diff --git "a/data/dm_maths/full_data/10832_11255.jsonl" "b/data/dm_maths/full_data/10832_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10832_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let x(u) = -u**2 + 3*u + 3. Let t(g) = 6*g**2 - 17*g - 17. Let w(d) = 6*t(d) + 34*x(d). Let p(i) = 1416 + 3*i + 17*i - 1416. Determine w(p(q)).\nAnswer: 800*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a millimeter in micrometers?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 + 18*q - 20. Let n be g(15). Suppose 4*h = 59 + n. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 5*k**2 + 5*k - 7. Suppose 5*l + 38 = -12. Let u be 1\/((l\/(-12))\/(-5)). What is p(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-390)*5*11 - (1 + 0)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-728)\/(-24) - 7)*48930\/49?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/4)\/((-2)\/2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(6\/30*-3). Solve 4*g = -2*x + 24, c*g + x - 2*x - 23 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 12*x**2 + 19*x + 10. Let z be y(10). Find q, given that -8*q**3 + z*q**3 - q**4 + 0*q**4 - 3*q**4 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000821 to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 9*d. Let o(b) = 8*b + 10. Let w be o(7). Let m = w + -60. What is the remainder when h(m) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1852474ml in litres?\nAnswer: 0.0001852474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5651, -11258, -16865, -22472?\nAnswer: -28079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 10:09 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lalala. Give prob of picking 3 l.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(-12) - -1)\/(-2).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((87822\/(-410))\/(-119))\/((-18)\/(-960)).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1153433 and 10?\nAnswer: -11534330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 224993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -264, -2, 0.2, 4, 5\/6 in descending order.\nAnswer: 4, 5\/6, 0.2, -2, -264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 21, -1, 3, 1, 0, 50?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, f: 2, b: 4}. What is prob of sequence oobf?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 133 = 3*v, 0*v + v = 5*a + 51. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 46*p**2 + 560*p + 775. What is q(-20)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of 0*f**2 + 0 - 20*f - 1\/3*f**3. Let u(o) = 13*o. What is t(u(h))?\nAnswer: -26*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 28214227519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 13. Is 8 <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72807.\nAnswer: 3, 7, 3467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*k + 550 = -134*k + 28*k for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/((-12)\/14)*(-32)\/8. What is the derivative of 27 - i*h**3 - 57 - 26*h**3 wrt h?\nAnswer: -120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 857?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 12975468404736?\nAnswer: 12975468404725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -10 + 23 + -36 - -44.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - (-2)\/(-4)*10. Let u be (-2)\/10 - 16\/h. Solve -3*t = 3*i + 3, -9 = -i + u*t + t for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53 = 9*k - 16*k - 5*o, -3*o = 5*k + 31 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-16)\/(-20))\/(2\/5). Suppose 0*o = -4*o + 56. Calculate the remainder when o is divided by 2 - (-10)\/n - 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3582277670 to the power of 1\/2, to the nearest integer?\nAnswer: 59852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 192 + -191. Is 3\/56 at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229*x = 238*x - 18 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bie when three letters picked without replacement from {i: 5, e: 2, l: 3, b: 9}.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*v**3 + 0*v**4 - 11*v**2 + 3*v**3 - 10*v**4 wrt v.\nAnswer: -240*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 385*x + 389*x + 17*x**2 - 665*x + 0*x**2 - 4*x**2 to y + p*x**2 + l*x and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 7*r**3 + 2*r + 520. Does 26 divide p(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -7*h**2 + 2*h + 4. Let x be p(3). Let q = 130 + x. Let u be (2\/3)\/(2\/33). Calculate the highest common factor of u and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + 4. Suppose -y*d - 11 = -16*d. Let q = 66 - 47. Calculate the remainder when q is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -12*i. Let x(y) = -10*y**2 + 8. Let h(p) = 16*p**2 - 12. Let d(r) = 7*h(r) + 10*x(r). Determine d(m(c)).\nAnswer: 1728*c**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -28 - ((20 - (-15 + 26)) + -23)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/18 and 2537\/(-645) + (-5)\/6.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -6*x**2 + 6*x - 17. Let h(q) = q**2 - q + 3. Suppose 4*j = -m - 18, 144 = -5*m + 3*j - 38. Let l(k) = m*h(k) - 6*w(k). Find f, given that l(f) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18094 is divided by 31.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*v + 34*v + 22*v + (1 + 3 - 2)*(v + 0*v + 0*v))*(2*v**2 + 4*v**3 - v**2 - 5*v**3).\nAnswer: -90*v**4 + 90*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - (-70)\/(-3 - 2). Let y = -10 - v. Suppose f = 3*i + 28, y*i + 24 = 2*f - f. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/2)\/(2\/(-8)). Let p = m - -21. Let n = -4 + 6. What is the smallest common multiple of p and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -3. Let c(b) = 189*b**3 + 183*b**3 - 1 + 180*b**3 - 553*b**3 + b**2 + 2*b. What is c(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 328*g**3 + 600*g**2 + 10*g - 85309197 wrt g.\nAnswer: 984*g**2 + 1200*g + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - d = 4. Let f(x) = 15*x**2 - 48*x - 62. Let j(a) = 4*a**2 + a - 1. Let s(z) = d*f(z) - 3*j(z). Differentiate s(l) with respect to l.\nAnswer: 6*l - 51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 - 3 = 1984*p - 1982*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 769*m + 14624. Suppose 0 = -2*f + 6*f - 460. Calculate the remainder when f is divided by a(-19).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.126275 - 41.7.\nAnswer: -41.826275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 18*t**2 - 2. Let d(v) = -v**2. What is z(d(a))?\nAnswer: 18*a**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*v + 46 - 284 - 74 = 0. Suppose x - 3*g - 3 = 0, -6 = x + 2*g + 16. Let b = 3 + x. Which is smaller: b or v?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 1162 = 2*c, 0 = -4*f + 14 - 6. Round c to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 372\/11 + 2\/11?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0298 + -70.0298. Let p = 66 + t. Which is the nearest to 1\/3? (a) 0.3 (b) p (c) 3\/2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3101 + 351. Let t be (-2)\/(-9) + r\/18. Let w be (-2500)\/(3\/t*-2). Round w to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/15*1 + 12\/(-9). Let d be ((-3)\/6)\/((-5)\/(-40)). Sort d, -1, 5, r.\nAnswer: d, r, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 568\/16 - (-2)\/4. Suppose -a = -4*t + t. Is 7\/28 - (-1377)\/t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -4*c**3 + 5*c**2 - c. Let r(h) = 4*h**2 + h. Let i be r(-1). Let j(u) = -9*u**2 + u**i + 8*u**2 + 0*u**3. Determine 3*j(y) + l(y).\nAnswer: -y**3 + 2*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (96\/(-480))\/(14\/5)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 8.65. Let n = p + 2.75. Let o = -41\/21 + 16\/7. What is the nearest to -8 in -3\/2, n, o?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5605066 (base 9) in base 13?\nAnswer: -81755a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-6))\/(-1*(-2)\/1).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 + -2 - -13) + -12?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 88 = -20. Let n = o - 53. Let b be (-1 - (-2 - -2))\/(n\/(-7)). Sort 1, -3, b.\nAnswer: -3, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 greater than or equal to 118037?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 839.160008 + -839.49. Let r = 0.33 + j. Round r to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -198 + 202. Solve -4*r = t*r + 8 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -360*x + 880 + 371*x - 880.\nAnswer: 11*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-50)\/(-15) - 0)*27\/18. Suppose 3*x + 15*r = 11*r + 35, h*r = -5. Solve -3*q - b = 2*q + 16, -3*q - 4*b - x = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -6, 343*j + 7*w - 53 = 346*j for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 9:48 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -163 + 155. Is (-11 - l) + 12610\/1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 749*v = -753*v + 8, -2*p + 3*v = -9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 160706 rounded to the nearest one thousand?\nAnswer: 161000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 140487 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 3 + -4 + -5 + 6. Let b be -3*1\/(s\/(32\/12)). Solve -b = c + 3*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 606473\/28396392 - -4\/14977. What is the common denominator of v and 40\/33?\nAnswer: 20856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149069700 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-3))\/((52\/3)\/13)*40.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -61371, -61375, -61381, -61389, -61399, -61411, -61425?\n\"Answer: -r**2 - r - 61369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (65\/78*(-3)\/30)\/((-7)\/(-8))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r - r - 3*r + 0*r - r + 2*r + (2*r - 1 + 1)*(3 + 6 + 3) + r - 1 + 1 to the form g + a*r and give a.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5174851 - -4\nAnswer: 5174855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -19 (base 16) to base 4\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-11)*((-112100)\/48 + 6). Let s = -847 + z. Do 1 and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.91 times 9\nAnswer: -44.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vee when three letters picked without replacement from {n: 1, e: 2, v: 1, x: 2, f: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1269871*a**2 + 708500 wrt a?\nAnswer: -2539742*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -687*m + 274*m + 2*m**2 - 771 + 418*m.\nAnswer: 2*m**2 + 5*m - 771","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of s**3\/3 + 5*s**2\/2 + 3*s + 9. Let v(c) = -c**3 + 6*c**2 + 5. What is the remainder when h(-6) is divided by v(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -324, -770, -1298, -1908?\nAnswer: -2600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11631 - -11729. Solve -38*z + 24*z + m = 0 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -3, 431, 43, 8 in ascending order.\nAnswer: -4, -3, 2, 8, 43, 431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jkffjkkkkejjfji. Give prob of picking 1 i, 2 j, and 1 k.\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 12:00 PM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 498749263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44.8332 + -0.0432. Let u = i + -44. Let g = u - 1. What is g rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t. Let p be 14\/(-98) - 450\/(-14). Let n(l) = 130 + l**2 - 64 - 66 - p*l. Determine n(s(v)).\nAnswer: 4*v**2 + 64*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(-4)\/250*(-2)\/(-26)*13?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence exj when three letters picked without replacement from jwlvvxjjxvjje.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 + 13*q - 33. Let s be g(4). Solve 4*h = -3*f, -f = -s*f - 3*h for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - r + z - 14 = 0, 5*r - z = 100. Suppose -5*d - 4*g + r = -6*g, d + 7 = 4*g. Suppose u - 13 = d. Calculate the highest common factor of 90 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1270151777 a multiple of 293?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -75*t**2 + t + 1. Let f be m(-1). Let d = 48 + -75. Let i be f\/(-216) + 6\/d. Do 0 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 145282.787 to the nearest ten thousand.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 73851 and 15.\nAnswer: 369255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 522190 is divided by 473?\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 4*m + 4. Let z be r(-3). Let j = 124 - 64. Suppose 5*u - 48 = l, -5*u = -4*l - l - j. What is the highest common divisor of z and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b + 2b45?\nAnswer: 2b54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 399 and 122037.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00518448 to 5 decimal places.\nAnswer: -0.00518","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -156 or -162?\nAnswer: -162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10862 by -118.\nAnswer: -5431\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4266 divided by -18?\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 464*p**3 - p**2 + 3*p - 1. Give a(1).\nAnswer: 465","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z, 1 v, and 1 p when four letters picked without replacement from zpvvzvvpvzzvp?\nAnswer: 108\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, -4, -2\/19, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 6:19 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1605970 is divided by 15442?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26\/15 + -4\/3. Let q(s) = 16*s - 46. Let y be q(-5). Let u be 2\/3*(-3 - y\/48). Which is the closest to 0.1? (a) u (b) i (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*l**2 - 5*l**2 + 4*l**2 + (l + 3*l - 2*l)*(5*l - 2*l + 2*l) - 5*l**2 + 0*l**2 - l**2.\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/1620104 and 1\/2120.\nAnswer: 8100520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of m**6 - 2410*m**5 + 4*m**3 + 6584*m**2 wrt m.\nAnswer: 120*m**3 - 144600*m**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111010000 - 11111?\nAnswer: 1110110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - 11. List the prime factors of 24 + (-3)\/(15\/b).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1481016, -1481015, -1481014, -1481013, -1481012, -1481011?\n\"Answer: n - 1481017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -4*d**2 + 5*d - 4. Let r(s) = s**3 + 24*s**2 + s + 16. Let f be r(-24). Is z(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 7*s**3 + 18. Let x(j) = -j**3 - 1. What is t(r) + 5*x(r)?\nAnswer: 2*r**3 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 143, 1122, 3781, 8960, 17499, 30238, 48017?\nAnswer: 71676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**5\/3 + 217*m**4\/3 - 4063*m**3 + 45551*m**2\/3 - 10058*m\/3 - 22672 = 0.\nAnswer: -1, 2, 3, 104, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 9*t**2 - 6*t - 14. What is the remainder when 13 is divided by o(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 13 + (-41 - -11) + 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -26104 equal to -26104?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43907*x + 43912*x - 103*d = 1148, 3*x - 3*d - 42 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-364)\/28*47*(-21)\/273?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1597900902?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 0 + 1 + 2*(sqrt(1216)*3*3 + (-5*(sqrt(1216) + -2))**2) + -4.\nAnswer: -1456*sqrt(19) + 61001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 23\/(-2)*(-1 + -1). Suppose 0 = -o - 5*o - 486. Let z be 6\/(-27) - 180\/o. Solve 7 = -2*s + p, 3*s + 3*p = -z*s - q for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 498 and 6284058?\nAnswer: 521576814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20422\/7? (a) 2\/13 (b) 4.8 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/124006 and -43\/152?\nAnswer: 9424456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/18 of a day in seconds?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18*20\/(-200)*10\/(-6). Solve g - 7 = -s + c*g, -4 = 2*g for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(4\/9)*t*t*t\/((t**1\/t)\/t)*t)\/(t**(1\/3)*t**4) assuming t is positive.\nAnswer: t**(10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3147087?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of -t**6\/120 + t**5\/5 + t**4\/8 + t**3\/2 + 8*t**2. Is r(11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -5*c**2 - 4*c - 2. Suppose -5*g - 2 = 8. Let u be b(g). Let w = -13 - u. Which is smaller: 4\/13 or w?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 - 3*i**2 + i**2 + (2*i - 2*i + 2*i)*(-3 + i + 3) + 7*i + 2*i**2 - 7*i)*(-2*i - 5*i + 0*i)*(-1 + 3 - 1).\nAnswer: -21*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37870.0000019091 + -37870. Round c to 7 decimal places.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13 and 5?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -4, -3, 5, 11261?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -311118*-8.\nAnswer: 2488944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 20, 35, 38, 23, -16, -85?\n\"Answer: -p**3 + 22*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-1*((sqrt(5) - (sqrt(60)\/sqrt(3))**2) + sqrt(5))*5.\nAnswer: -20*sqrt(5) + 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*n - 4*n**2 - 17*n + 35*n.\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 186681, 186067, 185453, 184839?\nAnswer: 184225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2.58 * 0.031\nAnswer: -0.07998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -c**5\/30 + 5*c**4\/24 + 5*c**3\/9 - 5*c**2\/3 - 4*c - 438. What is l in b(l) = 0?\nAnswer: -2, -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2898696637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - 14*r + 3. Calculate p(14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.018 and -17227008?\nAnswer: 17227008.018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 12222121121?\nAnswer: -12222121200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -2*w + 75 - 72, -2*w + 13 = i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of n**4\/12 + 4*n**3\/3 + 17*n**2\/2 - 31*n - 23. Let w(g) be the first derivative of y(g). Is 34 a factor of w(-17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 10 = o - 6*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18886\/5611 - 104\/31. Which is bigger: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of 9*r**2\/2 - 154*r + 39. Let u be q(18). Let b(n) = n**2 - 9*n + 5. Calculate b(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -390 and 392?\nAnswer: -152880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -35*r**3\/3 - 5*r**2\/2 - 5*r + 1995. Let i(o) = -34*o**2 - 4*o - 4. What is -5*i(d) + 4*x(d)?\nAnswer: 30*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + -3. Let b be (-4)\/6 - (-42)\/9. Let t(x) = b*x + x**2 + 0*x**3 + x**3 - 8*x. What is t(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - q - 4*q)*(127*q - 29*q + 228*q - 27*q).\nAnswer: -598*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3 (b) 3\/2707 (c) -0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -4*i**2. Let z(l) = -5*l - 2. Let m(x) = -18*x + 24. Let u(j) = -m(j) + 4*z(j). Determine p(u(h)).\nAnswer: -16*h**2 - 512*h - 4096","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 28 = 0, 12*x - 7*x = 5*c + x - 66 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(5\/6))**20*(j\/(j**(-3)*j)*j)**19)**(-2\/5) assuming j is positive.\nAnswer: j**(-676\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(4\/7)\/(x\/x**(-2))*x**(-7)*x\/x**(-2\/21) assuming x is positive.\nAnswer: x**(-25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-150)\/(11 - 21) - 2. Let c(x) be the third derivative of -2\/3*x**3 - i*x**2 + 0*x + 1\/12*x**4 + 0. What is c(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 186 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -2*m + 14, -3*r = m - 2 - 1. Let g(b) = 2*b**2 - 7*b + 13. Let z be g(m). Let c be z\/48 + (-2)\/6. Which is greater: c or 5\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2377631 - 2377631 + 23174*p**2.\nAnswer: 23174*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 6. Let w be 1*f\/(2\/(-25)). What is the units digit of (-2)\/8 + w\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - 1. Let h be u(-2). Let g be (-1 + h)\/((-2)\/(-5)). Suppose -36 = -g*c + 2*c. Solve 3*r = -0*r - c for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g - 11. Let y be i(-8). Let l(c) = c + 4. What is the units digit of l(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*n + 7\/6*n**4 + n**3 - 7\/2*n**2 + 2.\nAnswer: (n - 1)**2*(n + 2)*(7*n + 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d - 5*u + 11, 4*u = 311*d - 314*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 128296 and 10304?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -10.7. Which is bigger: 0.1 or q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -84*r**4 - 2*r**3 + 60*r**2 - r wrt r?\nAnswer: -2016*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 531126388.\nAnswer: 2, 13, 2377, 4297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-5)*1*1015. Suppose 4*v + 48 + i = 5*o, -o - 2*v = -102. Suppose 55 + o = j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41261?\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77282?\nAnswer: 2, 17, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -600599, -2402295, -5405129, -9609101?\n\"Answer: -600569*a**2 + 11*a - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3754533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wxx when three letters picked without replacement from {w: 16, x: 4}?\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4 + -0.1. What is the closest to 0 in 2\/9, x, 2\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19d75 (base 16) to base 14.\nAnswer: -2a805","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/2*2550\/595. Solve -189*c = -192*c - q for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - 8*n + 3. Let v be ((-54)\/3)\/2 + 3. Let u be ((-9)\/v)\/((-1)\/4). List the prime factors of l(u).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -5*i**4\/2 - 44*i**3\/3 - i**2 + 68*i + 1188. Find the second derivative of b(o) wrt o.\nAnswer: -60*o - 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8 (b) 0.11 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 11*q**2. Let b(z) = -138*z**2. Give n(b(i)).\nAnswer: 209484*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -5*j, -j = y - 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, t: 1, g: 6, m: 1, e: 1}. Give prob of picking 1 e, 1 q, and 1 m.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.2 - 5. Let t = -0.1 - i. What is the nearest to -2\/5 in t, 0.1, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 + 32. Suppose -3*i = -4*n + 37, u = -3*n + 14*i - 9*i + 25. What is the remainder when 25 is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 6:48 AM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135835 - 31312 = 3796*l - 10020*l - 356053 for l.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 152369 divided by -3\nAnswer: -152369\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*s = 40*s - 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 178, 161, 98, -35, -262, -607, -1094?\n\"Answer: -4*a**3 + a**2 + 8*a + 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(((-32)\/(-40))\/((-36)\/30))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 - 8. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 4763644.\nAnswer: 5\/4763644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 104 + -97. Suppose -4*x + 9*m - t*m = -2226, -3*x - 4*m = -1697. What is the hundreds digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -1\/5 (b) -0.13 (c) 5 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 506*w**2 - 178*w**2 - 159*w**2 - 169*w**2 - 28*w**3.\nAnswer: -28*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/6 + 14149*g + 600582603\/2.\nAnswer: (g + 42447)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 10586, 10588, 10590, 10592, 10594, 10596?\n\"Answer: 2*q + 10584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/3 - -2 - -639997. What is n rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20885479 or -20885476?\nAnswer: -20885476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51889 is divided by 50?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -553*p**2 - 15*p + 421*p + 279*p**2 + 276*p**2 in the form s + i*p**2 + q*p and give q.\nAnswer: 406","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand n + n - 5*n + 3*n - 5*n + n + (4 - 1 - 2)*(n + n + 0*n) + (0*n - 3*n + 5*n - 3*n + 3*n - 2*n + (-1 + 1 + n)*(-5 + 5 + 2) + 0*n - 3*n + 2*n)*(3 - 1 - 1).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9252 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41348, 41624, 41902, 42182, 42464, 42748, 43034?\nAnswer: 43322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000008125 to 7 decimal places.\nAnswer: 0.0000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**1*s)\/s*s**(3\/7))\/(s*s**(-1\/2)*s*s**(-4)) assuming s is positive.\nAnswer: s**(41\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 - 179\/6. Which is the second biggest value? (a) 2 (b) 0 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/9*(-6918 + 3). What is r rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 789356.9m?\nAnswer: 78935690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*d**3 + 2*d**3 - 14*d**3.