - p. What is m rounded to the nearest 1000000?\nAnswer: 45000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*p**3 - 156336*p - 156345*p + 469027*p - 156346*p.\nAnswer: -21*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4 + sqrt(17)*-1 + sqrt(17) + 2*sqrt(2057) + 2)**2*6*-3.\nAnswer: -148752 - 4752*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000263764 rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 198 - 98 - 100 + 22261*n**2 - 5983*n**2 - 2 + 2 - n**2 + (1 + 4 - 3)*(n**2 + 0*n + 0*n) + 0*n - 2*n**2 + 0*n.\nAnswer: 16277*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 26\/5 of a century?\nAnswer: 6240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 622721443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h\/(h**(4\/3)*h*h))\/h)**34*h**(3\/4)*(h**6*h)\/h)**33 assuming h is positive.\nAnswer: h**(-9581\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -k**4\/4 - k**3 - 10*k + 29. Is 6 a factor of h(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104.7376 - -84.42?\nAnswer: 189.1576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2026045 divided by -5\nAnswer: 405209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57471?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -29*c**3 - c**2 + 9*c - 7. Let l be q(1). Is (64434\/(-24))\/(7\/l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49.17 + -4.97. Let n = m + -42. Let r = n - 2.5. Which is the nearest to r? (a) -1 (b) 0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 21316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -222\/5 + 44. Suppose -94 = w - 90. Let n be (w\/(-6))\/(8\/48) - 5. Is n equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + sqrt(1377)*3 + 3)**2*-3.\nAnswer: -40011 - 504*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-31*b**4 - 400*b + 400*b)*(5 - 3 - 3) + 4*b**3 - 91*b**4 - 136*b**4 - 4*b**3 to the form d*b**3 + g*b**2 + o*b + f*b**4 + z and give f.\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3308 or 4517?\nAnswer: 3308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2417 - 2759 = -108*c - 37*c - 502*c for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 40*k**2 + 9108*k + 9080. Let t(m) = -114*m**2 - 27322*m - 27242. Let b(q) = 6*t(q) + 17*w(q). Suppose b(z) = 0. Calculate z.\nAnswer: -2273, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1994.\nAnswer: 2, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 10*f + 23. Let m(k) = 3*k + 8. What is -17*m(u) + 6*o(u)?\nAnswer: 9*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 2\/(-5)*570\/(-12)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16564.\nAnswer: 2, 41, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.87 + -0.38. Let w = o + 0.01. Which is the fourth biggest value? (a) 3 (b) w (c) -6\/5 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - k + 18 = 0, 2*k + 75 = 81 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2972*f = -2507*f + 16275 for f.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 3*f + 17, t + 0 = -4*f - 6. Let d = 4 + 0. Let b be t*d\/(-48)*6. Is b at least as big as 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(3\/4))**(-2\/167)*b**31\/(b\/b**(-18)) assuming b is positive.\nAnswer: b**(4001\/334)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-6)*j*j*j**(-1\/3)*j**(-12\/5)*j**(-20))**(-1\/29) assuming j is positive.\nAnswer: j**(401\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 3, -26, -53, -78?\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -h**2 + 3. Let z(n) be the first derivative of 0*n**2 - 5 + 3*n**2 - 1. What is z(j(i))?\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*x - 5*x + 1000 = 0. What is the common denominator of (-46)\/x - (-78)\/130 and -19\/5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b - 2. Suppose -4*r + 5*o = -28, -r - 4*o - 18 = -2*r. Suppose -12 - r = -2*f + y, 3*f = 5*y + 35. Let v(w) = 10*w + 6. Give f*v(k) + 16*z(k).\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u*(u*u*u\/u**16*u*u)\/u)\/u*u))\/u*u**31\/u)**7 assuming u is positive.\nAnswer: u**287","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4dfbe (base 16) to base 8.\nAnswer: -1157676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**3 - 47*a + 4*a**3 + 47*a.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1781, -4, -639, -5, -1\/5, 5 in increasing order.\nAnswer: -639, -5, -4, -1\/5, -0.1781, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7447 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: What is prob of sequence jgj when three letters picked without replacement from {j: 5, g: 2, o: 7}?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 293113 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + s - 35. Let k = s + -10. Let g be (-1)\/k + (-39001)\/3. What is g rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of 2*k**3\/3 - 2*k**2 + 2*k - 3. Suppose t(g) = 0. Calculate g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 141 (base 5) to base 16.\nAnswer: 2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -107 - -117. Solve 3*i - j = 5*i + 2*r, -5 = i + 3*r for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -31732833 and -13.941143?\nAnswer: 31732819.058857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19474620 a multiple of 330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 7 + -11 + 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2052, 2034, 1990, 1908, 1776, 1582, 1314?\nAnswer: 960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 319 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*sqrt(70) + sqrt(70) - sqrt(70))\/(sqrt(90)*3) - ((sqrt(7)*-2 - sqrt(7)) + -3 + -3*sqrt(49)\/sqrt(7) + sqrt(7)).\nAnswer: 3 + 37*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01066631023 to 5 decimal places.\nAnswer: 0.01067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163*i**2 + 12892421*i**3 + 163*i**2.\nAnswer: 12892421*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 4*s = -2. Let b = s - 67. Is 141\/11 + (-12)\/b a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-706)\/6707*57\/(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.64474246 rounded to two decimal places?\nAnswer: 1.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 5*q**3\/4 - 12375*q**2\/4 + 1799635*q\/4 + 21300015\/4 = 0.\nAnswer: -11, 167, 2319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 2. Let q(d) = 16*d**2 + 3*d - 1. Let m be q(-4). Let r = m - 2189\/9. Which is the third biggest value? (a) w (b) -4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 6*b + 9. Let d(s) = -s**3 + 5*s**2 - 9*s + 17. Let c be d(3). Calculate l(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -117248, -236642, -356036, -475430, -594824, -714218?\nAnswer: -833612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 20*c - 17*c - 10, -5*c + 25 = -5*t. Solve c = 3*a - 235 + 235 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127 = -24*g + 31 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 3*b + 40, 4*l - 5*b + 5 = -0. Suppose -11 = -3*i + x - l*x, -2 = -i - 3*x. Solve -5*n + u - i*u = -8, 5*u = 5*n + 10 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237523 to the power of 1\/2, to the nearest integer?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 61433831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25799320 divided by 356.\nAnswer: -72470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -262738960*z - 692420168?\nAnswer: -262738960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - 80*g + 596. Calculate c(7).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39902809?\nAnswer: 367, 108727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -770 by -1.\nAnswer: 770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - 3*c + 8. Let b be w(-5). Let i(k) = -4*k**2 - 4. Let d(l) = -3*l**2 - 3. Calculate b*i(h) + 3*d(h).\nAnswer: -h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 57\/4, 0.2, 0 in increasing order.\nAnswer: 0, 0.2, 9, 57\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-608)\/(-10))\/19*2\/(8\/15)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 10:36 PM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6693, -13415, -20137, -26859?\n\"Answer: -6722*v + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**3\/(w*w\/(w\/w**(2\/9))*w)*w**(3\/8)\/w**(-5)*((w*w*w**(-2\/17))\/w*w)\/(w\/(w\/(w**(2\/7)*w)))*w**(4\/5)\/w**7 assuming w is positive.\nAnswer: w**(23537\/42840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 16*d**2 + 3. Suppose -12*v + 16 = -11*v. Let s be q(v). Let g be (-1 + 5)*(-33)\/(-6). Solve -g = s*h - 7 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 5*u = -10, -2*r + u - 2*u = -2. Solve 0 = -r*k + 2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*j = 28*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -137, -303, -469?\nAnswer: -635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2022 is divided by 184.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-45))\/(28\/9)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 1.4. Let q = -16.4 - -21. Let x = l - q. Sort 0.2, x, -1 in increasing order.\nAnswer: x, -1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 24*z - 70. Let j be f(27). Suppose -j*m + 45 = -2*m. Solve -5*q + m*u = 30, -5*u + 0*u = -5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -268*y - 13. Let b(j) = -136*j - 8. Give 7*b(u) - 3*c(u).\nAnswer: -148*u - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1 + sqrt(3) + (sqrt(75) + sqrt(75)*1)**2.\nAnswer: sqrt(3) + 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 - 5*t**2 - 5*t + 2*t**2)*(6 - 9 + 1).\nAnswer: 2*t**2 + 10*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 26625 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 - 6*i + 16 + 9 + 10 + 0*i to the form h + j*i and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12295 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -257, 0, -2.\nAnswer: -257, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -17062?\nAnswer: -5118.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 4*p**2 + p + 4. Let w(k) = -5*k + 1. Let y be w(1). Let v be z(y). Suppose v*t + 2*t = 42. 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: Four letters picked without replacement from {b: 1, n: 1, a: 2, z: 2, e: 6, p: 5}. Give prob of picking 1 p, 1 b, and 2 e.\nAnswer: 15\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 + y**2 + y**2)*(-6 - 5*y**2 + 6) + 3 - 3 - y**4.\nAnswer: -16*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4 = 3*z - 42, 2*a = 2. Solve -2*c - z = -2*g - 3*c, g + c - 8 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-3 - (7 - (-4)\/(-1))) + 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -6*l. Let c(o) = o + 85. What is s(c(w))?\nAnswer: -6*w - 510","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-24)\/(-10))\/((-1)\/(-5)). Suppose 0 = 4*n - f. Let c = 1 + 1. Solve -v = c*v + n for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 - (-25 + 1))*(-1 + 24\/15). Solve -35*i + 23 = -r for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1360 and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 111.938 + -120.938. Let r be 7*(1 - 0) + -2. Which is the nearest to 0? (a) x (b) -0.4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**1\/(z\/(z*z*z**(-11)))*z**(1\/2)\/(z*z\/(z*z\/(z**(-2)\/z))*z) assuming z is positive.\nAnswer: z**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6916 + 6916. Suppose 3*d - 3*b - 42 = 0, 2*d - 4*b + 22 = 4*d. Solve -3*n + f*t + d = t, 3*n - 19 = 2*t for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (38*((-24)\/(-3))\/32)\/(10\/(-20))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2445 and 89055?\nAnswer: 14515965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1626423 is divided by 45.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.281037 nanograms in milligrams?\nAnswer: 0.000007281037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -167 - -169. Suppose 0 = 2*k - 5*k - f*x + 192, 0 = -3*k - 3*x + 189. What is the remainder when 120 is divided by k?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.15, 1, -6, 0.1 in descending order.\nAnswer: 1, 0.1, -0.15, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23 + 109*k**3 + 186*k**2 + 27 - 51 - 111*k**3 - 34*k**2 to l*k**2 + u*k + s*k**3 + p and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.463697 to one dp.\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 320*r - 317*r - 108, 0 = y - 2*r - 83. Calculate the smallest common multiple of 33 and y.\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 870324 = 3*u, 1160423 = 4*f + 13*u - 18*u. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -dd3d (base 14) to base 4.\nAnswer: -21112003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 40 = 2*h - 2*a, a = -h + 19. Is 9 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4031 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -171 + 29 - 3*r**3 + 30 + 112.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -4*t**5\/7 + 15664*t**4 - 548116*t**3\/7 - 657768*t**2\/7 = 0.\nAnswer: -1, 0, 6, 27407","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2226? (a) 34 (b) -3 (c) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245178368.\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**4 - 143816*s**3 + 143812*s**2.\nAnswer: 4*s**2*(s - 35953)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 28\/24 - 1\/6. Is (h + -2)*(-12 + -1) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.5 + 1. Let g = 73 - 71. What is the closest to g in -3, 0.4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*c + 0*c + 2*c)*(-1 + 3 - 3)*(3 - 3 - 4) as y*c + b and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/3)*g)**(-8\/7)\/(g**(4\/9)\/(g*g**6\/g)) assuming g is positive.\nAnswer: g**(326\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -4*p**3 + 628*p**2\/3 - 820*p\/3 + 68 = 0?\nAnswer: 1\/3, 1, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39 + 0. Let c be (-1 - (-7)\/6)\/(s\/(-12)). Let g be (0 - 0)*6\/12. Does g = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of -l**4\/4 + 9*l - 3. Let f(g) = g**2 + 3*g - 3*g. What is s(f(v))?\nAnswer: -3*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 - 54 = -2*o, 2*s = s + 3*s - 4*o + 100 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/2 + 1)*6 - -8723. Let z(g) = -3*g + v - 8720. Let h(j) = -17*j. Give z(h(s)).\nAnswer: 51*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -370833440 to the nearest one hundred thousand.\nAnswer: -370800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (((-9)\/162)\/((-2)\/(-3)))\/((-22)\/(-99)). Let x = -1.2 + 1. Let w = x - 0.2. Put w, 1\/6, f, 3 in descending order.\nAnswer: 3, 1\/6, f, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 377795557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 101381361 and 261.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/29745 and 89\/54426.\nAnswer: 539633790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of 5\/6*o**2 + 0 - 2\/9*o**3 - 1\/36*o**4 + o. Suppose h(m) = 0. What is m?\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 2*m - s + 33, -2*s - 42 = 3*m. Let g = -18 - m. Let w be (-12)\/8*20\/g. Solve w*f + 16 = f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 223 divide 3470273060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 469599.6mg in nanograms?\nAnswer: 469599600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1255, 0, 6, 2 in descending order.\nAnswer: 1255, 6, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, d: 2, f: 4}. What is prob of picking 1 d and 1 w?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*t - 9*t + 2. Suppose t*d - 6*d - 144 = -2*y, y - 96 = -4*d. What is the tens digit of (-2)\/16 + 1770\/y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - 5*p - 10. Let m be f(-2). Let g be (m\/(224\/(-12)))\/((-6)\/8). Let k be 24\/165 + (-6)\/(-15). Which is the closest to g? (a) k (b) 4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 10*y**3 + 5*y. Let z(r) = 50*r + 38*r - 3*r**3 - 94*r - 8*r**3. What is -6*l(b) - 5*z(b)?\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -744538*z + 1489184. What is g(2)?\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -117399\/14 + 8378. What is the common denominator of f and 17\/42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 4*f + 19. Solve 2*g - 21 = -f*l + g, 3*l - 11 = -g for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.05 from -53.1.\nAnswer: -53.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 142133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, -0.3, 10, 2\/11 in decreasing order.\nAnswer: 10, 2\/11, 0.06, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 10:31 PM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*c**3 - 23*c**3 + 13*c - 12*c + 29*c wrt c.\nAnswer: -180*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k + 2. Suppose -5*m = -2*l + 38, 0 = 5*l + 4*m - 1 - 28. Suppose -o = -4*o + l. Calculate the remainder when 14 is divided by z(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f + 20. Let h be j(-9). Solve -h*g + 3*g + 10 = 2*x, -5*g = -5*x + 25 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 5*i**2 - i + 4. Let o(q) = 2*q**2 + 2. Determine -7*o(j) + 3*s(j).\nAnswer: j**2 - 3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r + r - 6 + 4.\nAnswer: -3*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 24*d - 28. Determine s(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*r - 102*r + 1552 = 240 for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.6 + -1089.38?\nAnswer: -1091.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by 40?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {l: 1, y: 3, e: 1, o: 3, p: 5}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-4)\/(28\/(-7))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*i - 153 + 172 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14)\/(-63) + (-1490)\/(-18). Let j = 248 + v. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -126, -133, -126, -99, -46, 39, 162, 329?\nAnswer: 546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 7160 divided by -1790\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -99462 - 0?\nAnswer: -99462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58473 is divided by 100?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 26 - ((-11 - -9) + -6)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 + 20. Which is smaller: n or 635\/4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 720 = -0*k - 2*k, -k + 2887 = 4*j. Let c = j + -447. Calculate the greatest common divisor of c and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(85)\/(sqrt(20)\/(sqrt(4)*-1)) + (sqrt(102)\/sqrt(24) - (0 + sqrt(153))))**2.\nAnswer: 837\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006273 to seven decimal places.\nAnswer: -0.0000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 439*m**3 - 31*m**2 + 21*m - 20. Let s be v(20). What is s rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 368587 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -415*c - 1148 = 159*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s + 2. Let q be c(-1). Suppose 4*z + 280 = 4*b, q*b + 286 = -4*z + b. Let r = 223 - z. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-13)*v*v*v)*v**(-4\/7))\/(v**(-2\/41))**22 assuming v is positive.\nAnswer: v**(3301\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: d00 (base 14) to base 13\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 479 + -479. Which is the smallest value? (a) 1\/5 (b) x (c) -36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 83968 - 52414. List the prime factors of h.\nAnswer: 2, 3, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x**2 + 1. Let y be z(1). Find the second derivative of -y*j**3 + 12 - 3*j - 12 + 0*j**3 wrt j.\nAnswer: -24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 88491834.75+-6589\nAnswer: 88485245.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**3 - 3*q**2 + 13*q. Let s(j) = 2*j**3 + 2*j**2 - 9*j. What is 5*h(v) + 7*s(v)?\nAnswer: 4*v**3 - v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((20158\/(-8))\/(28\/112))\/(-1)?\nAnswer: 10079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 12*s**2 - 62*s - 16. What is the remainder when 253 is divided by m(16)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - 6*r**2 + 4*r - 9. Let u be q(6). Solve u*z - 92 = -2 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -18*r**4 - 3*r**3 + 6*r**2 - 3*r - 3. Let t(g) = g**3 - g**2 + g + 1. Let k(u) = -j(u) - 3*t(u). What is the third derivative of k(i) wrt i?\nAnswer: 432*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 357387803.\nAnswer: -357387803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(-5) + (-1 - -9). Let m be ((-4)\/s)\/((-2)\/(-230)). Let d = m + 68. Solve d = -4*f + h - 2*h, 5*f - 3*h + 19 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12902859.425 + -13070260. Let d = h - -167398.27500046. Let a = d - -2.3. Round a to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 252 = -j. List the prime factors of j.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/26 + 0 - (59622\/2470 - 23).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/9 + 22\/(-6). Let t = r - -5. Let q(c) be the first derivative of 2*c**2 - 1. Give q(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyjyjyjjjjyy. What is prob of sequence jjyy?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4899 + 635. Let p = d - 14536. Round p to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u + 573 - 573.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x - 3*y - 15, -2 = 6*x + 22*y - 17*y for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 190*h - 10. Let b be z(4). Let l be b*((-1288)\/(-6) - -4). Round l to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t**3 - 3*t**3 - 146*t - 248*t.\nAnswer: 3*t**3 - 394*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/4, 0.1, -3\/20, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 123959181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 902\/9 (b) 6 (c) -2\/91\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 4*k - 2990, -2*k + 1267 + 225 = -4*y. What are the prime factors of k?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3168 = -194*x + 26*x - 8*x for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155512 is divided by 25913.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4072 = y, 2*y - 5*y + 12180 = 3*n. Suppose -64*m = -16040 - y. List the prime factors of m.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -w - 4*w - 76, 3*w + 96 = 3*y. Let r be 33\/(y\/8 - 2). Let v be 4\/(-14) - (-112)\/49. Calculate the highest common divisor of v and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, p: 4}. Give prob of picking 2 z.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -1. Calculate the greatest common factor of c and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/((b**(-2\/5)*b)\/b)*b))**(1\/30)*b**2*(b**(-2\/9)\/b)\/b*b*b*b\/(b*b*b**(-1))*b**(-1)*(b\/b**6)\/b**(-5) assuming b is positive.\nAnswer: b**(329\/450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/(-34)*(-4)\/(-17)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*h - 13 + 3*h + 12 - 33 wrt h?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102210111022 (base 3) in base 12?\nAnswer: b2445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + 2 - 6*z**3 - 2*z + 5*z**3 - 2*z**2 - 2*z**2. Determine j(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + -10 + (9 - 5) + 14.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 27\/2 of a minute?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 60769\/6 - 26042\/3. Let k = s - 1483. Let d = 52339\/4152 - -10\/519. What is the common denominator of k and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 4*p**3 - 38 + 19.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ifi when three letters picked without replacement from iiiffrfir.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2*z**2\/5 - 46*z\/5 + 44\/5 = 0.\nAnswer: 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-30 - -10)*(-4)\/8. Let o(m) = 2*m**3 - 22*m**2 + 19*m - 9. Let k(v) = 3*v**3 - 33*v**2 + 28*v - 13. Let i(d) = 5*k(d) - 8*o(d). Calculate i(z).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 15*g**3 - 2146*g**2 + 140*g + 414. Calculate h(143).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 20*(-4)\/(-8)*(-2)\/(-4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2981*v + 70 + 24 + 2983*v. Let k(h) = -2*h**2. Calculate l(k(w)).\nAnswer: -4*w**2 + 94","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((5\/140)\/((493\/29)\/(-119)))\/(3\/22)?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/15 - (-2)\/(-10). Let z be 4\/(-2) + b*-1. Let i be (10\/z)\/(2\/(-3)). Solve 3*v - 40 = -2*v + 5*q, i*v = -4*q + 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6420, 6381, 6354, 6345, 6360?\n\"Answer: x**3 - 46*x + 6465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -b - 13, -4*b - 4*l + 0 = -8 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 10936319, 21872629, 32808925, 43745207, 54681475, 65617729, 76553969?\n\"Answer: -7*f**2 + 10936331*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - -2)*(1 + -1). Let t = v + 2. Let s(h) = t*h + 1 - 3*h - 3. Give s(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 4:25 PM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ybh when three letters picked without replacement from bymbbyhbbmbb.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1 + sqrt(931) + -1 - (sqrt(931) + 0 + -3))**2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 222 and 300768042?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 4.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1144, 1145, 1146, 1147, 1148, 1149?\nAnswer: 1150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 108 = -2*l. Let z = l - -68. What is the remainder when z is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7342 != 190?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -140*g**2 + 291*g - 463. Calculate b(4).\nAnswer: -1539","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1868198966 to the power of 1\/2, to the nearest integer?\nAnswer: 43223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 82 and 144714502.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (3*1 - (-19023)\/4476) + (-9 - 3)\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 6*r**3 + 10*r**2 - 9*r + 15. Let g(x) = 5*x**3 + 11*x**2 - 10*x + 14. Let t(a) = -7*g(a) + 6*v(a). Calculate t(16).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilometer in centimeters?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -9*h + 242. Let m(i) = 10*i - 274. Let w(t) = 9*d(t) + 8*m(t). What is w(-24)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 638470 divided by 20.\nAnswer: 63847\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114 is divided by 43?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, s: 1, e: 2, r: 1, m: 2}. What is prob of picking 1 e, 1 r, and 1 s?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 60905126?\nAnswer: -1\/60905126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 158 + 25*z**2 - 46 - 63 + 336*z - 49 to the form j*z + v*z**2 + a and give j.\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1 + -6 - (0 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13789 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16)\/5 + 5\/25. Let p = 0 - y. Suppose -p*u = -59 - 43. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, e: 6}. Give prob of sequence peep.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17*t + 9*t + 15*t - 1)*((3*t + 4*t - 5*t)*(-1 - t + 1) - 31*t - 11*t**2 + 31*t) to the form b*t**3 + p*t + x + g*t**2 and give g.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -169, -1\/5, 3?\nAnswer: -169","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -34, 5 in descending order.\nAnswer: 5, 2, -5, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1644621549?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r*r**7*r*r**(3\/2)*(r\/r**3)**(2\/29) assuming r is positive.\nAnswer: r**(659\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -85434, -85398, -85326, -85212, -85050, -84834, -84558, -84216?\n\"Answer: x**3 + 12*x**2 - 7*x - 85440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 52\/14 - 2\/(-7). Let k(r) = r**3 - 4*r**2 - r + 5. Determine k(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 136 + -1711?\nAnswer: -1575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4901941 is divided by 5514.\nAnswer: 5509","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 13, -1\/4, -16 in ascending order.\nAnswer: -16, -1\/4, 7, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of 457*p**4\/24 - p**3\/6 + 4*p**2. Let h be k(1). Is h\/108 - 2\/9 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a**2. Let f be x(1). Suppose 5*n = f*r - 94, 3*r - 44 = -5*n - 0*n. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/27 and 91\/900?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -3*p**5 + 75*p**4 + 18*p**3 - 474*p**2 + 609*p - 225 = 0.\nAnswer: -3, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181 = 5*c + 36. Let y be c\/(-66) + (-2)\/(-4). Suppose -3*a + 9*a - 8*a = 0. Does y = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 3*f - 18 = 0. Let p = 16 - f. Calculate the least common multiple of p and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74470?\nAnswer: 2, 5, 11, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1138 or 1127?\nAnswer: 1127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/511 + -1027\/2555. Let n = -0.19 - 15.81. Let o = -10 - n. Which is the nearest to 1\/2? (a) -0.5 (b) p (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6566614*b**3 + 4506637*b wrt b.\nAnswer: 39399684*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 97*y - 22. Let v(j) = -j**2 - 115*j + 24. Let l(a) = -7*i(a) - 6*v(a). Give l(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -57 - -81. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pcccccxcctbxtt. What is prob of sequence px?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*a = 4*q + 56, -2*a = 3*q + 52. Let r = 7 + q. Let u = -6 - r. Calculate the highest common divisor of 12 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-11)\/p)**(2\/21))**(-41) assuming p is positive.\nAnswer: p**(328\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 10, -4*s = 5*j - 2*j - 826. Suppose -o - o + s = 0. Does 26 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -3404 - 751. Let w = a - 878. Suppose 7*y - 991 = w. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81842, 327375, 736598, 1309511, 2046114, 2946407?\nAnswer: 4010390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1117702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 2)*(-2 + 0 + 1)*(-6 + 4 + 1)*(3*o - o - 3*o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -4*l**2 - 19*l - 13. Let z be -3*8\/(-2) - (-336)\/(-56). Let m(x) = -2*x**2 - 9*x - 6. Determine z*d(i) - 13*m(i).\nAnswer: 2*i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*m**3\/4 - 57*m**2\/2 - 237*m\/4 + 135.\nAnswer: -3*(m + 5)*(m + 9)*(3*m - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 960 and 55948800.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.21, -2, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(-9 - -5 - (-2)\/2). Sort h, -1, -5, -2 in descending order.\nAnswer: h, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 168904 and 53028?\nAnswer: 1964","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 12*i**2 + 11*i. Let z(v) be the first derivative of -4*v**3\/3 - 2*v**2 + 117. Give 4*m(x) + 11*z(x).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 10*g**3 - 7*g**2 + 7*g + 2. What is v(3)?\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 63 - 16*k**4 - 63 + (k + 3 - 3)*(0 - 2 + 0)*(k**3 - 2*k**3 + 3*k**3).\nAnswer: -20*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34 + 124. Let g = 113 - r. Calculate the remainder when 2\/(-4) - 162\/(-4) is divided by g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52682)\/994 + 2*22 + 11*-1.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42296 = 37*f - 4761979. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6034845353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 8.103717 micrometers?\nAnswer: 8103.717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 24?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - f - f + f + f + (5 - 4 + 0)*(-2*f + 3 - 3) - 2*f - 6 + 6)*(2*f**2 + 2 - 2) as j*f + l*f**2 + x + h*f**3 and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 160708 and -25339.\nAnswer: 135369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 83 + -78.9. Let x = 0.1 - z. Let q = 8 + -9. Which is the second smallest value? (a) x (b) -0.4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j + 19. Suppose 66 - 20 = 2*p. Let l be u(p). Which is the closest to 2? (a) 4 (b) -2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 32233389, 32233391, 32233393, 32233395, 32233397?\n\"Answer: 2*v + 32233387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 3*m = -4*k + 22, -3*m = -k + 8 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114305069.\nAnswer: 114305069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3523 - -4100. Is 37 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 3 - ((-87 - -153) + -144)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 4*s**2 + s + 4. Let h be w(-4). Suppose 4*p = u + 4*u - 70, h = 4*p + 3*u + 54. Is 8 a factor of (34\/(-5))\/(6\/p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 27, 54, 93, 144?\nAnswer: 207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j - 5. Let a = 96 + -104. Let x(p) = -3*p - 8. Let w(f) = a*b(f) + 5*x(f). Let o(d) = 4 - 8 + 4 + 26*d. Give w(o(v)).\nAnswer: 26*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 0 + sqrt(125))**2.\nAnswer: 40*sqrt(5) + 141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 36743149, 36743146, 36743141, 36743134, 36743125, 36743114, 36743101?\n\"Answer: -a**2 + 36743150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -18923029 to the nearest 1000000.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 4151503?\nAnswer: 4151500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*r = 84 - 30. Let k(u) = 2*u**3 + u + 2. Determine k(r).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -s**2\/2 - 30. Let h(v) = -v + v + v - 5*v**2. Let z(w) = h(w) - 3*i(w). Find the second derivative of z(q) wrt q.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -2. Suppose -2 = -t*q + 7. Let c(o) = 3*o**2 + o - 2*o**2 + q*o**2 - 2*o**2. Give c(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -211c (base 14) in base 13?\nAnswer: -27a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 40\/9 in -0.5, 0, -0.3, -15, -0.9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/4*78\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 4*h + 6*h**3 - 5*h**3 + h**2 - 2*h**2 - 3*h. Let g(r) = -6*r**3 + 4*r**2 - 5*r. Calculate -g(i) - 5*q(i).\nAnswer: i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of l**4\/4 + l - 83. Let k(i) = 0*i**2 - i + i - 2*i**2. Give j(k(f)).\nAnswer: 12*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(-8)\/(-28) + (-44473)\/(-7). Suppose -4*g = -2*t + t - 150, 5*g - t = 188. Suppose 7*d = g + b. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -393865 smaller than -393867?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -49?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50\/165*2)\/(354\/531).\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54, -52, -50?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 224045 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -73379.74 rounded to the nearest one thousand?\nAnswer: -73000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n + 4. Let m = 1 + 3. Let o(l) = 22 + m*l + 8 - 9. Let y(i) = 2*i + 10. Let h(j) = -3*o(j) + 5*y(j). What is 2*h(f) + 7*q(f)?\nAnswer: 3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) + -1 + sqrt(11) - -2*(-4 + sqrt(11))) + (0 + sqrt(11) + -1 - (0 + sqrt(704) + sqrt(11))))**2.\nAnswer: -20*sqrt(11) + 111","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 23859497 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3 + (sqrt(5) - sqrt(5)*1)) - (sqrt(15)\/sqrt(27) + -2).\nAnswer: -sqrt(5)\/3 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -7*c + 56. Suppose c*s = s + 1150. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + h = -2*m - 12, -3*m + h = -4. Let x be -5*(-1 - 21\/(-15)) + 4. Suppose 2*d - 8 - x = m. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from efwfeffcc. Give prob of picking 1 e and 1 w.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 8:54 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 140.0123 + -140. Round p to 3 dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2209303515?\nAnswer: 3, 5, 89, 683, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2 + 100828*j - 504040.\nAnswer: -4*(j - 25202)*(j - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/68 and 83\/7108?\nAnswer: 120836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37079583, -37079585, -37079587, -37079589, -37079591, -37079593?\nAnswer: -37079595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-91*p + 6412 - 6412)*(-2*p**2 + 0*p**2 + 5*p**2).\nAnswer: -273*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-13 - (-2632)\/245)*-7 - (-1 - -12). Find t such that -2\/5*t**4 - 12\/5*t**3 + 8\/5*t - 18\/5*t**2 + z = 0.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54993437 - 460659?\nAnswer: 54532778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 719 - -12722.\nAnswer: 13441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1732 - 1726. Let n(a) = a - 1. Let y be n(3). What is the third derivative of 3*g - 3*g + 32*g**3 + 30*g**y + l*g**2 wrt g?\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -82637 - -82640. Let u be (16 - 3) + 0 + -1. What is the highest common divisor of u and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17 or 7?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6004411, 12008824, 18013239, 24017656?\n\"Answer: y**2 + 6004410*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dkyyzdh. What is prob of sequence dkzh?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/3*(-2 - -5). Suppose 3*q + 5 = m*q. Is 4 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - v**2 - 4*v + 4. Let f be j(3). Let u = -10 + f. What is the derivative of -i - 1 + 3*i + u*i - 4 wrt i?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -2\/27*d**3 + 0 - 2\/135*d**5 - 3*d**2 + 0*d + 5\/108*d**4 + 1\/540*d**6. Factor q(m).\nAnswer: 2*(m - 2)*(m - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 6*w**2 + 4*w - 8. Let b(j) = j**2 + 6*j - 10. Let u be (2 + 3)*24\/(-15). Let n be b(u). Is q(n) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2153 + 0.1153. What is the closest to 0.2 in -2\/11, -6, o, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 1276 - 1236 = 2*m, -4*m + 5*u = -15 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20774 - 7020*q**3 - 20774 + (-3*q + 5*q - 4*q)*(2*q**2 - 2*q**2 + q**2).\nAnswer: -7022*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1065?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3*s = -r - 32, -4*r - 25 = -3*s. Let i(n) = n**3 + 6*n**2 - 6*n - 12. Let h(j) = j - 1. Let w(d) = 4*h(d) - i(d). Calculate w(r).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1937, 1929, 1919, 1907, 1893?\nAnswer: 1877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ay when two letters picked without replacement from zzvyhhazyzyhhhbavhzz?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 339463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-3)\/(-36)*410\/41.\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -643705.9044 to the nearest 10.\nAnswer: -643710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {g: 1, t: 3, k: 16}?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**5 + 3485*u**4\/3 + 75286*u**3\/3 + 167698*u**2 + 340623*u + 95823 = 0.\nAnswer: -9, -3, -1\/3, 1183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 136\/88*-4 - (-4)\/22. Let d = 9 + -5. What are the prime factors of (t\/(-4))\/(d\/88)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) 2 (c) -0.3 (d) -0.0404\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/15204 and 5\/1277136?\nAnswer: 1277136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -221, -451, -685, -923, -1165?\n\"Answer: -2*k**2 - 224*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 10 = -t, -11*h - 211 = -12*h + 2*t - 211 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 6:18 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 36938433.34 + 41.55.\nAnswer: 36938474.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vzzv when four letters picked without replacement from vvzzzvvvvzvzvv?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2401 - -2405. Solve 12*d = -2*q + 14*d - r, 0 = q - 2*d for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of 4*g**3 - 7 - 5*g**3 - 2*g**3 - 9 + 22*g. What is the first derivative of l(r) wrt r?\nAnswer: -18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i. Let l(b) = -114*b - 2. Give s(l(d)).\nAnswer: -342*d - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 - y**3 + 2*y**2)*(-27 + 10*y + 27)*(y + 6*y + y) + (-2*y**5 - 5*y**5 + 3*y**5)*(-2 + 0 - 1).\nAnswer: -68*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -378898 + -36943.\nAnswer: -415841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 28 (b) -4 (c) -0.1 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 39 - 68 + l + 26. Let a(c) = 5*c - 86. Let b be a(18). Calculate k(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(6\/5)*i*i**(1\/16)\/i*i**15\/((i**(-24)\/i)\/i*i) assuming i is positive.\nAnswer: i**(3301\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1076467*w**4 - 5*w**3 - 172185*w**2 + 49*w.\nAnswer: 25835208*w - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4772*k**3*z + 10198*k**2*z + 11*k*z - 4618*k + 155*z wrt k.\nAnswer: 28632*k*z + 20396*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/5, 78, -26, 4\/2129?\nAnswer: 78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -757\/3 - -2839\/12. What is the common denominator of z and 99\/14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l. Let q(b) = 3*b. Let j be 1\/(-4) + (-51)\/(-12). Let x = j + -4. Suppose x*k - 2*k = 8. What is k*q(c) - 5*f(c)?\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 7*y**3 - 71*y**2 + 167*y - 99. Calculate q(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -23142 divided by -6.\nAnswer: 3857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.09, 5, 0.1, 66, -0.7 in ascending order.\nAnswer: -0.7, 0.09, 0.1, 5, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 367719 to the power of 1\/2, to the nearest integer?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1277*x + 4 - 4 + 1265*x to j + a*x and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, y: 1, l: 1, b: 7}. Give prob of sequence ylgb.\nAnswer: 7\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 874 is divided by 235?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of 10*a**7\/7 - 2*a**3\/3 + 5. What is the third derivative of r(q) wrt q?\nAnswer: 1200*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 150\/6*6*(-4)\/(-120).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -254\/7 and -522\/59 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 44249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.04 - -0.76. Let t = 1.8 - v. Which is the smallest value? (a) 0 (b) t (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10382 times -302?\nAnswer: -31.35364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 - -45 - (0 + -1 + -8).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 151524421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j**3 + 63*j**2 + 66*j + 9. Let l be c(22). Solve 53 - l = -11*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 4*q - 6. Let t be n(4). Let s be t\/3*(-6)\/(-5). Solve -k = s*k + 25 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/17, -2\/9, 0.3, -1.24?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4b - -4?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/7 (b) 2\/13 (c) -156 (d) 3 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, f: 1, d: 2, s: 2, q: 6}. Give prob of picking 1 s and 2 d.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 21. Let f = 32 + v. Calculate the highest common divisor of 38 and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 10 = 0, -6*n = -5*i - n + 200. What is the smallest common multiple of 8 and i?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.09548 (b) -0.1 (c) 4\/5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -54 + 63. Suppose 0 = o*q + 15 + 48. Let g(v) = 2*v + 7. Determine g(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -145614, -145617, -145620, -145623, -145626?\nAnswer: -145629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 q when three letters picked without replacement from jvjcqcj?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 h, and 1 b when three letters picked without replacement from hbphbhphhrhbphbho.\nAnswer: 12\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/3*90\/8. What is the second derivative of -13*f - 2*f**2 - 1 + g*f**3 + 16*f**3 - 3*f**3 + 95*f wrt f?\nAnswer: 258*f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 103983*o**4 + 97180*o**2 wrt o.\nAnswer: 2495592*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g - 3 + 3*g + 2*g + 2*g.\nAnswer: 2*g - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bgwbbbggggwhggbw. What is prob of sequence wg?\nAnswer: 7\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 800.8589um to meters.\nAnswer: 0.0008008589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*j**2 + 4690707*j + 145667111 with respect to j.\nAnswer: -20*j + 4690707","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p + 4. Let i be f(2). Suppose 0*v = 2*v - i. Solve -4*o + 0 = -v for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/6 - (-16)\/3. Solve -3*l + 15 = -r*v, l = v + 2*v + 5 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 76 + -59. Let a = v - 13. Suppose 7 = 2*i - 0*i + t, 5*t = 3*i - a. Solve 0 = 2*f - i*y - 18, -4*y + 15 = -4*f + 43 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1164 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + r = 6*r + 15, 5*j - 9 = 3*r for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2*h = 496 - 58, -3*s - h = -329. Let k = 195 - s. Find the first derivative of 16 + 168*y**3 - k*y**3 - 85*y**3 wrt y.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2451673515 to the power of 1\/2, to the nearest integer?\nAnswer: 49514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 541*u + 5. Let b(m) = 108*m + 1. Let c(t) = -5*b(t) + w(t). Let y(r) = r**2 - 211*r + 2. Determine c(y(o)).\nAnswer: o**2 - 211*o + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*q**4 - 16*q**3 - 284*q**2.\nAnswer: 432*q - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*l**4 - 23*l**5 + 5*l**4 - 14*l**5 + 19*l**5 + 6*l**5 - 2*l**3 + 2*l**3 - 2*l**5 + (-3 - 2*l**3 + 3)*(2*l**2 + 2*l**2 - 6*l**2).\nAnswer: -10*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 48133 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -88576 or -8237488\/93?\nAnswer: -88576","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 296 divide 1903654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 7:49 PM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 94640129 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5677\/(-42172))\/(70\/(-16)).\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + x - 4 - 5 = 0, -g - 4*x + 15 = 0. Let l be ((-1)\/(3\/21))\/g. Suppose 0 = 8*d - l - 1. Which is greater: 5 or d?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (3 + 2*1*sqrt(833))**2.\nAnswer: 84*sqrt(17) + 3344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*b - 262471 = -62191. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -7 + 0*1\/(-2). Let q(l) = -l**3 - 6*l**2 + 2*l + 15. Let u be q(-6). Sort v, -3, u in decreasing order.\nAnswer: u, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 40.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(34)\/(sqrt(72) - (sqrt(72) - (sqrt(72) + sqrt(72) + 1*sqrt(72)))).\nAnswer: -sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12113*t + 6060*t + 6057*t.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/20 and 73*(-5)\/30 + 10\/(-75).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - m + 79*m**2 + m - 11.\nAnswer: 79*m**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-3) + 14\/((-154)\/55)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-56)\/48*-3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 - ((-4)\/7)\/((-33)\/(-132))*7\/2?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/7, -39, 1\/6, -2\/5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*y + 191 - 727 = 0 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + x - 1. Let b = -1 - -1. Let d be n(b). Let w(t) = t**2 + t. Let v(o) = -12*o**2 - 5*o + 1. Let l(m) = -v(m) - 6*w(m). What is l(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*m**3*q**2 + m**3*q*s**2 + m**3 - 7*m**2*q**2*s**2 - 2*m*q**2*s - 7*m*q*s + 6*m*s**2 wrt s?\nAnswer: 2*m**3*q - 14*m**2*q**2 + 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 0)*51\/6. Let f be (n - -5)\/((-4)\/(-6)). Find the third derivative of 9*r**5 + f*r**3 - 33*r**3 - 10*r**2 wrt r.\nAnswer: 540*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 175*j - 1743. Let t be o(10). Let x(h) be the first derivative of -t + 1\/3*h**3 + 0*h + 0*h**2. Let s(i) = 14*i**2. What is s(x(d))?\nAnswer: 14*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.5 - -1. Let u = -3334043.5000023 - -3334044. Let k = u - f. What is k rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -173751 - 0.4.\nAnswer: -173751.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence te when two letters picked without replacement from {t: 1, e: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 4:46 AM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 2*n + 36. Let q = n + -11. Let a be (q - (-1 + 1)) + 0. Solve 9 = 2*i - a for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 3*d = 424, 0 = 2*a + 5084*d - 5083*d - 171. What is the remainder when 1003 is divided by a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 4 - 2*r + (-3*r + 15*r + 6*r)*(1 + 1 + 0) + (1 - 4 + 1)*(-3*r + 2*r - 3*r) to the form f + a*r and give a.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*s - 4*d + 70 = 0, -4 = -4*s - 156*d + 160*d for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3 = -0*f. Suppose -f*w = -3*j - 3, 0 = w - j + 5*j - 21. Let t(p) = -p - 5. Let q be t(-6). Solve 4*k + q = w for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and -26269.971?\nAnswer: 26265.971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b**3 - 2. Suppose 4*u = -k + 4*k + 14, 3*u = -2*k - 32. Let p(h) = -2*h**3 - 1. Determine k*p(m) + 6*s(m).\nAnswer: 2*m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*w**4 - w**3 - 88*w**2 - 40*w + 6332945.\nAnswer: 40*w**3 - 3*w**2 - 176*w - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -322*h**2 + 151*h**2 - 701*h**2 - 1037*h**2.\nAnswer: -1909*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107352 is divided by 217?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 392*q**2 + 3032568*q + 5865094818 = 0.\nAnswer: -54153\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 0 - 14*i - 1 + (-3*i + 0*i + 5*i)*(4 - 2 - 1) + 3 - 5*i + 2 - 4 to t*i + q and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of o**5\/20 + o**4\/2 - o**3\/6 + o**2 + 7*o + 8. Let j(f) be the first derivative of n(f). Is 11 a factor of j(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 15 = h - 5, -h + 4*f - 25 = 0. Let b be (h\/(-4))\/(4\/16). Let o = 8 - b. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**3 - 446*u**2\/5 + 6989*u\/5 - 276 = 0.\nAnswer: 1\/5, 20, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -5*h - 3. Suppose 3*o = 5*j + 10 + 3, 5*o - 5*j = 15. Suppose -y - o = 3. Let i be n(y). Solve -5*s - 3 - i = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -635 divided by -12\nAnswer: 635\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*b + 3*b - 2*b**4 - b)*(-31 + 31 + 54) as y*b + k*b**3 + x*b**2 + q*b**4 + j and give y.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**2 - 3*z - 2. Calculate the least common multiple of 4 and m(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.689 + -3.525. Round m to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -t**6\/240 - t**5\/80 + 23*t**3 - 55. Let d(o) be the third derivative of k(o). Factor d(q).\nAnswer: -3*q*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2\/7 - 1368*c\/7 - 12069\/7.\nAnswer: -3*(c + 9)*(c + 447)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/11 (b) -2\/5 (c) 3\/4 (d) -56\/331 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215278 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1433 * -3.\nAnswer: 4299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 88904?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.609428 rounded to 2 dps?\nAnswer: -3.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11021110 - -21?\nAnswer: -11021012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.159011 rounded to three decimal places?\nAnswer: -0.159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 81*r - 1017. What is k(-92)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -49*f + 1. Let n be h(1). Let a = -86 + 167. Let x = a + n. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 13\/5 of a tonne?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186002 + 372004 = -2*g - 2*d + 185992, -g - 65 = 11*d for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1144*q**3 - 404228*q**2 + 787790153*q.\nAnswer: 6864*q - 808456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 14 = -4*v - 6, v - 36 = -5*y. Is 2\/8 + 430\/y a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -643 and -647 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 548452 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: Let t be (-5 - (-6 + 2))\/(4\/(-1224)). Suppose 2*v - 4*v + t = 5*k, -4*k = -2*v - 252. Calculate the remainder when k is divided by 51.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + -140. What is the remainder when 52 is divided by (-8)\/10 - k\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 i when three letters picked without replacement from qqirrqrqqoqqooroimmq?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*b**2 + 0*b**2 + 2*b**2)*(-11*b - 13 + 13)*(-b**2 + 2*b**2 - 3*b**2).\nAnswer: 176*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4\/11))**(-49)*i**(8\/7)*i\/((i*i\/i**0)\/i) assuming i is positive.\nAnswer: i**(1460\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/30)\/(6486\/(-92)*1\/3)\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5673.\nAnswer: 3, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1578.22258 times -1\nAnswer: -1578.22258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -25*o**5\/4 + 1212997945*o**4\/4 - 3396394119*o**3\/4 + 3347874163*o**2\/4 - 339639406*o + 48519915 = 0.\nAnswer: 2\/5, 1, 48519915","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.06 + 0.032. Let m = 0.128 + s. Let i = 0 - 3. Which is the closest to m? (a) -1 (b) 5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35*p**4 + 18417*p**3 + 12*p**2 - 122767 wrt p?\nAnswer: 840*p + 110502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1285*0.029227.\nAnswer: 37.556695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -o - o. Suppose 5*a = -3*h - 19, -a + 2*h = 3*a + 2. Which is smaller: o or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -1 - 3 - a + 1. Let z(j) be the second derivative of -j**3\/3 - 2*j**2 + 302*j. Let m(v) = -4*x(v) + 3*z(v). Let u(l) = -28*l. Calculate m(u(b)).\nAnswer: 56*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-2*(-40)\/(-8)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c - 4*v - 34 + 22, -2*v = 4*c + 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 93.7 + -94. Let i = -0.265 - n. Let p = 0.035308 - i. Round p to five decimal places.\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99689.16m in millimeters?\nAnswer: 99689160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 48.1807?\nAnswer: 14.45421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 407, -5, -4, -1\/5?\nAnswer: 407","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 0.46?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -13894*q + 138862. Give a(10).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -378884772?\nAnswer: -378884772","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193517501?\nAnswer: 43, 4500407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**3 + 0*a**3 + 3*a**2 + 3*a**3 + (10*a + 4*a - 7*a)*(4*a - 2*a - a)*(4 + 2*a - 4) to z + c*a**3 + q*a + k*a**2 and give c.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -4*g**4 + 698*g**3\/3 + 2056*g**2\/3 + 1102*g\/3 - 244\/3 = 0.\nAnswer: -2, -1, 1\/6, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -12034 (base 5) to base 14\nAnswer: -47c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.2 - -0.5. Let m = x + -3.3. Which is the third smallest value? (a) 2 (b) m (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -1075*g. Let p(f) = -679*f**2. Determine p(n(r)).\nAnswer: -784669375*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1751340 to the nearest one hundred thousand.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29372, 29354, 29334, 29312, 29288, 29262?\nAnswer: 29234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*t + 4 - 3)*((3*t - 5*t + 4*t)*(-7*t + 5*t + 7*t) - t**2 + 0*t**2 + 0*t**2 + (-5*t + 0*t + 6*t)*(5*t - 3*t - 3*t) + 2*t**2 + t - t).\nAnswer: 20*t**3 + 20*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - -3*1*sqrt(102)) + -2*(sqrt(102)*-1 - sqrt(102)))\/(sqrt(48)\/(sqrt(968) - ((sqrt(968) - sqrt(968)*4) + sqrt(968)))) + 3.\nAnswer: 3 + 264*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 564812 is divided by 85.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 236 and 16?\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 568\/(-28) - 6\/(-21). Let v(q) = -q**2 - 22*q - 36. Let a be v(z). Suppose a*m + 5058519 + 461481 = 0. Round m to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*h - v = -73*h + 30, -4*h + 5*v = 40 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3445 + 7?\nAnswer: -343a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 278 - 469. Let q = -134 - z. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -6 - 0. Let d = -1 + z. Suppose 4*r - 3*c = 88, d*r + c = -4*c + 18. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 l when three letters picked without replacement from ffdfzffffzfzllflzd.\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/10528 and 31\/2208?\nAnswer: 726432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -97*i**5 + 2*i**4 - i**3 - 3*i**2 - 5213 wrt i.\nAnswer: -5820*i**2 + 48*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 94*u**2 + 395*u - 292. Let s be k(98). Solve 0 = -2*n + 3*l - 10, s*n + 40*l - 42*l = -8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292265701395 plus -4?\nAnswer: 292265701391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 26*a**2. Let t(i) = 3*i + 177. What is t(o(k))?\nAnswer: 78*k**2 + 177","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3303 - 3300.946. Round q to one dp.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 337099 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 2*t + 47031 = 0, 3*u + 2*t = 14882 + 13327. List the prime factors of u.\nAnswer: 3, 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -14, -9, 16, 61, 126, 211, 316?\n\"Answer: 10*p**2 - 25*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -438*v**6 + 4373*v**4 + v**3 + 6*v**2 + 896709?\nAnswer: -52560*v**3 + 104952*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4118880 and 10320?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 89 + -56. Let a(n) = n + 8. Let y be a(-6). Find the second derivative of -y*c**5 - 3*c + m*c**3 - 33*c**3 wrt c.\nAnswer: -40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -8\/61 (b) -5\/3 (c) 3 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 5*v + 4 = 4*m, 2*v = 4*m - 16. Solve 2*h + 0*h = -m for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 0.1 (c) 46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1275437 + -5132\nAnswer: 1270305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(4 + ((sqrt(1377) + 1 - sqrt(1377))*-4 - (-5 + 2*sqrt(1377)))))**2*4.\nAnswer: -18000*sqrt(17) + 553300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 56 + 31. Suppose -7*i + 3*i = h*a - 41, -21 = -5*a + i. Let r = -1 - -1. Solve -4*x - 4*t + 3*t - 13 = r, a*t = -5 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 21 = -24. Sort y, 2, -1.\nAnswer: -1, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -79\/3 (b) -5854.7 (c) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vjwj when four letters picked without replacement from {j: 3, f: 6, v: 3, w: 1}.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*x + 4*x - x)*(27 - 6 - 63)*(-3*x + x + x) to g*x**2 + w + n*x and give g.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -171 (b) 5 (c) 18 (d) -3 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 4:28 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -0.08 (b) -0.1498 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 6*r + 75. Determine w(-14).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -2*g + 964, 5*g = -4*f - f + 2385. Suppose 5*z = 10, -3*v - 4*z - g = 2*v. Let m = 151 + v. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59318419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-108*w**3 - 183*w**3 - 207*w**3)*(-1 + 10 + 4 + 2 + 0) to x*w**3 + g*w + f + j*w**2 and give x.\nAnswer: -7470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -12699968.\nAnswer: -1\/12699968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyyykkyykyy. Give prob of sequence kyk.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*w - 13602 - 481323 = 0. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 2 + 1 + 5*y + 1. Let t be l(-5). Solve 0 = 2*p - t*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -10\/743093?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 2\/17, 2\/19, 4, 9\/13 in ascending order.\nAnswer: 2\/19, 2\/17, 1\/4, 9\/13, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 27580000 rounded to the nearest 1000000?\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v**4 - 9*v + 9*v + (-v + 3*v + 0*v)*(3*v**3 - 3*v**3 + 2*v**3) + (-3*v + 3*v - v)*(19*v - 7*v + 34*v - 2*v**3) - v**4 + 20*v**3 - 20*v**3.\nAnswer: 9*v**4 - 46*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + (36 - -16) + -62?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -748235*v**2 + 26591557*v**2 - 3992047*v**2 + 7261582*v**2.\nAnswer: 29112857*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 85 + -49. Calculate the remainder when -1*(286\/4)\/((-6)\/12) is divided by g.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4365?\nAnswer: 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - -8)*1 - 2. What is the remainder when 20 is divided by 7 + 3 - (2 - j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 221564 and 328?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 179816.27?\nAnswer: -539448.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46077, -90969, -135861, -180753, -225645, -270537?\nAnswer: -315429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 24 or 9?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-16)*(-4)\/30?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11615 is divided by 399.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -154c41 + -3?\nAnswer: -154c44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 3:26 PM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 2:34 AM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 8) to base 2.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -628 divided by -1085?\nAnswer: 628\/1085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 2910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 83244.11ml?\nAnswer: 83.24411","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve 21*t + 12 = -3*u + 16*t, 4*t + 9 = -3*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16936547 plus -0.0727447?\nAnswer: 16936546.9272553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1005*d + 993*d + 7 - 15 + 8.\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25448 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1203717.5 to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3845468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + -10. Let k(u) = -10809 - u**2 + 3*u - 10793 + 0*u + 21602. Calculate k(v).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b**4 + b**3 + 9790430*b - 26033954.\nAnswer: -4*b**3 + 3*b**2 + 9790430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by 132.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2241?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 189366852?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -6815 and -61330\/9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) + (sqrt(84)*-1*2 - sqrt(84)) - sqrt(84))\/(3*sqrt(24)\/sqrt(4)))\/(1*(1*sqrt(175) + sqrt(175) - (sqrt(63) - sqrt(252))\/sqrt(9))).\nAnswer: -sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 67529?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-9))\/(8\/(-30))*-6. Let b be (-24)\/l + (-2)\/(-5) + 0. Suppose 2*f = b*t + 10, 5*f - 2*t - 6 - 19 = 0. Solve f*x = x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 16) in base 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2 = -0. Let l(r) = r**2. Let u(g) = g**2. Let z = -88 - -85. Calculate d*u(w) + z*l(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -105 - -61. Let f = 43.99924 + g. What is f rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -12*g**2 - 12 + 12*g - 11*g**2 + g**2 - 32*g**3. Let z(t) = -13*t**3 - 9*t**2 + 5*t - 5. What is -5*x(l) + 12*z(l)?\nAnswer: 4*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24181 = 3*s - v, 2*s + 886 = -3*v + 16992. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 AM and 4:06 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or -44518\/5?\nAnswer: -44518\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 6*l - 3*l. Suppose 3*o + l = 40. Let p be -28*(o + 2\/(-4)). Solve -2*d = 5*j + p, -3*d - 3 = -4*j - 5 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010 + 100?\nAnswer: 100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -5, 0.1, -1\/8, -1.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 412, 1687, 3820, 6811?\n\"Answer: 429*u**2 - 12*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 23914, 23955, 23996?\n\"Answer: 41*o + 23873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -27*m**2. Let w(u) = -7*u**2 - 3*u - 6. Let v(t) = 13*t**2 + 5*t + 10. Let x(h) = 3*v(h) + 5*w(h). Calculate x(s(g)).\nAnswer: 2916*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2.2*-415\nAnswer: 913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 52236 to the power of 1\/2, to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 477.1 (b) 0.4 (c) -2\/9 (d) -2 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 4.87, 10?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25185.246 rounded to the nearest 10?\nAnswer: 25190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - (-10 + 26)) + 0 + 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62380697?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -337*u**2. Let n(r) = -51*r + 2. What is w(n(j))?\nAnswer: -876537*j**2 + 68748*j - 1348","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k**2*v**2 - 5*k**2*v + 310417*k**2 - 12*k*v**2 - k + 51002*v**2 wrt v?\nAnswer: -2*k**2 - 24*k + 102004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 100568497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 39324 and 4002?\nAnswer: 904452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**4 - 4 + 4 + 0*u**4 + 0*u**4 + 2*u**4 + (-4*u**2 - 2*u**3 + 4*u**2)*(2*u - u - 3*u) - 1101622*u + 1 + 15*u**4 + 4 + 1101628*u.\nAnswer: 23*u**4 + 6*u + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 251 and 255 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1731030.\nAnswer: 2, 3, 5, 7, 8243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 7*s - 4. Let i = 9 + -5. Let t be i\/(-4*(-4)\/(-8)). Let w be (14\/(-21))\/(t\/18). Determine x(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 4*o**2 - 41*o + 15. What is i(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*y**3 + 5*y - 31*y**3 - 5*y.\nAnswer: -21*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 4. Let i be (-68)\/(-51) + (-1 - 15\/(-9)). What is the third derivative of -9*x**i + 6*x**5 + 7*x**2 + 2*x**4 - 2*x**u wrt x?\nAnswer: 360*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*g - 1 - 12 + 5 + 1 + 3 to the form v + d*g and give d.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, x: 2, j: 5}. Give prob of picking 2 m and 1 j.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -3*q - 3, 3*q + 5 = 2*n - 2*q. Let v be ((-24)\/(-10))\/(1\/5). Solve 3*a + n + v = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/4 of a second?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 7*x**2 - 2*x - 5. Let u be t(-7). Let b = -28 - -29. Let j(d) = -10*d - b - 2 + u*d. What is j(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - -21) + (3 - (11 + -2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 51217503.7*3\nAnswer: 153652511.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1557434.80059 + -1557442. Let t = -19 + 11.8. Let v = w - t. What is v rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/12 and -79\/739218.\nAnswer: 1478436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 8, 29, -4, 2, -406, 30 in increasing order.\nAnswer: -406, -4, 1, 2, 8, 29, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.126 + 0.596. Let g = 0.67 - z. Which is the biggest value? (a) -0.3 (b) g (c) -47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80716 is divided by 1832.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -3694134 to the nearest one thousand.\nAnswer: -3694000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 3\/(-21))*9*(-693)\/297.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/350 and -6\/8886125.\nAnswer: 124405750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -109, 0, 1, 44, -1 in descending order.\nAnswer: 44, 1, 0, -1, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -16, -2\/7 in descending order.\nAnswer: -0.1, -2\/7, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19799.039895 + 19799. What is a rounded to 4 dps?\nAnswer: -0.0399","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 0*w = -2. Solve -4*z - 4*d = 3 + w, -2*d - 16 = -5*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 61*l - 25 = -57*l, 0 = 4*d - 4*l - 28 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11325098?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7686\/17, 7, 10 in decreasing order.\nAnswer: 10, 7, -7686\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 7*i**3 + 11)*(-i**2 + 5*i**2 - 3*i**2 + (-7*i + 0*i + 3*i)*(-i - 1 + 1)).\nAnswer: 35*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c + 11. Let q(k) = -3*k**3 - 98*k**2 + 34*k + 35. Let l be q(-33). Let i be x(l). Solve i*p = 9*p - 6 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**3 + u**2 + u - 5. Let f(r) = 1. Let o be 0 + 1\/(3\/(-15)*1). Give o*f(n) - h(n).\nAnswer: 2*n**3 - n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-11)*h*(h\/(h\/h**(-2\/13)*h))\/h*(h*h**(-4\/7))\/(h\/(h**(-9)*h)) assuming h is positive.\nAnswer: h**(-1886\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b + 7*b - 15 - b. Let m(l) be the second derivative of l**3\/3 - 7*l**2\/2 - 105*l. What is -9*m(v) + 4*x(v)?\nAnswer: -2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-15)\/9)\/(-5))\/((-4)\/(-48)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/7 (b) 1\/3 (c) -5 (d) 1\/7 (e) 9\/22\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of -k**4\/8 - k**3\/3 + 4*k**2. Suppose -36 = l + 3*l. Let m(v) = -13*v - 8. Give l*s(q) + 2*m(q).\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -328*y**2\/3 + 4910*y + 450 = 0. Calculate y.\nAnswer: -15\/164, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of j**2\/2 + 6*j + 4. Determine g(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a milligram in micrograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 0.3 (b) 1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o. Let z be 18 - (-15)\/((-225)\/255). Let i(a) = 2*a**2 - 7*a + 4. Give z*i(y) - 6*x(y).\nAnswer: 2*y**2 - y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 127572, 0.01, 1\/5, 2\/3, 2\/7?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 790\/79*3\/5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -31 (b) -0.1 (c) 189\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-21)\/(-14)*(-1 - -7). Solve 3*m + 6 = -k for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -16. Suppose i*f + 0*f - 12 = 0. Let o be 39\/f + (-1)\/2. Let w(v) = -v + 7. Give w(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*t - 10 = 264 + 218 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131212101 + 11?\nAnswer: -131212030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4*z + 3. Let i(y) = y - 1. Suppose -30 = -g - 4*g. Suppose -p - g = -3. Let b(h) = p*i(h) - f(h). Let v(w) = w. Calculate v(b(a)).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 8*a**2 + 5*a + 3. Let v(t) = 15*t**3 + 74*t**2 + 3*t + 39. Let j be v(-5). What is l(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3d817 (base 15) to base 10\nAnswer: -197572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (170 + 33*p - 170)*(-1 + 0 + 0)*(-p - 2*p + 5*p) as z*p**2 + k + i*p and give z.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 9*v**2 + 10*v + 14. Let j be c(10). Suppose -2*s - 5*g - 177 = -3*s, 369 = 2*s + 5*g. Calculate the greatest common divisor of j and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - 4 - -18 - (93\/27 - -5)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1397*w + 95242 - 163203 = 2258*w + 421809 for w.\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**2 + 188283*v + 188280 = 0. Calculate v.\nAnswer: -62760, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 1:49 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 827260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m**3 - 1. Let k(q) = 7*q**3 - 3*q**2 + 3*q + 5. Let d(g) = k(g) + 5*o(g). Let j(u) = -7*u**3 - 7*u**2 + 7*u. Give 5*d(n) - 2*j(n).\nAnswer: -n**3 - n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -4*n**3 - 6*n**2 - 14 - n**2 + 6 + 3*n**3. Let w be b(-7). Let v = w + 11. What is the greatest common factor of v and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - -8*(-22)\/4. Suppose 2*z = r + 26, 4*z - 52 = 3*r + 36. Let j = r - g. What is the smallest common multiple of j and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.4051767 to one dp.\nAnswer: 6.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -4. Suppose -2 + 17 = m*f. Calculate the remainder when (-3)\/(22\/(-8) - -2) is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*t**3 + 224*t**3 + 13*t - 75*t - 119*t**3.\nAnswer: 2*t**3 - 62*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32*g*o*z**2 - g*z**2 - 17*g - 6*o**2*z**2 with respect to o.\nAnswer: 32*g*z**2 - 12*o*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48776184, -48776171, -48776150, -48776121, -48776084, -48776039?\nAnswer: -48775986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-34)\/(-10) + 12\/(-30). Let c be 2\/9 + d\/108. What is the nearest to -0.1 in c, 0.4, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 11:35 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 5*w + 65 = -3*r, -w = 3*r - 106. Suppose -5*t + r = -15. Suppose 7*n - 2*n - t = 0, -3*y + n + 2155 = 0. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -6*v**2 + 11*v - 1 + 3*v + 9*v**2 - 6*v**2 + 2*v**3. Is i(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = c - 169, 4*k - 106 = -2*c + 122. Let h = 162 - k. What are the prime factors of h?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**2 + 27*j + 12. Find the common denominator of r(13) and 9\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.6? (a) -1\/7 (b) 0.1 (c) -1\/4 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4514.526 and -0.1?\nAnswer: 4514.426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3419073 divided by 1139691?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (-77 + 40 - -77).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001702 to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -w - 47, 1424 - 495 = 2*v - 19*w for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -22*l + 1513. Let k be y(69). Let q = 1\/29 + -36\/203. Which is the biggest value? (a) -0.5 (b) k (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 38.5136 litres?\nAnswer: 38513.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 2. Let t = 11499 - 11495. Which is the smallest value? (a) -87 (b) t (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h**2 - 6*h + 39. Let m be c(-10). Let b = -240 + m. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44832.\nAnswer: 2, 3, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-2 - -1) + -2 + 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15558843.\nAnswer: 3, 61, 85021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 + 50 + (3 - -1). Let b(z) = 49 - 95 + v - z. Calculate b(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 528757.\nAnswer: 1586271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(108) + 5 + 4 + sqrt(108) - 6*(sqrt(108) + -4)*2)**2 + 3.\nAnswer: -6360*sqrt(3) + 13612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57095878.\nAnswer: 2, 7, 61, 9551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 100221000220 (base 3) in base 10?\nAnswer: 195396","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2533147 is divided by 361?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2337.525043 + 2337.64. Let z = 0.1165 - t. What is z rounded to 4 dps?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.97 - -0.03. Let j = -1 - -6. Which is the third smallest value? (a) s (b) -2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d - 2. Let p be s(-8). Solve -4*k - 14 = p for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 346 - 1951\/6. Let a be (1\/9)\/((-2)\/(-34804)). Let p = a - 1936. What is the common denominator of p and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -174, -611, -1462, -2865, -4958?\nAnswer: -7879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -800, -3102, -6940, -12314, -19224, -27670, -37652?\nAnswer: -49170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 142654 + -142625. Let x = 291 - 59. Calculate the greatest common factor of v and x.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 42*q + 93. Let t(c) = 2*c**2 + 85*c + 188. Let u(w) = -2*t(w) + 5*y(w). What is the tens digit of u(-41)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 6*u**2. Let h be x(-6). Let w = 2 - h. Suppose 3*c - g - 36 = 7, 18 = w*c + 2*g. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*l + 1. Let w(f) be the second derivative of 5*f**3\/3 + f**2\/2 - 19167*f. Give w(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17524583 to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-1\/10)*y*y**(-8)*y*y*y\/y**3*y*y**0)**(2\/79) assuming y is positive.\nAnswer: y**(-51\/395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 315 and 1033365.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 95120892.0000027 + -95120884. Let x = -10 + 2. Let j = x + r. Round j to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 16 = -5*o. Let j be o\/16*(-1 - 25). Solve b + 0*b + 3 = 0, 3*b = -v - j for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1338, -5553, -12578, -22413?\n\"Answer: -1405*t**2 + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 7 - 3. Let g(w) = 2*w**3 - w**2 + w - 1. Let b be g(q). Suppose -v + b + 3 = 0. Does 2 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19068*a**6 + 7*a**5 - 121*a**2 + 224*a wrt a?\nAnswer: -2288160*a**3 + 420*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*c = -10*c - 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -7 + ((-2870)\/(-49))\/10\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in twenty-nine halves of a millennium?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.33887 minus -0.0810121?\nAnswer: 2.4198821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 4, 20 in descending order.\nAnswer: 20, 4, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*r**4 - 5*r**4 + 4*r**3 + r**4 + (-1 + 1 - r**2)*(-2*r**2 + 0*r + 0*r) + 2*r**4 - 3*r + 3*r.\nAnswer: 5*r**4 + 4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tm when two letters picked without replacement from {t: 1, g: 2, m: 1, j: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((183\/(-1830))\/((-4)\/(-15))).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1\/j)**(-26) assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -m - 6 + 1 - 6 - 1 + 14 - 72*m**2 in the form c*m + d + r*m**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -2*g**3\/3 - 2. Let s(a) be the second derivative of 0*a**2 + 0*a**3 - 2\/3*a**4 - 2*a + 2. Determine w(s(z)).\nAnswer: -128*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -1257*w**2 - 3770*w + 3. Determine h(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 11:23 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 - 30\/(-9)) + 484\/6. Let c = a - -112. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 527273 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -30*b**3 + 39*b**2 + 4112*b. Let t(r) = r**3 - 8*r. Let o(y) = a(y) - 6*t(y). Find the second derivative of o(w) wrt w.\nAnswer: -216*w + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5*q = -4*n - 49, 5*q + 245 = -5*n. Is -48 less than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u - 45 = -23*u. Suppose 2*v + y + 6 - 14 = 0, 3*v = -u*y + 18. Solve -v*f - f = 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 364663158 and 102.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.662303ml?\nAnswer: 0.006662303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fdo when three letters picked without replacement from qdqffovdoxdddqd.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2884\/44 + (732\/915)\/(44\/(-30))?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1096*a**4 - 12*a**3 + 2*a*h**3 - 4218*h**3 wrt a.\nAnswer: 4384*a**3 - 36*a**2 + 2*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7 (b) -35 (c) 2\/3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 165 = k. Let w be ((-22)\/k)\/((-1)\/(-5)). Solve -5*h + h - 36 = 4*n, w*n + 3 = h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 326569992.\nAnswer: 2, 3, 7, 37, 107, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4115 (base 8) in base 4?\nAnswer: -201031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 16 (b) 3\/47 (c) 51\/584\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-10))\/((-10)\/4*(-72)\/(-720)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 674214 is divided by 403?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 774020 to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54644.\nAnswer: 2, 19, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*j - 253 + 78 = 0 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/6 - 8\/12. Which is the third smallest value? (a) 4\/3 (b) 0 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-3) + (-16)\/6. Suppose 3*o + 3*m - 5*m - 139 = 0, 4*o = -4*m + 172. Does 9 divide (-6)\/3 - o\/l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43626 to the power of 1\/2, to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41861081 to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 8 = 4*w + 3*a, -w - 2*a - 6 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104246592*-0.1.\nAnswer: -10424659.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4094789 and 146.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) -1 (c) 0 (d) 14 (e) -20 (f) 406323\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4*(-2)\/12*6. Let h(q) = -8*q - 6. Let g(w) = -3*w - 2. Let o(a) = f*h(a) + 11*g(a). Calculate o(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 + -62\/3. Let b(a) be the first derivative of o*a**3 - 3\/8*a**2 - 1\/4*a - 1. Factor b(l).\nAnswer: (l - 1)*(4*l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 t when three letters picked without replacement from {m: 5, t: 3, s: 2, l: 2}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/200*-100)\/(10\/(-164))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 11*y - 10. Let b be o(10). What is the second derivative of b*m**3 + 0*m + m**3 + m**3 + m wrt m?\nAnswer: 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170987629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1 (b) 4 (c) 2.9 (d) -0.08 (e) -0.6 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -93079 (base 16) to base 9\nAnswer: -1117087","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85.14633cm to nanometers.\nAnswer: 851463300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - o - 3 + (3*o + 4 - o - 6)*(3 - 1 + 4).\nAnswer: 11*o - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 309174?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -u + 5*c + 35, -2*u - c - 14 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -585 divided by 195.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -7000.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.132 * 1\nAnswer: 0.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 3*o - 30 = 0, -13*o = -5*n - 10*o - 50. Sort -2, 3, 5, n.\nAnswer: n, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1377\/(-1377)*((-4)\/8*-12)\/37\nAnswer: -6\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 205142505 (base 6) to base 15\nAnswer: 4b370e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2409 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -4. Let d(v) = -2 + 3*v - i*v + 2. Let x(w) = w**2. Give x(d(s)).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2481 is divided by 103.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y - 48*y - 7 - 16*y.\nAnswer: -67*y - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 4*v**2 - 3*v**2 + v**2 - 5*v - 1 + 4. List the prime factors of z(3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of x**7\/70 - 3*x**6\/20 + 3*x**5\/20 + 5*x**4\/4 + 159*x**2. Let o(f) = 0. Calculate f.\nAnswer: -1, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5*i + 285 = 0, -175*v + 178*v - 255 = -5*i. What are the prime factors of v?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1400051?\nAnswer: 1400051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -x**4\/6 + 12*x. Let q(j) = 20*j. Give q(y(l)).\nAnswer: -40*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.1, 5, -3, -7, 1\/50 in decreasing order.\nAnswer: 5, 0.1, 1\/50, -3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + 11ca?\nAnswer: 11c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 127924930 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 5*t**5 - 48340*t**4 + 337915*t**3 + 2125420*t**2 = 0.\nAnswer: -4, 0, 11, 9661","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = a, -2*a + 0*a + 3*k = -39. Solve 0 = 4*p - w + 9, 0 = -p - p - 3*w - a for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 19*l**2 + 19*l + 23. Let h be n(-18). Let w = h - -6. Suppose w + 61 = -12*j. Let q(t) = -t**2 - 5*t - 1. Determine q(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -231650 to the nearest 10000.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/18 and 21\/4814.\nAnswer: 43326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -8. Let b(z) = z**2 - 2*z - 1. Let v be b(u). Suppose v*g + 0*g - 58 = 0. Is g a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -32 - (-56 - (-50 + -13))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.1 + -1.1. What is the third smallest value in -5, 1\/8, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 0.17 (c) 0.35 (d) -8 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -b**6\/2 + 12*b**5\/5 - 15*b**4\/4 + 2*b**3 - 12. Factor y(s).\nAnswer: -3*s**2*(s - 2)*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 5\/2859?\nAnswer: 5\/2859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -82 - -87. Let h(i) be the first derivative of -1\/2*i**2 + 3 + 1\/2*i + 1\/4*i**4 - 1\/10*i**o + 0*i**3. What is p in h(p) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + 0. Suppose 9*n - 4*n - 30 = 0. Solve -n*q = -3*q - x for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 269, 500, 729, 956, 1181, 1404?\n\"Answer: -b**2 + 234*b + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -2, -2\/55, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -6 - (-1242)\/144.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42921 to the power of 1\/2, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 831180471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4 + ((3*-4*sqrt(363))**2*3 - -6*(3 + sqrt(363) + 0))).\nAnswer: -470490 - 198*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*t**2 + 5*t**2 - 2*t**2)*(-t**2 - t**2 + t**2) - 5*t**4 + 5*t**4 - t**4)*(10 - 19 - 18).\nAnswer: 54*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + -1)*(-49)\/(-21). What is the tens digit of (d + 3 - -3) + 355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1145001 divided by -471?\nAnswer: 2431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -7. Let l = 5 - p. Find the third derivative of 0*d**2 - 3*d**6 + 4*d**6 - 3*d**2 - 3*d**l wrt d.\nAnswer: -240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -22 + 3 + -6 + 5. Let d = v + 71. List the prime factors of d.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19812 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.04, 0.2, -15, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 42?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 4*g + 76 + 120, -4*g + 68 = 2*y. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1748055*p**4 - 4723002*p**2.\nAnswer: -41953320*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-2))\/((-342)\/4104*((-90)\/(-12) - 6)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1356 - -1355.927. Which is the smallest value? (a) -0.5 (b) -3 (c) s (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 n when three letters picked without replacement from bbbqbbnbbqbnb.\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4 + 15 = 0. Let q = t - 3. Let c be ((-3)\/(-4))\/((-1)\/(-4)). Solve 0 = 5*b - c + q for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, n: 3, x: 4, w: 5}. Give prob of picking 3 x.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 5*y - 926 = 12404, -5 = -y. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 164 = 7*h + 4*m, 5*h - 5*m - 455 = 0. Suppose 4*x - j - 307 = 0, 26*x - 27*x + 4*j = -h. List the prime factors of x.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1101*i = 248*i + 108*i + 93248 for i.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 2 = -6*x + 4, -3*x = 2*a + 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 607 + -14. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 - -66. Let v(h) = h**2 - 15*h - 4. Let m be v(7). Calculate the remainder when t is divided by (m\/(-21) + -2)*21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 6*i**2 - 7*i + 4. Give a(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45 and 147?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 28 = 4*u, 3*l - u - 3 = 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-39 - -12) + 7?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1004611 (base 7) in base 11?\nAnswer: 81716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-1\/4))\/(r\/(r\/r**(-6))))\/((r*((r*r**(-2)*r*r)\/r*r)\/r*r)\/r**(1\/8)) assuming r is positive.\nAnswer: r**(43\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (3\/12)\/((-4)\/(616\/6)) and -67\/114.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -907*g - 122079 + 122079.\nAnswer: -907*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -11084.106 rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/27*-9 + 1. Let a(d) be the third derivative of d**4\/12 + d**3\/6 - d**2. Determine a(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 38 and 133.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-4)*j*j*j*j*j*j*j**(-3)\/j*j)\/(j**(-6)*j*j\/(j*j\/((j**(-3\/5)\/j)\/j))))\/((j\/j**(-2))**24)**(2\/25) assuming j is positive.\nAnswer: j**(46\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -25433*z - 4613. What are the prime factors of b(-3)?\nAnswer: 2, 73, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -225 by 45.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 7563604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/34662 and -19\/36?\nAnswer: 207972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - w - 2. Let c(z) = -3*z**2 + 2*z + z - 99 + 0*z + 166*z**3 + 2*z. Let i(g) = -c(g) - 3*y(g). Find the second derivative of i(u) wrt u.\nAnswer: -996*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 100\/35 - (-2)\/14. Suppose s = 4 - j. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/1 - -1) + -2. Suppose 4*q = r*q + 25. Let c = q + -21. Solve 0 = 3*s - c*s - 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110001011 (base 2) in base 11?\nAnswer: 32a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 11 = -h - 2*b, 5*h + 4*b - 43 = 0. Let i(q) = -h*q + 0 + 1 + q**2 + 0 + 0. Suppose 25 = -0*x + 5*x. Give i(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of -883*o**6\/12 + 132*o**5\/5 - 32*o**2 - 16. What is the third derivative of x(n) wrt n?\nAnswer: -52980","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.2 (b) -1.6 (c) -6 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -42162, -88267, -134372, -180477, -226582, -272687?\n\"Answer: -46105*n + 3943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 2:44 PM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 6:13 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -127.632183 + -5?\nAnswer: -132.632183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -85 (base 10) to base 13.\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 42, -39 in ascending order.\nAnswer: -39, -2, -1, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 - 213*n - 1062. Let g be v(-5). Put g, 2, -1, 0, -4 in descending order.\nAnswer: g, 2, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -305.\nAnswer: -3\/305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 50 = 2*r, 40 + 12 = 3*u - 4*r. Let p = u - 12. Let z = -5.4 - -5. Put z, 1, p in ascending order.\nAnswer: z, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 99115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 656?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6*(-3)\/(-8)*4. Suppose 3*h - 2*t = -7*t + 35, 5*t - 25 = -h. Let y = h - r. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 55?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 - -25 - (-2 - 11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 3 + -8 + 1. Let l = f + 7. Solve l*q - 20 = -3*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 16) to base 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.011 from -0.68.\nAnswer: -0.669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -886*g + 883*g + 9. Let m(o) be the first derivative of -o + 1\/3*o**g + 0*o**2 - 9. Calculate m(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -63209, -2\/9, -7\/16 in ascending order.\nAnswer: -63209, -7\/16, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 12*w**2 + 2*w + 1. Let q be p(-1). Let d be 88 + -45 + 2\/2. What is the greatest common factor of d and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 - (24 + -8) - -11.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -56990 - -7693594\/135. Find the common denominator of k and -1\/4.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1499 is divided by 429?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -126?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*z + 102*z - 4*x = 10, -5*z + 4*x + 46 = 0 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/7 + (-304)\/1064. Sort o, -1, 5, 20, 2 in decreasing order.\nAnswer: 20, 5, 2, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (36\/(-30))\/((-2)\/55). Let z be ((-420)\/w)\/(-4) + -3. Let p = -1.2 + 1. What is the smallest value in z, 2\/9, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73455.17 millimeters to kilometers.\nAnswer: 0.07345517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 335 or 4019\/12?\nAnswer: 335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*i + 4. Let a = 10 - 7. Sort 0, i, a in increasing order.\nAnswer: 0, i, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1480\/(-1184))\/((-25)\/60). Let g = 25 - 15. Solve u*q + 2*k = g, q + 3*k = -k for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzmz. What is prob of picking 1 z and 1 m?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -2 - -6) + (719 - 702)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -301 + -3?\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 9*x**2 + x - 6. Let f be q(9). Solve -2*r - f*b = -5*r + 12, -6 = r + b for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -2.86, 3\/2, 3 in increasing order.\nAnswer: -2.86, -2, 3\/2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 3. Let u = r - -2. Which is the closest to 1? (a) u (b) -5 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -522 - -481.7. Let k = i - -38.9. What is k rounded to 0 decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 12:18 AM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 15135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3 (b) 2 (c) 1.443\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 277 and 4\/881 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 236113?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*i**3 + 30 - 3*i**3 - 33 in the form z + h*i**2 + l*i + d*i**3 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -8 and -1320.\nAnswer: -1328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68656?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (1\/6)\/(40\/60)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 5:08 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 - w**2 + w**2)*(w + 2 - 2) - 7*w**3 + 6*w**3 - 5*w**3 + 0*w**3 - 5*w**3 + 3*w**3 + (w + 4*w - 3*w)*(-2*w**2 - w**2 + w**2).\nAnswer: -10*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5*3527.4\nAnswer: 17637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 24006, 24033, 24080, 24147, 24234?\n\"Answer: 10*n**2 - 3*n + 23999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 12*z**2 - 2*z + 14. What is b(12)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2694 and 0.25778.\nAnswer: 694.45932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16.8 in -10, -19\/5, -2?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 23*d**2 + 3 - d**2 - d**2.\nAnswer: 21*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(117)*2 + 5 - (-3 + (-6*-6*(sqrt(13) - (sqrt(13) + 2)))**2).\nAnswer: -5174 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 35*h - 60343. Let u(a) = -33*a. Calculate u(p(s)).\nAnswer: -1155*s + 1991319","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) 1 (c) 10023\/4813 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -95 and -1491?\nAnswer: 141645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -2533 (c) 1\/5 (d) 78\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39855?\nAnswer: 3, 5, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2000 + 18002\/9. Let m(z) be the first derivative of i*z**3 - 2\/3*z**2 + 0*z - 5. Factor m(t).\nAnswer: 2*t*(t - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 425.6021cm?\nAnswer: 4256021000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 11*t**2 - 5*t + 10. Let i(s) = -9*s**2 + 4*s - 8. Let u(v) = 4*f(v) + 5*i(v). Let k(z) = -1029*z. Calculate k(u(d)).\nAnswer: 1029*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 576 is divided by 275?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.6 + 6.8. Which is the third smallest value? (a) d (b) -0.1 (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -4.79163 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 2, 1, -9 in ascending order.\nAnswer: -9, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1745504, 3491011, 5236518?\nAnswer: 6982025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10.001 from -1884.\nAnswer: -1894.001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*j - 1432 = 59. Find q, given that 563 + 1539*q + 2*q**4 + 567*q**2 + 895 + 10*q**3 + 5*q**4 + j*q**3 - 4*q**4 = 0.\nAnswer: -18, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, f: 5, x: 3, d: 1, i: 6}. Give prob of picking 1 f, 1 d, and 1 x.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 51*v**2 - 111*v + 262. Determine d(53).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12617 or 12728?\nAnswer: 12617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 657 = x + 19, 10 = 2*x. Let m = 177 - v. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 25 = w - 0*w, 10 = 2*g. Suppose -3*f + 98 + 97 = w. What is the remainder when f is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7024 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in -0.5, 5, -0.11, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -1 + 177*u - 183*u + 1. Let x(j) be the third derivative of -j**4\/12 + 2*j**2. Determine f(x(n)).\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -104\/3475?\nAnswer: -104\/3475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 126\/168 + 3*((-421)\/132 - -3)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**4 - 209*h**3 + 17*h**2 - h?\nAnswer: 48*h - 1254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002735955 rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*f**2 + 18 - 35 - 38*f**2 + 17.\nAnswer: -53*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/700 and -1\/200.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 8*w**2 + 9*w + 4. Let y be b(9). Suppose 4*p - 22 = -6. Let q be (-7)\/4 + (-1)\/p. Put 2, y, q in decreasing order.\nAnswer: y, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tkrkkrtrrj. Give prob of sequence rtk.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -70 + 69.31. Let m = h + 0.45. What is the second biggest value in m, -2\/11, -5\/4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of w**2\/2 + w - 10857. Let b(r) = -20*r. Give -b(u) + x(u).\nAnswer: 21*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-5 - 0) + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17767*k**3 - 2*k**2 - 6791*k wrt k?\nAnswer: 106602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 595 - 929. List the prime factors of ((-6)\/2)\/(3\/j*2).\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6916333200 rounded to the nearest 1000000?\nAnswer: -6916000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 5:16 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of -j**5\/40 - 13*j**4\/12 + j - 19. What is a in d(a) = 0?\nAnswer: -26, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1787\/6955 - -2\/9737. Let k(w) be the first derivative of 0*w + 2 - 1\/14*w**6 - 9\/28*w**4 - b*w**5 - 1\/7*w**3 + 0*w**2. Factor k(l).\nAnswer: -3*l**2*(l + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*q**2 - 111*q**2 + 94*q**2.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -171*g + 173*g + 25, -2*b = 2*g + 22 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 0*a**3 - a**3 + 7*a - 8*a + 2*a**3 - 5*a**2 + 6. Let l be k(5). What is the first derivative of -1 - l + 5 - 12*p**2 + 2 wrt p?\nAnswer: -24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*m**2 - 74*m + 70?\nAnswer: -4*m - 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 51*j**2. Let r(q) = q**2 + 0*q**2 - 2 + 6 - 4. What is s(r(w))?\nAnswer: 51*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1295553, 1295485, 1295371, 1295211, 1295005, 1294753?\nAnswer: 1294455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -509 divided by 347230?\nAnswer: -509\/347230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1828, 1821, 1814?\nAnswer: 1807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 10*s**2 + 6*s + 58. Let g be p(11). Solve 74*l + g = 71*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12775 + -12424. What is the highest common factor of u and 4617?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((5\/(-28))\/5)\/(-23*(-32)\/(-1472))\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2758390807 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12803 - 23980020\/1873. Let t = 305359\/112380 + h. Calculate the common denominator of t and 59\/90.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**3 - 3*z**2 - 8*z + 6. Let v(n) = n**3 - n**2 - n + 1. Let p(i) = -d(i) - 3*v(i). What is the tens digit of p(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.04 - 1.1. Let y = 0.36 + h. What is the third smallest value in -0.4, y, 2, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -1\/5, -3, 1\/14?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -93 + 87.9. Let z = q - -5. Let h = -4.68 - 0.32. Which is the closest to z? (a) -4 (b) h (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (0\/4 + 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*h + 3*w, 31*h - 5*w - 8 = 29*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h + 37*h + 125*h + 2145 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/170 and 99\/80.\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 82625 and 1613750?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3324 and 11534?\nAnswer: 19169508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -1\/2 (c) 0.2 (d) 2061134\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 222211649 a multiple of 503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**1*x)**(2\/11))**17\/((x**0)**(3\/16)*(x\/(x*x**1))\/(x*x*x*x**(-3))) assuming x is positive.\nAnswer: x**(113\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2851732 (base 9) to base 11\nAnswer: 982131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + w + 8 = 0. Let b be 5\/(-20) + (-6)\/w. What is the closest to -2\/5 in b, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31081 - -33084. Is a a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of q**5 + 2 + 0*q**4 + 0*q**3 - 3\/2*q**2 + 0*q. Find the second derivative of k(d) wrt d.\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/g**(-2)))\/g**5*(g*g\/g**(-6\/7))\/(((g\/g**(2\/9))\/g)\/g))\/(g**(-4)\/g**(-1\/7)*g**4\/(g**(-7)*g)) assuming g is positive.\nAnswer: g**(-571\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1960000 rounded to the nearest one hundred thousand?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 137\/5 + -27. Let l = 1582 + -1579.909. Let i = -0.091 + l. Which is the second biggest value? (a) i (b) 3\/4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 7) to base 10.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 PM and 7:23 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -31*a**2 - 6*a - 6. Let b(m) = m**2 + m + 1. What is -6*b(q) - d(q)?\nAnswer: 25*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*z**3 + 87*z - 20*z**3 + 34*z**3 + (5*z - z - 3*z)*(2*z**2 + 0*z**2 - z**2) to m*z**3 + i*z**2 + o + f*z and give f.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of -2*(-78)\/(-104)*(-13 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 767 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -9*(-5)\/15 + 0. Suppose -13 = -w*f - 7. What are the prime factors of -2 - -136 - f - 0?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*u + 181*u - 87*u + 130 = 0. Which is bigger: -3 or u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 - -8. Suppose -15 = 5*v, m + 0*v - v - 15 = 0. Calculate the greatest common factor of m and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 23*q**2 + 136*q + 113.\nAnswer: (q + 1)*(23*q + 113)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1734.3*1\nAnswer: -1734.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*f**3 + 71*f**3 + 296*f**3 + 415*f**3.\nAnswer: 894*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 440887.637 to the nearest one hundred.\nAnswer: 440900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 67*h + 100*h - 92*h as j + s*h and give s.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**2 - 2*k - 1. Let r(t) = -2*t**2 + 2*t + 2. Let x(c) = -c**2 - 2*c - 3. Let w be x(-2). Give w*r(j) - 4*a(j).\nAnswer: -2*j**2 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1093, 0, -3, 17 in increasing order.\nAnswer: -3, -1, 0, 17, 1093","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - 312\/21 - 482\/434.\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffhffffhhfffhf. Give prob of picking 4 f.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + i - 4 - 2)*(0*i**3 - i**3 + 2*i**3).\nAnswer: i**4 - 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 409 + -409. Sort -1\/2, 4, g in descending order.\nAnswer: 4, g, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -n - 4*r - 6, 4*r - 16 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b**2 + b**2 + b**2 + (-6*b - 3*b + 3*b)*(-5*b + 0*b + 13*b) + (-2 - 2 + 3)*(12*b + 5*b**2 - 12*b) to the form w + m*b**2 + h*b and give m.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-five halves of a hour?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1\/2857, 1139.\nAnswer: -1\/2857, 2, 1139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 1 - 1 + 4*s - 7*s. Let z be k(2). Let h be ((-6)\/(-16))\/(z\/4). Put 2\/11, h, -2\/7 in decreasing order.\nAnswer: 2\/11, h, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24535.36 rounded to the nearest one thousand?\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 718*v**3 - 18*v**2 - 85. Suppose -1964*x + 54 = -1970*x. Let g(n) = -179*n**3 + 4*n**2 + 21. Let o(m) = x*g(m) - 2*h(m). Differentiate o(y) wrt y.\nAnswer: 525*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3*n - 3*n + 4*n)*(-4 + 4 + 2) + n + 2*n - 4*n)*(-15988 - 15971 + 32306)*(1 + 1 + 0) as t*n + z and give t.\nAnswer: -3470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 304\nAnswer: 1\/152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 2*d - 10. Let n be a(7). Suppose 4*x = 3*s + 20, -2*s + 5*x = -s + n. Solve w + t = -0*w, -4*w + t - 25 = s for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o. Let w(b) = 6*b. Let g(d) = -11*j(d) + 4*w(d). Let c(v) be the first derivative of 4*v**3\/3 + 1. Determine c(g(h)).\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 2:43 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/9, 6, 2?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4298 + 10605. Suppose -6*i + 43261 - l = 0. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 988 = -36*r + 100 - 444 for r.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -257\/4 - -64. Let s = 2\/305 + 24\/61. Put s, 3\/4, t in descending order.\nAnswer: 3\/4, s, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 135 in -632, 15, 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 5:05 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 5*k + 2*j = j + 2, 5*j + 0*j + 1184 = 293*k + 7*j for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 1:29 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6543 - 3124. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -2\/11, 1183\/38?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2376612?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -77839706 and -77839710 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 + 87 = -2*d - 8*t, 5*d = 4*t - 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -3. Let z = 0.08 - 0.18. Sort m, z, 2\/7, -1\/6 in increasing order.\nAnswer: m, -1\/6, z, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.8752 rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 - 24*a + 81. Let d be c(-22). Suppose -d*r = -117*r. Solve 6\/13*f + r - 4\/13*f**3 - 10\/13*f**2 = 0 for f.\nAnswer: -3, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - x + 8, -8 = 5*r - 2*x. Suppose r*i + i = 4. Solve -i*d = -7*d + 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 114 and -1.6.\nAnswer: 112.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tfi when three letters picked without replacement from fviftvgtvtvgtpi?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 2 + 1 + 8 - 404*v + 5.\nAnswer: -404*v + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14726788 and 88?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21330563412 + 2?\nAnswer: -21330563410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z. Let d be ((-3)\/(-6))\/((-1)\/(-4)). Suppose d*i - 4 = i. Let q(c) = -4 + i - 5*c**2. Give q(n(u)).\nAnswer: -20*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 7. Let h be (-6)\/2 + (1 - 2). Is i >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + 12*k - 14. Let u be a(-12). Let t = -11 - u. Factor -2\/5*y**5 + 4\/5*y**4 - 2\/5*y**t + 0*y**2 + 0*y + 0.\nAnswer: -2*y**3*(y - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -55*o**5 + 17*o**5 + 13*o**5 + 4*o - 2*o**5 - 4*o + (0 + o**5 + 0)*(0 + 0 + 1) - 37 + 37 - 8*o**5 + (0 + o**2 + 0)*(-2*o**3 + 5*o**3 - 2*o**3).\nAnswer: -33*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 2*d**3 + 42028293194907*d - 1 - 42028293194907*d.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 5.1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16534, -16541, -16554, -16573?\nAnswer: -16598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5239140 divided by -90330\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1130 (base 4) to base 8\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1320\/72 - 27)\/((-6)\/(-63))?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 10*f**2 + 11*f**2 + 204*f**3 + 12*f**2 - 33*f**2 to s*f**3 + b*f**2 + v*f + d and give s.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12028)\/713 - 3\/23?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourteeen ninths of a hour in seconds?\nAnswer: 5600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 o when four letters picked without replacement from rokorkykkyrssyoo.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 417923 and 22.\nAnswer: 835846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -80 by -2.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*o - 10292 = 334*o + 75*o + 2917 for o.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 121\/15 (b) 2\/57 (c) -448\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t - 4*t - t + 3*t. Let i(z) be the first derivative of -z**2\/2 - 7*z - 1. Let p(f) = f + 6. Let r(w) = -6*i(w) - 7*p(w). What is r(b(m))?\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 16 + (-16 - (-13 + 6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -3*x**3 + 60*x**2 - 237*x + 180 = 0.\nAnswer: 1, 4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 - ((-70)\/(-21) + 2\/3). Let l(v) be the third derivative of 2*v**2 + 0 + s*v - 1\/5*v**5 + v**3 + 3\/40*v**6 - 1\/8*v**4. Find a such that l(a) = 0.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c - 1. Suppose 0*a + 6*a = 0. Suppose 2*p + 5*r + 17 = a, -2*p - 1 = 2*r + 1. Let h(j) = j. Let i(k) = p*h(k) - 5*s(k). Give i(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-50) - (33108\/(-100) + 84\/12). What is the greatest common divisor of 1404 and s?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38761.3 milligrams to kilograms.\nAnswer: 0.0387613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198763645 is divided by 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a*b*h*n - a*b*h + 6*a*b*n + 139*a*h + a - b*h*n - 3*b*h + 25*b*n wrt n.\nAnswer: a*b*h + 6*a*b - b*h + 25*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -225 + 214*i - 65*i + 299*i - 44*i. Is f(14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wlnaawwiiiwaaaiig. Give prob of sequence anl.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 290757831?\nAnswer: 3, 7, 13, 1065047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + 9*l. Suppose -3*g - 14 = -56. Suppose 5*t = 3*t + g. Give f(t).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18937263\/19 or 996697?\nAnswer: 18937263\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188 = -7*h - 48. Calculate the remainder when 37 is divided by h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - 16*g + 3. Let w be k(-10). Let c = w - 58. Solve 20 = 4*r - 3*y + 1, -1 = r + c*y for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of 2*r**5\/75 - 7*r**4\/60 - 12*r**3\/5 + 249*r**2. Factor d(s).\nAnswer: 2*(s - 4)*(4*s + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 22 - 11. Let b = -15 + m. Sort -1, 12, b in increasing order.\nAnswer: b, -1, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -61?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 6900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35457280?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a litre in millilitres?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x + 4. Let r(d) = 2*d - 10. Let j(o) = -5*h(o) - 2*r(o). Calculate j(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -69*t**2 - t - 5. Let d(f) = -38*f - 50*f - 50*f + 181*f - 45*f. Give d(g(h)).\nAnswer: 138*h**2 + 2*h + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/sqrt(27)*5)\/(sqrt(600)*2 + sqrt(864) + 1*sqrt(864)).\nAnswer: 5*sqrt(5)\/132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3312474 divided by -62.\nAnswer: -53427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 424 is divided by 129.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 68303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 7*p**2 - 4*p - 5. Let y be b(6). Suppose -j - 4*x + 4 = 0, -5*j - 14 - 2 = 2*x. Let s = y + j. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1853 = -115*d - 1482 for d.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 320.2014 tonnes to kilograms.\nAnswer: 320201.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 31\/2 of a micrometer?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 o when two letters picked without replacement from xpxxopxpxpxpppxo?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -59 + (25 - 23) + 12?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 2*m - 8. Let x(k) be the first derivative of k**3 - 9*k - 16. Let v(w) = -w**2 + 4. Calculate m*x(l) - 9*v(l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21 + 61?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 0, 2, 89, -2.\nAnswer: -7, -2, 0, 2, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h. Let f(j) be the first derivative of -j**4\/3 - 4*j + 2. Let k(d) be the first derivative of f(d). Determine b(k(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82584021.\nAnswer: 3, 13, 2117539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 - 5)*33 + -4. Let l = -10 - g. Suppose 651 = 16*r + 219. Is r equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/24 + (-175)\/(-56). Suppose -d*h - 27 = -3*x, 0 = -4*x + h + 4 + 20. Calculate the highest common factor of 5 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -156831.7?\nAnswer: 15683.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2\/11*d**2 + 1120\/11 + 108\/11*d = 0.\nAnswer: -40, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v + 4*v + 4*v**3)*(-67880 + 67880 - 762*v)*(5 - 5 - 1).\nAnswer: 3048*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q**2 - 10*q - 46. Let s be k(14). Let c = s - 66. What are the prime factors of c?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/74 + 79\/370. Let u be (-3 + 3)\/(-2)*1. Suppose -5*r - 4*a - 16 = 0, u*a - 12 = 5*r + 3*a. Which is smaller: y or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**5\/4 + 3603*b**4\/2 + 5394951*b**3\/2 - 1974730708*b**2 + 1192960349385*b\/4 + 1208801297025\/2 = 0 for b.\nAnswer: -3885, -2, 283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 138 and 184?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 252184821 a multiple of 2891?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-84)\/(-441))\/((6\/(-28))\/((315\/(-868))\/15))\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*15\/(-10)*561\/153.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.46 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 342.1*101\nAnswer: 34552.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 a, 1 d, and 1 k when four letters picked without replacement from ajjkrjrdajsrjajksr?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03 and 2.92.\nAnswer: -0.0876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 26767 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 275553 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1269 - -26651\/21. Which is the third biggest value? (a) -3 (b) j (c) -17 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -97535*k**2 + 1463020*k + 75.\nAnswer: -5*(k - 15)*(19507*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 443 + -440. Solve -q*o - 2*n - 20 = o, -2*n + 10 = -2*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**3 + 8871 - 2404*c - 17749 + 8877 in the form h + u*c + p*c**2 + o*c**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 4, 3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -765*z**2 + 136*z. Let x(p) = 17*p**2 - 3*p. Let y(j) = -3*d(j) - 136*x(j). Let g(v) be the first derivative of v**2\/2 - 72. What is y(g(n))?\nAnswer: -17*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*g - 8 = j + 169*g, 3*j = 2*g + 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34\/(-12750)*-25)\/(8\/840)*-10.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4\/395, 0.01, -7\/2, -1\/7 in ascending order.\nAnswer: -7\/2, -1\/7, -4\/395, 0.01, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 6:48 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9279941\/144 + 64443. Find the common denominator of l and -97\/144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c\/c**23)\/c)\/c*c*c**(-2))\/(c**(1\/4)\/(c*c\/(c*((c*c**(1\/24)*c)\/c*c)\/c*c))) assuming c is positive.\nAnswer: c**(-607\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -111*m**4 - 8*m**3 + 14*m**2 + 7*m + 2323. Let c(a) = a**3 - 2*a**2 - a + 3. Let v(p) = -7*c(p) - z(p). Differentiate v(x) wrt x.\nAnswer: 444*x**3 + 3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/(-35))\/(774\/(-1806)))\/((-14)\/(-231))?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 501 - 501.00239. Round q to 4 decimal places.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11528, 23319, 35122, 46943, 58788, 70663?\n\"Answer: v**3 + 11784*v - 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 3*c - c + 10, 0 = 2*a - 3*c - 15. Let x = 0 + a. Suppose x = 3*n + n - 8. Solve -2 = -2*u + n for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17686*i + 5*h = -17682*i - 1, 5*i + h - 23 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 75 + 9. Is p a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -258 + 210 + (2 - -62).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30 + 12470*k + 54 - 12468*k + (3 + 1 - 5)*(-2*k - 3*k + 4*k) to the form b + o*k and give b.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**21*d*d*d)\/d*d*d**(-16)*d)**(10\/19) assuming d is positive.\nAnswer: d**(100\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -38. Let z = f - -78. Let r = 47 - z. What is the remainder when 13 is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 68\/(-7) - (-28)\/(-98). Let v be (0 + -5)*(-8)\/10. Let g be (-24)\/20*l\/v. Calculate the highest common divisor of g and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 260042, 260045, 260048, 260051, 260054?\nAnswer: 260057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*s - 2*s - 17*s - 8*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 3*j = 16. Suppose 5*k + g - 37 = 0, 2*k - g - 22 = g. Calculate the smallest common multiple of j and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6840022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2978*g = 2986*g - 24. Suppose j - 25 = 5*i, 2*j - 4*j + 3*i = -15. Let a(u) = -u + 2. Let n be a(j). Solve n*y + 3 = -g for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 2*v - 73, v - p + 11 = 30. Suppose -w - 2*w + v = 0. Is 5 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 18871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -10, 61, -1\/2, 4, -2\/17, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - o - 13 = 0, 3*o = l + 6*o. Suppose -4*y + 8*y + 12 = l*m, -5*y = 0. Calculate the remainder when 15 is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - s + 6 = 2*f, -4 = 4*s. Suppose 2*z = -0*z + 3*x - f, 3*x = 4*z - 2. Solve 3*m + z = -g - 5, -4*g + 8 = 3*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 207, 657, 1173, 1575, 1683, 1317, 297, -1557?\nAnswer: -4425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 110433261?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 80.81 to the nearest integer.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 8, a: 5}. What is prob of sequence ddad?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 62273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from stsoxsc. What is prob of sequence xo?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 223 = 4*k, 3*k - a = 5*k - 113. Suppose 0 = r + 8*r - 54. Suppose 2*m - r = k. Is 20 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 549*x - 545*x - 48 = -2*y, 0 = x + y - 19 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-198))\/((-19435)\/(-1453738)).\nAnswer: 34\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.09, 1\/129, -7327?\nAnswer: -7327","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146*s**3 - 12*s**2 + 8*s**2 + 4*s**2.\nAnswer: -146*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1144 = 5*r - 4*j, 3*j + 688 = 3*r - j. List the prime factors of r.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4\/10 + 53*h**3\/10.\nAnswer: h**3*(h + 53)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12768, 24984, 37200, 49416, 61632, 73848?\nAnswer: 86064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - b = 2*o - 0 - 0 - 5 - 2, 10*b = 0 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, p: 1, o: 2, w: 1}. What is prob of sequence poo?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) -1\/5 (c) 848 (d) -4\/5 (e) 0.4 (f) 3\/10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3222477 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -12 and 1814.313845203.\nAnswer: 1802.313845203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -8*m - 6. Suppose 4*t - 5 = k, -4*k + 4*t + 0*t + 4 = 0. What is the units digit of 9 + m + k*9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 4*q + 3. Let b be o(3). Let v be 5076\/b - 3\/(-5). Let n = v + -4409\/13. What is the second smallest value in n, -0.1, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62974801 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 - 15. Let i = 37 + -107\/3. What is the closest to -0.1 in g, i, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -12, 1\/4, -4, 1.6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + g + 0*g)*(-5*g + 2*g + g) - 5*g**2 + 0*g**2 + 3*g**2 - 654*g + 820*g**2 + 654*g.\nAnswer: 814*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6551*d + 6297*d - 12833*d.\nAnswer: 15*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 161 - 64. Let h = t - 141. Let o = 58 + h. What is the remainder when 41 is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f - 10*f - 6 + 2*f. Let y be c(-6). List the prime factors of ((-2)\/(-6))\/(2\/y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20516729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 4*f - 168, f - 5*f + 2*d = -148. Suppose 68 = 41*t - f*t. What is the remainder when t is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-4)\/3)\/((-5)\/(707 - 2)) and 12.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(3\/4)*k)\/((k*k*k**(-26)*k)\/k)*(k**16\/k)\/k**(-14) assuming k is positive.\nAnswer: k**(219\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.0075*-262044\nAnswer: -1965.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 471 divide 8982913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(5\/((-230)\/(-6))). Are y and 22 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 390*g**3 + 182*g**2 - 2*g. Let v(z) = -777*z**3 - 364*z**2 + 5*z. Let c(s) = -5*b(s) - 2*v(s). Find the third derivative of c(k) wrt k.\nAnswer: -2376","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(2\/7)\/x**(3\/2)*x**(-13)\/(x**(1\/7)\/x) assuming x is positive.\nAnswer: x**(-187\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 207*g + 3443. Determine f(-17).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1860792 by 24.\nAnswer: -77533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 11*s**2 - 1894*s + 12718. What is p(7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 278779265?\nAnswer: 5, 55755853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-33)\/44)\/((-54)\/144).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -11 + 1\/1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 389, 803, 1215, 1619, 2009, 2379?\n\"Answer: -r**3 + 5*r**2 + 406*r - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i**6 - 29440363*i**3 + 61977393*i**2 wrt i.\nAnswer: -240*i**3 - 176642178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 5, -46, -4, -6161, -2 in descending order.\nAnswer: 5, -2\/9, -2, -4, -46, -6161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2023 + 11120003303?\nAnswer: 11120011332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 times -159?\nAnswer: 11.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -2. Let b be (-1)\/(q\/(-8)) + 0. Let n = 6 - b. Does 7 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 6*c**2 + 11*c - 23. Let y be i(7). Suppose y*b - 2374968 = -25724968. What is b rounded to the nearest 100000?\nAnswer: -4700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4*h**3 - h**2 - 30. Let y(k) = 2*k**3 + k**2 + 14. Determine 2*l(m) + 5*y(m).\nAnswer: 2*m**3 + 3*m**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6931647 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9361.426l in millilitres?\nAnswer: 9361426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -0.5, 27, -1\/31, 1\/4?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 2*r**2 + 2*r**2 - 3*r**2. Let h(g) = -23*g**2 + 6. Let k(a) = -30*a**2 + 7. Let x(n) = -6*h(n) + 5*k(n). Determine p(x(y)).\nAnswer: -576*y**4 - 96*y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1049*m + 11*m**3 - 1049*m.\nAnswer: 11*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6505?\nAnswer: 5, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10.434 - -3.566. Which is the third smallest value? (a) m (b) -1\/8 (c) -7 (d) 1 (e) 0.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -33000 to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/209313 and 49\/22347?\nAnswer: 39978783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - (1*sqrt(5) + -2)) + sqrt(5) + sqrt(320) + -1 + 2)**2.\nAnswer: 54*sqrt(5) + 414","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*p + 3. Suppose 3*u - 22 = 11*d - 16*d, 5*u + 5*d = 30. What is the highest common factor of p and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1840*d + 250516 = -1886*d. Is d <= 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((sqrt(209) - (sqrt(209)*1 - sqrt(209)))\/sqrt(11) - (5 + sqrt(57)\/sqrt(3))) - (sqrt(133)\/sqrt(7)*1 + (sqrt(133)*-2)\/sqrt(7)))**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b + 6. Suppose 3*r = -5*s - 1, -3*r + 2*s + 20 = -14. Let x be m(r). Is 2*((-19)\/x + -1) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -82 + 109. List the prime factors of (1618\/(-6))\/(q\/(-81)).\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3490076*m - 3490131*m = -3630 for m.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1921748.\nAnswer: 2, 17, 59, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j, 0 = -4*f + 3*j - j + 8. Suppose 3*o = -v + 1 + f, 13 = 3*v + 5*o. Suppose 0 = 2*u + v, -x + 5*x + 5*u = 125. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 PM and 10:49 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -308.8.\nAnswer: 617.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 35 = -2*n. Let i(l) = n*l - 6*l + 5*l. Let k(z) = z**2. Determine i(k(y)).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.15 + 0.05. Which is the fourth smallest value? (a) -2 (b) s (c) 2\/3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 113, 102, 7, -15 in decreasing order.\nAnswer: 113, 102, 7, 5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 4) to base 15\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5056663341.\nAnswer: 3, 1685554447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -692*k**2 + 140*k**2 + 140*k**2 + 145*k**2 + 136*k**2 + 129*k**2 + 45.\nAnswer: -2*k**2 + 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 - 22. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -2631455.\nAnswer: -789436.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 + 6*s + 5*s - 12*s in the form h + k*s and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1518633*h**3*k**3 + 305*h**2*k**3 + 62*h**2*k + h**2 - 2*k**3 wrt h.\nAnswer: 9111798*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -390*u + 66*u + 177*u = -3234 for u.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 190642 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -29700*a**5 + 59395*a**4 + 237610*a**3 - 534560*a**2 + 267210*a + 45 = 0?\nAnswer: -3, -1\/5940, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*4*2\/72. Suppose i + 6 = -2*i. Let f be (-20 - -21)*(-1 - -1)\/i. Which is the nearest to f? (a) o (b) 0.5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201*x + 201*x - 402*x + x**2 + 3*x**2.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/163, -2\/95, 0.4, -3, 461 in descending order.\nAnswer: 461, 0.4, -3\/163, -2\/95, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264 is divided by 140.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1484460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 z when two letters picked without replacement from {z: 2, a: 1, m: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20657754 (base 8) to base 3.\nAnswer: 22022022212212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(51) + (-1*sqrt(306))\/sqrt(6)))\/((sqrt(12)\/sqrt(4) - sqrt(3))*-5 + sqrt(6)\/sqrt(2)*-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 99652434 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 1, 1.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 57 - 36. Let r(w) = -w**3 + 20*w**2 + 12*w - 226. Calculate the least common multiple of (-1)\/(a\/(-18) + 1) and r(20).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5350370 and 24076665.\nAnswer: 48153330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 711069112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c + 2. Let a be f(2). Let x = 16 + -9. Suppose -3*w + x*w = 16. Solve a = w*z - 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**3 + 7*j**2 - 7*j + 6. Let r be b(4). Let l be 735\/57 - 4\/r. Let i = l - -1. Calculate the lowest common multiple of 20 and i.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3690583?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247 is divided by 228?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.7 + -7. Let g = 1.1 - 1. Let h(t) = -t**2 - t + 13. Let f be h(-4). What is the closest to g in f, m, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p + 2. Let z be w(-1). Suppose u = z*u - 22. Is 5 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 2\/(-5))\/((-1482)\/(-12350))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 28 = 10. Suppose r = -3*b - 0*m - 3*m, -3*m - 12 = 0. Suppose -1 = -b*w + 1. Solve 4*x = w + 15 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227640?\nAnswer: 2, 3, 5, 7, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146826*b**2 + 73732*b**2 + 73095*b**2 - 26*b.\nAnswer: b**2 - 26*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1121 is divided by 1063.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -17?\nAnswer: -5.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -7. Let r = 6 - z. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*q**2\/17 + 230*q\/17 + 8.\nAnswer: -2*(q - 17)*(7*q + 4)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - k + 4*k)*(5 + 3 + 8 + (2 - 3 + 3)*(2 + 2 - 5) - 1 + 4 - 2).\nAnswer: 30*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 458551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*1\/15 + (-12972)\/10. Round t to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20.9 - -0.1. Let h = 39 - k. Let q = 21 - h. Which is the closest to -1? (a) q (b) 0.4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 times 555?\nAnswer: -4440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 195\/4, 5\/3, 41, 2 in descending order.\nAnswer: 195\/4, 41, 2, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 10 = -9, 30 = 5*q + 5*a. Let w(k) = 949*k - 84. Is w(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1623*s**5 - 4*s**4 + s**3 - s**2 - 14*s - 312?\nAnswer: 97380*s**2 - 96*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -f**3\/3 + f**2\/2 + 11*f - 46. Let b be d(0). Suppose 2 = p - u, 5*p - 4*u - b + 1 = 0. Solve -t + 3 = p*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g - 5642283 + 674283 = 0. Round g to the nearest 10000.\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 216948 and 12524?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -1 - 3 - 2*f + f - 1. Let v be k(-7). Find the third derivative of 12*u**2 - v*u**5 - 14*u**2 - u**3 + u**3 wrt u.\nAnswer: -120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31640516?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -3693 + 3693. Which is smaller: 4\/8135 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199*a + 13*a**3 - 633*a - a**3 + 832*a.\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -135, 0.0605511, -3.\nAnswer: -135, -3, 0.0605511","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*m = 15, 5*m - m = -5*p + 45. Let d = 31\/28 + -5\/4. What is the second smallest value in d, p, 1.4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 97743, 195440, 293137, 390834, 488531, 586228?\n\"Answer: 97697*b + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 228, 280, 332, 384?\n\"Answer: 52*t + 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17553\/8 + 2204. Suppose j + 45 = 5*c, -7*c + 40 = -2*c - 2*j. Find the common denominator of c and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 113*l**2 - 1932*l + 209. What is k(17)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - w + 4. Let x = 51 + -71. Let i be 5\/x + 34\/8. What is b(i)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - 13. Which is the nearest to -0.3? (a) -1 (b) 5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gyiyuiqqyqiiueigii. Give prob of picking 2 q and 2 y.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-10) + -1 + 1. Let y = g + 14\/15. Let n(r) = 2*r**3 + 11*r**2 - 17*r - 113. Let o be n(-4). What is the closest to -1 in o, y, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -4146*x**3 - x - 2. Let z be t(-2). Let y = -16868 + z. Round y to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 + 380\/24)*34.\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*y**2 - 28*y**2 - 889*y + 15 - 12.\nAnswer: -7*y**2 - 889*y + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.07 + 0.33. Suppose 7*h = -2*h - 9. Which is the second smallest value? (a) 4 (b) d (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0)**(-20)*((l*l**(-2\/21)*l)\/l*l)\/(l*l*(l*l\/(l**(-2\/5)\/l)*l)\/l) assuming l is positive.\nAnswer: l**(-367\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 4 = -5*d. Let n be -2 - ((-527)\/d)\/(-1). Let r = 3659\/28 - n. What is the common denominator of r and -119\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 559 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.274966 millimeters in meters?\nAnswer: 0.009274966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3391, -3438, -3491, -3550?\nAnswer: -3615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 4*y - 5*v + 26, 3*y - 3*v = -6. Sort 5, -8, y in descending order.\nAnswer: 5, y, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r + 20*r = 301. Suppose -10*t + r - 23 = 0. Solve -t*f = -20 + 14 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - -8 - 4) + -11 + 30?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u - 4. Let n(k) = -50*k - 89. Let z(g) = -d(g) + n(g). Let c be z(-2). Solve -r = -5*i - c, 2*r + 3*r + i - 7 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7485, -2, 3 in ascending order.\nAnswer: -7485, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 73 (b) -12\/7 (c) -3 (d) 1 (e) -34 (f) -1.29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 794, 1429, 1786, 1727, 1114, -191, -2326?\n\"Answer: -23*t**3 - t**2 + 799*t + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, p: 10}. Give prob of sequence mmmp.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 32582307335 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence onl when three letters picked without replacement from lhonol?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.05879 * 7419\nAnswer: 436.16301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -350 + 699\/2. Put 0.4, 31, y in decreasing order.\nAnswer: 31, 0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 51 - -5a?\nAnswer: ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 160891847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 0. Let h = x + -5. Suppose h = 2*p - 14 - 4. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 10:34 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 411241 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10927 + -10899. Solve 36*l = 50*l - o for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1905.\nAnswer: 3, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.4 - 5891.\nAnswer: -5885.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away -186144?\nAnswer: 186139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r. Let f(w) = 3*w - 1. Let u(p) = f(p) - 2*h(p). Does 2 divide u(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0444 - 41.1556. Let n = -41 - p. Is -15 at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l**(-1)*l)\/l))**(-33)\/(l\/l**(1\/3)*l*l)**(-2) assuming l is positive.\nAnswer: l**(-182\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (0 - -70) + (-60 - -49)\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-15) - 3*(-260)\/900. Let k = -1 - -0.3. Let w = k + 1. What is the closest to w in -2\/3, 1\/2, n?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1285, -2572, -3847, -5104, -6337, -7540, -8707, -9832?\nAnswer: -10909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 119 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 18805\/376100*-1*-4*1\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1166212 (base 8) to base 3\nAnswer: -121101122210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 268969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9196152 and 404814.\nAnswer: 487396056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 839*x**2 - 263*x + 17. Suppose -3*d - 30 = -4*t + 1, 2*d - 36 = -3*t. Let c(g) = 2515*g**2 - 790*g + 50. Let n(s) = t*u(s) - 3*c(s). Factor n(r).\nAnswer: 5*(13*r - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(416)*-2)\/(sqrt(1152)*-2))\/(2*sqrt(196) - ((sqrt(40) - (sqrt(40) - (sqrt(40) - sqrt(4000))))\/sqrt(10) + sqrt(4))).\nAnswer: -sqrt(13)\/132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y = 6*y + 3. What is the common denominator of y + -1 + 76\/72 and -123\/20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 118495790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-90) - ((-104)\/72 + (1 - 0))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 30 + 5850\/(-80) + 33 - -15\nAnswer: 39\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -13421540?\nAnswer: -13421542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*c, b + 3*c - 1 = -7. Let y(n) be the first derivative of n**2 + 1. Determine y(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence utt when three letters picked without replacement from bfftbjkutbub.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 743200 and 356736.\nAnswer: 8918400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3208 + -2406. Which is the smallest value? (a) f (b) -4\/5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -23. Let v = 20 + a. What is the nearest to v in -4, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/57 or 72?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -1 - (-1 + -5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 21*l - 58. What is p(7)?\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 25, 9.\nAnswer: 5, 9, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 4 = -6*r. What is a in -13*a**2 - 14*a**4 - 16*a**4 - 22*a**2 - 5*a**5 - 15*a**r - 75*a**3 = 0?\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**4\/2 - 4*v**3 - 75*v**2\/2 - 63*v = 0. What is v?\nAnswer: -3, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 95 - 95.1. What is the closest to h in -0.3, -3, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**2 + 3*m**2 + 2*m**2)*(-2*m + 5*m + m + (2 - 3 - 2)*(0*m + m - 2*m) - m + 14 - 14 + 0*m + m + 3*m).\nAnswer: 10*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**3 + 2079*s**2 - 480249*s + 36979173 = 0. Calculate s.\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -28*z - 14. Let y(f) = -3329*f - 3329*f + 6659*f. What is m(y(j))?\nAnswer: -28*j - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 greater than or equal to 201\/715?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 3:33 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*a + 3*a - 4*a)*(a**3 + 4 - 4).\nAnswer: -11*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 55*q + 20. Let j(l) = -4*l. Determine j(d(y)).\nAnswer: -220*y - 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 + 27. Let j(n) = 40*n + 30. What are the prime factors of j(a)?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 360\/160*(-208)\/(-18)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*j = -7*j + 81*j - 171738. Calculate the lowest common multiple of j and 90.\nAnswer: 18270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.5 or 16161641?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, z: 3, y: 1, p: 4, o: 1, c: 1}. Give prob of sequence co.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g**2 + 44*g = 0. What is g?\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 99341196 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2227542 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus 1625.45?\nAnswer: -1625.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 0.1 (c) 0.2 (d) 0.31 (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of k**4\/30 - 8*k**3\/15 + 16*k**2\/5 - 23*k. Determine h so that c(h) = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/54*-1)\/((-216)\/3240).\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/12*-3*18\/3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -850 divided by -5.\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (24\/(-10))\/6 + 197\/5. Let o = l - 18. List the prime factors of o.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 2*s + 4. Let f be (-1380)\/9 + 20\/(-30). Let a = -72 - f. What is the remainder when a is divided by s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 31174402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3236057 divided by 87461?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 less than or equal to 194?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(18\/135 + (-184)\/120). Let u = -0.31 + -2.69. Which is smaller: l or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z + z - 11*z - 3*z to u*z + w and give u.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 423.342 to the nearest integer.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1483 - 1459 = 6*b. Let u(l) = 6*l. Suppose -3*q = -1 - 2. What is the least common multiple of b and u(q)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kqiiotpk. Give prob of picking 1 t, 1 q, and 1 o.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*f + 150 = 0. Let z be (-168)\/10*f\/4. What is the highest common factor of z and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27*z**3 + 27*z**3 - 3*z**5 + (0*z**3 - z**3 + 0*z**3)*(-22*z**2 - 4 + 4).\nAnswer: 19*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 672 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 259768154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/4)\/(g**(-2\/5)*g)*(g\/g**1)\/g**2)\/(((g**(-4)\/g)\/(g\/(g\/g**0)))\/(((g*(g**(1\/6)\/g)\/g*g)\/g)\/g**(1\/2))) assuming g is positive.\nAnswer: g**(79\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.278, 219, -0.3, 2\/3?\nAnswer: 0.278","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 - -0.2. Let k = 1 + y. Let x = -1 + k. Which is the closest to 2? (a) 0.3 (b) x (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 85640 to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8\/29 or -0.3?\nAnswer: -8\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 38 + 102. Solve 4*p - 4 = q for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 3.3. Let h = -11885644\/117 + 101586. Let l = -12\/13 - h. Is l at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 12*q - 14*q. Solve -4*p - 2*z + 2 - q = 0, -z = p + 5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, r: 1, d: 1, s: 1, q: 2}. Give prob of sequence qhq.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -14836, -29710, -44584, -59458?\n\"Answer: -14874*o + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-516)\/48 - 2\/8. Let u(x) = -x**3 - 11*x**2 - 4*x - 13. Let q be u(w). Suppose s - q = 6. Does 9 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 0.7, -136?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and -93.4101.\nAnswer: -93.0101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 175 - 305 = 0. What is the highest common divisor of 48 and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 196043?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -19*p + 36. Suppose -p*i + 1136 + 947 = 3*u, u + 3*i - 701 = 0. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 207787.8 centuries to months.\nAnswer: 249345360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 61548 by 223.\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 100905, 201813, 302721, 403629?\nAnswer: 504537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 883, -5, 18 in decreasing order.\nAnswer: 883, 18, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*3\/15*20\/48?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 276200810 to the power of 1\/3, to the nearest integer?\nAnswer: 651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 7*t**2 - 6*t + 1. Let y be o(6). Suppose 14 - 6 = 2*h. Suppose -h = -3*a - a. Calculate the greatest common divisor of y and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -39*x**4 - 30*x**3 + 55*x**2 + 26*x - 14. Let j(d) = 430*d**4 + 330*d**3 - 605*d**2 - 285*d + 155. Let b(m) = 65*h(m) + 6*j(m). Factor b(p).\nAnswer: 5*(p + 1)**2*(3*p - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h. Let r(w) = -532*w**2 - 77*w - 77. Let v(n) = -14*n**2 - 2*n - 2. Let y(t) = -2*r(t) + 77*v(t). Determine y(d(z)).\nAnswer: -14*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence foo when three letters picked without replacement from fffofofff.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 653 + -380. Is 7 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183710 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*u**2 - 8*u + 0*u + 8*u to the form g + d*u + w*u**2 and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -300, -304, -310, -318?\n\"Answer: -h**2 - h - 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 13 = 2*y. Let v be (-5)\/(-10)*2*(12 - 4). Let m be (5\/(80\/(-108)))\/((-1)\/v). Calculate the greatest common factor of m and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 513 and 2619.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - 33) + -33 - -34.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-25))\/(10\/25).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 611, -3, 1\/6, -6, -0.68?\nAnswer: 611","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/4*16\/56.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5517 and 364448729?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 103 - 4*i**3 + 226 + 2*i**3 in the form z*i**3 + a*i**2 + r*i + w and give w.\nAnswer: 329","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5010 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*b**3*x - 5*b**3 - 258*b**2*x - 139370*x wrt b?\nAnswer: -24*b**2*x - 15*b**2 - 516*b*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10421.\nAnswer: 17, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + 2*p - 3. Suppose 494 = -5*j + c + c, -4*j + 3*c - 398 = 0. What is the remainder when (-8)\/(-24) + j\/(-3) is divided by x(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-63)\/27*(-4)\/(-63)*3.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2931 is divided by 155?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 3 + -3 + -3 - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(242) + 1 + 0)**2.\nAnswer: 132*sqrt(2) + 278","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 + 24 = -8*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -j**5\/40 + 3*j**4\/8 - j**3 + 7*j. Let s(g) be the second derivative of n(g). Determine s(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t + 0 - 421*t**2 - 7 + 423*t**2. Let b(y) = y + 1. Let h be b(-4). List the prime factors of o(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.97 - -0.9. Let j = -0.03 + d. Let g = 91\/3 + -30. Sort j, 0.2, g in decreasing order.\nAnswer: g, 0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27678774.\nAnswer: 2, 3, 251, 18379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) 3 (b) 1 (c) -0.4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 12*q**2 + 13*q + 21. Calculate x(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2089847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**(2\/3)*m)\/m*m*(m\/(m*m*m*(m*((m\/m**2)\/m)\/m*m)\/m))\/m)\/(m\/m**1)**5*m*m**6\/m*m\/(m*m*m**(2\/29))*m**(-5\/6)\/(m\/m**0) assuming m is positive.\nAnswer: m**(1003\/174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4242*b + 4242*b + 3263*b**2 to k + m*b**2 + d*b and give m.\nAnswer: 3263","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7585 or 7582?\nAnswer: 7585","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-13)\/y*y*y**(-10\/9))\/(y**5\/(y*((y**(-13)*y)\/y)\/y*y)) assuming y is positive.\nAnswer: y**(-280\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*22.\nAnswer: -8.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.8 + 1.1. Let z = k + -3.3. Let a = z - -3.9. What is the closest to a in -2, 1\/3, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -120537\/25366 - 24\/1153. Calculate the common denominator of p and 5\/2*11\/55.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -1. Suppose -m*t - 35 = -5*s + t, -35 = -5*s + t. Suppose -c + 304 = s*c. Calculate the remainder when c is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1 + (5*6*(-2 + sqrt(19) + -2))**2).\nAnswer: -7200*sqrt(19) + 31499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 + 32. Solve -3*d + 2*l = 9, -5*d - 12 = -d + m*l for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/3)\/(42\/(-28)). Let j = 145 - 2753\/19. Sort l, j, -0.7 in ascending order.\nAnswer: -0.7, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is dcb8 - -660?\nAnswer: 10538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 4*n = 2 + 20, n = k + 1 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 3*a - 15. Let n be o(-4). Let q = 560 - n. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/121? (a) 1 (b) -0.041 (c) -0.053\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 6615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -11090*o. Let j(b) = -16644*b. What is -10*i(x) + 7*j(x)?\nAnswer: -5608*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75, -77, -81, -87?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (2 + -3 - (-1 + -3))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 - -45. Suppose 3*a - 4 - q = 0. What is the remainder when 47 is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206.0775853 rounded to the nearest ten?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -123189899 + -0.021.\nAnswer: -123189899.021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - 3*t + 3. Let g(n) = 2 + 2 - 5 + n. Determine 3*g(v) + o(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30275377992 - 133.\nAnswer: -30275378125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1042 = -163*o + 327*o + 598 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 - -16. Let x = s + 17.11. Let d = -0.03 - 1.97. Which is the third biggest value? (a) -4\/5 (b) x (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = -2*i + 7, -1548*i = p - 1554*i + 15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 837375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y + 1. Let m be g(2). Suppose -1 = 2*t - m*t. What are the prime factors of t\/((-39)\/(-12) - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.7 - -1.8. Let u = -0.1 + v. Put -1\/2, u, -4\/9 in descending order.\nAnswer: -4\/9, -1\/2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 4:10 PM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33913 and 393844.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*k - k - 9878. Let i = k + 744. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -80 (b) 0.078 (c) 154 (d) 3 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, 3\/4, 0.2, 6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3*k + 7 = -7, 0 = -3*z + k + 14. Suppose -u + 2*u = 0. Suppose u = -3*c + 70 - 10. Solve -z*g + 9*g - c = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 5*t - 15. Suppose -4*o + t*o - 11 = -3*j, -4*j + 4 = 4*o. Find the third derivative of 2*m**2 - j*m**3 + 3*m**3 - 2*m**4 wrt m.\nAnswer: -48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + 9*j - 15. Let x be d(7). Let u(q) be the third derivative of q**4\/8 - q**3\/6 - 6*q**2. What is u(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 8 + 8*q + 4 - 11 as m + g*q and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 95741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 131\/40 + -837\/280. Solve -4\/7*b + 4\/7*b**3 + 0 + 2\/7*b**4 - q*b**2 = 0 for b.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 - -0.7. Let x = -4 + 3.7. Is j less than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -187*w + 915. What is v(9)?\nAnswer: -768","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 74845780 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68832 - 4*k - 68884 + k + 0*k.\nAnswer: -3*k - 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51942245.\nAnswer: 5, 2069, 5021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/14? (a) -2\/3 (b) -5 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10740256403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 + -11 + -22 + 10 + (15 - 1)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 + -7)*(-1)\/(-44). Let w = -109\/308 - a. Sort w, 1\/8, -5 in decreasing order.\nAnswer: 1\/8, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 divided by 38?\nAnswer: 325\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 328614489?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7fb (base 16) in base 6?\nAnswer: -13243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.08 + -0.92. Let l be (-4)\/14 - 690\/35. Let p be 12\/36 - l\/(-42). Sort p, g, -1.1, 2\/9 in descending order.\nAnswer: 2\/9, p, -1.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 2 + (6 - -5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -159 + 113. Let p = -23 - x. Suppose -u + 28 + p = 0. Is u a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 2\/7, 1\/4, 3, -153\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 12*v**2 + 12*v - 4. Let b be g(-11). Let o = b - -307. What are the prime factors of o?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 91, 2, 3, 5.\nAnswer: 2, 3, 5, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/40)\/(9\/(-45)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -98.9 - -94. Let x = t + 4.4. Let b(n) = -n**2 - 2*n + 2. Let w be b(1). What is the closest to w in 0.2, 2\/7, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17 - 22 - 30)*(-5*r + 3*r + r) to g*r + j and give g.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 + 48 - 7) + -13 + (3 - -15).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48*s**2 - 39 + 12 - 127*s + 27 wrt s.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -136\/3 - -45. Which is the third biggest value? (a) -3\/2 (b) 4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000075411412 rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3 = b + 6, b + 3 = 3*z. Solve 2*c + 3*g + g + 2 = z, -5*c - 5*g = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -1110100?\nAnswer: 1110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -28, -30, -32, -34?\n\"Answer: -2*t - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 4:05 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 76 - 2476*n**4 - 72 + n**2 + n**2 - 1146*n**4 - 226*n wrt n.\nAnswer: -86928*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4711 - 4571. Calculate the remainder when 487 is divided by n.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100111111001 - -11010111?\nAnswer: 101011010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11.549 - -9.549. Which is the fourth biggest value? (a) 4.2 (b) 3 (c) 0 (d) s (e) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p + 9. Let z(a) = -4*a + 16. Let c(v) = 5*k(v) - 3*z(v). Let m = -7 - -11. Calculate c(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of 0*z + 1\/3*z**3 + 0 - 1\/12*z**4 + 219*z**2. Let s(n) = 5*n - 6. Calculate -3*s(m) - 8*x(m).\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.06, -4, -0.41?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.86644ng in micrograms?\nAnswer: 0.00786644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -298 + 577\/2. Which is smaller: -10 or c?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 142757352?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 2. Find the first derivative of -3*b - 7 + a + 2 + 2*b wrt b.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -23. What is the nearest to -0.4 in f, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of -u**4\/24 + 4*u**3\/3 - 9*u**2. Let i be v(8). Put -5, 4, i in ascending order.\nAnswer: -5, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8293, -9109, -9925, -10741, -11557, -12373?\nAnswer: -13189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 118 and 146657362?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -2 + 1\/(11\/(-165)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2186 divide 27504252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -p**3\/3 - p**2\/2 + 22*p + 373. Determine h(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -81.19 + 44.36. Let q = -37 - w. Let f = q - -0.1692. What is f rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2673 is divided by 426?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/3? (a) -1\/18 (b) 2 (c) -1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/9 - (-38)\/(-3). Let w be (-3)\/(-2)*1904\/z. What is the units digit of 2\/10 + w\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/10*(573 - 575). Let t = -7 - -10. Suppose 6 = p + t. Put 0, p, s, 5 in ascending order.\nAnswer: s, 0, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**3 + 5*g**2 + 2*g - 1. What is n(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 - 15. What is the remainder when 49 is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 5, -7524 in descending order.\nAnswer: 10, 5, -7524","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 841 = 4*o + n, o = 4*n + 215. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -30 (c) 2 (d) 5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2102\/307 or 8?\nAnswer: 2102\/307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.4279 - 171436.5721. Let v = 171469.00094 + x. Let d = v + -31. Round d to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -5*v + 58. Let y(i) = 5*i - 59. Let c(l) = -10*l + 33. Let w be c(3). Let g(z) = w*j(z) + 2*y(z). What is the units digit of g(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -40\/11 (c) 1 (d) -5 (e) 87\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/11, 1\/31, 0?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7843327351 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -47*d**3 + 2*d**2 + d. Let m be t(-1). Suppose 3*x - 7*x + m = 0. What is the greatest common divisor of 12 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/5528 and (4 - (-20)\/(-4)) + (-12)\/((-2304)\/123).\nAnswer: 44224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 97 = 59. Let f = k + -23. Calculate the remainder when f is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 438987?\nAnswer: 3, 41, 43, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*x**2 - 11*x - 2*x**2 - 10*x**2 + x**4 - x**3 + 16*x**2 + 1 as b*x**3 + t*x**2 + j*x + l + d*x**4 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t**3\/3 - 2314*t**2\/3 - 66556*t - 1410024 = 0. What is t?\nAnswer: -42, 2398","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tk when two letters picked without replacement from {k: 3, y: 6, t: 8}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 4*w**2 + w + 3. Let a be u(3). Is (10\/6)\/(5\/a) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13.4 + 3.9. Round l to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of -2*i**7\/175 + i**6\/200 + 2*i**2. Factor n(g).\nAnswer: -3*g**3*(4*g - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2 + 1)*(54 + 63863*q + 68 - 170 + 48) as z + t*q and give t.\nAnswer: -63863","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s. Let g(l) = -l**2. Suppose -3 + 1 = v. Let w(t) = 16*t**2 - t. Let k(m) = v*g(m) - w(m). What is k(o(j))?\nAnswer: -56*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20100220111 - -121002?\nAnswer: -20100022102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(36)\/sqrt(4) - sqrt(9))*-3)\/sqrt(3) - sqrt(33)\/(sqrt(22)\/(sqrt(6)\/sqrt(3)))) + 0.\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -r + 1. Suppose -r*g + 0*g = -3*k + 71, -5*g + k = 97. Let m = g - -31. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3632\/(-13006) - 2\/(-7). Is t < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7868 is divided by 560.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75534, -604407, -2039940, -4835463, -9444306, -16319799?\nAnswer: -25915272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3607744495 to three dps.\nAnswer: 0.361","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-869)\/711 + 2\/9 + 806. Which is bigger: k or 801?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 z when two letters picked without replacement from {q: 1, p: 2, z: 1, v: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -86 + 154. List the prime factors of k.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -778*t - 1312. Let u be f(-123). What is the greatest common factor of 82 and u?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 484*v. Let u(p) = 3*p. Calculate u(a(x)).\nAnswer: 1452*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6658 divided by 1995.\nAnswer: 6658\/1995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -3*c + 2. Let n = 67 - 69. Let g(r) = -r**3 + r**2 - r + 1. Let d be g(1). Let p(a) = -a - 5 + d + 6. Give n*p(l) + v(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -9 + 7 - 177313\/(-18). Let t = o - 9846. Calculate the common denominator of t and -67\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5242475 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k**(-2\/7)*k)*k)\/k)**(3\/2))**30\/((k**3\/k)**10)**38 assuming k is positive.\nAnswer: k**(-5230\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, u: 1, f: 5, x: 2, h: 3, y: 5}. What is prob of picking 1 y and 1 f?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/6 of a day?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 (base 6) in base 7?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*f**2 + 1 + (9 - 1 + 5)*(55*f**2 + 19*f**2 + f**2))*(2*f**2 + 3*f**2 - 6*f**2).\nAnswer: -973*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4945 is divided by 190?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 10*v + 20. Suppose r = 3*u - 1, u + 36 = 3*r + 5*u. Let x be k(r). Solve 0 = t + 5*z + 11, z - x = -2*t + 4*z for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -160759104 divided by 40189776.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 30 and 63392.\nAnswer: 1901760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3147105 * 74.\nAnswer: -232885770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4*m**2 - 3*m + 2. Let z(s) = -6*s + s**3 - 7*s**2 + 1 + 3 - 2*s. Calculate the remainder when z(8) is divided by j(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21085891?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**5 + 6*v**3 + 4*v**2.\nAnswer: -2*v**2*(v - 2)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of 2*p**3\/3 - p + 15. Let v = 6 + -7. Calculate q(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3542 less than or equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 74081499 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of 2*b**2 + 4*b - 34. Does 2 divide t(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/3 + 6\/9. Suppose 0 = f*v + 2*a - 62, 5*v + 2*a - 110 = -0*v. Suppose h - v = -3*h. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -501543 (base 8) to base 6\nAnswer: -3310311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 4*c**2 - 3*c. Let q be v(2). Let i(f) = f**3 - 9*f**2 - 10*f + 7. Is i(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -15663 and 9255.\nAnswer: -6408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*h - 262 - 6 = 76. Let c(a) = -2*a**2 - 12*a + 10. Give c(h).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z - 1. Let q(j) = 2*j - 11. Let o be q(6). Let s be w(o). Suppose s = -3*l + l + 4. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -2\/187, 0.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/22815837 and -37\/6760248.\nAnswer: 182526696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 689 and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*f + 14*f + 30*f + 34*f + 3*f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*j - 3)*(754 + 37*j**2 - 754)*(j + 5*j - j).\nAnswer: -370*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 2647988.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 99 minus 3944212103?\nAnswer: -3944212004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from bbbbbbbubbbbbbbbbbb?\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110010 - -100?\nAnswer: -101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 13 - 12 = 5*c, -25 = 5*c + 5*z for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72538584 is divided by 21803.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (114\/(-5))\/((-1105)\/425 - -3).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 4 - 3)*(-2 + 2 - 2)*(-20*c - 30*c + 9*c) + (-1 - 2 + 1)*(-c + 0*c + 0*c) as y*c + q and give y.\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 11 + 1. Suppose 1 = -2*a + d. Suppose 0*f + a*i - 6 = -4*f, 10 = -2*i. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 217\/1605 + -1\/535. Which is the smallest value? (a) -1\/5 (b) w (c) 2\/9 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58232777.\nAnswer: 19, 3064883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 3282 = -b. Let i = b + -3205\/2. Calculate the common denominator of i and 59\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + 1)*(20 + 36 - 18)*(-5588*h**2 + 5588*h**2 + 50*h**3) to the form z*h**3 + x*h**2 + v*h + d and give z.\nAnswer: 1900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -374*r**5 - 44*r**2 + 15?\nAnswer: -22440*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, p: 1, e: 4}. What is prob of picking 3 e and 1 q?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 + 17*z + 3585. What is w(-52)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**4 + 507*q**3 + 31749*q**2 - 6. Let h(n) = -2*n**4 + 1520*n**3 + 95248*n**2 - 16. Let p(s) = -3*h(s) + 8*y(s). Determine z so that p(z) = 0.\nAnswer: -126, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20552109?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 3*f + 4*r - 29, -3*r = -5*f - 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -5114 + 10247 - 5124 - 4*b. Let y(o) = -5*o + 9. What is 3*x(t) - 2*y(t)?\nAnswer: -2*t + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13260 and 41868450?\nAnswer: 83736900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**3 - 3*x**2 + 3*x - 9. Is h(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -343 - -82. Let w = -144 - t. Let s = -69 + w. Does 16 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1313875 is divided by 1313696?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/34, 3\/8, -6, -4, -2\/645 in descending order.\nAnswer: 3\/8, 1\/34, -2\/645, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 5*n + 4. Let r be z(-4). Suppose 4*d - 5*c = 16, -6 = -2*d + c + c. Let f be (-1)\/((-2)\/(-12))*d\/56. Which is bigger: f or r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**3 - 5*u**2 + 9*u - 2. Is 16 a factor of s(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s + 21. Let k be q(-19). Let u be (-1 - k) + 5\/(20\/68). Suppose 2*p = 3*y - u, 4*p - 2*y = -5*y - 64. What is the common denominator of p and 6\/29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**5 + 6*q**5 - q**5 + (12*q**3 - 8*q**3 + 3*q**3)*(-3*q**2 + 4*q**2 + 0*q**2).\nAnswer: 10*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-441*u**2 + 441*u**2 + 71*u**3)*(5 - 4 - 3).\nAnswer: -142*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23*(-492)\/(-276) - 36)*(-107)\/5.\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2c0c (base 14) to base 8.\nAnswer: 17254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 8*c**2 + 56*c + 50. Let z be i(-7). Solve -z + 59 = 3*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -474*o**3 + 944*o**3 - 472*o**3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8865 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4063*-3\nAnswer: 12189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40 + -39.7. What is the closest to 0.1 in b, 2\/3, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26705752 is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 5, -0.6, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of 1\/2*c**3 - 1\/8*c**4 + 1\/20*c**5 - 1\/120*c**6 - 6*c**2 + 0*c + 0. What is h(4)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1380 and -148250887.\nAnswer: -148252267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away -1154607?\nAnswer: 1154606.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*l + 133 = -11879 + 2152 for l.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.6752 + -0.0248. Let w = -2.9 - q. Which is the smallest value? (a) 2 (b) 18 (c) w (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -15*a**2. Let i(b) = -2*b + 4. What is q(i(z))?\nAnswer: -60*z**2 + 240*z - 240","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(-28) - (-6)\/21. Suppose 3*i - 157 + 4 = x. Is 19 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 3073182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/17 - 1314*a**2\/17 + 23004*a\/17.\nAnswer: 2*a*(a - 639)*(a - 18)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3051044\/235348389 + 168\/13187. Let f = o - 1302359\/2105946. What is the common denominator of -87\/4 and f?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k - 5*k + 2*k - 1 - k + 1 + (-3*k - k + 3*k)*(-1 + 2 + 0))*(-3 + 3 + 2*k**2)*(k + k + 0*k) in the form b + c*k**2 + h*k + z*k**4 + p*k**3 and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 6*h**2 - 16*h + 1. What is the remainder when d(-8) is divided by (-1)\/(-3) + (-4)\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*l + 120 + 654 = 0 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 336 divided by 55?\nAnswer: 336\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 12:01 PM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x**3 + 0*x**3 - 2*x**3)*(2 + 1 - 1)*(-48 + 69 - 59)*(0*x + 0*x - 2*x) to n*x**3 + p*x + k + r*x**4 + m*x**2 and give r.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 375.7218mm in centimeters?\nAnswer: 37.57218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + j - 1. Let q(h) = h**3 + 2*h + 7. Calculate -3*k(x) + q(x).\nAnswer: -2*x**3 - x + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12539329969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*y + 5*d + 15 = -22*y, 3 = 4*y - d. Sort y, -0.5, -44 in increasing order.\nAnswer: -44, -0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41601193\/1593 + -26115. Let p = -22280\/17523 + r. Find the common denominator of -38\/5 and p.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/10 - 109*i**2\/5 + 937*i\/2 - 1785.\nAnswer: -(i - 15)*(i - 5)*(i + 238)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 57462*t - 857. Is l(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -160 - -381. Is 17 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -16 - 113 + 135 + 5*g. Let n(o) = -19*o. Determine b(n(f)).\nAnswer: -95*f + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3174\/15901 or -7?\nAnswer: 3174\/15901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + q = 0. Suppose -4*w = v - 19, -3*w + 10 = 5*v - q. Solve n = w*n + 20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 776.29 + -769. Round c to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1230 + 1?\nAnswer: 1231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 8:43 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*a**4 - 3*a**3*p + 4*a**3 - 2*a**2*p + 5*a**2 - 2*p wrt a.\nAnswer: 144*a - 18*p + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ujuuujuuu. Give prob of picking 1 u and 2 j.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 320\/19047279?\nAnswer: 320\/19047279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -72*r - 20. Let w(x) = -70*x - 18. Determine -4*f(o) + 5*w(o).\nAnswer: -62*o - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 17*j + 557. What is the smallest common multiple of k(-31) and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 0, 0.39, -4?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1760 times 0.07?\nAnswer: 123.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 850223595?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33448.8 - 33449. Suppose 5*f - 118 = -6*p + 10*p, -5*p = 3*f - 56. What is the third smallest value in 0.1, -1, f, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4455967?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + p = -8, 0 = 2*p - 6*p + 8. Put 4, 3, j, -62 in decreasing order.\nAnswer: 4, 3, j, -62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 + 11*y + 120. Determine h(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6098 + 32069. What are the prime factors of k?\nAnswer: 3, 11, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 6*(sqrt(1331) + 0)*4 + (((sqrt(1331) - -2*sqrt(1331))*2)**2 + sqrt(1331) - (sqrt(1331) - (2*sqrt(1331))**2*-2)).\nAnswer: 264*sqrt(11) + 37271","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 7*v - 12. Let l(c) = c**2 + 34*c - 60. Let b(i) = 2*l(i) - 11*q(i). Is 17 a factor of b(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -191\/75306 and -58\/2171323.\nAnswer: 13027938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -0.11, 5, -1 in decreasing order.\nAnswer: 5, -0.11, -2\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(((-6)\/(-1))\/1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 172 + -164.3. Let c = 8 - n. Does c = -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q**3 - 6*q**2 + q. Let z(c) = 4*c**3 - 7*c**2 + c + 1. Let n(f) = 3*x(f) - 2*z(f). Let g = -3 + 5. Suppose 20 = 3*w + g*w. Give n(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -295*x + 10254. What is a(33)?\nAnswer: 519","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.4 + -43.4. Let d = 36 + f. Let r = 347\/1190 + -1\/170. What is the closest to -1 in -1, r, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -q**3\/6 - 431*q**2\/3 - 11921*q\/6 - 20776\/3 = 0.\nAnswer: -848, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -4*c - 8. Let o be u(-5). Let t be o\/(-42) + 11846\/7. Let z = t - 595. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 - -16.27. Let i = d - -1.73. Let y = 32 - 27. What is the third biggest value in y, -5, i?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m - 8*m**2 + 0*m - 7*m**2 + 17*m**2 + 4. What are the prime factors of p(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6408000 to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -121043, -121031, -121017, -121001, -120983?\nAnswer: -120963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 0.1, 1\/24?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of (574\/(-10))\/(-1) + 4\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 12:48 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -40*v**5 + 73075*v**4 + 366375*v**3 = 0.\nAnswer: -5, 0, 14655\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + -3*(((sqrt(162) + -1)*-3 - sqrt(162)) + -3)*2)**2*4.\nAnswer: -1119756 - 5184*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 0*t + 16 = 0. Let m(g) = g**2 - 38*g + 37. Let z be m(1). Solve z = -t*h - 10 + 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2381002, -2381012, -2381034, -2381074, -2381138, -2381232?\n\"Answer: -q**3 - 3*q - 2380998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (12 - (10 + 2)) + 1 + -4 + 119 is divided by 97?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of t**5\/60 + t**4\/18 - 30*t. Suppose y(q) = 0. Calculate q.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = n, 4*u = 5*n + 279 + 356. Differentiate -6*h**2 - u*h + 165*h - 4 with respect to h.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 65 * -19626.\nAnswer: -1275690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 57.678 to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -22 + -15567?