\nAnswer: -37*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 5*k = 5. Let q be ((-12)\/(-18))\/(k\/(-12)). Let w = 2440 - 2436. Solve a = -2*a + 2*g - 6, w*a + 4*g = -q for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 291254?\nAnswer: 2, 107, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6859f (base 16) to base 14\nAnswer: -b1aa3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (352 - 89 + 121)*(-1 + k**4 + 1) - 3*k**2 - 4*k**4 + 3*k**2.\nAnswer: 380*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 c when four letters picked without replacement from {d: 4, c: 10}?\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (303 - 597 + 295 - 380*q)*(-4*q**3 - q**3 + 2*q**3 + (-2*q + q + 5*q)*(-q**2 - q**2 + 0*q**2)).\nAnswer: 4180*q**4 - 11*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1277199?\nAnswer: 3, 7, 11, 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6993 divided by -333\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one twentieth of a milligram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -876, -873, -868, -861?\n\"Answer: q**2 - 877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-6)\/(-504)*-18*(-82)\/(-656)?\nAnswer: -3\/56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-7 - -11) + -10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1827, -1731, -1635, -1539, -1443?\nAnswer: -1347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**5\/9 - 95*i**4\/9 - 145*i**3\/3 + 1355*i**2\/9 + 436*i\/9 - 140 = 0. Calculate i.\nAnswer: -90, -7, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1729639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, o: 1, f: 3, e: 3, g: 4, p: 5}. What is prob of picking 1 b, 2 g, and 1 e?\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z. Let q(o) = 111475*o**2. What is q(y(a))?\nAnswer: 111475*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22552 - -10480.\nAnswer: -12072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.3? (a) -5 (b) -0.4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2670 divide 192579090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-13340)\/(-184)*(-8)\/(-30) - (14 - (-418)\/(-33))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 43 = -115. Let g = 244 + -22. Suppose 108 + 22 = 2*v - 4*n, 3*n = -3*v + g. Calculate the remainder when v is divided by m.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 100?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77 and 770.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 545 + -543. What is the third biggest value in -0.3, -37, f, -2\/11, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a day in minutes?\nAnswer: 2340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 26 = 2*t, 2*n + 2*t + 190625 = 190615 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2100) + -3*sqrt(2100) - sqrt(2100))\/(sqrt(300) - -6*sqrt(300)).\nAnswer: -3*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - (-1)\/2*14. Suppose -20 = -g - 4*g. What is the remainder when (-14)\/w*20\/(-7) is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 1053 = 7*i. Is i a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hssh when four letters picked without replacement from hhvvshhvsvvv.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -616*q + 103. What are the prime factors of r(-3)?\nAnswer: 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * 51.\nAnswer: -357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 + 35. Suppose 9*i = 14 - m. Let t(j) = -9 + 12 + i + 2*j. Let g(f) = -2*f - 5. What is 5*g(u) + 6*t(u)?\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3 + 3015*d**2 - 6039*d + 3021.\nAnswer: 3*(d - 1)**2*(d + 1007)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -ddc (base 16) to base 10\nAnswer: -3548","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -2, -2\/1633?\nAnswer: -2\/1633","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f - 14. Let u be s(10). Let p = 155 + -155.2. Let i(m) = 5*m**2 - 2*m + 1. Let g be i(1). Which is the closest to g? (a) u (b) p (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4 = 8. Suppose -m*w = -60 - 16. List the prime factors of w.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 x when two letters picked without replacement from {t: 12, c: 2, x: 4, u: 1}.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 12:36 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -15.1. Which is the second biggest value? (a) 0 (b) -5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7841.9658 to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300\/175*(-7)\/(-2) + 565?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -44934*k**2 + 22*k. Let v(o) = -3*o**2. Give m(v(f)).\nAnswer: -404406*f**4 - 66*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 371 a factor of 3309511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22401 + 22425. Let t = 17.3 - 17. What is the nearest to b in -2, -1\/5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10089.89 - 10089. Put y, -0.13, 0.1 in ascending order.\nAnswer: -0.13, 0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2368 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**2 - 2*i - 10. Suppose -3*u - 6 = -5*x, -48*x - 46 = -53*x - 2*u. What is the remainder when l(7) is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 4*r**2 - 4*r - 4. Let v be f(-3). What is the units digit of (3 - 8)*v + 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23586891 and 1709195.\nAnswer: 117934455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + 4\/(-2) - -65. Let z = y + -29. What are the prime factors of z?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - l + 1 + (29 - 26 + 38)*(0 + l + 0))*(-6*l**3 - 52*l**3 - 151*l**3).\nAnswer: -8360*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3\/6 - (-10 + 8 - (-95547)\/(-6))?\nAnswer: 3, 5309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u. Let w(i) = i. Let f(b) = 7*b**2 - 2*b - 3. Let o be f(2). Let y(a) = 3*a. Let x(d) = o*w(d) - 6*y(d). Calculate l(x(h)).\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from {m: 2, w: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5052, -20462, -46228, -82344, -128804, -185602?\n\"Answer: n**3 - 5184*n**2 + 135*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*j**4 + 4*j**4 + j**4)*(3*j - 7*j + 3*j) - 366*j**5 - 364*j**5 + 716*j**5)*(7 - 3 - 2).\nAnswer: -32*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 0*o + 80 = 0. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 3 (c) 43 (d) -4\/5 (e) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1774 - -0.5774. What is the closest to 2 in 1, 4, -2\/195, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -58763760, -58763757, -58763752, -58763745, -58763736, -58763725, -58763712?\n\"Answer: o**2 - 58763761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.02 + 0.02. Let o = 3.9 + -4. Let g = 0 + o. What is the nearest to -0.4 in 0.1, g, y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5180)\/555)\/((-11)\/(66\/(-8))) + 64\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2343, 2397, 2569, 2919, 3507, 4393, 5637?\nAnswer: 7299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w - 7. Let d(k) = k + 1. Let h(c) = -6*d(c) - v(c). Let r be 162\/(-9)*(-3)\/(-9). What is the units digit of h(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3118, -5, 32.7?\nAnswer: 32.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -1\/4*w**3 + 7\/4*w**2 - 3 - w = 0.\nAnswer: -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1796 + 23321 - 5300 + 30735 - 2396 + 95998)*(2*y - 4*y + 0*y).\nAnswer: -288308*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3003 + -3000. Sort c, -4\/5, -19 in decreasing order.\nAnswer: c, -4\/5, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 161 and 28.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -22*3\/((-9)\/(-7))*141\/658\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 + 10. Solve 8*k = x - 4 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 2:50 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -119 (b) 1 (c) 1.3 (d) 1\/8 (e) 0.4 (f) 588\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35809 = 4*x + 5*w, -26*w - 8959 = -x - 25*w. Is x a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - (-16)\/(-404)*(-190)\/(-8). Let f = 113\/202 - o. Factor -f*k**2 + 0*k + 2.\nAnswer: -(k - 2)*(k + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 2*x + 2*x + (4 - 6 + 1)*(3*x + 0*x - x) + 2*x - x + x + (1 - 1 + 2*x)*(-3 - 2 + 3) - 1 + 1 - x)*(-3 + 3 + 4 + (-12 + 6 - 2)*(-1 + 1 - 1)).\nAnswer: -48*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2035859 + 3*f + 2035841 - f as t*f + l and give l.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.5 + 5.3. Let c = r + -1. What is the smallest value in -3\/5, c, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -13*i - 336. Let w be l(-26). Let c(y) = 4*y**2 + 7*y - 13. Let b be c(w). Solve b*v = 21*v - 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10627 is divided by 75.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of 0*z**7 + 0 + 0*z**6 - 1\/112*z**8 + 0*z**3 + 0*z + z**2 + 0*z**5 + 1\/8*z**4. What is the second derivative of f(x) wrt x?\nAnswer: -60*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + -5 + (-20025)\/(-1175).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 9604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5551 + 15091 = 795*c for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 4*y**2 + 17048*y = 0.\nAnswer: -4262, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 448432, 448431, 448432, 448435, 448440?\n\"Answer: q**2 - 4*q + 448435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 271253321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2. Let z(c) = 267*c**2. Give z(l(o)).\nAnswer: 267*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 37, 80, 129, 190, 269, 372, 505, 674?\n\"Answer: q**3 - 3*q**2 + 45*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u = -3*r - 3*u - 29, 0 = -5*r + u - 19 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1*3973)\/((-6)\/(-78 + 6)). Suppose -4*s + 20 = s. Suppose -s*a = -k - 176324. What is a rounded to the nearest one thousand?\nAnswer: 56000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 7*a + 6. Let q be z(5). Let w be (-47)\/q - 7\/(-28). Let n be -2*(-267)\/w*2. Round n to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 54, 124, 222, 348?\nAnswer: 502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 33*o**2 - 12*o + 75. Let y(x) = x**3 - 16*x**2 + 19*x - 28. Let z be y(15). Let f be u(z). Calculate the highest common factor of f and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8 - -5)\/(7\/4 - 1). Let g be 338\/78 - v\/(-3). Solve 3*d - 6 = -g for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i - 3. Let y(m) = -m**2 - 27*m + 34*m - 2 + 14. Let r(s) = 9*w(s) + 2*y(s). Calculate r(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15293 = 19*f - 17178. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -52050915*p**3 - 32325*p**2 + 1388.\nAnswer: -312305490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-6))\/((-2)\/18). What is the units digit of 2\/z - 34\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 22*z**2. Let c(x) = 13*x. Determine h(c(j)).\nAnswer: 3718*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 + 582584*d**2 - 138881568*d.\nAnswer: 4*d*(d - 238)*(d + 145884)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 959407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44 (base 12) to base 11.\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 0.2\nAnswer: -0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5 - 30466*w + 15234*w + 15233*w - 207*w**4 wrt w?\nAnswer: -2484*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39) + 1*3*sqrt(39))\/sqrt(3).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007968 rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k**3 - 5*k + 1 + 0*k + 5*k to c*k + l + p*k**3 + d*k**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 4*m. Let s(p) = -3*p + 1. Let o(n) = -3*s(n) - 2*x(n). Let t be o(3). Solve t = 2*q - 0*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 971*y**2. Let f(z) = -71*z. What is l(f(u))?\nAnswer: 4894811*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 4*b - 24, -4*b = 3 - 23. Solve 4*v + d*r - 9 = 3, 5*r - 12 = -4*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/24*(-27)\/(-15) and -57\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v + 0*v + v - v + v - 2*v + 2*v - 3*v - v + (1 - 1 - 1)*(4*v - 2*v - v) + 3*v + 0*v - 4*v + 25632 - 14848 + 2791 + 28146 + v + v.\nAnswer: -5*v + 41721","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.21 + 0.21. Let j = -142453\/25571 - 2\/3653. Let x = j - -174\/35. Put x, p, -3\/4 in increasing order.\nAnswer: -3\/4, x, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 6 = 5*r. Let q(g) be the first derivative of -g**3\/3 + 7*g**2\/2 + 5*g - 39. List the prime factors of q(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -524 + 598. Suppose 0 = -25*o + s - 24. Factor -4\/7*m**o + 8\/7*m - 4\/7.\nAnswer: -4*(m - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -47863\/4 <= -2.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8493 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42880?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3*g + 5. Suppose 0 = 3*q - 3 - 6. What is the units digit of r(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-2*5\/(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -1 - -1) + -173 + 172 - 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 121197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1333220203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -c**5 - 128013*c**4 - 4094974971*c**3 + 118894231373*c**2 + 1032869487132*c = 0.\nAnswer: -64021, -7, 0, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1398?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*m - 74*m + 178*m - 66*m + 1 - 1.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 425919.06us?\nAnswer: 0.00000070423125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84 and 532.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -720*a**3 - 48390360*a**2 + 104848315*a - 56793295 = 0.\nAnswer: -67211, 13\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 2 q, and 1 v when four letters picked without replacement from {q: 3, v: 16, e: 1}.\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - 12 - (3 + -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -2*z**2 - 7. Let v(u) = 8*u**2. Give v(a(i)).\nAnswer: 128*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -9*s**3 - 5*s**2 + 15*s + 62. Let f(l) = 4*l**3 + 2*l**2 - 7*l - 31. What is 5*f(j) + 2*p(j)?\nAnswer: 2*j**3 - 5*j - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u**5*u)*u*u\/(u\/u**(-13))*u**(10\/3)\/u**(-3))**27 assuming u is positive.\nAnswer: u**(-261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 226394569 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cfca when four letters picked without replacement from {a: 2, f: 1, x: 4, s: 6, c: 2}?\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 783 is divided by 48.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uo when two letters picked without replacement from uoaa.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 222578468 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -670*m = -660*m + 70 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q + 179 = -5, g - 89 = -4*q for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -76 (base 11) to base 12.\nAnswer: -6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-63)\/6 + 2)*-118. Let x = -7033\/7 + q. Suppose 6*h - 41 + 59 = 0. Is h bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -3. Let m be (-10)\/(-50) - 78\/(-10). Calculate the highest common divisor of m and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8036324697*m + 8036324700*m - 16072649398*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -99808\/15 - -6654. What is the closest to -0.5 in 2.6, b, -0.1, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -3\/2 (b) -2\/23 (c) -1205 (d) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -h**3*r - 46*h**2 - 290*h*r + 2*r - 115761 wrt h.\nAnswer: -3*h**2*r - 92*h - 290*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m - 5. Let o(a) = -a - 5. Let z(l) = -2*d(l) + 3*o(l). Calculate the remainder when z(-7) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 440398191 is divided by 2152.\nAnswer: 2151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 12.7. Let o = x - 4.3. Let j = 4.99999984 + o. What is j rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -17305 + ((-9)\/(-1) - 4). What is j rounded to the nearest 1000?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-20)*3*1*40\/(-24)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.102 and 2.\nAnswer: 0.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - 9. Let q = -21 + 25. Suppose 5*v = -g*j - 25, q*j + 3*v = j - 15. Solve -2*i + j*i - 8 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -11 from 180.873.\nAnswer: 191.873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 230744589?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -r**4\/2 + 32*r**3\/3 - 14*r**2 - 6*r + 184. What is the remainder when 83 is divided by g(15)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1214 - z**2 - 789 + 1467 in the form d*z**2 + k*z + n and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-86 - 0)*(-1 + 9\/(-6)). Let n = -119 + y. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1630683 and 1227.\nAnswer: 1227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97189*a**3 + 20597*a**3 - 7*a**2 + 12*a**2 - 5*a**2.\nAnswer: 117786*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n - 18. Let u be v(8). Let a = u + 3. Let i(w) = 13*w + 8. Let x(l) = -10*l - 8. Let y(k) = 3*i(k) + 4*x(k). Determine y(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - v**2 + 1. Let z be f(-2). Suppose -g + 7 = 5*w, 5*g - 3*w - 4 - 3 = 0. Solve 0 = -3*d - g*d + z for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (179916\/(-435))\/(-94)*(-35)\/6*-3\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -451528.4935 rounded to the nearest 1000?\nAnswer: -452000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 7831*f - 1179. Let p be o(-6). Round p to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 62*r. Let h(u) = 2*u + 897. Give c(h(q)).\nAnswer: 124*q + 55614","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 times -48?\nAnswer: -2064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -63*h + 5402. What is v(93)?\nAnswer: -457","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 5:02 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17617038?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, v: 6}. What is prob of sequence nvvv?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -320956*d**3 + 59*d**2 + d + 66?\nAnswer: -1925736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -516 - -750. Is m a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5815*p + 2907*p - 1179*p**3 + 2908*p.\nAnswer: -1179*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -242526, -242527, -242528, -242529, -242530?\nAnswer: -242531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + x**2 - 15. Suppose -5*w = -40 + 25. Let f(z) = 4 - 7 + 3 + w. Determine 11*f(u) + 2*l(u).\nAnswer: 2*u**3 + 2*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 277*t + 317. Is l(5) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n + 2*n + 2*n)*(4*n**2 - 12*n**2 - 2*n**2)*(2 - 5 + 2)*(-5 + 3 + 1) - 5 + 5 - n**3 + (-n + 3*n - 3*n)*(n**2 + 4*n**2 - 4*n**2).\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.303 + 12.93. Let p = m + -0.027. Let v = 6 - p. Which is greater: v or 0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1334 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -1, -4, 4\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*q - 85*q - 81*q + 2 - 2 - 29*q.\nAnswer: -161*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 186 + -174. Calculate the smallest common multiple of 27 and l.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -0.08 (c) 1 (d) 3\/4 (e) -2\/5 (f) 188\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.613 - -0.813. Let h = -2 + -2. Let n = 1 - h. Sort n, q, 2\/9.\nAnswer: q, 2\/9, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*x + 558 = -63 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) -164 (c) 0 (d) 0.01 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 at least 770171243?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, 13, 52, 113, 196?\nAnswer: 301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12655102.\nAnswer: 2, 19, 333029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 2*i + 460, 43*o + 2*i = 44*o - 100. Is 5 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251041 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17364 is divided by 41.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 0.21, 1\/2, -1\/2, -1?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b + 4. Let o(m) = 4*m - 10. Let w(t) = 5*j(t) + 2*o(t). Let n(p) be the second derivative of -p**4\/4 + 11*p**2\/2 + 6*p. Give w(n(f)).\nAnswer: 6*f**2 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8346 and 101166?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -99 - (1 - (33 - -50))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - 4 - (-9 - -10).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1375, -0.9, -5924?\nAnswer: -5924","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.688 rounded to two dps?\nAnswer: 0.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19920.005193 + -19920. What is y rounded to 4 decimal places?\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -5*k**3\/2 + 75*k**2\/2 - 10*k + 10. List the prime factors of s(-27).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -20, 2 in decreasing order.\nAnswer: 2, 2\/7, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1617627.198 rounded to the nearest 100000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 422344 (base 5) to base 9\nAnswer: 21305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 12:46 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + 3*x**2 - 4*x + 3. Let m be s(-4). Let j be 2\/3 + m + 56\/(-12). Let h = -4.9 + 4.7. Sort j, h, -0.5 in descending order.\nAnswer: h, -0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*r - 1 - 5*r + 5 + 1.\nAnswer: -28*r + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qhhqhqhhhhhhhh. Give prob of picking 3 h.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 73961484?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 4*d**2 - 6*d - 3. Let v be a(-5). Let m be 18\/v - (-3 + 6). Solve 2*f + 6 = 5*y, -12 = -m*f + 2*f - 2*y for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 3*n**4 + n + 4 + 2*n**3 in the form c*n**3 + a*n + z*n**4 + h + v*n**2 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 4:03 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/5)*d)**(2\/69))**(-30) assuming d is positive.\nAnswer: d**(-16\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f - 32. Calculate m(-14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39 + 42. What is the second derivative of -5*t**i - 14*t + 7*t - 7*t wrt t?\nAnswer: -30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + -2. Let r(m) = -2*m**3 - 2*m**2 - 2*m. Suppose 0 = -108*f + 99*f + 72. What is the smallest common multiple of f and r(p)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -837, -6654, -22445, -53196, -103893, -179522, -285069?\nAnswer: -425520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -197*d - 362*d + 9 - 11 + 4 to q + v*d and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + 16*m + 27. Let o be (-168)\/78 - (6\/(-39))\/1. What is j(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooeooeooeeooooooeooo. What is prob of sequence ee?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 128\/120 + (1 - 14\/10). Which is the closest to -0.1? (a) -0.3 (b) -0.42 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -11 (b) 5 (c) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -173b (base 12) to base 7\nAnswer: -11054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3003 divided by -77\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h - h + 3*h + (-9*h + 16 - 16)*(-11 + 3 - 2).\nAnswer: 92*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 12:49 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/124 and 89\/248.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -308, -4695 in increasing order.\nAnswer: -4695, -308, -3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/1530 and -97\/1122.\nAnswer: 16830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20426*d + 4 - 4 + 19362*d.\nAnswer: 39788*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 528 and 4840.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + (-3 - -5)\/(-1). Suppose -t - i*t = -195. Is t a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 j when three letters picked without replacement from nnnnnnnzjnn?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23892.932817 + 21761.9345. Let i = w + 2131. Round i to 4 dps.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -11*x**4\/12 + 4*x**3\/3 - 11*x. What is the second derivative of m(d) wrt d?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 177\/430 in 1\/4, 1\/7, -3\/35, -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d - 2*d + 2*d + 5*d - d**2 to h*d + r + u*d**2 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -9, 1\/5, -346\/7, 12, 1\/9, -5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 269234*0.6\nAnswer: 161540.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 64\/17 <= 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 1\/6 (b) -54 (c) -10 (d) -1 (e) 0.4 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 352248 and 936.