\nAnswer: -15589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 8*a**2 + 8*a + 4. Let c be q(9). Suppose -107*z = -24*z + 249. Put c, z, -1 in descending order.\nAnswer: -1, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -1\/4312?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 94 + 90 = 0. Let a(d) = -d**3 - 12*d**2 + 5. What is the remainder when l is divided by a(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 52183 divided by 8?\nAnswer: 52183\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 8736*c**2 - 40. Let k(f) = -f**2. Give w(k(l)).\nAnswer: 8736*l**4 - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**5\/7 + 6*a**4 - 228*a**3\/7 - 24*a**2 + 864*a\/7 = 0 for a.\nAnswer: -18, -2, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -2*i**7\/945 + i**6\/180 + i**5\/135 + 6*i**2 + 22. Let d(y) be the second derivative of t(y). Solve d(o) = 0 for o.\nAnswer: -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*g + 24 = -8*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -149.0419542 rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqxvqqvqxqvqxcnxxq. What is prob of picking 2 x and 1 v?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9320 and 400?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -40443, -40348, -40253, -40158, -40063?\n\"Answer: 95*p - 40538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -3*y + 2*y + 6, 3*j - 4*y + 1 = 0. Let q be 9\/18 + j\/2 + 12728. Let p = q + -7640. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0024 rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 416 = 34*a - 42*a + 41*a - 145 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-15))\/((-1)\/(-5)). Suppose -24 = -0*b - o*b. Let y = -42 - -50. Solve -5*p + b + y = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0*s + 14 = -2*h, -3*s = 2*h - 10. Let z = 8 - s. Suppose -k + z*k + 4 = 0. Put k, 4, 2 in ascending order.\nAnswer: k, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7350773 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/1386 and -37\/339484.\nAnswer: 235262412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16*8\/(-176)*(-7)\/((-84)\/(-66))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 85416309 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 36\/54115 and 86\/45.\nAnswer: 487035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 - 343*h - 22079. Determine t(-97).\nAnswer: 1783","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + sqrt(684) + sqrt(684)*2 + sqrt(684))*-3)**2.\nAnswer: 106875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rradmamulmr. What is prob of sequence amra?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17440 and 23440?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1460, 4, -1.23 in increasing order.\nAnswer: -1.23, 4, 1460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of -w**5\/20 + 12*w**2. Let q(d) = 11*d. Determine q(u(t)).\nAnswer: -33*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -59c (base 16) in base 11?\nAnswer: -1096","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 168*y - 36118. What is p(215)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 divided by -71?\nAnswer: -53\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 1717 - 1647 = -k, k = -g + 3358. Is k 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 2:34 PM and 4:56 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 6:04 PM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*0.66534.\nAnswer: 3.3267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 4*j**2 + 34*j - 109. Let k(p) = -p**2 - 11*p + 36. Let h(d) = 7*k(d) + 2*v(d). Let q be (-1 + 1 - 20\/(-4))*4. Is h(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vdjv when four letters picked without replacement from vvvjdvvvjnvcncvnnvvn.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4 = -p + 5, -4*u = -p + 11. Suppose 0 = i - 0 + 15. Let a = -7 - i. What is the remainder when a is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -226 + 330. What is the remainder when a is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110010001 + 111110000111?\nAnswer: 1000100011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 5*r**2 - 2*r. Determine y(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -64, -89, -114?\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 305 - 89. Let g be (-96)\/q - 2\/(-9). Solve 5*r = 22 - g for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001211 (base 3) in base 16?\nAnswer: 30a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1853, 3776, 5763, 7814?\nAnswer: 9929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 406*v**2 - 201*v**2 + 31*v - 203*v**2 - 30*v.\nAnswer: 2*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of 2*i**3\/3 + 15*i**2\/2 - 13*i - 130. Determine x(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5*(-8)\/(-12)*(-6)\/4. Suppose 8 = -x*k + 7*k. Suppose -110 = -k*j - 3*z + 171, j - 75 = 4*z. List the prime factors of j.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 102?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10647.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18248 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -54563547 + 54563548.08233994. Let j = -0.01766226 - r. Let t = j - -1.1. What is t rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + 782 + 0\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1671\/2 - 818. Let i = o + -241\/14. Let s be 3 - (36\/10 + 10\/(-10)). Is s at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 5557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14547530 is divided by 23.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 c when four letters picked without replacement from hhchhc.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) + -4 - sqrt(1573) - sqrt(1573))**2 + -5 + -1 + sqrt(13) - (sqrt(52) - ((sqrt(312)*-1)\/sqrt(6) - sqrt(52)))\/(sqrt(256) - -1*sqrt(256)).\nAnswer: 1421*sqrt(13)\/16 + 1583","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -335 + 513. What is the remainder when c is divided by 75?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*i = 11, q - 11 = 4*i + i. Let u = q - -23. What are the prime factors of u?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.013235565 rounded to five decimal places?\nAnswer: 0.01324","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23464736.\nAnswer: 2, 733273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3200 and 9200?\nAnswer: 73600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e2996 - 75?\nAnswer: e2921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 13 - 3 = -5*f, -5*n = 4*f - 17. Let z = -8 + 11. Suppose -3*w**2 + 24*w + 9*w**z + f*w**5 - 24*w - 9*w**4 = 0. Calculate w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 divided by -9?\nAnswer: -40\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -644697, -4, 8 in descending order.\nAnswer: 8, -4, -644697","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/173130 and 63\/1450.\nAnswer: 865650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**2 - 5*y + 4. Let g be 1 + 3\/((-3)\/(-2)). Let r(d) = d**2 - 3*d - 2. Let b be r(g). Let v be -3*(-3)\/(-6)*b. Determine l(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 g when two letters picked without replacement from {i: 5, g: 1, y: 2, r: 1, l: 1, x: 3}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirteen eighths of a millimeter?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 113 = 5*s, -2*f + 7*s - 11*s = 24. Put 2, 0.4, f in decreasing order.\nAnswer: 2, 0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3299, -6593, -9889, -13187?\n\"Answer: -y**2 - 3291*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 366254 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34885 + 34885 - 3*r)*(3 - 2 - 3) + 5*r + r + r + 0*r.\nAnswer: 13*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 8) + -3 - (-9 + -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - (9 + -14)) + 21 + -42?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h + 1. Let j(g) = -2569 + 2*g + 645 + 643 + 641 + 646. Give -4*j(z) + 24*r(z).\nAnswer: -32*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from btrhkbrghhhrrrhkhhrh. What is prob of picking 1 t, 1 r, and 2 b?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*c - 312 = 6*c, 5*c - 86 = 3*k - 27 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1897 - -1092. Let m be 2\/(-2 + l\/(-400)). What is the greatest common factor of m and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 17*d - 8*d + 588 = 0. Let o(p) be the third derivative of 1\/2*p**3 + 19\/48*p**4 + 1\/40*p**5 + 0*p + 0 + d*p**2. Factor o(z).\nAnswer: (z + 6)*(3*z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 59585 and -3.\nAnswer: -178755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 6825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of -o**5\/60 + 13*o**4\/24 - 7*o**3\/2 + 39*o**2. Let g be w(7). What is the units digit of g\/6*1744\/56?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -140, -683, -2164, -5057, -9836?\nAnswer: -16975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9493.219 centuries to decades.\nAnswer: 94932.19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7359 != 7359?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 232*l + 7680. List the prime factors of b(24).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10565871.\nAnswer: 3, 61, 57737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-10)*(-6 - (-27)\/12).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18522, -83598, -192066, -343932, -539202, -777882, -1059978, -1385496?\nAnswer: -1754442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15214151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 720 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**4 + s - 2*s + 2 - 104*s**3 + 101*s**3 + 2*s**2 to the form w*s**4 + m + b*s + c*s**2 + x*s**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-86)\/(-817) + (-121290)\/(-57).\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8.719 and -17595?\nAnswer: 153410.805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y**2. Let f(u) = -17409*u + 9264*u + 8670*u. What is j(f(o))?\nAnswer: 826875*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {j: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14029920763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2861*m**3*v*z + 2*m**3*v - 4226*m**3 + 106*v**3*z - 2*v**3 + 15 wrt z?\nAnswer: 2861*m**3*v + 106*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0+2543.46\nAnswer: 2543.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 613, -2\/3, 0.5, -142, 2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 3*h + 0 = 9, 4*b - 10 = 2*h. Let d(m) = -3 - 2*m**2 - m**3 + m**b - 3 + 5 + m. Let p(r) = r**3 + 5*r**2 - 5*r + 5. Give -5*d(s) - p(s).\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7142141 is divided by 4379.\nAnswer: 4371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*z - 954 - 735 = -513 for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -77301, -77223, -77109, -76941, -76701, -76371, -75933, -75369?\n\"Answer: 3*y**3 + 57*y - 77361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 549*j**2 - 546*j**2 - j**4 + 2*j**4 - 30 + 8 - 31 to n*j**4 + r + x*j + z*j**3 + a*j**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 932 a factor of 24879740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -64 or -2?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -44\/15 (c) 2 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 5*m**4 - 10*m**3 + 10*m - 5 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*j = -5*k + 30, 0 = 5*k + 3*j - 38. Suppose -a - k = 3*m, -m + 14 = -a - 0*a. What is the lowest common multiple of 21 and (a\/(52\/48))\/(-2 - 0)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -692*z**2 - 7722. Let b(f) = -5*f**2. What is l(b(a))?\nAnswer: -17300*a**4 - 7722","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m + 3*m + 0*m)*(-16*m**2 - 18*m**2 - 43*m**2) to the form y + n*m**2 + l*m**3 + g*m and give l.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 456 and 22306?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 292067*z**3 + 97*z**2 + 7*z + 858082 wrt z?\nAnswer: 1752402*z + 194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 + -100?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w**3 - 9*w**2 + 2*w**2 - 2 + 4 - 8*w - 2*w**3. Let m be v(8). Suppose -85 = -m*u + 13. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a - 36. Let m be d(17). What is the highest common factor of m and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**2. Let f(d) = -18086*d. What is z(f(r))?\nAnswer: 654206792*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -8, 2\/3, 5\/6 in descending order.\nAnswer: 5\/6, 2\/3, -1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11665169, 11665168, 11665167, 11665166, 11665165?\n\"Answer: -q + 11665170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of m**8\/3360 - m**7\/1680 - m**6\/360 - m**3\/2 - 5*m. Let l(j) be the second derivative of x(j). Suppose l(a) = 0. Calculate a.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17614069 is divided by 978559?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -43.79?\nAnswer: -43.79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -259.926 to zero dps.\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 190417401 to the power of 1\/3, to the nearest integer?\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -47, -397, -1337, -3161, -6163, -10637?\n\"Answer: -49*t**3 - t**2 - 4*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -7. Let j be (-9)\/((-27)\/(-6)) - z. Suppose -j*x = -0*n + n - 20, -2*n + 4*x - 10 = 0. Calculate the remainder when 18 is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 59961 and 30050889.\nAnswer: 2607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 3)*(-1 + 0 + 5)*(3*j - j + 0*j).\nAnswer: -16*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 - -50 - ((3 - 0) + 48 + 0)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.028 * 6229530\nAnswer: 174426.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 0.01, -10?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3\/8 (b) 0.2 (c) 1 (d) -2 (e) -794 (f) 3\/4 (g) 0.15\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2858 + -2860. Let g(k) = 4*k**3 + 8*k**2 - 2*k + 3. Let p(m) = -3*m**3 - 7*m**2 + m - 2. Determine a*g(c) - 3*p(c).\nAnswer: c**3 + 5*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 10214736?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 983557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28916 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**2 - 2*g + 1. Let h be p(1). Let t be h + 2 - (-107)\/1. What is the greatest common factor of 22 and t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 391 - 157. Let m = f + -187. List the prime factors of m.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*i + 14 = 6*w, 0 = -3*i + 9. Let s(u) = 3*u**3 + 4*u**2 + 2*u. Let n = 0 + -2. Let f(q) = q**3 + q**2 + q - 1. Calculate n*f(l) + w*s(l).\nAnswer: l**3 + 2*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(200) + -1)**2 + 3 - sqrt(200)) - (1 + ((sqrt(2) + (sqrt(2) - (1 + sqrt(10)\/sqrt(5))))*-3)**2).\nAnswer: -12*sqrt(2) + 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -36936798 divided by 2?\nAnswer: -18468399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 7865.\nAnswer: -39325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1073 and 148.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 274 = 5*u + 15*u + 34 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11247408 is divided by 899?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 43680665 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*l = -24*l + 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 185 + -126. What is the remainder when 232 is divided by p?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -615*b**2*k**2 - 80*b**2*k - 6*b*k wrt k.\nAnswer: -1230*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146647?\nAnswer: 146647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(1 + 3\/(-4)). Let a = 5.97 + 0.03. Let l = a - 5.9. Are r and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -47968*h + 1103269. Determine p(23).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 322806, 645818, 968828, 1291836?\n\"Answer: -y**2 + 323015*y - 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s + 0*s - s + 5*s**2 + 5*s.\nAnswer: 5*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a hour in minutes?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -530\/3 + 177. Put t, -0.2, -15 in decreasing order.\nAnswer: t, -0.2, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -4287*x - 673077. Give n(-157).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-5 - 0)*-1)\/(-1 - -2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*i + 31*i - 49 = 0. List the prime factors of (i\/(-2))\/((27\/(-30))\/(-9)).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14788 and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -850*o**2 - 2*o. Let w(y) = -830*y - 52. Determine w(q(a)).\nAnswer: 705500*a**2 + 1660*a - 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 0*z + 2*g - 205, -2*z = -3*g - 431. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 9:07 PM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-2)\/(-1))\/(1518192\/(-94888) + 16) - 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7675 is divided by 1773.\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 372 - 380. Let t be (-4)\/(y\/(-49))*-2. Solve -4*n - t = -37 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/494?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -14\/25 (b) -4 (c) 161\/3 (d) 5\/2 (e) 12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -1) + (8 + -8 - -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4*z - 3 = 0. Let m = -0.14 - -1.14. Which is the third smallest value? (a) 0 (b) z (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 20, -18 = -4*d + d - 3*i. Suppose u - d*u - 217 = -2*v, 0 = 4*v + 5*u - 441. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 - 5*p.\nAnswer: 5*p*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69682921.\nAnswer: 7, 11, 167, 5419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13\/1069 or -3?\nAnswer: -13\/1069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 10 = -4. Suppose -68 = -5*a - 2*o, -x*a - 6 + 42 = 3*o. Calculate the remainder when 35 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 855290 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 180747000 divided by 11476?\nAnswer: 15750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a + 23*a - 2*a as n + b*a and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 41*x**2. Let v(l) = 96591*l. What is v(z(j))?\nAnswer: 3960231*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**3 - 32180*l**2 + 60212128*l + 18446854848.\nAnswer: 4*(l - 4156)**2*(l + 267)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 31 - 20 - 5*f.\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 10*g**2 - 6*g - 20. Calculate b(11).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 3*t + 4. Let s be a(3). Let v = s - 13. Let f(w) = 2 + 2*w - w + 5 - 2. Calculate f(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 s when four letters picked without replacement from {s: 1, o: 1, z: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*c + 151993 - 151993 + 25*c**3.\nAnswer: 25*c**3 - 8*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of -4*33*(-9)\/(45\/10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4436415 decades in millennia?\nAnswer: 0.004436415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2171 + -1898. What is the greatest common factor of w and 168?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1877 - 1200. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of 1\/3*a**3 + 1\/30*a**4 + 4*a - 1\/5*a**2 - 1\/10*a**5 + 2. Find c such that h(c) = 0.\nAnswer: -1, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 8*n**2 - 4*n - 16. Let a be u(7). Suppose -4*t - 88 = -5*i, 0 = -a*i + t + t + 94. Calculate the smallest common multiple of i and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22708*w - 22710*w - 4 = -4*x, 0 = 4*w - 3*x - 7 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 90635153\/882 + (-2)\/(-36) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 0 + x - 3 - 7 + 0. Let c be s(11). What is the units digit of (18\/(-4))\/(c\/(-2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -4*v**2 - 127*v + 124. Let c(a) = -a**2 - 22*a - 1. Determine -6*c(r) + l(r).\nAnswer: 2*r**2 + 5*r + 130","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s - 32 = 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 32 - 1905300?\nAnswer: -1905279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 5*m + 7. Let x(q) = 11*q + 15. Let p(z) = z**3 + 84*z**2 + 314*z - 33. Let j be p(-4). Calculate j*w(l) + 4*x(l).\nAnswer: -l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -5) + -1 + -3 + -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/6)\/(1\/(-8)). Suppose -d - d + 19 = -3*t, v*t + 20 = 0. Let p be (d\/(-1))\/(-2) + -561. What is p rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -22\/3, 0, -1\/7, 21, 10532 in descending order.\nAnswer: 10532, 21, 1\/5, 0, -1\/7, -22\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s*s\/((s*s**7)\/s)))\/(s**(3\/8)\/s*s))\/((s**(-11)*s)\/s**(-13)))**(1\/27) assuming s is positive.\nAnswer: s**(7\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45810 = -76*w + 75182. List the prime factors of w.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v + 734 = 4755 + 5267. Calculate the remainder when v is divided by 200.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - 120 = -4*p. Let v = 83 + p. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 0.95\nAnswer: -0.285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 414c (base 15) to base 12.\nAnswer: 7b99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -0*o - 75. Let c be 3\/((-9)\/o) + 0. Suppose c*s - 58 = r, 0 = -0*s + 2*s + 3*r - 30. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 614060.7 minutes in microseconds?\nAnswer: 36843642000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d - 1. Let q(w) = -w + 103 - 229 + 59 + 0*w + 89. Determine q(i) - 3*v(i).\nAnswer: 2*i + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w - 3*w - 2*w)*((8 - 76 - 17)*(-3*w + 4*w - 2*w) + (0*w - 6*w + 4*w)*(5 - 2 - 1) + 2 + 2*w - 2) in the form x + a*w + m*w**2 and give m.\nAnswer: -415","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -166*w + 4. Let q be p(-4). Suppose 3*f - 392 = 2*u, 0 = f + 4*f + 4*u - q. Suppose 3*d = -f + 489. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 + 6*n. Let k be j(6). Suppose 2*t - 6*t = k. Let i = -6 - -11. Solve -3*h - 2*f + 2 = 4, t = 3*h - i*f + 16 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12577906?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.076283 nanoseconds to microseconds.\nAnswer: 0.000076283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3405.\nAnswer: 3, 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 230 divide 15871840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 + 26. Let m = 31771\/33 + -963. Calculate the common denominator of a\/5 + 820\/525 and m.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2706 is divided by 92?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.6688 or -0.182?\nAnswer: -0.6688","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*q + 9*q + 0*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5071, 1 in decreasing order.\nAnswer: 1, -4, -5071","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12341232?\nAnswer: 2, 3, 85703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence utt when three letters picked without replacement from {t: 3, u: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2, 0, 2?\n\"Answer: 2*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h + 8. Let c(n) = 5*n + 31. Let q(u) = -2*c(u) + 9*f(u). Let a(b) = b**3 - 9*b**2 + 9. Let o be a(9). Let v be q(o). Solve 2*r = -7 + v for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j - 4*b - 20, -j = -4*b + 6*b + 10 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8068 + 11418. Which is greater: z or -0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -0*a - 5*a - 20, a - 31 = 6*x for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/5 (b) 0.03 (c) -4753 (d) -3 (e) 2\/11 (f) 2\/3 (g) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 460 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pwl when three letters picked without replacement from pllmfwdfpmdmfpm?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 232 - -272. Let f be 2\/13 + j\/104. Suppose -3*k + 4*x + 101 = 0, f*k = -0*k - 3*x + 207. Is 13 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-37*m - 234*m - 98*m)*(0 - 2 + 0) to t*m + i and give t.\nAnswer: 738","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -3. Suppose 43 = z*p - 17. Let l = -0.02 - 0.98. What is the second smallest value in l, 2, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + 18*d**2 - 116*d + 839. Determine o(14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 12, 17, 12, -9, -52, -123, -228?\n\"Answer: -h**3 + h**2 + 9*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 3*u + 14 = -0*s, 0 = -5*s - 3*u + 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = 5*c + 2*c. Let u(g) = -17*g**2 + 30*g. Let z(k) = 9*k**2 - 15*k. Let m(y) = c*z(y) - 6*u(y). Find the second derivative of m(r) wrt r.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60, 225, 596, 1275, 2364?\nAnswer: 3965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*b + 13*b - 11*b + (2*b - 4*b + 0*b)*(1 - 2 + 0) - 3*b + b + 3*b.\nAnswer: 16*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -8, -39*y = -b - 35*y - 6. Calculate the lowest common multiple of b and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12 - 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1863550 divided by 610.\nAnswer: -3055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 2*n. Let a be v(2). Suppose 0 = -a*t + k + 54, 5*t - 4*t - 15 = k. Calculate the remainder when (0 - -2)*(12 - 0) is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h + h - 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -67 - -75. Let m = -5 + y. Solve -6 - 9 = m*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -56903*m**3 + 78*m**2 + 185336232*m?\nAnswer: -341418*m + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of u**6\/24 - 3*u**5\/4 - 35*u**4\/8 + 1225*u**3\/6 - 1355*u**2. Let n(m) = 0. What is m?\nAnswer: -5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o - 20, -11 = -5*y + 4*o - 5 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/28149 and -23\/28149?\nAnswer: 28149","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -48*f - 5. What is a(4)?\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - 201293.\nAnswer: -201296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (45 + -48) - (1 - (0 - 0))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -12*b**2 - 589*b + 19. What is i(-49)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8816 rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (-30 + -25 + 63 - (-2 + -78))?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68 and 493?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/8 - (-169)\/(-2). Let r = 135 + h. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 31507814*d**3 - 2*d**2 - 55085514?\nAnswer: 94523442*d**2 - 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9399?\nAnswer: 3, 13, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 23017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53318 is divided by 7616.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -0*d. Let v(h) = 2*h**3 + h**2 + h + 77. Does 55 divide v(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x\/x**(2\/3)*x*x)\/(x\/(x*x\/(x\/(x\/(x*(x**7*x)\/x)))))*(x\/(x**2\/x))**(-36) assuming x is positive.\nAnswer: x**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76, 29, 212, 479, 836?\nAnswer: 1289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1312\/75 + -4\/25. What is the common denominator of -83\/10 and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2 + (3 - 1 - 1)*(1 + 3 - 2) + 2 + 3 - 4)*(-2 + 3 + 1)*(-36*o + 2 + 17*o + 16*o + (3 + 0 - 2)*(-2*o + 4*o - 4*o)).\nAnswer: -50*o + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 6*w**3 - 4 - 2*w**3 - 3*w**3 - 5*w. Let h = -1781 - -1779. Let j(r) = -r**3 + 2*r + 2. What is h*f(i) - 5*j(i)?\nAnswer: 3*i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3 + (((sqrt(175) + -1 + sqrt(175))*1 - (0 + -2 + sqrt(175)))*1 + 2)**2*3.\nAnswer: 90*sqrt(7) + 550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((sqrt(980)*-2 + sqrt(980) + sqrt(20) - sqrt(20))*1)\/(sqrt(400) + 4*sqrt(400)*1))**2 + -5.\nAnswer: 49\/500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111001010101 (base 2) to base 12.\nAnswer: 2159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 13*t**3\/8 - 29*t**2 + 185*t\/8 + 17\/4 = 0.\nAnswer: -2\/13, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**2 - 41786*j - 19688388 = 0. What is j?\nAnswer: -461, 21354","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 744 and 19442776?\nAnswer: 1808178168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1)\/((p\/(p*p\/((p\/p**(-4\/3)*p)\/p)*p)*p)\/p*p)*p*p**9*(p*p\/(p*p**(2\/7)))\/p assuming p is positive.\nAnswer: p**(155\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 395 + -390. Suppose -134*p + 147*p = 26. Solve h*n - 13 = -0*g - 4*g, p*n = -2*g + 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**17\/s)\/s*s)\/(s\/s**21))\/(s\/s**(-5))**(-3\/35))**(-2\/21) assuming s is positive.\nAnswer: s**(-852\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 16596988 times -2\nAnswer: -33193976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-18)*(-57)\/38\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -4 (c) 194 (d) -11 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2310*k**4 + 41*k**3 + 73196*k**2 + 1?\nAnswer: -55440*k + 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21132022 + -2?\nAnswer: -21132030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -10, 0.09, -2\/3, -0.1111, 2\/13?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 150? (a) -9\/7 (b) -0.07 (c) 9\/5 (d) 2 (e) 1 (f) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -216*f - 5701. Determine b(-14).\nAnswer: -2677","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a49b + 22?\nAnswer: -a479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence do when two letters picked without replacement from {o: 4, d: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/4)\/((-2)\/(-24)). Suppose 2*o = 2 + m. Suppose 0 = -4*r + 5*i + 46805, 4*r + 13317 = -o*i + 60113. What is r rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 36 = 2*s + 24, 0 = 3*r + 5*s - 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3729013 or -10?\nAnswer: -3729013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 84 - 78. Let j be 2488\/(-6) + 2 - (l + -3). Let z = j - -422. Find the common denominator of -3\/8 and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 6*d**2 + 7*d + 5. Determine p(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 87\/2 of a litre?\nAnswer: 43500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67 + -49 + 7 + 88 + -1.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 59 - 59. Solve 2 = -n*x + x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 53536*s + 267677. What is x(5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180886*d**2 - 361771*d**2 + 180884*d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-106)*6*(-5)\/((-3360)\/(-16)).\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.65399025 - -0.654. Round w to six dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/30567 and -73\/305670.\nAnswer: 305670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -330, -268, -206?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158076?\nAnswer: 2, 3, 4391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 2 - 3)*(259*a + 52*a - 58*a) in the form u*a + m and give u.\nAnswer: 506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 15*y - 29. Let s be n(17). Let x be 7\/2 + (-2)\/4. Which is the closest to 0? (a) s (b) x (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 575\/115*(-4)\/(-50)*-1.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2559 is divided by 174.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5389782 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 + 77. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(35\/(-4) + 0) - 31413\/(-20942)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 5*x = -40, 3*h + 3 = -x + 7 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122392 is divided by 738?\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 148635 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 111001 (base 2) to base 6\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j + 18. Let n(c) = -c**3 - 36*c**2 - 67*c + 40. Let o be n(-34). Calculate z(o).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-224) - 2\/(-7)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -197, -53, 91, 235, 379, 523?\nAnswer: 667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6526016 and 392.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (15\/6 - 3)*18. Let o be ((-9)\/4)\/(h\/120). Calculate the highest common divisor of 10 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/12 - (-759)\/18. Let f = 64 - v. Is ((-1)\/2 + 2)*f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**3 + 2*g**3 - 6*g**3 + (2*g**2 - 4*g**2 + 4*g**2)*(-3*g - 1 + 1).\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 4, 1\/2, 6, 3\/14 in decreasing order.\nAnswer: 11, 6, 4, 1\/2, 3\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125361786 is divided by 348?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of x**2\/2 + x - 10. Let y be q(2). What is the first derivative of y - 9*u + 8*u**3 + 5*u**3 + 9*u wrt u?\nAnswer: 39*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from laelas. Give prob of picking 2 a.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30355216 and 276?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -6.35, 5?\nAnswer: -6.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/1 - (-13 - 220). Let l = i + -46. Suppose -5*w + 0*w = -l. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 5*l. Let s(r) = -10 + 9 + 0. Let q(n) = 12*n**2 - 10. Let o(d) = -q(d) + 10*s(d). Determine o(p(b)).\nAnswer: -300*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 3, g - 11 = -4*q + 2*q. Let o be (-35)\/(-2) - q\/8. Let n = -3 + o. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -31 + 6, 4*s + 21 = 5*u. Sort -2, s, 0 in increasing order.\nAnswer: -2, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21466 is divided by 710.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 418*v**3 + 414*v**3 - 1247*v**3 + 86*v**2 + 2*v - 1 + 414*v**3 - 6 to the form o + m*v**2 + p*v**3 + l*v and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0445 + -1.0445. Let o = 69 + -57. Which is the nearest to z? (a) 2 (b) -3\/5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -12*y**2 + 3 + 3*y + 0 + 5*y**2 + 12*y**2. Let t(c) = 16*c**2 + 10*c + 10. Let k(o) = -20*b(o) + 6*t(o). Let u(x) = 36*x. What is u(k(z))?\nAnswer: -144*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + -1 + (24 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (0 + -5)) + 16 + (6 - 11) + -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/39, -4, 1\/5, -6, -1503 in descending order.\nAnswer: 1\/5, -2\/39, -4, -6, -1503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-136 + 34 - -74) + 24\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*c - 0*c - 2*h, 0 = -h + 55 - 56 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 5*y + 55 = 0, 2*y - 10 = -3*y. What is the third derivative of -27*c**2 - 9*c**3 + 18*c**2 + l*c**2 wrt c?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 294201, 294214, 294229, 294246, 294265, 294286, 294309?\nAnswer: 294334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 1\/(-6 + (-206)\/(-34))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 393251015?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 865844 to the nearest integer?\nAnswer: 931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 169784?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30 by -2.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (-6 + 9)) + 9?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 6*f - 7 + 4 - 17*f + 3*f to q*f + u and give q.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 368897*u**3 - 7*u**2 - 2*u + 44258?\nAnswer: 2213382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2675 + 98*x - 2685 + 5358)*(x**2 + 0*x**2 - 2*x**2).\nAnswer: -98*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**2 - 8*r - 6. Let x be u(-3). Solve -3*v + 4 = -t + 2, -2*v + 5*t - 16 = x for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 - 0.2. Let y = 203 + -118.8. Let o = y - 84. Which is the biggest value? (a) 1\/2 (b) o (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 959 - 969. Let w be 27\/c + (-8)\/(80\/(-2)). Let r be -1 + 0 - (-27)\/(-15). What is the third smallest value in r, -3\/2, w, 0.1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-12)*20*3. Suppose -t = i - 3*i. Suppose 3*y = -i*z + 73, y - 6 = -0*y + 2*z. Does 6 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 1\/74267 (c) 2\/11 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from szszzzssszzzzssz. What is prob of sequence sz?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 3) to base 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 7:40 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -36 + 0?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 190383522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.99 + 1.99. Which is the third smallest value? (a) -2\/15 (b) q (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -475 by -5.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -4 + 5 - 17*f - 1. Let j(l) = -l. Calculate j(q(w)).\nAnswer: 17*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i + 5. Let t(l) = 1. Let j(f) = -5. Suppose 2 = 4*o - 2*o. Let z(h) = o*j(h) + 6*t(h). What is m(p) - 5*z(p)?\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2210.\nAnswer: 2, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110100 - 0?\nAnswer: 110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 102076\/19548 - (-3 - -3). Let r = d + 2\/4887. Find the common denominator of 23\/6 and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -10079\/79 = -129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(480)\/sqrt(192))\/((sqrt(512) - ((sqrt(512) + (sqrt(512)*-1 - sqrt(512)))*-1 + sqrt(512))) + sqrt(512) + sqrt(512)).\nAnswer: 3*sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -123f - 13ab?\nAnswer: -25ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 411998.\nAnswer: 2, 113, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 10 = 6. Sort 6, 0, -1, x in descending order.\nAnswer: 6, 0, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24939183917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8)\/5*(2 - 42)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + 3*r + 2. Let p be v(-3). Let x = -36 - -39. Let a be (90\/(-12))\/(x\/(-10)). Solve 3*i - a = -p*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -34*a - 2. Let z be s(-6). Suppose -4*r + d + 9 = 0, -d - 4*d = 2*r + 1. Calculate the greatest common factor of z and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - -4. What is the units digit of 100*-3*v\/(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 11)*(23*o - 11*o - 13*o).\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-nine halves of a kilogram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/244 and -59\/8.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32886218 is divided by 28.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-543)\/(-24978))\/((-3)\/(-48))*(0 - -1)?\nAnswer: 8\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/4 of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10654 and 12099900?\nAnswer: 84699300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in 3, 29\/3, -8\/65?\nAnswer: -8\/65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -4*v + 1. Let i(d) = -1. Let n(h) = -h - 6. Let z(g) = 6*i(g) - n(g). Suppose 0 = -4*r - 14 + 6. Calculate r*z(j) - l(j).\nAnswer: 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 163890831 to the nearest integer?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1950582 decades in years?\nAnswer: 1.950582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2. Let p(c) be the first derivative of -7*c**2 + 13. Calculate p(k(l)).\nAnswer: -14*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2128693?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1410240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 - 32 + 12)*(j - 2 + 2)*(2 + 1 - 2)*(0 + 0 - 2) + (5 - j - 5)*(12 - 13 + 18) to the form g*j + o and give g.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00837376769 to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - r = -6*r - 1, -3*r = -9. What is the units digit of 47\/p + (-1)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l - 1. Let g(r) be the first derivative of 12*r**3 + 3*r**2 - 8*r + 4739. Determine g(h) - 6*s(h).\nAnswer: 36*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 176 + -105. Suppose -2*t = -2*l + 76 + 62, -l - t = -k. Suppose -2*v + 2*u + l = 0, -2*u - 16 = 2*u. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1873 divided by -8.\nAnswer: 1873\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -97 - -190. Let i = 93 - u. Solve -6 = -4*y + 2*l, -2*y + i = -3*l - 1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2480 - 2382.842. Let v = p - 97. Round v to 2 decimal places.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - (-22 + 30) - -36?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 2*z - 192. Is 15 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -13*w - 16. Let p(f) = 4*f + 5. Let g(c) = 7*p(c) + 2*r(c). Let b = 7 + -12. Give g(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 108038 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2201.\nAnswer: 31, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 0 = -v - 42, 0 = 4*v - 4*f + 40. What is the nearest to 1\/25 in v, -0.3, -20, 6\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39.31 - 37.439. Let o = 1.46 - w. What is o rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) -38439 (c) 6 (d) -127\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 109360618 to the nearest integer?\nAnswer: 10458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 11:09 PM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -25. What is the remainder when ((-192)\/f)\/((-6)\/20) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 0 + -2 - (-14 - -13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1435\/(-10) - 4)*-116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 27? (a) -5 (b) 2\/9 (c) -2\/301 (d) 3\/2 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -21*z**3 - 5*z**2 + 7*z + 673. Let k(m) = 4*m**3 + m**2 - 2*m + 1. Give 5*k(g) + y(g).\nAnswer: -g**3 - 3*g + 678","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 - -0.3. Let z = 85\/4 - 21. Sort 0.5, z, i in ascending order.\nAnswer: i, z, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of 0*c + 0 + 0*c**5 + 0*c**3 + 295\/24*c**4 + 179\/120*c**6 - 27*c**2. Find the second derivative of a(s) wrt s.\nAnswer: 1074*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16217 + 26058. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-2 + 3 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2*m + 1086 = 0, 8 = -3*m + 20. What is the remainder when j is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o = -381 + 373 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of 79*o**4\/6 - o**2\/2 + 6*o. Is v(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001113 to 6 dps.\nAnswer: 0.000111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1864\/183, -0.6, 65 in ascending order.\nAnswer: -1864\/183, -0.6, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4560638\/141 != 32346?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.622145 and 1.\nAnswer: 1.622145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11636 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50 + -32. Suppose -3*u + 7 = -n + 1, 3*u + 3*n = o. Suppose 0*t - 5*t + 35 = 0. Solve -2*k + t + u = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -605*r**5 - 1668*r wrt r.\nAnswer: -12100*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222 = 16*j - 162. Calculate the common denominator of -35\/102 and 98\/j + (-49)\/(-147).\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -3*l, 5*v + 2*l = 6 - 20 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1093, 1110, 1127, 1144, 1161?\nAnswer: 1178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/15)\/((-21960)\/(-300))?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011 - 1010100?\nAnswer: -1000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(-6)*(-3)\/(-2). Let c be 2\/(-4)*(w - 4). Calculate the greatest common factor of c and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 6:14 PM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 147 + -147.25. Let m = 0.15 - 0.05. Which is smaller: l or m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 155406638?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of 373*u**3 + 4185. Let q(g) = -g. Calculate t(q(v)).\nAnswer: 1119*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -37 or -40?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 + 503355?\nAnswer: 503342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6366791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12747 is divided by 3181.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 116*a**3 - 221*a**2 - 274*a - 117*a**3 + 765*a**2 + 274*a as q*a + z + w*a**3 + j*a**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*j + 16. Let h be 6 - j - -5557*53. Let c = -81523 + h. Round c to the nearest 10000.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 660358?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-131)\/(-9)*2*4\/272 and -61\/90.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(95)*-3 - sqrt(95))\/(4*sqrt(605)).\nAnswer: 2*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1050712 is divided by 434.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -g - 4 - 20, -3*i + 2*g + 23 = 0. What is the least common multiple of (-3744)\/(-234) - (1 - -12) and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r*r**(-24)*r*r**(15\/8))\/(r**(-15))**(-6))**(-16) assuming r is positive.\nAnswer: r**1730","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/6075 and 37\/689250.\nAnswer: 55829250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -r + 441, 5*r = -28 + 13. Let u = c + 8. Is u a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 + -29. Let j(y) = 17*y. Let f be j(z). Let i be f\/(-2) - (-10)\/20. Calculate the greatest common divisor of 27 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o**2 + 8*o - 8*o. Let h(z) be the third derivative of -z**6\/360 + 2*z**3\/3 - 3*z**2. Let u(b) be the first derivative of h(b). What is m(u(d))?\nAnswer: 3*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**14*k)**(-17)*k*k**22*k**(-4\/9) assuming k is positive.\nAnswer: k**(-2092\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/378? (a) 2 (b) -4 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 25772, -2, -22, 0, -1 in decreasing order.\nAnswer: 25772, 0, -1, -2, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/2)*k*k\/k**(-1))\/(k**(1\/7)\/((((k\/k**(1\/3)*k)\/k)\/k)\/k)))**(1\/18) assuming k is positive.\nAnswer: k**(85\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -225, -449, -673, -897?\n\"Answer: -224*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2382\/17 - 140. Which is the fourth smallest value? (a) k (b) 1 (c) -1\/3 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/8*(-488)\/61*(-16)\/3.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*y**4 + 19*y**4 + 8*y**4 + 2*y**4 + 5 - 5 + (-7 - 4 + 2)*(8*y**3 - y**2 + 4*y**4 - 8*y**3).\nAnswer: -y**4 + 9*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 139*f**2 - 2*f + 1 + 138*f**2)*((-21 + 21 - 8*f)*(0 - 4 + 6) - 3 + 3 - 2*f) as n*f**3 + v + r*f**2 + p*f and give p.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -4*u**2 + u + 3. Let c be m(-1). What is the nearest to c in -3, 2\/5, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - -1.28082\nAnswer: -7.71918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(((p**(-2\/7)*p)\/p)\/p*p))**(-28)\/((p\/p**(-2\/13))\/p**(-1)))\/((p*p**(-5))\/(p*p*p\/p**(-5)*p))**29 assuming p is positive.\nAnswer: p**(4405\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 5*k**2 - 4*k + 6. What is the lowest common multiple of b(2) and 50\/6 + 3\/(-9)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*z - 39*z = 60 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -39, -56, -75, -96, -119?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**3 + 6*o**2 - 3*o. Let w(v) be the second derivative of v - 7\/12*v**4 + 0 + 2\/3*v**3 + 0*v**2 + 1\/10*v**5. Give -5*g(s) - 4*w(s).\nAnswer: 2*s**3 - 2*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = 2*w + 5*l + 21, 105 = 5*w - 3*l. Calculate the greatest common factor of w and 276.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1731, -1734, -1739, -1746, -1755, -1766?\n\"Answer: -o**2 - 1730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5 + (4*(2 + sqrt(847) + sqrt(847) + 2 + sqrt(847)))**2 - (4 + -5 + (sqrt(847) + 1)**2 + (sqrt(847) + -1)**2*4)).\nAnswer: -117990 - 4290*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2813 - 2817. Which is the fourth smallest value? (a) 2 (b) 36 (c) -9 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -0*d + d. Let b be 1 + d - 22\/(-8). Let q = -3.78 - 0.22. What is the nearest to 0.1 in q, 2\/11, b?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3*m = 33, 2*d - 4*m + 12 = -7*m. Let n(q) = 4*q**2 + 39*q + 27. Let f be n(d). Solve -t = -4 - f for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qe when two letters picked without replacement from eqqee?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 9*c**2 - 10*c + 8. Suppose -2*f + 3 + 17 = 0. Calculate the remainder when 27 is divided by v(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**2\/7 - 6661652*r\/7 - 5547200921138\/7 = 0. What is r?\nAnswer: -1665413","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 24*n - 14. Let i be v(-25). Suppose 0 = 6*r - i*r + 100. Find the second derivative of 1039*z**3 + 0*z**2 - 1067*z**3 + r*z + 0*z**2 wrt z.\nAnswer: -168*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-204)\/30*(-940)\/8. What is the greatest common factor of 17 and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*3\/(-3) - 11. Let q = -44 + 26. Let g = y - q. Solve z = 3*z - g for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + -2 - (33 + -41). Solve -j + 2 = -z + 1, t*j - z + 7 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a + 677?\nAnswer: 683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 218*z - 2. List the prime factors of y(3).\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 11:41 AM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/18 + 5\/3. Suppose -l*h - 2 = -3*h. Let a = h + 0. Solve -a*x + 4*x = 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**4 - 105*i**3 + 14577*i**2 - 353159*i = 0. What is i?\nAnswer: -191, 0, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r - 38*r - 14*r)*(3 - 3 - 2).\nAnswer: 112*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3 (b) -1539742 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*f**3*l**2 + 5*f**3 - 48*f**2*l**3 + 70*f*l**3 - 376*l**3 wrt f.\nAnswer: 90*f*l**2 + 30*f - 96*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 2*p - 14 = -0*p, -4*p + 6 = s. Does 18 divide s\/(-12) - 411\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tvrd when four letters picked without replacement from {l: 1, v: 3, r: 2, d: 1, t: 2, f: 3}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*326519.\nAnswer: -130607.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3*z + 68 = 0. Suppose -4*o = -2*o - z. Suppose -4*q + 9*q = -s + 45, -o = q - 5*s. Solve -3*v = -v - q for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11293 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -6860 to the nearest 100.\nAnswer: -6900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 99, 102, 105?\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 11:49 PM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 4:18 AM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -337 - -339. Let t(h) = -3*h**3 - 6*h**2 + j*h**3 + 154 + 8*h - 145. What is t(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 8*f - 16. Solve -4 + 0 = -f*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.357663 rounded to two dps?\nAnswer: 30.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -7a0a8 (base 12) in base 5?\nAnswer: -20200220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.511 * 0.5\nAnswer: 0.2555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57549457.\nAnswer: 7, 1511, 5441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q - 21. Determine u(-8).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, o: 4}. What is prob of picking 1 o and 1 g?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 53763.6 plus 0.06?\nAnswer: 53763.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/13 (b) 3 (c) 1 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2530025527?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140302539?\nAnswer: 3, 13, 1199167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -6*d**2 - 7*d. Let f(c) = -2*c**3 - 3*c**2 - c - 2. Let x be f(-2). Let z(u) = 0*u**2 + x*u - 3*u + u**2 + 0*u**2. Calculate -2*a(i) - 14*z(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -161630 or -96?\nAnswer: -96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x - 1 + x - 5*x.\nAnswer: -3*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - 6*i**2 - 4*i + 6. Let p be g(-5). Let u = -280 + 279. Let w(o) = -4*o**3. Let q be w(u). Are q and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 78618 = -0*k. Suppose -j + k = -5*t + t, -49140 = 5*t - 5*j. Let m = -9073 + t. What is m rounded to the nearest one thousand?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 1 + 2 = 3*d, -5*g - 9 = -2*d. Suppose 3*n + 4 - 10 = 0. Suppose 2*u + d = 0, 0*u - 15 = -n*b + 3*u. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36 divided by -22740\nAnswer: -3\/1895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of -t**3\/3 + 3*t**2 + 5*t + 27. Calculate m(8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12712*k*l**6 - 29*k*l**5 - 2*k*l**2 - 14132*k*l - 6*l**2 wrt l?\nAnswer: 1525440*k*l**3 - 1740*k*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 267 a factor of 3650958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7.01 and 5555.\nAnswer: 5562.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*w + 0*w - 5*w)*(-1167 + 1096 - 4*w + 0*w) + 29*w**2 - 64*w**2 + 27*w**2 + 1.\nAnswer: -12*w**2 - 71*w + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 22 and 3002803464142.\nAnswer: 3002803464164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 391*y + 78*y + 1.\nAnswer: 469*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 714 a factor of 270831624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - 1)\/(112\/(-4368)). What is the highest common divisor of f and 1053?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a - 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 10, -43802 in increasing order.\nAnswer: -43802, -3, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -110167, -109917, -109667, -109417, -109167, -108917?\nAnswer: -108667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2432156.\nAnswer: 2, 17, 47, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 q when two letters picked without replacement from {y: 1, k: 3, q: 4}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.6 (b) -1\/6 (c) 0.327\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60 - 571 + 4*h - 59 + 690.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2539*r - 310. What is n(-1)?\nAnswer: 2229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 5:46 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 1116528996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 5?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/4)\/(12\/(-8)). Which is the closest to 8? (a) 3 (b) x (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002124522265 to five decimal places.\nAnswer: -0.00212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 13*n + 9*n + 15 - 53*n + 11*n. Let o be d(0). Calculate the greatest common divisor of o and 240.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 2*u + 2. What is l(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 257036, 257039, 257052, 257081, 257132, 257211?\n\"Answer: r**3 - r**2 - r + 257037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**5 + 0*c**3 + 0*c**3)*((2 - 4 + 0)*(-5 + 6 + 5) + 4 + 0 - 6).\nAnswer: 28*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that c**3\/8 + 41881*c**2\/4 + 3934651*c\/8 + 1925445\/4 = 0.\nAnswer: -83715, -46, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jgvjgjjgejjgjjgg. Give prob of sequence ve.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101011 + -100011001100010111?\nAnswer: -100011001101000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -42688 or -42694?\nAnswer: -42694","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 784455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 2. Let a(l) = 3*l + s*l**2 + 5*l - 3*l - 1 - l**2. Let y be a(2). Solve m = 2*i + 3*i, 0 = -5*i - y*m - 30 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19.1 * 5.\nAnswer: -95.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.6 + 9.\nAnswer: 18.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 68519383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -b**4\/42 - 529*b**3\/21 + 530*b**2\/7 - 4467*b + 1. Let z(c) = 0. Calculate c.\nAnswer: -530, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of 0*i**2 + 0*i**4 + 0*i**5 - 1\/40*i**6 + 15*i + 4\/3*i**3 + 0. Let p(q) be the second derivative of c(q). Calculate p(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dwad when four letters picked without replacement from {d: 4, a: 2, w: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7\/(-3) - (-4 + 2). Suppose -305 = -149*u + 88*u. What is the smallest value in p, u, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88714195 to the power of 1\/2, to the nearest integer?\nAnswer: 9419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -5*o**3 + 15750*o**2 - 31485*o + 15740 = 0.\nAnswer: 1, 3148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19988 - 5494 - 6477)*(-y**2 + y**2 - y**5).\nAnswer: -8017*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 6*m**3 - 2*m**2 - m + 5. Suppose -y = 3*n - 18, -2*n = 5*y - 9*y + 2. Let z(j) = -7*j**3 + 3*j**2 + 2*j - 6. What is y*p(g) + 2*z(g)?\nAnswer: 4*g**3 + g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, -0.3, 5, -6.\nAnswer: -35, -6, -0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -534\/779 or -2?\nAnswer: -534\/779","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 < 108724426?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 182834 and 1356?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39120 and 676776.\nAnswer: 6767760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*g = -30. Let s(t) = -3 - 10*t**3 + g*t**2 + 9*t**3 + t - t. Let w be s(10). Is w < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -7243*w**2\/2 - 3446*w + 6599. Find the first derivative of t(m) wrt m.\nAnswer: -7243","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(2\/7)*v\/(v**(-2\/13)\/v))\/(v**12\/v*v*v\/(v\/v**0)) assuming v is positive.\nAnswer: v**(-831\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -5*z - 2, 5*z - 100 = -5*a + 2*z. Suppose a = 3*b + d - 11, -2*b + 4*d = -46. Let j(h) = -h + 21. Let l be j(b). Solve l*f = 3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -7*h**3 - h**2 + 3*h - 3. Let s be a(2). What is the hundreds digit of (10\/(-6))\/(s\/32661)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/21 + 7064*z**2\/21 + 275442*z - 38783556.\nAnswer: 2*(z - 122)*(z + 1827)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 1)*(252*u - 464 + 227 + 239) to n*u + r and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 6*a - 12. Let i(n) = 2*n**2. Give i(r(m)).\nAnswer: 72*m**2 - 288*m + 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 78037485863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*i - 987608*t + 987603*t + 15, -3*i - 4*t + 12 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -19. Let u(i) = 2*i**2 - 18*i + 28. Let w be u(v). Suppose -91 = -4*o - n, -2 = n + 3. Calculate the greatest common factor of w and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1770736, -1770826, -1770914, -1771000, -1771084, -1771166, -1771246?\n\"Answer: f**2 - 93*f - 1770644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 26008 * -0.1\nAnswer: -2600.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 11110 (base 2) to base 11\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50 and 37192.\nAnswer: 929800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 10:27 PM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 101*b**2 - 31*b + 238. List the prime factors of v(8).\nAnswer: 2, 7, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -298, -804, -1332, -1894, -2502, -3168, -3904?\nAnswer: -4722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(165)\/sqrt(80))\/(-2*sqrt(9)\/sqrt(3))*-2.\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/((-55728)\/430))\/(35\/(-42))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -586, -578, -558, -520, -458, -366?\nAnswer: -238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (-40)\/(-24)*(16 + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15571450 and 1329?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of -175*l**4\/12 + 175*l**3\/2 + 373*l**2. Find the first derivative of g(s) wrt s.\nAnswer: -350","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9696 and 75209448?\nAnswer: 2424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, -2, -4, -2\/13, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 3 = -3*a. Let h be 240\/45 + (-1)\/a. Solve f - m = 0, h*m - 2*m - 1 = 2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - -2 - 0 - 1. Let f(q) = -6 - 2*q + 6 + 55*q**s + 1. Is f(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 8:46 AM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110100111010011110101 + -101?\nAnswer: -110100111010011111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(99) - (sqrt(99) - sqrt(99)*1)) + sqrt(99))\/sqrt(9) - (sqrt(99) + 4))*-5)**2 + -5.\nAnswer: 200*sqrt(11) + 670","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c**2 - 24 + 13 + 12 to the form q + a*c**2 + u*c and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*i + 3*i**4 - i + 11*i**2 - 7*i**2 + 2*i**3 - 3*i**2 as v*i**2 + d*i**3 + r*i + c*i**4 + f and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9128 is divided by 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 169 - 169. Is c equal to -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3510 = -27603*b + 26901*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s. Let n(h) be the first derivative of h - 3 + 1\/4*h**4 + 0*h**3 + 0*h**2. Let c(a) be the first derivative of n(a). Give c(v(k)).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-3)*3*1\/18?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 7) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 31?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000011110 (base 2) to base 4.\nAnswer: -20132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11493718 divided by 4?\nAnswer: -5746859\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2956983370?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 206808 and 4653180?\nAnswer: 9306360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 221\/4620 and -139\/36.\nAnswer: 13860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -203.19 + 37.37. Let l = g - -198. Let o = -32 + l. What is o rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 5*o**2 - o - 10. Give t(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express ((8 + 3*u - 8)*(0 + 4 - 2) + u + 5*u - 5*u)*(112 - 61 - 106)*(-5*u + 9*u - 6*u)*(2 + 7 - 5) as d + y*u + o*u**2 and give o.\nAnswer: 3080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of 0*c + 15\/2*c**4 - 54 - c**5 + 15*c**2 - 55\/3*c**3. Find q, given that p(q) = 0.\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*q**2 - 47*q**2 - 12 + q + 13)*(173*q + 172*q - 171*q) in the form n*q**3 + o*q + w + b*q**2 and give n.\nAnswer: -9396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*s**3 + 4 - 40*s**3 + 4*s - 2*s**2 - 1 in the form j*s**3 + h*s + w + a*s**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4273 - 4253 = -4*l. Let q(c) = -3*c**2 - 4*c. Let h(u) = 0 - 3*u**2 - 2 + 2 - 3*u. Give l*h(o) + 4*q(o).\nAnswer: 3*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 6)*(-2*i + 5*i - i).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-8)*-44*(-4)\/10?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 11*g + 99. Give j(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/450*-2)\/(-13*22\/1430)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 3*r - 84 = 0. Let t = 43 - r. Solve -5*y + 2*n - 4 = -0*y, -3*n - t = 3*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175*z + 10 = -173*z. Solve 2*p = -3*i + 9, i - z = -5*p - 3*i for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = 10*q - 17*q. What is the remainder when 102 is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d + 5*d - 1 + 24*d.\nAnswer: 29*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(((m\/m**(-2\/3))\/m)\/m)))**(-1\/31)\/(m**0)**32 assuming m is positive.\nAnswer: m**(1\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 3:16 PM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -3*l. Let k(g) = 373726*g + 1. Calculate k(p(y)).\nAnswer: -1121178*y + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w**3 - 2*w**4 - 9*w + 89 - 2*w**3 - 47 - 62 as c + z*w**4 + l*w**2 + j*w**3 + d*w and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/5 - 932*f**2\/5 + 7328*f\/5.\nAnswer: 2*f*(f - 458)*(f - 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -135*y - 3355. What is the remainder when 629 is divided by d(-26)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000451438175 to seven decimal places.\nAnswer: -0.0004514","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44261045.\nAnswer: 5, 71, 124679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4\/9 - 29\/45. Suppose -45 + 6 = 3*q + 5*z, q + 16 = -2*z. Which is the nearest to 1\/2? (a) q (b) 1 (c) 6\/11 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -254, -1031, -2338, -4181, -6566, -9499, -12986, -17033?\n\"Answer: -y**3 - 259*y**2 + 7*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -602 or -815?\nAnswer: -602","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18268615 divided by -3653723.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -433620 (base 16) to base 7.\nAnswer: -52303614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -276738.\nAnswer: -830214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 78044 or 78663?\nAnswer: 78044","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 111*t**4 - 4589*t**3 + 14*t**2 + 30381519?\nAnswer: 444*t**3 - 13767*t**2 + 28*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1 - -3) + -3)*-7. Let t be ((-180)\/y)\/((-3)\/(-49000)). Round t to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*f - 8 = -2*u, 0 = -u - 2*f. Let s(k) = 21*k - 59. Is s(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 136 - 135.967. Let x = o + -0.433. Let t = -1.3 + 0.3. Put 1, t, x in descending order.\nAnswer: 1, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/2 + (-1 - 4). Let v = 9 + s. Suppose 9*o - 10 = v*o - 5*u, o + 5*u = 6. Which is the smallest value? (a) o (b) 1\/8 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 0.5, -5, -1\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6268272 is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 + -20. What is the second smallest value in -0.5, n, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4937026305?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -9 + (339 - 333) + 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -5. Let f be (w\/(-2))\/(4\/40). Solve -h - 2*t = -0*t + 12, -2*t - 20 = f*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -4*u**2 - 3*u. Let o(z) = 88*z**2 + 64*z + 11. Let s(f) = -22*f**2 - 16*f - 3. Let a(v) = 6*o(v) + 22*s(v). Calculate -3*a(x) - 32*t(x).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -133*b - 1. Let g be i(-3). Let f = g - 256. Suppose o + 71 = d - o, -2*d - o = -f. Is 23 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-760)\/40 - 1360\/(-70)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8180 is divided by 1360.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -1)\/(1 + 1). Suppose t = -0*m - 5*m + 85. List the prime factors of m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 16 = -5*k, -2*k = -5*k + 9 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17.0532381 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, 1\/4, -2\/25561, -2\/9?\nAnswer: -2\/25561","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -26\/33 greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 50*i**6*j - 4*i**3*j - 8*i**2*j + 2*i*j wrt i.\nAnswer: 6000*i**3*j - 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46.958 - -47. Round x to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -317*j + 920*j - 289*j - 210*j to the form m*j + h and give m.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1369108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1955078 to the nearest integer?\nAnswer: 1398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7, -3\/4, -1\/7, -16, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*o + 13*o + 8*o**2 - 2*o**2 - 2*o**2 + 5*o**2 + (1 + 0 + 0)*(-2*o**2 - 4 + 4).\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.28*0.59396\nAnswer: -0.1663088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and ((-340)\/(-408))\/(2\/14556) - -4.\nAnswer: 48552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29 + 28.9. What is the third biggest value in -1\/8, 2\/5, b?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 + 2*z - 1. Let p be d(1). Let f be -1 - -1 - p\/8. Suppose f = 2*x + 3*x - 445. Is x a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12 - 56*l + 39*l**2 + 26*l**2 - 74*l**2.\nAnswer: -(l + 6)*(9*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2214365?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -11, 215, 2, -1 in decreasing order.\nAnswer: 215, 11, 2, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 558844, 1117515, 1676180, 2234839, 2793492?\n\"Answer: -3*s**2 + 558680*s + 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 AM and 8:42 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 410430 (base 6) in base 12?\nAnswer: 16a16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -8408 at most as big as -42044\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -29*q - 293. Give c(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6669, -13368, -20097, -26856?\n\"Answer: -15*j**2 - 6654*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -66 + 59. Let y = 23 - 4. Let i = y + s. Does 4 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -20*z**2 - 77*z - 4. Determine p(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24.7 + -25. Which is the biggest value? (a) o (b) -10 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 4*d + 26 = 0, h = -0*h + 5*d + 22 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**2\/7 + 908*p\/7 + 130 = 0. Calculate p.\nAnswer: -1, 455","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -107746167 by -3.\nAnswer: 35915389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -q**5\/60 - q**4\/3 - 3*q**3\/2 - 2*q**2 + q. Let g(a) be the first derivative of w(a). Give g(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -854*b**2 + b**3 - 862*b**2 - 2371*b - 1210*b + 1716*b**2 to q*b + g*b**2 + d*b**3 + k and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, h: 6}. What is prob of sequence hih?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = 2*p - 3*f, -14*p + 3*f + 69 = -8*p for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44457\/(-10731))\/(1\/7)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-5) + 196\/10. Suppose 3*i = -i + a. Suppose x - 5*x = 3*l - 115, -i*x + 3*l = -110. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, p: 2, e: 1}. Give prob of picking 2 s.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -11 (b) -0.3 (c) 1\/10 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0353 + -0.0555. Is 0.2 at most z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vggvv. What is prob of picking 2 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 2*a + 10, 5*a = 6*z - 3*z - 17. Suppose 0 = b - 72 - z. Suppose b = 2*l + 2*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37*q**3 - 612*q - 38681 wrt q.\nAnswer: -111*q**2 - 612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 380.\nAnswer: 1140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 562\/5 + (-10)\/25. Let d be -2 - (1 + -2 - 26). Suppose 21*n - d*n = -64. What is the greatest common divisor of j and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 0. Let l = x - 4. Suppose 2*d + l = 5*f + 4*d, 0 = 5*d + 10. Sort -1, f, -4 in decreasing order.\nAnswer: f, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -24 + 4. Suppose j*a - 9 = 2*u - u, -20 = 4*u. Let x be 5*a\/(0 + 1). Solve 4*b - x + 25 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1960*f + 3989*f + 4715*f - 1093*f)*((5*f - 6*f - f)*(4*f**2 - 4*f**2 - 2*f**2) - 5*f**3 + 2*f**3 + f**3).\nAnswer: 19142*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 1332 = -24*a + 25*a, -2216 = -5*t + 3*a. Let h = 845 - t. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2*j = 0, 3*j - 2 = 7. Suppose a*l + 12 = 4*l. What is the third derivative of 16*g**2 - 5*g**3 - l*g**3 + 3 - 3 wrt g?\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 297 - 292. Let s = -109 + 547\/5. What is the closest to -1 in t, s, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 423 divided by -141.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 89*r**2 + 883*r + 2. Let j be v(-10). Solve 0 = -n + 75 - j for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 + -0.1. Let n = 14749 + -14748.2. Which is the third smallest value? (a) n (b) f (c) 2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7724 in 2\/27, 0.3, -6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 5*u + 2. Let t be x(-6). What is the smallest value in 0.2, t, -0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11609142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -165 - -164.93. Let n = -0.7 + -0.3. Which is the second smallest value? (a) n (b) h (c) 0.2 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 125775241+361\nAnswer: 125775602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42952 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 56 = -4*r, -u + 7*r = 3*r - 16. Solve -4*c - 5*l + u = -5*c, -5*l + 20 = -2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -21699*a - 43543. Determine p(-2).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2849*q**2 - 1758*q**2 - 633*q**2 + 10762*q**2 + 16558*q**2 as x*q**2 + v + n*q and give x.\nAnswer: 22080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kb when two letters picked without replacement from {g: 3, k: 1, b: 4}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/825*15 + (-2 - (-42)\/22). Suppose 7\/3*r**2 + x*r - 1\/3*r**3 + 0 = 0. What is r?\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51546917 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 322, 626, 930?\n\"Answer: 304*h + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19401 + 19507. Solve -k*b + 42 = -99*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -308 <= -308?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 17*u**2 + 3*u - 49. Let c be y(17). Suppose 0 = -h + c*n + 8, 0 = 7*h - 3*h + 2*n - 2. Solve 2*q + 21 = 5*z, 2*z = -h*q + 15 - 1 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84 and 154?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49 - 47. Let g be (1 - 11\/f)*20\/15. What are the prime factors of (0 - g)\/(462\/152 + -3)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 195 - 194. Let i = 38 + 11. What is the greatest common divisor of i and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -163, -0.5, -6, -1, -0.3, 2 in descending order.\nAnswer: 2, -0.3, -0.5, -1, -6, -163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -3*w + 3*b + 22, 0 = -3*w - 3*b + 30. Let d = 12 - w. Solve d*h = -p - 2, 5*h - 4*p = p + 10 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001011483 to six decimal places.\nAnswer: -0.001011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*s - 42*s - 432 = -4*s for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 6*b**2 - 7*b - 6. Let q be y(-7). Let k = q - -11. What is the third derivative of f**2 - 3*f**2 - f**5 + 2*f**k wrt f?\nAnswer: 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**2 - 10*c - 5. Let f(o) = 3*o**2 + 14*o + 7. Let u(t) = -7*d(t) - 5*f(t). Let y(h) = 9*h**2 - h + 2. Determine 5*u(j) + y(j).\nAnswer: 4*j**2 - j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of 2\/15*k**6 + 1\/10*k**5 + 1\/21*k**7 - 11*k + 0*k**3 + 0*k**4 + 0 + 0*k**2. Factor f(l).\nAnswer: 2*l**3*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 134022095 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3188 in 3\/8, 1, -1\/6, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000067 to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + 15*w - 11. Let g be i(-16). Solve 3*q - 5 = -2*q - g*r, 5*q = -r + 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 110 + -70. Is h a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*m = -13*m - 82*x + 326*x + 1471, x = 4*m + 22 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 214 = -2*i, -5*i + 158 = 3*w + w. Let j = w + -33. Suppose -j*p + 70 = -4*p. Is 14 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -571 at least -2838?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -12. Let i = -1 - -1.1. What is the closest to 0 in w, i, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 6:18 PM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86.72261 years to millennia.\nAnswer: 0.08672261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2818*g**2 + 2218 wrt g.\nAnswer: 5636*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.775 + -0.265. Let x = -0.04 - i. Let y be (4\/16)\/((-6)\/16). Put y, 1, x in descending order.\nAnswer: x, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 - j + 20. Let i be l(0). Let n = 24 - i. Suppose n*r = 3*v + 3*r - 133, -r = -2*v + 89. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6872683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 - 434*n + 6039*n**2 + n**4 - 6040*n**2 + n**4 + n**3 in the form d*n**4 + t*n + r*n**2 + l*n**3 + w and give t.\nAnswer: -434","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14129383 is divided by 1575.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 120314280 rounded to the nearest 1000000?\nAnswer: 120000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 111514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, w: 5, c: 4, e: 4}. What is prob of sequence ses?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g**3 - g**2 - 2*g - 1. Let b be y(-1). Suppose b*s = s + 14. Suppose -s*p = -5*o - 3*p + 21, -3*o - p = 1. Solve -3 = -m + o for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l - 3. Let a be g(-7). Suppose -5*b - 45 = 5*m, 0 = 2*m + b + a + 2. Let q = m + 9. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/1784 and -133\/7680?\nAnswer: 1712640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 2)*(36*w**4 + 1095986*w - 62*w**2 + 2*w**3 - 1095986*w + 29*w**4) in the form k*w**4 + a*w + v*w**2 + x + f*w**3 and give k.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-18 - (-41 - -47)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35 and 22806.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q**2 - 3551*q + 3551*q.\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 - 1)\/(-5)*782\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = -c + 5*k, 2*k + 38 = -451*c + 446*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -h - 35 + 8, -4*h = 2*g - 2. Suppose -6 = -2*o + 4*j + 16, g = o + 5*j. Calculate the remainder when 43 is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -669860.8 rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 11. Suppose -w = -5*y + 4*y + 10, 34 = c*y - 4*w. Suppose 5*g + 29 = 5*v + y*g, 0 = -2*g - 2. What is the least common multiple of v and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + o**2 + o + 1. Let f(z) = 2*z**3 - 4*z**2 - 8*z - 2. Let n(i) = -5*f(i) + 15*m(i). Factor n(d).\nAnswer: 5*(d + 1)**2*(d + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -552 (b) 4 (c) 1677 (d) 11 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.043 (b) -3 (c) 6 (d) 4\/3 (e) 9\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170*y - 341*y + 141*y - 339*y.\nAnswer: -709*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130162.38 nanoseconds to minutes.\nAnswer: 0.000002169373","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 61522 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-287)\/82*(-16)\/(-7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*a = a - 1430, 4*q + a = 2825. What is the remainder when q is divided by 352?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, -21, -123, -289?\nAnswer: -519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26106039.\nAnswer: 3, 829, 3499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 38392829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -9 + 5 - 12*g + 4*g**2 + 12*g**2. Let b(k) = -17*k**2 + 13*k + 4. Let s(r) = 4*b(r) + 6*f(r). Factor s(o).\nAnswer: 4*(o - 1)*(7*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 6*t - 4. Let g be t + 80\/(-36) - 38\/(-9). Suppose -g*n + 84 = -n. Calculate the remainder when 83 is divided by n.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l - 3*v + 3, 3*v = 36*l - 33*l - 15 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7715 + 1989 = -7*j. Let c = 1016 - j. List the prime factors of c.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/(-17))\/(((-2)\/(-2)*-1)\/(-4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4981956?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -36\/5 or -8?\nAnswer: -36\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + i - 3 = 19, -i = -4*b + 23. Let r(z) be the first derivative of 0*z**3 + 0*z + 1\/15*z**6 - 1\/10*z**4 + 0*z**2 + 0*z**b + 6. Factor r(f).\nAnswer: 2*f**3*(f - 1)*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of -z**6\/40 + 3*z**5\/20 + z**4\/8 - 3*z**3\/2 - 51*z**2\/2 - 9*z - 2. Let o(q) be the first derivative of i(q). Factor o(p).\nAnswer: -3*(p - 3)*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + 111*y + 1022. Let m be u(-10). Solve 3*x = -l - 13, 4*l + m*x + 19 = 11*x for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 5*a**2 + a - 7. Let p = -85 + 104. Suppose -5*q + 0*q - 3*x = p, 0 = -5*x + 10. Determine y(q).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -7, 2444, -5 in descending order.\nAnswer: 2444, 12, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 18260 to the power of 1\/2, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/8 + (-117)\/(-12). Solve -o = o + v for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19362638?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 19*u - 7. Let d(z) = 10*z - 3. Let q(a) = 5*d(a) - 3*f(a). Let b be q(5). Let i = b - -59. Calculate the highest common factor of i and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**2 + 5 + 8 + 0*w**2 - 9*w - 5. Is 16 a factor of m(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4 + 3*w - 12 + 5 + 4. Let s(p) = 0 - 9 - 1 + 2*p. Let h be s(7). Calculate a(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10209 - 945?\nAnswer: -11154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 171a9?\nAnswer: -171a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15.953*-13171.\nAnswer: -210116.963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2181427 is divided by 3166?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 288.137 rounded to the nearest ten?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25.258939 - -25.248. Round c to 3 decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16645729 or 16645745?\nAnswer: 16645729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -8. Let k = 0.1 + 0. Let v = 9 + -4. Which is the closest to s? (a) k (b) v (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213*t - 7290 - 6735 = 2*t + 24*t for t.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ox when two letters picked without replacement from {o: 1, b: 4, x: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 72, 114, 164, 222?\nAnswer: 288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2*(10 + -3 + 2) and (20\/12*-3)\/(0 + -1).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w = 108*w - 6528. What is the remainder when 7003 is divided by w?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p. Let j(v) = 166*v**2 + 20*v + 2. Determine j(y(i)).\nAnswer: 166*i**2 - 20*i + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.63 - 0.93. Let w = -15\/34 - 1\/17. Sort 0.3, y, w, 1\/2 in increasing order.\nAnswer: w, y, 0.3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17199547 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 + 0)*(-11*g**3 + g**3 - 19*g**3)*(-4 + 5 + 1) + (-g**2 + 4*g**2 - 2*g**2)*(-3*g - 3*g + 5*g) to t*g**3 + y*g + v*g**2 + a and give t.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -400 and -64.669?\nAnswer: 25867.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 18?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b**2 + 2*b + 3. Is a(17) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*d + 17 = 4*d, -4*z + 4*d - 16 = 0. Let i be 0*(2 + z\/6). Solve -3*l = -i*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18\/27 + (-341)\/(-1005) + -1. Let w = -327\/1340 - t. Let d = -4 - -34\/9. Which is the third biggest value? (a) 2\/9 (b) d (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 < -3501798\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 11) in base 14?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -536488122 to the nearest ten thousand.\nAnswer: -536490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0.2 (b) -627.2 (c) -5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 8*c + 119. Let y be u(-20). Let i = y - -149. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -r**5 + 12*r**4 - 22025*r**3 + 53589*r + 3 wrt r.\nAnswer: -20*r**3 + 144*r**2 - 132150*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5996172 and 48.\nAnswer: 23984688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65 - (151 - (16 - 4))?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a meter in centimeters?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 37750730 rounded to the nearest 1000000?\nAnswer: 38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o**3 + 0*o**2 + 0*o**2 - 178468 + 178478.\nAnswer: -5*o**3 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -18. Suppose 1235*w - 214 = 1222*w - 6. Calculate the least common multiple of w and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1909.\nAnswer: 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 159*s**4 + 93*s**2 - 55*s**2 - s**3 + 11*s**4 + 0*s**3 wrt s?\nAnswer: 4080*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-2)*1\/(-6).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, d: 1, b: 1, z: 1, e: 1}. Give prob of picking 1 b and 1 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25\/42 - -3\/7. Let j = -427.2 + 427. What is the nearest to j in 0, d, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 + 2 - 3 - 2*b + 13*b**2. Let n be c(-1). Solve 4*y - 2*u - n = 13, -3*y - 4*u - 8 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 680 and 17867?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*r - 33*r + 4*z = 475, 1015 = 2*r - 5*z. Calculate the greatest common divisor of r and 90.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 7*j**2 + j + 58. Give d(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13489 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 17*f + 2. Let q(j) = 11*j + 1. What is -5*k(l) + 8*q(l)?\nAnswer: 3*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 531.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10285137817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1260 + 1257. Suppose -y - y - 430 = -2*d, y + d = -215. What are the prime factors of b\/1 - (-5 + y + -3)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and -1601?\nAnswer: 1599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 3 + ((sqrt(325)*-3 - sqrt(325)) + -1*(sqrt(13) + -3))*-3 + 1)**2.\nAnswer: -882*sqrt(13) + 51646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3204762667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*r + 145*r - 15 = 0, -5*c + 17 = 4*r for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -r**4\/12 + 25*r**3\/6 - 20*r**2 + 47*r. What is the units digit of m(22)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1758330922 and 41.\nAnswer: 1758330963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 165173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - t = 4, 6 = 5*l + 5*t - 3*t. Suppose -l*s + 256 = -p - 86, 2*p = 0. Is 2\/9 less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(-5)*b**(-3)*b**(-6)\/(b**(-6)*b*b))\/((b**0)**(-5\/7)\/(b**(1\/5)\/(b*b\/(b*b**(-2\/13))))) assuming b is positive.\nAnswer: b**(-582\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 f when three letters picked without replacement from ppppppppppfppppppp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 642\/9 + 2\/3. Calculate the highest common divisor of 180 and y.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01396 times -2?\nAnswer: -0.02792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 15 = -v + s, 3*v + s + 10 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 341622.\nAnswer: 2, 3, 18979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aama when four letters picked without replacement from mmmammmmmmmammmmmmmm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 644 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + 5*f + 1. Let i be s(-5). Suppose 5*o + 4*j = -i, 5*o - 2*j + 4*j - 7 = 0. Solve 0 = 2*k - 10, 2*x - o*k = k - 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 33 = -o + 2*o, 4*u = 3*o - 83. Calculate the remainder when 169 is divided by o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3027, -9, 3\/2 in descending order.