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 9*r + 8. Let u be o(10). Which is the smallest value? (a) 1\/3 (b) u (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163 = 3*p - 3*m - 38, 3*p - 185 = -m. Suppose 3*o - 47 = -5*h + p, 2*o = h - 9. What is the remainder when 34 is divided by h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 7 - 61 = 0. What is the remainder when j is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 202591*n + n**2 - 202591*n.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30466182 is divided by 2893.\nAnswer: 2892","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 130819?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223810 is divided by 109.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2528 + 8600 = -67*a - 197*a for a.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (2 - (6 - -3))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.85 and 3.\nAnswer: 2.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3734, -576, -5?\nAnswer: -576","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of x**4\/12 - x**3\/3 - x**2. Let d be c(2). Let z(a) = -d + 18*a - 10*a - 9*a. Determine z(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8429599 a multiple of 992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 50724 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.950222 + -55.0497813. Let r = q - -67. What is r rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 414860 to the nearest integer?\nAnswer: 644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76334?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 228, 236, 244?\n\"Answer: 8*g + 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j**4 - 2*j + 1 - 3*j**2 + 2*j**4 + j**2 + 0 as x*j + v + q*j**4 + z*j**3 + m*j**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 348311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 42742 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21316 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12141 - -12310. Calculate the remainder when 333 is divided by y.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7472?\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 337, 321, 303, 283?\nAnswer: 261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**2\/2 - 8091*v\/2 - 1933794 = 0. Calculate v.\nAnswer: -2076, -621","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/(-20))\/(1\/4). Let s be v\/(8\/(-6) - -1). Suppose -s*i = 1 + 8, 29 = z + 3*i. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5*m + 4 + 354 = 0, 3*j - 3*m = 528. Suppose 0 = 3*t - 5*t + j. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*n**2 + 85*n + 71*n - 301*n - 50*n**3 - 251*n - 72*n**3 wrt n?\nAnswer: -732*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1484 and 13149724.\nAnswer: 1484","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -231230*y**3 - 48930*y**3 - 8301*y**3.\nAnswer: -288461*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*k = 44, 50 = 2*a - 2*k + 14. Suppose -z - 2*z - 2*y + 29 = 0, 4*y + a = 0. Let w = -8 + z. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.08 and -83328353.\nAnswer: -83328352.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1\/y*y*y\/(y*y**(-15\/8)\/y))**15 assuming y is positive.\nAnswer: y**(465\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 229360121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -13394.2 times -0.089\nAnswer: 1192.0838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 7*c. Solve c - 1 = w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h**2 + 4*h + 6. Determine l(-5).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 418273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-1\/2)*n)**(12\/11)\/(n\/(n\/n**(1\/4)))**(-15))**(-25) assuming n is positive.\nAnswer: n**(-5925\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.82*11\nAnswer: 9.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(2\/7))\/z**(-2\/13)*(z*z*z\/z**(1\/3))**(-18)*z**(-2\/5)\/z**(-3\/4)*z**(-1\/2)*z*z\/(z*z*z**(-7)*z) assuming z is positive.\nAnswer: z**(-74093\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -g**2\/2 - 9*g - 782. Let t = -1 + 1. Give c(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 265.79 * -0.38\nAnswer: -101.0002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9184, 7343, 5498, 3649, 1796, -61?\nAnswer: -1922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of 1\/12*v**4 + 0*v + 2*v**2 + 4\/105*v**5 + 0*v**3 + 3 + 1\/420*v**6. Solve q(y) = 0.\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*v**2 + 147*v**2 + 1 - 12*v**2 + 423*v**2 as x + j*v**2 + p*v and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18 - -107015?\nAnswer: 107033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -960 - -1143. Calculate the least common multiple of t and 66.\nAnswer: 4026","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 3 + (3 - 0) + 23 + -21?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*c**3 + 0*c**3 + 1579185*c - 1579028*c.\nAnswer: 9*c**3 + 157*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 70*o**2 - 552*o - 30. Give w(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -574*l**6\/15 + l**4\/12 - 214*l**2 - 337*l - 1. Find the third derivative of q(g) wrt g.\nAnswer: -27552*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -62 + 59.95. Let g = 0.05 + l. Let t = 5 - 0. What is the third smallest value in 0.5, g, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -16 - (3 + -2 + 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1756\/5 bigger than 351?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -101*j - 5. Let r(m) = -859*m - 41. Let g(b) = -2*r(b) + 17*w(b). Let i(s) = s - 1. Let o(n) = 8*n - 4. Let a(h) = 4*i(h) - o(h). Calculate a(g(d)).\nAnswer: -4*d + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-4) - 5 - -9. Let b = 0 + d. What is the highest common factor of 6 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r**3 + 4*r**2 - 6. Give k(3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -500522\/9 or -55613?\nAnswer: -55613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -787*p + 33444. Determine h(41).\nAnswer: 1177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a litre in millilitres?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5045632 != 5045613?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135*t**2 - 30*t**2 + 4*t - 24*t.\nAnswer: 105*t**2 - 20*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m**3 + 49*m**2 - 20*m**2 - 27*m**2.\nAnswer: -3*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -2*l + 2. Suppose -l*c + d = -237 - 42, -5*c + 703 = 3*d. Calculate the greatest common divisor of c and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 4*x - 30 = 0, -3*f - 3 = -2*x + 13. Let j(h) = 2*h**2 + 4*h + 3. Let t be j(f). Suppose t*s - 9*s = -6. What is the nearest to 0.3 in s, 2, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -25*z**4\/2 - 109065*z**3\/2 + 698979*z**2\/2 - 266503*z\/2 + 13107 = 0.\nAnswer: -4369, 1\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 26260044 a multiple of 1524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 9*s**2 + 22*s. Determine j(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.92659 decades in years?\nAnswer: 619.2659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 1062062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 531650045?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 111.1 - 111. What is the third biggest value in 0.5, 5, r, -0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 27 = a, 5*a - 3*a - 4*f - 24 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 14aa5 (base 14) to base 7\nAnswer: 303065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**3 + g**2 + g. Let v be 3\/9 - 8\/6. Determine j(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -821 - 7*n + 2*n**2 - 2*n**4 - 3*n**3 + 7*n + 1101 to the form y*n**3 + q*n + x*n**2 + b + j*n**4 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 110828 and 3766.\nAnswer: 775796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1278*c + 1277*c - 5143 - 2556*c.\nAnswer: -c - 5143","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 424 divide 306976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -57\/7*b + 3\/7*b**2 + 144\/7 = 0?\nAnswer: 3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-495)\/(-25) - -6 - 4\/5. What is the remainder when -5*((-370)\/l + 4) is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 5) + 2 + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 7 - 9 + 18 - 13*n**2 - 6*n. List the prime factors of q(-13).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.0006617 minutes in days?\nAnswer: 0.004861570625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (550*m + 2780*m - 16 + 16)*(0*m - 8 + 3*m + 7).\nAnswer: 9990*m**2 - 3330*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -119588 less than -0.1?\nAnswer: 119587.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-23) - 528\/(-253). Let p be (-2)\/8 + (-21)\/(-4). Suppose -10 = -3*z - i*l, z + p*l + 1 = -0. Solve 5*x = -z*o + 23, -2*o + 4*x - 8 = -0*x for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0097532 rounded to three decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2 + sqrt(567)))**2 - ((sqrt(112) - (sqrt(112) + sqrt(112) + (sqrt(112) - (1*sqrt(112) + sqrt(112) + sqrt(112) - sqrt(112)))))\/sqrt(4))**2.\nAnswer: -576*sqrt(7) + 9136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2976.4102 + 1.\nAnswer: 2977.4102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r**5\/2 - 65*r**4\/2 - 101*r**3 + 746*r**2 - 852*r = 0.\nAnswer: -6, 0, 2, 71\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 256*d - 261*d - 35 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114430 - 120304 = 267*r for r.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(24)*-1 - sqrt(24) - sqrt(24))*5)\/((sqrt(243) - (sqrt(243) + sqrt(243)*1))*-3))**2.\nAnswer: 200\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -229. Let i(o) = -2*o + 7. Let h(d) = 2*i(d) - w(d). Let k(q) = 5*q**2. Calculate k(h(b)).\nAnswer: 80*b**2 - 9720*b + 295245","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 80154 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 48 (b) -5 (c) 6\/431 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/((3 + -2)*1\/(-49)) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33101 + -33052. Suppose 0 = f - 0*f - 98. What is the greatest common factor of f and h?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2206?\nAnswer: 2, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of 0*j**3 + 1\/120*j**5 + 0*j**2 + 1\/3*j**4 - 2*j - 1\/180*j**6 + 0. Let t(s) be the third derivative of b(s). Give t(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11581*z**2 + 23173*z**2 - 11584*z**2.\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*k - 3*k - 5*k)*(5 - 5 - 2*k) + 1196*k**2 - 596*k**2 - 596*k**2 in the form y + r*k + d*k**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 times -426165?\nAnswer: -17046.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 19 + 2. Let z = -2 + b. Suppose 0 = -3*x - z + 41. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 4*i - 4, 3*g + 7 = i. What is the smallest value in -0.07, -6.8, g, 4?\nAnswer: -6.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1281 + -1284. Let r(s) = -5*s - 3 - 3*s + 6*s + s**2. Calculate r(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m + 10816*t - 10820*t - 25, 11*m - 4*t - 8 = -25 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = -18*y - 44. Sort y, -2, -7 in increasing order.\nAnswer: -7, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-27)*-33)\/(2\/9). Suppose 14 = m*h - 52. Let o(w) = 2*w - 2. Let u be o(2). Solve -3 = p, -2*i - u*i - h*p + 14 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -4*n - 5. Let p be o(-8). Let m = -14 + p. Let q be (50 + 93)\/(2\/2). Calculate the highest common factor of m and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -46\/343157?\nAnswer: -46\/343157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 24 in 0, 6845, -0.1, 0.2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 j, and 1 z when three letters picked without replacement from {z: 3, f: 2, v: 2, c: 1, j: 6}?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - 1 - (-1 + -1). Let v = 4 + 0. Suppose 0 = -v*a + 2*o + 36, -c*a + 2*o + 16 = -0*a. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**1)**2\/(((o*o**(1\/4))\/o)\/o)**17)\/((o**(-5)*o\/((o*o**(-2)\/o)\/o)*o)\/((o\/(o*o\/o**(1\/6)))\/((o\/(o\/(o\/o**(3\/2))))\/o))) assuming o is positive.\nAnswer: o**(185\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1010110221120 (base 3) to base 9\nAnswer: 1113846","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**2 + 30*g + 71. Let f be y(17). Solve n + f*n - 22 = 2*q, 2*q + 4*n = 10 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*p + 9*p = -44*p + 600 for p.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 19. Suppose -3*g - 2*g - 4*f = -91, f = 2*g - 26. What is the remainder when k is divided by 9\/(-27) + 50\/g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 87703051 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 12139785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12853\/5716 - -2\/1429. Let -n*a - 1\/2 - 7\/4*a**2 = 0. What is a?\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/sqrt(2))\/sqrt(9) + (sqrt(7) + 1*sqrt(112))**2.\nAnswer: sqrt(7) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 - 2*t - 81. Let a be y(9). What are the prime factors of (12\/a)\/(1*(-6)\/2259)?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14039 to the power of 1\/2, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one ninth of a day?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.5 + -4. Let f = 3 + -4. Let p be (-9)\/15 + 2 + f. What is the nearest to 0 in p, 5, u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + -1 + 6 - -18) + -376 + 366.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 PM and 12:39 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84358, 168716, 253074, 337432?\nAnswer: 421790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -121 - -2213?\nAnswer: 2032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1356 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 22\/12403?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmmm when four letters picked without replacement from mmmmmmddmdm?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13226?\nAnswer: 2, 17, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(120)*-2 - sqrt(120)) + sqrt(120))\/(sqrt(288)*2))\/(-3*2*sqrt(972) - sqrt(972)*2*3).\nAnswer: 5*sqrt(5)\/2592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -27*a**4 + a**3 + 16*a**2 - 6*a - 6. Let d(u) = -160*u**4 + 5*u**3 + 95*u**2 - 35*u - 35. Let f(o) = -6*d(o) + 35*k(o). What is r in f(r) = 0?\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1128 + -1131. Let v = 0.3 - 0.36. What is the smallest value in m, v, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 4)*(0*s**3 + 0*s**3 - s**4 + (-s**2 - 6*s**2 + 4*s**2)*(-3*s**2 + 0 + 0)).\nAnswer: 16*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -17. Suppose w + 2*j = -0*j + 7, q*w - 46 = j. Let i = 78 + -42. What is the greatest common factor of i and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/1*(-56 + 60).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9 + (3 - (-10)\/(-5)). Suppose -2*q = 2*m - 4*m + u, 2*q + 2 = -2*m. Solve -3*c - 15 = m*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5543 + -38798\/7. Factor 0*z + k*z**2 + 0.\nAnswer: 3*z**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -227*d - 159*d = 124*d + 47*d + 15039 for d.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 463051636?\nAnswer: 2, 1093, 105913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49 - -56. Let v(j) = -j**3 + 8*j**2 - 9*j + 7. Give v(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 89, 63, -11, -157, -399, -761, -1267, -1941?\nAnswer: -2807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2192654951 is divided by 13478.\nAnswer: 13477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 9:43 AM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of j**5\/20 - 5*j**4\/3 - 22*j**3\/3 + 3*j**2\/2 - 7*j + 37. Give h(22).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 535 - 585 = 0. Is s a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - q + 54, -5*y + 2*q + 0*q = 58. Let d = -7 - y. Suppose 5*l - 76 = f, 2*l = -d*l - 4*f + 96. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qaaqaqqaqaaaqqaqaqqq. What is prob of sequence qqa?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7209746 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4594423 and 691133.\nAnswer: 3581","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*m, 0 = -5*v - 34*m + 36*m + 18. Solve -d + 4*o + 9 = 0, o = -5*d - v*o - 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = j, -3*y + 107 = -5*y - j. Let z be ((-1)\/2)\/((-19)\/(-4) + -5). Let x be 1 - -2 - z - y. Calculate the highest common divisor of 38 and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 934 divided by 38?\nAnswer: 467\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 2*c + 60. Suppose 3*n - c = -n. Let p(s) = 13*s + 5. Calculate the remainder when p(n) is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 4 - 4)*(-19*n - n - 26*n).\nAnswer: -46*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 12 + 11 = 0. Suppose 5*l + 5*y = -20, -2*l + h = -y - 3. Suppose l = 12*j - 16*j + 2636. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 5*k - 319, -2*k + 5*n + 92 = -54. Suppose -40863 + 1383 = -172*j + 11604. What is the remainder when j is divided by k?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 10 = -6*d + d, 18*d - z = 23*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 - 9*z - 13. Let u be q(-6). Find the third derivative of -8*t**5 + 7*t**2 - 16*t**5 - 14*t**u wrt t.\nAnswer: -2280*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + -2)*2 + sqrt(11) + 0 + (sqrt(11) - sqrt(11)*-1) + 1 + ((-1 + (sqrt(176) - sqrt(11)))**2 + sqrt(11))*1.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s. Let r(t) be the second derivative of -t**3\/2 - 12*t. Determine b(r(g)).\nAnswer: -9*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41160 by -5.\nAnswer: -8232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -127\/6*h - 1\/6*h**2 + 64\/3.\nAnswer: -(h - 1)*(h + 128)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2830 and 2390?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**2 + 28*b. Let f(x) = -1086*x + 21. Give f(t(r)).\nAnswer: -2172*r**2 - 30408*r + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 3, 2\/13, -1\/8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 793548?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s + 13*s = z + 34, -2*s = -4*z - 36. Let l(b) = b**2 - 11*b + 6. Calculate l(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 - 12. What is the third derivative of v - 13*a**2 - 13 + 13*a**3 wrt a?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (2 + -10 + (-11 - -26))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 11*z = -28. Suppose z*y + 4*y = 0. What is j in 2\/3*j**2 - 2\/3*j + y = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1414257 is divided by 451.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.8 - 4.5. Suppose 4*r + 5*k - 28 = 0, 9*k - 14 = 3*r + 4*k. Let n be (-1 + r)\/(7 + -3). Which is the nearest to n? (a) 1 (b) -0.2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2057224 to the power of 1\/3, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 574447135 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/4))**(17\/5)\/((r\/r**(-5\/4))\/r*r*r**0\/r)*((r**(-2)\/r*r*r)\/(r**9\/r))**(-2\/59) assuming r is positive.\nAnswer: r**(-1059\/590)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 28, 43, 60, 79, 100?\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 219*p - 4265 = -224*p, 3*p - 9 = 0. What is the highest common divisor of s and 3910?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, y: 1, b: 1, u: 1}. What is prob of sequence vv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -81, 2\/11 in decreasing order.\nAnswer: 1\/5, 2\/11, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2716, 3306, 3838, 4282, 4608, 4786?\nAnswer: 4786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -23. Let i be (-16)\/50*105\/c. Factor -i*k - 128\/5*k**3 - 96\/5*k**2 - 2\/5.\nAnswer: -2*(4*k + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/((-5)\/2) - -6. Let r be -3 - (-2 - (1 + g)). Suppose 0 = r*q - 68 - 16. What are the prime factors of q?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 9*r**2 - 2. Let d(y) = 1445580*y. Determine d(w(j)).\nAnswer: 13010220*j**2 - 2891160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3604 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10574 + 10575 - 26*c + 353*c**4 + 36*c to the form l + t*c**4 + z*c**2 + i*c + j*c**3 and give t.\nAnswer: 353","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25946*f**2 + 74786*f wrt f?\nAnswer: -51892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.3, 4\/109.\nAnswer: -0.3, 4\/109, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-12)\/s*s**(-3\/5))**(-19)*(s**(1\/9)\/(s**(1\/5)\/s*s))**(2\/19) assuming s is positive.\nAnswer: s**(220924\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1d1 (base 14) in base 11?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 419104 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267 is divided by 54.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -15. What is the least common multiple of 12 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -762138.25 rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(126\/4)*18\/12?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in six fifths of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 777918 to the power of 1\/2, to the nearest integer?\nAnswer: 882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4254 + -4253. Which is the closest to q? (a) 0.6 (b) -65 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4*c - 2*c**2 + 8*c**2 + 1 - 5*c**2 + 3*c. Let x be f(-7). Differentiate 10*i**4 + x - 286*i**2 - 9 + 286*i**2 wrt i.\nAnswer: 40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -22200?\nAnswer: 22122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(108) - (-1 + sqrt(108))) - sqrt(108) - sqrt(108)) + 6*sqrt(6)\/sqrt(2) + 0.\nAnswer: -6*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a + 38. Let f be d(18). Suppose -f*n = -2*z - 1346, 2*z + 675 = n - 0*n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40755454351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 237\/158*2\/33?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 + 10*k**3 - 33 - 8*k**3 - 8*k**3.\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 - 8*b + 7. Is 7 a factor of c(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001033970489 rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**2*i**2 - 67185164*b**2*i + 17916*b*i**2 + 28*b + 35 wrt b.\nAnswer: 2*i**2 - 134370328*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4257573?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d + 3*d - d + (-6*d + 5*d + 5*d)*(0 - 1 + 3).\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2108, -10375, -24146, -43415, -68176, -98423, -134150?\nAnswer: -175351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 + 13*p - 20. Calculate the smallest common multiple of r(6) and 42.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x + 6. Let v be o(6). Let h = -6 - v. Suppose w - 4*w + 12 = 0. Solve 4*r = -k - 20, -w*r + h*r - 2*k - 20 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 194445\/34 + -5719. What is the closest to c in -0.3, 9, -4\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2296 = 4*b + 3*o, -b + 571 - 12 = -3*o. Let r = b + -1167. Which is smaller: -595 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + (((sqrt(64) - (sqrt(64) + sqrt(64)*2))\/sqrt(8))\/(2*sqrt(196)))**2).\nAnswer: 188\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 1 - 3*y + 3*y**2 - y**2 - 4*y**3 + 5*y. Let b be g(-1). Suppose 0 = -15*d - 28*d + 1032. Solve -5*q + 4*u + d = 0, -b*q + 4*u = -u - 25 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i - 2*i**5 + 2*i + i - i - 2*i**5 + (-2*i**2 + 0*i + 0*i)*(-2*i**2 + 2*i**2 - i**3) - i**5 - 4*i**5 + 4*i**5 + 487 - 90*i**5 - 487.\nAnswer: -93*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-5 - 4)) + -6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of 41*n**5\/20 - 142*n**3\/3 - 26*n. What is the second derivative of i(r) wrt r?\nAnswer: 246*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7365, -7358, -7349, -7338, -7325, -7310?\nAnswer: -7293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/4*4\/2. Which is smaller: l or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-456)\/190*15\/(-9)*1 - -7?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2482 - 62041\/25. Which is smaller: a or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**3*k*k\/(k*k*k**(-4)\/k))\/(k**(-2)*k*k**(3\/5)) assuming k is positive.\nAnswer: k**(42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57284, -114600, -171916, -229232?\nAnswer: -286548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-34)\/6 + (3 - (-28)\/(-12))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 2 + m - 6 + 6 to f + l*m and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - 3*m. Let d(p) = -45*p**2 - 13*p + 16. Calculate d(j) - 5*s(j).\nAnswer: -40*j**2 + 2*j + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 + -24. Let p = -6.8 - d. What is the nearest to 0.1 in -1, p, -2\/11?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of p**6\/360 + p**5\/20 + p**4\/4 + 2*p**3\/3 - 3. Let r(l) be the third derivative of z(l). What is the units digit of r(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -922752.9677 - -1120226.96814. Let q = j - 197478. Let f = q + 4. What is f rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y**4 + 6*y**3 + 3*y**2. Let d(z) = 26 - z**3 - z**2 + 25 - 51. Let w(v) = 3*d(v) + f(v). Factor w(l).