\nAnswer: 3027, 3\/2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2123195 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 11*c**2 + 21*c - 13. What is the lowest common multiple of d(9) and 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 20 + 3?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86269434 divided by -554.\nAnswer: 155721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17441793, 17441810, 17441827?\nAnswer: 17441844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24.8 + -24.506. Round s to 2 decimal places.\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 4180\nAnswer: 1672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-9)*m)\/m**(-2\/19))\/(m**0\/(m*m\/m**(2\/7))) assuming m is positive.\nAnswer: m**(-689\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (11\/((-1848)\/(-47568)))\/(5\/(-14)). Is a != 1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 9*p**3 - 6*p + 6. Let f(a) be the third derivative of -2*a**2 + 0*a**5 - 13\/24*a**4 + 13\/6*a**3 + 19\/120*a**6 + 0 + 0*a. Determine -6*f(h) + 13*o(h).\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 12*x - 16. What is q(9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.13, 2\/3, -1\/14 in descending order.\nAnswer: 2\/3, -1\/14, -0.13, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 27912, 0.04, 2\/3, -0.06, -1 in descending order.\nAnswer: 27912, 2\/3, 0.04, -0.06, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -3*r - 3, 2*r - 105*w + 2 = -109*w. Let g(d) = -d - 1. Let a(k) = 6*k. Give r*a(z) - 5*g(z).\nAnswer: -z + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 12235?\nAnswer: -1223.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a**2. Let g(d) = -5*d**2 + 2. Let z(p) = -45 + 12*p**2 + 2*p + 98*p**2 - 2*p. Let f(t) = -45*g(t) - 2*z(t). What is h(f(s))?\nAnswer: 50*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 815622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 23, 0.3, -0.25?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -4, -4*q + 107 = t - 281. What is the highest common divisor of t and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 284539 is divided by 9468?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/2 of a week in hours?\nAnswer: 4620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47 + 80. Let z = 35 - m. Which is smaller: 0 or z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -212996971*0.1\nAnswer: -21299697.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*v - 4 = 3*g, -3*g + v - 8 = 0. Let a(f) = f**2 + 2*f - 3. What is a(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f**3*i*l**2 + 35*f**3*l**2 + 6*f**3*l + 15*f**2*l + i*l - 2*l**4 wrt l?\nAnswer: -2*f**3*i + 70*f**3 - 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-19 - (-14 - (-6 + 21))) + 1 + -1\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241797 + 1407087 + 1500090 = 23985*c - 2490*c for c.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 1092*p + 5460. Calculate r(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8717*o = 9*r - 8718*o + 9, r - 2*o - 16 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208) + 1)*2 - (sqrt(208) + (sqrt(208) - (0 + sqrt(208) + 0))**2) - ((sqrt(52)\/sqrt(16) - sqrt(13)) + 4 + 1*sqrt(13))*1) + 2 + 1.\nAnswer: 1 + 7*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*8\/1560*6?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -25, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 15*g + 124. Give l(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 11*b - 9023 = 0, 104*b = -4*u + 100*b + 35812. Calculate the highest common divisor of 36 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/6)\/(60\/(-1332)))\/(-2*(-3)\/(-30))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.2 (b) 1\/8 (c) -3\/5 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + 1 - 23) + 389160\/20680.\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j**2 - 3 - 352*j**3 - 6 - 3*j**2 + 348*j**3 as m*j**2 + p + l*j**3 + f*j and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(-10)*239*-2*1. Let f(j) = -118 - 115 + z + 7*j. Let v(i) = 91*i + 77. What is -77*f(s) + 6*v(s)?\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -a**4\/4 - a**2\/2 - a - 1. What is the units digit of d(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 7*g**2 - 16*g + 2. Suppose -14 = -6*j - 56. Does 38 divide o(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*m + 27 = 0, 5*j - 5*m = -31 + 181. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -15*h - 50. Let z(m) = 26*m + 96. What is 7*q(f) + 4*z(f)?\nAnswer: -f + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - ((-18 - -53) + -89 + (1 - -6)).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5296.\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -16*x**3\/3 + x**2\/2 - 5*x - 5. Let k(u) = 3*u**2 + 1. Suppose 5*a = -1 - 9. What is a*l(i) - 11*k(i)?\nAnswer: -i**2 - 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -199, 3 in ascending order.\nAnswer: -199, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 374 - 250. Suppose -3*n - z = -7*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -2 + (-19 - -31) + 55 + -52.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.06215 + -0.6360829.\nAnswer: 0.4260671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*1\/2*-3. Let w be (-1)\/(-3)*9 - 6. Let c(a) = a + 5. Let u be c(w). Solve -10 = -u*z, -z - p = 3*h - 11 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8151036790 to the power of 1\/3, to the nearest integer?\nAnswer: 2013","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 94 or 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 689847, -0.4, 2, -3\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 284547911.\nAnswer: 199, 1429889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33*h**3*m**2 - 24*h**3 + 3*h**2*m**2 + 6*h**2*m - m**4 wrt m?\nAnswer: 66*h**3 + 6*h**2 - 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1ba - 15?\nAnswer: -1d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 154 = -14*d. Solve 2*q = -6 + d for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 568 = 5*j - 2*l, -4*j = 5*l - 4*l - 457. Suppose 3*m = 27 + j. What is the remainder when m is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeaeeheeieeeaee. Give prob of picking 3 e.\nAnswer: 143\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(-5) - (-9 + 2). Suppose 2*p + 6*u = 2*u - 8, 2*p = 5*u - 17. Let z be (v + (0 - 2))*(-9)\/p. Solve -2*d + 9 = -3*w - z, 3*w + 2*d + 6 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 49, -182, -1 in increasing order.\nAnswer: -182, -4, -1, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2*k - 12, 4*q - 2*k + 12 = -48. Let j = q - -16. Let a be j*(10\/(-3) + 3). Solve -w = -2 - a for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -11000?\nAnswer: -11002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w - 5*w - 10*w**2)*(-5*w**3 + 13*w**3 + 8*w**3).\nAnswer: -160*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -51, 3 in ascending order.\nAnswer: -51, -20, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-786*z + 384*z - 2994 - 7446 + 396*z)*(0*z**2 - 2*z**2 + z**2) to o*z**2 + r + m*z**3 + c*z and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 137701534*k*v + 36*v - 1484293 wrt k?\nAnswer: 137701534*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65499 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 8*g**3 + g**2 - g - 1. Calculate f(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/16 + (3\/(-1))\/(-6)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 10 = 2*s, -2 = 7*n - 4*n - 2*s. Let w(t) be the third derivative of 0 - 1\/270*t**5 + 0*t - 1\/27*t**3 - 1\/54*t**4 - n*t**2. Factor w(v).\nAnswer: -2*(v + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -9*o - 7. Determine d(-8).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -6 + 26. Let d = z + -2. Calculate the remainder when (-76)\/(-24) - (-2)\/(-12) is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1800778 divided by -2\nAnswer: -900389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -330 - -470. Let h(x) = x**3 + 49*x**2 - 23*x + 4164. Let i be h(-51). Solve -u = l - i for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1184 - 1184.2. Which is the second smallest value? (a) h (b) 0.33 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + y + 2*y**2)*(0*y + 4*y - 3*y) - 4*y**3 + 2*y**3 + y**3 + (-4 + 4 + 4*y)*(36*y - 36*y + 11*y**2).\nAnswer: 45*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 AM and 11:40 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*a + 7895830 = -3113811 - 8577533. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1505870169?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -20725232 divided by 16\nAnswer: -1295327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -76 - 0?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -5, -33 in decreasing order.\nAnswer: 28, -5, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 534889909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -3*p + 3, -5*u - u + u = -5*p - 2*u + 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2312093 - -2312089.911283. Let o = 0.088687 + a. Let f = 3 + o. What is f rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 55*g**2 + 5 - 9 + 4 as i*g**2 + q + a*g and give i.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 128\/(-70) - 14*11\/(-110)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (((-3)\/3)\/2)\/((-1)\/78). Suppose t + s = 47. What is the least common multiple of 50 and t?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-14)*u*u**(-8) assuming u is positive.\nAnswer: u**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 22 (b) 0 (c) -0.2 (d) 0.1 (e) 0.46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -38553, -154625, -348085, -618939, -967193, -1392853, -1895925, -2476415?\n\"Answer: -p**3 - 38688*p**2 - p + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000736672137 rounded to seven decimal places?\nAnswer: 0.0000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168873.\nAnswer: 3, 181, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 11*d**3 + 13*d**2 - 6*d. Let f be 2\/(7*(-2)\/(-119)). Suppose f*m - 76 - 26 = 0. Let i(v) = 5*v**3 + 6*v**2 - 3*v. What is m*w(o) - 13*i(o)?\nAnswer: o**3 + 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*d - 80*d = 80 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 27*x - 2. Let m be g(-1). Let h = m + 64. Suppose -h*c + 268 = -31*c. What are the prime factors of c?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 9*m - 4. Give f(6).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 413 + -132234044?\nAnswer: -132233131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 173, 73, -1263, -4795, -11483, -22287, -38167, -60083?\n\"Answer: -160*k**3 + 342*k**2 - 6*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 127960634 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -2*x - 21, 5*k - 4*x = 2*k + 7. Solve k*q = -20 + 5, 4*d + 2*q + 6 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.25 + -3.75. Which is the second smallest value? (a) g (b) 0.7 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/13 + (-2880)\/(-468). Suppose -172 = w*z - 184. Solve r + 3\/2 + 1\/6*r**z = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4176698 divided by 3?\nAnswer: 4176698\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.634 - 2.694. Sort z, 1, -2\/13, -1\/2, 5 in increasing order.\nAnswer: -1\/2, -2\/13, z, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13021 (base 4) to base 12.\nAnswer: -321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -65.3 (b) 1 (c) 0.3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1810, 1840, 1872, 1918, 1990, 2100?\n\"Answer: 2*f**3 - 11*f**2 + 49*f + 1770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/2548 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 8*g**2 + 10*g - 8. Suppose 0 = -5*h + 34 + 1. Let u = -7 + 16. What is the remainder when z(h) is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 2:54 PM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1\/10)*a*a*a\/(a**(-3)\/a) assuming a is positive.\nAnswer: a**(69\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -283741*a**3 - 427031*a**2 wrt a?\nAnswer: -1702446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -o**4\/12 + o**2. Let j(q) = -24*q**2. Let v(m) = 3*m**2. Let d(n) = 4*j(n) + 33*v(n). What is d(l(w))?\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 19824\/9 - (-3)\/9 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 665, 3458\/11?\nAnswer: 665","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**4\/3 - 674*c**3\/3 - 1342*c**2\/3 - 670*c\/3.\nAnswer: -2*c*(c + 1)**2*(c + 335)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/62 and 79\/23332.\nAnswer: 723292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 15, f + 5*o + 102356 - 18098 = 0. Let m = -44243 - f. Round m to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.25795 centimeters in micrometers?\nAnswer: 2579.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -364 = -3*u - u. Suppose -88*p + 12763 + 4868 = 2143. Calculate the remainder when p is divided by u.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 1173, 11\/4, 0.3, -0.5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2245443 to the power of 1\/3, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*x - 31*x + 4 = 0. What is the greatest common factor of x and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 2*u - 24457, 92*u = 89*u - 5*k + 36648. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g**5 - 1220*g**4 + 8805*g**3 + 4760*g**2 - 65500*g - 60240 = 0.\nAnswer: -251, -2, -1, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**3 + v**2 - 58*v - 42*v**4 + 44*v**4 + 174*v + 2 + 127*v to the form s*v + o*v**2 + d*v**3 + m + b*v**4 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.2 - -2.2045. Round d to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 13*w + 3. Let a(t) = 220*t + 50. What is 3*a(o) - 50*y(o)?\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 45278657?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 126.82331 < -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k - 6 + 0 + 2 + 4.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 0*k + 0*k - k. Let l(d) = 648 - 648 - 7*d. What is g(l(q))?\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-17 + 1)\/2 + (6 - 2). Let k(s) = -15849*s + 4. Let j be k(u). What is j rounded to the nearest 1000?\nAnswer: 63000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fm when two letters picked without replacement from feeeqnmqqznq.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 455 and 3055?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**2 - 14*u + 25. Is c(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-23)\/18 - 10\/45. Which is the biggest value? (a) -1 (b) 5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 c when four letters picked without replacement from {c: 2, t: 4}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -10, -5*p = -5*z + 3*z + 7. Suppose 4*s + 3*g - 252 = 0, -4*g + 94 = 4*s - 162. Calculate the remainder when s is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*k + 2*k. Let j(n) = 4*n + 2. Let i be j(k). Let d = i - 16. Solve 2*b = -0 + d for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 + 3*j**2 - 3*j**2)*(-2*j - 1580 - 1579 + 3162).\nAnswer: -2*j**3 + 3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*sqrt(720)*3)\/(2*sqrt(4)*3 + sqrt(4) - (-1*sqrt(484) + sqrt(4))).\nAnswer: 108*sqrt(5)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -14*b**3 + 8*b**2 - 8*b + 27. Let m(h) = 9*h**3 - 5*h**2 + 5*h - 18. Calculate -5*k(s) - 8*m(s).\nAnswer: -2*s**3 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -253141 by 1.\nAnswer: -253141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.679 - 3.1. Let m = g + -76.979. Let i = m - -76. Which is the smallest value? (a) 0.5 (b) -2\/9 (c) -1\/10 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (4 + -2) - 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25230919*k**3 + 25473150*k?\nAnswer: 151385514*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2356 and 1261011.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 913 + -625. Let b = -287 + u. Put b, 4, 0, 5 in ascending order.\nAnswer: 0, b, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 130 and 2391870.\nAnswer: 2391870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4076?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1175*z = 3205*z + 127972 + 30529 - 4221 for z.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0\/5 - (-15)\/6)*300. Let b = 1519 - i. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (91\/(-7) + 14)*17. Solve c*i + 2 = 19*i + 4*f, i - 4*f = -17 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4221 + 3?\nAnswer: 4224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -512 - 474?\nAnswer: -986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -11\/5 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -365*y + 146. Let a(t) = -t + 1. Determine 146*a(o) - g(o).\nAnswer: 219*o","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - 20*y + 71. Give m(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*g - 4 + 4)*(3 - 1 + 1) - 4 + 3*g - 2 - 2*g)*(-3 + 3 - 2*g) + (0*g**2 - g**2 + 3*g**2)*(5 + 0 - 4) + 0*g**2 - 3*g**2 + 0*g**2.\nAnswer: -27*g**2 + 12*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1641 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -6.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f - 3*u - 11, -9 = -f - 0*f + 5*u for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2251 or -2258?\nAnswer: -2258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/496 and -87\/31384.\nAnswer: 1945808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) 37 (b) -1\/2 (c) 1 (d) 1\/8 (e) -0.3135\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 587987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -6*z**2 - 88*z - 31. Calculate the lowest common multiple of 45 and q(-14).\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1501960071?\nAnswer: 3, 1979, 252983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155*g + 15*g**2 + g**3 - 15*g**2 - 17.\nAnswer: g**3 - 155*g - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18796 is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*m**2 + 146662*m - 28*m**2 - 146662*m.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of -v**4\/6 + 183*v + 5. Let d(b) = 72*b. Give s(d(n)).\nAnswer: -10368*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*s + 3 = -35*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/6*(-1296)\/(-756)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 140371 + -24003368\/171. Calculate the common denominator of -113\/12 and k.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.15 - -8.15. Let s = n - 12. Let r = s + 4. Which is the second smallest value? (a) r (b) 4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ibssi. What is prob of sequence ss?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3882 and 26228733?\nAnswer: 1941","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -7*h**3 - h**2 - 2*h + 1. Let j be p(-2). Suppose -j = -5*c + 3*z, -7*c + 6*c + 5 = z. What is the fourth biggest value in -1, 3, c, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/5, -0.4, -1564, -11, -2?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 161227887, 161227891, 161227895?\nAnswer: 161227899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + g - 7. Let a(k) = -k**3 - 2*k**2 + 5. Let w(x) = 3*a(x) + 4*h(x). What is w(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 9.419840231 and 97.\nAnswer: 106.419840231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 15 = m. Let w(v) = 10*v - 22*v + 13*v + v**2 - 4. What is w(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162*y = 169*y - 84. Calculate the least common multiple of 452 and y.\nAnswer: 1356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 653874, 2615656, 5885290, 10462776, 16348114, 23541304?\n\"Answer: 653926*j**2 + 4*j - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1678 in -0.04805, -3\/8, -0.2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 12:56 PM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 6:32 AM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 2*i - i)*(3 - 3 - 4)*(-i + 3 - 2 + 2).\nAnswer: -8*i**2 + 24*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n = 2*o, 51*n - 8*n + 107*o = 104*o + 62 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*r + 5 + 13. Suppose r*d = 7*d - 20. Suppose -3*v - v + 9560 = d*h, -3*v + 2380 = h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.79 or 3?\nAnswer: -2.79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/(-21)*(7 - 1). Let w be ((-60)\/(-80))\/(f\/(-24)). Calculate the highest common divisor of w and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/9, 22\/5, 0?\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2266*c**4 + 392*c + 2. Let p(g) = -9066*g**4 - 1569*g - 9. Let o(t) = -21*n(t) - 5*p(t). Find the second derivative of o(l) wrt l.\nAnswer: -27072*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15092?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 446*i + 56846 = 650. Suppose 2*q - 4*s - 260 = -0*q, -4*s = 4. Let a = i + q. Solve a*k + b - 4*b = 0, 0 = -3*k - 2*b for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y*y**1)\/y)**(-1\/62)\/(y**(1\/4))**(1\/5) assuming y is positive.\nAnswer: y**(-51\/620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-7)\/(-126)*6\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - i + 95, -3*i - 279 = -3*p - 6. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 105*n**3 + 9*n + 1. What are the prime factors of d(2)?\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of k**5\/8 + 5*k**4\/8 + 5*k**3\/6 - 85*k + 1. Let g(v) = 0. Calculate v.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1380 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2519506 and 385814.\nAnswer: 1562","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a milligram in micrograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 2:34 PM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (2*sqrt(51))\/sqrt(3) + 5*sqrt(17) + -5 + -4)*-4.\nAnswer: -28*sqrt(17) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6776 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 27 (c) -3\/11912\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25 by -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -192991028.2 rounded to the nearest one million?\nAnswer: -193000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 810.964ml?\nAnswer: 0.810964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 0, 2, 244 in ascending order.\nAnswer: 0, 2\/3, 2, 244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2093 and 59643493?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y - 3. Let t(q) = 3*q - 4. Let m(j) = -4*r(j) + 3*t(j). Let p(k) = -3*k - 1. Let x(d) = -6*m(d) - 3*p(d). What is the units digit of x(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -4790.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 246 and 2271318?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 1. Let y(k) = -k**2 + 8*k - 8. Let c be y(i). What is the highest common factor of c and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v - 6*v - 8*v)*(-4 - 3 - 4).\nAnswer: 110*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 3) in base 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -178416 divided by -72?\nAnswer: 2478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 4 - j)*(-15 + 10 + 9) + (7*j - 7*j - 5*j)*(0 + 4 - 2).\nAnswer: -14*j + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - 4 + 4)*(-62*h + 41*h**2 - 10*h**2 + 64*h).\nAnswer: -31*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {k: 5, d: 5, u: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -17*z - 1. Let r(a) = -a**3 + 5*a**2 + 5*a. Let q be r(6). Let n be t(q). Let v = -68 + n. Solve 2*h + 3*k + 7 = 0, 2*h - 3*k - v = 2*k for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -652763\/50 and -13055 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w + 5. Suppose -3*c = 2*b - 11, -2*c + 6 = -3*b + 5*b. Let m(y) = -8*y + 21. Determine b*m(x) + 9*n(x).\nAnswer: -2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70461 divided by 8.\nAnswer: 70461\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -180b + 1?\nAnswer: -180a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 158062 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - 0 - 4\/(-14). Let o = 6 + 2. Suppose -2*z = o, -3*p + 4*z + 8 + 8 = 0. Which is bigger: m or p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203055 is divided by 1216?\nAnswer: 1199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -3*v**3 + 2*v**2 + 2*v + 1. Let q be l(-1). Let d = q + 0. Solve -14 = d*i - 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**3 + t**2 + t. Let l be g(-1). Solve 2 = r + 4*w, -l + 4 = 2*w for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1594 and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 318797?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -774 at most as big as 7866?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -3*c**5 + 462*c**4 - 5250*c**3 + 19776*c**2 - 25635*c + 10650 = 0?\nAnswer: 1, 5, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d - 5. Let s be t(-5). Solve 1 = 3*c - s for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2084716536?\nAnswer: 2, 3, 7, 163, 76129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 657750*d**4 + 358575 wrt d.\nAnswer: 2631000*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of 28*z**3\/3 - 5*z**2\/2 + z + 36. What is the second derivative of p(g) wrt g?\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 9 = -5*x, 4*z = 2*x - 8 + 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 1083*d. Let x(z) = 7*z + 3. Let o(t) = 20*t + 9. Let c(b) = o(b) - 3*x(b). What is c(q(s))?\nAnswer: -1083*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 - -101100101111011?\nAnswer: 101100101110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x**3 + 5*x**2 + 6*x - 6. Let y be j(5). Is (-16)\/72 - y\/9 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((-3 - -12) + -13)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - w - 1864, -4*f = -0*f + w - 1493. Let s = f + -259. Suppose -166 = -8*b + s. Is b a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + 1182a4?\nAnswer: 1182a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44087 is divided by 630?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1544461?\nAnswer: 73, 21157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 163*m**2. Let s(t) = 7*t**2. Calculate s(x(q)).\nAnswer: 185983*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-36)*-19 - (342\/(-27) - -12).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -46 (base 8) to base 13\nAnswer: -2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1239\/20916)\/((-1)\/2*-1). Let y = z - -4\/83. Suppose 1\/6*u**2 - y*u**5 + 1\/6*u**3 + 0 + 0*u - 1\/6*u**4 = 0. What is u?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**2 - 34*g + 108. Let k be v(13). Solve 3*s = 2*j + j - 6, 2*j = 4*s + k for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12702 + 12706. Which is the second biggest value? (a) -93 (b) o (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1118773 - -0.316.\nAnswer: 1118773.316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-120)\/(-50) + 4\/(-10). Suppose -2*h + 10 = h + 5*a, -h = -a + 2. Let g(p) = h*p + 2*p - 2*p + p**y. Let w(f) = f**2. Give g(w(u)).\nAnswer: u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 8*a + 5. Let y be p(8). What is the units digit of ((-6)\/y)\/((-8)\/100)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 9 - 47. Suppose 0 = -3*h - 4*n + g, -7*h + 41 = -2*h + n. Let y be -4 - (-4)\/h*6. Let b(x) = 5*x - 5. Let l(k) = k - 1. Give y*b(o) + 6*l(o).\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6*2 + (-5)\/5. Let b = -723813 + 1140063. Let q be 80\/((33\/b)\/l). Round q to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4*o - 87, -5*o + 3*g + 112 = -2. What is the least common multiple of 16\/21*24 + (-6)\/o and 27?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -111*v**2 + 5*v. Let o(d) = 334*d**2 - 14*d. What is 11*n(h) + 4*o(h)?\nAnswer: 115*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9135\/81*4\/5. Let r = l + -90. Let m = -0.1 + -0.1. What is the third biggest value in 2, r, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1427721989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 - 33*h - 18. Let i(a) = -2*a**2 + 61*a + 35. Let t(m) = -5*i(m) - 9*z(m). What is t(-3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 79460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**2 + 30595 - 91766 + y**2 + 30580 + 30591.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -42, -96, -172?\nAnswer: -270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 81537261 a multiple of 1364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -t**3\/3 - t + 26. Calculate a(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4916503 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-3\/10)*v*v\/(v*v*v**18)*(v**(-5))**(-2\/33) assuming v is positive.\nAnswer: v**(-5939\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - 8*r - 8. What is a(-8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000851370586 rounded to 5 decimal places?\nAnswer: 0.00085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (((-87)\/29)\/(54\/4))\/(260\/(-585))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -11?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/15)\/(6\/5)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(7\/2)\/(a*a**(-1\/3)*a))\/(a**(1\/6))**(-1\/23) assuming a is positive.\nAnswer: a**(127\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/74592 and 77\/1808190?\nAnswer: 202517280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 3 - (12 + -7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16.53 + 16.93. Let v = 5 - 9. Which is the third biggest value? (a) v (b) o (c) -4\/7 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42597938\/1393 - 30580. Let u = -16694\/15323 + r. Let j = -1 + 0.9. Which is the nearest to j? (a) u (b) -4\/3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -55438.6, -5, 4, 1, -22.6.\nAnswer: -55438.6, -22.6, -5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 e when four letters picked without replacement from ggjygymgeggemwgem.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4489\/1 + (23 - 35) is divided by 56.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*y - 465 = 3*n, -100 = -4*n - 175*y + 173*y for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 56 - 40. Calculate the smallest common multiple of 2 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) + 3)*-5 + (1*sqrt(1728))**2.\nAnswer: -35*sqrt(3) + 1713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 54730 + 5?\nAnswer: 54735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 2:24 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*t + 2*w + 5, -3*w = 4*t. Suppose -z + 512 = -0*l + 5*l, l = t. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -365343*y = -365404*y + 671 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1649756 divided by 314?\nAnswer: -5254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -27 - 16a?\nAnswer: -194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 88367904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -126 + 128. Suppose u - 2 = -k*t, -7*t - u + 2 = -11*t. Suppose t = -f + o, -o - o = -f. Solve -i - 5*c + 8 = 0, f = i - 4*c + c + 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8770 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 5*l = 2*q - 13, 4 = -q + l. Is (q\/(-1))\/(6\/(-4470)*-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 172, 229, 336, 493?\nAnswer: 700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -252 (base 8) to base 4\nAnswer: -2222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -f**3\/2 - 727*f**2 + 1455*f\/2 = 0.\nAnswer: -1455, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1011100001110011 (base 2) to base 14\nAnswer: 132cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1872) + -2*sqrt(1872) + 2 + sqrt(1872) - ((sqrt(1872) - 1*sqrt(1872))*-4 - sqrt(1872))) + -4)*-3)**2.\nAnswer: -432*sqrt(13) + 16884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2705, 5421, 8127, 10823, 13509?\nAnswer: 16185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 8, o: 5}. What is prob of sequence so?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -t**4\/4 + 2*t**3 + 9*t**2 - 12*t + 320. Calculate j(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*f**3 - 3*f - 2*f**4 + 5*f**2 + 78 - 6*f**2 - 59*f**3 + 20*f**3 as y*f**2 + t*f + z + k*f**4 + c*f**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n - 5. Let l be p(6). Suppose -4*q + l + 3 = 0. Let z(a) = a + q + 3*a - 2*a + 1. Calculate z(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o. Let h(d) = 64*d - 142. Let r(k) = h(k) + 8*n(k). Calculate the least common multiple of r(6) and 7.\nAnswer: 1358","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1297316873 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45579?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 74 = 6*r, 0 = 4*r - 2*f + 553050 - 553102 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1984 - 1945. What is the greatest common factor of h and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.5 + -4.4. Let u = -4.48 + 4.46. Sort -2\/23, u, k in ascending order.\nAnswer: -2\/23, u, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a hour in minutes?\nAnswer: 795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 5*k - 31278 = -31266, -9*a - 4*k = 21 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 1. Let a = -3.37 - -43.77. Let i = a + -40. Sort i, n, -0.5 in increasing order.\nAnswer: -0.5, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of 0 + 0*c**2 + 13\/6*c**3 + 9*c. Let l(k) = 2*k**2. Give d(l(i)).\nAnswer: 26*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6366 is divided by 706.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 0 - (206 + -201)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w**3 + 4*w + 2. Let l(r) = r**2 + r. Let c(d) = -11*d**3 - 4*d**2 - 15*d - 8. Let b(y) = c(y) + 4*l(y). Let f(h) = -2*b(h) - 7*j(h). Give f(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -109826478*d + 144928613 wrt d?\nAnswer: -109826478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -53*y**3 - 21*y**2 + 30*y + 52. Determine s(-1).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -66*c + 68 + 19 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 1:10 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of k**2\/2 + 9*k + 3. Determine c(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 5*c**3 - 11*c**2 + 11*c - 6. Let o(u) = u**3 - 2*u**2 + 2*u - 1. Suppose k = 5*x - 7, -2*k + 3*k + 5*x - 3 = 0. What is k*w(t) + 11*o(t)?\nAnswer: t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*v**2 - 4*v**2 - 26*v**2 to the form a*v**2 + f + q*v and give a.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -0*w - 403 + 417 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*g + 1287 = 266*g for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -178*s**3\/15 - 78378*s**2\/5 - 8228996*s\/15 + 12336 = 0.\nAnswer: -1285, -36, 2\/89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millennium in years?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 312 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 78 + -113. Let x be ((-2)\/(-8))\/(y\/40). Which is the closest to x? (a) 2 (b) 0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 124, 344, 704, 1198, 1820, 2564, 3424, 4394?\n\"Answer: -m**3 + 76*m**2 - m + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (54\/6 + -5)*(-3)\/20?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 0.187.\nAnswer: 0.748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s**2 + 3*s - 3*s)*(s + 2*s + 0*s + (1 + s - 1)*(5 + 0 + 5)) to the form t + i*s + f*s**2 + u*s**3 and give u.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/185940050 and -83\/110.\nAnswer: 2045340550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 20*p - 1. Let h(m) = -36*m + 5. Let o(l) = 4*h(l) + 7*i(l). Determine o(-7).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.464779ml to litres.\nAnswer: 0.002464779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 11*m**2 + 21*m - 7. Let l(k) = 88*k**2 + 165*k - 55. Let r(n) = -55*f(n) + 7*l(n). Let y(w) = 4*w + 2. Calculate y(r(z)).\nAnswer: 44*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28\/9 or -0.02?\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/46, 69, 8\/25?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 11*u**2 - 4. Let j(n) = 1. Suppose -2*z - 4*g = -14, 6*g + 9 = 3*z + 9*g. Let f be (-7)\/(-2)*(-24)\/(-42) - 6. Determine f*j(m) + z*v(m).\nAnswer: -11*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 358734*v**2 - 358755*v + 21.\nAnswer: 3*(v - 1)*(119578*v - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*h + 24*h - 2*h - 5*h.\nAnswer: -34*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20 in -0.5, 1, -235, -0.1, 0.8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 1. Let i(w) be the third derivative of -w**5\/30 - w**4\/12 + 2*w**3\/3 - 13*w**2. Determine -i(v) + 3*s(v).\nAnswer: 2*v**2 + 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 0*h + 0*h - 5*h - 4*h. Calculate the lowest common multiple of r(-2) and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 752 and 89911.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5861 is divided by 739?\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 (base 14) in base 10?\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2912865 and 370.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*h + 33. Suppose -5*f + 10*f + h = 0. Let d = f + 12. Solve 5*p + 5*k = 40, -5*k = -4*p - 2*k + d for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1028412 and 1980?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5325 - -5329. What is the closest to -9 in -6, -14\/9, o?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 266 and 82611886.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u + 3. Determine y(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*j - 31. Let v be (133 - 91)*-6*1\/(-7). What is the greatest common factor of v and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 144 and 9133578.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 99\/352*8*(-20)\/15\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-17)\/(-3))\/(2\/6) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 12:58 PM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 45 = 5*u, -4*u - 9 - 27 = 3*v. Let b(g) = g**3 + 9*g**2 - g + 3. Determine b(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -846768*j - 219387.\nAnswer: -846768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56 by -55023.\nAnswer: 56\/55023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y*y\/y**(2\/59))*y)\/y**7 assuming y is positive.\nAnswer: y**(-352\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - 3*o + o)*(o + o + o) + (1 - o - 1)*(3*o + 2*o - 3*o).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1330*h**5 - h**4*u + 3894*h*u wrt h.\nAnswer: 26600*h**3 - 12*h**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 15. Suppose 4 = k*f - 4. Solve 0 = l - 2 + f for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/60 or -0.172651?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ilbjy. What is prob of sequence byij?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1256 + 508 + 590*z**2 + 817*z**2 - 2*z + 1186 wrt z.\nAnswer: 2814*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2211 + 2023?\nAnswer: 4234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d*d*d**(-12)*d*d)\/d))\/((d*d\/(d\/((d*d**(1\/11))\/d)))\/d) assuming d is positive.\nAnswer: d**(109\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) + sqrt(84) + sqrt(84)*2*-6 + sqrt(84) - 4*(sqrt(84) + sqrt(84)*2 + sqrt(84)))\/(sqrt(120)\/(3*-1*sqrt(10)))*1*1.\nAnswer: 75*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/587 + -1196\/6457. Let x = 87 + -84. Which is the nearest to m? (a) 0.4 (b) 0.3 (c) x (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -36 or -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5499 - 5503. Sort 11, f, -0.1.\nAnswer: f, -0.1, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12655367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.8 + 0.86. Let d = -4.06 + f. Let x = -2.178 - -2.078. What is the nearest to 0 in 0.4, d, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-36) + (-110)\/(-12). Suppose 7*t = d*t. Solve t = -3*o - o + 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -123585 + 45778. Let t = 77814.9982 + i. Let w = -8 + t. Round w to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -33*s**3 + 5*s**2 - 3*s + 3. Let r(d) = -33*d**3 + 4*d**2 - 2*d + 2. Determine -2*j(u) + 3*r(u).\nAnswer: -33*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - (-5 + 4 + -8). Differentiate -4 - k*w + w + 2*w - 5*w wrt w.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-23)\/2)*3\/3?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2127534738 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q**4 + q**3 + 3*q - 2. Let t(z) = 4*z**4 - 35*z**3 - 110*z**2 + 135*z + 6. Let d(a) = -3*s(a) - t(a). Let d(o) = 0. Calculate o.\nAnswer: -9, -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of b**9\/3024 + b**8\/448 - 5*b**7\/252 + b**4\/8 - 5*b**3\/2 + 262*b**2. Let c(p) be the second derivative of u(p). Factor c(x).\nAnswer: 5*x**2*(x - 2)*(x + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78 + 15 = -5*l + 6*m, l - 62 = 5*m for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003420797571 rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/6*15\/6. Let s be 1\/(1 - 0) - -4. Let j(v) = v + 2. Let p be j(-6). Put f, p, s in increasing order.\nAnswer: p, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4\/9))**(-2\/49)*((i**(-7)*i*i)\/i)**(-8\/5) assuming i is positive.\nAnswer: i**(21208\/2205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/70 and -36\/175.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = s - 6*s. Suppose 9 + s = 7*k. What is the second derivative of -k*n + 3*n + 7*n**2 - 2*n wrt n?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 90 - 181\/2. Let o = 0.1 - 0.1. What is the closest to o in 4, 0, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 131 times -669\nAnswer: -87639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.02 - 4.02. Let k(q) = -q - 4. Let v be k(-7). Let u = -4.99 - 0.01. What is the third smallest value in h, v, u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1370 + 1372. What is the nearest to -1\/3 in 0.3, 0.02, s?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -219 + 219. Solve 5*j - 40 = 4*v - 9*v, q = -j + 4*v - 7 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 98 or 89393\/915?\nAnswer: 98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m**2 - 6*m + 6. Let b be d(6). Suppose 11*g - 12*g = v - 41, -2*g = -2*v - b. What is the greatest common divisor of g and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177 = 5*h + 27. What is the remainder when 85 is divided by h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 34 + 1000343?\nAnswer: 1000432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b. Let h be z(2). Let u be (2 - -3)*4\/h. Let c = 0 - -3. Solve c*a - d + u = 0, 2*a + d + 0*d = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 676. Calculate u(-26).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of 31*h**4\/4 - 2*h**3\/3 - 1637. Let z(u) = 31*u**3 - 3*u**2. Determine -3*r(p) + 2*z(p).\nAnswer: -31*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3013, -0.346, -5, 5 in decreasing order.\nAnswer: 3013, 5, -0.346, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from duddudugui?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1451?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - -1*1 - -2. Suppose -5*g - 5*s - 10 = -0*g, -s - 10 = -3*g. Suppose 0 = 5*r + 3*u - g - 7, 16 = 4*r - 2*u. Solve l*y = r*y + 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1317*k**5*y**2 - 7*k**5*y - k**2*y - 30*k**2 + 59*k*y**2 - 6 wrt k?\nAnswer: -79020*k**2*y**2 - 420*k**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3654, 3580, 3456, 3282, 3058, 2784?\nAnswer: 2460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3180 divided by 1060\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*g**3\/2 + 60*g**2 - 45*g\/2.\nAnswer: -5*g*(g - 3)*(7*g - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*z = -718 + 3328 for z.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00517419 to 4 decimal places.\nAnswer: -0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 990*q. Let j(w) = 67*w + 4. What is p(j(c))?\nAnswer: 66330*c + 3960","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*v - 11 = 5*n, 0 = -5*v - n + 29. Suppose 0 = 5*k - l - 43, 3*k - 20 = 2*k + 4*l. Calculate the remainder when k is divided by (-36)\/21*(-21)\/v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4 = -h - f, -13 = -5*h - f. What is the second derivative of -9*p - 10*p - 2*p - 2*p**h wrt p?\nAnswer: -12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**2 + 3*s - s**4 + 7 - s + 22*s**3 - 6 - s to k*s + a + x*s**4 + v*s**2 + g*s**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1330 (base 13) in base 7?\nAnswer: -10666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0163838 to three decimal places.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**3 - 36*u**2 - 104*u - 96 = 0. What is u?\nAnswer: -4, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 + 14. Let s(d) = -d**2 - 6*d + 10. Let q be s(y). What is the units digit of 0\/3 + (-1 - q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 658.267 centuries to decades.\nAnswer: 6582.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 6*x - 3. Calculate r(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d**3*v**3*w**2 + 93*d**3*v**2*w - 3*d**2*v**2*w**2 + d*v*w**2 + 187*v**3*w**2 + v*w**2 wrt v?\nAnswer: -12*d**3*w**2 + 1122*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + -60 + 32 - -26.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (69\/21 - 3) + 0. Which is the closest to -1\/4? (a) q (b) 3\/4 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m**3 + 6*m + 6. Let z(i) = 12*i**3 + 17*i + 17. Give 17*v(s) - 6*z(s).\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eqbe when four letters picked without replacement from gggxqqgggeeb.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*q**2 - 14*q**2 - 14*q**2)*(4 - 8*q - 2 + q).\nAnswer: 70*q**3 - 20*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 8) in base 6?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 326*c - 39*c**4 - 326*c + ((2*c - 2 + 2)*(2*c + 4*c - 4*c) + 0*c**2 - 3*c**2 + 4*c**2)*(-10*c**2 + 8*c**2 + 10*c**2).\nAnswer: c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 240\/110*(-7)\/(14\/15)*(-13)\/(-130)?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**2 + 5*a + 3. Let x be j(-3). Suppose 0 = -k + 4*f + 8 + x, 4*f = 5*k - 22. Does 3 divide (-2)\/(-2) - (k + -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6344\/(-66612))\/((-4)\/6)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 - 2.2. Let g = -3.26 - -0.43. Let i = g + -0.17. Which is the smallest value? (a) p (b) -0.2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + -4 - (-226994 - 2)\/(-1). What is m rounded to the nearest ten thousand?\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 372384.\nAnswer: 2, 3, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -6\/1505, -191\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 182 + 7\/2*24\/(-42). Suppose 0 = -4*f - 612 + n. Sort f, -2, -5 in increasing order.\nAnswer: f, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.3928 + -9.6505. Let q = 0.0367 - y. Let b = q - 0.08. What is the third smallest value in -1\/5, b, -5\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -278, -283, -292, -311, -346?\nAnswer: -403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 846.7962 + 0.2038. Let w = 792.3 - k. Let l = w - -56. What is l rounded to 1 dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -720103, -720089, -720075, -720061, -720047, -720033?\nAnswer: -720019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 930.\nAnswer: 4650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19625258, -39250496, -58875722, -78500930, -98126114, -117751268, -137376386, -157001462?\nAnswer: -176626490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -5. Let p(j) = j**3 + 2*j**2 - 2*j - 2. Let n be p(f). Solve -3*s - 3*g = 21, -n*s + 2*g - 10 = 3*g for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -124 + 193. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q + 0*q + 2*q**3 + (27*q - 27*q + 39*q**2)*(-q + 5*q + 0*q).\nAnswer: 158*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*m**2 + 12370*m**3 - 259895*m**3 - 52*m**2.\nAnswer: -247525*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13740 + 13854.31. Let d = s - 114. Round d to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9226275 nanograms in milligrams?\nAnswer: 0.0000009226275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4040059um in millimeters?\nAnswer: 0.0004040059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 4*w**3 + 0 + 14*w**3 + w**3 - 8*w**3 + (-w - 5*w + 4*w)*(2 + 2*w**2 - 2) + 0*w + 0*w + 2*w**3 + 5*w - 4*w**3 - 5*w.\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -12612960 rounded to the nearest one hundred thousand?\nAnswer: -12600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6620 and 360?\nAnswer: 119160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1198373 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (16\/(-20))\/((-2)\/25). Let d = -22 + o. What is the units digit of ((-3)\/2)\/(2\/d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 6:37 PM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -20*w**2. Let l(u) = -u**3 + 4*u**2 - u + 3. Let g be l(4). Let z be (-98)\/42*(-2 + g). Let s(p) = -z + 19 - 12 - p**2. Determine m(s(k)).\nAnswer: -20*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51 + -26. Factor -13 - 8 - 4*c**2 + s - c**3 + c.\nAnswer: -(c - 1)*(c + 1)*(c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - a12512?\nAnswer: -a12510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2766.6 + 3049. Let o = d - 282. Which is the nearest to 2\/5? (a) o (b) 1\/4 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155 = -5*m + 805. Let i = 77 - 37. Let k = i - 14. Calculate the greatest common divisor of k and m.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1.6, -2, -5?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/2)\/(2\/(-120)). Let f be (-6)\/a + 302\/10. Suppose 5*j + 23 = 2*o - 1, 0 = 5*o - 5*j - f. Solve o*r = 4*r + 10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 356*m - 1395 + 6735 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**3 + 2*g**2 + 2*g + 193. Determine p(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5209 - -5209. What is the closest to -44 in b, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128.5491 centimeters in meters?\nAnswer: 1.285491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*c**6 + 425*c**4 - 9*c**3 + 15*c**2 + 10*c + 446?\nAnswer: -720*c**3 + 10200*c - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 292426298 + -0.5.\nAnswer: 292426297.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 122287 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40596 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, -3176, -5, 2, -2\/3 in increasing order.\nAnswer: -3176, -5, -2\/3, 4\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z - 10*z + 42 = -34*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 plus 4400145?\nAnswer: 4400832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32241142204 + 0?\nAnswer: 32241142204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 157680 to the power of 1\/2, to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(7) + (sqrt(56)*3)\/sqrt(8)).\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, a: 2, e: 11}. Give prob of picking 2 a.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(2*3\/198) + (-91 - -82).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4280 and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of 5*n**4\/24 + 5*n**3\/12 - 15*n**2\/2 + 25*n - 26. Let r(u) be the first derivative of g(u). Solve r(v) = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -385.57 + 386. Let c = i - 0.23. Put -31, 4, c in ascending order.\nAnswer: -31, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(6\/13)\/((d\/(d*d**(-1\/5)))\/d)*d*d**0*d**(-7)*d assuming d is positive.\nAnswer: d**(-243\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from yodynzdgnygyyddyo?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -14*m**4\/13 - 1776*m**3\/13 + 51340*m**2\/13 + 3504*m - 7550\/13 = 0.\nAnswer: -151, -1, 1\/7, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 97834077 less than or equal to 97834080?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -x + 595, 5*u = -5*x + 1638 + 1307. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-186)\/18 + 1\/3. Let u = p - -10. Is 6 a factor of 8 + -3 + (u - -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*b + 4*w, 3*b + 0*w - 4*w - 6 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 4*h**3 + 9*h**3 + h. Let s(l) = -l + 11. Let x be s(8). Suppose -3*v + 18 = -x*n, 2*v + 0*n = n + 7. Give b(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in fifty-one halves of a millennium?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 10*s**2 + 4*s - 13. Let h be i(7). Let a = h + 135. Let d = -22 - -24. Solve 0 = 2*g - n - n + 16, d*g + 21 = a*n for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ahbbkwt. What is prob of sequence kba?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 20691*k. Let g(j) = -238*j**2. Determine g(u(f)).\nAnswer: -101891960478*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 98*n**2 - 5 + 5 + 180*n**2 - 90*n**2 + 6.\nAnswer: 188*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -199.5 and -1316.\nAnswer: 262542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4, -21, -70, -149, -264?\n\"Answer: -v**3 - 6*v**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 57082.86ng in milligrams?\nAnswer: 0.05708286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.13, -8, -2, 4, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-105)\/(-75)*(-5)\/(-35).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3.022, -10, 2, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 2870*r**2 + 3 + 9530*r**2 in the form k + s*r**2 + g*r and give s.\nAnswer: 12400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -173*x - 22. Is z(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 11\/14 + (-18)\/63. Which is the fourth biggest value? (a) m (b) 0 (c) -3 (d) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, 0.4, -16, 0, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 22364680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31222, -63544, -95866?\nAnswer: -128188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1254, 12078 in descending order.\nAnswer: 12078, 1254, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, s: 1, a: 1, h: 2, m: 5, p: 4}. What is prob of sequence qapq?\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 3*d + 2, 5*m + 9*d = 4*d + 10. Suppose -17188 = -4*o + m*k + 2*k, -2*o + 8609 = 3*k. Round o to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 261604 and 5348.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*1*sqrt(360))\/((6*sqrt(45) + -2*sqrt(125))*-6).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -118443143 by -16920449.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u + 2*u - 5*u)*(7*u**3 - u + 37*u**3 + 12*u**3 - 2*u**2 - 2) as m + o*u**4 + x*u**3 + r*u**2 + n*u and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wlllnnnwnnl. Give prob of picking 2 n and 2 w.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5213333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25750 and 2456550.\nAnswer: 12282750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j + 13. What is the remainder when 70 is divided by a(-11)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/30 and 1965\/(-276)*42\/315.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (19 + 113)*((-52)\/8)\/(-1).\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -12. Is 4\/(3\/(-4) + i) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -30*n. Let a(x) = -x**2 - 8*x + 4. Let m(r) = -154 + 78 + 77 - 2*r. Let s(k) = -a(k) + 4*m(k). What is s(o(b))?\nAnswer: 900*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -60135 + 138731443\/2307. Let d = -348365\/9228 - i. Which is greater: d or -38?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124439470 is divided by 31.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22245030 and 6090?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3867 - -3863. Let p(q) = -3*q - 17. What is p(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 269500 and 22.\nAnswer: 269500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 to the power of 1\/2, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -168*n**2 - 21*n - 10. Let t(q) = 55*q**2 + 6*q + 3. Let m(i) = -7*t(i) - 2*v(i). Let j(z) = 9*z**2. Calculate j(m(r)).\nAnswer: 21609*r**4 + 882*r**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 12863*j - 308797. What is i(24)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -5\/2*s**2 - 5\/4*s + 0 - 5\/4*s**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of -1169*c**5\/12 - 2907*c**4\/8 - 10*c**2 + 3*c + 79. What is the second derivative of a(l) wrt l?\nAnswer: -11690","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3*o. Suppose 13*z = -46*z + 118. Let y(w) be the second derivative of 5\/6*w**3 - 9*w + 0 + 0*w**z. Give y(t(j)).\nAnswer: 15*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*j = 3*j - 1792792. Suppose -29*f - j = -37*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 169*n**3 - 11*n**2 + 3*n + 7. Let d be b(1). Solve 11*h = d - 91 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*q**2 - 25*q - 74*q - 25 + 18.\nAnswer: -103*q**2 - 99*q - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*r = 10*r + 60 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6, -57, -134, -249, -414?\n\"Answer: -2*d**3 - d**2 - 34*d + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -7*r**2 + 6*r - 3. Let z(w) = 8*w**2 - 7*w + 4. Let k be 14*(-1)\/(-5 + 3). Let m(o) = k*l(o) + 6*z(o). Differentiate m(p) with respect to p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0367522 rounded to five dps?\nAnswer: -0.03675","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 196 - 341. Let h = q - -217. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6\/1439819 - 114484328279\/31676018. Let f = j - -3612. Let l = 94993\/20 - 4747. Calculate the common denominator of f and l.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89821\/992 <= 91?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 94584 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tjttztjjzzzt. What is prob of sequence jj?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(320) + 0 + 5)*6)**2 - (sqrt(5) + -1*(sqrt(45) - sqrt(5))**2 - ((sqrt(45)\/sqrt(3))\/sqrt(3) - sqrt(5)))*-4.\nAnswer: 8644*sqrt(5) + 37180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2311, -1457, -603, 251, 1105?\nAnswer: 1959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -34024 in ascending order.\nAnswer: -34024, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-1))**(17\/3)*a**(-8)*a**0 assuming a is positive.\nAnswer: a**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**2 + 169*z + 1293. Calculate j(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 694749?\nAnswer: 3, 11, 37, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j - 302 + 302 + 15*j.\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -1\/60*a**6 - 23*a**2 + 1\/30*a**5 + 0 - 1\/3*a**3 + 1\/12*a**4 + 0*a. Factor j(n).\nAnswer: -2*(n - 1)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 197768866.\nAnswer: 2, 131, 179, 4217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/2163 and -83\/21.\nAnswer: 2163","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -113*g - 1. Let j be r(-2). Let o(t) = -t**2 - 47*t + 98. Let w be o(-49). Suppose -4*s + j = -w*s + y, -3*y + 180 = 3*s. Is s a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2899717?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from ehttthslthhhht?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -59 > -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -72155 take away -200786?\nAnswer: 128631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -404164 divided by -1\nAnswer: 404164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28*112\/15288*(-6)\/(-8)*1.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.05629 - -7763292445\nAnswer: 7763292444.94371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 4 in ascending order.\nAnswer: -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.2 + -2. Let l = -4.7 + 5. Let f = -0.34 + l. Which is bigger: v or f?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 51 in -12\/11, -0.4, -152, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*c**5 + 37*c**3 - 37*c**3 + (0*c**3 + 4*c**3 - 2*c**3)*(-3*c**2 + 3*c**2 - c**2) - 6*c**5 + 6*c**5 - 12*c**5.\nAnswer: -23*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-625 - -588) + 1 + (-2 - -16)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 11 = -25. Solve -p = 3*o - 2*p, -p = o + m for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (448\/5)\/(4\/(-70)). Let z be (4 - h\/(-6))*6\/(-4). Suppose -6*p + 148 = -z. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 232120 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -39b0264 - -5?\nAnswer: -39b025b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 763*l + 795*l - 2458*l - 10500 = -795*l for l.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 8:44 PM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 4:16 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 5*f + 1. Let m(r) = r + 1. Let p(a) = j(a) - 4*m(a). Let k be p(3). What is the closest to k in 0.1, -2, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 3*c - 182, 4*c - 4*k = 75 + 121. Calculate the lowest common multiple of 96 and c.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -368.23 - -365. Let s = 251.23 + m. Let d = -248.099 + s. What is d rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + x**2 + 5*x. Let b(v) be the first derivative of v**4\/4 + v**3\/3 + 2*v**2 - 2. Give 4*b(d) - 3*p(d).\nAnswer: d**3 + d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 29*b*f**3 + 13*b*f**2*x + 2*b + 2*f**3 + 2115*f**2*x + f*x wrt b.\nAnswer: 29*f**3 + 13*f**2*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*r - 61*r - 67*r - 51*r - 64*r + 309*r.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p + 8. Let x be ((-4)\/5)\/(6\/45). Let n be i(x). Suppose -n = d - 4*w - 8, 3*w = 0. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -9*p**3 - 63*p**2 - 120*p - 57. Let d(g) = -2*g - 5. Let w be d(-1). Let i(z) = -z**2 - z - 1. Let o(f) = w*i(f) + h(f). Factor o(t).\nAnswer: -3*(t + 3)**2*(3*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 364 + 2*l + 0*l**2 - 360 + 0*l**2. Let a be i(-5). Find the third derivative of 19*j - a*j + 43*j**3 + 15*j**2 - 9*j**3 wrt j.\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 33*f**2 + f. Let c be h(1). Suppose w + 14 = i, 5*w = i - 0*i - c. Solve -i = 5*z + 1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 divided by 3.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -220.24403 rounded to one dp?\nAnswer: -220.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**3*f*n - 139*a**3*n**2 - 3*a**3 - 8*a**2*f*n**2 + a**2*n - 3*a**2 - 2*a*f*n**2 wrt a?\nAnswer: 6*f*n - 834*n**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63695, 509605, 1719929, 4076873, 7962643, 13759445, 21849485?\nAnswer: 32614969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + g - 5*g - 18 = 0, 2*g + 6 = 2*u. Let c = 9 - 3. Let v(f) = -c*f - 5*f**2 - 7 + 0*f**2 + 1 + f**3. Give v(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -3*i**3\/8 + 3303*i**2 - 816435*i\/8 + 763599\/4 = 0.\nAnswer: 2, 29, 8777","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 71 - 51. Suppose -o*z - 3*z = 0. Solve z + 3 = 3*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 916 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (29 - 27) + 2 + 79 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 231?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*o**3\/5 + 2771*o**2\/5 + 6912*o - 5837\/5.\nAnswer: (o + 13)*(o + 449)*(6*o - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1352.9917 and 2?\nAnswer: -2705.9834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -9. Solve -5*v = 3 + l for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -5*a + 20, 3*a + 2*j + j - 12 = 0. Let d = 0 + a. Solve 0*o = -d*o - 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010001 - 100?\nAnswer: 1001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 6*v - 6 + 11*v + v - 14*v + 0. Suppose 3*m + 43 = 28. Let l(s) = -6*s + 9. Calculate m*l(k) - 8*w(k).\nAnswer: -2*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + p - 21, 2*p - 12 = -3*w + 4*p. Let r = 19 - w. Calculate the remainder when 51 is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 55*z**2 + 2*z - 5. Let u(w) = w**2 + w - 1. Give f(b) - 2*u(b).\nAnswer: 53*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2*(-51)\/2*(-1)\/3 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1096, 1418, 1740, 2062, 2384, 2706?\nAnswer: 3028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 63 + 105 = 0. Let u be 7\/f - (-11)\/(-4). Let x(d) = 2*d - 3. Calculate x(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.3, -0.3, 1\/3, 3465.\nAnswer: -0.3, 0, 0.3, 1\/3, 3465","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 26 + -256?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - p = 15. Let g be (-2)\/(p\/(-57)*-1). Is g*85\/10*1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 11*v**2 - 18*v - 15. Let r(b) = 5*b**2 - 9*b - 7. Let o(m) = 6*k(m) - 13*r(m). Calculate o(-7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000154368 rounded to five decimal places?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1063460659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of 9*b**4\/2 - 2*b**3\/3 - b**2 + 3*b + 10. Is a(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4214259 or -4214144?\nAnswer: -4214259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(0 - w + 0)*(2*w + 5*w + 0*w).\nAnswer: -14*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 15*h**2 + 2*h - 4*h + 2*h. Let c(f) = -4 - 4*f**2 + 19*f - 1 - 25*f + 8. Let i(r) = -3*r**2 - 4*r + 2. Let l(o) = 2*c(o) - 3*i(o). Give x(l(j)).\nAnswer: 15*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 12*l + 29 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 60, 93?\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2099475875 to the power of 1\/6, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -14.8 (b) -3 (c) 1\/3 (d) 0.3 (e) -3.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**3 - 33*y + 21*y**2 - 21*y**2.\nAnswer: -y**3 - 33*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d + 5*d + 0*d + 13*d**2.\nAnswer: 13*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.6, -3\/7, 0.9594?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -55 - (1 + -7 - (-88 + 92))\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 2, -24 in decreasing order.\nAnswer: 2, -1, -3, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47646 - 71.64.\nAnswer: 47574.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 21*d - 3. Let k be n(12). Let r = 250 - k. Sort -6, r, -5.\nAnswer: -6, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/420)\/((-31)\/7812*-12)\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 5*v + 25. Let k(w) = -19*w - 101. Let i(z) = -9*c(z) - 2*k(z). Let x be i(-4). Suppose -9*o = -x*o - 12. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -56*u + 2019. What is d(36)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 24830836 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001083 rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56 and 1680.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1498 + 1501. Solve 2*f + 4*s - 16 = -32, k*s = -2*f - 12 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/6*((-3)\/2 + 3). Let c = 0 + i. What is the units digit of 3 + c\/(-9) + 2276\/36?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (102\/19380*114)\/((-2)\/((-40)\/186)).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -122012021?\nAnswer: 122012021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.05, 2, 0.12?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2595986 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by -2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**3 - b - 1. Let h be u(-1). Suppose 0*a = -3*a + 42. Suppose -3*z + n + a = 0, -5 + 21 = 4*n. Solve z = h*y - 4*p, -p - 3 = -0*y + y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 1100001?\nAnswer: -1011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -757*f**5\/10 + f**4\/6 - 53*f**3\/3 + 1530*f. Find the third derivative of r(z) wrt z.\nAnswer: -9084","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 173242650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*d**2 + 2*d**2 + 3*d**2 + d**2 - 1 + 0 - 4 + (5*d**2 - 3*d**2 + 5*d**2)*(0 - 6 + 1) in the form l*d**2 + q*d + r and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -6*l + 30*l**2 - 63*l**2 - 4 + 36*l**2. Let t be y(-1). Which is greater: t or 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 9 - 9. Suppose -4*a + 2*a + 2*t - 2 = 0, d = -5*a + 2*t - 5. What is the units digit of a - 10\/(-12) - 3368\/(-48)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 8*m**2. Let l(y) be the third derivative of 0*y**3 + 0*y**4 + 0*y + 3*y**2 + 0 - 1\/30*y**5. Calculate s(l(u)).\nAnswer: 32*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 126 and 1456.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 127.3.\nAnswer: -127.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1624*q - 1627*q - 11 = -j, 0 = -9*q + 2*j - 37 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30392*b**2 - 15194*b**2 - 7*b + 4*b + 3*b - 15212*b**2.\nAnswer: -14*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 91, -0.1, -75, -30, -1?\nAnswer: 91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 64241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11070 and 127478430.\nAnswer: 3690","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -2*t. Let i(o) = o. What is i(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 222030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*n - 71*n = -7*n. Solve n = -10*r - 3 - 27 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -1000111?\nAnswer: 1001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -4. Let y be -3 - (-4)\/(-4 - -2). What is the units digit of 2\/(y\/((-25)\/g))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -5034211?\nAnswer: 5034216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2466 - -2448. What is the nearest to 2 in 0.26, d, -4?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 22c38 + -42?\nAnswer: 22be6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/14 and 12\/(-80)*((-187)\/(-3) - 3)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 315*j**3 - j**2 - 2 wrt j?\nAnswer: 1890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q. Let i(d) = 11*d. Let p(c) = -c + 2*c + 5*c. Suppose 3*o + 0*j = -4*j - 7, 0 = 4*o - 5*j + 30. Let t(r) = o*p(r) + 3*i(r). Determine f(t(s)).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*o = 0. Suppose 3*q - 3*g - 33 = o, q - 4*g = -2*g + 6. Is q a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2146*n = 575*n - 20423 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -85 - -64. Let f be ((-2)\/13 + 0)\/(5 + z). Which is smaller: f or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a3a6b (base 14) to base 6\nAnswer: -12242051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5182\/328 - 731619\/46452\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence heep when four letters picked without replacement from {k: 3, e: 3, h: 1, p: 4}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 738, 1635, 2668, 3819, 5070?\n\"Answer: -3*v**3 + 86*v**2 + 660*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -25, -81, -181, -331, -537, -805, -1141, -1551?\n\"Answer: -m**3 - 16*m**2 - m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -0.1. Let m = -3940.7 - -3940. What is the third smallest value in v, m, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00130598394 rounded to seven dps?\nAnswer: 0.001306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8520\/36*6\/4 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -62572 - -6?\nAnswer: -62565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13202 - 23200?\nAnswer: -103002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 1 + 15. Suppose 163 = 2*h - b*m - 11, 0 = -5*h - 5*m + 390. Suppose -h - 19 = -2*t. What is the greatest common factor of t and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/51 and 58\/51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i + 12. Let z be j(-5). Suppose -12 = -2*c - 5*l, 6*l - z*l - 64 = -5*c. Calculate the remainder when c is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -6*g + g. Suppose -g*c + 5 = 5*u, -3*u + 4 = u + c. Let q be u\/(4\/12 - 0). Solve 0 = -2*y - 5*v + q*v, -y - 5*v - 8 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-7 - -4 - -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 r when three letters picked without replacement from rosoxoxxrxxxosoosxo.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 4:58 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + g + 1. Let z be q(1). What is the common denominator of 77\/8 and 1\/(-5) - (z - 2)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1941 times -4\nAnswer: -7764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -351 - -354.628. Let h = 0.072 + q. Let l = -0.3 - h. What is the third biggest value in l, -1, -0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-18)\/3 + (6 - -18*15) is divided by 78.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/8, 0.3, -0.3, 32?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4073930423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 289, 532, -169, -2720, -8027, -16996?\nAnswer: -30533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112 + 11?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (11 + -13)\/((-2)\/13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311544 is divided by 113.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -237 and -431890?\nAnswer: 431653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39 + -39. Solve -r - 5 + x = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2670261 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7464*l**2 - 6673*l**2 + 4170*l**2.\nAnswer: -9967*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttttttttt. Give prob of sequence ttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 876 is divided by 289?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 170 = 5*i + 3*k, 4*k - 34 = -i. Suppose 0 = -4*x - 2*h + 58, -5*h = -x - 16 + 3. What is the remainder when i is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 12, v: 3}. Give prob of picking 2 v.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 6*h**2 + 6*h - 4. Suppose -5*y - 25 = -2*u + u, 5*y = -u - 15. Give j(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 4*w**3 - 7*w**2 - 2*w + 3. Let m(t) = 3*t**3 - 7*t**2 - 2*t + 4. Let j(s) = 5*m(s) - 4*x(s). Is j(-8) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 13*k**2 + 8*k - 2. Let m be j(2). Suppose 4*p = 15*p + m. Put p, -5, -2 in ascending order.\nAnswer: p, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((-5)\/(10\/(-4)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 0*n = 5*o + 36, 4*o - n = -27. Let h be (-1660)\/112 + (-4)\/o. Let t = 14 + h. Which is bigger: 0.25 or t?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d\/d**(-17)*d**(-12) assuming d is positive.\nAnswer: d**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 5*s**2 - 8*s + 12. Calculate f(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 176218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -51622492*y**3 - 1294457*y - 10?\nAnswer: -309734952*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 7 (c) -618.0137\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-3))\/((-8)\/(-60)). Suppose 0*y - 19 = 4*y - a*h, -h = 3*y. Let l be y - 18*-1 - 2. Solve 0*g = -5*n + 2*g - l, -3*g = 15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 11, u: 1, t: 1}. Give prob of sequence tcc.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/12 + (-843)\/18. Let j = 30 + f. Let z = j + 25. Calculate the remainder when 13 is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - m = -2*m + 352, 880 = 5*x + 5*m. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*m + 79 = 45 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3578 to 2 decimal places.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 21?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 7*o + 7. Give h(-9).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - -9 - (-8 + 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10978 by 22.\nAnswer: -499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -2972705000 to the nearest one million.\nAnswer: -2973000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 2*y**3\/15 + 2*y**2\/5 - 5295. Factor k(m).\nAnswer: 2*m*(m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22659 divided by -6977?\nAnswer: -22659\/6977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 56 = 4*m, 5*w = -4*m + 98 - 38. Let j = m - 8. Let u(b) = -3*b**2 - 5*b**j + 7*b**2. Let x(c) = -c**2. What is x(u(n))?\nAnswer: -n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.803 + 0.197. Let n = -840.5 + 840. What is the closest to 5 in n, l, 0, -3\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49\/20 + -9\/4. Suppose 28 = -3*k + 19. Sort 4, p, k in descending order.\nAnswer: 4, p, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*t**2 - 53*t**2 + 91*t**2.\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**4 - 565*d**3 + 4780*d**2 - 7260*d.\nAnswer: -5*d*(d - 6)*(d - 2)*(d + 121)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence awa when three letters picked without replacement from ypmyccywmaamymmwm.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2\/2 - 21*c - 48.\nAnswer: 3*(c - 16)*(c + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0, 3\/5, -2\/77?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2412.972 litres to millilitres.\nAnswer: 2412972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 138 by -1.\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 14*x**2 - x - 17. Let s be (-16)\/(-6)*(-126)\/24. Let k be t(s). Is -4 != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.05 smaller than -51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2427 (b) 3\/4 (c) -58\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 1. Let s be (-10)\/z*(-42)\/35. Solve 0 = 3*q + 4 + 2, -q = s*u + 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(3\/4)*b*b*b*b*b**(-6\/7)*b*b*((b*(b*b**15\/b)\/b*b)\/b)\/b*b*b*b*b**(1\/11)*b assuming b is positive.\nAnswer: b**(7695\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156 = 4*p - 4*l, -7*p = -2*p - 4*l + 192. Let m = -2 - p. What is the remainder when m is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-6) + (-38)\/(-14))\/((-48)\/(-14)).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24941*h**3 - 39232*h**2 wrt h.\nAnswer: 149646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 9:13 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-1\/6))\/h)\/h**(-29) assuming h is positive.\nAnswer: h**(173\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-9) + (-2432)\/(-6) + 3. Let x = -406 + s. Let f(w) = -3*w**2 + 6*w + 4. Calculate f(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7973 is divided by 3165.\nAnswer: 1643","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -31cd061?\nAnswer: -31cd064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -72.7 * 0.5\nAnswer: -36.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -15554 + -572?\nAnswer: -16126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 10*w + 40. Let t be r(-10). Let p = -65 + 128. Let a = p - t. Solve -4*i - 3*n - 32 = 0, -4*i + i - 2*n = a for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -4*a + 30, 2*r - 12 = -2*r - 4*a. Calculate the common denominator of 5\/2 and (r\/(-12))\/(12\/(-990)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 10) in base 5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 + (-1 - -5) + 13 + 2. Suppose 0 = f*m - 31 + 1. Let h(l) = -32 + 32 - l**m. Let b(v) = v - 12. Give b(h(d)).\nAnswer: -d**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 49*o - 7 - 164*o to the form k*o + w and give k.\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 4)\/(((-280)\/(-322) - 1)*(31 - 32))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2377422 is divided by 268?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 649*u + 1299. Give w(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -17*g**2 + 14*g + 5. Let t(k) = -17*k**2 + 15*k + 6. Let l(q) = 6*a(q) - 5*t(q). What is the second derivative of l(p) wrt p?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 23*x**2 - 11*x + 29. Let f(t) = -8*t**2 + 4*t - 10. What is 4*c(y) + 11*f(y)?\nAnswer: 4*y**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -27*b - 65. Let f(l) = -15*l - 36. Let c(t) = 11*f(t) - 6*q(t). Let j be (4\/2)\/((-4)\/(-14)). Let s(z) = -3*z - 8 + 1 + 0. Determine j*c(r) - 6*s(r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/8*-2 - (-61)\/4. Suppose 2*t = 5*t + a, -3*t = 5*w + 5. Suppose 2*c + 0 = -5*n - 11, -4*n = w*c + 10. Is n < -2\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 i when two letters picked without replacement from {g: 4, d: 2, i: 2, e: 1, r: 2, x: 8}?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168222221.\nAnswer: 41, 967, 4243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 708*r**2. Let h(v) = 12*v - 3. What is h(t(f))?\nAnswer: 8496*f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13077788?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -346332547, -346332546, -346332545?\n\"Answer: s - 346332548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**2. Let i(f) = -800*f. Determine a(i(j)).\nAnswer: 1280000*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5)\/((-20)\/31976) + 6\/(-2)?\nAnswer: 61, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -302011230010 (base 4) in base 6?\nAnswer: -1145233204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 1:12 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -433 minus 0?\nAnswer: -433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -370, -0.4, 0.4?\nAnswer: -370","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*(3 - 1 - 5)*(-3*y - 5 + 2 + 1).\nAnswer: 18*y + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 819, 5012, 9205, 13398, 17591?\n\"Answer: 4193*j - 3374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53849*r**2 + 107691*r**2 - 53848*r**2.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -182, -6, -279, -2, 2 in descending order.\nAnswer: 2, -2, -6, -182, -279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1794, -3603, -5414, -7227, -9042, -10859?\nAnswer: -12678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1767351 (base 8) in base 4?\nAnswer: -1332323221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6) + sqrt(600) + sqrt(600)*-1 + sqrt(6))\/(sqrt(24)\/sqrt(3) + sqrt(8)) + -2)*-4*2.\nAnswer: -4*sqrt(3) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -15*i + 10. Determine n(5).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1354 - -218?\nAnswer: -1136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1057 + -1059. Sort 4, 5, w, 35 in ascending order.\nAnswer: w, 4, 5, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -4*k + 4. Suppose -4*d - 4 = -5*d. Let t be 123\/39 + d\/(-26). Which is smaller: k or t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of -805*s**5\/12 + 281*s**3\/3 - 467*s**2 - 5*s. Differentiate o(q) with respect to q.\nAnswer: -8050*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 88 (b) 12020 (c) -1 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 + 16.2. Let s = 0.1 - y. Is -0.2 at least as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*z - 1686 = -2158 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1318*u - 5496*u - 313444 for u.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bhbhhbhh. What is prob of picking 2 b?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -68, -69, -64, -47, -12, 47?\n\"Answer: q**3 - 3*q**2 + q - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (73 - -332)*4\/10. Suppose -v = -t + 157. Let q = -1.94 - 0.06. Which is bigger: v or q?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 101 - 110.6. Let o = m - 1.4. Let k = -11.00008 - o. What is k rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -127 + 135 = s. What is the highest common divisor of s and 364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -369.7 - -5.7.\nAnswer: -364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68 = -11*c + 2 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -5*l**2 - 14692*l + 1569. Let k(g) = g. Give k(a(j)).\nAnswer: -5*j**2 - 14692*j + 1569","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1523 less than -1522?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 28 = -s. Suppose -2*u - 23 + 3 = 0. Calculate the remainder when -207*(-3)\/(-1 - u) is divided by s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z + z + 17 - z. Let a(t) = t**3 + 4*t**2 - 8*t - 4. Calculate the remainder when k(-5) is divided by a(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -2*h - 11, -3*h + 0*s = -2*s. Factor -1\/6*y + 0 + 1\/6*y**h.\nAnswer: y*(y - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + 0 + sqrt(99) - ((1*sqrt(44))\/sqrt(4))**2) + (sqrt(352)*2)\/sqrt(8).\nAnswer: -11 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19706 to the power of 1\/2, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9.1 + 9.065. Let g = 0.035 - o. Let p = 5 - 19\/4. Is p > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1734*d**3 + 2591*d**3 - 433*d**3 - 426*d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -68*g + 317. Let o be i(4). Let v be (-317)\/(-7) + 4\/(-14). Calculate the greatest common factor of v and o.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23 by 9.\nAnswer: 23\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 145446 + -1?\nAnswer: 145445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmhhxxrhxvhmmnnnnm. What is prob of picking 1 x and 2 n?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pdbbgdseg. Give prob of picking 1 g and 1 s.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.37569 to 3 dps.\nAnswer: 0.376","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 1\/2*f**3 + 5*f**2 + 17\/2*f - 14 = 0.\nAnswer: -7, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2918152 and 34?\nAnswer: 2918152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*z - 11. Let k = 8 - 11. What is the smallest value in 0.5, z, k?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 795 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -5*n**2 + 32*n. Let r(h) = 17*h**2 - 95*h. Let o(k) = 4*r(k) + 14*s(k). Find i such that o(i) = 0.\nAnswer: 0, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 0.08387.\nAnswer: -0.25161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ovbbbvbbbdobdb. What is prob of sequence vb?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xtxr when four letters picked without replacement from {f: 6, t: 2, p: 4, b: 2, r: 1, x: 4}?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19\/12 + -11\/6. Which is the nearest to -1? (a) -6 (b) -2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 62649234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 3*m + 2*m + 15, -3*m = 4*f - 23. Let a = -22 - -24. Suppose -s + a = -f. Does 2 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/167376 and 35\/11024.\nAnswer: 115322064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(1088) + sqrt(1088))*-3 - (sqrt(1088) - sqrt(1088)*-3)*2) + -3)**2.\nAnswer: 213248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 6*f - 4*d - 12 = 0, -97*f - 190 = -4*d for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i - 21 = -20*i. Solve t = -i - 2 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -427*g + 2547. Let d(b) = 429*b - 2556. Let a(c) = -6*d(c) - 5*h(c). Find the first derivative of a(p) wrt p.\nAnswer: -439","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 357*k**2 + 11871 - 11879 + 211*k**2 + (0*k - 4*k + 5*k)*(-3*k + 2*k + 3*k) + 3 - k**2 - 3 to the form u + y*k + g*k**2 and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11973, -11828, -11667, -11490, -11297, -11088, -10863?\nAnswer: -10622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (10 - 21)) + -10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7110967 is divided by 38.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 88572847?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**(-1\/11))\/o*o)**(-10\/13)\/((o\/(o*o**3\/o))\/(o*o\/(o\/((o*o**(-1\/30))\/o)))) assuming o is positive.\nAnswer: o**(6427\/4290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 6797 - 2436 = 0. Let t = u - 6. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*j**4 - 10960*j**3 + 174080*j**2 = 0. What is j?\nAnswer: 0, 16, 2176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 45715*b - 69689.\nAnswer: 45715","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2342*c**2 + 5044*c + 1414*c**5 - 1175*c**2 - 8687*c**5 - 1167*c**2 wrt c.\nAnswer: -145460*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 - -14. Let p be (-12)\/(-16) - l\/4. Suppose -p*g + 0*g = -178. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 149, -9, -2, 7, 0.\nAnswer: -9, -2, 0, 7, 149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -6\/11*a**3 - 36\/11 + 14\/11*a**2 + 30\/11*a - 2\/11*a**4 = 0.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -170\/7 in -3\/5, -2\/7, 0.1, 3, 188\/11?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304) + sqrt(304) + 1)*-1 - sqrt(304)) + sqrt(304)*2*3.\nAnswer: -1 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -173899, -173903, -173895, -173869, -173819, -173739?\n\"Answer: y**3 - 11*y - 173889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33323 - 22?\nAnswer: -33400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221220220001 - 221?\nAnswer: 221220212010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-1*(sqrt(832) + 2)*-6.\nAnswer: 12 + 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 28208.057 to the nearest 1000.