\nAnswer: 3*l**3*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 386666400.\nAnswer: 2, 3, 5, 73, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 5 + -1 + -2 + -5\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eebebbbbebbbbzebee. What is prob of sequence bzee?\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 501894.\nAnswer: 2, 3, 27883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fapl when four letters picked without replacement from afkylpy?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**2. Let k(u) be the first derivative of 0*u**2 + 12 + 0*u + 5\/3*u**3. What is r(k(f))?\nAnswer: 50*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**7\/x)\/x**(-4\/5))\/(x**0)**9 assuming x is positive.\nAnswer: x**(34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 54 = 3*p. Let k(x) = x - 7. Let i be k(p). Solve 4*z = 4, 3*y - 3*z + 14 = i*z for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 7:41 AM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14508748.\nAnswer: 2, 113, 32099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*v = -8. Suppose 0 = 2*g - 2 - v. Let r(z) = 21 - 7 - 12 - g*z. Determine r(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -12 + (-6 - -8) - -15. Solve 9*o = -z*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 3643 = -5*w + 957, -4*h + 2746 = 3*w. What are the prime factors of w?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -35689?\nAnswer: 5\/35689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*p + 4. Suppose -6*q + 36 = -p*q. Suppose -x + q = -2*x - 5*s, -x = -5*s - 1. Sort -1, 5, x in descending order.\nAnswer: 5, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14*c**4 + 8*c**4 - 23*c**4)*(4 + 1 - 3) in the form t*c + u*c**3 + s + g*c**4 + w*c**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8.4 and -152.\nAnswer: 1276.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -0*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -110020102220 (base 3) in base 12?\nAnswer: -b74a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0.4 (b) -5\/6 (c) -1\/3 (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 672\/185 - -5\/74. Calculate the common denominator of -11\/2 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 695680 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 68320 rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -4*u - 12. Let w(i) = -7*i - 24. Let g(h) = -3*w(h) + 5*y(h). Calculate the least common multiple of g(-9) and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1732 and 8577297?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h. Let i(g) = 4*g - 31. Let y be i(8). Let x(t) = -10*t + 0 + 20*t + y - 16*t. Calculate x(u(z)).\nAnswer: -12*z + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 3 + 7. Suppose 3*c + 1 + b = 0. Let w be (15\/12)\/(c\/(-4)). Let m(l) = l - 4. Calculate m(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.106, 0.04, -5623, -3?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.023 + -0.023. Which is greater: 4\/7 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 512658 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 669 + -178. Suppose -5*d + 34 = -j. Let z = d + -94. What is the remainder when 130 is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21774 + 282029. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -27*o + 621. Let g be x(23). Let q(l) be the first derivative of -11\/4*l**4 + g*l**2 + 0*l + 7*l**3 + 2. Find the third derivative of q(w) wrt w.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44 - 37) + -14 + 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((-888)\/74*1\/165).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 5*p**3 + p**2 + 2*p. Let l be s(-1). Let z be (-99)\/l + (-6)\/12. Find the second derivative of 12*u**4 + 0*u - z*u + 3*u wrt u.\nAnswer: 144*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48534 is divided by 1006.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -12*y**2 - 14*y + 16. Let t be (-3)\/((-6)\/(-1))*(-5 - -25). Let m(k) = k**2 + k - 1. Let v(i) = t*m(i) - q(i). Let v(o) = 0. What is o?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5}. What is prob of picking 2 s?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -134, 21, 4\/7, 2.8, 2\/11, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2530 - -2698. Calculate the highest common divisor of 1428 and b.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pmmp when four letters picked without replacement from mrpaampdsmmrm?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01596289 to 3 decimal places.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -174 + 173.9822. Round w to 3 decimal places.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39 + -34. Suppose y + 5*a = 6*y - 60, -u*a - 51 = -4*y. Suppose y*f = 15*f - 138. What is the remainder when 91 is divided by f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00484253 to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.057 and 0.03.\nAnswer: 0.00171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 11 = -3*k, 0 = -2*k - 30 + 20 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120 + 20 = 15*d + 20 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 + 2 + -17 + 24. Solve 14*b + y = 15*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b2 - 1?\nAnswer: -b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2387*s - 341340. Give x(143).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34522 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 128228 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-399)\/315)\/(95\/(-30)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11032, -11039, -11044, -11047?\nAnswer: -11048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -1 + 9 - 2*h + h + 0. Let m be v(8). Which is bigger: -3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 31\/2 of a kilogram?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2. Let f be (28 + -16)*5\/(-4). Let r = f - -20. Let x(y) = -1 - 4 + y + r. Determine l(x(m)).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(-6)\/9*-1. Let r(s) = 6*s**2 - 193*s + 54. Let c be r(32). What is the highest common factor of h and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) + 2)**2 + -3.\nAnswer: 36*sqrt(19) + 1540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 1)*(i - 3*i - 5*i)*(0 + 0*i - i - 3)*(-40 + 46 + 41).\nAnswer: -658*i**2 - 1974*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 49\/4 of a tonne?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 512 + 1667. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48177*-362.\nAnswer: -17440074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 110 - 107.68. Let o = 0.78 + i. Let f = o + 0.9. Which is the second biggest value? (a) -0.5 (b) f (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8284*a + 3*a**2 + 8316 + 4396 - 8290*a.\nAnswer: 3*a**2 - 6*a + 12712","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-110)\/22 - (-6 - (-4 + 1806\/606))\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + 3*x - 6. Let v be j(-8). Let l = -27 + v. Calculate the remainder when 13 is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-12 - -4) - 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 85794 take away -937?\nAnswer: 86731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -9835 divided by 5?\nAnswer: -1967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -8*(6\/4 + -2). Suppose 38 = -j*k + 14. Let b(f) = f**2 + 5*f + 5*f - 5*f + 4. Calculate b(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2*h**5\/9 + 10024*h**4\/3 + 300848*h**3\/9 + 1083200*h**2\/9 + 187232*h + 962944\/9 = 0.\nAnswer: -4, -2, 15046","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/6*(-3)\/(-2). Let j = 77105 + -77104. What is the third smallest value in b, 3\/7, 64, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -191889, -191888, -191887, -191886, -191885, -191884?\nAnswer: -191883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -63404 - -325?\nAnswer: -63046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 288\/5 - 58. Let n = 38493 - 38492.6. What is the nearest to 12 in 2\/7, q, n, 6\/7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 - 369 - (30 + -5)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 23 = -2*m - 3*i, 4*m - 16 = -4*i. Let r be (3\/(-6))\/(m\/6). Suppose r*a - 70 = 17. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = 47*t - 22*t. Solve -4 = -t*b + 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8091 divided by -1.\nAnswer: -8091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/6 + (-5902)\/(-4). Suppose -5*i + z = -o, 2*i - 3*z - 885 = -i. Let u = i + -104. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22.5 - 32. Let h = 5.4 + r. Let g = h - 0.9. Which is the nearest to 0.1? (a) g (b) 4 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -74969.\nAnswer: 374845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 86, 126, 148, 146, 114?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3 = -13, 2*j = 5*h + 48. Let o be 5*(4*(-15)\/(-20))\/1 - 6. Solve -1 = 2*d - o, 3*g + j = d for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) -0.1 (c) 4 (d) 12 (e) -14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o + 9. Let k(a) = -4*a - 11. Let g(i) = -6*h(i) - 5*k(i). Let m(b) = -b - 1. Let c(p) = 3*g(p) + 4*m(p). Let t be (-4)\/(3\/3 + -3). What is c(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/17 in 2\/9, 280, -3, -5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*v**5 + 405*v**4 + 1588*v wrt v?\nAnswer: -60*v**3 + 4860*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 7*v - 7. Let i be s(5). Differentiate -i*l + 6*l + l + 3 - 3*l wrt l.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + -4 + 236*5830\/40 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 3.5?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2714?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.6 and -371849.343.\nAnswer: -371846.743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 10:36 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*r - 4*k, 3*r = 2*r + k + 4. Suppose 0 = -5*u - 4*t - 353, -t + r*t = -6. Let c = u + 94. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of -u**3\/6 + 5*u**2\/2 + u. Let g be v(3). Suppose g*r = 4*r - 6. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*5\/40 + (-5 - 1)\/(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -639094863 minus -15?\nAnswer: -639094848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.683246 weeks in milliseconds?\nAnswer: 413227180.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 23430.\nAnswer: 23430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1*(2 + 3*(sqrt(4400) - (sqrt(4400) + -2))))**2.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -5*k**4 + 35*k**3 - 25*k**2 - 35*k + 30 = 0.\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 12 = -2*z. Suppose -6 = -4*l + z. Calculate the smallest common multiple of 5 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.02 - -4.02. Let t be (2\/5)\/(2\/4). Which is the second smallest value? (a) t (b) o (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 13*g + 1. Let c(j) = -88*j - 249. What is -c(n) - 6*f(n)?\nAnswer: 10*n + 243","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 7*y + 5. Let c(i) = -1 - 4 + 0 + 2 - 3*i. Let x(o) = 5*c(o) + 3*j(o). Factor x(s).\nAnswer: -3*s*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1300 (base 5) to base 6\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 7*o**2 - 5*o + 8. Let k be a(6). Suppose -3*r - 17 = 5*f, -r = 2*f + 3 + 3. Let p = k - f. What are the prime factors of p?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -f?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29787*y - 1002*y**2 + 35124*y + 9742*y**2 wrt y.\nAnswer: 17480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 24*s**3 - s**2 + 1. Determine r(-1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 - (-34 + 20 + 40)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/15))**(-12\/13)\/((n\/((n**(-3\/11)\/n)\/n))\/n**15) assuming n is positive.\nAnswer: n**(8473\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14 + 14 + 25*l**2 - 3*l**2 - 50*l**5 + 2*l wrt l?\nAnswer: -3000*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 84.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eighteen fifths of a kilogram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1763861*l**3*m**2 + 2*l**2 + 14*l*m**2 + 14*m**2 - 75*m - 2 wrt l?\nAnswer: 10583166*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r**2 - 4*r + 2340. Determine d(27).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 4:19 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 16*t**2 + 23*t + 2. Let y be s(-11). Suppose -2*u = -2*l + y, 0 = l + 3*u + 79 - 244. Is l a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/4*35\/4200*112*20*-1?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*v = -24*v + 3*z + 161, 0 = 5*v - z - 791. Let n(a) = -157 + v - 3*a**2 - 2*a - 5*a**2. What is n(-2)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -5*d - 9, 4*d = 2*q - 18 - 48. Solve -107 - 19 = q*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 0.5, 3\/7, 56 in ascending order.\nAnswer: 3\/7, 0.5, 7, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3*h + 8*h = -370, w - h + 68 = 0. Let k = 1334.6 + -1335. What is the smallest value in 3, w, k?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*j**3 - 5*j**3 + 2*j**3)*(-2*j - j + 2*j) - 272*j**3 - 220*j**4 + 272*j**3 as t + c*j**2 + z*j + p*j**3 + a*j**4 and give a.\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -3121.\nAnswer: -1\/3121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/5 + 8268*q - 42724890.\nAnswer: -2*(q - 10335)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 t when four letters picked without replacement from ttztttjzzzztj.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 6*x**2 + 3*x + 9. What is z(-6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*c - 10*c + 20*c to q + b*c and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + 10)*(-4 + 0 + 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 d when two letters picked without replacement from mmbmidffmm?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, o: 1, w: 1, n: 4}. Give prob of sequence one.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**0*g*g)**(-2) assuming g is positive.\nAnswer: g**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1737 - -1736.9998186. What is z rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3440634 and 14592?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/4668 and 37\/30?\nAnswer: 23340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 850 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 148 + -79. Let r = y + -61. Is 8 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*b**3 - 4*b**3 - b**3 - 13*b**3.\nAnswer: -30*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 1327 = 7333. Suppose -k = -3*m - 106. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 301?\nAnswer: -266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 75459, 150945, 226431, 301917, 377403, 452889?\n\"Answer: 75486*q - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1988, -1991, -1994, -1997, -2000, -2003?\nAnswer: -2006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (((-18)\/3)\/2)\/(-197 + -2). Let g be 0 + (-8 - -3) + 5. Is g at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of 17*a**6\/720 + 11*a**4\/12 + 11*a. Let n(k) be the third derivative of q(k). Give n(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 3*i + 29926 = -31727, -3*f + 36987 = 3*i. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15232 - -890. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*u + 61 = -4 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 958762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2656 = -6*j + 2632 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 3*c - 163, a = -0*c - 4*c + 109. Suppose -a = z + 3*q, -2*z - 156 = -8*q + 3*q. Let p = 142 + z. List the prime factors of p.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 121 (base 3) to base 10\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 171 and 399?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6461 - -32329\/5. Solve 32\/5*c**4 + 136\/5*c**2 - 92\/5*c - 96\/5*c**3 - 4\/5*c**5 + s = 0.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**2. Let s(p) be the third derivative of -5*p**5\/6 + p**4\/24 + 23*p**3 + 65*p**2. Let g(k) be the first derivative of s(k). What is r(g(q))?\nAnswer: -20000*q**2 + 400*q - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + n**2 - n + 12. Let y be i(0). Suppose -y = f - 4*r, 5*f + 0*f - 12 = -4*r. Suppose 3*o - 1 = 5. Solve o*d - 2 = -f for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7506481 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93957 divided by -93957.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -13*s + 1240. List the prime factors of s.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*1)\/((-94)\/235).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2040104 (base 5) to base 6.\nAnswer: 420215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of x**4\/24 - 5*x**3\/3 + 7*x**2\/2 + 5. Let r(d) be the second derivative of s(d). Give r(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 12766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 13 = 5. Suppose 5*w + 8 = -2. Let b(f) = 2*f - 1. Let g(x) = x**2 + 9*x - 4. Let h(d) = s*b(d) + w*g(d). Differentiate h(n) with respect to n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 18 = -3*v, 0 = -v - 2*v + 4*p - 10. Suppose v*k - 2 + 46 = 3*y, y - 2*k - 8 = 0. Calculate the greatest common factor of 6 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 11:19 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 8*h - 9. Let g be o(-6). Suppose 0 = v + 3*v - g*v. Suppose -3 = t + 2*t, -2*i + 3*t + 41 = v. List the prime factors of i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -825809?\nAnswer: -825807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -3, -4, -64, -5 in descending order.\nAnswer: 8, -3, -4, -5, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -172 * 5.\nAnswer: -860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*h + 401 = 20*h - 498 for h.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4*p = -42, 5*o + 3*p - 81 = 2*o. Suppose 5*z = -2*q + 18, -2*q + 13*z - 12*z = -o. What is the highest common factor of 210 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472852.7 years in millennia?\nAnswer: 472.8527","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1.03 * -29\nAnswer: 29.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 196188 divided by -65396.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-2)\/(3 + 5)*28)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 43\/14? (a) -5 (b) -3\/11 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*d - 3*d - 54 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of -q**6\/120 - q**5\/30 + 11*q**4\/24 + 11*q**3\/6 + 3*q**2 + 18. Is r(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -753 = 6*j - 9*j. Let t = j + -100. Suppose z - 2*k - 42 = k, -4*k = -3*z + t. What is the lowest common multiple of 10 and z?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 73*w**3 - 3*w**2 - 32*w - 69. What is the ten thousands digit of t(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 2*g**2 + 33*g + 72. Calculate y(10).\nAnswer: 1202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -13*b - 3. What is w(1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 4*o = 3332, 591 = j - 4*o - 257. Suppose 2*a - 4*l = -3*a + j, -822 = -5*a + l. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 0*l + 7 + 3*l - 13 - 2*l. What is c(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 588 and 588?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -15 - -1*(5 - 0). Let q = 6 + -7. Suppose -x - 3*g = -4*g + 3, -5*g + 9 = x. Which is the closest to q? (a) -4 (b) i (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000022246 rounded to 6 dps?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1164633 and -0.4.\nAnswer: -1164633.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1*-1*(-4 + sqrt(112)))**2.\nAnswer: -96*sqrt(7) + 384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of 7*m**3\/3 + 75*m**2 + 201*m. Let p be t(-10). Calculate the greatest common divisor of p and 250.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 4*h - 24*h - 13432*h**2 + 13434*h**2. Let i(q) = 12*q. Give i(f(k)).\nAnswer: 24*k**2 - 240*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iihhbw. Give prob of sequence ibh.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u*u**1))**(-3\/29)*u**(4\/9)*u**(-2\/7) assuming u is positive.\nAnswer: u**(668\/1827)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = b - 5. Let r be 102 + (0 - 0)\/3. What is the remainder when 2\/8 - r\/(-8) is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 9 - 40 - 9*a**2 + 18 + 13. Let n(m) = m - 5*m + m. Determine n(u(j)).\nAnswer: 27*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18947332*j*v + j + 6004707 with respect to v.\nAnswer: -18947332*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2333*y + 633*y - 8189*y - 13198*y to t*y + j and give t.\nAnswer: -23087","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1)\/b)**33)**33 assuming b is positive.\nAnswer: b**(-2178)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -83 + 577\/7. Let v be ((-203)\/(-728) + (-2)\/13)*6. Which is the smallest value? (a) u (b) 1\/3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, -31\/3, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 29.73 (b) -1\/2 (c) -544\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 2726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.1 - 5. Round j to 0 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 498*w - 102*w + 540*w.\nAnswer: 936*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 4:15 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*x + 7 = -58 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yq when two letters picked without replacement from {y: 1, q: 5, s: 6, u: 3, f: 5}.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 92 + 115. Calculate the remainder when t is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 4*p**2 - 4*p + 5. Let s be b(-5). Suppose 0 = -2*t - s*t + 8. Suppose -4*d + 0 = -t. Which is bigger: d or -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + 5*x + 6. Suppose -36 = -3*p - 3*j, 5*p - 2*j - 73 + 27 = 0. Suppose -y + p = -3*y. What is t(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*p - 7630558 = 1964142. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2009376?\nAnswer: 2, 3, 6977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -10000010101101001 (base 2) to base 8\nAnswer: -202551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 6) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3 (b) -1 (c) 4 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 61 - -3. Let z = q + -34. Solve -3*j + 8*j = -5*r + z, j - r = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 - 8 = -17*w. What is the third biggest value in -18\/5, 1\/8, w?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 + 5*p**2 - 2*p**2)*((-3 + 3 - 3*p)*(2 - 4 + 3) + 21*p + 18*p - 14*p).\nAnswer: 22*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 49 = 154. Let l be (-2 + 1)\/(k\/6). Let a = 2.52 + -2.32. What is the closest to l in 0.3, a, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3*(7 + -4 + 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3059489 to the power of 1\/2, to the nearest integer?\nAnswer: 1749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 4*r + 432. What is the greatest common divisor of 24 and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4180 + 4180 - 216*o + (-3 + 4 - 2)*(0 + 0 - o) + 2*o + 0*o + 0*o + (3*o + 2*o - 3*o)*(1 + 6 - 5) to l + a*o and give a.\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2385300 and 1.5?\nAnswer: -3577950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 15?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**2 + 10*g + 8. Calculate the remainder when 77 is divided by j(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17015 (base 15) in base 13?\nAnswer: -27a61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = -4*u + u + 20*t, -6627*t = -u - 6626*t + 9 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4480 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2301 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + d + 745 = 5*k, 13*k - 425 = -2*d. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 + -25.11. Let z be (1\/3)\/((-23)\/207). What is the second biggest value in -0.5, v, z?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -o**4\/8 + 7*o**3\/6 + 9*o**2\/2 - 6. Let q(x) be the second derivative of n(x). Suppose 0 = y + 2*y - 15. Give q(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s - 3. Suppose -5*v = 4*z - 12, -v - 7 + 3 = 4*z. Suppose -6*y + 55 + 131 = 0. Let a(u) = 21 + 11 - y. Calculate z*a(d) - x(d).\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z + 9. Let i be (-14*1)\/(4\/16). Let g be ((-1)\/1)\/(8\/i). What is the units digit of y(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4 = f, 5 = 2*v - 3*f - 7. Suppose 0 = l + 4*s - 111, 4*s - 384 = -v*l - 4*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -202 + 198. Put 4, -0.03, q in descending order.\nAnswer: 4, -0.03, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1764006, -3528091, -5292178, -7056267, -8820358, -10584451, -12348546?\nAnswer: -14112643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -62*g**4\/19 + 826*g**3\/19 + 145564*g**2\/19 + 2131392*g\/19 - 702720\/19 = 0.\nAnswer: -24, 10\/31, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from jjjjjjvjjjjjjjj.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6369149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42 - 64 + 32)*(-2*c**2 - c**2 + 2*c**2)*(-2*c + 5*c - c)*(-2 + 2 + 3*c)*(-5 + 5 + c)*(-3 + 4 - 7).\nAnswer: -2664*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 n when two letters picked without replacement from bvnononnnnob.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 488 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v**2 - 5*v + 5. Let g(k) = -4*k**2 - 6*k + 6. Let r(q) = 5*g(q) - 6*n(q). Let o(x) = -6*x**2 - 6*x**2 + 5*x**2. Calculate o(r(j)).\nAnswer: -28*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 38639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3187016, 3187002, 3186988, 3186974, 3186960?\n\"Answer: -14*i + 3187030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -7. Suppose 5*j = 2*x - 425, -r*x + 2*j - 4*j = -666. Let p = x - 1104\/5. Which is the smallest value? (a) -4\/7 (b) p (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-103)\/((-824)\/420))\/12)\/((10\/4)\/1).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = 5*r + 4*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c = 4*c - 4940. Suppose -45 = 5*l + 3*x - 3, 16 = -4*l + 2*x. List the prime factors of l\/(-10) + c\/(-20).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -0.22, 0.3 in increasing order.\nAnswer: -0.3, -0.22, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15084?\nAnswer: 2, 3, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 23 + 7 = 0. Let d(c) = -23*c + 2. Let w be d(a). What is the highest common factor of w and 235?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -9 (b) 1 (c) -1\/6 (d) -6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 2506184.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00091616723 rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 516 - 61432?\nAnswer: -60613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 675333 (base 8) to base 10\nAnswer: 228059","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggrrrxrxxrxxxxxrxrxx. Give prob of sequence gg.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1884053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ic when two letters picked without replacement from ikckeieekdkilcc?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*g - 4*g - 36 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 86, -0.1, 6, 1\/8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3041057110 to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 487947725\/1786 + -273207. What is the common denominator of -95\/1034 and y?\nAnswer: 19646","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 231 - 227. What is the remainder when 178 is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 340\/(-20)*2\/10*5.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 45143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2579862.15s in days?\nAnswer: 29.859515625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 296.859023 and 4720.1.\nAnswer: 5016.959023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -551891 by -2.\nAnswer: 551891\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 29388625?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1358 a multiple of 194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 91743311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20184\/427 or 48?\nAnswer: 20184\/427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -2*r**3\/3 + 140. Let h(x) = 158*x. Give l(h(i)).\nAnswer: -49928*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**5\/5 + 100818*p**4\/5 + 1271389836*p**3\/5 + 21568179424*p**2\/5 - 205673133888*p\/5 + 182833463808\/5 = 0. What is p?\nAnswer: -25196, -24, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccccc. Give prob of picking 2 c.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 167.72 to the nearest ten.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -165 + 264?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -12356, -12454, -12552, -12650?\n\"Answer: -98*c - 12258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 m, and 1 g when three letters picked without replacement from {j: 1, w: 4, m: 1, g: 1, y: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 131 (base 11) to base 14\nAnswer: b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -174.39 - -14.79. Let q = l + 159.289988. Let a = -0.31 - q. Round a to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(7\/2)*y**4 assuming y is positive.\nAnswer: y**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13\/131962 - 97131897\/79837010. Let x = -2\/121 - d. Suppose -4\/5*a**4 + 0 + 0*a**2 - x*a**3 + 2\/5*a = 0. Calculate a.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r - 8*x = 6*r - 17, -2*r - 3*x = x + 54 for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.268078 rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2808416, -2808410, -2808404, -2808398, -2808392, -2808386?\nAnswer: -2808380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*j**2*y - 7*j**2 - 688*j*y + 3*j + 2*y wrt j.\nAnswer: -6*y - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**2. Let a(f) = 58*f**2 - 4*f - 9. Let l(o) = -o - 2. Let z(k) = a(k) - 4*l(k). What is s(z(n))?\nAnswer: 6728*n**4 - 232*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154*r**2 - 177*r**2 + 24*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1.703679 minutes?\nAnswer: 102220740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((((-98)\/(-42))\/(-7))\/(15\/9))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 347*y**2 - 323*y**2 + 3 - 50 + 3*y - 35 - 26.\nAnswer: 24*y**2 + 3*y - 108","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -63*g**4 - 717*g**3 - 2016*g**2 - 540*g + 336 = 0.\nAnswer: -7, -4, -2\/3, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of j**4\/12 + j**3\/6 + 37*j**2 - 26*j. What are the prime factors of g(0)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.09 equal to -17719?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -96 times -7\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 9:26 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 + 36. Let u be (-288)\/(-20) - 4\/t. What is the highest common factor of u and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 167, 703, 1607, 2879, 4519, 6527?\n\"Answer: 184*a**2 - 16*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 2*j - 1. Suppose -3*p = 2 + 4. Let h be m(p). Is (0 + 6*-3)*h a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((-1 - 2) + 6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 69 + -67.6. Let f = v - 1.4164. Let b = f + -0.001. What is b rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -51. What is the first derivative of p*c - 42 + 37*c - 23*c wrt c?\nAnswer: 57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 0 = i. Let u = -59 - -111. Let h = i + u. What is the greatest common divisor of h and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88314.2*16.\nAnswer: 1413027.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*i**4 + 20*i**3 + 8*i**5 + 8*i**3 + 4 + 18*i + 32*i**2 - 6*i**5.\nAnswer: 2*(i + 1)**4*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of -m**6\/120 + m**5\/20 - m**4\/4 + m**3 - 4*m**2. Let a be p(3). Let g = a - -14. Which is bigger: -1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -485 - -218. Let h = -117 - i. Does 25 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-3) + 3 - (-39823)\/(-39857). Let p = m - -501519985\/757283. Let v = -662 + p. Which is greater: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 9 + 5 + m**3 - 5 - 17*m. Let x be j(-8). What is the common denominator of x\/70 - (-18 + 14) and 43\/20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6681 + 53447\/8. Let z = 3 + -2. Sort z, 3\/5, i, 3 in descending order.\nAnswer: 3, z, 3\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 473051 is divided by 157679.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0 (b) 18 (c) -2 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 425?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -9*v**2 + 90*v - 546. Let s(w) = 2*w**2 - 23*w + 136. Let a(r) = 5*o(r) + 21*s(r). Find k such that a(k) = 0.\nAnswer: -14, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 8 + 8 - 7 + 2*k**2 - 12*k. Suppose -2*o = -o + 3*u - 19, -59 = -5*o + 3*u. Is c(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1272202 and 1272201 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 18035819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 7*h = -14. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13828646\/47488689 + -2\/181949. Let d be (-64)\/(-87) + (-4)\/6. Let r = d - g. Which is the biggest value? (a) 0.1 (b) -2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 2*b - 5189, -4*u + 2*b + 5197 = -5*u. Let f be -2 + 21\/15 - u\/5. Suppose 18*o - 12*o - f = 0. What are the prime factors of o?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -300 + 410. Let w be ((-12)\/(-14))\/((-2)\/(-14)). Suppose 20 = -4*q + w*q. Calculate the highest common divisor of n and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cu when two letters picked without replacement from {c: 2, u: 18}?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of -t**8\/168 - t**5\/30 - t**2 - 3*t. Let n(w) be the first derivative of q(w). Find the third derivative of n(k) wrt k.\nAnswer: -120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 963006943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -655439, -1310881, -1966323, -2621765, -3277207, -3932649?\n\"Answer: -655442*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.231409004 rounded to 3 dps?\nAnswer: -0.231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3 + 2227*p**2 + 15532*p - 17760.\nAnswer: (p - 1)*(p + 8)*(p + 2220)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -717198.\nAnswer: 5\/717198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 36 + 160 = 0. Let d = 2 + t. Let g = -2 - d. Does 13 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/3))**49\/((p**(-4\/7)\/p)\/p)**27 assuming p is positive.\nAnswer: p**(1115\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -719d?\nAnswer: -71a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {t: 2, s: 1, x: 5, q: 5, g: 5}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/(-96)*(-8 + -4 - 12). Solve 2*j - 8 = -u*y, 0 = 22*j - 18*j + 2*y for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = -3*h + 156. Let v = 9 - -14. Suppose 2*x - v = h. What are the prime factors of x?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3520216?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2119330 * -114.\nAnswer: 241603620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**3 + 4*m + 4. Let g be -3 + (-1*3 - -2). Let c(t) = t**3 + t + 1. Suppose -2*s - r + 5 = 0, -3*s + 0*r + 5*r - 12 = 0. Calculate g*c(z) + s*v(z).\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1339, 1348, 1363, 1384, 1411, 1444, 1483?\nAnswer: 1528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**11*q)\/q*q**6*q**(3\/14)\/((q*q**(-4\/5))\/q) assuming q is positive.\nAnswer: q**(1261\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4))**24*(z**11*z)\/z*z**(-2\/19) assuming z is positive.\nAnswer: z**(-1617\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -5*k + 34792. Let h = k + -2346. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43 - 42. Put 24, y, 0, -1 in decreasing order.\nAnswer: 24, y, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 1 = 3*p, 5*v = 85*p - 81*p + 32 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 563 - 562 - (-1 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2 + sqrt(704) + 1 + -5 + -3.\nAnswer: -7 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, q: 2, k: 3, s: 5, z: 1}. What is prob of picking 3 s?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z - 5. Let p be w(-8). Let h be (-3 - -9)\/(p\/4). What is the units digit of (-2)\/h + 34\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 - 2)*(92 + -3610)?\nAnswer: 2, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*b - 12*b - 580720. Round b to the nearest one thousand.\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 4*x + 22 = -5*n, -n + 4*x = 14. Find the common denominator of 150\/(-9) + (n - 0) and 37\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 58\/3 (b) -0.6 (c) 7 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 49400000 rounded to the nearest 1000000?\nAnswer: 49000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -732, -1471, -2214, -2961, -3712, -4467?\nAnswer: -5226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 4*d. Let n(t) = -3*t**2 + 193*t. Give n(q(j)).\nAnswer: -48*j**2 + 772*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 69 = 6*y - 3*u, y - 4 = 5*u. Let o = -58 + 38. Which is bigger: o or y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + (10 - 2) + -8 + (11 - 11)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2240087 and 0.2.\nAnswer: -2240086.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.2 - 0.6. Let b = r + -1.3. Let v = -3.7 - b. What is the second smallest value in v, -0.1, -0.08?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 1994*b - 29858. Give v(15).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5127 - 20?\nAnswer: 5107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6158418?\nAnswer: 2, 3, 7, 20947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2030, -8169, -18414, -32765, -51222, -73785?\n\"Answer: -2053*y**2 + 20*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 2:18 PM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t*t**(-1\/2)*t*t)*t**5*t**4\/t*t*t**6 assuming t is positive.\nAnswer: t**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 162001\/49 + 18\/21. Suppose z + 124361 = 12*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -8*c + 139. Let g(f) = f - 2. Calculate 5*g(a) + z(a).\nAnswer: -3*a + 129","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((5\/6)\/(-5))\/(1\/(-2)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15001108.\nAnswer: 2, 19, 197383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 212 and 954.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.098 - 0.038. Sort -2\/3, f, 1\/3, -0.3 in descending order.\nAnswer: 1\/3, f, -0.3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - 7)\/12*-101978 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1861421 is divided by 1898?\nAnswer: 1381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 235 and 188?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s**3 + 3*s**2 + 5*s + 6. Let z(a) = -2*a**2 - 2*a. Let d be z(-2). What is the units digit of r(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and 969012054655.\nAnswer: 969012054655.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**3 - 7 - 126113*u**4 + 2*u**3 + 5*u**2 + 126112*u**4 + 85*u + 6 to s*u**4 + v*u**2 + c + g*u + y*u**3 and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37.95 - 37.949943672. What is w rounded to 7 dps?\nAnswer: 0.0000563","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -0.0118.\nAnswer: -0.0059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-540)\/(-1575)*(-7)\/(-16).\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -4*j, -4*b - 12*j - 13 = -17*j for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1586, 3219, 4854, 6491, 8130?\nAnswer: 9771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -20*j**4 + 36*j**3 - 48 + 11*j**5 + 10*j**5 + 6*j**5 + 68*j**2 - 31*j**5 - 32*j = 0.\nAnswer: -6, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**5\/5 - 5438*g**4\/5 - 3982*g**3 - 3980*g**2 - 1807*g\/5 + 3618\/5 = 0. What is g?\nAnswer: -1809, -2, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 49*h**2. Determine t(-1).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 0. Suppose -o*v = -41 - 7. Calculate the remainder when 29 is divided by v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -2285480.97.\nAnswer: -914192.388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104 and 93865239?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 5*g - 434, 4*o - 4*g + 617 = -3*g. Let p be 8\/6*o\/(-34). Let w(b) = 4*b + 1. What is w(p)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66 - 162 + p**2 + 96.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 + 56. Suppose -5 = 4*d + 4*l - s, -2*l = -4*d + 10. Suppose 22 = -3*u + d*u. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -50 + ((26 - 30) + -8 - (-20 + 7))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*l + l - 25*l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19795\/9 - -2192. Calculate the common denominator of m and -99\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 417.\nAnswer: 2919","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 6*k + 42 = 0. Suppose 2*g + 4*l - 4 = 0, 36 = 3*g + 2*l - 6*l. Calculate the remainder when k is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/476? (a) 0.2 (b) 0.1 (c) 86603\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeee when four letters picked without replacement from {r: 3, m: 1, e: 4}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2042.7251 * -7.\nAnswer: 14299.0757","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1090 (base 11) to base 3.\nAnswer: 1221222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 11:52 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12381 = 3*q + 2*x, q + 9*x = 4*x + 4140. List the prime factors of q.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29\/4 + 15\/(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4143, 3598, 3053, 2508, 1963, 1418?\n\"Answer: -545*f + 4688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l**2. Let f(i) = 9 + 4*i - 3*i + 0*i. Let w be f(-7). Let y(z) = 2*z + 2*z - w*z. What is n(y(m))?\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/528 and -139\/330.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -58? (a) 5 (b) -0.4 (c) 1\/6 (d) -1\/2 (e) 3\/173\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.29 + 43965588901.\nAnswer: 43965588910.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbfbbbffbfffbbbffff. Give prob of sequence fbb.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4540, 9086, 13632, 18178, 22724?\nAnswer: 27270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 1221202002?\nAnswer: 1221202011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 10*p**2 - 11*p - 10. Let k be d(11). Let s = 35 + k. Let l = 2136 - 2112. Which is bigger: l or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 775 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 578071 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -18642104, -18642108, -18642112, -18642116, -18642120, -18642124?\n\"Answer: -4*m - 18642100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5*(96\/10)\/3. Let x be (-6)\/(-4)*o\/6. Suppose 0 = -2*u + 6 + x. Is u even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, b: 1, w: 1, y: 1, v: 1}. What is prob of sequence ub?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -4*h - 27, 3*h - 2 = 2*s - 5. Let m be (s + 7)*1\/(-2). Let z be (-2)\/4*1\/m. Which is the second biggest value? (a) z (b) 9 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 8, h: 3, k: 7}. What is prob of sequence ggh?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 0*k**2 + 3*k**2 - 2*k + 1 - 2. Let u be i(-1). Differentiate 2 - u*j**3 - 2 - 1 + 2*j**3 with respect to j.\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47 - 47.5. Which is the biggest value? (a) -3 (b) w (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hb when two letters picked without replacement from {b: 4, k: 1, h: 5}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 308 and 224?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-112226404)\/(-24) - 4\/24. Let w be 2\/8 + o\/48. Let h = 142919 - w. Round h to the nearest 1000.\nAnswer: 46000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 3*l - 20, 0 = 3*z - 4*l - 4657. Is z a multiple of 141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1063190 and 531595.\nAnswer: 1063190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1709845 or -1709847?\nAnswer: -1709845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*x + 88*x + 1341452 = 3743082. What are the prime factors of x?\nAnswer: 11, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3699773955 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1691 and 5518?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -181 in -1\/11, 0.4, 1\/3, 0.1, -8\/3?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -129348, -260630, -391912, -523194?\nAnswer: -654476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -22, -34, -40, -40, -34?\n\"Answer: 3*f**2 - 21*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/(-98))\/(1435\/148666*(-8)\/10)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -3*((-27)\/(-3) + -6504)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(-3) + 7 + -1. Let j be ((-3)\/y)\/(3\/(-390)). Let i = -6 + j. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 1 = 5*s + 20, -4*v = 4*s + 4. Let l be (3 - v)\/(1\/(-6)). Is (-38)\/l - (-4)\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -820005740*j**2*n*x - j**2*n - 15331*j**2 + j*n - 2*j + n - 224 wrt x.\nAnswer: -820005740*j**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -322 - -442. Let n be (-2)\/5 + 8\/r. Which is the nearest to 2\/11? (a) 1\/3 (b) n (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 j when two letters picked without replacement from {x: 2, j: 1, y: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2660 and 931?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 211591 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 4*f + 8 = 0. Suppose f*y = -y + 24. Let x be (-8*2\/(-10))\/(2\/10). Calculate the greatest common divisor of y and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 10*f**2 + 6*f - 15. Let z be n(-7). Let q = 171 - z. Let s = q + -24. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10321213302 (base 5) in base 7?\nAnswer: -163330132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of r**4\/12 + r**3 - 9*r**2\/2 - 7*r. Let s be v(-9). Let z be 1 - s\/(-33) - 1. Which is smaller: 0.2 or z?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 14*s - 12. Let a be i(-15). Solve 0 = -a*p - 0*p - 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g. Let q(b) = -b. Let k(c) = -2*q(c) + u(c). Let o(n) = 4*n - 4*n + 4*n. What is o(k(f))?\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18*4\/(12 - 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*q + 6*q**3 + 15*q)*(-2 + 4 - 4) + 3 - 3 - q**3.\nAnswer: -13*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 21. Let c be ((-6)\/l)\/((-2)\/10). Let p be (0\/c*1)\/2. Solve 0 = -p*n - 3*n + 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7.243194 and -0.1.\nAnswer: -7.343194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(2\/21))\/(w\/(w\/(w\/(w\/((w\/w**2)\/w))))*w)*w**(-4\/5)\/(w*w**(8\/3)*w))**29 assuming w is positive.\nAnswer: w**(-10846\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 1915*i**2 + 70*i + 499. Is o(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32 - -101032132?\nAnswer: 101032230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 10. Suppose 10*g = 2*i + 5*g - 15, 4*g + 3 = i. Let f = 20 - i. Which is smaller: m or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8992 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: Simplify n**9*n\/(n*n*n*n*n*(n\/(n**(1\/32)*n)*n)\/n*n)*n*n**(-14)\/(n\/n**(-11)*n) assuming n is positive.\nAnswer: n**(-703\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**(-2\/7)*o*o*o**(2\/17)*o assuming o is positive.\nAnswer: o**(524\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -76305, -303773, -682887, -1213647, -1896053?\n\"Answer: -75823*r**2 + r - 483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 89*a**2. Let h(m) = -364*m. Determine o(h(d)).\nAnswer: 11792144*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1170 - -1240. Calculate the smallest common multiple of a and 7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 10) to base 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 4 + (-5 + 2 + 2)*(1 - 3 + 1) + 1 + 2 - 2 - 5 - 1 + 5 - 2 + 5 + 1)*(6 + 4*t - 4 - 5*t) - 2*t - t + 2*t.\nAnswer: -3*t + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9239 - -9243. Factor 2\/13*q**l + 2\/13*q**5 + 0 + 0*q - 4\/13*q**3 + 0*q**2.\nAnswer: 2*q**3*(q - 1)*(q + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)\/(sqrt(66)\/(sqrt(18)\/sqrt(3)) + sqrt(11)) + sqrt(91)\/sqrt(63) + (sqrt(13) - (sqrt(13) + 0))**2*-4)*-4.\nAnswer: -10*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (0 - 2) - 4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19067 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2550\/(-2871) + 40\/660. Which is the closest to g? (a) -0.1 (b) -3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from ihhihpiphh.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 + 5*c - 1. Let j(r) = -2*r**2 + 12*r - 3. Let t(s) = -3*j(s) + 7*v(s). Let w(m) = -5*m**2 - 4*m + 8. Give -9*t(k) + 2*w(k).\nAnswer: -k**2 + k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o. Let p(d) = -9*d + 47*d + 1 + 6*d. Give p(x(a)).\nAnswer: -88*a + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dpdddddpddddpddd. What is prob of sequence pdd?\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -3 - 7 - -12?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*n**3 - 85*n**2 - 5*n + 85 = 0. What is n?\nAnswer: -1, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + r = d - 7, 13 = d - 3*r. Let q(z) be the third derivative of 0 - 1\/6*z**d + 0*z + 0*z**3 - 3*z**2. Let m(v) = -v**2. Give q(m(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - t)*(10 + 7 - 7) - 106821 + 106821 + 619*t to the form u*t + v and give u.\nAnswer: 609","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -766122 divided by 17\nAnswer: -45066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(3\/8))**(1\/71)\/(s**(-10)\/s)**(1\/27) assuming s is positive.