\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 5)*(108*w**4 - 140*w**4 + 133*w**4).\nAnswer: 101*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of -w**4\/6 + 485*w - 1. Let f(d) = 519*d**2. Calculate f(l(v)).\nAnswer: 2076*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -60 (b) -2\/3 (c) -12920\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((-1*sqrt(216) - sqrt(216)) + sqrt(216)))\/(sqrt(200)*4).\nAnswer: -3*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 2*z + 114, -4*n + 31 = -3*n + 3*z. Suppose -4*t + 4 = -20. Suppose -16 = -t*p + 5*p. What is the greatest common factor of p and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - h + 2. Let v be l(0). Let o = -332541 + 332534. Put -9, v, o in decreasing order.\nAnswer: v, o, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213002 (base 4) to base 15.\nAnswer: b18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (0 - (6 - (-2 + -1)) - -14 - -75)\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 139 - 67. Let o = f + -40. Suppose -g = 4*u - u - o, 2*u - 14 = 3*g. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 54.2, -1\/2, 2, -0.1, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1560 and 52.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 10, -3, 55 in descending order.\nAnswer: 55, 10, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 4*n = 12, -13*f = -18*f + 4*n - 28. Let g be -2 + (f\/2 - 3612\/(-900)). Which is smaller: g or 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w - 4*w = 1360. What is the highest common factor of 34 and w?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/396540 and 7\/178155?\nAnswer: 1569901860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 5*b - 917 = 913 - 1952, 5*g = g - 3*b - 170 for g.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-18)*3*6. Suppose -3*t = 2*t + r*b - 60, -2*t + 24 = 5*b. Let c = -12 + t. Put c, 1, 3 in decreasing order.\nAnswer: 3, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -433 = -12*m - 1873. Let w be (3 + 3)*(-105)\/m. Factor 0 + 5*k**2 - w*k**3 - k.\nAnswer: -k*(3*k - 2)*(7*k - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168906 is divided by 56208?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 7:34 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 254337 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/(-4) - (-13 + (-1 - 1)). Let j = y - 0. What is the smallest common multiple of 2 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627348 times -8?\nAnswer: -5018784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15050\/(-1400)*4\/(-86)*2*-33?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 5*o - 1. Let g(j) = -j + 1. Let y be g(0). Let c be x(y). Solve b + 2*u + 6 + 1 = 0, -c*b - 3*u = 23 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 7) to base 5.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**20*i**11)**(-35\/3))**48 assuming i is positive.\nAnswer: i**4480","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2*(-3*sqrt(52) - sqrt(65)\/sqrt(5)*-6)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -7, 1, 5, -402?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1385898 is divided by 62990?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 64 - 59. Suppose k*w - f = 279, -5*w + w + 3*f + 221 = 0. Let a = w - 52. Solve 5*g - l - 5 = -5*l, -4*g - 5*l = -a for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 268 or 306?\nAnswer: 306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38 and 98605896?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g + 2*g - g - 22*g**3 + 21*g**3 - 8 - 2*g**2 + g**4 to k*g + x*g**2 + c*g**3 + n + d*g**4 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 25*j**2 - 135*j + 18. Let p be a(-18). Calculate the greatest common factor of p and 4770.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.1645 days in nanoseconds?\nAnswer: 3729412800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/2))**15\/(d\/(d*d\/(d*d*d**(-21\/4)*d)))**(-2\/9) assuming d is positive.\nAnswer: d**(-74\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 18\/5*220\/6. Suppose 0 = v - j - 28, 0*v - 3*j - 36 = -v. Suppose -u = u - v. What is the greatest common factor of u and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -21046070*v**2. Let g(u) = -2*u. Give f(g(o)).\nAnswer: -84184280*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3*x = 89, -3*q + 3*x = 13 + 38. Let w = -1 - q. What is the highest common divisor of 54 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + q - 2*q**2 + (4*q - 4*q - 2*q)*(-2 + 2*q + 2) + 2 - q**2 - 2 + 4*q + q**2 - 4*q)*(-5*q**2 - q**2 + 5*q**2).\nAnswer: 6*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 h, and 2 i when four letters picked without replacement from cxxxixsiahhxxxc.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -410871, -821042, -1231213?\n\"Answer: -410171*l - 700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1266011 (base 7) to base 10\nAnswer: 167735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -83\/14 - -59\/7. Let h(u) be the second derivative of 0 + 2*u - r*u**2 - 1\/3*u**3 + 1\/12*u**4. What is h(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + y - 11133. Let i be d(0). Let u = i + 111233\/10. Calculate the common denominator of 99\/32 and u.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -257729.698 to the nearest one thousand.\nAnswer: -258000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 8*r**2 + 4. Let i be m(-8). Suppose -i*x + 16 = 4*q - 2*x, -3*q - 2*x = -12. Which is the nearest to 0? (a) 1\/6 (b) -1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -223*d**2 + 1358*d - 8. Give f(6).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 12:19 PM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -21, -2, 19, 42?\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12\/7 - 1\/7*j**3 - 1\/7*j**2 + 8\/7*j.\nAnswer: -(j - 3)*(j + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of 1 + 5\/3*v**3 - 1\/4*v**4 + 0*v - v**2. What is the units digit of u(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*l + 2198 = 82*l. Let w = l - 316. What is the closest to 0 in 0.1, 6, w, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4967 + 4967.11. Which is smaller: n or 0.189?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 at most 267521\/2047?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 10 - 12)*(3 + 20 - 7)*(-2*s**4 - 3*s + 3*s).\nAnswer: -192*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 12*n**2 - 3*n - 1. Let w be y(-3). Let k be w\/14 - 4\/14. Let t(q) = -q + 2. Let d be t(k). Which is greater: d or -7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -84 + -10 + -5?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x - 1. Let q(v) = -2*v - 6. Determine 5*i(j) - q(j).\nAnswer: -3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -132*w - 617. What is the hundreds digit of p(-23)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 3*l + 1931975, 4*l + f + 2259928 = -316067. Round l to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.056, 1\/9, 0.07 in descending order.\nAnswer: 1\/9, 0.07, -0.056","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 1 + 36*g - 27*g + 30. What is the tens digit of p(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/1 - 3) + (-6)\/3. Which is the third smallest value? (a) h (b) -3\/5 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1906486 is divided by 145.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -13*w - 45. List the prime factors of n(-11).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2536721 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.34 - 0.65. Let j = d - -0.11. Let z = 0 - 0.5. What is the closest to 0 in z, j, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*20\/((-28)\/(-7))*(-3)\/(-195).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 + 2*h)*((1 - 5 + 2)*(2*h**2 + 0*h + 0*h) - 4*h**2 + 7*h**2 - h**2) to w*h + f + o*h**3 + y*h**2 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 3*c + s + 2, -5*c = 5*s + 10. Suppose 3*y + 4*p - 19302 - 14343 = 0, c = -5*y + 5*p + 56110. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -j**6\/12 + 9*j**5\/10 - 7*j**4\/4 - 17*j**3\/3 + 15*j**2\/4 + 25*j\/2 - 226. Solve s(r) = 0.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of g**7\/15 + g**3 + 11*g**2\/2 - 4. Let p(f) be the second derivative of l(f). What is the first derivative of p(z) wrt z?\nAnswer: 56*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l + 16. Let n = 252 + -189. What is the remainder when n is divided by c(0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 526*t - 232420 = 506*t. Is 11621 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 73602528 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 36*x**2 + 101*x - 69. What is v(33)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1810.5 and 0.198.\nAnswer: 358.479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*d**3 - 2*d**2 - 130 wrt d?\nAnswer: -12*d**2 - 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101100001 - -100100?\nAnswer: -100111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 6.118758 minutes?\nAnswer: 367.12548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 9:50 PM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/6 and (465\/(-20))\/((-63)\/6).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85869 (base 15) to base 2.\nAnswer: 1100111011101011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2*x + 4 = 0, -5*c + 8*x + 35 = 4*x. Solve -2*w = -t + 6, -2*w = 2*t + c*w + 24 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 2867900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*s**2 + 12*s - 12*s)*(4*s**2 - 2*s**2 - 3*s**2).\nAnswer: -12*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of -q**5\/10 - q**4\/8 + q**3\/6 - 12*q**2 - 22*q - 1. Let b(l) = -13*l**2 - 7*l + 3. What is 5*a(c) - 2*b(c)?\nAnswer: -4*c**2 - c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000008434667 rounded to seven decimal places?\nAnswer: -0.0000084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + 1 + 6*h**2 - h**2 + h - 5*h**2. Determine o(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one quarter of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*o\/o**0))**(-18\/5))**(-29))**(-1\/30) assuming o is positive.\nAnswer: o**(87\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of g**6\/60 - g**5\/10 + g**4\/6 - g**3 + 5*g**2\/2 + g. Let t(x) be the first derivative of u(x). Does 18 divide t(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 276172296?\nAnswer: 2, 3, 19, 605641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-52)\/26)\/((-28)\/21*(-12)\/56)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -795494, 4 in ascending order.\nAnswer: -795494, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-5)\/1 + 3)*-1. Suppose -3*y = a*y. Solve -b = -y*b - 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lrrgqq. What is prob of picking 1 g and 1 r?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 1, -10, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 + 0.9. Let n = 10 + p. Let r be (-2)\/60*485 + 11 - 2\/(-12). Which is the smallest value? (a) n (b) r (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132654617 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1115*c + 2783*c - 250*c - 720*c + 2244*c to q + i*c and give i.\nAnswer: 5172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 (base 10) in base 9?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 13 + 1260*l - 1259*l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(0 - (-4)\/1030). Let q = 21 + -10. Is (-10)\/(-55) - o\/q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -v. Let i = 4 + v. Solve -a + i = -3*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwnwleeeijnewejw. Give prob of sequence ewj.\nAnswer: 5\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 10*z**2 + 8*z - 10. Is a(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (9\/45)\/(144296\/288590 + 1\/(-2)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -2b?\nAnswer: 2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 18*t**2 + 8*t + 26. Let w be o(-4). Let f = w + -143. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 72 = 162. What is the remainder when 51 is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 488*j = 705*j + 2604 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + 32*h + 133. Determine a(-9).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a meter in centimeters?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1771*n + 3038*n + 2788*n - 639*n + 1299*n to t + i*n and give i.\nAnswer: 8257","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10072 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2030 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: Four letters picked without replacement from {b: 1, x: 2, l: 1, k: 2, n: 1, u: 1}. Give prob of sequence blxn.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40215.00000045671 + 40215. Round q to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5134 - 5132. Suppose -2*g - y + 5*y = -16, 0 = -2*g + 3*y + 14. Factor -8 - 63*j**4 + 59*j**4 - 5*j + g*j**3 + j + 12*j**t.\nAnswer: -4*(j - 2)*(j - 1)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 411 - 333. What is the highest common divisor of d and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6265?\nAnswer: 5, 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 149299446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.1 + -0.1. Let b = 2.1 - h. Which is smaller: b or 3\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/864 and -40\/159.\nAnswer: 45792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 0 (c) 15\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -557496 divided by 29\nAnswer: -19224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 100752 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((37\/185)\/(7\/(-5)))\/(25\/35)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.097 + 1.623. Let y = q + -0.58. Let p = 0.5 - y. What is p rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5369?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 130*q**2 + 266*q + 1257. What is f(-128)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6295 and 85?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -570\/11 + 106\/11*w**2 - 2\/11*w**3 + 466\/11*w.\nAnswer: -2*(w - 57)*(w - 1)*(w + 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + -3)\/(6\/108). Let w be (2 + 21\/c)\/((-4)\/(-24)). Solve w*o + 1 = 6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -5)*179\/((-527155)\/186).\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -30.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 5:13 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 1082 = d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 2869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 87.1853.\nAnswer: -87.0853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - (-1 - -2)) + (-223 - -246) - 35\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*v**3 + 30*v**3 - 10*v**3 - 4*v**3.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c + 3*z - 30, 32883*c = 32884*c - 3*z + 24 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.4, 50\/3, 2195, 48 in ascending order.\nAnswer: -3, -0.4, 50\/3, 48, 2195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-10) + 24\/110. Let k = -2.7688 + -0.2312. Let j = 79\/3 - 27. Put j, k, 4\/3, h in ascending order.\nAnswer: k, j, h, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2244 - 0?\nAnswer: -2244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zk when two letters picked without replacement from zkzkzzzkzzzkzzzk.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h + 25. Let w(x) = -13419295*x. Give w(n(t)).\nAnswer: 13419295*t - 335482375","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38.932 - 0.068. Let f = 20 - u. Let h = f + -59.053. Round h to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55 - 5*c - 2 + 4*c)*((2*c**3 + 0*c**3 - 4*c**3)*(0 - 1 - 1) - 5*c**3 + 3*c**3 + c**3).\nAnswer: -3*c**4 + 159*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/((-60)\/62 + 1). Suppose l - 18 = 13. What is the greatest common factor of z and l?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -20856, 5, 30 in decreasing order.\nAnswer: 30, 5, 1, -20856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6504 = -298*t - 363*t + 390*t for t.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 3*j**2\/2 + 19781934*j + 65220818796726 = 0?\nAnswer: -6593978","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2567*l - 3. Let k(f) = -f**2 + 112. Determine k(y(s)).\nAnswer: -6589489*s**2 - 15402*s + 103","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.9531907 rounded to 3 decimal places?\nAnswer: -19.953","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 - 3128.641?\nAnswer: -3165.641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 21*b - 10. Let k be g(-5). Solve c + k = 14 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1074 a factor of 102895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, -4, -2 in increasing order.\nAnswer: -4, -2, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 8.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 1 - -3) + -34 + (35 - 29)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34186?\nAnswer: 2, 17093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2465)\/(-476) - (-40)\/(-8). Which is smaller: 0 or d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -55844, 4 in decreasing order.\nAnswer: 4, -4, -55844","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/10 and -1\/122.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1339, 5283, 11883, 21145, 33075, 47679?\nAnswer: 64963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -94*h**3 - 9*h**2 + 2*h. Let a(x) = -2*x**3 + 2*x**2. Calculate 5*a(l) + f(l).\nAnswer: -104*l**3 + l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 7*b**2 + b - 3. Let a(c) = -4*c**2 - c + 2. Let p(g) = -5*a(g) - 3*o(g). Suppose 5*x = 4*k - 7, -8 = -k + 2*x - 7*x. What is p(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 5 = 0, 5*a - 11373327 = 3*d + 54341678. Round d to the nearest one million.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, -5, -0.04, 4\/3, 114?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i - 12*i + 84 = 0. Does 14 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**3 - 3*j**3 + 4*j**3)*(-23 - 884*j + 38*j + 23*j + 23).\nAnswer: -2469*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3.1, -2\/71, 0.5, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*r**4 + 30*r**3 + 19*r**2 - 151090*r.\nAnswer: -108*r**2 + 180*r + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78967988.\nAnswer: 2, 11, 241, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3630 + -3624. Let z(u) = -9*u + 8. Let h(g) = 18*g - 15. What is v*h(w) + 11*z(w)?\nAnswer: 9*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q + 3. Let t(l) = 4*l - 82. Calculate 5*o(s) + t(s).\nAnswer: -6*s - 67","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-14) + 417942\/294. Let x = g + -772. What is the hundreds digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9409428 to the nearest integer?\nAnswer: 3067","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -7*n**4\/12 + 6*n + 1. Let c(g) be the first derivative of y(g). Let z(o) = 2*o**2. Determine z(c(d)).\nAnswer: 98*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 6*f**2 + 2*f**2 + 1 - 1. Let u(t) = -2*t**2. Calculate a(u(i)).\nAnswer: 32*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -361*u**2 - 66*u**2 - 269*u**2 + 195*u**2 - 284*u**2 in the form k*u + t*u**2 + n and give t.\nAnswer: -785","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 967 divide 3330075306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gluprttggrgt. Give prob of sequence gtul.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 10\/7, 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k**2 - 36792*k + 36796 = 0. What is k?\nAnswer: -9199, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -2, 908, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32.8 + -33. Which is the closest to 0? (a) 3\/8 (b) -2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 26\/5 of a gram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 2*k = -39, -60 = 467*s - 472*s + 5*k. Put s, 106, -2 in decreasing order.\nAnswer: 106, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-five quarters of a millennium?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*g - 2*t, -10 = -0*t - 2*t. Suppose 11 = 9*z - 16. Put z, 7, g in ascending order.\nAnswer: z, g, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2702 - 515. Calculate the common denominator of (18\/p)\/(2*(-2)\/(-231)) and -43\/12.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 120, 130, 142, 156, 172, 190, 210?\nAnswer: 232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 68 = 4*c, 3*c - 14 = 4*k + 2. Let m(z) = z**2 - 10*z - 13. Let x be m(c). Is x at least as big as 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1451310 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -359 - -358. What is the third biggest value in 0, -5, a?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*b = -1437515 + 4704323. List the prime factors of b.\nAnswer: 2, 3, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xuxp. Give prob of sequence pxx.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(11\/((-44)\/4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(0 + 6 - 15)*(-j**3 - 9*j**3 + 0*j**3) - 4*j**3 + 0*j**3 + 5*j**3.\nAnswer: 91*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213108 is divided by 195.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**5*x**(-2\/5)\/x)\/((x\/x**(1\/6))\/(x*x*(x\/(x*x\/(x*x\/(((x\/(x**(-5\/3)*x))\/x*x*x)\/x)*x)))\/x*x)) assuming x is positive.\nAnswer: x**(51\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*d - 7*d**3 + 8*d**3 + 1 - 3*d**3 + 4*d**3.\nAnswer: 2*d**3 + 28*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -341 - 289 = -504*d + 459*d for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 15*d**3 - 2*d**2 + 5*d - 3. Let n(c) = -7*c**3 + c**2 - 3*c + 2. Let x be ((-3)\/2)\/(-5 + (-132)\/(-24)). Let r(q) = x*o(q) - 5*n(q). Give r(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 10*v - 60. Suppose g - k - v*k - 566 = 0, -g + 2*k + 558 = 0. What is the highest common factor of g and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3986*o - 27912. Calculate m(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 6*v**2 + 13*v - 3. Give d(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**2 + 3*i - 36 = 0. Calculate i.\nAnswer: -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 19 = 2*l, 3 + 1 = z + 3*l. Suppose 63 = i + z. Let q = i - 32. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in -11, -0.3, 2\/345?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 861213*n**3 + 1436 + 979 - 861211*n**3 to the form w + g*n + m*n**2 + a*n**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -110 + 30. Let v = n - -76. Which is the smallest value? (a) -0.14 (b) v (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + 2\/((-4)\/(-2)). Let a(p) = -2*p**2 - 11*p + 186. Let v(n) = 3*n - 31. Let w(r) = -a(r) - 6*v(r). Give w(i).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l**4\/3 + 164*l**3\/3 + 1360*l**2\/3 - 2576*l - 14400 = 0. What is l?\nAnswer: -25, -18, -4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27\/5 - 384\/5*i**2 + 12\/5*i**5 - 186\/5*i - 69\/5*i**4 - 306\/5*i**3 = 0.\nAnswer: -1, -1\/4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 15 + 3 = 4*p, -4*p = 3*s - 23. Let i(c) = -c**2 + p*c**2 + c**2. Let o(l) be the first derivative of 4*l**3\/3 - 14. Give i(o(m)).\nAnswer: 32*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (112\/63)\/((-840)\/540)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-106)\/4)\/((-1274)\/(-2548))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 3*b**2 + 4. Let a be d(3). Let o be 0 + 1\/(2\/a). What is the least common multiple of (36\/8)\/(o\/4) and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204 = -0*t + 4*t. Calculate the greatest common divisor of t and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 1041027?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -15*u**2 + 938*u - 14394. Determine r(27).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + g = -2*g + 230, -5*g = -25. Let s = -37 + p. Solve -3*d - 3*q = -s, q = -4*d - 4 + 9 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b**(-10\/7))\/b)\/b)\/(b**11\/b))\/(b**(-5\/2)*b\/(b**8\/b)) assuming b is positive.\nAnswer: b**(-55\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -889a (base 11) to base 14\nAnswer: -43b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -30*c**2 - 2. Let a(r) = 771*r - 16. What is a(j(x))?\nAnswer: -23130*x**2 - 1558","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38 + 37.93. Let o = -326 - -324. Which is the second smallest value? (a) k (b) -2\/17 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17712642?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -492 * 18.5.\nAnswer: -9102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 28686353327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11134282?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 2*c + r + 1778, 0 = 2*r. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j - 4*j + 7*j**3 - j**3.\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1461 to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -14*o - 12*o + 21*o - 1. Let u be (-2)\/(-8) + (-30)\/(-8). Suppose u*n = 7*q - 3*q + 12, -5*q = 25. Let s(m) = -m. Calculate n*a(i) + 9*s(i).\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206 is divided by 33.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b - 2. Let s be m(-2). Let g(t) = -6*t**2 + 5*t + s*t - 5*t. Let d(j) = j**2. Give g(d(r)).\nAnswer: -6*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 658 + -279. Suppose -125 - j = -24*s. What is the remainder when 690 is divided by s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a gram in milligrams?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(1331))*-4 + sqrt(1331) - sqrt(1331)) + -3)**2.\nAnswer: -88*sqrt(11) + 21297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*x = 22*x + 369. Suppose 3*b + 13 = -4*f + x*f, -f + 6 = -4*b. Suppose 0 = -5*y + 6*y - 2. Solve y*v = 3*v - f for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**4\/7 - 1536110*l**3\/7 + 3072226*l**2\/7 - 1536114*l\/7 = 0.\nAnswer: -768057, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1188 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -16.9907. Round s to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**3 + 69*w - 70*w + 40*w - 39*w.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 623.495um to kilometers.\nAnswer: 0.000000623495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -91 in 21, 26, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**4 - 3*l**4 + 4*l**4 + (-l**3 - 3*l**3 + 2*l**3)*(-2*l - 4 + 4))*((5 - 4 - 3)*(-l - 3*l + 3*l) + 7*l + 27 - 27).\nAnswer: 63*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-36 - -47)*29\/(0 + 1). What is the greatest common divisor of q and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**5 + 2*y**4 - 26*y**3 - 2*y**2 + 24*y = 0 for y.\nAnswer: -4, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*z. Let u be 3\/(-42) + (-1)\/2. Which is smaller: z or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -405 - -409. Sort -0.03, -2\/3, k, -1\/11 in descending order.\nAnswer: k, -0.03, -1\/11, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 9.99995. Round z to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168) + 2*sqrt(168))\/sqrt(7))\/(sqrt(24)\/(sqrt(4)\/sqrt(2))) + (-1*sqrt(10)*-5)\/sqrt(5)*-1.\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 4*n**2 - 1 + 5*n**2 - 4*n**2)*(94*n - 32*n + 132*n).\nAnswer: 970*n**3 - 194*n**2 - 194*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of 3*m**2 + 0*m + 1\/2*m**4 + 1\/3*m**3 + 0. Is l(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41c47 (base 15) in base 8?\nAnswer: -627402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that i**5 + 9*i**4\/2 - i**3 - 9*i**2\/2 = 0.\nAnswer: -9\/2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 60 = -6*o + 2*v, 4*v = 0. Let n(w) = -5*w**3 - 2. Let c(k) = 36*k**3 + 15. Give o*n(f) - 4*c(f).\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4*t = 33, -2*o + 0*o = -5*t - 15. Suppose -o*w - 18 = -17*w. Is 1\/((w\/381)\/3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 0.6, -10\/4403?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 6*t - 6 = -4*p, -3*p + 20 = 4*t. Is 3 at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1212132033 (base 4) to base 8.\nAnswer: -1463617","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 11*t = -3*z + 57, -5 = 5*z. Suppose -18*l + t = -14*l + 2*k, 4*k = -l + 10. What is the lowest common multiple of 16 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -2. Suppose -4*y - 18 = -o, 0 = 5*s - 3*y - 67. Let v = s - 1. What is the highest common divisor of 40 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 136 + -1 + 21 + -143?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 g when two letters picked without replacement from ugnyuuuyuuuunnggy.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -13310, -13772, -14234, -14696, -15158?\n\"Answer: -462*q - 12848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 52430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4*f = -4*i + 17, 2*i - 5*f = 47. Let v be (-40)\/12*(i\/(-6) - -2). Solve -v*l + 15 = -0*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -2*v + 5, -2*v - 2*c + 3*c = -7. Suppose v*l = t - 3, -l - 2*l = 3. Suppose -g + 28 = 3*p, -p - g - g + 16 = t. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2 + 0 = -4*j, -5*j + 15 = 0. Calculate the remainder when 85 is divided by -55*(-4)\/(-20)*c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -236110?\nAnswer: 236103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 56 + -2614?\nAnswer: -2525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32 - -48. Let s = 15 + -11. Suppose 0*o = -s*o + 48. Calculate the lowest common multiple of o and z.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 249018 and 98.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from psjjjjjjsj. What is prob of picking 2 j?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -62*k**4\/3 + k**3\/3 - 1420*k + 2. Let w(i) = 4*i. Calculate w(h(n)).\nAnswer: -992*n**2 + 8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 474*w = 489*w + 105 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06491451 to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -1 + 2. Let b be f + 2 + -821*1. Is -2 - -1 - b\/5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 70 - 97. Is 44 a factor of (-2385)\/j - (2 + 10\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-5\/2)*a*a)\/a)\/a)**0*a**(-21)*a\/(a*a\/(a*a**(-3\/13)*a)*a*a) assuming a is positive.\nAnswer: a**(-289\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 294 + -133. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/15*(-8)\/(-80)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1387417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 42 = -g. Suppose -4*p + 14 = 3*m, -2*m = -0*m - 4*p + 24. Let k(u) = -2*u + 3. Let z(c) = 6*c - 10. Calculate g*k(s) + m*z(s).\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -10110 (base 2) to base 9\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2140402?\nAnswer: 2, 11, 17, 59, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2230)\/(-170) + -13 - 6\/51. Sort j, -0.4, -2, 13 in ascending order.\nAnswer: -2, -0.4, j, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/18 and ((-150)\/(-28))\/(13338\/665).\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1138 = -5*w + k + 247, 5*w = 3*k + 1395. Calculate the least common multiple of w and 460.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 698810 and 245?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(5))**2*2 - sqrt(5)) + ((sqrt(15) + -2*sqrt(15) + sqrt(15))\/sqrt(3) - sqrt(5)) - -1*sqrt(10)\/sqrt(2)*-6) + 1*(1 + 2 + sqrt(45))**2*2.\nAnswer: 24*sqrt(5) + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/35)\/((-1)\/(15\/(-21))).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h - 7. Let y be w(-8). Calculate the highest common factor of y and 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 577606988?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4 + 4*w**3 - 11*w**2 + 6*w.\nAnswer: w*(w - 1)**2*(w + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/3 - -2 - -2.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/9 (b) 4 (c) 3\/17 (d) -12\/37 (e) 0.2 (f) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 3:38 AM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7.4 + 7. Let f = 4.4 + b. What is the third biggest value in 0.3, f, 3\/8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*(4*u - 11*u + 11*u)*(6*u + 0*u - 3*u).\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.1, 3, 1.4, -5, 0.027, -0.2?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72 and 6.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*c = 36*c - 80 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2120 is divided by 233.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 16, 28, 42, 52, 52, 36, -2?\n\"Answer: -i**3 + 7*i**2 - 2*i + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363) - 2*(-1 + sqrt(363))) + 2*sqrt(363)*2)**2 + (sqrt(12) + sqrt(48)\/sqrt(4) + 0 + (sqrt(3) - sqrt(3)*1 - sqrt(3)) + sqrt(3))**2 + 3.\nAnswer: 132*sqrt(3) + 3322","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4\/5 - 184156*t**3 - 920782*t**2\/5.\nAnswer: 2*t**2*(t - 460391)*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 246376709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2904 and 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 3*t + 60 = 0. Let k be (-246)\/t + 4\/(-10). Suppose 2*p - 320 = 2*h - 58, 4*h = -k. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9481975 or -9481972?\nAnswer: -9481975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1466901?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/((-896)\/(-4)))\/((-7)\/28)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k - 6. Let s(f) = -4*f - 12. Let g(z) = 3*s(z) - 5*v(z). Let n be g(-4). Solve 2*j = -3*h - 6, 5*j + h = n*h + 19 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 792 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 99, 342, 995, 2262, 4347, 7454?\n\"Answer: 34*y**3 + y**2 + 2*y + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.21894818 and 0.4.\nAnswer: 0.087579272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 539132888 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + z**2 + 29. Does 12 divide w(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6*(-10)\/(-525))\/((-384)\/(-80) - 5)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -148*b**3 - 3*b**2*i**2*w - b**2*i*w + 4*b*i**2 - 2*b*i + i**2*w - 49*w wrt b?\nAnswer: -888*b - 6*i**2*w - 2*i*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 25, 0.267 in increasing order.\nAnswer: 0.2, 0.267, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 845543404?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2864, -7, 5 in ascending order.\nAnswer: -2864, -7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/72 and (-4429)\/721*1\/(-15).\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.17719 weeks in microseconds?\nAnswer: 48491164512000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 300 is divided by 34.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 92018*v**3 - 10821*v**2 - 3 wrt v.\nAnswer: 552108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*j - 6*j + 116*j - 100*j.\nAnswer: -17*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q, 1 s, and 1 l when four letters picked without replacement from {j: 1, u: 6, l: 5, q: 2, s: 2, a: 1}.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1505, 1510, 1515?\n\"Answer: 5*u + 1500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 595247119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 5*k - 184*l + 186*l + 6, 0 = 6*k + 3*l + 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2 - 1296*v + 18928.\nAnswer: -4*(v - 14)*(v + 338)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a microsecond in nanoseconds?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 8 = -7. Suppose 3*n - 5*k = 103, g*n + 41 = 4*n - 5*k. Calculate the remainder when n is divided by 1\/2*1*22.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 38*z**2 + 0 - 37*z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*y**3 + 18*y**3 - y + y**3 + 27*y**2 to the form r + p*y**2 + q*y + k*y**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6648, 4, 7, -4, 15 in descending order.\nAnswer: 15, 7, 4, -4, -6648","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/(-28) + (1 - 36\/14). Let i be 90\/45 - (-4 + (-2)\/j). Suppose 6*g - 2*g + 13 = i*p, -4*p = -g - 17. Solve 2*q - 27 = 4*w - 1, q + g*w = -7 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7869, 4920, 17695, 30450, 43179, 55876, 68535, 81150?\nAnswer: 93715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -1 + 18*o**2 + 7*o + 10*o**2 + o**3 - 11*o**2. Does 73 divide h(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4794.56 - -4914. Let h = t - 114. Let r = h - 0.34. What is r rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 24 = 2*y. Let j be 7\/3 - (-3 + y). Put -0.5, -0.3, j in ascending order.\nAnswer: j, -0.5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1445, -1373, -1301, -1229, -1157?\nAnswer: -1085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 18*y**2 - 2*y + 33. Let v be l(18). Let w be v\/((-9)\/2)*-12. Let h be (2\/3)\/(w\/(45 + 3)). Put 5, 1, -5, h in descending order.\nAnswer: 5, 1, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -8*k - 34 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1737 + -1736.999996266. Round w to seven dps.\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - (6 - 2))\/(-1). Put k, 5, -7 in increasing order.\nAnswer: -7, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzhqq. What is prob of picking 1 q and 1 z?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1762.488 + 3.\nAnswer: 1765.488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 + -4 + (-6 - -10). Is ((-2052)\/48)\/(u\/(-16)) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + (-1)\/(3\/6). What is the first derivative of -9*k + 9*k + 9*k**2 - 35*k**2 + m*k - 109 wrt k?\nAnswer: -52*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t**9)*t)**19\/(t\/(t\/t**(-4\/9)))**(-4\/3))**(4\/9) assuming t is positive.\nAnswer: t**(-16480\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3240 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0356645972 to six decimal places.\nAnswer: 0.035665","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/((17\/(-17))\/(86\/(-473))).\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -38097, -38093, -38089, -38085?\n\"Answer: 4*x - 38101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 4593 (b) -1\/2 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*r**2 - r + r**2 - 2*r**2)*(9*r**2 + 15*r**2 - 6*r**2) to w*r**2 + p*r**4 + y*r**3 + v*r + d and give p.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 321440?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 7*i + 13. Let h be f(8). Solve 5*d = l - h, -3*d - 5 = 2*d + 3*l for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2636 - 2633. Let u(j) = -j. Let y be u(1). What is the closest to y in w, 15, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110296693?\nAnswer: 13, 8484361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sxnrsrjsnn. Give prob of sequence sj.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -86*q - 2. What is h(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 133, 650, -74 in descending order.\nAnswer: 650, 133, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 35*k**2 - 194*k - 35. What is the remainder when 141 is divided by b(28)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1555584300 to the nearest 1000000.\nAnswer: 1556000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**5 - 4*h**5 + 4*h**5 + (2*h - 7*h + 0*h)*(2*h**3 - 3*h**3 - h**3)*(0*h + 0*h + 2*h).\nAnswer: 22*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.71 - 0.71. Let b be (-22)\/(-26) - (-1)\/(-1). Put b, 0.5, s in increasing order.\nAnswer: b, 0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - x + 6. Let j be m(0). Let c(y) = -7*y + 6. Let n(r) = -7*r + 5. Let b(h) = 2*c(h) - 3*n(h). Is b(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 - 1 - 4267*i + i**3 + 4273*i - i**2 to the form f*i**3 + t + a*i + u*i**2 and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ch when two letters picked without replacement from {h: 1, y: 1, c: 1, b: 1, x: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((sqrt(72)*2)\/sqrt(12))\/sqrt(2))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/5 (b) 17 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60483?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of 0*b**3 + 0 + 0*b - 2\/105*b**7 - 5*b**2 - 1\/4*b**4 + 0*b**5 + 0*b**6. What is the second derivative of j(o) wrt o?\nAnswer: -48*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.08 and -1489.\nAnswer: -119.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 65816 or 65815?\nAnswer: 65815","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(20\/24 + (-1)\/((-18)\/12)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/sqrt(2))\/sqrt(4) + -4.\nAnswer: -4 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(9856\/12)\/7. Let d = k - -497\/6. Find the common denominator of (-1385)\/(-1600) - (-3 - (-39)\/15) and d.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/2, 215\/4, 109.2 in increasing order.\nAnswer: 5\/2, 215\/4, 109.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.049 in -5, 4, -13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -1)\/(16\/(-80))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-8))\/((-378)\/252)*8?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 17*u**2 + 42*u - 65. Let h be o(-32). Suppose 2*f = -l + 2*l - 2795, 5*l - 4*f = h. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p + 14. Let r be y(12). Let s(c) = -10 + r*c - 11 + 43*c**2 + 22. List the prime factors of s(-1).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14288497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -7*d + 1. Let w(p) = 6*p - 1. Let b(y) = -5*c(y) - 6*w(y). Let j be b(0). What is the greatest common factor of 3 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51 + -40. Let m(c) = -10 + c + 0*c + 3. What is the units digit of m(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -545478*a**4 - 6*a**2 - 6952961*a.\nAnswer: -6545736*a**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 108, 104, 100, 96, 92?\n\"Answer: -4*r + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3197, -3, 5, 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-11)\/(33\/(-30)))*213\/426?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.08 - -0.12. Let t = 0.5 - 0.3. Let l = r + t. Round l to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -13*a**2 + 2*a - 5. Give h(-3).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2192 - -23667.\nAnswer: 25859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of -4*l**6\/15 - 9*l**4\/2 + 7*l**3\/6 + 855*l**2. What is the second derivative of w(g) wrt g?\nAnswer: -192*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*d - 36 - 66 = 0. Sort 0, d, 25.\nAnswer: 0, d, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9012 - -8039. What is the fourth smallest value in -0.1, 0, a, -3, -1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(704) + (sqrt(704) - (sqrt(704) + (sqrt(704) - (sqrt(704) + 0 - sqrt(704))))*1)**2.\nAnswer: 8*sqrt(11) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51068, 51067, 51066, 51065, 51064?\nAnswer: 51063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -c00 (base 15) to base 7\nAnswer: -10605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -3 + 11. Suppose -b = -6*b - 4*p - 28, -2*b = -s*p + 4. Let d = 4 - 4.4. What is the second biggest value in d, b, 0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 85, 201, 365, 577?\nAnswer: 837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13.1 - 9.1. What is the second biggest value in 0.3, 0.07, w?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 11022040?\nAnswer: -11022030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3509, -3467, -3425, -3383, -3341?\n\"Answer: 42*a - 3551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3422 and 64546?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d = 17*d + 108. Let t(y) = 3*y**3 - 2*y**2 + 5*y + 7. Let w(f) = -5*f + 2*f**2 - 5*f**3 - 3 + f**3 - 5. Let q(p) = d*w(p) - 5*t(p). Determine q(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = b - 5*q - 25, b - 3*q - 8 = 0. Suppose 0 = -b*p + 734 + 186. Let n = p + -1469\/8. Find the common denominator of n and -38\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of -a**6\/60 - a**5\/12 + a**4\/4 + 2*a**3\/3 + 22*a**2. Let p(d) = 4*d**3 + 11*d**2 - 13*d - 9. What is -6*p(v) - 13*q(v)?\nAnswer: 2*v**3 - v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*m + 22 + 6. Let d be (-3)\/(-24)*(4 + m). Put d, -0.4, 4\/13, -1 in descending order.\nAnswer: d, 4\/13, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01211633 to 3 dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a decade in years?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/5460 and 27\/686.\nAnswer: 267540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 200098, 200115, 200130, 200143, 200154?\n\"Answer: -d**2 + 20*d + 200079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 w when four letters picked without replacement from {x: 1, f: 2, d: 2, w: 2, a: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -107?\nAnswer: -32.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3*b + 2 - 4)*(3 - 3 + 2)*(-12*b**3 + 1 + 12*b**3 + 8*b**4).\nAnswer: -48*b**5 - 64*b**4 - 6*b - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3*i + 125 = 4*r, -3 = r + 5*i. Differentiate -19*j - 4 + r*j + 7 wrt j.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**3 - 4*w**2 - 4*w + 7. Calculate t(5).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -5*g + 4*a, -6*a + a = 15 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4.62, 2, 4\/5, 5, -26, 0.5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -823, -819, -813, -805, -795, -783, -769?\n\"Answer: f**2 + f - 825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -4. Suppose 3*j + 7 = -v + 3*v, 2*v = -c*j + 13. Suppose 2*q - j = 5. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 q when three letters picked without replacement from ccscqcqcqscscscc.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -63 + 63.4. Which is the third biggest value? (a) -1\/3 (b) m (c) 5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 226 - 223. Let v = -2 + 12. Suppose -4*d = d + v. Put h, d, 4 in decreasing order.\nAnswer: 4, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 25*s + 6. Let r(h) = -5*h - 1. Calculate -11*r(l) - 2*z(l).\nAnswer: 5*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -4*b**3 - 31*b**2 - 67*b - 337. Determine x(-10).\nAnswer: 1233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1632*w + 1635*w - 615 = 3*j, -5*w - j = -995. Solve 0 = -w*f + 182*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12873267?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -42*(((-36)\/21)\/6)\/(-1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - 580\/(-84))*-9.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/19 and 21064\/(-8496)*6 - -15.\nAnswer: 3363","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 p, and 1 i when three letters picked without replacement from {d: 4, i: 5, p: 1, h: 1}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3116 = 534*c + 17192 + 19496 + 7546 for c.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21004*l**3*q**2 - 2*l**2*q**2 + l**2*q + 3*l*q**2 + 83*l*q + 10*l + 2*q**2 - 8*q wrt l?\nAnswer: -126024*l*q**2 - 4*q**2 + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (0 + 19 - 8)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*j = -12. Let b be ((-9)\/j)\/(3\/4). Is -2*(7\/b + -2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -76246*v**2 + 30*v - 1092 wrt v.\nAnswer: -152492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0.6, 0, 41, 21, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3977 and 82.\nAnswer: 7954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.17511ml to litres.\nAnswer: 0.00417511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -446, -892, -1302, -1658, -1942, -2136, -2222, -2182?\nAnswer: -1998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15590 divided by 71?\nAnswer: 15590\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -8, 0 = -25*u + 21*u + 5*h + 1162. Calculate the remainder when u is divided by 72.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 + -69?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l + 139 - 139 + 0*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.2, -21, -3\/7, 5\/33, -1 in increasing order.\nAnswer: -21, -1, -3\/7, 5\/33, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 5:22 AM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l**3 - l**2 + l - 1. Let t(b) = 13*b**3 + 2*b**2 - 2*b + 9. Let u(x) = t(x) + 2*w(x). Let n(c) = 26*c**3 + 20. Determine -6*n(y) + 17*u(y).\nAnswer: -3*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93, 135, 169, 189, 189, 163, 105?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12 minus -0.1066471?\nAnswer: -0.0133529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77552?\nAnswer: 2, 37, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((-3)\/9) + 12. Let l = y - 8. Let x = 15 - 14.5. Sort 0, l, x in increasing order.\nAnswer: 0, x, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -d**4\/6 + 2*d. Let g(r) be the second derivative of r**4\/4 - r + 19. Calculate q(g(x)).\nAnswer: -18*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/(-2))\/((-7)\/56). Suppose x*t = -2*f - 14, f = t - 2*t - 3. List the prime factors of 46 - -2*2\/t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.01 + 0.09. Which is the closest to 1? (a) -0.2 (b) 2\/7 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -17*q**3 - 4*q**2 - 31*q - 35. Determine c(-3).\nAnswer: 481","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1\/687897?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -46112, 1290.\nAnswer: -46112, 3, 1290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 3 + -2 + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-146)\/14 - (-8 + -2). Let m be (-8)\/(-6) + (-1 - 0). What is the second biggest value in -3, f, m?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 u when two letters picked without replacement from {u: 11, a: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 55? (a) 3\/22 (b) -1 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from -0.08885.\nAnswer: -2.08885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-75367)\/(-4))\/(62\/248) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -4\/13, -1.05, -0.11, -3?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gsoogssgoggksskoogg. What is prob of sequence kksg?\nAnswer: 35\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3*q**2. Let y(p) = 28*p**2 + 21*p - 19. Let i be y(-9). Let w(r) = -18 - i*r - 2*r**2 + 2060*r. Calculate d(w(a)).\nAnswer: -12*a**4 - 216*a**2 - 972","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*i - 864719 - 11113. Let r = 14597231\/200 + i. Find the common denominator of -11\/3 and r.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 - -40. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 9:58 PM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, 71.3, -0.4, 2\/15?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z - 6. Let l be g(-4). Is (1\/l)\/(4\/552) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 143197*z**3 - 156123*z**2 wrt z.\nAnswer: 859182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17436.9606 rounded to the nearest ten?\nAnswer: 17440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1161.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + -0.1. Let m = 0.6 + -0.1. Let t = -3.47 - -3.37. Which is the closest to z? (a) t (b) m (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 715*a*m**2 - 6*a*m - 352*a + 3651*m**2 - 69660 wrt m?\nAnswer: 1430*a*m - 6*a + 7302*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -18310 to the nearest one thousand.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from hhmm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 1743356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1773*o + 21693*o - 2833*o to n + t*o and give t.\nAnswer: 17087","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*s - 2*s + 14*s + 702 = 0 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/27 in 45, -5, 1\/9, -0.4?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*t = 103*t - 2886. What is the third smallest value in t, 0.05, 3\/4, 5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 4) to base 15.\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 329329?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -111, -200, -267, -312, -335, -336, -315?\n\"Answer: 11*y**2 - 122*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 36 = 4*n, v + 25 = -4*n + 4. Let m = 8 - v. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/(-30) + -1)\/((-78)\/65)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-20 - (-5 + 0)) + 10\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/2*20\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r - 1. Let s(z) = -14. Let g(u) = -2*m(u) + s(u). Calculate the remainder when g(8) is divided by ((-5)\/10)\/(1\/(-4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**3 - 1060*s + 1060*s.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -2*sqrt(75))*-2 - (0 + sqrt(75) + 2 + 0))**2*-4.\nAnswer: -2956 + 960*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 - 4*s**2 - s**2 + 7*s**2 + 2*s. Determine m(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 142475?\nAnswer: -3\/142475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 23*g**2 - 21*g - 19. Let q be w(22). Let f be -2 - 9\/(6804\/(-1472)). Let k = 446\/5859 - f. What is the third smallest value in k, -1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37\/7 - 213\/35. What is the closest to 1 in -2\/9, a, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that s**2\/4 + 366*s - 4401\/4 = 0.\nAnswer: -1467, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1881754860 divided by -4\nAnswer: 470438715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11144 + 0?\nAnswer: 11144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32667879?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qyq when three letters picked without replacement from {y: 1, q: 7, r: 2, v: 7}.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*o - 16*o = 10. Let u be (o - 44\/20)*(3 + -4). Factor -1\/5*m - u*m**2 + 2\/5.\nAnswer: -(m - 1)*(m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 7*d**2 + 10*d + 150. Give a(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 3*b + 86, 83 = 5*c + 4*b. What is the highest common divisor of 34542 and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.69122514 rounded to three dps?\nAnswer: 0.691","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**4\/7 - 14005182*h**3\/7 - 21793865191956*h**2\/7 - 11304608637661173480*h\/7 + 90438263915832338496\/7.\nAnswer: -3*(h - 8)*(h + 1556134)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -5*x**2 + 3*x. Let j(h) = 6*h**2 - 4*h. Let p(k) = 3*j(k) + 4*v(k). Let t(l) = -l**2. Determine t(p(m)).\nAnswer: -4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 38 = 3*r, 4*i - 75 = 5*r - 21. Let h(x) = 1 - 7*x - 5*x - x**2 + i*x. Let o = 9 + -8. Determine h(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -5238\nAnswer: -2\/2619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8187\/4 + -2047. Let h = -15.9 + 16. What is the closest to d in 1\/4, -0.06, h?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 536883619 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 170891\/28746 - 2\/4791. Calculate the common denominator of (-1)\/(-16)*(-3192)\/18 and j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 1109*n + 29964. Give j(-28).\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 149*w + 148. Let s be x(-1). What is the second smallest value in -13, -6, s?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.03 + 0.03. Let u = m + 1. Let f = -3 + 8. What is the nearest to u in f, 0.4, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g - 3*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -0.08 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 7 = -3. Let f be q + (-34 - 3) - 1. Let n be (0 + 6\/(-8))*f. What is the greatest common factor of n and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.72404466 - -4.7246. What is n rounded to five dps?\nAnswer: 0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 10*i**2 + 8*i + 12. Let s be k(9). Suppose s*v - 6 - 174 = 0. What is the remainder when v is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1511 - 1323. Which is bigger: -0.43 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*y**3*z**2 - 8*y**3*z + 6*y**2*z**2 + 2*y**2*z - 9*y wrt y.\nAnswer: 54*z**2 - 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + -1)*(-1)\/4. Let o(f) = 6*f + 17. Let m be o(-3). Which is bigger: m or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101110111 (base 2) to base 4\nAnswer: -11313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 618 - 614. Sort 17, x, 0.\nAnswer: 0, x, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 204 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 329941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.4 + -0.8. Which is smaller: 0 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 211 + 1012?\nAnswer: 1223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-13)\/78)\/((-3)\/(-588)). Which is bigger: m or -34?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 4*g + 8, -3*t = 5*g - 3*g + 1. Let s be (12\/10)\/(3\/30). Suppose 3*z - 8 = 2*z. Solve 0*u + 3*k + z = -u, 0 = -t*k - s for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -1\/15 (c) 1 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -2\/15 (b) 112 (c) -85 (d) -0.5 (e) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1023313 + 1?\nAnswer: 1023320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 1:41 PM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/201312 and -95\/8343264?\nAnswer: 75089376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4*x + 57. Let n be o(-15). Let d(i) = 4*i + 7. What is d(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 97*t + 92*t = -20, d + 2*t - 8 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, p: 1, u: 1, j: 5, c: 3, f: 1}. Give prob of picking 1 f and 1 u.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -44*t - t + 96 + 264 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-4))\/((-95)\/(-570))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19943506 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -4. Let r = 4 - f. What is the greatest common factor of r and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 1.759?\nAnswer: -5.277","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mn when two letters picked without replacement from {n: 16, m: 4}?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0*o = -2*o - 57, 2*o + 204 = 4*s. What is the remainder when s is divided by 2 + 17 + (-2)\/1?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/2 (b) 102 (c) 28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6262920 to the nearest integer?\nAnswer: 2503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149558 is divided by 195.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1930*q - 3976*q + 2480*q)*(4 + 2 - 3)*(-6 + 6 - 2*q**2) - q**3 + 3*q**3 - q**3 + (q - q + q**3)*(-1 + 1 + 2).\nAnswer: -2601*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 a factor of 41405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d - 19. Let m be o(-11). Let h be (-270)\/(-40) - 2\/m. Suppose 2*z = 8, -6 = -4*l + z + 6. Solve -h + 27 = -l*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 356470\nAnswer: -1\/71294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3834)\/684)\/(-71)*2\/1.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y**3 - 179*y - 217884*y**2 - 187*y + 368*y.\nAnswer: -6*y**3 - 217884*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 572190 less than 2.354?\nAnswer: -572187.646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -5 + (-5 - -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 59 - (119 + -77 - -70).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + -1*(6 + 29).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 5858*s - 907979. Determine w(155).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36*v + 15*v**3 - 36*v)*(-3 - 4 + 4 + (5 - 1 - 5)*(24 - 4 + 13)).\nAnswer: -540*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -654, -2192, -4668, -8094, -12482, -17844, -24192, -31538?\nAnswer: -39894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of -2\/3*f**3 - 1 + 3\/2*f**2 + 0*f. What is the second derivative of r(j) wrt j?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2497 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eleven halves of a microgram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 1.634, 0.3, -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 79166387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 689735671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, -2\/97, 3183?\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 601 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5*7\/(-14) - 324770\/(-20).\nAnswer: 2, 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2 + 3 + 1 - 4 - 2*n. Let o be q(-2). Let u(a) = a**3 - 3*a**2 + a + 2. Let g(z) = -1. Let c(r) = -3*g(r) - u(r). Determine c(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-56)\/12*3\/(-6)*-3. Let v(j) = -j**3 - 7*j**2 - 11*j + 12. List the prime factors of v(r).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -17*w - 4. Let t(y) = -33*y - 8. Let x(b) = -7*q(b) + 4*t(b). Let s be x(-2). What is the highest common factor of 11 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 168.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*2*sqrt(104)*-3)\/(1*sqrt(72)*-2).\nAnswer: -5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + f**2 + 2*f + 3. Let o be l(-4). What is the highest common divisor of 30 and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(5\/11)\/o**(-1))\/(o**(3\/7)\/o)**(9\/13))**(-6\/13) assuming o is positive.\nAnswer: o**(-11112\/13013)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 496.164 tonnes?\nAnswer: 496164000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 918 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(3\/2)*j*j)**(-20))**(-5\/3)\/(j**(1\/7)*j**4*(j\/(j**1*j))**(-30)) assuming j is positive.\nAnswer: j**(111\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/2175 and -95\/27552?\nAnswer: 19975200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1679396711?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*i**2 - 2*i**2 + 2*i**2 + (-2*i + 0*i + 4*i)*(4*i - i - 6*i) - 11 + 11 + 56*i**2 as b + u*i**2 + z*i and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3250 + -29237\/9. What is the common denominator of x and -76\/21?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.033205 to 4 dps.\nAnswer: -0.0332","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yz when two letters picked without replacement from ruybz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 816 = 11*u - 372. Let b = 8 + -2. Suppose 3*m - 320 = 4*g, m + g + b = u. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*x**4 + 145*x**3 + 440.\nAnswer: 8*x**3 + 435*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 12:30 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - q = -0*j + 6, -6 = -4*j + 5*q. Let m(d) = 0*d + 5*d - 23 + 2*d + j*d. Let n = 2 - 8. Let s(a) = -4*a + 8. Determine n*m(v) - 17*s(v).\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 141514*-16.6.\nAnswer: -2349132.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 0*m - m)*(-2 + 0 + 4)*(-2 + 4 + 0) + (-2*m + 2 - 2)*(0 - 2 + 3) - 255 - 22*m + 255.\nAnswer: -28*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -169 or -123?\nAnswer: -169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3799059\/10 + 380292. Let v = 387 - c. Which is smaller: 2\/3 or v?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 f when two letters picked without replacement from fccyn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 9141 times -639\nAnswer: -5841099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.7, -0.5, 0.2, 2738, 3\/13, -0.1?\nAnswer: 2738","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01613233 to 5 dps.\nAnswer: 0.01613","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41040 (base 5) to base 10.\nAnswer: 2645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.04 + 1.44. Let b = p - 1.5. Let q be (-4 + 5)\/(1\/(-4)). What is the closest to b in -1\/6, q, -0.2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 166*x**2 - 4485*x + 359. Determine m(-132).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18)\/(-45) - (-459)\/15. Suppose -22*b = -u*b + 144. What is the remainder when 86 is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33656318 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9 - 376\/(-40))*(-450)\/(-12) + -6. Solve -740 = -p*u - 803 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of 0 - d**2 - 2*d - 1\/6*d**3. Calculate v(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -6615?\nAnswer: 8\/6615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*i + 8 - 9 + 2*i + 8*i as t + f*i and give f.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16977*b - 17012*b = -23275. Solve -5*x - 635 = -b for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aizdahaizhzzdk. What is prob of picking 1 i and 1 a?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n - 2. Let a(b) = b**3 + 29. Let h be a(0). Suppose -2*q = -w - 21, 0*q + 3*q - h = -w. What is the lowest common multiple of q and c(5)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 299330 and 36770.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 2*r + 3*f - 11, f - 7 = -r. Suppose r*s + s = 15. Calculate the remainder when 7 is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*15*(-11)\/(-1320).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44791 + -25023. What are the prime factors of b?\nAnswer: 2, 7, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 33\/55 + (-437)\/(-5). Suppose 0 = -49*v - 50*v + 3168. What is the greatest common divisor of j and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 9 + 6. Let i = 14 - 16. What is the units digit of i + -2 + (m - -30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9472204.7 rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(1584)*-2*-6 + 4.\nAnswer: 6 + 144*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 23*f + 487. Let c be p(-23). Let l(j) = -2*j**2 - 86*j - 82. What is l(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37672311.\nAnswer: 3, 12557437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2490 and 13751025?\nAnswer: 1245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 375.7287ml in litres?\nAnswer: 0.3757287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 33*v**2 + 164*v - 1. Let q be f(-5). Which is the third biggest value? (a) q (b) 38 (c) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 1:43 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44 + 126 - 82 - 12*y.\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*y = 82*y - 27*y - 4120. Solve -15 = 5*x, -21*x - 11 = 4*t - y*x for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39 (base 14) to base 8.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 820093396 to the nearest integer?\nAnswer: 936","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 3*q - 40. Solve 4*l - 4*j = q - 6, -7 = -2*l - 3*j for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17250027 and 7.\nAnswer: -120750189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*t - 19095 = -18939 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 199 - 191. Suppose 2*i + 3*i = 5, 0 = -2*a - 3*i - 3. Let f be 32\/6 + 1\/a. Solve 2*u + g = h, -h - 10 + 30 = -f*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1611.33 - 1496.4. Let x = h - 1.93. Let g = x + -116. Which is the third smallest value? (a) 2\/9 (b) g (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -364, -732, -1100, -1468?\n\"Answer: -368*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 15\/4, 5\/6, 6?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -2 (b) -3 (c) -5 (d) 53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79602 is divided by 357?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 57*s**2 - 537*s - 249. Determine b(45).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268 is divided by 134.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2614 - -1743. Let k = -872 - f. Which is the third biggest value? (a) 2\/19 (b) -0.4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8683 and 618321?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5766 * 7.\nAnswer: -40362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3347962 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42885257 and 9028?\nAnswer: 2257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*q + 9. Let y(h) = 369*h**3 + h**2 + 3*h - 3. Let l be y(q). Suppose l - 115 = 5*b. List the prime factors of b.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -76*s - 2. Let b(q) = -1. Give b(k) - d(k).\nAnswer: 76*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(3\/(-42))*17980\/(-7192)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**5 - 145*o**4 + 1006*o**3 - 1668*o**2 - 684*o + 2133 = 0. What is o?\nAnswer: -79, -1, 3\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7247\/597 + -94\/199. Which is the smallest value? (a) 4 (b) y (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(1573) + 4.\nAnswer: 5 + 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*f + 33*f = -7*x + 2*x + 145, x + 21 - 13 = 4*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -47*r**9\/504 - 2*r**5\/5 - r**4\/24 - 50*r**2. Find the third derivative of b(t) wrt t.\nAnswer: -5640*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rdctdrwwrdbrrdcdrcbr. Give prob of picking 1 t and 1 r.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1871, -3942, -6003, -8048, -10071, -12066, -14027, -15948?\n\"Answer: d**3 - d**2 - 2075*d + 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73897 is divided by 33.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 51018351 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 345171065 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 22946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppc when three letters picked without replacement from ppppppppppppppcpcpp.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2278302573 take away -3?\nAnswer: 2278302576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -32155 - -4?\nAnswer: -32151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34)\/(-6)*(4330725\/1921)\/175?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/sqrt(28) - 3*(sqrt(12) - sqrt(36)\/sqrt(3)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 5 (b) -3 (c) 104\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**2\/9 - 2036*v\/9 - 518162\/9 = 0.\nAnswer: -509","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 139857 - 80562. Let a = c - 59279.99996. Let q = a - 15. What is q rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from annnnnanlallniiinana. Give prob of picking 1 n and 2 l.\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.08, 48.02, 2\/12163?\nAnswer: 48.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 71 = -5*m - 293, 5*m = -5*j - 340. Let l be m\/(-80) - 1\/2. Let a**2 + 0 - l*a = 0. Calculate a.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3.2232 and 0.3856?\nAnswer: 3.6088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -194*x**3 - 3*x - 3. Let v be h(-3). Let q = -3133 + v. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.074 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -593*n + 4076. What is l(7)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(170) - -4*sqrt(170) - sqrt(170)) + sqrt(170))*3 + sqrt(170) + sqrt(170) - sqrt(170))\/((3*sqrt(10) + sqrt(10))*6).\nAnswer: 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -98, -197, -302, -413, -530, -653, -782?\n\"Answer: -3*h**2 - 90*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 4*m + 2. Let h be z(-4). Let p be (-7)\/14 - (-5)\/h. Is 1 - (p + (-7 - -3)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13812 divided by 3453?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 31.012 from -18.\nAnswer: -49.012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 2, 49 in increasing order.\nAnswer: 2, 6, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75242?\nAnswer: 2, 17, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -609078 and 13.87.\nAnswer: -609064.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/19 in 62, 1.7, 2?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -9. What is the closest to -2 in b, 1\/2, 0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1985344 divided by 124084?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0608 - -0.0608323. Round f to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1430.97 - 1412. Let j = k - 19.9. Let v = 2.23 + j. Which is the nearest to -2\/7? (a) 0.3 (b) v (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1096444 - 62655. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -778 and 0.5.\nAnswer: -389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 31*j**5 + 26*j**5 + 38*j**5 + (0*j + j + 0*j)*(-2*j**2 + 0*j**2 + j**2)*(-2*j**2 + 3*j**2 + 2*j**2).\nAnswer: 92*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 143 - 252*v - 360 - 38 + 3*v**2.\nAnswer: 3*(v - 85)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 15, 835*d - 832*d = 3*u + 27 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 942 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (7 - 1)) + 4 + -2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-43 - -40 - 11) + 9 + -2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of 0*z**2 - 1\/35*z**5 - 7*z + 0 + 2\/21*z**3 - 1\/42*z**4 + 1\/105*z**6. What is x in k(x) = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1372 and 25088.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10244104 (base 5) in base 3?\nAnswer: -11102220012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*a**2 - 6*a + 6*a - 8*a**2 - 12*a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -66496*s**3 - 458*s**2 + 50282446*s wrt s.\nAnswer: -398976*s - 916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3492 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of -r**4\/6 + r**3\/2 + r**2. Let z be h(-9). What is the greatest common factor of z and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24\/152*(19 - (-342)\/(-19))\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4 + -6*((sqrt(180) - (sqrt(180) - (sqrt(180) + sqrt(180) + 1 - sqrt(180) - sqrt(180) - sqrt(180)))) + 2) + -2 + 4 + -4)**2.\nAnswer: -6736 + 1152*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 37.815835113307 and 0.3.\nAnswer: 38.115835113307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -99 divided by 437?\nAnswer: -99\/437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 27, 4 in decreasing order.\nAnswer: 27, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j - 3. Suppose -11 + 3 = 4*q. Let a(p) = 2*p - 6. Calculate q*a(t) + 5*r(t).\nAnswer: t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 4*v**2 - 2*v. Suppose 5*j - 5*t = -40, -5*j + t - 267 = -243. What is f(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 976903 + 0?\nAnswer: 976903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3*g = -4. Let q(z) = 6*z**2 + 2*z + 1. Let p be q(g). Suppose p = 3*s - 6. Solve -2*m - m = -s for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06158? (a) 0.3 (b) -3.23 (c) 4 (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 2:14 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lolo when four letters picked without replacement from tgloololol.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3131202656 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 7356?\nAnswer: 7356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-759)\/9504 - 3\/(-27). Let q = 3 - 2. Is q equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m. Let r(w) = 2*w - 3 + 0*w + 5. What is r(n(j))?\nAnswer: -4*j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3503 + -58?\nAnswer: 3445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14681 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*x**6 - 1420*x**3 + 6523*x**2.\nAnswer: -360*x**3 - 8520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 745544?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(6\/5)*q*q**(-2\/21))**(6\/23))**(1\/60))**(-47) assuming q is positive.\nAnswer: q**(-7661\/12075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (3 - 3) - (-47 + (27 - -26))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + w = 11, 0 = f + 4*w + w + 15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of n**6\/660 + 7*n**5\/165 + 35*n**4\/132 + 2*n**3\/3 - 808*n**2 - 2. Factor v(p).\nAnswer: 2*(p + 1)*(p + 2)*(p + 11)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 225500 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of x**5\/5 + 4*x**4 + 14*x**3\/3 - 8*x**2 - 15*x + 59. Suppose w(p) = 0. Calculate p.\nAnswer: -15, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = k + 6. Let i be (-4)\/k + 3224\/72. Suppose 0 = -3*u + u - 5*t + i, -2*t = 3*u - 51. Is u a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yrurryrvrvyylryvryr. What is prob of picking 1 v and 2 y?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 58396 a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and -254306766.0603.\nAnswer: -254306762.0603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 4*b = d + 24, 3*d = -2*b - 2. Suppose -b*l = -11 - 9. Suppose 4 = l*s - 12. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 11*f + 5*f. Suppose 0 = 2*v + v - 2*y - 66, 86 = f*v - 2*y. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 25*u - 135 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 242 = 248. Suppose 2*p = 2*c + 70, k*p - 2*c - 116 = -10. Calculate the lowest common multiple of p and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1096252992.\nAnswer: 2, 3, 197, 9661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 11:41 PM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 3*r**2 + 5*r + 2. Let n = -310 + 368. Suppose -17*d - n = 10. Calculate z(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -896*u**2. Let j(h) = 4*h. Determine x(j(k)).\nAnswer: -14336*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -33313 (base 5) in base 4?\nAnswer: -210131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1597, -3198, -4761, -6268, -7701, -9042?\n\"Answer: 3*u**3 + u**2 - 1625*u + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1668 and 811204.\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -3. Let u = 3.5 + -2.2. Let q = u - 0.3. Which is the nearest to q? (a) 2\/19 (b) k (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 + 70602.\nAnswer: 70561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from qufqfffi?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -624456 (base 9) in base 16?\nAnswer: -5a813","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 11, c: 2, y: 2}. Give prob of sequence uc.\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 543\/4 + -2647\/20. Find the common denominator of h and -9\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 1 + 0)*(0*l**4 - 5*l**4 + 3*l**4) to d*l**2 + g*l**3 + i*l + y + s*l**4 and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -41 + 5?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 50*i**2. Let c(l) = 2*l - 2477. Give c(y(a)).\nAnswer: 100*a**2 - 2477","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80417?\nAnswer: 29, 47, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 26 + 1 = -2*u, 38 = 3*u + k. Let q = u + -13. Solve -a + 0 - 3 = q for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of -29*l**6\/60 + 2*l**4\/3 + l**3\/6 + 10*l**2 + 2. What is the second derivative of o(j) wrt j?\nAnswer: -348*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-601)\/(-9) - 2\/(-9).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1993097 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: Let m = 21 + -103\/5. Let u(n) be the first derivative of 2 + 0*n + 0*n**3 - n**2 + m*n**5 + 0*n**4. Find the second derivative of u(a) wrt a.\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5230553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of 7\/6*h**3 - h**2 - 1\/2*h**4 + 1\/20*h**5 + 0 + h. What is the units digit of i(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -46, -6, -5, -3 in descending order.\nAnswer: -3, -5, -6, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s*s**(-19\/4))*s)**32\/(s\/(s*(s\/s**(-8)*s)\/s*s)*(s*s\/(s**(1\/7)*s))\/s*s*s))**(-2\/63) assuming s is positive.\nAnswer: s**(-2242\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51 + -158. Let g = w + 94. Which is the nearest to -1? (a) g (b) -4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j - j - 2*j**3 - 9 + 3*j**4 + 14*j**3 + 6*j**2 - 12*j.\nAnswer: 3*(j - 1)*(j + 1)**2*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.3 - -1.5. Let m = -170 + 1532\/9. Let j = 4 + -4.4. Which is the second biggest value? (a) y (b) j (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -456 - -603. Does 14 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 112 and 154?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 2110?\nAnswer: -2021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 50*j - 2. Let t(c) = -c. Calculate -h(z) - 6*t(z).\nAnswer: -44*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p - p - 2*p**4 + 2*p**2 + 4*p**4 - 5*p**3 + 6*p**3 in the form j*p**2 + g*p**3 + w*p**4 + u*p + n and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (-22 - (22 + -7 + -31))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of -58956\/5*i**2 - 51\/10*i**4 + 22 - 1734\/5*i**3 + 2*i - 3\/100*i**5. Factor j(g).\nAnswer: -3*(g + 34)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h**(-1\/5)*h*h))\/h**(-1))\/(h*h**(-2\/7)*h)**(1\/36))**(-1) assuming h is positive.\nAnswer: h**(-16\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, d: 6}. Give prob of sequence ddqd.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-30)*(-6)\/4\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**3)**(-44))**(-1\/9) assuming t is positive.\nAnswer: t**(-88\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -16*r**2 - 5*r. Let n(t) = 19*t**2. What is d(n(b))?\nAnswer: -5776*b**4 - 95*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v**5 + 6*v**5 - v**5 - 3*v**2 + 2*v**5 + 3*v**2 + (-3*v**4 - v**4 + 2*v**4)*(0 + 0 - v) - 19720425*v - 4431*v**5 + 19720425*v.\nAnswer: -4426*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 776, 775, 764, 737, 688, 611, 500, 349?\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11.7 + -1.42. Let c = r + -11.3. What is c rounded to 1 decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*m**2 - 13*m**2 + 0*m**2 + (-3*m - 2*m + 4*m)*(4*m - 4*m - m) + (2*m - 2*m - m)*(5*m + 13 + 2*m - 2*m).\nAnswer: -23*m**2 - 13*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1063 - -433?\nAnswer: 1526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + f - 3*f + 3)*(-3*f + 2*f**4 + 3*f).\nAnswer: -4*f**5 - 2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-30)*-221*(-1605)\/3638\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -h**6\/2 - 3*h**5 - 21*h**4\/4 + h**3 + 12*h**2 + 12*h - 21. Let i(b) = 0. What is b?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-741)\/(-76)*4\/3. Let g be c + ((-1)\/(-2))\/(2\/(-4)). Find the third derivative of 3*r**3 + g*r**4 + 89*r**2 - 73*r**2 - 3*r**3 wrt r.\nAnswer: 288*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.4727813 seconds in days?\nAnswer: 0.00015593496875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 2*a**3 + 0*a)*(1 + 1 + 4*a - a).\nAnswer: 6*a**4 + 4*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4240, -4613, -5610, -7537, -10700, -15405, -21958?\n\"Answer: -51*z**3 - 6*z**2 + 2*z - 4185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -103, -109, -115, -121?\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 692116176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -4*w**2 - 2*w + 56. Let y(c) = -c**3 - c**2 - c. What is 2*y(r) - z(r)?\nAnswer: -2*r**3 + 2*r**2 - 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*i - 22*i - 21*i - 7*i**3.\nAnswer: -7*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 2) + (1 - 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -7*f**3 + 3*f**2 + 4*f + 2. What is s(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -p**6\/200 + 2*p**5\/25 + 19*p**4\/40 + p**3 - 107*p**2 - 57. Let y(b) be the second derivative of j(b). Factor y(w).\nAnswer: -3*(w - 10)*(w + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z**4 + 1 + 2*z**4 - z**2 + z - 3*z**2 + 3*z**2 to the form v + u*z**2 + a*z**3 + p*z + r*z**4 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 82784?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3480643165 to the nearest integer?\nAnswer: 58997","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4852938203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -7. Let g = -2 + k. Let v be ((6 + -4)*(-3)\/(-6))\/(8\/(-16)). Is g less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 229 - 992\nAnswer: -763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from exexxxxxxexexe.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -982*d = -2*j - 977*d + 26, -2*j + 4*d = -22 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4866015579 to the nearest integer?\nAnswer: 1695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 4*b**2 + 2*b + 1. Let c be q(-3). Let x be (c\/(-10))\/(1\/5). Let w be -2 - (2*x - -2). Solve w*j = -y + j - 2, 2*y + 10 = -j for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -6146 (base 10) to base 14\nAnswer: -2350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -65, -7, -2, -2770 in descending order.\nAnswer: -2, -7, -65, -2770","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*z - 19679 - 7816. What are the prime factors of z?\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88759 is divided by 4336?\nAnswer: 2039","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 111, 116, 127, 144, 167, 196?\n\"Answer: 3*o**2 - 4*o + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 + 83\/4. Let x = 2.94 + 0.06. Is x > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -1. Let q(c) = -c - 1. Suppose 64*y = 62*y - 6. Give y*i(z) + 2*q(z).\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 534732772?\nAnswer: 2, 7, 2917, 6547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010010111 + 1011000011?\nAnswer: -1111010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 11\/(11\/(-2)) - -4*1. Suppose j + 11*w + 2 = 7*w, -5*w = h*j + 1. Sort 1\/2, 1, 0.1, j in ascending order.\nAnswer: 0.1, 1\/2, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 6 + -13 + 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201 + 11?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -184 + 187. Suppose -2*f - 1045 = 2*t - m*t, 3*t + 2*f - 3175 = 0. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 154 and 21756.\nAnswer: 239316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4979 - -17740. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 1111?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -1 - 2. Let a = 4 + y. Calculate the remainder when a is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**3 + 125*x**2 + 1262*x + 600 = 0. What is x?\nAnswer: -50, -12, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 89 + -61. Let g = 45 - o. What is the third derivative of 4*d**2 - d + 19*d**6 + 15*d**6 + g*d**6 wrt d?\nAnswer: 6120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 7*v**3 + 6*v**2 + 6*v + 10. Let a(x) = 15*x**3 + 13*x**2 + 13*x + 21. Let i(r) = -6*a(r) + 13*j(r). Differentiate i(k) with respect to k.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 551 + -638. Let u = 87.1 + f. Which is the closest to u? (a) 1\/7 (b) -0.2 (c) 2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.765533659 plus 0.01787?\nAnswer: -0.747663659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4487 = 1558*t + 28732 + 32217 for t.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-82*o**3 + 92*o**3 + 13*o - 7*o)*(3 - 3 + 3*o**2).\nAnswer: 30*o**5 + 18*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5333 (base 8) to base 3\nAnswer: 10210221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y - 16 = 8*y. Suppose d = -d - y. Let r = 3 + d. Is r less than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -18 (b) -60 (c) 0 (d) 577 (e) -3 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate l**2*y**2 + 9*l**2 - 99*l*y**4 + 51*l wrt y.\nAnswer: 2*l**2*y - 396*l*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*t - 5*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b + 7. Let q(h) = -12281*h - 9. Calculate q(n(c)).\nAnswer: 12281*c - 85976","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffnyyvfyfaffnafffff. Give prob of sequence aan.\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 3*v**2 + v - 1. Let a(s) = 2*s**2 - 7*s + 2. Calculate -a(n) - 2*q(n).\nAnswer: 2*n**3 - 8*n**2 + 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 11*a - 3*a**2 + 4*a**2 - 127 + 74 + 76. Give v(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of -13*l**3\/6 - l**2 - 13*l. Let m(b) = -65*b - 10. Let v(w) = 11*i(w) - 2*m(w). What is the first derivative of v(p) wrt p?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 699 + -427. Let q = y + -268. Solve d + 9 = q*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14668 times -0.14\nAnswer: 2053.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 1461 - 2661. Suppose -1378*u**2 - 222*u**4 + 18*u**5 - 494*u + 902*u**3 + 32 + m*u - 232 = 0. Calculate u.\nAnswer: 2\/3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**4 + 164*l**3 + 3194*l**2 - 6888*l + 3528.\nAnswer: 2*(l - 1)**2*(l + 42)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + sqrt(3))*2.\nAnswer: 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 3*o - 3, 4*t + 6*o = 5*o + 11. Let s(x) be the second derivative of x + 0 + 0*x**t - 1\/3*x**3. Let r(y) = y. Give r(s(p)).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -95.7 - -121. Let o = -225 - -200. Let j = d + o. Which is the smallest value? (a) j (b) 2\/13 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 20 = -3*g. Suppose 5*c + 0*t - 7065 = -5*t, 3*t = -g*c + 7059. Let d = c - 289. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 8*y**2 + 6*y - 5. Let o be g(6). Let d = o - -59. Calculate the smallest common multiple of 15 + -1*(-30)\/(-6) and d.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, l: 3, q: 3}. What is prob of sequence qql?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -13. Suppose -p + 9924 = f*p. Suppose -p - 2530 = -6*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 42*j.\nAnswer: -42*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + 9*h + 2. Let x be z(7). Let u(r) = 38*r + 4. Let n be u(2). Calculate the highest common factor of x and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3045 and 11480?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/sqrt(343) - (sqrt(44) + sqrt(11))*-3.\nAnswer: 64*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 6*k - 6. Let m be u(-4). Suppose -5*i - m*l + 429 = 0, 330 = 4*i - 4*l - l. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -285 + 27 = 6*n. Let y = 38 + n. Let h = 4.3 - 5.3. What is the third biggest value in y, h, -3\/5, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that r**4\/2 - 56539*r**3 + 282686*r**2 - 395757*r + 339219\/2 = 0.\nAnswer: 1, 3, 113073","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70.5 + 63012794.\nAnswer: 63012723.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 37*s**4 + 4*s**2 + 92. Let l(y) = -y**4 + y**2 - 1. Let t(a) = 4*l(a) - w(a). What is the first derivative of t(j) wrt j?\nAnswer: -164*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 3:15 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 61, 217, 471, 817, 1249?\n\"Answer: -v**3 + 55*v**2 - 2*v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/72 and 1\/342.\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, 5, 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of 13*k**3 + 141*k**2\/2 - 13. Find the second derivative of c(m) wrt m.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(162)\/sqrt(6)*6*-5.\nAnswer: -90*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -377*o + 2*k + 528 = -372*o, -3*k + 126 = o. Suppose m - 114 = -m - 3*y, -2 = -y. What is the highest common divisor of m and o?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, w: 1, i: 1, e: 1, g: 1, o: 1}. What is prob of sequence ig?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1085682009?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of 6*t**6 + 0*t - 8*t**4 - 16\/3*t**3 - 3 + 0*t**2 + 12\/5*t**5. Factor c(x).\nAnswer: 4*x**2*(x - 1)*(3*x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1019 and 131.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/2)\/((-10)\/2*(-14)\/(-70))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1.4 * -430\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4828780 by -1868.\nAnswer: 2585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 1. Let c be v(1). Suppose -4*k + c*w + 36 = -4*w, 3*k + 2*w = 22. Does 5 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 26 = 5*x, -j - 11891 = -x - 11889 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 6*h**2 - 8*h - 5. Let f be k(-7). Let a = -3 - -9. Let s = a - 4. Solve f*i + 4 = -s for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21994?\nAnswer: 2, 7, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*g**3 + 64*g**2 + 11*g**2 + 10*g**2 - 95*g**2 + 10*g**2.\nAnswer: -91*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4346 - 4331 = -5*h, 2*u + 12 = -4*h for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 13, 3, -5, -124.\nAnswer: -124, -5, -2, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -22260, -44518, -66776?\n\"Answer: -22258*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*x\/x**(1\/17)*x)\/((x**(-47)*x*x*x)\/x))**(-21))**46)**(-47) assuming x is positive.\nAnswer: x**(37002630\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 466462817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 380 - 349. Let a(h) = -22*h + i*h + 6*h - 2*h. Let x(z) = -z. Determine x(a(y)).\nAnswer: -13*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 71*b**3*u**2*y - 6*b**3*u + b**3*y - 2*b*u**2*y - 9*u**2 + u*y - 2*u + 7 wrt u?\nAnswer: 142*b**3*y - 4*b*y - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 200 and 390840?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 8*p**2. Let n be 10\/(-12) - (23 - (49 + -25)). Let j(y) be the second derivative of -22*y + 0*y**3 + 0*y**2 + n*y**4 + 0. Determine i(j(q)).\nAnswer: 32*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36276193?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 90 = -3*l - 75, 6 = -24*l + 5*v for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + 4 - -1) + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = -44*z + 57*z. Let f(m) = -m - 1. Let b(w) = -6*w**2 + 8*w + 4. Give z*f(x) + b(x).\nAnswer: -6*x**2 + 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*m + 1098 = 0, -146*j + 141*j - 3*m + 1367 = 0. Is j a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 60 - 58. Solve w + 12 = -s*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -1\/6*b**3 + 6 + 0*b**2 + 1\/16*b**4 + 0*b. Solve c(d) = 0 for d.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-4) + (-306)\/72. Let w be (-12)\/8*g\/3. Suppose -w*b = -3*b + 2. What is the least common multiple of 3 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 1)*(0 + 6). Let m be (2\/(-3))\/(4\/(-30)). Let n = m - w. Is 2\/5 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3912514873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5916, -5920, -5924, -5928?\n\"Answer: -4*s - 5912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -44*g + 39*g + 12*d - 25, 4*d - 30 = 6*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*-2*3\/6. Suppose -4*o + 2*r - 1 - 21 = 0, -3*o + 16 = 5*r. Sort 2, o, -5, t in increasing order.\nAnswer: -5, o, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - 4\/(-364)*555. Let d = s + -5\/182. Let l = -1041\/266 + d. Do l and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (1 + (-1 - (2 - 0)))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 7*v + 4664 = 0. Let y = -368 + v. What is the lowest common multiple of y and 48?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + x + 15 = 0, -v + 3*x - 2*x + 10 = 0. Suppose 3*t = 2*q, -5*q + 0*q = 3*t. Solve q = -h - 0*h - v for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = q - 48054, 2*q + 83375 = 5*t + 23301. What is the thousands digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 5 (b) -1\/5 (c) 1 (d) -115 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -85\/66 - 1\/22. Let h = -2494.3 + 2353. Let u = 141 + h. What is the second biggest value in i, -4, u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k. Let o be m(-3). Let r be (o\/(-45))\/((-2)\/6). Is 1 <= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 6:16 AM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.82 times 3?\nAnswer: -8.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of -m**6\/20 + 8*m**5\/15 - 5*m**4\/12 + 12*m**2. Factor b(a).\nAnswer: -2*a*(a - 5)*(3*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + 9)*8*4\/(-28)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 376471?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.760601 grams in nanograms?\nAnswer: 3760601000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b**2*o**2 - 164*b*m*o - 2*b*o**3 + 13*m*o + 2*o**3 with respect to b.\nAnswer: -4*b*o**2 - 164*m*o - 2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 638953583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7429 is divided by 174.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 92965.921 rounded to the nearest one thousand?\nAnswer: 93000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.03 from -80950729.\nAnswer: -80950728.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**3 + 3*o - 3*o)*(-1 + 2 + 13*o - 2).\nAnswer: 26*o**4 - 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 293 - 260?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, u: 2, b: 2, i: 1}. Give prob of picking 1 i, 2 f, and 1 b.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 92*o - 661. Let n be m(-8). Let f(i) be the first derivative of n - 35*i + 0*i**2 + 7\/3*i**3. Differentiate f(w) with respect to w.\nAnswer: 14*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.5, 14, -2\/101101, -3, -6, -2\/5?\nAnswer: -2\/101101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9536*i - 2087*i - 1132174 + 144219 = 0 for i.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/3*12\/(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 332144 divided by 166072\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 4 - 5 + 358370*h + 6 - 358364*h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -3720*d + 8*d**2 + 6 + 5*d**2 + 3722*d - d**2. Let y be 3\/((-3)\/4) - -1. Let c be n(y). Calculate the greatest common divisor of 27 and c.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5508\/107 and 52 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.06 and 202.\nAnswer: 12.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 140 - 137. Which is the closest to 0? (a) w (b) 2\/17 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -6*n**2 + 19*n + 175. What is y(7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*g + 90 = -72 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 6*u - u = 20, 4*u = -3*f + 15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3163698 (base 12) to base 14.\nAnswer: 1350b88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1102331333 (base 4) in base 7?\nAnswer: -2613533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*r - 168 = -18*r + 14*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29548, -58503, -87458?\nAnswer: -116413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y**4 + 95*y**3 + 450*y**2 + 820*y + 520 = 0 for y.\nAnswer: -13, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 919, 1841, 2763, 3685, 4607?\n\"Answer: 922*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5291663059?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/1*(38\/42 + 32\/336).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 58069 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 564, 505, 410, 279?\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4025, -0.4, -3517, -1\/6?\nAnswer: 4025","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18458 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1798, -3940, -6442, -9310, -12550?\n\"Answer: -p**3 - 174*p**2 - 1613*p - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -66*k - 2. Suppose -14*f + 5 = -19*f. What are the prime factors of y(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 5*m = 0, m = j - 5*m - 0*m. Is j smaller than -26\/1275?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(726)*2 - sqrt(726)) + sqrt(726))*5)\/(1*-2*sqrt(162)*-2).\nAnswer: 275*sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.8 (b) 80 (c) -105 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5934943 - -3?\nAnswer: 5934946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**2 + 1 - 4 - n**2 + 4*n - 6*n. Calculate l(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**3\/2 - 11*q**2 - 38*q - 36 = 0.\nAnswer: -18, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b - -6?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -18.8, -1\/8, 5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2368 + 2416. Calculate the greatest common factor of 16584 and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 - 31. Sort f, -5, 0 in increasing order.\nAnswer: -5, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8890 (base 14) in base 3?\nAnswer: -1012102210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 9 + 9 = -d, -3*p = -2*d - 57. Suppose -16*a - 175 = -p*a. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -4*h**4 - 1069116*h**3 + 4276512*h**2 - 4276528*h = 0.\nAnswer: -267283, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-10\/9)\/(b*((b**17\/b)\/b)\/b*b))**(-4\/25) assuming b is positive.\nAnswer: b**(616\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 5*s - 7 + 1, -5*u = -4*s - 27. Let h = -0.2 - -0.3. Which is the closest to -5\/2? (a) 1 (b) h (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2733.18209243 + -2749.515117. Let x = -299.33299477 - h. Let s = -283 - x. Round s to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 761*x + 32*x + 364*x - 2 + 7.\nAnswer: 1157*x + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 92, 88, 82, 74, 64, 52?\n\"Answer: -b**2 - b + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -9*v + 12. Let d(t) = 8*t + 7. List the prime factors of d(v).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 5 + 4*a - 5. Let v be z(-5). Suppose 5*p + m - 3*m - 15 = 0, -v*m = -2*p - 15. Put -2, -3, p in descending order.\nAnswer: p, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**5 + 15*l**4 + 6*l**3 - 60*l**2 - 72*l.\nAnswer: 3*l*(l - 2)*(l + 2)**2*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -282*a**2 + 9*a + 9. Let x(w) = 143*w**2 - 4*w - 4. What is 9*x(d) + 4*z(d)?\nAnswer: 159*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 (base 11) in base 15?\nAnswer: -1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - -2)\/((-2)\/6). Suppose -35*g - 8 + 358 = 0. Calculate the lowest common multiple of g and (88\/6)\/((-4)\/j).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 90 - 91. Is 14*70\/12 - m\/3 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 358 - 2 = 0. Let z = s - -721. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/3))**(5\/13)\/(d**(3\/8)*d*d*d*d\/((d\/(d*(d**(2\/7)\/d*d)\/d))\/d)*d) assuming d is positive.\nAnswer: d**(-12643\/2184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5084 - 5066. Calculate the highest common factor of z and 5436.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 7:54 AM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/94960 and 43\/9460390?\nAnswer: 75683120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 12*n**2 + 13*n - 18. Let q be d(11). Let i(j) = -20*j - 17. Let t(c) = 7*c + 6. Let y(b) = -3*i(b) - 8*t(b). What is y(q)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 18 + 70. Let m = j - -45. Let n be ((-19)\/(-23) - m)\/2. Which is greater: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 14*r - 6 = 99 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**4 + 780226*b**3 - 2575437*b**2 - b + 2 wrt b?\nAnswer: 24*b + 4681356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15986 is divided by 516.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 1 = -5*a, 0 = -5*a + 6*q - 11*q - 35 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2211201 - -1201?\nAnswer: 2220102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20227*l**2*r**2 - l**2*r - 985*l**2 - l*r wrt r.\nAnswer: 40454*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of 3*b**2\/2 + 1. Let v(g) be the third derivative of -g**4\/12 - 5502*g**2. Determine -4*m(c) - 3*v(c).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3196 + 0.319602124. What is h rounded to 7 decimal places?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.082981 to 1 decimal place.\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30337 (base 11) to base 9.\nAnswer: 66721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**3 + 480*v**2 + 19008*v + 247808.\nAnswer: 4*(v + 32)*(v + 44)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 p when four letters picked without replacement from {j: 6, p: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - t = 14, r + 0*r - 6 = -5*t. Let n = r - -16. Let p be (((-1)\/(-1))\/(-1))\/(-1). Sort p, n, 2 in increasing order.\nAnswer: n, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(1\/(1\/(-1)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6581185\/462 - -14245. Find the common denominator of n and -123\/10.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*3\/1 + (-9)\/45. Let a = 3\/274 + 539\/822. Factor u*x - 10\/3*x**3 + 6\/5 - a*x**2.\nAnswer: -2*(x - 1)*(5*x + 3)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -355?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 360 = -4*m + u, 3*m - 3*u + 294 = 0. Let t = -83 - m. Is 9 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12267.\nAnswer: 3, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3276320?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is 15 + (-16 - 81) - -31?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*v - 26818 = -251*v - 114*v for v.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.64296275 rounded to four decimal places?\nAnswer: 0.643","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of b**4\/4 - 4*b**3\/3 + 2*b**2 - 2*b + 21. Calculate n(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d - 9. Let y be b(9). Suppose 2*n + 1 - 3 = y. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37 + -66 + -41 + 34\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b - 7*b. Solve 0*d + 2*d = b for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -10*u**2 - 9*u. Let h(s) = 4*s**2. Determine v(h(w)).\nAnswer: -160*w**4 - 36*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5673531, -11347058, -17020585, -22694112, -28367639?\n\"Answer: -5673527*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 215 divided by 68\nAnswer: 215\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*l**2 - 9*l**2 - 2505*l**3 + 2*l**2 - l**2 + 3*l.\nAnswer: -2505*l**3 + 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 7*s**2. Let c(u) = u**2 - u. Let v(t) = 4*c(t) - x(t). Let n(m) be the first derivative of 4*m**3\/3 + 5*m**2\/2 - 1. Determine 4*n(q) + 5*v(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 8, 11906, -3, 0, 4 in ascending order.\nAnswer: -3, 0, 1, 4, 8, 11906","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -6 - (45 - (43 - -5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 - -3 - (-4 + 4) is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/7)\/(-1 - (-1 + (-10)\/(-210))). Solve 0 = -3*c + 3*l + 3, 3*l + p = 2*c + 2*l for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142535365 to the power of 1\/5, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 521 = 2*b, 0 = w + 2*w + 4*b + 323. What is the tens digit of (32\/(-12))\/(10\/w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 2*h - 11 = 0, -3*h - 4 = 4*b + 2 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4252 + u**3 + 4252 + 0*u**2 + 0*u**2.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zo when two letters picked without replacement from {e: 2, z: 4, o: 9, w: 1}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-6))\/((-65)\/780).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15611899.25 less than -4.9?\nAnswer: 15611894.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*k**3*z - 1229*k**3 - 64*k**2*z + 2*k**2 + 6065238*k*z - 7*z wrt k?\nAnswer: 36*k*z - 7374*k - 128*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 6*a + 13. Calculate u(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7334 is divided by 3651?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - v**2 - v + 6. Let g be y(0). Suppose 0 = -g*b + 2*b. Suppose b = -2*n - 8, -z = -5*n - 0 - 36. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/9, 27\/5, 97, -1\/94?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2 is divided by 32\/(-24)*3\/(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4*b**3 + 58*b**2 + 28*b - 658. What is v(-13)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 995 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**0*v)*v**(-3)*(v\/(v\/(v*v**2\/v)))\/(v*(v**8\/v*v)\/v*v*v))\/((v*(v*v\/(v**(-4\/5)\/v))\/v)\/(v*v**(2\/9)))**(-1\/34) assuming v is positive.\nAnswer: v**(-9122\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/7 - (-108)\/14. Let t be 1\/((-7)\/42)*47\/(-2). Let j be -2*3*t\/(-282). Solve j*w = -2*u + 11, -2*w - w + b = -u for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2.172 (b) -0.1 (c) -2 (d) 2\/3 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3739636357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n. Let g(x) = -2*x**2 - 14*x + 6. Let o(l) = -2*l**2 - 13*l + 5. Let p(u) = -5*g(u) + 6*o(u). Give p(c(s)).\nAnswer: -8*s**2 + 16*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -569*y**2 - 577*y**2 + 1728*y**2 - 573*y**2.\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 127503*u - 83096 wrt u.\nAnswer: 127503","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19182 - -226876?\nAnswer: 246058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 3. Let s be u\/5*(-1 - 9). Suppose -5 = x + 2*m + m, x - s*m = 23. Solve 4*p + 19 = x for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 2, 9, 30, 71?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -1) + 4 + 52 + -42.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9544 + -9467. Which is bigger: -3 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 169174290.5 rounded to the nearest one million?\nAnswer: 169000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1389 + 1399. What is the smallest common multiple of a and 52?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 57*c + 12. Let b be s(6). Suppose b = 4*o - 30. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (759\/(-230))\/((-18)\/(-120))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 4:06 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 240678443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, i: 7}. Give prob of sequence jiii.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30563 + 2200631\/72. Find the common denominator of u and (-790)\/4*489\/(-19560).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7007 and 520597?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 16, -2*l = -2*b - l - 56. Let d = b + 38. Does 4 divide d\/30*70\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10734890 a multiple of 1285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -187 or -54513\/293?\nAnswer: -54513\/293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1*-1)\/((-13)\/(-26)))\/4.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*w + 287 = -23*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 16 = 4*n, -4*y + n + 0*n = -23. What are the prime factors of ((-27)\/(-12))\/(y\/80)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(-27)*(-2)\/(-4). Let q(d) = -3*d - 1. Let t be q(-1). Suppose -t*a - 3*a + 95 = g. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22214600*c**2*j**2 - c**2 - 1154*c*j - c - 34*j wrt j.\nAnswer: 44429200*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -230, -233, -236, -239?\nAnswer: -242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5584 - -5630. Solve -43*t = -v*t + 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.15 - -3.85. Let v = 0.44 + 0.56. What is the third smallest value in r, -1\/8, v?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*c - 8*c + 3*c)*(4*c - c - c) - c**2 + 2*c**2 - 3*c**2.\nAnswer: -28*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1446*27.9.\nAnswer: 40343.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-520)\/(-65) - (0 + -2 + 1). Solve -u*a + 62 - 8 = 0 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkkwkkkkkkk. What is prob of picking 2 w?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 105 - 105. What is the remainder when 3 + -5 + y - -34 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -799602?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2891, -2882, -2873, -2864, -2855?\nAnswer: -2846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6586.682 rounded to the nearest integer?\nAnswer: -6587","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 835\/2, 8\/7, 1\/2, 5?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, z: 8}. What is prob of sequence ww?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14942315 - 7001880. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + m + 48. Let b = -4 - m. Suppose -3*d + 6 + 0 = -3*t, 4*d - b = 5*t. Is t less than -4\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18\/402*(308\/30 - 1). Let w = y - 1\/67. Which is the closest to w? (a) 4 (b) 3\/4 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -294973529 - -2?\nAnswer: -294973527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 1 = 3. Suppose -3*m = 4*q + 19, 2*q + 1 = 3*m - d. Let u = 3 - -1. Which is the biggest value? (a) -0.3 (b) q (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 300.777 - 301. What is h rounded to 2 decimal places?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8404515 to the nearest integer?\nAnswer: 2899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 625?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from upuczupuzc. What is prob of picking 1 c and 2 p?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (552\/(-3312))\/(66\/108).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 10*r**2 + 2*r + 1. Let l be p(-1). Let u(x) = x**3 - 3*x**2 - 17*x + 35. Let k be u(5). Suppose 10*v - l*v - 99 = k. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*u + 3*u - 2*u)*(-4*u + 2*u + 4*u)*(32 + 33 - 21) in the form t + d*u**2 + n*u and give d.\nAnswer: -352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (2 - (9 + 2)) + 8 - 11\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + n + 7. Let f be g(0). Let m(w) = -w**2 + 37. Let q be m(0). Let j = -22 + q. Solve 2*o - j = f*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5399491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4769*d + 796*d + 793*d + 796*d + 796*d + 814*d + 793*d.\nAnswer: 19*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 15) in base 2?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/11, -0.001, -10 in ascending order.\nAnswer: -10, -3\/11, -0.001","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.0070778 litres?\nAnswer: 7.0778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -14323422 (base 5) to base 13\nAnswer: -540b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -20*a + 5. Calculate the smallest common multiple of 3 and p(-2).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 6 = -3*i. Let y be ((-1)\/i + 1)\/(-2). Let x = -0.04 - -0.34. Which is smaller: y or x?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 843 (base 9) to base 16.\nAnswer: 2af","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1451 - 2078 = 33*a for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*g + 5*p - 483 = -31*g, p - 1173 = -5*g. Suppose -2*r + 3*k + g = -r, 0 = -2*r - 2*k + 460. Is r a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m + 463 = -321. What is the lowest common multiple of 8 and m?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**4 + z**4 - 4*z**4)*(-1 - 1 + 1) + z - z**4 - z - 11*z**4 + 42 - 42.\nAnswer: -10*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 116336*f**3 - 129594*f wrt f.\nAnswer: 698016*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 1 + 5 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -6*y**2 + 4*y + 40. Let h(b) = 7*b**2 - 5*b - 38. Give 5*d(g) + 4*h(g).\nAnswer: -2*g**2 + 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124 - (-22 + (-16 - -19) - -42 - 18).\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.829 + 0.171. Sort -6, 2, 2\/15, r.\nAnswer: -6, 2\/15, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 636 at least 73216\/115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 616 + -616. Solve 2*h + 2*r + 10 + 6 = z, -16 = h + 3*r for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u**4 - 70*u**3 - 265*u**2 - 380*u - 180 = 0.\nAnswer: -9, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2082870 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(10)\/sqrt(5) + sqrt(2) + -1*sqrt(2) + 0)**2*5.\nAnswer: -40*sqrt(2) + 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*a = 3*z - 53*a - 12, 3*z - 9 = -4*a for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*b = 1829256 + 3921594. Round b to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 1) + -15 + 20 + -13.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 3107899956.\nAnswer: -3107899954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 10 + 39)*(22*k - 33*k + 20*k) + 1 + 3*k - 1 - 3*k + 0*k + 2*k to m + z*k and give z.\nAnswer: 326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -50b (base 15) in base 9?\nAnswer: -1502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 94 - 90. Let d(k) = -2*k - 5. Let q(s) = -5*s + 16. Let i(l) = -7*l + 20. Let u(x) = 3*i(x) - 4*q(x). Calculate r*u(h) - 3*d(h).\nAnswer: 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4423 - 11162777276.9.\nAnswer: -11162772853.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 98926513 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*p**3 + 4*p - 4*p + 5795*p**3.\nAnswer: 5917*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -281*s**3 - 44*s**2 + s. Let x(i) = 282*i**3 + 33*i**2. Give 3*o(w) + 4*x(w).\nAnswer: 285*w**3 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16*10\/40 - (-616)\/2?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - 14. Let y be 8\/(-3)*m\/(-4). Suppose -a - 2*n = -4, -n + 0 + y = a. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 9 = -6. Solve 2*n + 11 - p = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 + 0\/(-2) + (128\/(-8) - (-5 + -22))?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24*j**4*l + 1147*j*l**2 + 1765*l**2 - l - 15 wrt j.\nAnswer: -96*j**3*l + 1147*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(21\/(-56)*1). What is the greatest common divisor of g and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1654.\nAnswer: 2, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + 20*j - 62. Let d be f(3). Suppose -208 = d*b - 1657. Does 9 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2 - (8 - 4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9462*p + 21422*p - 918*p.\nAnswer: 29966*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1913, -3765, -5613, -7457, -9297, -11133?\n\"Answer: 2*c**2 - 1858*c - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1103406?\nAnswer: 2, 3, 19, 9679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 1011551?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7.973, 8, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + -8 + 1\/(-1). Let l be -2*-6*t\/8. Let b = l - -15. Solve 0 = -2*j + b*j - 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8905?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -956 - -968. Let c be (w + 195\/(-10))*4\/(-3). Solve -v = c - 7 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/3)*c\/(c\/(c\/c**8)*c))\/(c\/((c*c**2*c)\/c))**(-9)*(c**(-1\/4))**(-11)\/((c**(-3\/4)\/c)\/(c*c*(c**3\/c*c)\/c*c*c)) assuming c is positive.\nAnswer: c**(-89\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 5*f**2 - 5*f - 1. Let g be h(6). Let a = g + 0. Suppose -13 = -2*t - a. Let z(o) = o**3 - 4*o**2 + o. What is z(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, -7, 5\/3, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 2*s - 8 = 0, 0 = 5*a + 57*s - 62*s + 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-62 - -72) + (-44)\/2\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 0, 11, 36, 81, 152, 255, 396, 581?\n\"Answer: u**3 + u**2 + u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g - 5. Let w be (2\/(-6))\/((-1)\/69). Suppose w + 9 = 4*l. Let t = l + -3. Determine j(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3369\/(-225) - (-1252 + 1237).\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 139.4, 2\/7, -4 in increasing order.\nAnswer: -4, 0, 2\/7, 139.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 5*z + 0 = 6, 2*q + 2*z = -8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29\/2 - -57\/4. Let g = -32.7 + 82.7. Let u = g + -50.5. Sort 7, u, -2, f.\nAnswer: -2, u, f, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/(-12) - 15\/9 and -93\/196.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, b: 1, a: 1, n: 1, x: 1, y: 1}. What is prob of picking 1 n and 2 j?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 681 and 4013814?\nAnswer: 681","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4040732192.\nAnswer: 2, 7, 149, 121067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 - -0.3. Let n = g - 1. Let d = -22 + 18. Which is the biggest value? (a) n (b) -0.2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1144412 + 0.4832.\nAnswer: 0.3687588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -3*c + 2 + 4, -l - 21*c + 113 = c for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-two thirds of a century?\nAnswer: 20800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x**2 + 5*x**2 + 2*x**2 + (6*x - 4*x + 3*x)*(3 - 3 - 5*x).\nAnswer: -22*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283 is divided by 70?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of b**6\/40 + 33*b**5\/20 + 4*b**4 + 3077*b**2. Factor d(w).\nAnswer: 3*w*(w + 1)*(w + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*f - c, 0 = -0*c - 5*c + 25. Let y(o) = -o + 3*o**2 - 2*o**2 - 7*o**2 - 2 + 28*o**3 + 4*o**f. List the prime factors of y(2).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 232*g*o + 3*g*y**3 - 5*o*y**3 + 472*y**3 wrt g.\nAnswer: 232*o + 3*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w + 5*w + 1305. Find the common denominator of -127\/6 and (-4)\/10 + w\/(-15).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319064558 is divided by 24269?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 1025 - 105. Suppose -3*k = -2*b - 29 + 134, 5*b = k + c. Suppose 2*w - b = -9. Is 13 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*i + 20 = 70*i - 31*i. Let l(d) = 0*d + 3*d - d. Let x be l(2). Solve 3*m - x = i for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 6 = -3*q. Let x be 0\/(0 + -2) - q. Suppose 0*p = -x*p + 28. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-265)\/(-20) - (-41 + (20 - -34)). Let z = 37 + 22. What is the nearest to 2\/3 in -1, d, z?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -154 - -148. Let b(k) = 3*k + 9. What is b(z)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = -4*r + 44268, g + 3*r - 6*r - 7378 = 0. What are the prime factors of g?\nAnswer: 2, 7, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 1 - (-45 - -66 - -3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3964*t**2 - t**3 + 7673*t**2 - 3727*t**2.\nAnswer: -t**3 - 18*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 147 - 137. Calculate the remainder when 422 is divided by j.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-18) + (-3304)\/(-36). Is (d\/(-10))\/(6\/(-15)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 648.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4399\/2324 + (27\/12)\/9?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -5*j + j + j + 4*j. Let a be d(-4). Put 3, a, -1 in decreasing order.\nAnswer: 3, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*z = 58*z - 48. Let y be 3300\/418 + (0 - z\/(-38)). Solve -42 = -y*x + 22*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*n = 58*n + 165 + 120 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3, -3, -1\/72?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 5*l**2 + 9*l - 9. Let q be i(-7). What is the greatest common factor of q and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*j**3 + 230812*j**2 - 79312557*j wrt j?\nAnswer: -30*j + 461624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -2*w + 40. Suppose -4*g + 6 = 3*v - g, -3*v = -g - 6. Let u(i) = 0*i**2 + 2*i**v + 34*i - 31*i + 2. Determine u(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198222.\nAnswer: 2, 3, 33037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/3241691 != 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68243?\nAnswer: 7, 9749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 4 = 3*y, -p = 39*y - 38*y - 4. Let r(l) = 423*l**3 - 4*l**2 + l + 2. What are the prime factors of r(p)?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 - 5*r + 10. Let k be j(-7). Let y(m) = m**3 + 4*m**2 + 5. Let b be y(-4). Let p be (-6 - -7)\/((-1)\/b). Which is bigger: p or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (14 + 0 + (-112 - -89))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q. Let u be v(-4). Suppose -4*m = -2*z + 2, -5*m = 2*z + z - 14. Suppose -z*n - 2 = -3*b + u, -b = -5. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.226 rounded to 1 dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, -41, 1, -10 in increasing order.\nAnswer: -41, -10, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7331\/2 + -3664. Suppose 3\/8*r**3 + 3\/8*r**4 - 9\/4*r**2 + 3 - a*r = 0. Calculate r.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -75*f + 5. What is the tens digit of w(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 434 and 462.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 628687 is divided by 6163.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*y - 3*b + 4*b, y + 3*b = -4. Let j be (-17)\/y - (-2)\/(-8). Let x = -4\/7 + 23\/28. What is the smallest value in x, 2\/17, j?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94717839.\nAnswer: 3, 109, 289657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*v - 260*v**3 - 21*v + 31*v.\nAnswer: -260*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58925 is divided by 7226.\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13.03 - 13. Sort -1, d, -0.1.\nAnswer: -1, -0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*j**4 - j**4 - 3*j**4)*(6 - 4 - 3) + (1 + 12 - 3)*(0*j**4 + 2*j**4 - 3*j**4) as h*j**3 + y*j**2 + u*j**4 + x*j + a and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 + 1.9. Which is the fourth smallest value? (a) f (b) -1 (c) 0.2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 558 and 960815.\nAnswer: 961373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1223?\nAnswer: 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1117*j + 271*j**3 + 1117*j.\nAnswer: 271*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 483036.\nAnswer: 2, 3, 40253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/3)\/((a*((a*a\/(a**(-3\/2)\/a*a))\/a)\/a)\/a))\/(a**1)**(-2\/25))**(-4\/15) assuming a is positive.\nAnswer: a**(226\/1125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8801559 to the nearest integer?\nAnswer: 2967","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - 5*m**2 + m + 8. Let q be u(-5). Let k(f) = -60*f - 750. Let b be k(-13). Solve b = q*i + 36 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-374)\/420 - (423\/(-567) - (-10)\/(-10 - 80))?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 43 = -2*l, -l - y = -0*l - 21. Let f be (-10 + l + -10)\/(2*1). Solve -5*h + 35 = -5*u, 0 = -2*h - u - 2*u - f for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 19 = -9*u + 5*j, j = 4*u - 3. Let p(l) = -2*l**2 + 3*l - 3. Give p(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1339 - -1346. Sort -6\/11, b, -0.1 in decreasing order.\nAnswer: b, -0.1, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6, w: 1, u: 3, x: 3, c: 1, r: 3}. Give prob of sequence zzcx.\nAnswer: 3\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-2))\/(1134\/(-72))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 97\/266 - 3\/38. Let o = -2 + 2.3. What is the nearest to -0.1 in o, d, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.97 + 12.76. What is g rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15250302\/73 or -208907?\nAnswer: -208907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1737*k**2 - 32140*k**3 + 32149*k**3 + 1734*k**2.\nAnswer: 9*k**3 - 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23333366 = -38*b - b - 3431003. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/744 and 169\/279930?\nAnswer: 1119720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from npznzpnwznznwpn. What is prob of sequence pzn?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1685 minus 2125370?\nAnswer: -2127055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -11839506 divided by -6\nAnswer: 1973251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 660.014 - 660. Round g to 4 dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17398?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*9*3\/(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((((-143)\/(-2))\/(-13))\/(-9))\/((-60)\/240).\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 259409 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/44 + 6\/(-33))\/2. Let y = 176.6 - 176.4. Which is the fourth biggest value? (a) n (b) 0.11 (c) -0.1 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1484 divided by 47437\nAnswer: -1484\/47437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31700, 63536, 95360, 127166, 158948, 190700, 222416, 254090?\nAnswer: 285716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*m**5 - 6998*m - 32*m**3 + 3768*m + 533*m**3 + 611*m wrt m.\nAnswer: 60*m**3 + 3006*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46521?\nAnswer: 3, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/5661 and -35\/459?\nAnswer: 16983","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.39 - -68.39. Let t = m - 33. Let q = t - 36. Which is greater: q or 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r + 33. Let t(k) = k**2 - k - 13. Let z be t(-4). Suppose z*g + 46 = -31. Let f be w(g). Solve 3*y + 1 - 10 = f for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 360 = 7*f. Solve 4*l + f = -3*o, 4*l = -5*o + 14 - 46 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 29 = -3*c, 6 = 4*c + 3*q + 33. Suppose -2*j = -6, -2*g + 6 = -5*j + 21. Sort g, 5, c.\nAnswer: c, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(200) - (sqrt(200)*-2 + 4) - sqrt(200)) + -3)*2 + 5 + 0 + -1.\nAnswer: -120*sqrt(2) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**2 - 5*j - j**3 - 5 + 14*j - 7*j - 4*j**2. Give g(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 255227?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h - 9 + 44 = 0. Suppose h*z - 9503 = -8*z. Calculate the greatest common divisor of 17 and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 28*k**2 + 28*k + 52. What is the remainder when 149 is divided by t(-27)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 598 divided by -9.\nAnswer: -598\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**2 + 4*n + 4. What is the units digit of m(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 1834\nAnswer: -1833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of 177*z**5\/5 + 781*z**2 + 717. What is the second derivative of j(g) wrt g?\nAnswer: 2124*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64912.71 rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6354?\nAnswer: 2, 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 0*c = -4*n - 38, -1500*n - 6733*c - 11998 = -6734*c for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1318 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 58\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110637 is divided by 8510.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -769.99587 - -770. Round r to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**5 + 4*k**5 - 2*k**5 - 25*k**5 + 13*k**5 - 8*k**5 + (0*k**4 - 4*k**4 + 3*k**4)*(-2 + 4*k + 2).\nAnswer: -23*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**3 - 20*a**2 + 38*a - 89. List the prime factors of u(13).\nAnswer: 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - -2. Let m(w) be the third derivative of 0 - w**2 - 1\/120*w**5 + 0*w**3 + 1\/240*w**6 + 0*w + 0*w**p. Determine y so that m(y) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 534752936 to the power of 1\/2, to the nearest integer?\nAnswer: 23125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) 5 (b) -1 (c) 2 (d) 0.21 (e) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -1367?\nAnswer: -1\/1367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*l - 12. Let z(s) = 29*s + 4. Let a(i) = 66*i + 8. Let c(o) = -4*a(o) + 9*z(o). Determine c(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 440569040?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -69*z + 107*z + 77*z - 1495 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 4. Suppose 3*f + j = -10. Let p = -16 + 16. What is the closest to 1 in -3, p, f?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 7720 = 5*s - 21273, -2*s - 3*u = -11593. Suppose s = 4*i + 22*i. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -3*o + 2*r - 33, 3*o + r + 41 = 0. Let m be (-15)\/6*24\/o. Let g = -16 - -27. Solve -9 = -m*k + g for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/3842 and -37\/10.\nAnswer: 19210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 14) to base 2\nAnswer: -10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 191713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36569 is divided by 223?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 296435?\nAnswer: 5, 101, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -183871783*h**5 - 54853310*h wrt h?\nAnswer: -3677435660*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 42*r + 30. Let z = 6 - -7. Let p be c(z). Suppose -7*x + 313 + p = 0. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-2)*(-2)\/4. Suppose -i + 3*h + 0 = 10, 2*i = 3*h - 5. Solve i*l = o*l - 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-116)\/10*((-1530)\/1071)\/(12\/21).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -1829\/452 and -4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i - 3*u + 6*u, 0 = -u + 1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of -l**4\/12 - 11*l**2. Let d(o) = 16*o. What is q(d(v))?\nAnswer: -32*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**2 + 34*r - 140 = 0. Calculate r.\nAnswer: 7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 2*x = -i - 4, 2*x = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2052 - -2064. Solve -b = -17*p + 56 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 105120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1576839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 25, 2*m - 3 + 4 = -3*z. Suppose -z*b = o - 7*b - 15, 3*b = -5*o + 190. Solve -3*k = 4*k - o for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 367 + -364. Suppose -5*l + 260 = -0*l. What is the remainder when l is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 146 + -103. Let w = t + -50. Let u(f) = 4*f + 6. What is u(w)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 8*c - 6. Let r = -3 - -9. Let z be h(r). Let p = 24 - z. Calculate the highest common divisor of 27 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g**(-1)*g)\/g))**(-33) assuming g is positive.\nAnswer: g**(-66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u - 1. Suppose 5*h = 37 - 12, -5*o = 2*h - 10. Let l = 1 + 2. Suppose w - l = -o*w. Calculate s(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 398?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*t + 53 + 23 - 89 + 13.\nAnswer: 31*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 393695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1112*y**6 - y**4 - 2*y**3 - 13*y**2 - 24*y + 2 wrt y?\nAnswer: 133440*y**3 - 24*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -147*m**2*w - 10*m**2 + 2645*m*w - 4*w + 136747 wrt w?\nAnswer: -147*m**2 + 2645*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 - 25*s - 98. Let a be m(-20). Factor -4 - 2*x - 15\/2*x**3 + 17*x**a.\nAnswer: -(x - 2)*(3*x - 2)*(5*x + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k**2 - 2*k**2 - 2*k**2)*(8706*k + 2094*k**2 + 8728*k + 2 - 17437*k - 3) to o*k + i + p*k**4 + u*k**3 + y*k**2 and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 5*x - 1 - 10, -2*x = 10. Suppose 3*j = 1 + 5. Calculate the smallest common multiple of j and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6 - -1) + 1 + -1. Let k = -12 + q. Let u be (-2)\/4 + k\/(-20). Which is the third biggest value? (a) u (b) -2\/11 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10781423 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 5 = -20. Let h be 3*(1 + 8\/12). Solve h*f - 4*f = -l for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13.35 - 15.8. Is -2 > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.6 and -1.06?\nAnswer: 2.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1))**(-3\/11)\/(t**(-1)*t*t)**41)\/((t**(1\/5)\/(t\/t**(2\/5)))\/(t**(-1\/4)\/t*t*t**0)) assuming t is positive.\nAnswer: t**(-8927\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 26 = -h, 15*h + 1206*i - 2412*i = -1205*i + 22 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*k - 12 = -31*k + 5*g, 0 = -4*k - g + 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1572 and 348.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - ((-7 - (0 + -6 + 3)) + 9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -16, 3.24, 2\/11 in decreasing order.\nAnswer: 5, 3.24, 2\/11, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 91 = 17*i, -3*i = 5*g + 45 - 75 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6912?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000611 to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**5*z*z))\/((z\/z**(-2\/7)*z)\/z))\/(z**(-2\/7)\/z)**(12\/13) assuming z is positive.\nAnswer: z**(-646\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 888662.\nAnswer: 2, 233, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7baac5 + 8?\nAnswer: -7baabd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60 + 92. Let t = 34 - f. What is the second derivative of 16*m**t - 48*m + 30*m - 6*m**2 wrt m?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 6*l - 3*l. Suppose 0 = -13*c + l*c - 17700. Round c to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3744720 (base 8) in base 13?\nAnswer: 2a2c68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 10) in base 3?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/160 and -139\/4440?\nAnswer: 17760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2244 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f**2 - 7*f - 40. Let u be j(-9). Let v = -128 + u. Is 12 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 241076?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 11:53 AM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 253879?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 510.1 + -534. Round r to 0 dps.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence trre when four letters picked without replacement from {e: 1, t: 3, z: 2, r: 2, g: 4}?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -7*r - 12. Let l be t(-3). Let y be 6\/l*(4 - (-4)\/8). Solve -y*a - 26 = 4*p, 0*p = -3*p - 5*a - 25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 + 34. What is the third smallest value in 3\/8, -0.1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/3)\/((-2)\/9). Let y = -28 + 12. Does 3 divide (h + -1)\/(y\/(-56))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -196, -4, 149, 2 in ascending order.\nAnswer: -196, -4, 2, 149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 68, -0.5, 0.6, 147\/2, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 1\/2 (b) 0.4 (c) -41 (d) 18\/7 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-2))\/(4\/24)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00203063 to four decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -0*a + 5*a - 67, -2*m - 22 = -2*a. Suppose 2*t = -5*o - 4 - a, -3*t + o - 3 = 0. Sort -4, t, 5.\nAnswer: -4, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -4*w + 48, -w - 133 + 85 = -5*n for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -51*l**2 - 65*l - 74. Give u(-3).\nAnswer: -338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*((-4031)\/(-203) - 60\/70).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -10*n**5 - 46226*n**4 + 64782*n**3 + 212714*n**2 + 46228*n - 55488 = 0.\nAnswer: -4624, -1, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4385 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/2 - 74\/(-4). Let l = 319 + -160. Suppose 3*r - 807 = -5*s, 5*s - r - l = 652. What is the highest common divisor of p and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1*64\/(-12))\/((-2)\/174). Suppose 41*s = 43*s - r. List the prime factors of s.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -52 + 9 + -54 + 70.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13.3 - 13. Let l = -28\/9 + 34\/9. Sort n, 1\/5, l.\nAnswer: 1\/5, n, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3 + 14888*m**2 + 13971620*m + 219750976.\nAnswer: 4*(m + 16)*(m + 1853)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -18*w**2 - 18*w + 18. Let r(t) = t**2 - t + 1. Give 4*n(b) - 72*r(b).\nAnswer: -144*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 488769498 divided by -186\nAnswer: -2627793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3595966mm to meters.\nAnswer: 0.0003595966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - (-11 - -3)) + (-3 - -15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-12)*39*8\/6?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 986.7042 millennia?\nAnswer: 9867.042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of 3*j**2\/2 + 1082. Let o(r) = -3*r**2 - r**2 + 0*r**2. Calculate o(w(q)).\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) 0.5 (c) 111\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 6\/83, -2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -93 + 91. Let f be (3\/s)\/(6\/16) - -8. What is the lowest common multiple of 32\/(-40)*((-30)\/f)\/1 and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y**5 - 6*y**4 - 15*y**3 + 6*y**2 + 12*y. Let u(j) be the second derivative of j**5\/20 - j**3\/6 - 3*j. Let o(n) = -i(n) - 15*u(n). Factor o(f).\nAnswer: -3*f*(f - 1)**3*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**3 + 12*n**2 + 10*n - 9. Let g be j(12). What is the common denominator of 13\/11 and ((-6)\/42)\/((-18)\/g)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -122310133 (base 4) to base 11\nAnswer: -75599","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-2) + 1 + 2. Suppose -6*r + o*r = -136. Suppose g + 12 = r. Does 28 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9958.\nAnswer: 2, 13, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of -3*o**8\/28 - o**4\/12 + 10*o. What is the third derivative of g(z) wrt z?\nAnswer: -720*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -57498475\/18 + 3187974. Let y = r - -6391. Calculate the common denominator of y and 2345\/(-112)*4\/(-10).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*t**2 - 5*t**2 + 8*t**3 + (2*t**2 - t + t)*(-4 + 4 + t) + 3*t**3 + 4*t**3 - 5*t**3 - 3*t**2 - 19*t**3 + 10*t**2 + 21*t**3.\nAnswer: 14*t**3 + 7*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (113*g - 113*g - 26*g**2)*(0 + 0 - g**2) + 3*g**4 + 0*g**4 + 0*g**4 + (5*g**3 - g**3 - 2*g**3)*(-4*g + 5*g + 0*g).\nAnswer: 31*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 180.34 + 2.66. Let t = 183.87 - u. What is t rounded to one decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 48*r + 86*r**2 - 3 + 47*r in the form l*r**2 + o + a*r and give l.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10633 and 589?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/9456 and 35\/32.\nAnswer: 18912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1400162 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {f: 11, e: 4, c: 3, g: 1}.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/45923 and 11\/8.\nAnswer: 367384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*k = -347*j + 349*j - 82, 368 = 4*j - k for j.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of 0 + 3\/2*w**3 + 0*w**2 - 16*w. Let j(y) = -y. Calculate 5*j(t) + q(t).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 8:37 PM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -17912316634 from 0.3435.\nAnswer: 17912316634.3435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(2\/21)*s)\/s*s*(s\/(s*s**(-8)))\/s*((s\/(s*s*s**4*s))\/s*s*s)\/s**(-19) assuming s is positive.\nAnswer: s**(481\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 22 times 43417\nAnswer: 955174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -bd (base 16) to base 7.\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 80\/3 - 26. Let r = 963.2 + -963. Is m >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3021489675?\nAnswer: 3, 5, 4476281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.5 and 47022.\nAnswer: 70533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-38 - (11 + -26)) + (-44 - -30)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -300753 take away -12002?\nAnswer: -288751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40*z**2 - 715*z - 137*z + 0*z**4 + 27*z**4 - 236*z wrt z?\nAnswer: 324*z**2 + 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3796?\nAnswer: 2, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-14)\/(h*(((h*h\/(h\/((h**(11\/5)\/h)\/h)))\/h)\/h)\/h*h*h*h*h))\/((h**(-3\/13)\/h*h)\/h**(1\/3)) assuming h is positive.\nAnswer: h**(-3244\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 218a9 (base 11) to base 8.\nAnswer: 75724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73838996?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -5397814 and -5397822 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 203 + (28\/16)\/(10\/(-40)). What is the greatest common factor of g and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22*6 - (-13278 + 13098)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6819472?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 171 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 24953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(150*30\/44100).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -6*p - 1. Let s(g) = -72*g - 14. Let k(d) = -28*l(d) + 2*s(d). Let c(w) = 82*w. Determine k(c(n)).\nAnswer: 1968*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away 18851?\nAnswer: -18850.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 94916486\/61 - 1555372. Let k = -636 + f. Suppose 0 = -4*v + 3*c - 7, 7*v - 6*v - 3*c + 4 = 0. Does v = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-54)\/14 + 3)*-14 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -10. Suppose g - 94 = -4*m, 3*g = -5*m + c*g + 107. What is the remainder when 89 is divided by m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + w. Let n(p) = 2*p**3 - 5*p**2 + 5*p - 5. Let m(u) = 2*u**3 - 4*u**2 + 5*u - 6. Let l(i) = 5*m(i) - 6*n(i). Calculate l(f) + 5*q(f).\nAnswer: -2*f**3 + 5*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 19545916 to the power of 1\/3, to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/((-540)\/175)*-3*(198\/(-15))\/6.\nAnswer: 77\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26987\/21853 - -7\/1681. What is the smallest value in o, -1, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 89644134 to the nearest integer?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84728189 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 11508085518+0.75\nAnswer: 11508085518.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 605, 861, 1569, 2951, 5229, 8625, 13361?\n\"Answer: 37*q**3 + 4*q**2 - 15*q + 579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (1*sqrt(1539)*-1 - sqrt(1539)))**2 + -5 + 5*(sqrt(1900) + 1 - sqrt(19))**2 + -6*sqrt(1216)*-2.\nAnswer: 186*sqrt(19) + 13851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14089*d**2 - 14089*d**2 + 164*d**3)*(-d - 8*d - d) to k*d + y*d**4 + o + s*d**2 + x*d**3 and give y.\nAnswer: -1640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**2 + 10*y + 14. Let d be o(-3). Find the second derivative of 46*p**d + 25*p + 10*p**2 + 2 + 22*p**2 - 22*p**2 wrt p.\nAnswer: 112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 3.1. Let d = 6 + -5.5. Let u = d - -4.5. Which is the nearest to s? (a) -1\/7 (b) u (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + q = 4, -6 - 10 = 4*m + 5*q for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - 14*o - 50. Calculate the smallest common multiple of 42 and c(20).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71337825 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, -3, 9, 0.707, 8\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -217, -222, -207, -166, -93, 18, 173, 378?\n\"Answer: k**3 + 4*k**2 - 24*k - 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 8 - 41*i - 1 - 27*i + 33. Let y be j(-8). Suppose -2*b - m = -282, -4*m + m - y = -4*b. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/12 and -101\/102.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1261, -4833, -10787, -19123?\nAnswer: -29841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1637412 - 202233362?\nAnswer: -202233362.1637412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*((-16)\/(-6) + -3). Let t(o) be the first derivative of 2\/3*o**3 - 4\/7*o**4 - 2\/7*o**2 + 6\/35*o**5 - 2 + y*o. Factor t(i).\nAnswer: 2*i*(i - 1)**2*(3*i - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249271 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1434701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*h**3*i - 4*h*i + 3*i wrt h?\nAnswer: 12*h**2*i - 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -556.787 and 17.02?\nAnswer: 573.807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*a - 98*a - 4*a - 83*a - 140*a.\nAnswer: -318*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*o - 45 = -12*o + 2*m, 2*o + 37 = 3*m. Which is the second smallest value? (a) -4 (b) o (c) 4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 3. Let c(k) = -2*k**2 + 91*k + 67. Let h = -560 - -606. Let p be c(h). Solve -3*t + 0*q + 5*q - 16 = 0, 2*t = -y*q + p for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6*1012\nAnswer: -607.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 15 + (-117 - -86)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2403 - -3503. Let b = -35297\/6 + f. Calculate the common denominator of 38\/3 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -2 - 6. What is the least common multiple of d + 5 + -6 - -6 and (-24)\/(-16)*(-4)\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(1\/2)\/s))\/s**0*(s\/s**(-6)*s)\/(s\/s**(-7\/2)) assuming s is positive.\nAnswer: s**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooooooooooottot. Give prob of sequence oott.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -4 + 2*i**2 - i + 2*i**2 - 3*i**2 - 3*i. Calculate t(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (35720\/(-171))\/(-20) + (-180)\/18?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106183\/3 + (-140)\/105 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -36 (b) -986 (c) -0.3 (d) -2\/21 (e) 2 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+3077042836\nAnswer: 3077042836.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -9. Let a be 24\/(-4) - (-224)\/40. What is the third biggest value in 0.5, a, u, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1463*l**5 + l**2 - 3314*l wrt l.\nAnswer: -29260*l**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -4 (b) 3 (c) 0.3 (d) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130761271?\nAnswer: 83, 1575437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 114918589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r - 19. Let p(w) = 2*w**2. Calculate p(t(x)).\nAnswer: 8*x**2 + 152*x + 722","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 62 = 22. Suppose i*c + 51 = 5*q + 1, -3*q + 44 = 4*c. Does 6 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g - 2. Suppose 0 = 6*q - 12. Suppose 27 = 5*h + q, 4*p + 13 = -3*h. Give u(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 672541 + 1254880. Let p = -175392647\/91 + f. Let j = p - 336\/13. What is the common denominator of 11\/2 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ebfbxbeeextewew. Give prob of sequence fwee.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -0.4 (b) 0.5 (c) 10\/11 (d) -1 (e) -37\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4250613.0041 - 4250921. Let w = j - -308. Round w to four dps.\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 0*z + 12 = 0. Let p = -196.5 - -196. Which is the nearest to 0? (a) p (b) z (c) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 123 + -86. What is the third derivative of -29*g**2 + 3*g**2 - y*g**2 + 15*g**2 + 41*g**3 wrt g?\nAnswer: 246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 10 = 4*b, -3*j + 2 = 6*b - 8*b. What is the smallest value in -5, -3, -7, j?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -8. Let n(d) = d**3 + d**2 + d + 3. Let l be n(s). Suppose 2*o - l = 3. Solve -2*p + o = -3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + o - 3*o - 3*o + 4*o - 4 - o + 4 - 4*o + 2*o + 0*o + (-1 - 3 + 3)*(3*o - 5*o + 3*o))*(-28*o - 17*o + 11*o).\nAnswer: 170*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 13, 5, 2, -6\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**2 + 102*u + 856. Determine r(-18).\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 4*n - 25. What is d(4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 3:45 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11306176 is divided by 11306159.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 19005 (base 10) in base 16?\nAnswer: 4a3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2\/5 + 6138*r\/5 + 999648.\nAnswer: -3*(r - 2670)*(r + 624)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39 - -24. Let z be (-7)\/(-3) + (-29)\/87. What is the units digit of (-12)\/w*5\/z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 9*a**2 - 4*a + 231. Let g(r) = -45*r**2 + 21*r - 1155. Calculate 4*g(n) + 21*p(n).\nAnswer: 9*n**2 + 231","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -0*f + 2*f - 9 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z - 4859. Let s(d) = d**2. Calculate v(s(y)).\nAnswer: 2*y**2 - 4859","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.003 (b) -4 (c) 806783\/8 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-63)\/126)\/(2\/20). Put 1, -335, v in decreasing order.\nAnswer: 1, v, -335","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 104?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 68, -4, -1, 37934, 0.\nAnswer: -4, -1, 0, 68, 37934","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*m = -56*m - 84 - 136 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2020 - -1102120?\nAnswer: 1111210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22252445 (base 6) to base 2.\nAnswer: -10100100111111101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from udxmskm. Give prob of picking 1 m and 1 u.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3239838.\nAnswer: 2, 3, 7, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-3) - (-26)\/6. Let y(p) = -4*p + 33. Let o be y(7). What is the second derivative of -2*r**5 - 4*r - 2*r**5 + 3*r**a - 4*r**o wrt r?\nAnswer: -100*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4185323 divided by 6?\nAnswer: -4185323\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**0)**(-12)*q\/q**(1\/9)*q*q\/(q*(q\/((q\/(q*q**(-1)\/q))\/q))\/q))\/((q*q\/(q\/q**1*q))**(-48))**(-49) assuming q is positive.\nAnswer: q**(-21142\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16972 is divided by 8436.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -675*n**2 - 4140*n - 6348.\nAnswer: -3*(15*n + 46)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -168*s**3*t**3 + 2*s**3*t**2*x - 3*s**2*t**3*x + 15*s**2*x - s*t**3 wrt s.\nAnswer: -1008*t**3 + 12*t**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 4:12 PM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 4\/9 (b) 0.2 (c) -0.05 (d) 25 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11082320*j**5 + 26671803*j**2 wrt j?\nAnswer: -664939200*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 2*n = -5, -551*n + 549*n = -k - 7 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -545, 16\/5, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 240 and 2240?\nAnswer: 6720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -1, 10.\nAnswer: -13, -1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -4*i**3 + 2*i**2 - 6*i - 6. Let v(c) = -c**3 + c**2 - c - 1. Determine q(w) - 6*v(w).\nAnswer: 2*w**3 - 4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 361649769 to the nearest integer?\nAnswer: 712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k**2 - 9*k + 1. Let v(o) = 5*o**2 - 13*o + 2. Let f(h) = 8*l(h) - 5*v(h). Let w be f(-8). Round w to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - m = 64, 4*y + 21 = 3*m + 113. Suppose 5*z = -3*i + y, 3*i = -3*z - 2*i + 12. Let d(j) = 2*j - 7. Let a be d(5). Solve -a + 7 = z*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 31663529 and 1.\nAnswer: 31663529","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30580?\nAnswer: 2, 5, 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 23.9 and 3.\nAnswer: 71.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 855609*m - 1711235*m + 855620*m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - 59?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of 2*o**7\/35 + 13*o**5\/60 - 3*o**2. What is the third derivative of l(j) wrt j?\nAnswer: 288*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00039501425 rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(190)*-1)\/(-2*sqrt(40)).\nAnswer: -3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 7*f + 8. Let t be b(-8). Let h = 38 + t. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*b = 36, -5*b = -2*c - 64 - 9. Let g = c - -37. Let k(u) = -u**3 - 2*u**2 + 4*u + 3. Let j be k(-3). Solve -g*t = -j*t + 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 94*t**2 - 172*t - 775. Give v(4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 4*w = -5 - 4, -w = -v + 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + w + 1 = -2*r, 5*r - 13 = 3*w for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-2\/3))\/((o\/((o**(-11)\/o*o)\/o))\/o) assuming o is positive.\nAnswer: o**(-35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/(-12) - 4\/6)*3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 1270*b - 17783. Determine f(14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47950, 1, 29, 2, 3 in decreasing order.\nAnswer: 29, 3, 2, 1, -47950","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -114*y**3 - 842*y**2 - 688414 with respect to y.\nAnswer: -342*y**2 - 1684*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 8*p**2 + p - 6. Let r be y(8). Let l be (r\/6)\/(7\/63). Put -1, -3, l in ascending order.\nAnswer: -3, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1683689, -3367376, -5051063, -6734750, -8418437?\nAnswer: -10102124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2922694 is divided by 50?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -396, -710, -1036, -1380, -1748?\n\"Answer: -s**3 - 307*s - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193182?\nAnswer: 2, 3, 11, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -14. Suppose -g = -5 - t. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**(-15)*f**(7\/5) assuming f is positive.\nAnswer: f**(87\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**2 + 3187 - 10*q**2 + 3183 - 6370.\nAnswer: -11*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.71 - -0.91. Let b = -0.24 - -0.41. What is the third biggest value in 3, t, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + 2 - -2 - 1) + (-3 - -7)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*1*((sqrt(2448) + -2*sqrt(2448) + -4)**2 + (sqrt(2448)*-3)**2 + -5).\nAnswer: 192*sqrt(17) + 48982","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 1887?\nAnswer: 2\/1887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-3))\/(303\/(-3030))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 61 = -o, 36 = o - 4*n - 18. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aoaaaoaooaaaaaaooaa. Give prob of sequence oaaa.\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 > 28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 689130?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-5)*(39 - 41)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 12*m**2 - 17. Let i(p) = p. Calculate h(i(s)).\nAnswer: 12*s**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -9. Let l be -1 - -1*(q - 3). Suppose -3*j = -5*n + 31, 2*n - 6 = -l*n - 2*j. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1303 - 1304. Let b be 4\/(-15) - (-2)\/3. Sort b, z, 10.\nAnswer: z, b, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 254147034 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 r when two letters picked without replacement from {s: 1, r: 3, e: 2, n: 3, z: 4, o: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -17\/3. Sort f, 15, 0.3 in ascending order.\nAnswer: f, 0.3, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/29? (a) 2 (b) -0.9 (c) 7.01 (d) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -2213.352.\nAnswer: 664.0056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 1590*j**2. Let p(c) = -1024*c. What is p(w(m))?\nAnswer: -1628160*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 380.9783 + -381. What is z rounded to three dps?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r*r**(-2\/11)*r*r)**(-6\/5)\/(r**(-3\/4)*r\/(r\/(r\/(r*(r*r**13*r)\/r)))))**(-21\/4))**19 assuming r is positive.\nAnswer: r**(-892563\/880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1008 and 96.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**9)**(-26))**(-2\/11) assuming l is positive.\nAnswer: l**(520\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 11712, 93687, 316192, 749493, 1463856, 2529547, 4016832?\n\"Answer: 11711*n**3 - n**2 + n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54108, -65617, -84800, -111657, -146188?\nAnswer: -188393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4931, -19631, -44131, -78431?\n\"Answer: -4900*c**2 - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, u: 1, c: 1, x: 2, m: 2}. Give prob of sequence cu.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -43*v**4*y**2 + 257*v*y**3 + 65694*y**3 with respect to v.\nAnswer: -172*v**3*y**2 + 257*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.059471 less than -981456280?\nAnswer: -981456280.059471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 d, and 1 h when three letters picked without replacement from {n: 1, c: 1, d: 1, h: 2, w: 1, s: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 5*a = 3, -4*l - 2*a = a - 27. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*k - 7*k + 0*k)*(-4*k - 2*k**2 + 4*k) + (6*k - 6*k - 5*k**2)*(-4*k + k + k) to the form b + d*k**3 + p*k**2 + z*k and give d.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -101100101?\nAnswer: -101101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*(-1)\/2 - 2. Let a be u\/(-2) - (-1)\/1. Suppose 2*o - 2*q = -6*q + 28, 0 = a*o + q - 13. Is 4 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 5*o**3 - o - 11 - 4*o**3 + 14. Let k be t(0). Solve -f = -z, f + 2*z - k + 15 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/21)\/((18\/(-6))\/(4*-1))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-1)*0\/(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at least as big as 153351?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7 - 15.\nAnswer: -15.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2 + -1 + sqrt(832)))**2 + 4 + -2.\nAnswer: -48*sqrt(13) + 843","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 - 3*p**2 - p**2)*(-5 - 4 + 3 - 5 - 1 + 5 + (0 + 3 - 1)*(-4 + 2 + 3) + 1 - 4 + 1 + 1 + 2 - 1 + (-2 + 4 + 0)*(-3 + 3 - 2)).\nAnswer: 18*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 697 and 698 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/9 and -1\/45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26786*i = -26813*i + 53458*i - 7910 - 6895 for i.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (259\/21 - 8)*28\/(-14).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*i**2 - 2*i**2 + 4*i**2)*(4*i**2 - 2*i**2 - 5*i**2) + 0*i + 5*i**4 + 2*i - 6*i**4 to b + k*i + w*i**4 + l*i**3 + h*i**2 and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3 (b) -18\/7 (c) -3\/7 (d) -0.5 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*s + 2*s + 0*s)*(-s**2 - 3 + 3) + s**2 - s**2 - 2*s**3 + 828*s**3 + 17158*s - 34321*s + 17162*s to the form d*s**2 + u*s**3 + n*s + j and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 20*m**2 - 42*m - 38. Let j be z(22). Solve 0 = -j*d - 5 - 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3263435141.\nAnswer: 17, 113, 1698821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-27)*6*(-12)\/(-40)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/14 at least as big as -0.09154?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -10910*x**2 - 1. Let l(f) = 8085*f. Give t(l(h)).\nAnswer: -713156424750*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1756, -3508, -5244, -6958, -8644?\nAnswer: -10296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 82382?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 + 10 - (-1 + -9)) + -1 + -17?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + r = 3*t - 1953, -5*r - 3*t + 9825 = 0. Let x be -49*(1 - r\/1605). Let k = x - 39\/214. What is the common denominator of -109\/6 and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 0. Calculate the remainder when (-3 - -3) + (-1 - b) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26144 - 12655. What are the prime factors of x?\nAnswer: 7, 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 304494402 to the nearest integer?\nAnswer: 673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 6*z**2 + 7*z + 4. Let w = -29 + 22. Let c be y(w). Let l = -21 - -24. Solve c*q - 2 = -2*f, -4*f + l*q + 26 = -0*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 638373679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2703827.86 rounded to the nearest one thousand?\nAnswer: -2704000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -112461 + 4*q + 1442*q**2 - 4*q + 112461 in the form l*q**2 + n*q + c and give l.\nAnswer: 1442","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-620)\/18*(-876)\/(-1460))\/((-10)\/(-15))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 8. Suppose 4*k - 44 = n*u, 0 = -k + 5*u + 13 + 7. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -455.1448734 rounded to zero dps?\nAnswer: -455","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 181008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a gram in milligrams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 2:39 AM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {g: 2, b: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from -137.9.\nAnswer: -133.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + o - 1. Suppose -n = 4*f + 19, -2*f = 5*n - 3*f - 10. Determine d(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**3 + 12*n**2 + 32*n + 2 - 32*n as x + z*n**2 + f*n + b*n**3 and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 54 + -69. Which is the third biggest value? (a) o (b) -5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 29781466?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 20 = 2*s, s - 2 = 2*k - 10. Let m = s + -3. Let j(r) = -r**3 - 4*r**2 - 3*r - 4. Determine j(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 8*u**2 + 7*u - 4. What are the prime factors of p(-9)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 99*a**2 + 113*a - 1787. Is k(-110) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -64a8b + -3?\nAnswer: -64a92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -177, -3\/2, -0.1, 0, 5, 0.1.\nAnswer: -177, -3\/2, -0.1, 0, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50836 and 413848?\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(931) + 0 - sqrt(931)) + 3)*5 + 1*(1 + sqrt(931)) + 2)**2*-4 + 4.\nAnswer: -5016 - 1008*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -2\/59 (b) 0.14 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001626 rounded to seven decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -5*r + 30, -2*u + 1 = -r + 11 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*n - 16 = 102*n. What is the remainder when 53 is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.724 + -4.\nAnswer: -4.724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 133 + -129. Is (3 - -9099) + o + 1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 171*h**4 - 3066*h**3 - 76440*h**2.\nAnswer: 3*h**2*(h + 14)*(57*h - 1820)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-270)\/7 - (-9184)\/2009?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/7 (b) -3 (c) 7.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 l when two letters picked without replacement from {q: 4, s: 8, a: 2, l: 5}?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 86135 and 6440?\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k - 9. Let n be a(8). Solve d - z - 8 = 0, 0 = -5*d + 2*z - n*z for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1914 - 1038. Suppose 3*x + 3*n = t, x + 0*n - 3*n = 304. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25208 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 122936 and 62992?\nAnswer: 1016","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -153*f**2 + 3 - 5 + 11*f**2 - 6*f - 6*f wrt f.\nAnswer: -284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - 1)*3\/6. Let f(s) be the third derivative of -s**6\/180 + s**3\/6 + s**2. Let m(a) be the first derivative of f(a). Determine m(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/21 + (-2)\/(-7). Suppose 4*n + 16 + v = -4*k, k - n = 4. Differentiate k*t - t - 1 + 2*t with respect to t.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*o**3 + 6*o**3 + 7*o**3 + 10*o**3.\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*w**3 - 16*w**2 - 218*w + 25*w**2 - 11*w**2 - 353*w as x + q*w**2 + n*w**3 + z*w and give z.\nAnswer: -571","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 6285?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*m**3 - 5*m**2 - 2*m + 7*m**2 + 2*m**2 - 2 - 6*m**2 to n*m + f*m**2 + o*m**3 + c and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/177, 2\/11, -6, -0.1, 33, -3?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 11:13 PM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-3 + 5 + 0 - 10)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 30844996 to the power of 1\/4, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.2432185 - -207?\nAnswer: 203.7567815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 317*s**2 + 4*s + 5. Calculate the remainder when o(-1) is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -29147786 to the nearest 1000000.\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 9 = -5*u. Let t(c) = -113*c - 114*c - 103*c + 302*c - 16. Let i be t(u). Is i < 69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -104078880\/1219 + 2571451227853\/30123928. Let l = -6\/3089 - v. Which is bigger: 17 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-5)*(-120)\/(-3). Let l = -15 + -5. Is 210\/l*s\/(-14) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 13, e: 5, i: 2}. What is prob of picking 1 i and 2 w?\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 9976.\nAnswer: 29928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 7:07 PM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -11, 1.\nAnswer: -11, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 2*a**2 + 2*a + 2. Suppose 1 = -4*v + 13. Is s(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8696, -8930, -9164, -9398?\n\"Answer: -234*g - 8462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13975, 0.13, 237\/7 in increasing order.\nAnswer: 0.13, 237\/7, 13975","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 537 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 7*z**2 - 3*z. Let h(y) = 1502*y**2 + 1. Determine a(h(d)).\nAnswer: 15792028*d**4 + 16522*d**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-14) - 2860\/308) + (-8 - (-260)\/(-26)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -49c336?\nAnswer: 49c331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + 95*b + 2580. What is v(-22)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -20 + 241?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.284975 rounded to three dps?\nAnswer: -9.285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5486 (base 10) in base 15?\nAnswer: -195b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 254834 - 172608. List the prime factors of g.\nAnswer: 2, 41113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/4 - 1\/(4\/(-246)). Let s = r - 58. Solve -f = -4*f - s*j - 16, 0 = f - j for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o - 3*o + 5*o - o + 2*o + o + (0*o + 0*o - o)*(-1 - 2 + 2).\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 248651092 and 404?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d - 18. Let v = -524 + 537. Let w be y(v). Let j(c) = 4*c**2 - 5*c - 1. Let a(f) = 2*f**2 - 2*f. Give w*a(q) + 2*j(q).\nAnswer: -2*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1803*g**2 - 216 wrt g?\nAnswer: -3606*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -6241.\nAnswer: 1\/6241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.4, 2075, -1, -5, -1\/2 in descending order.\nAnswer: 2075, -0.4, -1\/2, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 8*w + 2467. Determine t(-54).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -3\/175 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19227289*o**3 + 4753*o + 43?\nAnswer: -115363734*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1\/181, -209, 0.4, 2\/17 in increasing order.\nAnswer: -209, -1\/181, 2\/17, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 155 = -13*u. Let n = 40 + u. Let k = n - -20. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1100 and 68.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/2*0)\/1. Let d = 2 - r. Suppose -8 = -3*i - 2*y + 6, d*y + 2 = i. Calculate the highest common divisor of i and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**3 + 2200*c**2 + 2194*c - 4396 = 0.\nAnswer: -1099, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -2 + (2 - 10) + (6 - 21)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -d**2\/2 + 4*d - 1. Let y be c(-3). Suppose 0 = -l, -3*s - 3*l + 42 = -4*l. What is the highest common factor of y and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*n + 14 = d, -3*n = 4*d + 32. Let y = d - -12. What is the tens digit of 23*y\/(-3)*-3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 124138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 17 = k. Let v be ((9 - 3)\/2)\/(9\/30). Suppose 2 = -w + v. Calculate the greatest common factor of k and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -9*r**2 + 125805408*r + 41935137 = 0.\nAnswer: -1\/3, 13978379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*q + 703 = -24*q + 92*q for q.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j - 8. Let f be k(7). Let i = 3 - f. Let w be -2*3\/6 + i. What is the biggest value in w, 2\/15, 0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 75 - 79. What is the third smallest value in s, -0.4, 1\/4, 0.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30717010 is divided by 131?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 5*j - 18. Suppose -g = -4*m - 16, 5*g + 2*m = 2*g + j. Suppose -g*b = 3 - 15. Solve t + b*t = 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10110010 (base 2) to base 11.\nAnswer: -152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r**2\/7 - 90148*r\/7 + 35419200\/7 = 0. What is r?\nAnswer: 400, 22137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/3*6*(-50)\/100?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -31*z**2 - 6. Let x(o) = 36*o**2 + 7. Let f(i) = 7*g(i) + 6*x(i). Let r(p) = 2328*p**2. Give r(f(c)).\nAnswer: 2328*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u + 4. What is z(-9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7126, -2\/291, 0.3 in ascending order.\nAnswer: -2\/291, 0.3, 7126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53710.\nAnswer: 2, 5, 41, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k = 3*x - 41, -k - 78*x - 88*x - 99*x + 277*x = 319 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 18*h - 21*h = 10, -t - h - 20 = 6*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -217*n*o*w - 2*o*w + w + 38 wrt n?\nAnswer: -217*o*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.89 and -0.5.\nAnswer: 0.445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -r**5\/12 + 7*r**4\/4 - 14*r**3\/3 - 5*r**2 - 14*r. Let h be u(13). Is h greater than -327?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(275)\/(sqrt(11)*-2))\/(-1*sqrt(125) - sqrt(5)).\nAnswer: sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*f - 83 = 92*f - 5*p, 4*f - 5*p + 114 = 0 for f.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - ((8 - -3) + -6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25833 and 110199.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 101 by 651.\nAnswer: 101\/651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 12:13 PM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.9198 times 0.0102?\nAnswer: -0.25418196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2930089 is divided by 2930087.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16457?\nAnswer: 7, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 221 - 65 = 0. Suppose -4*w + 4 = 0, z - u = -2*z + w. Does 23 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of 7*r**4\/12 + 3*r**3\/2 - 59*r**2\/2 + 8610*r. Let n(v) = -3*v**2 - 4*v + 29. Calculate 5*n(w) + 2*t(w).\nAnswer: -w**2 - 2*w + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**2 + 26*m - 8. Give t(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 2 = -2. Suppose -y - 13 = y + 5*p, 4*p = 4*y + 12. Sort y, i, 2 in ascending order.\nAnswer: y, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 480 a factor of 4774560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/12)\/(1\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -2*t**4\/9 + 208*t**3\/9 - 1642*t**2\/3 - 22264*t\/9 - 23128\/9 = 0.\nAnswer: -2, 49, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*t - 2179 = -62*t - 757 for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 581.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 49985 and 139958.\nAnswer: 699790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/7 and -61\/882?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 4*j = -643, -j + 119 = m + 3*j. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 1554642?\nAnswer: -2\/777321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = t + 4*t + 50, -t - 58 = -3*p. Suppose 1971 = 23*g - 329. Calculate the greatest common divisor of g and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - 2858.7\nAnswer: -2865.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4 - -0.6. What is the nearest to 2 in 1, u, -2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7779014 divided by -2?\nAnswer: 3889507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/((-3)\/4*(-54)\/(-81)). Solve -3*a = -2*l - 5, 2*l - b*a + 15 = l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 4 (b) -3494 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - -3.4886.\nAnswer: 3.4886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - -3. Let i = -10 + g. Put 3, i, 5\/3 in descending order.\nAnswer: i, 3, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(448)*-5)**2 + -5 + (1*sqrt(175) + sqrt(175))**2.\nAnswer: 45495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -94 divided by 1\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/272253 and -37\/5964?\nAnswer: 541238964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/2849 + -133885\/25641. Find the common denominator of m and 38\/59.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 l when three letters picked without replacement from {c: 4, k: 2, l: 5}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1731 is divided by 431?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 343581267?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.11 - 4.89. Let r = x - -4.9999984. What is r rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 12*b + 193. Let x be k(11). What is the tens digit of (520\/x)\/((-1)\/(-590))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-5 + -2*(sqrt(9)\/sqrt(3))**2 + -1)*6.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4844 + -3491. What is the remainder when d is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -82 - (15 - 28) - -48\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -13. Let m be 82\/8 - 1\/u. Let l be (8 - 6) + (-28)\/m. Which is the third smallest value? (a) 0.1 (b) 5\/3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-52))\/((-102)\/(-136)).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2*n + 600 = 0, -2*n - 572 = -4*d - 7*n. Let w be 4\/(-80)*-4 + d\/10. Solve -2*f - f = w for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 2*h - 2*k + 33610, -5*h + 4*k - 33600 = 0. Let y = 11253 + h. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**2 - 28*j + 3. Suppose 35 = -11*g - 119. Let k be t(g). Solve 0 = 3*b - 2*c - 1 + k, -b + c = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 919.\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 582 and 297780?\nAnswer: 28884660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 357*k**5 + 9*k**4 - 2*k**3 + 19*k**2 + 138*k - 2?\nAnswer: 21420*k**2 + 216*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 11:52 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1816, -1644, -1358, -958, -444, 184?\n\"Answer: 57*a**2 + a - 1874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 501016343 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3079 = -448*t - 3539 - 7270 for t.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(0 + 1)*332. Let z be 478\/10 + (-24)\/30 - 1. Suppose -h = z*i - 50*i. What are the prime factors of i?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a885 + -110?\nAnswer: -a995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**3 + 0*s**3 + s**3)*(-4*s**2 - 3*s**2 + 5*s**2) + 2*s**5 + 0*s**5 + 0*s**5 + (5*s - 7*s**4 - 5*s)*(s + 3*s - 3*s).\nAnswer: -3*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -124*c*j*v - 3*c*j - 2436*c*v**3 + 704*c*v + 13*c + 5*j*v**2 + 6*j - 6330*v**3 wrt v?\nAnswer: -14616*c*v + 10*j - 37980*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/4615 in -20\/3, 3, 43, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -8*k**3 - 5*k**2 + 3*k - 1. Let f(d) = d**2 - 7*d + 12. Let g be f(5). Suppose -g*x = -3*l - 8, 10 = -4*l - 4*x + 7*x. Is c(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(77 - 2))\/(-1209 - -1245 - 109\/3)\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 579 is divided by 58?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = -4*f - 43 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06765435 to five dps.\nAnswer: 0.06765","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 210403514, 210403521, 210403528?\n\"Answer: 7*k + 210403507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 9*a**2 - 37*a + 10. What is t(12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*w**3 + 3125*w**2 - 780*w.\nAnswer: -5*w*(w - 156)*(4*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -421 and 142301.\nAnswer: 141880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 4:18 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1260a6 (base 12) to base 5\nAnswer: 34111143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q + 20 = 13*q. Let z(v) = -1 - v + 3 - 3. Let i(f) = 3*f + 2. Determine q*z(u) + 2*i(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/8 (b) -5 (c) -16 (d) -0.1 (e) -69\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -3*q - 36. Let m be r(-13). Solve m*o - 5*k + 25 = 2*o, -5*o - 13 = 3*k for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1053355 + 1?\nAnswer: 1053356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -i + 24. Calculate the smallest common multiple of 8 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -7.3. Let q(n) = -35*n + 409. Let x be q(0). Let r = x - 1637\/4. Sort -6, r, g, -4\/5 in descending order.\nAnswer: r, g, -4\/5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**3 - 2254*d**2 + 6766*d**2 - 2253*d**2 - d**3 - 2259*d**2.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1510754.3 + 1\nAnswer: -1510753.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1446210 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8205, -16436, -24689, -32964, -41261?\nAnswer: -49580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2 - 316*t - 3840.\nAnswer: -4*(t + 15)*(t + 64)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10 - (-10 + 22) - (1 - -1). Suppose 0 = 2*n - 6*n, 0 = 2*x + n - 30. Suppose x*c - 20 = 19*c. Sort 3, l, c.\nAnswer: c, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8322, -16624, -24926, -33228, -41530?\n\"Answer: -8302*n - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + y. Let l be b(0). Suppose -3*i + 7 + 11 = l. Solve 4*q + 32 = 3*n, -2*n + 12 = -2*q - i for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83112 + 83112 - 3*u**3.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + 3*h - 83. Let k be s(8). Solve k = 4*m + 13 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 224.94 - 19.14. Let h = m - 227. Let o = h + 23. What is o rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of j**5\/140 - j**3\/6 + 3*j**2\/7 - 25*j + 77. Let o(b) be the first derivative of f(b). Factor o(g).\nAnswer: (g - 2)*(g - 1)*(g + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10486134*q**3 + q**2 + 5*q + 108978158?\nAnswer: 31458402*q**2 + 2*q + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**(-2\/13)))**(-18)\/(s*s**(-17\/5)*s)**16 assuming s is positive.\nAnswer: s**(1276\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -29*m. Let n(k) = 33*k - 15*k - 13*k - 13*k - 6. Let g(p) = 15*p + 10. Let o(q) = -3*g(q) - 5*n(q). Calculate o(d(x)).\nAnswer: 145*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (361*g**2 + 276*g**2 + 2*g - 356*g**2 - 2)*(-1 - 4*g + 1).\nAnswer: -1124*g**3 - 8*g**2 + 8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4*h - 26 = 0, -5*c - 3 = -4*h + 2. Suppose -3*t = c + 3. Is 26 a factor of ((-15)\/(-20))\/(t\/(-176))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 24, -2, 5, 1074 in ascending order.\nAnswer: -2, -1, 1, 5, 24, 1074","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1277*m**3 + m**2 - 181 + 552 - 368 + 60*m wrt m.\nAnswer: 7662*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sbbbsbbbbss. What is prob of sequence bs?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zg when two letters picked without replacement from {j: 10, z: 6, g: 2}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -75 + 121. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 418986?\nAnswer: 2, 3, 7759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 18563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/175 + 159\/1400. Is -19 <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 56 + -28. Let x(s) = 430*s - 3. Let n be x(-1). Let o = n + 741. Calculate the highest common factor of c and o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -381638.1 to the nearest 100.\nAnswer: -381600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 4 (b) 1\/6 (c) -2\/3 (d) -3\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/54*(-5877)\/(-7183)\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*j + 66*j = 8. Let g(p) = p**3 + p**2 + 1. Let i(m) = -4*m**3 + m**2 - 2. Determine j*i(b) - 2*g(b).\nAnswer: 2*b**3 - 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 2845316?\nAnswer: 5690632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2*m + 116 = 3*o, -3*o - 4*m + 80 = 0. Suppose -2*j + o = -5*k, -3*j - 5*k + 13 = -k. Let s(l) = l**3 - 7*l**2 + l + 5. Does 5 divide s(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453971 to the power of 1\/2, to the nearest integer?\nAnswer: 674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 143698194 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40209852?\nAnswer: 2, 3, 19, 31, 5689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*(w*w\/w**31)\/w)\/w**(-4\/13)*(w**(-29))**15 assuming w is positive.\nAnswer: w**(-6015\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -891, -0.07, -5, -3?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.15 + 0.05. Let j = 0.2 - -1.8. Which is the closest to 0.1? (a) j (b) 1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/2089216 and -63\/163220?\nAnswer: 10446080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 56876 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37925 is divided by 12603.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109404*s**2 + 218690*s**2 - 109206*s**2.\nAnswer: 80*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*d**2*l**4 + 1568*d**2*l - d**2 - 93*d*l**4 wrt l.\nAnswer: -228*d**2*l**2 - 1116*d*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 10, -4, -1\/6, 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 828539205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {x: 8, k: 1, f: 2, t: 7}.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 11:45 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 2*t + 176, 9*g - 410 = 4*g - 5*t. Suppose -g*j = -81*j - 56. Suppose 1008 = -7*l + j*l. Does 36 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of 907*w**4\/12 + 13*w**3\/6 + 12*w**2 - 58*w + 4. What is the second derivative of d(q) wrt q?\nAnswer: 1814","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 468947431 to the nearest integer?\nAnswer: 777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24316970 divided by -1430410.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2994 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -450*g. Let i(o) = 21*o**2 + 5*o. What is b(i(d))?\nAnswer: -9450*d**2 - 2250*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79310.06 days to nanoseconds.\nAnswer: 6852389184000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24*6\/81 - (-60)\/(-45).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -1960*g - 5. Let k(m) = 1973*m + 4. Give -7*k(c) - 6*p(c).\nAnswer: -2051*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*o*z**3 - o - 136*z**3 - z**2 + 557*z wrt z?\nAnswer: -12*o - 816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8\/321 (b) -1\/117 (c) 0.4 (d) -0.4 (e) -21\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.49 - 0.01. Let w = r + 3. Suppose 3*f - f + 2 = 0. Put 2\/3, w, f in decreasing order.\nAnswer: 2\/3, w, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(76) - (sqrt(76) + (1*sqrt(76) - sqrt(76))*4))**2 + -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 5*k**3 + 9180*k**2 - 335340*k + 3032640 = 0.\nAnswer: -1872, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*f, 5*f = -3*q - 0*q + 38. Suppose t = -q*t + 42. Solve 0 = 3*n + t for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -q**5\/10 + q**4\/5 + 4*q**3\/5 = 0.\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15.100081 + 15.1. What is q rounded to 5 decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8690 divided by -4?\nAnswer: -4345\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80, 160, 240, 320, 400?\nAnswer: 480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/1320 and 53\/60.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seventy-seven halves of a micrometer?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17 - 3957*x + 3957*x - 7099*x**2 + 5*x**3 - 17 - x**5 wrt x?\nAnswer: -60*x**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/11)\/(-17 + -1 - -17). What is the closest to -1\/3 in q, 1\/4, -5\/2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -918\/11 + 84. Sort u, -0.1, -1\/5, -0.5 in increasing order.\nAnswer: -0.5, -1\/5, -0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**5 + f**4 - 19*f**3 - 9*f**2 + 9*f = 0.\nAnswer: -3, -1, 0, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-13725)\/61)\/75)\/(1\/(-6))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a - -119?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.61021087 to 4 dps.\nAnswer: -4.6102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/11)\/(d*d**(-2)*d))\/(d\/(d*d\/(((d*((d*d*d**(1\/10))\/d)\/d)\/d)\/d))*d\/(d**(2\/5)*d)))**49 assuming d is positive.\nAnswer: d**(11907\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*p + 1266 = 73*p + 742 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2740293ug to milligrams.\nAnswer: 0.0002740293","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2227 - 188*p + 646*p - 1105 wrt p?\nAnswer: 458","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t**2 - 177*t - 175. Let k be r(60). Suppose j - 4*j - 3 = 0. Sort k, j, 4 in descending order.\nAnswer: k, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28044 divided by 36.\nAnswer: -779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 263913 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4302904*m**2 - 1434293*m**2 - 1434309*m**2 - 1434306*m**2.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40542 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6ba1 (base 13) in base 14?\nAnswer: 575a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/230 and 125\/1794?\nAnswer: 8970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 2:58 AM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 223 by -102.\nAnswer: -223\/102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 57*m**2 - 27*m + 88. Is 26 a factor of d(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 169.09 - 174. Let v = u - 0.09. Which is the nearest to 0.1? (a) 4\/5 (b) 0.1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h. Let u(l) = -1. Let n(d) = d - 1. Let x(c) = n(c) + u(c). Let g(p) = -5*p + 9. Let j(t) = -2*g(t) - 9*x(t). What is j(s(w))?\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 65*p = 69*p + 20, -2*a - 3*p = 15 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 369.94245 and 98.\nAnswer: 467.94245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -61935124*o**6*u**2 - 2270*o**2*u**2 - 21219*u**2 wrt o?\nAnswer: -7432214880*o**3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fyfvyyy. What is prob of sequence yv?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-7) + -1)\/((-6794)\/618254).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 240.870616 + -560.8006. Let w = -320 - c. Let x = w - -0.07. What is x rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -167, -749?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g + 1. Let p(u) = -6*u + 7. Let i(r) = -p(r) + 3*t(r). Let v be i(5). Suppose 5*a - 29 = v. What is the smallest common multiple of 20 and a?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5037, 5035, 5031, 5025, 5017, 5007?\nAnswer: 4995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1 + (0 - 4 - -5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.801375 nanometers in millimeters?\nAnswer: 0.000006801375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 2*k + 5, -4*p = 4*k - 13 - 7. Let t(d) = 0*d**3 - d**p - d**2 + 30 + 32. Is t(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 69615 and 90?\nAnswer: 139230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*(q*q**36)\/q)\/q*q**(-12)\/q)\/(q\/(q**(-23)\/q))**44)**(-13\/2) assuming q is positive.\nAnswer: q**(14001\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.28 and -115.\nAnswer: -147.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -89.39 + 120.6. Let w = k + 1.79. Which is smaller: w or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 894832 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (164\/((-272240)\/(-498)))\/((72\/10)\/(-2)).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2724 is divided by 2619.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 7036 - 2*f + 2*f - 2*f**2 - 7033. Let a(y) = -y**3 + 4*y**2 + 6*y - 2. Let r be a(5). Give c(r).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5747162?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c*n**2 + 16*c*n - 2*c + 16753*n**2 + 8*n wrt n.\nAnswer: -4*c + 33506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96, -99, -102, -105, -108?\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmrmtmmomtmtmrtmoror. Give prob of picking 1 t and 1 r.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**2 - 39*p - 4. Let z(u) = 2*u**2 - 41*u - 3. Determine 4*k(d) - 5*z(d).\nAnswer: -2*d**2 + 49*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*b - 549 = -4*b + 35*b for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k + 23. What is the remainder when 229 is divided by w(0)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 112930 and 334509953.\nAnswer: 3345099530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) -9\/7 (b) 3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 907*j = -26792 + 5931 for j.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1004284600 rounded to the nearest 1000000?\nAnswer: 1004000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 526622572 to the power of 1\/3, to the nearest integer?\nAnswer: 808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 8543.434km?\nAnswer: 8543434000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3775354 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 43720116263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -154 + 422. Suppose -2*w + 90 = y, 3*y = -4*w - 3*y + 180. What is the remainder when k is divided by w?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d - 13*s + 11*s + 41, -5*s - 55 = 5*d for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(10)\/(-3*sqrt(8)).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1946, 1945, 1944, 1943, 1942, 1941?\n\"Answer: -y + 1947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 650 and 4394?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190 + 62 = -243*z + 1467 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eoioiiippoo. Give prob of picking 4 i.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 273.\nAnswer: -27.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -347 + 4513\/13. What is the nearest to 2 in 3, a, -3\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16\/6*(-3)\/(-12). Put 0.4, d, 2 in increasing order.\nAnswer: 0.4, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.053 * -0.044672.\nAnswer: -0.002367616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (15\/(-140))\/((-6)\/(-21)). Let f = -4.11 + 0.11. Let m = f - -1. Which is the smallest value? (a) q (b) -4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -10*c**2 - 1925*c - 932. Give v(-192).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -517727 - 8319 = -6950*s - 3103 + 255457 for s.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 364, 362, 360, 358, 356?\nAnswer: 354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (7 - 6) + -26*(-6)\/4 and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 + 12\/(-7 + 3) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 1070\/165 - 1415\/(-849)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -11, 26, -13, 184 in decreasing order.\nAnswer: 184, 26, -1, -11, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of l**4\/36 - 19*l**3\/3 + 220*l**2\/3 + 523*l - 4. What is o in f(o) = 0?\nAnswer: 4, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 752769024 a multiple of 4416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, p: 4}. What is prob of picking 3 d?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 16 (b) -2\/11 (c) 2\/3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23*a**2 + 100*a**2 + 69*a**2 + (-2*a**2 + 2*a**2 + 2*a**2)*(-7 + 4 + 2).\nAnswer: 190*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + -1 - (7 + -18) - (2 - -8).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + u - 8446 = 23069, -5*t + 4*u = -52542. What is the greatest common factor of t and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 times 356.3302?\nAnswer: -17.81651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-6\/11)\/l)\/l)\/(l\/l**(-9\/5)*l))\/(l**(-2))**(3\/29) assuming l is positive.\nAnswer: l**(-9791\/1595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39930*k + 156 = 39891*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2927521*l**2 - 1040288*l + 92416.\nAnswer: (1711*l - 304)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0624 - -1.4104. Round f to 1 dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 114\/(-4)*350\/525.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x\/(x\/((x*x*x*x**(8\/7)*x)\/x*x)))\/x)*x*(x\/(x\/(x*x**(7\/2))))\/x)\/(x**(-8))**(3\/10) assuming x is positive.\nAnswer: x**(263\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2*693\/24)\/((-671)\/(-132) + -5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in -1049, -3, 2, 8, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -597*b. Let g(n) = 28*n**2. What is m(g(z))?\nAnswer: -16716*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-1\/13)*f)\/(f*f\/(f\/f**(4\/3))*f))**(-23)\/(((((f**(-5)*f*f)\/f)\/f)\/f*f*f**(-1\/7)\/f)\/(f**2*f\/(f*f**(-1)))) assuming f is positive.\nAnswer: f**(10385\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*f - 52*f - 10 - 32*f.\nAnswer: -71*f - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*i + 196529 + 71019 = -13*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 11 = -3*i + 5*w, -5*i + 2*w = -4. Let p = i + 1. Suppose -2*v + 10 = 0, 0*v - 94 = -p*d - 5*v. What is the remainder when d is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2 = 2*n, 3*n + 7*b - 2*b = 3. What is the hundreds digit of (53 - n)*(-9 + (6 - -5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15759*d*v + 763*d + 34916601*v wrt d.\nAnswer: 15759*v + 763","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 1 - 17 - 13 - 11 + 3 - 3*a. Let l(y) = -4*y**2. Give u(l(m)).\nAnswer: 12*m**2 - 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2710 is divided by 899?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*j, -5*n - 2*j = -n - 26. Let o be 4\/(n\/((-8)\/(-2)))*1. Suppose 697 - 53 = o*p. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 2:37 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of u**6\/120 - u**5\/15 + u**4\/12 - 5*u**3\/6 - 5*u**2. Calculate f(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102 and 1786134?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -27*z - 42. What is h(13)?\nAnswer: -393","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wowo when four letters picked without replacement from wwwwwowwwwwwwwwowowo?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of -23*c**8\/336 + c**6\/120 - 37*c**5\/20 + c**2 - 22. Find the third derivative of r(k) wrt k.\nAnswer: -1380*k**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (4 - (10 + 0)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 124 (base 8) in base 6?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11191530869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 87113.3+-0.1\nAnswer: 87113.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3569023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 9:25 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -48760 to the nearest 1000.\nAnswer: -49000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*k + k + 3*k)*(2*k - 15 - 1 - k) to g*k**2 + u*k + h and give u.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 9) to base 2.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 344 and 8084.\nAnswer: 16168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 58526 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -5. What is the nearest to 1 in 0, 5\/2, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 336260.6 rounded to the nearest one hundred?\nAnswer: 336300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 594 and 8433.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**3 - r**3 + 2*r**3 + (0*r**3 + 40*r**3 - 111*r**3)*(2 + 0 + 6).\nAnswer: -567*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1274 and 59046470?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 4*o = o + 10, 2*k - 4*o = 8. Suppose k = 3*x + x - 16. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 39*h**2 - h + 1. Let d be 4\/(-2)*(-7)\/7. Suppose d = 5*w - 3. Is p(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1145 - -0.11\nAnswer: 1145.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 1:59 AM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1384 - -4156\/3. Factor -2*o**2 - 1\/3*o**4 - 4\/3*o**3 - 1\/3 - k*o.\nAnswer: -(o + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1264 + 5619 = 67*p for p.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**2 + 0*b + 0 - 9*b - 3 - 12*b. Let m be i(-9). Calculate the greatest common divisor of m and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y**2 - 11*y - 11. Let o(q) = -5*q**2 + 12*q + 11. Let b(u) = 2*o(u) + 3*t(u). Calculate b(-10).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + z - 4 = 0. Suppose -z*l - 501 + 3769 = 0. Let i = -140 + l. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -154*d**2\/5 - 58*d\/5 - 4\/5.\nAnswer: -2*(7*d + 2)*(11*d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 999 and 21201.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 234 = 7*x. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*y**2 - 12*y**2 - 2*y**3 + (-2*y + 2*y - y)*(-4*y**2 + 2*y**2 + y**2))*(262*y - 56355 + 56355).\nAnswer: -262*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37 + -28. What is b rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 601*m + 3299. What is z(-5)?\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/43 in -56.06, -1\/5, 5\/6?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1070241 and 41349.\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 3*sqrt(605))**2.\nAnswer: -132*sqrt(5) + 5449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 6:59 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**3 - 8*o**3 - 10*o - 2*o**3 + 2 + 17*o - o**2 + 4*o**4 - 9*o in the form l*o**2 + f + d*o + r*o**3 + y*o**4 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18211533 rounded to two dps?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -115 - -123. Suppose 3*b + 2*j - t = 7, 5*b + 4*j - 27 = 0. Suppose 3*i + 5*r - 91 - 32 = 0, -2*i + 83 = b*r. Is 31 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 57892263?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 644747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 21. Suppose 0 = -5*k + 11 + 14. Solve -3*m = -q*l + 2*l + 2, l = -k*m + 6 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, r: 2, m: 2, a: 4}. What is prob of picking 2 a?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 - 0)*10\/(-6). Suppose -i = -n*z + 26 + 122, -158 = -5*z - 4*i. What is the common denominator of (z\/(-100))\/(3\/37) and 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 758*d**3 - 378*d**3 + 6*d - 379*d**3 + 1 - 7*d**2. Let y be (-32)\/(-6) + 23\/((-345)\/(-10)). Determine t(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a - 3*a - 192. Let r = a + 67. Suppose 12 = 3*q, -102 = -b + q - r. Does 9 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15014 (base 6) to base 8\nAnswer: -4522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 47*r**2 + 101*r - 1. List the prime factors of l(-6).\nAnswer: 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 6 - 26 - 8*r - r - 24*r. Let i be h(-5). Calculate the highest common divisor of i and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 65411\/3 and 21804 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16632, 133093, 449200, 1064775, 2079640, 3593617, 5706528?\nAnswer: 8518195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t - 43. Let o be f(-15). Suppose -o*n - 317 + 1177 = 0. Let w = n - 226. List the prime factors of w.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43 + 23 + -5 - -7\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 33, 91, -3, 171 in ascending order.\nAnswer: -3, 1, 33, 91, 171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 234 + 198 = 0. What is the lowest common multiple of n and 198?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -668*b + 5. Is f(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 128*m - 46*m + 2*m**3 + m.\nAnswer: 2*m**3 - 173*m + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 865084 is divided by 317?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1986 and 1096416.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(4\/9)*g)**(-9\/7)\/((((g*g*g\/((g*g\/(g*g*g**(21\/4))*g*g)\/g*g))\/g)\/g)\/g**1))**16 assuming g is positive.\nAnswer: g**(-716\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 185325466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 440 by 1768.\nAnswer: 55\/221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 3*o**2 - 6*o - 8. Let p be c(-3). Let t(k) = k**2 - 11*k + 4. Calculate t(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - -1 - (-13)\/1. Let t = j + -14. What is the third derivative of 3 - 3 + s**t - 2*s**5 wrt s?\nAnswer: -120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, r: 5, n: 2}. Give prob of picking 2 s.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 439*l + 30 - 880*l + 440*l. What is the remainder when 153 is divided by n(-9)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {v: 4, z: 7}.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i*i\/((i**0*i)\/i*i*i)*i)*i\/(i**(-7)\/i)*i*(i**(-2\/7))**(8\/3))**(-25) assuming i is positive.\nAnswer: i**(-4325\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r + 305995 - 151254 - 154741.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 5*b**2\/4 + 117625*b\/4 - 58815\/2 = 0.\nAnswer: -23526, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3581?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/((p\/(p**(1\/3)*p)*p)\/p))\/(p\/p**(-6)*p*p)*(p*p**0\/p)**(-17\/6))\/((p**(2\/3))**(-6\/25))**(5\/8) assuming p is positive.\nAnswer: p**(-197\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-35)*3450\/460.\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2232 divide 513433276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 1, -1, -7544, 2\/1249?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 11:05 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2914*m - 851. Is y(-48) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 3154, 47\/362 in descending order.\nAnswer: 3154, 47\/362, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2306*a*w + 2388*a wrt w.\nAnswer: -2306*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**4)\/t**(9\/2))\/((t*t**(-9)*t)\/(t*t**(2\/3)*t*t)))**(3\/28) assuming t is positive.\nAnswer: t**(67\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4181*y - 2728*y + 6976*y.\nAnswer: 67*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**11*t*t*t**(-1\/5)*t)**(-50)*t**3*(t\/(t\/t**3))\/t*((t**(-1)\/t)\/t)**(4\/11) assuming t is positive.\nAnswer: t**(-7547\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (707 + 535 - 318 - 292 + 435 + 342)*(96*h**3 - 58*h**3 - 57*h**3) as c + s*h + g*h**3 + r*h**2 and give g.\nAnswer: -26771","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3*u. Let o be c(2). Suppose 4*v = -23 - 29. Let m(l) = 5*l**3 + 4*l**2 - 4*l + 6. Let g(d) = -11*d**3 - 9*d**2 + 9*d - 13. What is o*g(i) + v*m(i)?\nAnswer: i**3 + 2*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-800)\/130 + 40\/130 - 6\/(-1)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**3 + 0*y**3 + 0*y**3)*(0*y + 1 + 0*y - y)*(1 - 2 - 3).\nAnswer: 16*y**4 - 16*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -21*h**3 - 5*h**2 - 5. Let r(w) = -15*w**3 + 189*w**2 - 17*w**3 + 7 - 197*w**2 - 15. Let q be -3*3*5\/(-9). Determine q*r(s) - 8*y(s).\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 289829 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12.7 + -132.\nAnswer: -119.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-152304)\/1169)\/(1038\/(-518) + 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 137*w**3 + 519*w**2 + 598*w + 216.\nAnswer: (w + 1)*(w + 2)*(137*w + 108)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -239054 - -343275. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -452*b**2 - 7*b - 3*b**3 + 3 - 4 + 453*b**2 in the form n*b**2 + y*b**3 + r + h*b and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*u - 12*u + 9*u)*(121*u - 121*u - 121*u**2) to v + j*u**2 + k*u**3 + n*u and give k.\nAnswer: -363","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 5*w + 149567 = g, 5*g - 186936 = 3*w. List the prime factors of g.\nAnswer: 3, 17, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 242*r + 5 - 198*r)*(4*r**3 - 3*r**3 + 4*r**3).\nAnswer: 220*r**4 + 10*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -3*z**3\/5 - 9*z**2 + 48*z\/5 = 0?\nAnswer: -16, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 211, 190, 149, 82, -17, -154, -335?\n\"Answer: -p**3 - 4*p**2 - 2*p + 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 11*p**2 - 84615*p + 591762. What is j(7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -385 + 562. Let t = 182 - y. What is the biggest value in 2\/3, t, -0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*n**3*v**3 - 2774*n**3*v**2 + 44*n**3 - 1571*n**2*v**3 + 8*v**3 wrt v?\nAnswer: 168*n**3 - 9426*n**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, 6, 20, 38, 60, 86?\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 777?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -164, -231, -298, -365, -432?\n\"Answer: -67*m - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -6. Let j(o) = o + 2. What is the remainder when 7 is divided by j(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/5 (b) 5\/3 (c) 1 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -5*o**3 - 11*o**2 - 13*o - 37. What is the least common multiple of 3087 and j(-5)?\nAnswer: 18522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25225 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 m, and 1 f when three letters picked without replacement from tetttttfbkm.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -8) + (-23 - -7)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 + 4 - 7*g)*(2*g - g + g) - 5*g**2 + 3*g**2 + 0*g**2.\nAnswer: -16*g**2 - 6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) -0.3 (c) 0.09 (d) 2\/3 (e) -36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -132 - -116. Let p(l) = -l**3 - 12*l**2 + 22*l - 20. What are the prime factors of p(z)?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*c - 4*c**2 + 3*c)*(1 - 5 + 3)*(-c + 4 - 4) to the form o*c + g*c**3 + w*c**2 + z and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3536 - 3536.3273. Let m = 0.33 + k. What is m rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50616.28+-29473913\nAnswer: -29423296.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 91784 + -51331. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 3*c - 3*b - 165, 4*c = 4*b + 228. Let g(k) = -27 - 33 - 17*k**2 + c. Let x(d) = 3*d. Let r(f) = f. Let h(q) = 2*r(q) - x(q). Give h(g(z)).\nAnswer: 17*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1801 - -0.3\nAnswer: -1800.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 94134329?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6685140311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 19 + 26. Suppose 0 = -a - 2*k - 12, 3*a + 2 = -2*k - 18. What is the units digit of a - -1 - p*-3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38)\/(-95)*(11 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2 + 22553*l + 45102. What is h(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1036214238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**5\/7 + 62*l**4\/7 - 708*l**3\/7 + 3672*l**2\/7 - 8208*l\/7 + 5184\/7 = 0.\nAnswer: 1, 6, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000081701725 to 6 decimal places.\nAnswer: 0.000082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 829683 is divided by 4880?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -53 - -55. Sort p, 5, -4, 0 in ascending order.\nAnswer: -4, 0, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5*(-2 - (-16)\/(-40)). Suppose -13 - m = -3*g + 4*k, -2*g + 5*k + 26 = 0. Solve -5*u + 3*f = -2*u + 27, 2*f = g*u + 22 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46815 * -2.05\nAnswer: -95970.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 793, 1601, 2421, 3253, 4097?\n\"Answer: 6*p**2 + 790*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 86 and 72601673?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -23a (base 15) to base 12\nAnswer: -361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 4. Let n be (60\/35)\/(-6)*-7. Which is greater: n or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -233? (a) -0.1 (b) 3770 (c) -0.5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = -10 + 46. Let a be 28\/4 + 1*-4. Solve 3*d - p*d + 3 = -f, 0 = -4*d - a*f + 19 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 269.8 + -268. Let d = h + -1.7. Is d <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -28198 >= -28198?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/589952 and 149\/139392.\nAnswer: 58405248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -d**4\/4 + 4*d**3\/3 - 7*d**2\/2 + 2*d - 34. Find the second derivative of x(a) wrt a.\nAnswer: -6*a + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 1 + (17 - 25)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -c5?\nAnswer: -c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 10082 (base 10) to base 13\nAnswer: 4787","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {o: 2, e: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -12. Let v(t) = t + 170 - 119 - 245 + 174. Determine v(s).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -z - 12, 4*z + v - 5*v = 32. Differentiate 25*l**4 - 2 - 2 - 24*l**z with respect to l.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 341*k**2 - 169*k**2 - 199*k**2. Let w(u) = -3*u**2. What is i(w(y))?\nAnswer: -243*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 0. Suppose -2*u + 2 + k = 0. List the prime factors of (-2)\/u + 72\/2.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.89136 micrograms in kilograms?\nAnswer: 0.00000003989136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 10*q**2 - 7*q - 3. Suppose 0 = -5*j + 8 + 27. Is r(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/4 + 3\/4. Let y = -104 - -104.4. What is the nearest to 2\/7 in -0.5, y, b?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3. Let n(x) = x. Let y(v) = -3*v - 24. Let b(c) = -2*n(c) - y(c). Let h(r) = -3*b(r) - 24*m(r). Let q(s) = 33*s + 7*s - 23*s - 19*s. Give q(h(d)).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 - 48980*p - 245025.\nAnswer: 5*(p - 9801)*(p + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4\/7 - p**3\/7 - 10*p**2\/7 - 8*p\/7.\nAnswer: p*(p - 4)*(p + 1)*(p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a kilogram in grams?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 60400 to the power of 1\/2, to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b = 1082 - 362. Let t be (b\/(-32))\/(-1 - 11\/(-8)). Is t + (231 - 0\/(-6)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l + 9. Let w(s) = s - 719. Give 3*f(n) - w(n).\nAnswer: 2*n + 746","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = l - 6*l. Suppose -3*i - 5 = -l. Which is the second biggest value? (a) 0 (b) i (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**3\/4 - 720*x**2 + 253799*x\/4 = 0.\nAnswer: 0, 91, 2789","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -71ca40 (base 13) in base 11?\nAnswer: -155430a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -p**3\/3 - 50*p. Let b(i) = -1413 + 4*i**2 + 1413. Give b(x(k)).\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -105*l + 108*l for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 27\/8 in 0.9, -2, -5, 0.3, 1\/2254?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1477948, 2955896, 4433844, 5911792, 7389740?\n\"Answer: 1477948*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.035? (a) 9 (b) -2\/3 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 35630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*z - 2234 + 2234 + 2*z + 2*z**4 wrt z.\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1104555?\nAnswer: 3, 5, 73637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6*5*(468\/(-45) - -11)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 18*j**2 + 21*j + 39. Let t(h) = -h**3 - 11*h**2 - 29*h - 14. Let q be t(-5). Let k be b(q). Solve 4 - k = i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12894 - 3.\nAnswer: -12897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = 3*b + 30. Let w be 1 - (b - 3)*1. Put w, -5, 4 in decreasing order.\nAnswer: 4, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 15*k = -12*k + 775, -3*k = -6. Suppose 16*m - 323 = x. List the prime factors of m.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in 5, 4, 149.9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 762 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*l + 213*l = 13 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/9 + 204\/459. Solve k = -5*g + 9*g + 12 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + a - 3. What is c(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, w: 3}. What is prob of picking 3 k?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -181594.701 to the nearest one thousand.\nAnswer: -182000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 16532344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000001968055 rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5 = 3. What is the third derivative of -n**6 - 3*n**c + n**6 - 2*n**6 wrt n?\nAnswer: -240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -7\/149?\nAnswer: -7\/149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 207 and 21.\nAnswer: 1449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -562 * -0.325\nAnswer: 182.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m - 8*m + 5*m + 8*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 747060*a**3 + 68922.\nAnswer: 2241180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/750730227 or 1?\nAnswer: 2\/750730227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -56 and 7.83?\nAnswer: 63.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 7*u - 1. Let y be s(6). Which is the third smallest value? (a) 1\/207 (b) -3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.83 + 5.33. What is the smallest value in -2, f, -1\/14?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((288\/60)\/12)\/(-8 - -9). What is the nearest to -2\/9 in -2\/7, 0.03, 0.2, y?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, 6, 44, 92, 144, 194, 236, 264?\nAnswer: 272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -4*v - 364, 352 = -4*v - 2*x + x. Let r be -7 + 2 + (-450)\/v. Which is smaller: r or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k. Suppose 4*f + 2*m = -2*m + 20, 0 = 3*f - 5*m - 7. Let b(x) = 16 + 8 + f*x - 23. Determine -b(w) - 5*l(w).\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 909.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-14 - -5) + 1 + 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -39*a - 73. Give r(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8148 and 100400.\nAnswer: 204514800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -511 + 244. Let k = j - -269. What is the nearest to k in 0.5, -0.3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 5) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*t**5\/5 - 2484*t**4\/5 - 2532*t**3\/5 + 17424*t**2\/5 + 2526*t\/5 - 2988 = 0. Calculate t.\nAnswer: -3, -1, 1, 2, 415","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + 3)\/(2\/18). Suppose 28 = b - k. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-449628)\/(-21) + 20 + (-146)\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00221747 rounded to 4 dps?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -690*x = w - 693*x - 4, 5*x = 71*w - 700 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of c**4\/4 - 4*c**3\/3 + c**2 + c - 8. Determine m(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72661 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54454 is divided by 2790?\nAnswer: 1444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11697 and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 3*u. Let s be w(4). Suppose -5*b = m + 17, -2*m + 3*b + 31 = -0*m. Suppose -y - y + m = 0. Solve 3*k - 4 = 4*a, -y*k + k - s = 4*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -867 + 1936. What are the prime factors of v?\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -38*h**3 - 8*h**2 + 3*h - 2. Let i(p) = -37*p**3 - 6*p**2 + 2*p - 2. Let a(b) = 4*i(b) - 3*q(b). Find the second derivative of a(n) wrt n.\nAnswer: -204*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -25 (b) 1\/98 (c) -1 (d) 0.2 (e) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 164656715?\nAnswer: 658626860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/10))**(-1\/11)\/(k*k**(-3\/5))**(-20) assuming k is positive.\nAnswer: k**(881\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6411690 to the power of 1\/2, to the nearest integer?\nAnswer: 2532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 11) to base 4.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 12:59 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 176 and 19694256.\nAnswer: 216636816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 1:55 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2491635 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40457 is divided by 40454?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32369658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -783*l - 6255. Let a be w(-8). Solve -3*y - 4*g + 73 = 80, 4*g = -5*y - a for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10809922?\nAnswer: 2, 5404961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 3*a**2 - a. Let r be k(-3). Suppose 2*c = -0*c + 4*t + 320, 4*c + 4*t = 652. Suppose -r*n = -n - c. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 52*b + 60 + 33 - 88 to the form f*b + j and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 50 + -19. Suppose -2*w = 3*k + b, 5*k - k - 10 = w. Let c be (2 - (-1756)\/7)\/((-1)\/w). Round c to the nearest 100.\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -19. Put 1, 3, 5, a in ascending order.\nAnswer: 1, 3, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.05+-0.1\nAnswer: 2.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2*w - 2 = 2, 3*p + w = 0. Let i(r) = -r**2. Let q(g) = g**3 - g**2 + g. Let v(s) = p*i(s) + q(s). Find the second derivative of v(k) wrt k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1081 is divided by 155?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*q - 27*q + 96. Suppose 4 = -3*n + 7, 3*i = -5*n + 53. What is the least common multiple of i and q?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n - 735 - 2*n - 711 + 3*n.\nAnswer: 7*n - 1446","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a century in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-4)*-2*(-252)\/((-54)\/9)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 278 + -247. Does 12 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -149.\nAnswer: -149, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**3 - 3*d**3 - 3*d**3)*(-d + 12 - 16 + 0*d).\nAnswer: 8*d**4 + 32*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -8. Let g be 6*(m - 6\/(-9)). Suppose g*w = -4*b - 436, -4*b - 101 = -3*b + 5*w. Round b to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) -2 (c) 0.2 (d) 8\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 121120 - -2?\nAnswer: 121122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 6*i + i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -41306 and 1?\nAnswer: -41306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66)\/10*650\/(-390)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 - -16. Let n(q) = -q**2 + 4*q - 2. Let b(j) = -3*j**2 + 11*j - 6. What is t*n(g) + 6*b(g)?\nAnswer: -g**2 - 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = 2*f - 41 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 15*q + 39 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 + 2*o - 5. What is the units digit of x(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13635 - 1008*n + 13635 + (-2*n + 0 + 0)*(1 + 2 - 2) as d + w*n and give w.\nAnswer: -1010","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) -3 (b) 2\/9 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 103739\/27 - 3840. What is the common denominator of f and ((732\/10)\/(-3))\/(-7 + -5)?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 38 = -3*i, 4*q - 1 = 2*i - 5. Suppose 16 = i*m - 2*m. Determine x so that -m*x - 6*x + 8 + 0*x**2 + 2*x**2 + 0*x**2 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -12 - (-5)\/((-5)\/3). Let n = -12 - s. Suppose n*a = 4*a - 3. Solve 0 = -2*u - a - 7 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 1:02 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2150.9737 and 1.1.\nAnswer: 2366.07107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -216484, -216483, -216480, -216475, -216468?\nAnswer: -216459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6926975 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -3c7?\nAnswer: -3c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 7:04 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 9, 89, -0.5.\nAnswer: -1, -0.5, 9, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1300 and -1.97?\nAnswer: -2561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14 - -1?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 47*j**2 - 49*j + 54. Let d be c(48). Let y(h) = -h**2 + 7. Determine y(d).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 861*w**5 + 24*w**4 + w**3 + 103158*w**2 - 4*w wrt w.\nAnswer: 51660*w**2 + 576*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**3\/7 - 442434*i**2\/7 - 3495465618*i + 24468701762\/7 = 0.\nAnswer: -110609, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/4)\/((-30)\/60)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 + (-15593)\/403 - (-14 + 1).\nAnswer: 30\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dylyqydy. What is prob of sequence ql?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 0 + 1 + 17*v in the form r*v + p and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243 = -11*d + 210 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -g + 5*g - 25, -4*g = j - 21. Suppose f = g*f - 228. Suppose 0 = 4*d - f - 19. Calculate the remainder when 74 is divided by d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3405)\/(-19295) - (-980)\/34\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 576 and 78161328.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*m**2 - 4*m**2 - 10*m**2 + 11.\nAnswer: -6*m**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 + 20. Is 12 a factor of (-6)\/(-2) + g\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*t**3 + 23*t**3 - 93*t**3 + 38*t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 4:03 AM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 + 70 = -3*s + 2*z, -2*z = -2*s - 10 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 2 = -3*t. Suppose 7*w + 46 - 67 = t. What is the greatest common factor of w and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 183338 + -3116748\/17. Let q be -1 - 0 - 8\/(-2). What is the closest to -0.5 in l, q, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 48311366, 48311355, 48311344, 48311333, 48311322, 48311311?\n\"Answer: -11*o + 48311377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/2 - (0\/(-12) + -10). Suppose 1009 = c*a - 944. Is a a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, j: 3, m: 4, v: 5, o: 1, q: 1}. Give prob of picking 1 j and 1 q.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 7*i - 8. Let j be t(-6). Find the common denominator of ((-14)\/(-30))\/(j\/(-51)) and 151\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -5*u**3 + 101*u**2 + 155*u - 174. Let p(q) = -3*q**3 + 52*q**2 + 78*q - 87. Let b(w) = -4*j(w) + 7*p(w). Let l be b(-38). Solve 2*v + l = 15 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from swurf. What is prob of picking 1 r, 1 u, and 1 w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 9880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -327 + 740. Is m smaller than 413?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14764318?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0 (b) -15\/28 (c) -3 (d) 4 (e) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1414 - -1418. Factor 112\/9*r**m + 22\/3*r**3 + 8\/9*r - 56\/9*r**2 + 0 + 32\/9*r**5.\nAnswer: 2*r*(r + 2)**2*(4*r - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2 + 7*s + 2*s + 11*s - 7*s wrt s?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -32 + 32 + 2168*n**5 + 2142843*n**2 - 2146029*n**2 wrt n.\nAnswer: 130080*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 521 = 19*j - 201 for j.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -672913 + 672913 + 3*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*b - 654 = -25*b. What are the prime factors of b?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 4:19 PM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-88)\/165*-15*(-6)\/72.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b - 167 = -m, m - 950 = -5*b - 810 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-1345)\/(-25) - 15)\/((2\/135)\/2)?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1498 and -0.517.\nAnswer: -1498.517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -9*i + 21. Let m be (100\/125)\/(2\/140). Let t be 8\/m + (-144)\/(-21) + -5. Let d(g) = g - 2. What is t*j(c) + 21*d(c)?\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3548376 and 708?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 + 642*q.\nAnswer: q*(q + 642)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/3 + -7 + 2. Let h(o) = -2*o**2 + 2*o + 3. Determine h(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of 23*k**6\/360 + k**5\/60 - k**4\/24 - 34*k**3\/3 + 22. Let s(m) be the third derivative of t(m). Calculate s(1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 36*i - 15. Let q be w(2). Let j be q\/(((-4)\/14)\/((-4)\/6)). Let r = 125 - j. Sort 0, 2, r.\nAnswer: r, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-28)\/21 - 5) + 6)\/((-28)\/(-120))\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 12:12 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g - 2*g - g)*(-21 - 20 - 3) - g + 0*g + 2*g - 4 - g + 4 in the form m + q*g and give q.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(-25) + (-96)\/(-20). Let w(d) = -2*d**2 + 6*d - 6. What is w(y)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 5*n**2 - 20*n + 2. Let m(k) = -k**2 + 8*k. Let u(q) = c(q) + 3*m(q). Let l(g) = -g**3 - g**2 + g - 2. Let s be l(0). Give u(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + a + 1. Let h(w) = -20*w**2 - 32*w - 6. Let b be (-3 + 5 + -3)\/1. Let g(v) = b*h(v) - 6*k(v). What is the second derivative of g(l) wrt l?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8 + 9 + 28*g - 31 wrt g?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7, 5, 7, -7, -43, -107, -205?\n\"Answer: -a**3 + a**2 + 16*a - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/(-18)*(1 + -7). Suppose -f*q = -q + 9, 5*k = 3*q + 19. Suppose k*h - 8 = v, 3*h = 5*v - 10*v - 14. Solve 4*c = -h + 14 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of -4*m**4\/3 - 5*m**3\/3 + 7*m**2 + m - 16. Let r(c) be the first derivative of n(c). Find the first derivative of r(j) wrt j.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1297.29946335 + 1297.3. What is a rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -33) + (-108843)\/6132 - 12.\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.04468 + -26.71468. Let o = 27 + z. Let i = -0.13 + o. Put -2, i, -0.5 in decreasing order.\nAnswer: i, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 5*n - 2. Let d be q(4). Let y(k) = -67*k - 5. Is y(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 5:58 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 7*p**3 + 193*p**2\/2 + 145*p\/2 + 13 = 0?\nAnswer: -13, -1\/2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 469748 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26051181?\nAnswer: 3, 13, 51383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(171)*2*-5)\/(sqrt(1089)*2 - sqrt(1089) - (sqrt(9) - sqrt(63)\/(sqrt(14)\/sqrt(2)))))**2.\nAnswer: 1900\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7\/12 - 2\/6. Let k = 706 - 701.19. Let l = -0.81 + k. What is the second smallest value in m, -1\/6, l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -17. Let f be (22\/(-165))\/(3\/10). Sort f, c, -2\/5 in decreasing order.\nAnswer: c, -2\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 6*i**2 + 4*i + 7. Let o be r(5). Let f = -1 + o. Suppose -2*u = -5 - f. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700) - (1*(sqrt(1700) - sqrt(1700)*-2) + sqrt(1700))) + 2 + (sqrt(2057) + (sqrt(2057) + 1)*-4 - (1*sqrt(2057) + 5)))**2.\nAnswer: 1036*sqrt(17) + 93141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 2*b + 20. Calculate the remainder when 0 - 0 - (-24 - 3) is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rcu when three letters picked without replacement from rrurcrcrcrruu.\nAnswer: 21\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188054319.\nAnswer: 3, 107, 585839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31437 - -65254. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158515.\nAnswer: 5, 7, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1055*z + 1047*z - 48 = 0 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1113443 (base 6) to base 8.\nAnswer: -156343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = w - 4*t, 23*w - 21*w - 3*t = 22. Solve -3*i + 4*k + 11 = 2*i, 4*k = 2*i - w for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 18 = p, 4*p = -3*x + x + 2. What is the nearest to 0.1 in p, 5, 3, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1334640.\nAnswer: 2, 3, 5, 67, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of -j**5\/4 - j**3\/3 + j**2 + 9*j. Let q(z) = -11*z**3 - 5*z + 5. Give 3*q(s) - 7*u(s).\nAnswer: 2*s**3 - s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 5:23 AM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -42 - -17. Let w = y + 24.9. Let u = 0.1 + 0.2. Which is the nearest to w? (a) -4 (b) u (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199*t + 7164 + 7082 = -2529 + 457 for t.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 69315 to the power of 1\/2, to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 to the power of 1\/10, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 166889 and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nxnxnnxnnnnxnn?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 23*b**2 - 10*b - 2. Let f be r(-14). Suppose 1397 = 3*l - f. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126*b + 245*b + 15486*b**3 - 119*b.\nAnswer: 15486*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express g**2 - g**2 + 2*g**2 + (6*g - 4*g - 4*g)*(g + 3*g - 5*g) + 2*g**2 + 0*g**2 + 0*g**2 - 225*g**2 + 152 - 152 as m*g + l*g**2 + f and give l.\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 624 and 143.\nAnswer: 6864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of r**5\/180 - r**3\/18 + 3*r**2\/2 - 2. Let x(f) be the second derivative of u(f). Suppose x(j) = 0. Calculate j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/7, -1300, 1\/3 in descending order.\nAnswer: 1\/3, -6\/7, -1300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.08 + -0.92. Let c = l + -2.3. Let i = c + 3. What is the second smallest value in -3, i, -0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 58\/29 + (-1)\/(-2)*4. Let b(v) = 154*v**2 - 24*v - 4. Let h(i) = i - 1. Let z(a) = y*h(a) - b(a). Find the second derivative of z(n) wrt n.\nAnswer: -308","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5410760.89 to the nearest 1000.\nAnswer: 5411000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.023 + -31.48?\nAnswer: -31.503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 196 + 0?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -55.8 + 71. What is x rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, b: 2, p: 2, n: 4}. What is prob of picking 1 b and 1 n?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4357 + 6168. List the prime factors of h.\nAnswer: 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1392 at least 1384?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -15259820 divided by -3814955\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 660*n + n**2 + 2*n**4 - 809212 - 2*n**3 - 7*n + 809209 to the form t*n + x*n**3 + m*n**2 + w + l*n**4 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 7569?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, t: 1, x: 4}. Give prob of sequence to.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 w when two letters picked without replacement from {e: 1, w: 2, d: 4, t: 5, z: 2}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37483 + 300511\/8. Let j = r - 81. What is the smallest value in j, 2\/5, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -786.\nAnswer: -5\/786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y + 5. Let z be b(3). Let v be 11268\/48 - (-3)\/z. Suppose v = k + 2*k. What is the remainder when k is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*h + 360 = -599 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2\/223, -5 in descending order.\nAnswer: -2\/223, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (4 + 6 - 9) - (-2 + 6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 10*w**2 + 6*w. Let u be h(-10). Let o = u - -167. Factor o + 112 + 4*s + 2*s**2 - 225.\nAnswer: 2*(s - 1)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -15, 2\/15, 1\/2, 1\/234, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.71 - 4.29. Let f = -8 - -8.3. Which is the closest to 2? (a) n (b) f (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000362874 rounded to 6 decimal places?\nAnswer: -0.000363","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 344147339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 31572 (base 12) in base 14?\nAnswer: 19846","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 63 = 3*w, -4*w - 4*m - 72 = -7*w. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, g: 1}. What is prob of sequence qg?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -5*q**6\/6 - 107*q**5 - 14035*q**4\/4 + 15115*q**3\/3 + 7020*q**2 - 14580*q - 781. Find n, given that s(n) = 0.\nAnswer: -54, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 5:41 PM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(448) + 1 + -5 + sqrt(448).\nAnswer: -4 + 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -1309?\nAnswer: 1305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 852651?\nAnswer: 3, 211, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = -72*n - 28 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -111*o**5 + 115*o**2 + o.\nAnswer: -6660*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1216) + -1)*-2 + 5*sqrt(2736)*-2)**2.\nAnswer: -544*sqrt(19) + 351428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1795 - 1795.1614. Let m = 0.099 + d. Round m to 3 dps.\nAnswer: -0.062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -1 + 0*z + 0*z**2 - 3*z - 5*z**2 + 4*z**2. Suppose -3*q + 0*c - 160 = -c, -4*q - 245 = 5*c. Let o = q - -52. Give t(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 - -5 - 0\/1. Suppose 5*v = -6*x + 2*x + 260, x + m*v - 68 = 0. Let f = -40 + x. What is the highest common factor of f and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 20*t + 16. Determine r(19).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 4*b**2 - 2. What is l(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 207 and 695727.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3445 a multiple of 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 105, 10 in descending order.\nAnswer: 105, 10, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 6:03 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -800, -1603, -2406, -3209?\nAnswer: -4012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1))**1\/(k**(-1\/5))**(-32) assuming k is positive.\nAnswer: k**(-37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5281273, -5281281, -5281289, -5281297?\n\"Answer: -8*g - 5281265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of q**4 - 765*q - 109*q - q**4 + 182*q**5 wrt q.\nAnswer: 3640*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243023 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(21402543\/(-21401988) - -1). Let d = x - -38562. What is the common denominator of d and 14\/11?\nAnswer: 2035","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l\/l**2)\/l)**(1\/4)\/(l\/l**(2\/23)*l*((l*l*l**(2\/7))\/l)\/l)*((l**(-2\/5))**(-22))**(-1\/5) assuming l is positive.\nAnswer: l**(-67761\/16100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 94304748 a multiple of 1824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 6:29 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -0.2 (b) -347 (c) -2\/35 (d) -0.3 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*x**3 + 30*x**3 - 54*x**3.\nAnswer: 30*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/172 and -15\/3514.\nAnswer: 302204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 164965.0101871 + -164965. Let b = r + -0.0103. Round b to 5 decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 + 0.2. Let m = -4 - -1. Let v = 1.9 + -1.7. What is the nearest to 3 in m, v, h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100111111010010000 - -101?\nAnswer: 10100111111010010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20324, 2, -3 in increasing order.\nAnswer: -20324, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.1 (b) 4 (c) 0.03 (d) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 8*o**2 + 5*o - 25. Calculate u(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*q = -21*q + 44*q + 924 for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*c**3 + c**2 - 48157*c - 1420870 wrt c.\nAnswer: 18*c**2 + 2*c - 48157","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8512 and 342.\nAnswer: 76608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 152215597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/76*-1*((-4576)\/(-52))\/22?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1476 and 5748?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s**2 - 19*s + 37. Let f be q(2). Calculate the common denominator of 17\/4 and 5\/f*((-144)\/30)\/6.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, g: 6}. Give prob of sequence gbg.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/5, 3, 15104, 1\/11, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 884997.\nAnswer: 3, 107, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62466, 124947, 187436, 249933, 312438, 374951?\nAnswer: 437472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 872, 3219, 7164, 12707?\nAnswer: 19848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 6. Suppose r*d = d. Suppose d*m = -3*m + 33. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 0.041?\nAnswer: 0.205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 4*x = 29, 2*t - 6 = -5*x + 9*x for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 20\/9, 4 in decreasing order.\nAnswer: 4, 3, 20\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -35*d**2. Let h(x) = -3*x. What is h(u(p))?\nAnswer: 105*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 7) to base 6\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**0\/g)**(2\/3)\/(g*g\/g**(-7\/2)*g\/g**(5\/3)*g*g))**(-1\/21) assuming g is positive.\nAnswer: g**(5\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: 14080222 - 182463\nAnswer: 13897759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 675458?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 13*v**2 + 10*v + 1. Let p(i) = 13*i**2 + 8*i + 1. Give 3*p(o) - 2*y(o).\nAnswer: 13*o**2 + 4*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 3*d + 12. Let p be u(5). Suppose 4*i + 8 = l, 0*i - i - 23 = -p*l. Does 6 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**2 - 96792*y**3 + 96788*y**3 + 7 + 0*y**2 + 2*y to p*y + x + n*y**3 + d*y**2 and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(27) + -3))**2 + 4.\nAnswer: -450*sqrt(3) + 904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -r + 1, r - 3*r + 3*z = 3. Let u(p) be the third derivative of p**4\/24 + p**3\/6 + p**2. Determine u(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*j - 488967 = 16*q - 15*q, 3*q = j - 32589. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 36 - 5*z**2 - 36 - 4*z**2 + 0*z**2 + 2*z**2 + (z**2 + 0 + 0)*(-3 + 2 + 0) - z + z - 2*z**2.\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/13 (b) 10\/17 (c) -0.5 (d) 120\/487 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 2 + 37*q - 6 as p + r*q and give r.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*g - 15 = 61*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, m: 3}. Give prob of picking 2 m and 2 y.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2123*z - 6. Let j(o) = 6*o + 1. Determine -a(s) - 6*j(s).\nAnswer: 2087*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 8869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 25, -2*b - 4 = 5*q + 1. Calculate the smallest common multiple of b and 34\/4 + (-3)\/(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7295?\nAnswer: 5, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**(-4\/9))*f*f\/f**4)\/(f**(2\/17))**(-38) assuming f is positive.\nAnswer: f**(446\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**3 - 20*q**2 - 6*q + 23. What is the tens digit of o(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (11 + -11 + 24)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**0\/w))**(-41))**(7\/2) assuming w is positive.\nAnswer: w**(-287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.6 + -0.9. Let n = -292.879 - 0.121. Let m = n - -290. Which is the second biggest value? (a) 0.5 (b) u (c) m (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 - ((-33 - -85) + -50)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -20 and 12569486.\nAnswer: -251389720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**2 + 80*s - 325. Give k(36).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 255 and 204.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 0 - -1)\/(-1). Suppose -6*o = -3*o. Suppose b - t = 11, -5*t - 7 = -b - 0. Solve 4*x + o*x + b = y for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 654148761.\nAnswer: 3, 7, 151, 206291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c**5 + 157931*c**4 + 1220033*c**2.\nAnswer: -120*c**2 + 3790344*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 643412 - 2142592 = 0. Let s = j + -199295. Round s to the nearest ten thousand.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven sixteenths of a millennium?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**3 - 66*f**2 + 12*f + 255. Let y be k(-33). Which is smaller: y or 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 PM and 4:45 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -5*n - 6. Let r(w) = -w - 3. Let t(g) = 3*r(g) - x(g). Let a(b) = -b. Let q(s) = -3*s + 2. Let j(d) = 2*a(d) - q(d). Calculate 6*j(z) - 4*t(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001697079613 to 7 decimal places.\nAnswer: -0.0016971","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence krr when three letters picked without replacement from {c: 2, r: 1, x: 1, k: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g. Let f be q(4). Let k(p) = p**2 - 2*p + 6. Calculate the smallest common multiple of 0 - (108\/(-57) + f\/38) and k(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (-5 - (-1 + -9))) + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 53530 divided by -1\nAnswer: -53530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -89*a**6 + a**4 + 1473*a**2?\nAnswer: -10680*a**3 + 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40.3 + -21.26. Let p = -19 + i. Suppose d + 0*d = 4. Which is the third biggest value? (a) -5\/2 (b) d (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4\/11)*t*t**(2\/17)\/t)**0*(t**2\/t)**(-3\/7)*(t*(t\/(t\/t**(4\/3)*t*t))\/t)\/t**6 assuming t is positive.\nAnswer: t**(-149\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 n when two letters picked without replacement from {w: 3, o: 2, n: 10, j: 3, q: 1}.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 3*b**3 + 0*b**3 + 1275*b**4 + b - 1267*b**4 in the form s + x*b + l*b**3 + u*b**2 + d*b**4 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 4*n - 5*n)*(-20*n - 12*n + 15 + 29*n).\nAnswer: 6*n**2 - 30*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -17*h. Let q(k) = -854*k**2 - 836*k**2 + 1664*k**2. Give w(q(i)).\nAnswer: 442*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 4 - 2*b + 2 + 5 - 3*b**3 to the form h + j*b**2 + w*b + n*b**3 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -14*f. Let w be i(-2). Let l = w - 48. Let u = -13 - l. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9172?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1334606.\nAnswer: 2, 7, 13, 7333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 538080.\nAnswer: 2, 3, 5, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(240))\/sqrt(10) + (sqrt(264)\/(2*sqrt(11)) - sqrt(24)))\/(sqrt(24)\/(sqrt(6)\/sqrt(2)) + sqrt(8) + -4*sqrt(128) + sqrt(8)).\nAnswer: -sqrt(3)\/26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*b + 34*b = 72. Calculate the remainder when b is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3 + 9 = 2*f, 22 = -3*i + 2*f. Let c(s) = s**2 - s - 1. Let n(o) = -13*o**2 - 3*o - 4. Give i*c(t) + n(t).\nAnswer: -17*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-81)\/(-180)*(-10)\/(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(7)*-6 + 4 + 4.\nAnswer: 8 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -22113100212 (base 4) in base 12?\nAnswer: -ab0206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19571819?\nAnswer: 31, 769, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-6*(-1)\/(-4)). Suppose -n + 3*m + k*m + 29 = 0, 2*m = 4*n - 26. What is the highest common factor of 44 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6484910 (base 10) to base 4\nAnswer: -120233032232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2964, 5894, 8794, 11670, 14528, 17374?\n\"Answer: l**3 - 21*l**2 + 2986*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2084 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 51 in 1188, -7, -0.2, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -169578\/17 or -3.5?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 91881422 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 746778 is divided by 115.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3*a = 3, 0 = 4*a - 7 + 11. Suppose w = -6*z + 3137 + 2587. What is the hundreds digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*p - 40 = -4*z - 121*p, p = -5*z + 31. Sort 0.2, -0.13, -5\/4, z in decreasing order.\nAnswer: z, 0.2, -0.13, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 447399257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a year in months?\nAnswer: 162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -101, -91, -83, -77, -73?\n\"Answer: -v**2 + 13*v - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43 + 40.1. Let j = 0.1 - m. Let x be (-1 - 3) + (5 - -1) - 4. Sort x, j, -4.\nAnswer: -4, x, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 1:01 AM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -9*j - 4*s + 1562, 0 = -2*j + s + 1567. What is the greatest common divisor of 29 and j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 759212879, 1518425757, 2277638635, 3036851513, 3796064391?\n\"Answer: 759212878*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + (17 + 0)*1. Suppose 9 = -s - 1. Let t = s + p. Is 6 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -299.9715 times -8\nAnswer: 2399.772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/1885048 and -25\/13156.\nAnswer: 563629352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 10:07 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + 0. Let s = -7 + u. Solve 5*h - 23 = s*y + 9, 0 = h + 5*y + 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -83*s**2. Let q(b) = 78*b - 169*b + 79*b. Give u(q(o)).\nAnswer: -11952*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -10, -102565, 0, -5.\nAnswer: -102565, -10, -5, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 121 - 128 = -m, 0 = -d + 3*m + 29 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 2*k + 6. Suppose 0 = -p - 3, -2*v - 2 = -k*v + 2*p. Is v greater than or equal to -3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 341960 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i + 1. Let f(m) = 5*m + 5. Determine -f(x) + 3*z(x).\nAnswer: -8*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 2 + 1)*(2*x + 2*x - 3*x) + 4*x - 4 + 4 + 8*x - 2*x - 2*x)*(x**4 + 5*x - 5*x).\nAnswer: 10*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than -0.8113?\nAnswer: 1.1887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**5 - 35498*p**4 - 157175798*p**3 + 2997923602*p**2 - 5524177808*p + 2683465504 = 0. What is p?\nAnswer: -8884, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, 0.9, 1\/3, 0.44, 8 in decreasing order.\nAnswer: 8, 0.9, 0.44, 1\/3, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 3 + 1. Suppose j - 9 = -4*n, 59*j = -3*n + 63*j + 21. Sort -19, l, n in ascending order.\nAnswer: -19, l, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/336 and -39\/10346833?\nAnswer: 496647984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/2 - -3*22. Suppose 2*s - v = 3*c, -c + 2*s + 4 - 20 = 0. Let k = c + 28. What is the remainder when 10 is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-2)\/7*8*(-1316)\/376.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 1. Let s = -480.05 - -480. Which is the second smallest value? (a) s (b) j (c) 3\/2 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*g**2 - 80*g**2 + 62*g**2 - 73*g**2 - 130*g**2.\nAnswer: -229*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3d (base 14) to base 16\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - -1*(4 - 5). Let v be -4 - (4 + -11)*y. Suppose -3*p + 3 = -3*h, -5 = -2*p + v*h + 2*h. Let s(n) = n**3 - n + 3. What is s(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 936*p - 485*p + 400 = 467*p. Solve -26*j + p*j = 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 2127516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6201772*u**4 - 262*u + 5747.\nAnswer: -74421264*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6*(-6 - (-17)\/3). Suppose l*j = 2518 - 888. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1427 + 1443*r**4 + 1110 + 193 + 894*r**4 wrt r.\nAnswer: 9348*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/5 or 30097363?\nAnswer: 30097363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-21 - -25 - (0 - -7))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w + 12, -5*f + 5*w = 2 - 47 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1136833 is divided by 1136545?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 125129440?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w - 28*w = -12876. Suppose -t + 2*g = -507, -t - 4*g + 165 = -w. List the prime factors of t.\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -4*d - d. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 35 = -5*k, -k + 37*p + 31 = 32*p for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.27304953 rounded to 3 decimal places?\nAnswer: 21.273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7893 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 133\/(-1368) + (60\/27 - 2)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = o + 4*a, -a + 3*a = 2*o - 16. Suppose 36 = -o*r - 24. Let n = 20 + r. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -6*x. Let r(d) = 10*d**2 - 2. Determine r(h(y)).\nAnswer: 360*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187549*l - 4566 = 187458*l + 6081 for l.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45 - 36. Suppose -5 = 5*r - 5*k, -11 = f*r - 6*r + 5*k. Let l be r*((-14)\/8 - 2\/(-8)). Calculate the greatest common factor of l and 30.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*c = 38*c - 90. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, 0, -16 in descending order.\nAnswer: 4\/7, 0, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*b**5*k - 2*b**4*k*p - 2*b**3*k + 71*b**2*p + b**2 - k*p wrt b?\nAnswer: 660*b**2*k - 48*b*k*p - 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (-13)\/(247\/(-532)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33*t**3 + 371*t**2.\nAnswer: -198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.02147 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/8)\/(((-14)\/12)\/(-7)). Suppose 2*u + 3*h = -32, h + 344 - 373 = 5*u. Sort 2, u, w in decreasing order.\nAnswer: w, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 5*c = 22, 4*k - 8 = -34*c + 32*c. Solve -4*f - 7 + 19 = -2*m, -5*m = f - k for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -129.9 rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 24 = 2*g, -4*t - 4*g = -7*t + 42. Suppose u = -5*r + 40 + 20, 94 = 2*u - 3*r. Calculate the remainder when u is divided by t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**7\/d))**(-20)\/(d*d**(-2\/5)\/d)**(-5\/16) assuming d is positive.\nAnswer: d**(799\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c + 28*o - 33*o - 26, 0 = 3*c - 2*o + 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 10101111101110 (base 2) to base 13\nAnswer: 5171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -195221000 to the nearest one million.\nAnswer: -195000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 8*g**2 - 4. Let a be b(8). Let i be -5 + 6 - (a + 2). Solve 2*l - i = 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -14, -193, 0, -5, 91 in decreasing order.\nAnswer: 91, 5, 0, -5, -14, -193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 4) to base 14\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21.6 - 270.4. Let d = 292.1 + o. Which is the nearest to -2? (a) d (b) -1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 781 is divided by 87?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 6 - (-1 - 4 - (17 - -7)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -42, -70, -98, -132, -178, -242, -330, -448?\n\"Answer: -o**3 + 6*o**2 - 39*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2583338 is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -2\/5 (b) -0.1 (c) -3413 (d) -0.8 (e) -42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (-18 - (-9 - -13 - 5)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/1*(-6 + (-188)\/(-28)). Suppose -s - 3*c = -119 - 19, v*c - 434 = -3*s. What are the prime factors of s?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1365047?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 0 + (-5 - -5). Suppose 0 = -g - s*g. Suppose g*m = -2*m - 12800000. Round m to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3178*t - 3. Let k(x) = 68*x + 1. Determine k(r(o)).\nAnswer: -216104*o - 203","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-2\/5))**(1\/50)\/((v**(1\/5)\/v)\/(v**(-3)*v)))**17 assuming v is positive.\nAnswer: v**(-4981\/250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 192 = 5*p. Does 6 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-14\/5)\/(q\/(q\/(((q**(1\/11)\/q)\/q)\/q))))**(-2) assuming q is positive.\nAnswer: q**(-12\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 767?\nAnswer: 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4*p - 25. Let r be l(4). Let a = 28 + -14. Does 13 divide -1 + -2 + (a - r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77659 to the power of 1\/2, to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 24\/74915 and -88\/45.\nAnswer: 674235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r + 2*r - 2*r + 5*r + 2*r.\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -106*w**3 - w + 105*w**3 + 5 + w. Suppose 0 = 5*h - 8 - 2. Suppose -h*l = -l. What is b(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2 (b) 1.2 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183 = -8*f - 273. Let v = 65 + f. Solve 3*q - 4 = v for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b7705 (base 12) to base 10.\nAnswer: 738869","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43 + -127\/3. Let r = -195022203\/1393 + 140001. Let n = r + 2\/199. Which is the nearest to j? (a) -0.5 (b) n (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/6)\/((-4)\/(-12)). Let t(v) = v**3 - 5*v**2 + 4*v - 6. Let q be t(4). Let b be ((-2)\/q)\/(1\/9). Put p, 4, b in descending order.\nAnswer: 4, b, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4*s + 207. Determine b(-15).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -p**7\/420 + p**5\/20 + p**4\/6 - p**3\/6 + 2*p**2. Let t(l) be the first derivative of w(l). Factor t(u).\nAnswer: -2*(u - 2)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of z**2\/2 + 21. Let q(p) = 26*p**2. What is q(t(w))?\nAnswer: 26*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hoxhwxeoxxhoxwxoorr. Give prob of picking 1 w and 1 h.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i. Let u be k(6). Let x = 9 - u. Suppose 5*s = -p + 35, x*s - 2*s = -2*p + 52. Is p a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3\/2 (b) 0.203 (c) -2\/7 (d) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*n + 46*n - 154. Calculate the remainder when 141 is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -162 + 122. Let q(v) = -9*v - 2. Let y be q(2). What is the lowest common multiple of (y\/6)\/((-1)\/3) and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 18 = -2*v, 4*w + 32 = 13*v - 17*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.07983 times -1.1\nAnswer: -0.087813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/240 and 1\/792.\nAnswer: 7920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14302 - 14302 - 4697*v to f + w*v and give w.\nAnswer: -4697","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 246 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 24 = 4*v - 0, -v = m - 5. Suppose -2*f + 2 + 0 = k, -v = 3*f + 4*k. Solve 4*r - 2*r + y - 7 = 0, r = f*y for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31)\/(3720\/288)*(-2)\/60?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.189 + 7.189. Which is the second smallest value? (a) 0 (b) 2\/19 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 99 and 1551.\nAnswer: 4653","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12288654 divided by -21.\nAnswer: 585174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (16\/(-6) - -2)*6. Let f be (-2)\/t*(-1 - -11). Let d be (24\/150)\/((2\/(-15))\/(1\/(-3))). What is the second smallest value in f, 0.08, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 29874944 and 339488?\nAnswer: 29874944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12844 divided by -247.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) 17 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = 7 + 17. Sort b, -4, 0, -3.\nAnswer: -4, -3, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -364 = -66*t + 1087 - 263 for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - j - 5546 = 0, 0*h = 5*h + 4*j - 9215. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.055 + -8774441.\nAnswer: -8774440.945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 3*x**2 - x + 2. Suppose 6*v - 5*v = -2. Give f(v).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**2 + 670*v**3 - 3*v**2 + 2*v**2.\nAnswer: 670*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 532*x**2 + x - 26. Let p(b) = -532*b**2 - 2*b + 39. Determine -3*c(i) - 2*p(i).\nAnswer: -532*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 2:52 PM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -399\/220 + 15\/11. Suppose 0 = 39*d - 52*d + 195. Find the common denominator of u and (-55)\/(-132)*159\/d.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 568924 and 10?\nAnswer: 568914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 133 + 414310?\nAnswer: 414443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 times -2396429\nAnswer: -71892.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/6*(-33)\/((-4158)\/(-28)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-66) - 560\/77) + 6 + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312005 is divided by 743?\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 668*o + 8852 + 1168 = 0 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27962 + 69756. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176068 is divided by 5268?\nAnswer: 2224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4139 = -6*c - 4091 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b + 34*b - 37 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 73 + -64. Calculate the remainder when n is divided by (0 - 5)*8\/(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 376641642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -4*(sqrt(304) + -2 + 1 + -5) + 0)**2.\nAnswer: -672*sqrt(19) + 5305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + b - 1. Let t(y) = y + 6. Let j(v) = v + 2. Let p be j(-11). Let s = p - -1. Let u be t(s). Calculate m(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -1 - 27*a**2 + 21*a**2 + 1. Let p(h) be the third derivative of 0 + 6*h**2 + 0*h + 0*h**3 + 1\/24*h**4. Calculate r(p(b)).\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 22.306 - -0.2\nAnswer: 22.506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -v**4\/26 + 8*v**3\/39 + 11*v**2\/13 + 12*v\/13 + 7. Factor d(n).\nAnswer: -2*(n - 6)*(n + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*6*(-4 + (-5 + (sqrt(363) - (sqrt(363) + -1 + sqrt(363))))*6) + 2 + 1)**2.\nAnswer: 1204632*sqrt(3) + 4491081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*o**2 - 3*o**2 - 2*o + 588 - 10*o**2.\nAnswer: -23*o**2 - 2*o + 588","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -824505 (base 11) to base 12.\nAnswer: -539ba0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.25 - -0.09. Let f = h + -0.04. Suppose 0 = -5*g + 14 + 11. Which is the biggest value? (a) g (b) f (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -742 and 3.\nAnswer: -2226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from efefvmvmifee. What is prob of picking 1 m and 3 e?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 4799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4*q**2 - 358*q - 185. Let w be u(90). Let p(j) = 17*j + 64. Give p(w).