\nAnswer: s**(6329\/15336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 174\/58*(-52)\/12?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 3*u**2)*(12*u + 2 - 2) + (2*u + 0*u - 4*u)*(u**2 + 2*u**2 - u**2) + (-6*u - 4*u - 2*u)*(65*u - 65*u + 54*u**2).\nAnswer: -688*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -326, -691, -1096, -1547, -2050, -2611?\nAnswer: -3236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (70\/(-21))\/(60\/(-189) + 16\/72). Solve -9*o + v = 62 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 207*r**2 + 5448*r + 10900. Determine y(-2).\nAnswer: 832","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/631443237 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4338)\/(-13496))\/(2\/8))\/(4\/14).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*o - 1515 - 3647 = -41*o + 134*o for o.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 5*b**2 - b + 5. Let x be z(5). Suppose x = -3*j - 0*j - 30. List the prime factors of (-64)\/j + 6\/(-15).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -6*c**2. Let z(y) be the second derivative of -130*y**3\/3 - 4939*y. Determine z(g(b)).\nAnswer: 1560*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31\/3 + -89\/24. Find the common denominator of l and -25\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 12:19 AM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + 10*t + 1. What is the remainder when 68 is divided by b(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 78790 = -5*c, 5*c = -51*u + 53*u + 78796. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 - 38 - (-11 + -2 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 14 (b) 0.62603 (c) 0.35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 99057735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -682*s**2 - 590*s**2 + 1264*s**2.\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -232939?\nAnswer: -23293b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.86 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -4*p - 22 - p**2 + 10 - 17. Let a be f(-11). List the prime factors of (18\/6 - (1 + 3))*a.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/66097 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 40*r + 10. Let s be g(3). Let p = s - 127. Put p, -1, 0.1, 25 in decreasing order.\nAnswer: 25, p, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k - 1. Let z be q(-7). Suppose -z*p + 19 = -5. Let n(c) = c**2 - c + 1. Is n(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -64?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 990735, 990714, 990679, 990624, 990543, 990430, 990279?\nAnswer: 990084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 17 = -4*c, 0 = -2*c - 4*x + 2 - 0. Suppose 0 = -0*a - c*a + 12. Solve 3*u - a = 5*p, -1 - 11 = u + 5*p for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 141*c + 141. Let p(g) = -1. Calculate b(x) + 141*p(x).\nAnswer: 141*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of 1\/3*s**3 + 0*s**4 + 0*s**5 - 3*s**2 + 1\/70*s**7 + 0*s + 0 + 0*s**6. Differentiate y(d) wrt d.\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of 7*x**6\/60 - x**3\/3 + 5*x**2\/2 + 18*x. Let i(s) be the first derivative of m(s). What is the derivative of i(q) wrt q?\nAnswer: 42*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-22))\/((-9709)\/28105)?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 16*o**2 - 3318*o. Let y(u) = 4*u**2 - 830*u. What is 4*v(g) - 17*y(g)?\nAnswer: -4*g**2 + 838*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 14*x**2 - 51*x - 3. Let y be ((-17)\/4 + 2)\/(3 - (-42)\/(-16)). What is v(y)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37*p**3 + 2*p**2 + 1141*p wrt p?\nAnswer: 222*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2919952 is divided by 583987.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of s**8\/336 + s**7\/120 - s**6\/240 - s**5\/30 - s**4\/48 + s**3\/24 - 5*s**2. Let t(q) = 0. Calculate q.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 10*a = -4. Let x be 2 - a\/(3 + -2). Is -1*(-505 - 3) + x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2016 and 32.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u + 7*u + 3*u + (-3 + 0 + 1)*(-3*u - 2*u + 4*u) + u - 2 + 2.\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47656.\nAnswer: 2, 7, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 20 = -5*b, 0 = 3*b - 4*v + 1 - 15. Suppose -32 = -3*n - 2*u, -b*n + n + 3*u = 4. What is the remainder when (138\/n)\/((-1)\/8*-2) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 + 1 - ((-7 - -188) + -120)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9746, -8892, -7468, -5474, -2910, 224, 3928?\nAnswer: 8202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1563, 1558, 1549, 1536?\n\"Answer: -2*h**2 + h + 1564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/((-132)\/(-60) + 18\/(-15))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -122448 divided by 2.\nAnswer: -61224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 7:29 PM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 110\/44 + ((-2)\/4 - -1). Calculate the remainder when s*10\/(-45)*-21 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-7)\/(35\/(-60)))\/(-1). Let v = b + 23. List the prime factors of v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143283564 a multiple of 237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 5*i**2 - 4*i + 5. Let g be m(4). Suppose 298 = g*b - 3*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*((3\/75)\/(24\/(-240)))\/(15\/50)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15457 + 15460. Factor 2\/5 - 2\/5*m**2 - 2\/5*m + 2\/5*m**x.\nAnswer: 2*(m - 1)**2*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207368 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b + 7 = b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of 0*i**4 - 1\/4*i**5 + 0*i**3 + 2*i**2 + 6*i + 0. What is the first derivative of m(a) wrt a?\nAnswer: -15*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 125.08 + -130. Let f = 4.42 + i. Let d = 4 + -9. Sort f, d, 0.\nAnswer: d, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 11 + 16. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-144 - 1)*22\/(-55). Suppose -3*t = -t - i. What is the second derivative of 25*c - t*c - 5*c**5 - c**5 wrt c?\nAnswer: -120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19.9 - -851023.\nAnswer: 851003.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -283 + 579. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*r + 5072 = 1612 for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**13\/c))**(-2\/3)*c**(5\/12)\/c**(-10) assuming c is positive.\nAnswer: c**(71\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 167537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 4*w - 143. Let q = w - 9. Which is bigger: 23 or q?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 - 13 + 13098*f - 7 - 9.\nAnswer: 13098*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - 3*f - 4. Let o(n) = -n**2 + 3*n + 5. Let u(g) = -5*c(g) - 4*o(g). Let i = 10 - 6. Determine u(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 2 + -2)*-1. Let l(g) be the third derivative of g**2 + k*g**4 + 0*g - 1\/3*g**3 - 1\/60*g**5 + 0. Differentiate l(q) with respect to q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 17047 = -5*p - 3246, -11033 = -4*p - y. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d - 7. Let z be b(6). Let q be 0\/(0 + -4)*z. Solve q = 4*m + m + 15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 603*m + 11696. Let a(k) = 302*k + 5868. Let c(x) = -5*a(x) + 3*h(x). What is the derivative of c(s) wrt s?\nAnswer: 299","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, 0.7, -5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11180 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31486.\nAnswer: 2, 7, 13, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0*h - 3*h + 2*h)*(2 + 1 - 5) + h + 5*h + 22*h)*(-58*h**3 - 67*h**3 - 34*h**3) as f*h**4 + n*h**2 + v*h**3 + s*h + j and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209040.\nAnswer: 2, 3, 5, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/45 and 13\/405864.\nAnswer: 2029320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3493769422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4*h = 30. Let v = 70 - h. Suppose -31 = -3*m + 14. What is the greatest common factor of v and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 239924 to the power of 1\/4, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) -5 (c) 2.5 (d) 5 (e) -114\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -1, 2, 5.\nAnswer: -16, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3352064557 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**32\/(z**(-7)\/z) assuming z is positive.\nAnswer: z**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (9937\/(-38))\/((-1)\/2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*f**2 - 24*f**2 - 4*f**3 - 26*f**2 - 31*f**2.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1308.04 * -1.2\nAnswer: 1569.648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + 8.58.\nAnswer: 10.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-48)\/(-45))\/(-4))\/(208\/(-130))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158638 is divided by 79298.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4512, 4562, 4616, 4674?\nAnswer: 4736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 10:16 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence asa when three letters picked without replacement from sssasaasas.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 5*x - 5. Let z be u(7). Suppose 0 = -3*j + 6, -t + j - z = -4*j. Let g be 8\/28*(t - -6). Sort 2\/15, 0.5, g.\nAnswer: 2\/15, 0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 78 + -71. Let g(i) = 9*i. Let v be g(2). Suppose 94 = y - c + v, -c = 4*y - 309. Calculate the greatest common divisor of y and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17441.\nAnswer: 107, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is db2d8 (base 15) in base 11?\nAnswer: 43592a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**2 - 16. Let o(a) = 9*a. Calculate o(i(n)).\nAnswer: -18*n**2 - 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5*x = 26, 0 = -x + 1 + 1. What is the remainder when 69 is divided by n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9800 is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 54*k - 2. Let n(g) = -g**3 + g + 2. Let d be n(0). Let o be x(d). Round o to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 take away 91546?\nAnswer: -91545.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4743*v - 5*r - 49 = 4741*v, 2*v + 4*v - 77 = r for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 80*j - 2129. What is a(27)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/6)\/((-2)\/6). Is (c + 4678)\/3 - -2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) -24.8 (b) -602 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 18 + 27*d + 28*d - 58*d to t + s*d and give t.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**5 - 1896*y**4 + 253936*y**3 - 6801120*y**2 + 24217600*y - 23232000 = 0 for y.\nAnswer: 2, 30, 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -455*z + 122*z + 130*z + 199*z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*x - 2*x - 3*x + (5 - 2 + 3)*(2*x - 4 + 4) + 0*x + 5*x - 2*x in the form k*x + a and give k.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n**2 + 7*n + 2. Let z(a) = -3*a**2 + 10*a + 3. Let l(j) = 7*k(j) - 5*z(j). Let g be l(3). Solve 18 = -g*r - 7 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1762.505193 and -0.3?\nAnswer: -528.7515579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53438*x - 106823*x + 53396*x.\nAnswer: 11*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 241 a factor of 999269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 6:31 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 17315.09 to the nearest one thousand.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((-1 - (1 + -1)) + 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 641 - 641. Solve j = -27*u + 22*u + 10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153384536?\nAnswer: 2, 37, 518191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*c = -161*c + 367*c + 182 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 14*s**2 + 48*s - 29. Determine a(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 153 - 152.9. What is the nearest to x in -1, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**3 - 861*y**2 + 3408*y + 20. What is r(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -4.4\nAnswer: 2.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d - 2. Let h(t) = t**2 - 37*t - 472. Let v be h(47). Let y(c) = -1. Let a(u) = -1. Let b(w) = 3*a(w) - 2*y(w). What is v*b(z) + p(z)?\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6884423766 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 6 = -0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((10\/(-8))\/1)\/(9*(-6)\/432).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2300 - 3.396110741.\nAnswer: 2296.603889259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(27) + sqrt(21)\/(-3*sqrt(7)).\nAnswer: -10*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 167559, -7 in increasing order.\nAnswer: -7, -5, 167559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*r**2 - 37*r**2 + 75*r**2.\nAnswer: 102*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -443, -1676, -3741, -6638?\nAnswer: -10367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.15? (a) 1\/4 (b) 2.4 (c) -0.3 (d) -1 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5074974773.\nAnswer: 11, 53, 79, 251, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2836 - -3969. What are the prime factors of n?\nAnswer: 5, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k - 1. Let s(n) be the third derivative of -n**3\/2 + n**2. Suppose -129*v = -121*v + 8. Give v*s(a) + u(a).\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-122)\/(-244)*2\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6345 rounded to the nearest 100?\nAnswer: -6300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*k + 5 = 0, -6 = -5*m + 5*k - 1. Suppose 1 = -q + m. Solve 3 = -o - y, -5*y + 13 = -q*o - 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 1073 + 1084 = -5*d, -2*d + 14 = -3*g for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 241, 486, 731, 976?\n\"Answer: 245*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1198 - 459. Is x*(2 - 3)*-1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 8*r + 814 = -10*r, -5*t + 1010 = 5*r. Let v = t - 140. What are the prime factors of v?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 4:03 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 524367027.\nAnswer: 3, 353, 6113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, p: 11, b: 1}. What is prob of sequence pu?\nAnswer: 11\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 372 = -3*f, t + 744 = 3*t + f. What are the prime factors of t?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63425320*-3.\nAnswer: 190275960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*r - r + 4*r.\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + -6 + (54 - 10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43025.\nAnswer: 5, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/3 + (-92)\/12. Let c = 4 - q. Suppose 2*i - 3*i = -1. What is the smallest common multiple of i and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3866.718 centuries in years?\nAnswer: 386671.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12902 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**(6\/17)*b*b)*b)\/(b\/(b**(7\/4)*b)*b))\/(b**(-1\/16)*b*b*(b**(8\/5)\/b)\/b) assuming b is positive.\nAnswer: b**(-2911\/1360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -196*k**3 + 5*k**2 - 11*k - 5. Let a(o) = -65*o**3 + 2*o**2 - 4*o - 2. Let i(w) = 8*a(w) - 3*r(w). What is the tens digit of i(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 100338243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 555 divide 55877955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + r**4 + 0 + (r**2 - r**2 - r**2)*(3*r**2 - r**2 - 4*r**2) - 8*r**4 + 3*r**4 - r**4 + (-1 - 4 + 4)*(r**4 - 13*r**4 + 0*r**4).\nAnswer: 9*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/45335, 40\/51, -0.5 in descending order.\nAnswer: 40\/51, -4\/45335, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 10*w + 7. Let o(a) = -15*a - 10. Determine -7*c(m) - 5*o(m).\nAnswer: 5*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1595 - 1074 = 111*x + 46*x for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - 9. Suppose -h + 40 = -4*v. Let c = v + 12. Solve -b + 5*b = -c for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)*-3*2 - sqrt(24))\/((-1*sqrt(72))\/sqrt(6)).\nAnswer: 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2370723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -150312 (base 8) to base 4.\nAnswer: -31003022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 14023 = 5*v, 2*r + v - 3626 - 3381 = 0. Does 17 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 561\/12986 + 1\/302. Let b(d) = -d + 4. Let k be b(4). Suppose -r + k*r = 0. Which is bigger: x or r?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55870, 111746, 167632, 223528, 279434, 335350?\nAnswer: 391276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 104, 194, 284?\n\"Answer: 90*f + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 26*c + 1402. Calculate k(-54).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a factor of 52096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -27, -54, -81, -108, -135, -162?\n\"Answer: -27*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(625)*5 + sqrt(25))\/sqrt(5))**2.\nAnswer: 3380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110010 (base 2) to base 6.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 0 + 2)*(-3*c**2 - c**2 + 0*c**2)*(2*c - 6*c + 3*c) + 0 - c**3 + 0.\nAnswer: -25*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2035 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f + 4. Let x be c(5). Let a(q) = -1. Let k(v) = 4. Let w(t) = 3*a(t) + k(t). Let n(b) = -3*b + 2*b + 3*b - 3. What is x*n(l) - 4*w(l)?\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 8 = -5*o. Suppose l = 2*r + 22, -l + o*r - 2*r = -32. Solve -k = 3*k + l for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3 + 5)*(180 - 238 + 2205*t + 60) in the form m*t + o and give m.\nAnswer: 2205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 274*t + 2516. Let d be h(-7). Calculate the highest common factor of d and 728.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/6*(-602)\/35.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/5 of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 34*j + 61. Calculate g(-22).\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + 1. Let k(b) = 2*b**2 + 7*b - 28. Let f be k(-6). Solve -w = -f*w + o for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -12 - (9\/(-3) - -6). Is (5\/j)\/((-2)\/402) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -5*r + 0*r**2 + 11 + 1\/2*r**4 + 0*r**3. Differentiate p(u) wrt u.\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 922523689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**2 - 71*u + 245. Let l be y(29). Which is the third biggest value? (a) -0.5 (b) l (c) -0.3 (d) -9 (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 6:36 AM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -188*0.7\nAnswer: -131.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(192) + 3) - (-3 + ((sqrt(192)*-2)**2 - sqrt(192))).\nAnswer: -756 + 32*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2101\/3 + (-18 - 901\/(-51)) and 200.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 272 = 5*x + 3*o, o + 8 = 3*o. Suppose 0 = -l + 3*l - x. Calculate the remainder when l is divided by (-9)\/(-1)*(-1 - -2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1635102 a multiple of 133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7884335 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-32)\/(-48) - (-2 + (-692)\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 5*s - 20, 3*c - 4 = -2*s - 15. Suppose 0 = 3*n - i - s, -n + 5*i - 19 = -1. Which is smaller: n or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3743945, 7487958, 11231971?\nAnswer: 14975984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25 in 5, -92, -1.5, -4\/7?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*y**5 - 2036*y**4 - 40258*y**3 + 129116*y**2 - 76056*y - 10800 = 0 for y.\nAnswer: -18, -2\/17, 1, 2, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36742147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4376*p**2 - 6*p - 229?\nAnswer: 8752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -237 - -566. Suppose p = 4*a + 89. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 5*a + 4. Let c be 141\/(-27) - (-6)\/27. Let n(g) = g + 1. Determine c*h(b) + 20*n(b).\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6125*u**2 - 976 - 6279*u**2 + 12393*u**2 + 1948 - 970.\nAnswer: -11*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a micrometer in nanometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 233.2123 days?\nAnswer: 20149542720000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 684 + -685. What is the closest to 0.1 in -4\/5, 0.3, -0.2, v?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5581 + -5580. What is the biggest value in -5, 0.011, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1121 divided by 79.\nAnswer: 1121\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 22, 5 in decreasing order.\nAnswer: 22, 5, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 f when two letters picked without replacement from {y: 1, o: 1, b: 1, j: 1, f: 1, a: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -555 - -8877\/16. Let r be (-82)\/(-6)*(-975)\/10. Let t = -1381 - r. Calculate the common denominator of a and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -351*u - 256*u - 34*u - 6410 = 0 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 28\/6*(-21)\/(-14). Find the third derivative of -52*l**4 + 9*l**4 + q*l**2 - 79*l**2 - 26*l**4 wrt l.\nAnswer: -1656*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express h**3 - 3*h**4 + h + 164 - h + h**2 - 165 in the form j*h**3 + q*h + v*h**4 + k*h**2 + p and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -4. Suppose t*u = 7*u. Suppose w + 1 + 1 = u. Let m(x) = x**3 + 4*x**2 + 2*x - 2. Calculate m(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/150)\/((-14208)\/(-71040)).\nAnswer: -16\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {s: 12, n: 3}.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**3 - 3*v + 3. Let x be u(2). Let d = x + 30. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -z**3\/3 - 10. Let c(m) = 2*m**2. Determine w(c(i)).\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 - -83. Let z be 45\/5*(4\/(-12) - -1). Calculate the greatest common factor of z and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234*u + 1223*u - 1311 = -322*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 3*p + s, -152548*s = -4*p - 152549*s + 32 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 7:30 AM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -15*p - p**2 - 14*p + 31*p = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hqhs when four letters picked without replacement from assssshhasqshssqsq.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 56, 211, 478, 863, 1372, 2011?\n\"Answer: c**3 + 50*c**2 - 2*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 740\/(-444)*(-30 - 3)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46.5 + 46.46976. Let m = -0.03 - s. What is m rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 5 (c) -1005\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4530 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -5*d + 16. Let z(c) = -c + 5. Let u(q) = 2*a(q) - 7*z(q). Let o(k) = k + 1. Give -4*o(i) - u(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 447458414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -290930 by 2.\nAnswer: -145465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 55500\/5500 - (-24)\/(-22)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 43160 and 11005800?\nAnswer: 11005800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 351652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1.58 (b) 0.05 (c) -2\/15 (d) -2 (e) -0.23 (f) -164\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1327\/22 - 121\/2. Let t = 9.9 - 10. Which is the smallest value? (a) i (b) t (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21221 - 2?\nAnswer: -21223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -w + 18 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 309 - -3. Does 24 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16365?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -7*a + 25 - a**2 + 6*a**2 - 23 - 4*a**2. Let z = -2 - -2. Suppose 2*r + 7*k - 2*k = -8, 3*r + k - 14 = z. What is j(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 227\/5 + -1961\/40. Let h be 1\/74*6\/20. Let y = h + 37719\/5180. What is the common denominator of y and k?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 7. Is i a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -329 - 29?\nAnswer: -358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -4, 3, -1 in decreasing order.\nAnswer: 3, -1, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*f + 3 + 9*f**3 - 13*f**3 + 4*f wrt f?\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-38)\/(-8) + -5 - (292534\/8)\/(-11) and 30?\nAnswer: 16620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -153150 + -10?\nAnswer: -153200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tnnnttn. Give prob of sequence nt.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -463 - -55339.\nAnswer: 54876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = 5*d - 2*p - 24, 2*d - 42 = -3*p. Suppose 2*a - d = -v, -3*a = 8*v - 4*v - 89. What is the greatest common divisor of 253 and v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6287 + 6291. Let f(m) = -10*m + 22. Calculate f(o).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6730\/(-250) - -13*(-34)\/5525.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 13, -5, 40 in ascending order.\nAnswer: -5, 0, 13, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 200333310 + -10?\nAnswer: 200333300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (34 - 6*w**2 - 8 - w - 25 + w**3)*(0*w - 8*w + 3*w)*(2 + 0 - 1) in the form o + i*w**3 + y*w**4 + x*w + t*w**2 and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - h - 2*l - 1 = 0, -4 = h + 5*l. Let i = h - -1. Let c = -92 + 90. What is the third biggest value in c, i, 0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -0.0964666\nAnswer: 0.3858664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -609, -607, -605?\n\"Answer: 2*q - 611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 6*p = 22. Calculate the remainder when 19 is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8277 divide 1844780122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one ninth of a week in seconds?\nAnswer: 67200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12701138227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00012345205 rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from peyqmwp. Give prob of sequence qm.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, a: 1, y: 6, o: 5}. Give prob of picking 1 w, 1 a, and 1 o.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/((-14)\/56*6)*6\/(-1). Suppose 0 = -0*o - 3*o - 12. Suppose -3*w - 3 - 3 = 0. Sort o, i, w.\nAnswer: o, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/10 of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/4, -1, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -96*l + 93*l + 12 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -155 and -151476.\nAnswer: 23478780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2225 is divided by 359.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/5 - 688641*u\/5 + 2065932\/5.\nAnswer: -(u - 3)*(u + 688644)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76, -83, -92, -103?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 0, 7, 28, 69, 136, 235, 372, 553?\n\"Answer: z**3 + z**2 - 3*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x - 2. Let w be l(-7). Suppose 7 = 4*z + w. Which is the third biggest value? (a) z (b) -4 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/81, 36, 0.1, 4\/19?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1406 - 1995. Is -589 <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 205\/19 - 161\/228. What is the common denominator of 52\/14*-2 - 1 and g?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1715.3 - 1144.19. Let i = p - 571. Which is the biggest value? (a) -4\/5 (b) 2 (c) i (d) 0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 3:37 PM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*x = 103*x - 5. Which is the nearest to x? (a) 2\/27 (b) -2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 9 = -3*a, 0*o - 4*a = o + 8. What is the tens digit of 4\/(o\/721) + (-8)\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -2*y - b + 16, -b = 2*y - 13. Let o be (8174\/305)\/(2\/(-5)). Does 14 divide y\/(20\/8) - o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37*q*u**2*w**2 - q*u**2 + 68*q*w**3 + u**2*w**3 + 6*u*w**2 - 2*w**3 wrt w.\nAnswer: 408*q + 6*u**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a day in hours?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 125, -4, 2.\nAnswer: -4, 2, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -1. Suppose -8 = -6*k + q*k. Let u be 20\/(-3)*(-3)\/k. What is the greatest common divisor of 10 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 5*q**2 - q - 7. Let s(l) = l**2 + 4*l - 6. Let g be s(-5). Let o be -4 + (-5 + 1)*g. Suppose o = 3*a + 14 + 1, u = 3*a + 20. Calculate c(u).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*g**5 - 163*g**4 + 163*g**4 + (-4*g**4 + g**4 + 0*g**4)*(3*g - 3*g + 2*g) - 8*g**5 + 8*g**5 + 12*g**5.\nAnswer: 22*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 5*a = 8. Suppose 29 = a*c - 67. Suppose -8 = 2*u - c. Solve -4*r = -6*r - u for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 174.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 608 = 4*v - 8*o, -3*o = -v + 152. Which is greater: 151 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-3) - 13\/(-3). Suppose 2*l = -5*i + 18 + 32, -y*l + 2*i + 124 = 0. What is the remainder when 119 is divided by l?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -719 divided by 82\nAnswer: -719\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2893.489 - 2892. Let y = 0.199 - t. Let z = y - -0.79. Which is the fourth smallest value? (a) -0.3 (b) -1 (c) z (d) -2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 255920\/17?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/81132930 and 19\/2296215?\nAnswer: 243398790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/12 + (15 - 936\/54). What is the nearest to 0 in -1\/6, b, 5\/26, 0.2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 181 + 29 = 0. Let l = s + -26. Let c = -13 + l. What is the lowest common multiple of 15 and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -7*i**2 + 25*i + 56. Let g(b) = b**2 - b - 1. Let w(q) = -6*g(q) - x(q). Calculate the remainder when 60 is divided by w(22).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-17)\/(-51) - (-6)\/9. Which is greater: 3\/124 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-294)*-3)\/((-20)\/(-140))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -210 - -208. Which is the third smallest value? (a) s (b) 0 (c) 223\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(2\/3))**(-4\/31))**(-34)*(b**1\/b*b*(((b\/b**(-1\/8))\/b*b)\/b)\/b*b)**(-17\/6) assuming b is positive.\nAnswer: b**(6137\/1488)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -3*i**5\/2 + 132*i**4 + 1653*i**3\/2 + 1815*i**2 + 1686*i + 564 = 0.\nAnswer: -2, -1, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -0 - 3. Let f = -3 - 0. Let b = f + 4. What is the nearest to h in b, 3, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33 and 64326614?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 806 a factor of 49623808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d + 2*d - 2*d + 0 + 0 - 2*d - 3*d + d + 0*d + (1 + 0 + 1)*(0*d + 2*d - 4*d) + (-2*d + 2*d - 2*d)*(5 - 2 - 4).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 32 = -2*c. Suppose 0 = -2*y + 3 + 3. Let s be (9 - y)*(-4)\/c. Put s, -4, 1 in descending order.\nAnswer: 1, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r = -6*r + 26 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 611069345.\nAnswer: 5, 43, 79, 35977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 10*t**3\/3 + 2072*t**2 + 852362*t\/3 - 113980 = 0.\nAnswer: -417, -205, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t + 4 = -24 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -349840 times 93\nAnswer: -32535120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -48.37 and 17.9271.\nAnswer: -30.4429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/4 + 27\/(-12). Let m = -65 + 70. What is the third smallest value in m, y, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 25 + -41 - (-7 + 1)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4603 - 4600. Which is the third biggest value? (a) y (b) -1.1 (c) 4 (d) 5 (e) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuoopojuoooduuuuppd. Give prob of picking 1 o and 1 p.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + b51849?\nAnswer: b5184d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a day in minutes?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 11011112011?\nAnswer: 11011112022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*j = -27*j + 215*j + 1660 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2213000 (base 4) to base 3\nAnswer: 112122212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19977990?\nAnswer: 2, 3, 5, 59, 11287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i - 2. What is the least common multiple of 2 and w(-7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -3*f + 20, 13*f + 2*t - 1707 + 1660 = -t for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 5 + 0)*(-4 + 4 + 2*p) - p + p + p + (-2*p + 1 - 1)*(-3 + 2 - 1))*(2 + 4 - 7 - 3 + 1 + 1 + (0 - 1 - 1)*(1 + 2 - 2))*(5 - 4 + 0)*(22 - 124 - 108).\nAnswer: 840*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 3*l**3 - 4*l**2 - l + 4. Let y(o) = 12*o**3 - 15*o**2 - 3*o + 15. Let k(u) = -9*q(u) + 2*y(u). Factor k(c).\nAnswer: -3*(c - 2)*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129930.5ml in litres?\nAnswer: 129.9305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/2, -0.3, -0.5, -0.2, -19\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of 2*a**4\/3 + 2*a**3\/3 + 2*a**2 - 28*a. Is q(3) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2176.837 to the nearest ten.\nAnswer: 2180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 535 = 4*n + n, 2*v + n - 213 = 0. Solve -v*a - 10 = -101*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -99277496.6999766 - -99277484. Let h = 164 + -151.3. Let m = d + h. Round m to six dps.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 405947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -6. Suppose 4*c - l*u - 4 = 0, 0 = 4*u + 7 - 3. Solve q + q + 4 = c for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (207\/3)\/3 - 1?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 165 and 936210.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 18 + 36 + 11*w**3 - 3 + 12 - 2.\nAnswer: 11*w**3 + 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1870 (base 14) to base 15\nAnswer: -1490","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand c - 4 + 4 + (-3*c + 4*c + 0*c)*(-1 + 0 - 1) + (2 - 1 + 1)*(c + 0*c - 7*c).\nAnswer: -13*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 10872*s - 293666. What is m(27)?\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133 = 4*d - 27. What is the least common multiple of d and 6?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o + 3*o - 3*m + 9 = 0, -5535*o = -5533*o - 4*m + 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 79957.7349 + -79968. Let q = 10.58 + r. What is q rounded to two dps?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/12 - -17\/84. What is the third smallest value in 16, g, -1\/6, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 158, 368, 578, 788, 998, 1208?\n\"Answer: 210*o - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 555559?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.4 and 4.\nAnswer: -13.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (10101\/78 - 126)*(251\/77 + -3)\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 240 + -422. Is -182 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*j = 55*j + 80. Find the first derivative of -10*p**4 - p**4 - 4*p**2 - 52 + j*p**4 - 8*p**4 wrt p.\nAnswer: 4*p**3 - 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1458991415 and 490.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 27 = 3*n. Suppose 3*i - n = 2*i. What is the greatest common divisor of i and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1031 - -1054. Solve 6*f - y - 7 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of 2*d**5\/5 + 11*d**4\/12 + 5*d**3\/6 + 27*d. Let w be z(-7). What is w rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j. Let s(g) = -7*g - 2. Let i(m) = 6*r(m) + s(m). Determine i(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7, 2\/3, 6\/11?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 10939 divided by -10939\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9632002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54333 = 2408*z + 99738 - 31263 for z.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 38*y + 2. Let b(l) = 44*l + 3. Let p(g) = -2*b(g) + 3*i(g). Let d(w) = 245*w + 1. Calculate d(p(j)).\nAnswer: 6370*j + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 516448122?\nAnswer: 2, 3, 59, 79, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s**2. Suppose 7*c - 9*c = -10. Let n(y) = -3*y + 0*y + 11*y - c*y. Determine f(n(v)).\nAnswer: -18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/116 and 75\/638.\nAnswer: 1276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 54*n**4*v**3 + 2*n**4*v + 9*n*v**2 - 2*n - 2*v**3 wrt n?\nAnswer: 648*n**2*v**3 + 24*n**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 17*r + 99*r - 1)*(1 - 3*r**3 - 1) as z*r + p*r**2 + m + b*r**4 + h*r**3 and give b.\nAnswer: -348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9156 is divided by 2993.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**4 - 37*d**3 + 91*d**2 + 781*d + 363 = 0?\nAnswer: -3, -1\/2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -28674?\nAnswer: -28680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m**4 + 145*m**3 - 28 - 2*m**2 + 159 + 2*m + 143*m**3 - 289*m**3 to h + o*m + w*m**2 + l*m**4 + j*m**3 and give h.\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -809341*a - 3642956?\nAnswer: -809341","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-99)\/9)\/((10\/(-4))\/((-40)\/(-48)))?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i + 2*i - 5*i + 0*i - 2. Suppose -14 = 2*l + 2*y, 0 = 4*l - 2*l + y + 10. What is the units digit of d(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**0\/n)\/n)**(-17)\/(n\/(n\/(n**1\/n)))**17)\/((n**(1\/2))**(3\/13)\/(n\/n**1)**(-25\/7)) assuming n is positive.\nAnswer: n**(881\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2136129 and 807?\nAnswer: 807","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12901668.\nAnswer: 2, 3, 13, 191, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of u**8\/6720 + u**7\/1260 + u**6\/720 - u**5\/120 + u**4\/3 - u. Let k(t) be the third derivative of p(t). Does 22 divide k(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r. Let k(z) = z**2 - 4*z. Let q(b) = -35*d(b) - 5*k(b). Factor q(s).\nAnswer: -5*s*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xqr. Give prob of sequence rqx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 36057 and 38575 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 266 + -255. Suppose 11*l + v*l = 9262. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v + 2*v + 0*v**2 - 10*v**2.\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -883 - -1247. What are the prime factors of g?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 106*j**4 - 2*j**3 + 1 - 108*j**4 - 1 + 29*j**2 + 2*j to the form l*j**2 + x*j**3 + f*j + p*j**4 + c and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 10*b**2 + 10*b - 9. Let l be c(9). Factor 3*j**4 + 12*j + l*j**4 + 1 + 12*j**3 + 1 + 18*j**2 + 1.\nAnswer: 3*(j + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.15 - -4.15. Which is the closest to v? (a) -0.4 (b) 0.3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000384946 rounded to 6 dps?\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 38228*24\nAnswer: 917472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.2 + 5.11. Let i = h + -0.91. Sort -2, 2\/7, -3\/5, i in ascending order.\nAnswer: -2, -3\/5, 2\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-10)*(-5 + 560\/104)\/1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -11, -51, -161, -377, -735, -1271, -2021, -3021?\n\"Answer: -6*h**3 + h**2 - h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**2 - 7165*h + 35767. Calculate d(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y - 517 = -374. Solve -y*l - 5 = -12*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - (-2 + (-16)\/2). Let k be t\/(-10)*(-360)\/9. Let f = -32 + k. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + i + 8. Let z(v) = -5*v**3 + 2*v**2 + 3*v. Let d be z(i). Let m = 11 - -3. What is the greatest common factor of m and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 5:57 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 427365.9638016 - 427370. Let o = -0.0362704 - v. Let x = -4 + o. What is x rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -172752, -345502, -518252, -691002?\n\"Answer: -172750*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from zmzzmmmmzz.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 3*g = 6, -g - 4 = 22*q - 23*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 87\/5 + -17. Let v(s) = -s**3 + 26*s**2 - s + 21. Let w be v(26). Let d be 15\/(-25) + w\/(-50). Which is the nearest to 3\/2? (a) -3 (b) o (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 2 - 4\/(-2 + 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 605\/23 + 9\/46. Let t be (-4)\/(-35)*(-25)\/310. Let i = -15371\/3906 + t. Calculate the common denominator of i and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 2*o = 2, -13199*q + o + 12 = -13194*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2916624588 to the power of 1\/2, to the nearest integer?\nAnswer: 54006","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4413034*r - 4413002*r - 416 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 18 - 7, 23 = k - 3*c. Suppose k*n - 322 = n. Let t = n - 24. What is the remainder when t is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 4. What is the first derivative of 5 + 0 - y - 2*o**2 + 3*o**2 wrt o?\nAnswer: 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(18\/25))\/(1105\/(-2652)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-27))\/((-148)\/(-1258))?\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 880?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (204\/(-663))\/(((-12)\/10)\/(36\/60))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of f**5 - 1\/6*f**6 + 0*f - 9\/4*f**4 - 13 + 7\/3*f**3 - f**2. Factor y(h).\nAnswer: -h*(h - 2)*(h - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -444*z**6 + 20*z**2 - 3*z.\nAnswer: -53280*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -16*k**4\/3 + 1340*k**3\/9 - 2000*k**2\/9 - 10160*k\/9 - 832\/9 = 0?\nAnswer: -2, -1\/12, 4, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 19819133 to the power of 1\/3, to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 AM and 7:18 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-378)\/(-108)*1\/(-14))\/(20\/(-80))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 948 by -316.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 531 + 2264a?\nAnswer: 22b7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 231 and 1001?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (72\/10)\/((-1)\/(-290)). Let s = u - 1338. Round s to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 450 and 9454950.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23 - 11) + -5 + 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - t**2 - 2*t - 36. Give o(0).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - 3*g + 6*g)*(4*g**4 - 4*g**4 - 2*g**4) + (-45 - 16*g**3 + 45)*(-g + 0*g**2 + 2*g - g**2).\nAnswer: 12*g**5 - 16*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 5:04 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f + 74. Suppose 27 = -3*m - 180. Let h = -69 - m. What is the tens digit of j(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -272?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/8616 and 53\/42?\nAnswer: 60312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 4*y - 12, 0*u - 2*u - 4*y = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 + j. Let n(s) = 2*s**3 + 6*s**2 + 9*s + 8. What is 6*a(t) - n(t)?\nAnswer: -2*t**3 - 3*t - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11\/4 in -1\/6, -0.5, 52.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43747\/19509 + 4\/929. Let x = j + 11\/7. Which is the biggest value? (a) -1 (b) 2\/15 (c) x (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11925 divided by -5\nAnswer: -2385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4018350, 16073379, 36165086, 64293465, 100458510, 144660215, 196898574?\n\"Answer: -l**3 + 4018345*l**2 + l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000874653425 rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - 6273*c - 156204. Calculate m(-25).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 408\/32 - (-1)\/4 - (0 + 1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-48)\/(-8)*2*62\/8. Suppose u = -4*l + 91 + 319, -j = -l - 5*u. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001133688 rounded to five decimal places?\nAnswer: -0.00113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 177414983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*n**4 - n**4 + 4*n**4 + (2 + 0 - 4)*(-2 + 2*n**4 + 2) + 0 + n**4 + 0 + (-13 + 13 - 5*n**2)*(-2*n**2 + 4 - 4).\nAnswer: 5*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 53 = -4*a, -2*a = -6*b + 11*b - 71. Let p be 5\/(5\/57) + (10 - b). What is the greatest common divisor of 8 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 127*s + 1 = 129*s, 3*s = -5*y + 49 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 106923614?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -3*a + 39, 6*y - y = -a + 13. Let o = a + 32. Let q(t) = -t**2 + 8*t + 9. Let h be q(8). What is the highest common factor of o and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 89*u**3 - 2*u**2 + 1. Let n be y(1). Let z be (-4 - n\/(-12))*3. Factor -5 + 2 + m**2 + 8*m - z*m.\nAnswer: (m - 3)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27 - -41. Let u(v) = 3*v - d - 2*v - 12 + 24. Give u(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18cd5c (base 15) in base 16?\nAnswer: 126e4f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-21)\/(-35))\/((-63)\/(-30)). Let k*d - 2\/7*d**3 + 2\/7*d**2 - 2\/7 = 0. Calculate d.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + (-8 + 21 + -9 - 8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x - 14*m + 8, -1993*m + 8 = 4*x - 1990*m for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s = -0*s + 4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0647 + 41.6353. Let d = g + -40.772. Round d to 2 decimal places.\nAnswer: 0.93","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1306 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3152.4 - -3530. What is t rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*w + 4*l = -49*w - 3048, 2*l + 3060 = 3*w. What is the greatest common divisor of 224 and w?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 + -17. Suppose -3*c + 74 = 4*u, 0 = -3*c - 5*u + n + 61. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - j - 33 = 0, 30 = 5*r + 2*j + 6. Calculate the remainder when 18 is divided by (-2)\/(-3*1\/r).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 28*x**3 + x**2 - 6*x + 4. Is 9 a factor of v(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 760734603?\nAnswer: 3, 509, 166063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-10) + 66\/(-10). Let j(r) = -r - 2. Let f be j(c). Let p = -8 - -12. Solve m = f*q + 27, -p*m = -2*q - 9*m for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -938198, -938199, -938200, -938201, -938202, -938203?\nAnswer: -938204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {m: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 13*g**3 + g - 1. Let o(h) = h**2 + 4*h + 5. Let b be o(-5). Calculate the remainder when 192\/5 - 4\/b is divided by f(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 2*j - 26, -2*t = -5*t - j - 20. Let o(m) be the first derivative of -m**2 - 6*m + 2. Let h be o(t). Solve -4*y = -h*y - 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + i**2 - 1. Let m(k) = -5*k**3 - 5*k**2 - 3*k + 5. Let f(w) = 6*j(w) + m(w). Let v be f(3). Let l = 37 - v. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6802949709 to the power of 1\/5, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, -3, 10, -4 in descending order.\nAnswer: 10, -3, -4, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -15*i + 17*i. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/390 + 2504*(-26)\/1676480.\nAnswer: -1\/124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178 = -n - 3*a, 5*n - 366 = 3*n - a. Does 8 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 45 (b) -0.13 (c) -0.3 (d) 4\/6877 (e) 2\/5 (f) 3 (g) 1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**2 + 19*j + 7. Let r be t(-11). Suppose -r*c + 8354 = -21366. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3048.453s to hours.\nAnswer: 0.8467925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -97 - -96.6. Let t = -42.99 - -43. Put s, 1\/6, t in increasing order.\nAnswer: s, t, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2333667\/5 (b) 0 (c) -1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*a**3 - 5*a**5 + 14*a**3 + (a**5 + 3*a**5 - 2*a**5)*(-1 + 0 + 0) + 2*a**2 - 2*a**2 + 4*a**5.\nAnswer: -3*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -171 + 58. Let s = y - -119. Solve -c = 4*c - q + 3, 0 = -3*q - s for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of 1\/12*i**5 + 0*i**3 + 1\/40*i**6 + 9 + 1\/12*i**4 + 0*i - 1\/336*i**8 + 3*i**2 - 1\/210*i**7. Factor l(a).\nAnswer: -a*(a - 2)*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 326*o**2 - 136*o**2 - 486*o**3 - 190*o**2.\nAnswer: -486*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aooeeeaeooo. Give prob of picking 2 e.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 divided by -48282.\nAnswer: -22\/24141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of 0*p - 3*p**2 + 0 + 0*p**3 + 0*p**4 + 1\/60*p**5. Let h(z) = 37*z**2. Give u(h(r)).