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - z + 45742644 - 9742644 = 0, -4*z = -2*c + 14400000. Suppose -3*n = -6*n + c. Round n to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = 7*v - t - 4, 2*t = -4*v + 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223*l - 183*l = 400 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v - 85 + 82 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39 + (-2795)\/4225*60?\nAnswer: -9\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 9:57 AM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5\/1039 - -1159\/24936. Let t(y) be the second derivative of -v*y**4 + 4*y + 0 - 7\/12*y**3 - 3\/2*y**2. Factor t(u).\nAnswer: -(u + 1)*(u + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*f + 116*f - 750. Let o(g) be the first derivative of -1\/24*g**4 - 10 + 1\/30*g**f - 1\/18*g**3 + 1\/36*g**6 + 0*g + 0*g**2. Factor o(j).\nAnswer: j**2*(j - 1)*(j + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 56*g**2 + 169*g - 470. Calculate v(-59).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*(11 + -2 + 1). Let n be 28\/(-15) + (-4)\/u. Let a = n - -55. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -722.929 to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(3*sqrt(78) + sqrt(78)) + (sqrt(78)*3 + sqrt(78))*4)\/((sqrt(198)\/(sqrt(11)*-1))\/(2*sqrt(6)\/sqrt(2)))*3)**2.\nAnswer: 269568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(384) - sqrt(24))*-1)\/(sqrt(36)\/(sqrt(3) - (sqrt(3) - sqrt(33)\/sqrt(99)))).\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 407494062 a multiple of 3681?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -515 + -13?\nAnswer: -532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 375 - 378. Let i be (-1 - (-1686)\/(-4))\/(u\/(-3600)). What is i rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -3*p**5\/4 - 2613*p**4\/4 - 153051*p**3\/4 + 1522029*p**2\/4 - 2265849*p\/2 + 1060398 = 0.\nAnswer: -807, -73, 2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/56*288\/108?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + 4 + 8 - 13 - -10?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)*1 - sqrt(9))\/sqrt(108))**2.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g - 9*g + 3*g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(2880))\/sqrt(9))**2.\nAnswer: 1280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 461043 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-58)\/319)\/((-28)\/(-44))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6774, -13547, -20322, -27099, -33878, -40659?\n\"Answer: -d**2 - 6770*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*w**3 + 4*w**3 - 4*w**3 + (-3 + 3 - 3*w + (3 + 7 + 2)*(w + 5*w - 5*w))*(w - w + w**2) + 1 - 1 + 2*w**3.\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 137829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28583980 + 42383972. Suppose 6*c - 2*i = 3*c + 20699992, 0 = -2*c + 2*i + s. Round c to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**3 + 0*y**3 + 0*y**3 + 14*y**3 + 9*y**3.\nAnswer: 21*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -131013 (base 4) to base 7.\nAnswer: -5301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43 + -20. Let f(q) be the second derivative of q**5\/20 - 23*q**4\/12 + q**3\/6 - 2*q**2 - 552*q. What is the remainder when f(m) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of -n**3\/3 - 47*n**2 + 2*n + 121. Let j(l) = -l**2. What is j(b(w))?\nAnswer: -4*w**2 - 376*w - 8836","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 10. Let h be (-2031)\/(-13540) + 2\/(-5). Let u = 0.3 + 0.1. What is the closest to h in u, -1, l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -8203*k - 3173. Is m(-28) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/3744 and 71\/281463.\nAnswer: 27020448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from iiiiiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*c, -137*t + 139*t - 12 = 2*c. Solve 7*o + t = -10 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + (7 - 10) - (1 + 4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 82*j - 84*j + 4, -29*o + 2*j - 7 = -26*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 - (-4 - -9))\/((-3)\/216). Suppose 77*m - z*m = 1945. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234 is divided by 60?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 3*w + 0*w)*(1 + w**4 - 1) + 0*w**3 - 2*w**5 + 0*w**3 - 116*w**3 + 116*w**3 - 60*w**5 - 3*w**3 + 3*w**3 + w**5.\nAnswer: -60*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 136a418 (base 12) to base 2.\nAnswer: 1110110001111111010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 176 = 4*z. Suppose -o + 931 - 996 = 0. Let u = z - o. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.59605809 - -5?\nAnswer: 4.40394191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/6 (b) -1 (c) -1\/5 (d) -59\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8894*z - 72 = 8912*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/21287 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 310155143 to the power of 1\/2, to the nearest integer?\nAnswer: 17611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/71? (a) -203 (b) 2\/17 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35897223, -71794421, -107691619, -143588817, -179486015?\nAnswer: -215383213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -2, 14\/9, 4, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18528321 and 723?\nAnswer: 723","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1121 and 608?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kmcmmmmmmmmmm. What is prob of picking 1 c and 2 m?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 8:57 PM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*l - 29*l + 6577 = -180*l - 13653 for l.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2004373 is divided by 62634?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 250836 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of 11*q**5\/30 - 11*q**4\/8 + 4*q**2. What is the second derivative of k(n) wrt n?\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*p + 3*x, -5*p + 3*x = 2*x - 12. Let v be p*(44\/(-8))\/(-1). Suppose 785 = v*y - 6*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - -94. List the prime factors of f.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -186232575 by -2.\nAnswer: 186232575\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 11) in base 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/312 + 0)*290 + (-93)\/(-13) + -7?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 42\/5 of a centimeter?\nAnswer: 84000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 57003.94 milligrams?\nAnswer: 0.00005700394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = -2*z + 2*g + 6, -15 = 5*g. Let b = 3 + -3. Suppose -x + 6*x - 130 = b. Calculate the remainder when x is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14375148197 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**3 + 13*s**2 - s - 2. Let t be v(4). Let p = t + -27. What are the prime factors of p?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.7 - -0.3. What is the smallest value in 3\/2, 0.5, m?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = d - 6, 13*o + 244 = -4*d + 163 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.088 and 4.3.\nAnswer: -0.3784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3487049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 1352*q + 2883. What are the prime factors of b(18)?\nAnswer: 3, 43, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2)\/((m*m*m*m*m**3\/m*m*m)\/m))\/((m**7\/m)\/((m\/(m*m*m**(-3\/2))*m*m)\/m*m))*(m**8*m**(-8))\/(m**(-1\/7)*(((m*m**(5\/4)*m)\/m)\/m)\/m) assuming m is positive.\nAnswer: m**(-353\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 36*h**2 + 27*h + 400. Let t be v(-11). What is the highest common factor of 13 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (14\/3)\/(-7*(-6)\/756). Let j(y) = -49 + 132 - 41 - 44 - m*y. Let q(u) = u**2. Determine j(q(a)).\nAnswer: -84*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4 - 16 = -2*m, -2*l + m + 3 = 0. Suppose 0 = -h - 2*h + 6. Let o(r) = -r - r**3 - r**2 - h*r**3 + 4*r**3 - l. Give o(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -3*o**2\/2 + o + 3024. Determine r(11).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110010111010 - 11?\nAnswer: 11110010110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.4 - 7.6. Let y = o + 6. Sort -0.5, y, 2\/13.\nAnswer: y, -0.5, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -32*p**2 - 4*p + 3. Let r(x) = 97*x**2 + 12*x - 9. Let f(o) = 17*j(o) + 6*r(o). Let d be f(1). Is 314685\/d - 6\/(-39) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 5, 1, 1\/4, -4, -38?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f. Let l(r) = 5*r + 1. Let v(i) = l(i) - 3*o(i). Suppose b = 5*y + 10, -3*y - 4*b - 29 = -0*b. What is v(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 e when two letters picked without replacement from rrreehokhojeoer.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/1544 and 27\/26.\nAnswer: 20072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17617 + 6355 = -45493*c + 45111*c + 1434 for c.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2 - 16*t + 3 - 1 + 4*t**4 wrt t?\nAnswer: 48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i - 4*i + 4*i + (11 - 16 - 7)*(0*i + 3*i - i).\nAnswer: -25*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 10*l**2 + 12*l + 53. Let t be m(-7). Suppose 462*i = t*i + 6. Let y(d) = -3*d - 7. Let u be y(6). Sort -4, u, i.\nAnswer: u, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 3*b + 4*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that h**2\/7 + 19146*h\/7 - 19147\/7 = 0.\nAnswer: -19147, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 13*r. Let u(p) = 7283 - 7283 + 26*p + 59*p. Calculate f(u(t)).\nAnswer: 1105*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/24*2)\/(2\/(-24)). Let o be (7 - 2) + 1\/((-2)\/t). What is the second derivative of -11*k - 9*k**3 + 6*k**3 - o*k - 3*k**3 wrt k?\nAnswer: -36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*t**3 - 19*t**2 + 2*t + 15*t**2 + 0*t**3 + 94 - 91 + 3*t**4 as h*t**2 + n*t**3 + b + x*t**4 + c*t and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-34)*n*n**43*n*n assuming n is positive.\nAnswer: n**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4015*f + o + 55 = 4024*f + 15, 3*f - 3*o - 28 = -f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1204690 and 4505.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -181\/1558050 and 99\/136.\nAnswer: 6232200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -38287, -34336, -30385, -26434?\n\"Answer: 3951*t - 42238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 519*o**3 + 499272*o**2 - 22434357*o + 259290 = 0?\nAnswer: -1005, 2\/173, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-22)\/(-4) + 1\/2. Let k be (-3)\/9 - f\/9. Is -1 + 2 - 78\/k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 = -4*m - 27. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/((-2)\/(18 - 0)). Let v be 5\/n*4\/10. Let o be 3\/21 + (-5)\/(-14). Which is the third smallest value? (a) 1 (b) o (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7341 + 0.4.\nAnswer: 7341.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 259 - -148. Let s = w - 406. Which is the nearest to 2? (a) -1\/7 (b) s (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 1675863?\nAnswer: 2\/1675863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = 10*l - 237. Calculate the remainder when 128 is divided by l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -52*k + 25*k + 81 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -36*v**5 - 5202012*v**4 - 187929185932*v**3 - 438482359972*v**2 - 334077064032*v - 83518688016 = 0.\nAnswer: -72249, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4*d = d - 1128, -d = -4*m - 4499. Let f be ((-3448)\/6)\/(30\/m). Suppose 2*t = 0, 0 = 4*k - 5*t + 4050 + f. What is k rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16362.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 404612?\nAnswer: 2, 13, 31, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 203943532651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -3*s + 4, -2*s = -4*d - 17 + 1. Let k = d - -7. Let r(f) = -3 + f**3 + 2*f + 1 + f**2 - 2*f**3. Calculate r(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 + 25. Factor 1\/4*k**3 + 1\/4*k**5 + 0*k**2 - 1\/2*k**g + 0 + 0*k.\nAnswer: k**3*(k - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-10472)\/6)\/1 + 7\/21. What is the units digit of (-4)\/(-18) - l\/45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -89 (base 10) to base 15.\nAnswer: -5e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1, 0, -78, 14.\nAnswer: -78, -6, -1, 0, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 57 (base 16) to base 12\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -878 + 17461\/20. Let j = -114593287\/414 + 2490874\/9. Let n = 332\/23 + j. Find the common denominator of b and n.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -5*h**3 - 6*h - 6. Let y be k(-2). Is 46 bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20246 times 0.108\nAnswer: 2186.568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -302*x + 215*x = 348 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6726?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -3\/2 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of w**5 - 82*w**3 + 40*w**2 + 1?\nAnswer: 60*w**2 - 492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12461*o*r**2 - 2007*r**2 - 12 wrt o?\nAnswer: 12461*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28805750 - 82*d - 110*d - 28805750.\nAnswer: -192*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56020368, -56020369, -56020370, -56020371?\nAnswer: -56020372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 + -0.1. Let b(f) = f - 7. Let k be b(5). Let l = 8\/3 + k. What is the nearest to l in -0.5, s, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9670 + -1600. List the prime factors of w.\nAnswer: 2, 3, 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -l**5\/20 - 7*l**4\/6 + 8*l**3\/3 + 17*l**2\/2 + 5*l. Let j be h(-15). Factor -2\/7*i + 4\/7 - 2\/7*i**j.\nAnswer: -2*(i - 1)*(i + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 4*h**2 - 11*h - 18. Determine t(7).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*v = 25*v + 63. Is 21 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w*w\/(((w**(1\/8)\/w)\/w)\/w)))\/w*w*w**(9\/7)*w)**(-1\/17)\/((w**(-2\/5)\/w)\/w**(2\/3))**(-12) assuming w is positive.\nAnswer: w**(-117323\/4760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m - 1. Let h be d(-4). Suppose 0 = -4*s + 22 + 10. Suppose 0 = 4*w - 8*w + s. Put h, w, -1 in descending order.\nAnswer: w, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/1069?\nAnswer: 2\/1069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**2 + 14*d + 13. Let g be r(8). Put 1\/4, 2, 0.12, g in decreasing order.\nAnswer: 2, 1\/4, 0.12, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 z when three letters picked without replacement from {r: 1, l: 1, z: 5, v: 5}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1296718 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -11, 31, 2, -5, 1, -1 in increasing order.\nAnswer: -11, -5, -1, 1, 2, 3, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 w when four letters picked without replacement from {f: 4, w: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((-2 + 2*sqrt(468) - sqrt(468)) + 3))**2 - (sqrt(117)\/(2*sqrt(9)) + (sqrt(78)*1)\/sqrt(6) - sqrt(156)\/(1*sqrt(972)))**2.\nAnswer: 192*sqrt(13) + 2423171\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -18\/5, -0.5, 5, 2\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2919599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/39 - (-54)\/(-1755). Let v be 2\/3 - 0\/(-2). What is the fourth smallest value in 0.3, v, h, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 571 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 11*b**2 - 12*b + 20. Let f be l(10). Suppose f*r = -2*r - c + 9, -3*r + 5*c = -7. Solve 0 = -t + m + m - 8, -4 = -4*t - r*m for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) 47 (b) 4578 (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*g - 4*f + 652 = 0, -3*f = -5*g + 855. Suppose -i + 158 = -g. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-16)\/(-12) - 1)*9. Suppose 0 = -j - 4*v - 12 - 19, 0 = h*j + 5*v + 79. Let s = 11 - j. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 54\/(-13) + (-8)\/(-52). Let a be ((-54)\/(-12) - 5) + (-2)\/o. Is -3\/32 at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16896 divided by -1536.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - -26. Let u = -5 + g. Suppose -12 + 31 = 2*p - 3*z, 10 = -2*z. What is the greatest common factor of u and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + 118*a + 1086. Let d be l(-10). Let -d*x**2 + 22\/3*x - 4\/3 = 0. What is x?\nAnswer: 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 37434 - 17060?\nAnswer: 20364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/10 and -83\/980424.\nAnswer: 4902120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*v + 52 = -444 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - -2*16\/4. Suppose -2*t = -5*d - 176, t = 3*t + k*d - 158. Is 31 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert -35 (base 12) to base 5.\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (17\/(-119) - 30\/(-14))\/(-2). Let p(x) = -24*x**3 - x**2 - 5*x - 3. Let k be p(c). Solve 0*t + 5*q = -t + 20, -q = -4*t - k for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a centimeter in millimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-7)\/n)\/n**16)\/(n*n*n**(2\/3)*n*n*n**13) assuming n is positive.\nAnswer: n**(-125\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 759 and 262218?\nAnswer: 6031014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2964 a factor of 3580512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 119*w - 8. Let p be f(-5). Let y be 5\/54*p\/(-60). Let x = -5\/9 + y. Which is the closest to -3? (a) -4\/3 (b) x (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -0*k - 3*k + 5, 4*k - 2*l - 24 = 0. Suppose -4782 = 4*y - 7*y + k*q, 6368 = 4*y - 4*q. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of -q**5\/60 - q**4\/12 + 17*q**3\/3 + 2*q**2 - 24*q. Let x be o(-6). Solve x = 4*w + 6 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3118 divided by 2969\nAnswer: 3118\/2969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-64)\/320*8*70.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -428*m - 3*g + 8 = -429*m, 5 = 5*g for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 483 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/7? (a) -2\/223 (b) -2 (c) -1 (d) -0.4 (e) 7\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a + 1689 = 1653 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, 1, 4, 5 in descending order.\nAnswer: 34, 5, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 77\/242 - 2\/4. Which is the third biggest value? (a) -5 (b) -0.3 (c) 4 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 882 and 486?\nAnswer: 23814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41011 - -25810. Which is greater: 0 or u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(352)\/(sqrt(72)\/(sqrt(9)*-1)))\/((sqrt(48) + -1*sqrt(3888))\/sqrt(12)).\nAnswer: sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 33845 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -1 + y**2 - 4 + 5*y + 1. Let g be p(-6). Let s = 2.9 - 3. What is the closest to s in 4, g, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59482807 to the power of 1\/4, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -0.5 (b) 28 (c) 0 (d) 1 (e) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of -25\/6*r**3 - 10*r + 0 - 11\/6*r**4 + 0*r**2. What is the second derivative of d(f) wrt f?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5365699 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + a. Let l be x(0). Put 3, l, -8 in descending order.\nAnswer: 3, l, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 + 24. Suppose 0 = -5*a - 7 + g. Suppose -3*k + a = -2. Solve -5 = 4*h - 2*w + 1, k*w - 7 = 4*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from -6.32.\nAnswer: -6.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.3, -5, -5\/2 in descending order.\nAnswer: 2.3, -5\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5735, -11477, -17219?\n\"Answer: -5742*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/47709 and 92\/12555.\nAnswer: 238545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2. Let c(r) = -526*r**2 + 272*r + 514. Determine c(l(v)).\nAnswer: -526*v**4 - 272*v**2 + 514","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1329? (a) -0.4 (b) 2\/17 (c) -0.3 (d) -0.124\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pd when two letters picked without replacement from dssddpdsdsd?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 130 = -5*m, m = 3*p - p + 24. Suppose 5*z + 3 - m = 0. Let c(o) = 6*o**2 - 4*o**3 - z*o + o + 3*o**3 + 1. Determine c(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -c**2 - 34*c + 152 = 0.\nAnswer: -38, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 515671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.32962 - 0.288. Round u to 3 dps.\nAnswer: 0.042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -224 - 0?\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 242\/(-132) - (-1)\/(-6). List the prime factors of (q + 4)*57\/2.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -406.3 - -406. Which is the nearest to 1? (a) -6 (b) t (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15 + 10*i - 15)*(2 + 1 - 1)*(349 - 85 - 171)*(-6*i + 2*i + 2*i) to g + w*i + r*i**2 and give r.\nAnswer: -3720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55780893 is divided by 233.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1872 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*a**3 + 11*a**3 - 46*a**3 + 10*a**3 + 9*a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o + 2. Suppose 0 = 3*p + p. Let k be i(p). What is the second smallest value in -1\/6, k, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 103*y - 702. Let x be l(7). Solve x*u - 10 = 14*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6329689.\nAnswer: 6329689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 386.2 - 458. Let p = -72 - t. Which is the biggest value? (a) -5 (b) -0.3 (c) 0.05 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away -52548534?\nAnswer: 52548539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36 + -22. Suppose -k + q = 8. Suppose k*s - 75 = s. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 266227, 2129319, 7186141, 17033557, 33268431?\nAnswer: 57487627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 - -0.2. Which is the second smallest value? (a) 3\/8 (b) 0.4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 7*a**2 - 5*a - 6. Let t be k(6). Suppose 4*m - 6 - 6 = t. Let s be -3 + (-7)\/m*-3. Solve 0 = j + s*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1076132 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 50. Let h = 45 + f. Solve -4*d + 11 = u, -u - h*d + 6*d - 13 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**2 - 3*d**2 + 4*d**2 + (d + 1 - 1)*(0*d + 0*d + d) + d**2 - d + d + (9*d - 22*d - 4*d)*(267 - 97 - 103)*(-4 + 4 + d).\nAnswer: -1136*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 3*c + 2. Let m be y(-2). What is the third derivative of 414*g**3 - 24*g**2 - 408*g**3 + m*g**2 wrt g?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 27*k**2 - 1292*k - 161. Determine m(48).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 72 - 69. Calculate the smallest common multiple of 36 and m*(312\/(-9))\/(-4).\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25 + -4 - 0) + -1.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5300 = -27*l + 23*l. List the prime factors of l.\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -7. Suppose -5*t = -4*t + c. Let o = t - -3. Solve o = 2*n - 7*n + 25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113186?\nAnswer: 2, 17, 3329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -3 - ((2 - -3) + 0).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-3) + (-28)\/(-12). Suppose -2*n = 23*n - 775. Suppose -3*l - 24 = -4*j, 0*l + n = 5*j - 4*l. Solve 7 = -5*q - 8, -j*z = t*q for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 + (-46)\/(-14))\/((-3)\/7). Let p = 0.68 - 0.98. Which is the fourth smallest value? (a) 2\/49 (b) 4 (c) p (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h - 3*l - 9, 27*l + 14 = 25*l for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 119*896.\nAnswer: 106624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is eight fifteenths of a week in minutes?\nAnswer: 5376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 5*i + 12 = 0, -5*u + 15*i - 20 = 20*i for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*k*m**2 - 845*k + 24*m wrt m.\nAnswer: -26*k*m + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -205312, -410619, -615926, -821233, -1026540?\nAnswer: -1231847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -1. Let k(w) be the second derivative of w**4\/6 - w**3\/6 - 19*w. What is the units digit of k(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1922544366 to the power of 1\/2, to the nearest integer?\nAnswer: 43847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8499350?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 189194.6ml in litres?\nAnswer: 189.1946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -109 + -34 + (12 - 32 - -36).\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 5:49 AM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50713?\nAnswer: 13, 47, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 10 = 2. Suppose 4*u - 404996 = 3*w - s*w, 5*w + 5*u = 404995. What is w rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, t: 2, m: 11}. Give prob of picking 1 t, 1 m, and 1 c.\nAnswer: 44\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 + 9*m - 15. Suppose 10*f - 2*f = 48. Let p be c(f). Is ((-3)\/p)\/((-2)\/2554) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 2*d + 4. Let h be j(-2). Suppose 5171 + 1829 = 7*k. Suppose -g + k = h*g. What is the greatest common factor of 80 and g?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-12) + 50\/8. Let h be 8\/k*(-3)\/(-6). Let r be (-10)\/3 + (-4)\/6. Sort 2\/7, h, r.\nAnswer: r, 2\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence je when two letters picked without replacement from {j: 3, e: 13}?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.387565mg?\nAnswer: 0.000000000387565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h + 0*h + 2*h)*(3 - 1 + 0)*(7*h**3 + h**3 + 0*h**3) to the form y*h**3 + u*h**4 + m*h**2 + v + o*h and give u.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 8*d**2 + 16*d + 13. Does 16 divide g(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirteen fifths of a kilometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2108 and 155.\nAnswer: 10540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 5*m = 413, m - 398 = -4*p - m. Suppose -5*g + 3*h = 105, 0 = 5*g - g - 5*h + p. Calculate the lowest common multiple of 22 and (-148)\/g - 2\/9.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(63)*-1 + (-2*sqrt(378))\/sqrt(6))\/(sqrt(90)\/(sqrt(10) - (sqrt(810) - sqrt(810)*-2))*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gvgnggll. Give prob of picking 1 g and 1 v.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 30, 44, 76, 132, 218?\nAnswer: 340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a week in minutes?\nAnswer: 9072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 7 (b) -5297 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 5*v**2 + 12*v + 8. Suppose 0 = 3*z - 2*z - 9. Let p = 2 + z. Is g(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/1)\/(-14*2\/40).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69718?\nAnswer: 2, 11, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -874900 rounded to the nearest ten thousand?\nAnswer: -870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 p, and 1 w when four letters picked without replacement from klkkwklwkwwpllwk.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13352 and 128.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 12.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 4:19 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -2*q**2\/7 + 125326*q\/7 + 626680\/7 = 0.\nAnswer: -5, 62668","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - x**4)*(1 + 5 - 5)*(24 - 28 + 23).\nAnswer: -19*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*5*(3 + sqrt(612) + -1 + -2))**2*-4*-6.\nAnswer: 13219200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**2\/5 + 196*j\/5 + 194\/5 = 0. Calculate j.\nAnswer: -97, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**2 - 7*y + 8. Determine s(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 10*a**2 + 11*a + 3. Let o be b(11). What is the nearest to 0.1 in o, -3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12669 and 206?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -225e8 (base 15) to base 4\nAnswer: -122230133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 13290 = f. Let v = f - -79889\/12. Find the common denominator of v and ((36\/(-32)*2)\/(3\/(-36)))\/(-16).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*i + 112*i - 189*i.\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/135 at most as big as -1133.919?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 6*x + 3*x + 18 = 0, -3*x = i - 9. Solve -y = -l + 1 + i, -y - 8 = -5*l for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -0.2 (b) 3\/8 (c) 0 (d) 0.07 (e) 4 (f) -1\/1199 (g) -3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + 10*b**2 - 2*b - 6. Let w be r(-7). Let m be -107*(1 + 1 + -1). Let i = m + w. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -117 - -119. Let q(t) = -5*t + w*t + 4*t + 0*t. Let f(v) = -11*v**2 + 4*v. Determine q(f(d)).\nAnswer: -11*d**2 + 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 967*u**2 + 18375*u + 42. Determine y(-19).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 52*50\/(-440) - -6\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1.539705mm?\nAnswer: 0.1539705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w**3 - 2*w**2 - 5*w + 5. Let n(i) = -i**3 + i**2 + i - 1. Let l(p) = 15*n(p) + 3*v(p). Find the third derivative of l(x) wrt x.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 308.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 27 divided by -3\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -719, -1311, -2915, -6035, -11175, -18839?\nAnswer: -29531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 3 + -4 + -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v - v - 3*v + (0 + 1 - 3)*(v + 2*v + 3*v) to the form c*v + q and give c.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -940818, -940842, -940866, -940890, -940914, -940938?\nAnswer: -940962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.1 - 20.9. Let k = 22 + q. Which is the nearest to -0.1? (a) -0.3 (b) 0 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j. Let h(z) be the third derivative of -z**5\/4 + 16*z**2. What is l(h(a))?\nAnswer: -15*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + 7*z + 8. Let y be a(9). Let t = y - -16. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 0 + 16 - 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 48.46345ml?\nAnswer: 0.04846345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -596, -4729, -15944, -37781, -73780?\n\"Answer: -590*r**3 - r**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -110.\nAnswer: -3\/110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -664, -3, -1 in ascending order.\nAnswer: -664, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, -0.9, -1\/49?\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 55.728 + 0.272. Let i = -55 + z. Let d = -19 - -32. Which is the closest to 0.1? (a) i (b) 5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.50558257 rounded to 1 dp?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46114, -184382, -414830, -737458, -1152266, -1659254, -2258422?\nAnswer: -2949770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 622.6064 kilometers?\nAnswer: 622606.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/14)\/((-132)\/16)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 62 = -4*l, -116*l + 117*l - 5*b + 38 = 0 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 3852310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-14)\/(-4))\/(6\/60). Suppose h - 7 + 60 = 3*u, -2*u + m = -h. Does 4 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 1129*w + 33. Let u be d(-14). Let q be (u\/(-3))\/(10\/(-3)). Let v = q - -1581. Find the common denominator of v and -79\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10181\/35707 - 3\/5101. Which is the fifth biggest value? (a) -0.3 (b) -2\/19 (c) 0 (d) g (e) -22\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.632655 to one decimal place.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -2, 17, -3 in decreasing order.\nAnswer: 17, 13, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2022012122200 (base 3) to base 15.\nAnswer: 192c13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 768 and 8544.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/8)\/7*-6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -36 (b) -1 (c) 3 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of ((-1194)\/15)\/((-8296)\/920 + 9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 19 = -4*n + 2*l, n + 4*l - 9 = 0. Let q = 6 - n. Is 7\/(-2*q\/(-758)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 537, 1093, 1665, 2241, 2809, 3357, 3873, 4345?\nAnswer: 4761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2782 is divided by 314.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -18, -24, -34, -48, -66?\n\"Answer: -2*q**2 - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*h = -129 - 219 + 40 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*d**3 + 3 - 4*d**2 + 3*d**2 - 3770*d**3 - 4.\nAnswer: -3710*d**3 - d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 105 - 101. Solve 2*g - 7 = h*f + 1, g = f + 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5147 - -7398. What is the thousands digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -247*v + 128 = -239*v. Suppose -s = 4*s - 880. What is the highest common divisor of v and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of 0*v - 1\/9*v**6 - 2\/15*v**5 + 0*v**2 + 1\/6*v**4 - 7 + 2\/9*v**3. Factor f(o).\nAnswer: -2*o**2*(o - 1)*(o + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -395, -396, -397, -398?\nAnswer: -399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w\/((w*w*w**(-1\/4))\/w))*w**(-13)\/w*(w*w*w**10*w)\/(w**(1\/18)*w*w) assuming w is positive.\nAnswer: w**(-83\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 1. Let d(t) = t + 1. Let w(i) = -d(i) + 4*o(i). Suppose g + 116 = -3*g. Let f = -32 - g. Calculate w(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/8)\/((-33)\/132)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h**2 + 12*h + 140. Let t be i(-5). Solve -t*w = 5*u + 5, 6*u = w + 10*u - 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -4*k - 4*b + 38, -3*b - 53 = -5*k. Solve -k*y + 8 = -6*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -2 - (-7 + -5) - (1 - -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.084582 or 0?\nAnswer: 0.084582","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -0.52178 (c) -26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 701 - 692. Is (-68245)\/(-225)*5*b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 12161978, 12161983, 12161978, 12161957, 12161914, 12161843, 12161738?\n\"Answer: -x**3 + x**2 + 9*x + 12161969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39.2 + 32. Let i = r - -7. Let z = i + 7.4. What is z rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 times -7\nAnswer: -0.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zta when three letters picked without replacement from {z: 3, t: 5, a: 1, j: 4}.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -265*u**4\/12 - u**3\/6 - 177*u**2 + 7*u - 5. Find the second derivative of i(n) wrt n.\nAnswer: -530","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 872288.8064 rounded to the nearest one thousand?\nAnswer: 872000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/4 and 3.75 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1515 by -303.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -7*v. Let z(r) be the second derivative of r**6\/360 - r**3 + 16*r. Let n(k) be the second derivative of z(k). Determine n(m(w)).\nAnswer: 49*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -3) + 9 + -16 + 8 - (30 + -5)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*l + 2*l + 2*l - 99 - 3*l - 6*l to the form j*l + s and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x**3 - 57*x**2 + 7*x - 109. Let m be l(19). Solve -m = -26*d + 20*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3990 - 3986. Solve -6 = -q + 3*i - 5, n*q = -4*i - 12 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*g**3*v + g**3 + 158*g*v**3 + 15 wrt v?\nAnswer: 2*g**3 + 474*g*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (-2712)\/(-48))\/(9\/(-6)) - 1?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 11 = -p, g = 5*g + 2*p - 10. Solve 4*q - 1 = -4*n + 11, g*n = 5*q + 6 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhi when three letters picked without replacement from {h: 7, i: 4}?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of t**4\/27 + 4*t**3\/27 - 16*t**2\/9 - 48*t. Factor n(f).\nAnswer: 4*(f - 2)*(f + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 4 + 5*j - 7 + 18 - 7 - 4*j**2 in the form a*j + p + v*j**2 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 + 20. Let p(z) = -20*z - 1. Give p(m).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2139754*p**3 - 477569*p**2 wrt p.\nAnswer: 12838524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1325741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 38*r - 37*r + 8 = 0, 7*s = -4*r + 7 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 - -24. Suppose -q + o = 2*c, -11 = 2*c - 4*q - 37. Suppose s - c*s = -96. Calculate the lowest common multiple of s and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100001 (base 3) to base 15\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -332220 by 4.\nAnswer: -83055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18064309, 36128578, 54192845, 72257110, 90321373?\nAnswer: 108385634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*g - 281806*g**2 - 39*g + 281792*g**2 as j + w*g**2 + k*g and give k.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -6740 divided by 20\nAnswer: -337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 111121 (base 3) in base 2?\nAnswer: 101101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 + -26 - (4 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 + 35\/10)\/((-9)\/12). Let g(i) = 2*i**2 - 3*i. Calculate g(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 6*f**2. Let z(r) = 18177133*r**2. Calculate a(z(c)).\nAnswer: 1982448984598134*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 3*m**2 - 1146*m - 1957257 = 0.\nAnswer: -639, 1021","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3*s + 102 = 0. Suppose -4*o - g + 4*g + s = 0, -g = 1. What is the remainder when (-68)\/6*1*-3 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4458, 4460, 4462, 4464?\nAnswer: 4466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*d**2 - 2283618*d + 1522416.\nAnswer: -3*(d + 253736)*(3*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (98437248\/405)\/52 + 2\/(-15)?\nAnswer: 2, 3, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a tonne in kilograms?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*sqrt(35) - (3*sqrt(1260) + sqrt(35)))\/(sqrt(3645) + -3*sqrt(605)).\nAnswer: 7*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 29\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20799 is divided by 1599.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 2373959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + m + 231 = 0, m = 90*r - 91*r + 231. Calculate the least common multiple of 330 and r.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 170*a + 55. Let w(m) be the first derivative of -19*m**2\/2 - 6*m + 1243. Determine 6*g(x) + 55*w(x).\nAnswer: -25*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 21, 45, 73, 99, 117, 121, 105, 63?\n\"Answer: -r**3 + 8*r**2 + 7*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-3)\/(-5) + 323\/(-380)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h = -15*h. Solve h = l - 2*y - 2 - 10, 2*l + 5*y = -12 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -2*a**5\/3 - 488*a**4 - 2426*a**3 - 5816*a**2\/3 = 0?\nAnswer: -727, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -t**3 - 2390*t**2 + 127*t + 95?\nAnswer: -6*t - 4780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 350658 and 34362?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30.93, 0.38, 5\/6 in descending order.\nAnswer: 30.93, 5\/6, 0.38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k**2 + 30*k + 50. Let f be l(-8). Suppose -3*x = 3*g - 4782, -4*x + f*x - 4*g + 3178 = 0. What is the hundreds digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2607 and 2281757?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -4*t + 56, 7*t - 30 = 5*t - 2*b. Suppose 14 = -t*g + 12*g. Suppose -2730 = -7*p + g*p. What is p rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4931 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2 + (-4*(sqrt(264) - (sqrt(264)*-5 - sqrt(264))))\/(sqrt(6) + (sqrt(6) - (sqrt(54)\/sqrt(9)*6 + sqrt(6) - sqrt(6)))))**2.\nAnswer: -28*sqrt(11) + 2157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d**2 - 14*d - 14. Let c be g(-2). What is the nearest to c in -3\/5, -1\/7, -3, 5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23)\/(230\/(-40))*(-3 + (-136)\/(-48)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 9087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*z + 3*z - 28386. Let f = -24 + z. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*h - 114 = 0, 14*p - 10*p = -5*h - 98. Sort 5, -7, p in decreasing order.\nAnswer: 5, -7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 - (17 + -29 - -21).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v - 38*v + 315 = 0. Let m(s) be the second derivative of v*s + 10\/3*s**3 + 0*s**2 + 0. Let o(r) = 2*r. Calculate m(o(g)).\nAnswer: 40*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.06 - 0.53. Let h = 0.5277 - q. What is h rounded to 4 decimal places?\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -1 + 5 - (56 - 7) - 3?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28883282455.49993 - 28886353617.5. Let w = -3071148 - c. Let x = 14 - w. Round x to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100111 - -1010?\nAnswer: 110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -1960*b - 3427. Calculate d(-2).\nAnswer: 493","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -300 by -29.\nAnswer: 300\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2991*y + 2977*y. What is the closest to -81 in 5, y, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 2*h = -4, -2*t = -4*h - 6186. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -75 + 95. Solve -5*r + 8 = 3*y, 6*y - 2*r = 3*y - h for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7452 divided by 4?\nAnswer: 1863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 z, and 2 f when four letters picked without replacement from dzdzfdffdzd?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 138 = -i, -2*w - 5*i - 261 = -4*w. Let r = w + -134. What is the remainder when 13 is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -58*h**4 + 62*h**4 + 3*h**3 + 2*h**2 - 4*h**3 to i*h**3 + l*h + w + d*h**2 + u*h**4 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 124*c**3 + 677*c**2 - 522*c - 720.\nAnswer: (c + 6)*(4*c + 3)*(31*c - 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 5*w = -14. Let t be (-1)\/(-3) - 40\/(-6). Calculate the greatest common divisor of w and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1514.7 + -1515. Let l = 2.4 + -0.4. Which is the second smallest value? (a) 4 (b) l (c) v (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 472 is divided by 99.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (78\/(-156))\/(1\/(-14))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of -z**5\/60 - z**4\/24 + 2*z**3 - 27*z**2. Let v be n(3). Suppose -6*u - 8*u + 420 = v. Is 5 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4940 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5791700 rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(342\/(-4))*435\/(-1015)*-7.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(1\/(-6)*1). Suppose 4*j + 0*g - 9 = -g, 3*j - 5*g - y = 0. Suppose j*n - 40 = 59. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -64411 - 17233?\nAnswer: -82644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -2*v**5\/7 + 394*v**4\/7 - 22812*v**3\/7 + 137376*v**2\/7 + 15489792*v\/7 - 4478976 = 0?\nAnswer: -21, 2, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(-4))\/((-7)\/(-8)). Let s be (2*1\/2)\/(36\/(-252)). Is m at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1535546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 8, w: 3}. What is prob of picking 1 p and 1 w?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3 + 0*j - j**3 + 11*j**2 - j + 8 + 2. Let c be g(11). Calculate the remainder when 37 is divided by c + 4\/(12\/33).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + 9. Let x = 1 - -7. What is the remainder when v is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4919 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 9:03 PM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 5 + (-5 - -2). Let k be s\/(2 - 236\/116). Let o = k + 37. What is the lowest common multiple of 16 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -7*3*(-6)\/18. Suppose 2*w - 3*u = 209, 10*w - 3*u = o*w + 321. Is 6 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 800 - 798. Let u(x) be the second derivative of -25\/6*x**4 - 5\/2*x**3 + 0*x**v - 3\/4*x**5 - 15*x + 0. Factor u(i).\nAnswer: -5*i*(i + 3)*(3*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -98 + 99. Let c(l) = 44*l**3 + l**2 - 7*l + 5. What is the remainder when c(q) is divided by 33?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v*v**36)\/v*v))\/v**(-26))\/(((v\/v**(3\/25))\/v)\/(v**(-22)*v)) assuming v is positive.\nAnswer: v**(-772\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (711\/(-474))\/((-1)\/1)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1988*l**2 + 84*l + l**4 + 71*l - 155*l + 24*l**3 wrt l?\nAnswer: 24*l + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2094265 is divided by 1046691?\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 1270.\nAnswer: 1\/254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -6 + 7 - 29 - 12*s + 0 - 18*s + 32*s. Let c(f) = f - 2. Let o(j) = 1. Let m(n) = -c(n) - 2*o(n). What is m(q(x))?\nAnswer: -2*x + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -21*y**2 + 4*y + 6*y**2 - 10*y + 14*y**2. What is m(-9)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -7*b**2. Let z(o) = -13*o**2. Let s(r) = 11*x(r) - 6*z(r). Let h(p) = 4*p**2. Give s(h(w)).\nAnswer: 16*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -5*w + 34, 3*m + w = 5*w - 11. Suppose -m = 3*i + 6. Let p(b) = -6*b + 4. What is the tens digit of p(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -134, 0, -4 in descending order.\nAnswer: 0, -1, -4, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 91 and 364?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*t = -2*t - 22. Let p(c) = c - 1. Let q(i) = -5*i**3 - 16*i**2 - 59*i + 2. Let r(m) = t*q(m) - 2*p(m). What is the second derivative of r(x) wrt x?\nAnswer: 30*x + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**3 - 16*a**2 + a + 10. Let r be f(-8). Solve -5*x = -34 + 9, 25 = -r*b + 3*x for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -488*u**5 + 24763*u**4 + 37117888*u**2 wrt u.\nAnswer: -29280*u**2 + 594312*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-17330)\/(-50) - 6\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000288204 rounded to 7 dps?\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuooo. What is prob of picking 2 o and 2 u?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**2 - 2*r**2 + 4*r**2 + (2*r + 0*r + 0*r)*(23*r - 51*r - 20*r - 4*r + 6*r - 4*r + (0*r - 4*r + 2*r)*(-1 + 0 + 2)).\nAnswer: -105*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20763, -20787, -20809, -20829, -20847, -20863, -20877?\nAnswer: -20889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19653850 or -19653846?\nAnswer: -19653850","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (1 - -3 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 181.1 - 181. Suppose 8 = -4*x, 4*z = -2*x + 10 - 2. Suppose -l = z*l - 4. What is the closest to t in l, -2\/7, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50971*c - 19 = z - 50976*c, 0 = 3*z - 4*c + 13 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -97 + 102. What is the third smallest value in 0, i, -6?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u + 3464 = 15*u. Suppose -12*p + 17*p = 0, 3*p - u = -g. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1644, 1645, 1646, 1647, 1648, 1649?\nAnswer: 1650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than -64\/75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -p + 20, 0 = p - 3*p - 4*m - 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-7 - 1) + -2 + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*t - 10896 - 10356. Is t a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*k**3 - 10219896 + 10219896.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 28 = 4*s, 5 = -3*l + 68*s - 69*s for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 345*g**2. Let q(c) = c**2. Give q(a(j)).\nAnswer: 119025*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*l + 18 - 53. Calculate the highest common divisor of l and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zbpp when four letters picked without replacement from bppbzbpbbpb?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/j**0*j**(2\/23))\/((j\/(j*(j*j**(4\/11)*j)\/j*j*j))\/j**(-9)))**(-1\/23) assuming j is positive.\nAnswer: j**(898\/5819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - 113*h + 227. Let j be f(2). Which is the third smallest value? (a) 0.3 (b) -0.09 (c) 15 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*h + 94*h + 1408 = 23*h for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -271 by 1692.\nAnswer: -271\/1692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -119 + 198. What is the remainder when h is divided by 2\/3 + 92\/6?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + -5 - -1*2. Let c(p) = 39*p**2 + 1. Let x be c(q). Let u = x + -1. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, 3, -8.01, 0.6, -91?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 1877138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -2, 835629, 8 in ascending order.\nAnswer: -4, -2, 3, 8, 835629","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12797306923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 l, and 2 c when four letters picked without replacement from cluuuchchuccccccou.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*h + 4*w, 7*h + w - 16 = 2*h. Let p = 0.005 - -0.035. What is the closest to p in h, 1\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 915.866 rounded to the nearest ten?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14\/9? (a) 0.5 (b) -0.5 (c) 12 (d) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rz when two letters picked without replacement from rnrrrerrzeerrr.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, g: 7, a: 1}. What is prob of picking 1 c and 1 a?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/18 and 6\/317.\nAnswer: 5706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*x**(-7))\/x)\/x*x*x*x\/(x*x**(3\/4)))\/(x\/x**(-1))**8)\/(x*(x*x**(-4))\/x*x\/x**1*(x*x**(-1\/6))\/(x*x\/(x*x**(2\/15)*x)*x)) assuming x is positive.\nAnswer: x**(-1183\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 66, 137, 208, 279, 350, 421?\n\"Answer: 71*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**2 - 1663952297*f + 1663952297*f.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -143, -558, -1249, -2216, -3459, -4978, -6773?\n\"Answer: -138*z**2 - z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + 3*s**2 - 5*s - 4. Let k be c(-3). Suppose -21 + k = -5*j. Let -5*z**3 + j*z**3 + 5*z**3 - 2*z**5 = 0. Calculate z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -344 = -3*z - 8. Suppose 12*j = 11*j + 38. Calculate the remainder when z is divided by j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n - 2*n + 2. Let u = n - -5. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56 - -140 - 98 - (-1 - (11 - 2))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 30*i**2 - 4*i + 100. Give q(30).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/3 or -25234?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75, -140, -179, -180, -131, -20?\nAnswer: 165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kkkkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, p: 4, v: 2}. Give prob of sequence ppvv.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 0*j + 2*j = -13, -a + 19 = 4*j. List the prime factors of a\/1*(-10)\/(-25).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2581 + -6958.\nAnswer: -6957.7419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kgqggkgpgzkgkkggq. Give prob of picking 1 g, 1 k, and 1 p.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17.972928 - -57780.\nAnswer: 57762.027072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16285722 is divided by 92?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -939 or 62106?\nAnswer: -939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -1. Let l(m) = 2*m**2 - 5*m + 7. Let r be l(c). Factor r*g**3 + 4*g - 14*g + 79 + 5*g**2 - 5*g**4 - 79.\nAnswer: -5*g*(g - 2)*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {k: 5, b: 8}.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -17*z - 2. Let h be i(-3). Let g(f) = 2*f - 5. Let u(s) = -21*s + 49. Let l(o) = h*g(o) + 5*u(o). Let t(y) = -y. What is l(t(n))?\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 53\/5 of a gram?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + h**2 - h - 2. Let q be c(0). Let g be (q\/(-6))\/(3\/9). Let z = -28 - -30. Put z, g, -10 in increasing order.\nAnswer: -10, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.868525 minus 2?\nAnswer: 7.868525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.3 in -2, 0.3, 30, -0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*n - 62856 = 1288*n for n.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*y**4 - 2381*y**3 + 41*y**2 - 84775 wrt y?\nAnswer: -8*y**3 - 7143*y**2 + 82*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**2*q))\/((q\/(q**(-1)\/q)*q)\/q*q)*(q*q\/(q\/(q\/q**0))*q)**(-3\/11)*q**(3\/8)*q\/(q\/q**4)*(q\/(q\/q**0))**(-1\/14) assuming q is positive.\nAnswer: q**(-215\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jnjgjnnjnggnn. Give prob of sequence jg.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 406 + 410 + 112*g**2 - 816.\nAnswer: 112*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a litre in millilitres?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4533\/8060 - 5\/403. What is the common denominator of 158*(0 - (-3)\/36) and f?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/7 (b) 735 (c) -10\/13 (d) 0.4 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 377766?\nAnswer: 2, 3, 31, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 5176841 = 5176869?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*z - 1. Suppose 14 = -z*p - 4*p - 2*g, -3*g - 3 = 0. Let o(k) = 2*k**2 + 6*k + 3. Let m be o(p). Solve -m = -i - 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - j. Let g(y) = -y**3 - 3*y**2 - 4*y + 2. Let w(d) = g(d) - 2*h(d). Give w(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 86 + -153. Let q = y - -32. What is the tens digit of (-44)\/77*q\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119211 is divided by 9167.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.74 - 3.921. Let n = -0.049 + c. Let a = 0.23112 + n. What is a rounded to four decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilometer in millimeters?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of -n**5\/150 + 121*n**3\/15 + 1243*n**2. Factor v(g).\nAnswer: -2*(g - 11)*(g + 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c\/c**(-1))*c)**35)**20 assuming c is positive.\nAnswer: c**700","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 347875 to the nearest integer?\nAnswer: 590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.18, 5\/2, 0, -911?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus -855258983288.95?\nAnswer: -855258983288.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 8*f = 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/27)\/((1334\/9)\/(-29))*-1\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 22. Suppose -o = 5*d + 738, 0 = -7*o + 3*o - q. Let a be 1\/((9\/3)\/d). What is a rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -117 and 75.674?\nAnswer: 192.674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 1.0073 = -144\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2042 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of 9*o**2 + 2*o - 7. Let q be z(3). Let a be ((-12)\/q)\/((-3)\/2). Sort a, 3, -2\/13 in descending order.\nAnswer: 3, a, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 21 = k, 7*k + g = 6*k + 9 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/999450 and -187\/399780?\nAnswer: 1998900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*x = -511*x - 705*x + 123644 - 41807 for x.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-126)\/27*(-150)\/(-350)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-6)*2)\/(20\/(-120))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49 - 8. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 4*d - 4*c + 14, 0 = -d - 2*c - 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45116.\nAnswer: 2, 11279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -155.54 + 154. Let h = o + 1.6284. Let a = -0.08 + h. Round a to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/13, 1, -2, 1\/2, 3\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -3208*b - 32185. Calculate f(-10).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*m + 14309 = 15*m - 8031 + 2720 for m.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2443 (base 8) to base 12\nAnswer: -917","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*m**3 + (6 - 3 - 5)*(5154*m - 3*m**3 + 1089*m - 947*m).\nAnswer: 4*m**3 - 10592*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -148 - (-32 + -21) - ((-7)\/14 + (-5)\/2).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 1359*c**2 + 6*c + 7. Let s(r) = -906*r**2 - 4*r - 5. Determine -5*m(u) - 7*s(u).\nAnswer: -453*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-244)\/4392 - 991\/(-18)) + -28?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -21*q - 54. Let s be m(-3). Solve 5*j + s + 6 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p + p**2 - 1 + 5*p - 6*p. Let f(u) = -17*u**2 + 18*u - 1. Let q = 83 + -84. Let x(w) = q*y(w) + f(w). What is the second derivative of x(i) wrt i?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t - 24. Let z(i) = -2. Calculate h(k) + 3*z(k).\nAnswer: 3*k - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and -969.98.\nAnswer: -973.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10904 - 14. Is 165 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8124 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-401)\/(-3) - 56\/(-42). Let w = -76 + n. Calculate the remainder when w is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 + 16)*(-21 - -8350) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-9)\/(-18))\/((-1)\/(-164)). Is r at least 82?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3 + sqrt(891)*2)*5)**2 - (((sqrt(891)*-2 - sqrt(891)) + 2)*-1)**2)*-3.\nAnswer: -243906 - 8424*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 118131 and 60114?\nAnswer: 10159266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) -0.035 (c) 13\/6 (d) -0.1 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*w**2 - 20*w - 439.\nAnswer: -8*w - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 3*o**2 + 5*o + 4. Let p be 54\/(-15) + 2\/(-5). Let n be r(p). Solve -16 = 2*s + f + 4*f, -s - 3*f - 10 = n for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from miii. What is prob of sequence iim?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241190 is divided by 60297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 848, 6, 3, -17, 5, -5 in descending order.\nAnswer: 848, 6, 5, 3, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j + 6. Let m be (0 - 5)*53\/(-265)*1. Determine w(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 - (0 - (0 - -10)). What is the tens digit of 10 + 0\/(o\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9855683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.14*6.32.\nAnswer: -0.8848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -25 * -0.5\nAnswer: 12.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 + -53 + 22 + 82.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 703.97105 + -704. Let d = -7 + 7.03. Let h = d + u. Round h to 4 dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**(-1)*m))**(-1\/9)\/(m**9\/m**(3\/8)))**(1\/23) assuming m is positive.\nAnswer: m**(-3\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 10*t**2 + 12*t + 33. Let h be n(8). What is the nearest to -0.2 in 5, 4, -1\/5, h?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, 2\/3, -0.4, -7\/5, 2168 in ascending order.\nAnswer: -7\/5, -0.4, 3\/7, 2\/3, 2168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6926?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 235543409701 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 312 = t + 6*t + 71*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3758 > 1445?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -71*s + 68*s - 68*s - 2698 for s.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 392 and 322.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93524172 is divided by 285?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6217520784.\nAnswer: 2, 3, 19, 6817457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 273760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3667 and 193?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 17 + (-10 - 7642\/1090). Which is smaller: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-1 - 3)) + -131 + -200 + 214\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -7*u**3 + 3*u**2 - 5*u + 1. Let x(w) = w**3 + w. Let l(t) = -68*t**3 - 6*t**2 - 3*t + 6. Let n be l(-2). Let r = -533 + n. Determine r*d(f) - 5*x(f).\nAnswer: 2*f**3 - 3*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74\/208 + ((-4131)\/(-351) - -19 - 31).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -21 - 20464\/(-912) - -3*(-4)\/114\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56918 is divided by 769?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/sqrt(6)*3 - sqrt(504)*3)\/(((sqrt(288) + -2*sqrt(288))*2 - sqrt(288))*5).\nAnswer: sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -249, 10, 1, -1, 544, 3, -2.\nAnswer: -249, -2, -1, 1, 3, 10, 544","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j = 3*l - 76, -21*l + 9*l + 58 = -8*l + 2*j for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 117734 and 1806?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1210 + 5494. Is y a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6583283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - 3.227\nAnswer: -3.027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3662507, -3662146, -3661799, -3661472, -3661171, -3660902?\n\"Answer: -f**3 - f**2 + 371*f - 3662876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 616 and 8393.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2614 + -11225?\nAnswer: -14142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + 6 + (-4 - -3). Suppose -t*q = q + 68. Let r = q - -29. What is the lowest common multiple of r and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*j + 32 = 0, -5*j - 78 = -4*q + 61. Solve -10*x = -q*x + 156 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 - (-14 + (75 - 53)).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1158136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84594 is divided by 225?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1937619, -3875295, -5812971?\nAnswer: -7750647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-3)*x)**(1\/56)\/(x**(-7\/2)\/(x**(-1\/5)*x)) assuming x is positive.\nAnswer: x**(1199\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150318?\nAnswer: 2, 3, 7, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/21 + 189328*a\/7 - 13441909344\/7.\nAnswer: -2*(a - 141996)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 5*m**2 + 4. Let t be h(5). Suppose b + t = 3*b. Suppose -3*p + a + 12 = b*p, 2*a = -p - 2. Solve -p*f = 2 + 8 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -336, -726, -1112, -1494, -1872?\n\"Answer: 2*x**2 - 396*x + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 8*u. Let b be y(8). Let z be -3 + (b - 1) + 1. Let a(k) = k**2 + 2*k - 4. Calculate a(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 4:15 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of 0*h**3 + 14\/5*h**5 - 6*h**2 + 100 - 1\/2*h**4 + 0*h. Find the second derivative of b(q) wrt q.\nAnswer: 168*q**2 - 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + -3 + 15 + 8 + 6 - -35.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 11*h + 4. Let v be x(-11). What is the greatest common factor of v and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(10\/(-3))\/(-2). What is the fourth biggest value in -0.3, o, 0, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-66 + 51 - 100)*(4*f - 4*f + 3*f**2).\nAnswer: -345*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -187 + 397. Suppose -70 = -k + i. Suppose 6*w - 5*w + 182 = 2*c, 3*c = 5*w + k. Does 25 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(162))**2 - (-1 + sqrt(72))**2 - (sqrt(18)\/(sqrt(18)\/sqrt(2)) - ((sqrt(20)*4)\/sqrt(10))**2).\nAnswer: 11*sqrt(2) + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -12*c + 63. Suppose -635 = -c*q + 4*q. What are the prime factors of q?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 211458 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.5, 16.2, 0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2129505.\nAnswer: 3, 5, 7, 17, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9\/4? (a) 2 (b) -6 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -63, -12, 127, 396, 837, 1492, 2403?\n\"Answer: 7*n**3 + 2*n**2 - 4*n - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 2 - (6 - -1 - 5 - -8)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1085119*f**3*n**2 + 69*f**2*n**2 - 2086*f**2 wrt f.\nAnswer: 6510714*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 - -672008) + (-12)\/(5 + -2). Round p to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1430 and 558910.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, -840, -2589, -5186, -8619, -12876, -17945?\nAnswer: -23814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4179?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14222120.000062 - 14222177. Let b = 57 + j. Round b to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32065357 to the power of 1\/3, to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 552 and -2.2024.\nAnswer: -1215.7248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -508077.6376 rounded to the nearest ten?\nAnswer: -508080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46889?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 986 a factor of 744249626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.8159 rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 107 - 23 - 44*c + 70*c + 33*c wrt c.\nAnswer: 59","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293732 is divided by 369.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64, 79, 70, 25, -68, -221, -446?\nAnswer: -755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 322 divide 148764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -8*a**2 + 36*a**3 + 7*a**2 - 3*a + a. Let g be p(2). Let t = -113 + g. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**3 + 0*p**3 - 3*p**3)*(9*p - 2*p + 276*p**2 - 310*p**2 - 9*p).\nAnswer: 68*p**5 + 4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 16*q**2 - q + 17. Let w be n(16). Let r(t) = t**2 - t - 1. Let p(c) = -c**3 - c**2 + 3*c + 4. Let z(d) = w*p(d) + 3*r(d). Give z(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6365 is divided by 1440.\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 106*o**2 - 952*o - 15. Suppose 4*b - 1 = 11, 3*f + 4*b = 15. Calculate the remainder when d(9) is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 111364790 divided by -1?\nAnswer: -111364790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + 3*i - 7. Determine u(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((0\/2)\/2)\/2. Let h be (-1 - k) + 0 + 1. Let y(b) = b + 6. What is y(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 3. Let x be (12\/(-24))\/(3\/(-18)). Suppose 4*b + 2*r = 20, -2*b - 4*r + 22 = x*b. Put b, p, 4 in ascending order.\nAnswer: p, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 7675312.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*c = -3*c - 2541 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -f9 (base 16) in base 7?\nAnswer: -504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2 + 10996*y + 15114002.\nAnswer: 2*(y + 2749)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2 - 3*c - 1 - 4*c**3 + 2*c**3 - 5*c**2 + 0. Calculate the remainder when k(-4) is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3391103 or -3391113?\nAnswer: -3391103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14923316 and 212.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 2*m - 0*m - 204, -90 = -2*y + 4*m. Solve 35*u - y*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrlrrrrrrrrrrrlr. Give prob of sequence rlrl.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 - 2*a - 1. Let n(g) = 32*g - 2. Determine 2*b(s) - 2*n(s).\nAnswer: -2*s**2 - 68*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 7*o**2 - 12*o + 5. Calculate the remainder when 353 is divided by s(9).\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2348*y**3 - 8013 with respect to y.\nAnswer: -7044*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 1004410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*m + 3*f, -f - 2*f = 4*m - 13. Differentiate 5*c + m - 3*c - 3*c wrt c.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 - -4. Let c = -14 - v. What is the third smallest value in 3, 0.3, c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of i**3\/3 + 159*i**2\/2 + 1171*i. Let l(g) = 5*g. Calculate l(z(f)).\nAnswer: 10*f + 795","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 1 = g, -14*a = -10*a + 2*g - 8. Suppose -2*p = -3*p. Suppose -1366 + 1266 = -20*s. Sort s, -2, a, p in descending order.\nAnswer: s, a, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 7 - 3*k**2.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 42 = -0*t. Calculate the remainder when (-4)\/(-1) - (-42 + 6) is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, o: 1, v: 1, a: 2, j: 1}. Give prob of sequence aa.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 p when two letters picked without replacement from {o: 3, w: 1, v: 1, r: 10, p: 3, n: 1}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*n + r, 21 = -4*n - 4*r + 1. Let y(f) = 3*f**2 + 3 + 0 - 3 - 8*f + 4. Let m(g) = 16*g**2 - 41*g + 20. Let b(l) = n*m(l) + 11*y(l). Determine b(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1918474891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1432075 a multiple of 602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61766 is divided by 142.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 733517 is divided by 31.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -277, -554, -831, -1108, -1385, -1662?\n\"Answer: -277*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/3)\/((-16)\/(-48))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = s, 5*q + 0*s - 2*s + 26 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 7 - 46 = 3*u, y - 12 = 2*u. What is the remainder when (y\/4 - 3)*82 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 59\/10 - -273\/10. Let v = r + -34. Let u be (-4)\/18 - 180\/(-81). Which is the closest to 6? (a) 3 (b) u (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, w: 1, j: 1, f: 1}. Give prob of picking 1 j and 1 v.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 6:53 PM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - t + 2)*(-4*t + 5*t + 3*t)*(-176 + 256 + 111).\nAnswer: -764*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -303*v = -307*v + 56. Is 3 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12128947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 2*r + 4*y - 9, 4*r = 4*y + 16. Suppose -3*u = 2*n - 71, -87 = -2*u - 2*u + r*n. Solve 4*i = 3 - u for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9506634 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - 2*k. Let t be c(0). Suppose t = -2*x - 17 - 7. Let o = 34 + x. What is the smallest common multiple of o and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/7))**(-3\/11)\/(((p**(1\/7)\/p*p)\/p)\/((p**5\/p)\/p)) assuming p is positive.\nAnswer: p**(303\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j. Let n(a) = -2 - 5*a + 0*a - 2 + 5. Let k(v) = -n(v) - 6*r(v). Suppose -22 = 5*p - 2*g, -p + 2 = 3*g + 3. Determine k(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 0.287?\nAnswer: -0.0287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1817*k**2 + 110*k + 7 wrt k?\nAnswer: 3634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 8 + -9 + 12 + -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 73*h - 870. Let m be n(22). Calculate the highest common divisor of m and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -84 + 90. Solve -5*s = c - 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/21 - (-13)\/91?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8 + (2\/6 - (-57385)\/15). What is the greatest common divisor of 54 and h?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -2*p - 2*v, 13 + 20 = p + 3*v. Let x be (-9)\/(-6)*(5 + -3). Suppose -x*d = -2*d - p. Is 12 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + (26 - -37) + -37?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49 + 8 + 2)*(-j + 6*j - 3*j)*(-2 + 3 + 1).\nAnswer: 236*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -4*b**2 + 7*b**2 + 62 - 4*b - 2*b**2 - 67. Give w(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 876*a**2*s**3*w**3 - 94142*a**2*s**3 - 98*a**2*s**2*w**2 + 59*a**2*s**2*w - a**2*w**3 + 1330*a*s**2 wrt s?\nAnswer: 5256*a**2*w**3 - 564852*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 23103 * -0.4\nAnswer: -9241.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -j + 4*x - 23, 4*x - 17 = j. Does 12 divide j\/15 + (-848)\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -4*p**3 - 2*p**2 + p + 4. Let d be b(2). What is the common denominator of d\/(-4)*40\/32 and 13\/20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*g = 1359 - 1143 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + c**2 + c + 1. Let k(q) be the third derivative of q**6\/30 - q**5\/60 - q**4\/12 - q**3\/3 + q**2 + 13*q. Give -2*g(i) - k(i).\nAnswer: -2*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215*b - 450*b - 505*b + 8880 = 0 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 3*y**2 - 2*y - 5. Let g be m(-3). Let l = 1 - g. What is the third smallest value in 7\/5, l, -0.1?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2381?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + 9*l + 13. Calculate j(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-28)\/(-2968))\/(1 + 12\/16 - 2). Which is the closest to -1? (a) o (b) -0.3 (c) -5\/6 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 4, 1\/6, 0.2, 0.5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 14*b**2 + 1. Let l be j(1). What is the remainder when 790 is divided by l - 3*(1 + -2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -2*y - 14, 0 = 5*y + 3*d - 6*d + 75. Let m = -8 - y. Suppose -g = -m*g + 78. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 99348 + -55859. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-16)\/10 - -2) + 460\/100. Solve 5*a = 4*m + 29, 3*a - k*m - 25 = -a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1)*g*g*g**(-2\/7))\/(g**0)**(-16) assuming g is positive.\nAnswer: g**(5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(180) + (3*sqrt(30))\/sqrt(6) + 2.\nAnswer: 1 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -125924, -125926, -125928, -125930, -125932?\nAnswer: -125934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 5:37 AM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 180, 555, 1144, 1941, 2940, 4135, 5520?\nAnswer: 7089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) 21 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*j + 4*v + 2, -j = 5*v - 7. Let f be j\/(-8)*(-3183)\/6. Let t = -133 + f. Is t >= -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*a + 17. Suppose -4*c = -7*c - 21. Let t = c - a. Solve k - t = -6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-10) + (-86)\/(-172).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 402 is divided by 386?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 - 20. Suppose x = g + 4*t - 25, 2*g + 5*t - 96 = -g. What is the second derivative of 37*l**2 + 7*l**3 + 6*l - g*l**2 - 2*l**3 wrt l?\nAnswer: 30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, o: 4, h: 1, m: 6, j: 4}. Give prob of sequence fmo.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l**2 + 2*l. Let p(w) = -3*w. Calculate p(t(d)).\nAnswer: 9*d**2 - 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 1. Let s(o) = 2*o**3 - 10*o**2 - 2*o + 6. Calculate 6*i(y) - s(y).\nAnswer: -2*y**3 + 10*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j + 26. Let u be d(-21). Suppose 0 = 5*o, -u*r + 3*r - 4*o + 14138 = 0. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 9:36 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 11:33 AM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 7623?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4896.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6618686 centuries to millennia.\nAnswer: 0.06618686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d**(-12)*d))\/d**(-10\/3)*d**(-11)*d*d**2*d assuming d is positive.\nAnswer: d**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(14\/(-2) + 2). Suppose -g + 20 = 4*g. Suppose 0 = 4*o - g, -6*u + k*o + 67 = -3*u. Calculate the greatest common divisor of 192 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-10)*u)**(2\/65)*u\/(u\/u**1)*u\/(u\/u**(24\/11)))**(-38) assuming u is positive.\nAnswer: u**(-78926\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32168 and 20?\nAnswer: 160840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4) + sqrt(64)*-1)\/sqrt(2).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 635\/4 - 158. Let w = -215\/72 - -28\/9. Let f = -15.37 - -14.87. Sort a, -6, f, w in descending order.\nAnswer: a, w, f, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 - 5*b**2 - 11*b**2)*(b**2 - 3 - 3*b**2 + 4*b**2).\nAnswer: -32*b**4 + 48*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/5 in 1, 4\/3, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4302?\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -7*c - 18. Determine d(-7).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-8)*j*j*j\/(j*j*j**10*j*j))\/((j**(-7)\/j*j)\/(j*j**(-3\/11))))**(-1\/16) assuming j is positive.\nAnswer: j**(31\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pmp when three letters picked without replacement from {m: 2, p: 2, i: 1, g: 14}?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10449 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 271, 235, 205, 205, 259, 391?\nAnswer: 625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 5*r - 105, 2*v + 3*r = -0*v - 47. Let c(a) = 2*a**2 + 24*a - 23. Let g be c(v). What is the greatest common divisor of g and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 6. Let i = 1 - j. Suppose i = s - 1 - 52. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -19. Suppose 17 = -3*y - 1. Let f be 59\/4 + (-2)\/48*y. What is the greatest common factor of f and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 232384?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 13*a**2 + 10*a - 24. Let k be y(-12). Solve -10*s + 14*s = k for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 9, -3\/4, 0.2, -2, 7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 2 - (17 - 8 - 4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 1023?\nAnswer: -1032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35 and 56?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 143491211 to the power of 1\/2, to the nearest integer?\nAnswer: 11979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2.71 times 118\nAnswer: 319.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 47446.27cm in kilometers?\nAnswer: 0.4744627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1050 (base 11) to base 15.\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of 484*a**6\/15 + 110*a**5 + 757*a**4\/6 + 50*a**3 + 9*a**2 + 39*a + 4. Factor i(t).\nAnswer: 2*(t + 1)**2*(22*t + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2624\/9 - 292. Put k, -2\/19, 0 in descending order.\nAnswer: 0, -2\/19, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 164 + -162. Let s(x) = -x + 12. Let v be s(9). Solve 2\/7*o**v - 2\/7*o**f - 4\/7*o + 0 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -5*g - 15. Let i = -28 - -39. What is the remainder when r(-7) is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 6*k**2 + 2*k - 1. Let a be v(5). Let q = -2016083\/36 + 56006. Calculate the common denominator of ((-2)\/(-3))\/(a*2\/(-380)) and q.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) -0.06 (c) 0.5 (d) -1115\/14 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-5 - (-54)\/12)*(-8 + 3)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, o: 1, g: 1, e: 1, k: 2, f: 1}. Give prob of sequence oe.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirty-one halves of a tonne?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 0.13\nAnswer: 0.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 9) to base 7\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2775993 + -5.163?\nAnswer: -2775998.163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 11:12 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 3*u - 5. Let l be v(-5). Let o(b) = 5*b - 9*b**2 - 5*b**2 + 5*b + 2*b**2 + 14 + b**3. Let m be o(11). Sort m, l, -4.\nAnswer: -4, m, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) 25 (c) -1445 (d) -1 (e) -1\/4 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 4, -8, 5, -2524.\nAnswer: -2524, -8, 0, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**3 + 2*h**2 - 66*h + 126 = 0. What is h?\nAnswer: -7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 400 divide 4297200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -107 - (11 - (-110 + 126))?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -2*h + 454, 5*d = 2*d + 3*h + 699. What is the greatest common factor of d and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o**15*o)))**40*o**(-1)\/(o*o**(-14\/9)) assuming o is positive.\nAnswer: o**(5756\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -692 and -49967.\nAnswer: -50659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42005 is divided by 77?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 26, 2, 4, 44, 134, 286, 512, 824?\n\"Answer: 2*t**3 + t**2 - 41*t + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 1:09 PM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n**2 - 991*n + 6 + 991*n. Let u(y) = -y**2 - 1. Give -l(d) - 6*u(d).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22905976?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220*o - 1762*o - 97412 = 30897 - 29209 for o.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwbhwbhwwwbb. What is prob of sequence ww?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 n when two letters picked without replacement from hanxa?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -67 - -89. Suppose 28 = 5*r - c. Solve 3*m + r = -u, 3*m - u = 2*m - 6 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, o: 1, r: 1, c: 1, j: 1}. What is prob of picking 1 j and 1 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 449 = 35. Suppose -12*c = 21 - w. Solve 0*l + 20 = c*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.632 - 0.432. Let w be (-35)\/15*((-2)\/7 + 0). Let f be 13\/15 - 8\/8. Which is the nearest to 2\/9? (a) f (b) w (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -732.\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 436014 by 3.\nAnswer: 145338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**0*(f\/(f\/f**(-14)))\/f*(f*f**10\/f*f*f)**(-36) assuming f is positive.\nAnswer: f**(-447)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 12103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -6\/4481?\nAnswer: -6\/4481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 13 + 0 + 2*d**2 - 48 - 869*d.\nAnswer: 2*d**2 - 869*d - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + s = -12, 3*u + u - 4*s = 28. Suppose -15 = -u*r + 5. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 16*x**3 + x**2 - 2*x + 1. Let a = -15 + 16. Let w be c(a). Calculate the greatest common factor of 64 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.9 and 0.0500763.\nAnswer: -0.09514497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 104708363 to the nearest integer?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaazzaaz. What is prob of picking 1 a and 1 z?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -468 divided by 156\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 113*h - 12. Calculate p(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 48*n**2 + 2*n - 1. Let l(v) = -95*v**2 - 3*v + 2. What is 4*l(c) + 7*p(c)?\nAnswer: -44*c**2 + 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-21) - (-11)\/(-3)) + 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = 5*k - 11*m + 51, 4*m + 37 = -3*k. Let s(c) = -c**3 - 10*c**2 + 12*c + 5. Determine s(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3*d + 10, -4*h - 3*d = 1 - 6. Suppose -3*u - 17 = -h*g, -g = 3*g - 3*u - 16. Solve r + g = 2*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**2 + 45*z. Let s(t) = 2*t. What is v(s(c))?\nAnswer: 8*c**2 + 90*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 123026305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -28 (b) 0.1 (c) -0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-3))\/((-6)\/36). Let p be 50\/(-66) + (-6)\/(-9). Which is the nearest to -1? (a) p (b) r (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 8:14 AM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2743 or 2742?\nAnswer: 2743","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 8:49 PM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - ((-182)\/(-56) - 12)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) -32 (c) -3 (d) -0.94\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 42847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/63? (a) -1\/8 (b) 0.3 (c) -315\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1221?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 407 - 382 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 192619?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-3)\/(-3))\/(27\/1459728)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1438\/17975)\/((-1)\/(-150))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 0 + ((sqrt(1700) - (sqrt(1700) + 1)) + -1)**2 + ((-1 + (sqrt(1700) + -2 - sqrt(1700)))**2 - sqrt(1700)) + -5.\nAnswer: -10*sqrt(17) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 16 - 1 - (-21 - -21). Let p be (20\/l)\/((-1)\/(-4)). Suppose -3*u + 22 = 10, p*u = -v + 42. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**0)**(5\/8))**(1\/64) assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 471*u + 1. Let f be l(1). Let r = 889 - f. What are the prime factors of r?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - o = 2*o + 23, 0 = 5*q - 4*o + 20. Calculate the remainder when (2\/3)\/(q\/(-36)) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74586451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjf when three letters picked without replacement from ffffjfjjfff?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15.7 + -15.7. Which is the nearest to 1? (a) 0.5 (b) u (c) 11 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2363 + 942. List the prime factors of w.\nAnswer: 5, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -15, 2*o + 43 = -d + 33 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 82 - 46. Suppose 10*b = 82 + 198. Suppose -a + 2*o = 7*o - 22, -2*a - 2*o = -b. Calculate the greatest common divisor of a and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**4\/5 - 249*t**3\/5 + 1421*t**2\/5 + 8961*t\/5 + 1458 = 0. What is t?\nAnswer: -3, -1, 10, 243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 250048681 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3440 = 4*c + c. Let z be (c\/(-20))\/((-4)\/(-10)). Suppose 5*v - 4 - z = 0. Is 9 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (123\/(-9) - 2\/6)\/(-55 + 6642\/123)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 5*f = 5*l + 14, 10 = -l + 4*f. Which is the closest to -0.1? (a) l (b) 2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8784 + 3371. Let n = q - 12147.9994. Let l = -7 + n. Round l to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-78)\/(-26))\/((-13)\/(-12)))\/(26\/169)*-6?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 3*g + 10 + 2, 0 = a - 5*g - 19. Let y(s) = -s**2 - 5*s - 5. Let i(k) = -3*k**2 - 9*k - 10. Let t(x) = 2*i(x) - 5*y(x). Determine t(a).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 82.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 24 = -30. Suppose 38 = k + 2*i, 0*i - 125 = -3*k + 5*i. Let m = b + k. Is 11 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}