\nAnswer: 1369*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 7*j**3 - j**2 + j - 1. Let s be n(1). Let y = 719 + -711. Let p be (-12)\/y - (-9)\/s. Solve p = 6*x - x - 15 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + d + 1. Let p(r) = -1. Let t be 1 - ((-4)\/(-7) + (-140)\/(-98)). Let i(n) = -3*n + 3. Let k(l) = t*i(l) - 2*p(l). Determine -k(q) + 2*u(q).\nAnswer: 2*q**2 - q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3147 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 8:18 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*r = -a - 6, -5*a = -4*r - 46. Suppose -a*j + 10 = -j. Suppose -l - j*l = -3. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 13) to base 16\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 y when two letters picked without replacement from wiyindc.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15466387253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -682, -5439, -18366, -43549, -85074, -147027, -233494?\n\"Answer: -681*k**3 + k**2 + 7*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*y + 3*y + 3. Let o = -36.49 - -0.49. Let n = o - -36.2. Which is the closest to n? (a) -0.3 (b) 0 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12110123322 - 102?\nAnswer: 12110123220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 3 (c) -236\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4*n - 19. Let h be o(6). Suppose -4*i - 5 = -h*i. What is the derivative of -13 - i*k**4 - k**4 - 5 wrt k?\nAnswer: -24*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(-15) + (-11)\/3. Let u be (-2)\/2 - w\/1. Let o = -297 - -298. Which is bigger: o or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2341.156 - -2355. Let v = b + -14. Let q = v + 0.17. Round q to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**4 - 10308*h**3 + 26512117*h**2 + 265987722*h + 425844496 = 0 for h.\nAnswer: -8, -2, 5159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1586212\/3 + -536878. Let i = l - -7804. Let k = 3899\/12 + i. Find the common denominator of -67\/2 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -8 + 48\/(-13 - 490\/(-28))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 68630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -4 in decreasing order.\nAnswer: 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 5573*q + 378552. Give p(-68).\nAnswer: -412","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -362, -358, -354, -350, -346, -342?\nAnswer: -338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 5\/4 (b) -2733 (c) -15\/19 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 13) in base 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 116424 and 792?\nAnswer: 116424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 19157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 498 and 11288?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 24\/2279 or -1?\nAnswer: 24\/2279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c**2 + 2*c. Let o(v) = -2*v**2 - 2*v. Let p(t) = 3*g(t) + 4*o(t). Let u(l) = 3*l**2 - 5*l. What is 5*p(b) - 2*u(b)?\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 31380782893 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 203 + 29 = -3. Calculate the remainder when 112 is divided by n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*g - g - 12*g - 2*g + 0*g + 0*g + (0 + 3 - 4)*(2*g - 3*g + 0*g) + 4 - 4 - 2*g + (2 + 0 - 3)*(-4*g + 3*g + 0*g))*(1 + 0 + 0)*(3*g - 3*g + 6*g).\nAnswer: -48*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003310038 to five decimal places.\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j - 1. Let v(l) = 38*l**2 - 5*l + 23. Let q(w) = 30*w**2 - 3*w + 18. Let c(z) = 11*q(z) - 9*v(z). Calculate -c(x) + 9*s(x).\nAnswer: 12*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2443097, -4886189, -7329281?\nAnswer: -9772373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001313584 rounded to 6 decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**2 - 5170*g - 215413. What is b(-41)?\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4652 and -73.\nAnswer: 4579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**2 + z + 1. Let p be m(-1). Let b(g) = -g**2 - 6*g + 9. Let k be b(-7). Find the second derivative of -5*o**2 - 3*o + 0*o**k + o**p wrt o.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1210111 (base 3) to base 5.\nAnswer: -20214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - 4)\/((-3)\/(-6)). Let x be 6\/(1 - g)*-1. Let r = 2 + x. Solve r = 4*m - o + 7, m - 2*o - 4 = 2*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 2*c = -17, -4*s - 4*c + 36 = -0*c for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + -1)*(-75)\/15. Suppose b*x - 9 = 56. What is the remainder when 30 is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 3510?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1847524520?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 1558963536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7462*a**3 - 7432*a**3 + 14898*a**3.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5.9 + -114\nAnswer: -108.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7\/20 + -39\/10. What is the common denominator of j and 81\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 19 = 5*b. Solve b*y + 0*y = 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of s**4\/4 - 10*s**3\/3 + 13*s**2\/2 - 12*s - 6. Let b be g(9). Suppose b*y + 267 = 27*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-104)\/52*2*(-4)\/(-496).\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -r**8\/10080 - r**7\/5040 + r**3\/3 + 5*r. Let l(o) be the second derivative of u(o). Determine d so that l(d) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 297697 and 3490?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + -1)\/(4\/14292*-3). Find the first derivative of -g*c**3 + 7 + 2*c + 1171*c**3 - 38 wrt c.\nAnswer: -60*c**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2277 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - (0 + -2 + -616). Suppose -3*j + 462 = 3*u - 0*u, 4*u = -3*j + k. Suppose -5*v + u = -182. What are the prime factors of v?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-2))\/((-3)\/(-6)). Let i = -1 + m. Which is bigger: i or -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 858, 865, 884, 921, 982?\n\"Answer: s**3 + 857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 0.037 (c) -3 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 4*z - 20 - 4, 0 = -4*u + 4*z + 40. Suppose 0 = -5*v + 10, 2*v + u = -2*k - 0*v. Let p(s) = s**3 + 7*s**2 + 2*s + 1. Is 25 a factor of p(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/87 and -3*(-2)\/6*-5?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -416 + 431. Suppose 18*d**3 - v*d**4 + 14*d**4 - 6*d**2 - 16*d**3 - 4*d + 7*d**4 + 2*d**5 = 0. Calculate d.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + 30*p**2 + 25*p - 119. Let q be r(-29). Let d(z) = z + 3 + 6 - 4 - 3. Determine d(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 10:33 AM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-6)*((101517\/(-38))\/13)\/3*1?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 21 = -4*h. Let u = -5335 + 5329. Is u not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1259 = d + 17*i - 16*i, 3*i + 3807 = 3*d. Is d a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 5*a**2 + 4*a - 2. Let d(x) = -x**3 - x**2. Let o be d(-1). Let w(i) = -i**2 - i - 6. Let m be w(o). What is the tens digit of r(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 944612*b**2*l**2 + 5*b**2*l + 3*b*l + 610 wrt l?\nAnswer: 1889224*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*h = 47*h - 160 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -7.5. Let p = i + -2. Let a(d) = -d**3 - 7*d**2 + 7*d - 4. Let f be a(-8). What is the smallest value in p, f, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -9. Let h be 18\/j + (-6)\/24. Let k = 17 - 18. Which is the closest to k? (a) -3 (b) -2\/7 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8360913 is divided by 2121?\nAnswer: 2052","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 11:22 AM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 - 17. Which is the closest to -1? (a) 0 (b) v (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10978+0.1\nAnswer: 10978.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10646 to the power of 1\/2, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -69 + 74. Suppose d*g - 8 = 9*g. Let s = 2 + -5. Which is smaller: g or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -6985.\nAnswer: 2095.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.101869 + 0.1024. What is a rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3775895?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 1, 1\/118?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 15 + 28*s + 12 + 0 - 6. Let u(k) = -7*k - 5. Let i(n) = -5*a(n) - 21*u(n). Let p(g) = 4*g**2. Give p(i(z)).\nAnswer: 196*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of -2\/3*w**3 + 1\/15*w**5 - 1\/120*w**6 + w**2 + 0 + 0*w + 1\/24*w**4. Determine m(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, c: 4, l: 1, j: 1}. What is prob of picking 2 c and 1 j?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1330 - 26673\/20. What is the common denominator of (-6)\/(-18) + (-12)\/8 and t?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2485.1 rounded to the nearest 100?\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 less than or equal to -47.35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cczccccz. What is prob of picking 1 c and 1 z?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3072 is divided by 3050.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 7\/2 (b) -4 (c) 15 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -6. What is the second derivative of 0 + y + 5*t + 2*t**3 - 3*t wrt t?\nAnswer: 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 u when two letters picked without replacement from usddgudssdsusug.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -9, 0*o = -3*n - 4*o for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52 - 129 - (-10 + 5)) + -7 + 19 + -10.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 11*s - 46. Let o(h) = 36*h - 140. Let z(x) = 16*m(x) - 5*o(x). Let b(f) = 2*f**2. Determine z(b(u)).\nAnswer: -8*u**2 - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 268169?\nAnswer: 11, 24379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.07+40997.757\nAnswer: 40997.687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 22\/3? (a) -3\/4 (b) 0 (c) 3\/7 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/12)\/(2\/8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 4:00 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8 - 24)\/((-3)\/120). Suppose 24*u - t = 8*u. What is the highest common divisor of 320 and u?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1582, 3161, 4740, 6319, 7898, 9477?\nAnswer: 11056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 265 is divided by 121?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, -26, 9, 47, 5, 4 in ascending order.\nAnswer: -26, -3, -2, 4, 5, 9, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12473 - -12473.01878. What is c rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18254 and 40.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t = -11*t - 14. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/(-26))\/((-143)\/(-1859)))\/(3*287\/(-63))?\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100101101010001000 - 1100101?\nAnswer: -100101101011101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39)\/((-6*58\/1624)\/(2\/7)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-6)*1*3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**3 - o - 4*o**3 + 0*o**3 + 3*o**2)*(-5 + 3 - 2).\nAnswer: 4*o**3 - 12*o**2 + 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + 116*a + 766. Let z be h(-7). Let s(o) = -28*o + 19. Determine s(z).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6, r: 2, p: 1, k: 3, b: 1}. What is prob of sequence krkr?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqtq when four letters picked without replacement from {t: 3, q: 4}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 25074443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 + (-62 - 95) + 91.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o - 5*u = -16*o - 9, u = -2*o + 13. Sort -33, 0, o.\nAnswer: -33, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 - 6*g + 7. Let k be n(-7). Let 0 + k - 7*a**3 + 6*a**3 + 4*a = 0. Calculate a.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -17*f - 356. What is n(-37)?\nAnswer: 273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 73364577 and 16965?\nAnswer: 1131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 8*m + 9. Let v be y(8). What is v rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-18))\/(44\/99*(-75)\/30)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - t - 13497 + 41281, 2*t = -2*g + 11112. Suppose -g = -29*q + 330. Is q a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**5 + 1406*a**4 + 9942*a**3 - 1286*a**2 - 95020*a - 85200 = 0. What is a?\nAnswer: -5, -4, -1, 3, 710","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -27, 475?\nAnswer: 475","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -2*c + g - 43, -4*c + g = 95. Let z be (-8)\/6*9\/c*4. Suppose z - 2 = 5*o. Solve 3*u = -5*v + 9, o = -5*v + 4 + 11 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.84 and -3.\nAnswer: 5.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*z**2 - z**2 - 4 + 4.\nAnswer: -41*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 3 - 3)*(-2*f + 3*f - 3*f)*(0 + 2*f**2 + 0 - 3*f**2 + 3*f**2 - 2*f**2 + (0*f - 3*f + 2*f)*(-5*f + f + 3*f) + 0 + 0 + 2*f**2).\nAnswer: 12*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19\/3 + 7. What is the nearest to -1 in -0.03, a, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8\/11 - -35\/33. Let x(k) = 4*k**2 - k - 4 + 0*k**2 + 0*k + k**3. Let r be x(-4). Which is greater: r or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 12) to base 8.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*(c*c*c**(-1)*c)\/c)\/c)**28\/(c**5\/(c\/(c**2*c))))**(2\/33) assuming c is positive.\nAnswer: c**(14\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 268 by -11.\nAnswer: -268\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*i - 4*v = -82*i - 4, -i = 4*v + 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 8 = -3. Let y be (-4)\/(-14) + 24\/14. Find the third derivative of -1 + y*i**2 + i**m + 0 + 1 wrt i.\nAnswer: 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(3\/13)*j*j)\/j*j)\/(j*j**6\/j))\/(j\/((j*j\/(j\/j**(-3)*j))\/j)*j)**(-29) assuming j is positive.\nAnswer: j**(2213\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 15248259 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**2 + 6*m - 2. Let n(g) = -6*g**3 + g**2. Let t be n(1). Is 9 a factor of u(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -3*v**5 - 2387*v**4 - 431107*v**3 + 17803635*v**2 + 13201150*v - 48223000 = 0.\nAnswer: -415, -2, 4\/3, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -21.23 (b) -3060 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 83 - 83. Suppose 238 - 262 = -6*p. Solve 5*z - p = -q - l*q, 0 = 2*z for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -8, -3, 10, 31?\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -81556614 - -1\nAnswer: -81556613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g - 2. Let l(n) = n + 3. Let k(y) = -4*l(y) - 5*o(y). Let u be k(4). Solve -u*i - 10 = 3*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -5*a + 5, 37*a - 35*a = 5*w + 2 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u + 2*u**2 + 1 - 2 - 3 + 1 - 11*u**3 + 13*u**3. Determine k(2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -8\/31 (c) 2\/15 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.167 rounded to 1 decimal place?\nAnswer: -12.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8\/13, -11, 3?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**5 + 149328*t**4 + 298677*t**3 - 447990*t**2 - 597348*t + 597336 = 0. What is t?\nAnswer: -2, 1, 49778","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -455 + 460. Which is the third biggest value? (a) -4.8 (b) m (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 619419250?\nAnswer: 2, 5, 79, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (154*m - 154*m + 63*m**3)*(2 + 4 - 5) as a + y*m**2 + z*m + u*m**3 and give u.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 15*d**2 - 110*d + 35 = 0.\nAnswer: 1\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -52.\nAnswer: -20.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 80 = -j. Let x be (j\/(-6))\/((-4)\/6). Solve 1\/4*o**2 + 1\/4*o**3 - 1\/4*o**4 + 0*o - 1\/4*o**x + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o**3 - 10*o**3 - 6*o**3 + 18*o**3 - 5*o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/2 + -2 + 3. Suppose -6 = -3*f - 3*h, 2*f + h + 2 = 2*h. Suppose -3*g + 0*g + 12 = f. Solve 3 = g*a + w for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -2*a + 112, 5*k - 106 - 140 = -4*a. Does 15 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14162?\nAnswer: 2, 73, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 5 - 5 + 5*c. Let x(d) be the third derivative of d**5\/30 - 10*d**2. Calculate x(l(r)).\nAnswer: 50*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 9*f**2 - 6*f - 10. Let m be y(8). Suppose -m*a + 24 + 6 = 0. Suppose a*g - 1578 + 468 = 0. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12484 divided by -6242.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5*g + 0*g - 136 = 0, -3*y + 183 = 3*g. Let k be (-2058)\/y - (0 + -2). Is 0.1 greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.83 - -3.33. Which is the closest to 2\/5? (a) 1 (b) -2\/3 (c) 0.26 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 8*4\/8. Suppose 0 = -m*a + 4*a - 6. Suppose a = 4*d - 2*d. Solve -d*t - 15 = -0*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3153.4 + -3153. Which is the third biggest value? (a) l (b) -4 (c) 2.53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -3 + 28 - 4 - 6 - (69 - 6).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.756 at least 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/100 and 67\/2213080.\nAnswer: 11065400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 41899732 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of -m**5\/20 - m**4\/6 + m**3 + 3*m**2 - 3*m. What are the prime factors of z(-4)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -105157170 divided by 10\nAnswer: -10515717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a factor of 104806279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 0 - (2 + 1 - (-12 - -14))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/2433 + 44599\/14598. Let n = -533\/4 + 683\/4. Find the common denominator of o and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 8 = j - 2, 0 = 4*j - 4. Put 16, -1, 2, f in increasing order.\nAnswer: f, -1, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**2 - 1239*a + 12. Let g(t) = -2*t**2 + 1242*t - 14. Calculate -5*f(l) - 4*g(l).\nAnswer: -2*l**2 + 1227*l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of 2*l**7\/735 - l**6\/105 - 16*l**5\/105 + 16*l**4\/21 + 122*l**2. Factor m(t).\nAnswer: 4*t*(t - 4)*(t - 2)*(t + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 420*m**3 + 245*m**3 + 200*m**3.\nAnswer: 865*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 148633, 297262, 445891, 594520, 743149, 891778?\n\"Answer: 148629*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/(-5))\/(10\/30*-1). Which is the nearest to 0? (a) 1\/6 (b) m (c) -5\/4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1828.83 - 1837. Let c = 0.17 + g. Let l = -158 + 1110\/7. Sort l, -2\/13, c.\nAnswer: c, -2\/13, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -914 less than or equal to -913?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4367, -4354, -4319, -4250, -4135?\n\"Answer: 2*b**3 - b**2 + 2*b - 4370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*a + 22. Suppose 5*b - 7*p = -2*p - 115, -20 = b - a*p. Find the common denominator of (-54)\/(-96)*(-100)\/b and -133\/48.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 4 - 3 - 23)*(4*h**2 + 2*h**4 - 4*h**2).\nAnswer: -76*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13749 - 13721. Solve p = 8*p + n for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + -1)*-8*-4. Let t = -40\/33 + 1249\/132. What is the common denominator of 54\/44*j\/12 and t?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6965319*j**3 - 24680417*j wrt j?\nAnswer: 41791914*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32\/49 < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of d**4\/24 - 7*d**3\/6 + 6*d**2. Let x be ((-10)\/4)\/((-3)\/6). Give g(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-28))\/((-2)\/(-12)*-3)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -4, -59, -3, -4.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -118 - -118. Suppose 2*p = 28 - 10. Suppose 2*g - 7 - p = s. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-8)*d*d**(7\/2))\/((((d\/((d*d\/((d\/d**(-2\/27))\/d))\/d))\/d)\/d*d*d)\/d**(-9\/2)))**(1\/7) assuming d is positive.\nAnswer: d**(-191\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 22, -16, -80, -170, -286, -428, -596?\n\"Answer: -13*o**2 + o + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 2*h + 1242, -11*b + 9*b - 5*h + 2487 = 0. What is the remainder when b is divided by 40?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide (-1)\/(-2)*-2*(17 + -329)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3344320.\nAnswer: 2, 5, 7, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n**2 + 20*n - 20 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-18)*84\/(-70).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 178 = 4*c + r, 5*c + 3*r + 209 = 0. Let k be 2*6\/(-332)*1. Let a = 1731\/332 - k. Calculate the common denominator of c and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence war when three letters picked without replacement from {a: 1, r: 1, w: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1131653 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 28466?\nAnswer: 85398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + (sqrt(19) + sqrt(19) + (sqrt(76))**2 + sqrt(19))*-2).\nAnswer: 12*sqrt(19) + 306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 684 and 4180.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -g**5\/5 + 6*g**4\/5 + 41*g**3\/5 - 6*g**2\/5 - 8*g = 0.\nAnswer: -4, -1, 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - -1*sqrt(5)*-1) + sqrt(245)*-2 + sqrt(245) - (4 + sqrt(125) + 0))**2.\nAnswer: 96*sqrt(5) + 736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*q = 8, 0*q = -g - 4*q + 1. Suppose -g*k = -6*k + 2. Suppose 5*y = 3*i + 13, -6*y + 3*y = 2*i - 23. Solve 3*t = t + k*b, -3*b - 5 = -i*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -65 + 123. Let n(r) = 2*r**3 + 29*r**2 - 13*r + 32. Calculate the least common multiple of j and n(-15).\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 + 9. Let q(g) = -g**3 - 8*g**2 - 6*g + 1. Let u be q(h). What are the prime factors of (-2)\/(-7) + (-305)\/u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 842.239 - -1.761. Let d = 847 - y. Let b = -11 - -32\/3. What is the closest to b in d, 2, -16?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 12) in base 14?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1348\/53683 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8290, -8290, -8288, -8284, -8278, -8270?\nAnswer: -8260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + r = -2*r - 21, -4*z + 2*r = -38. Suppose z*f = 2*f + 28. Solve -f*b = -b + 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b - 4. Let j be i(-7). Suppose -6 = 3*c - j*q - 3, 4*q = 5*c. Suppose c + 98 = 2*n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-18)\/36)\/((-2)\/808). Suppose 214 = 4*c - m. What is the least common multiple of (-2)\/12 + c\/48 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - k**2 - k + 1. Let x(y) be the second derivative of y**5\/20 + y**3\/2 - 3*y**2\/2 - 3*y + 1. Suppose 146*t + 4 = -142. Give t*x(z) - 3*q(z).\nAnswer: 2*z**3 + 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -1 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**2. Let d(g) = 122*g. Determine a(d(x)).\nAnswer: 29768*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30157 is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*y + 2*y + 20. Suppose -3*i = 5 + 13. Let f = i + 10. Solve -5*j + 3*t = -1 + f, 16 = -y*t for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-2 + -8 + 7)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 42\/5 of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -6 (c) -85\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2432393930 to the nearest one hundred thousand.\nAnswer: -2432400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 53*s + 7. Let l be x(0). What is the highest common factor of l and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3363 (base 10) to base 2\nAnswer: 110100100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-52 - -2)*(9\/(-6))\/3. Solve 16 = -m*n + 41 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/2573 and -43\/3844.\nAnswer: 319052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3072313 + 3072550.0297. Let m = 81 - -156. Let k = d - m. What is k rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - f + 1. Let z be q(1). Let w be (z*3)\/(9\/6). What is the remainder when 34 is divided by 1*16 - w - 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 383 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -63*t**2 - 20*t - 15. What is the tens digit of x(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.21172 millilitres in litres?\nAnswer: 0.09721172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -24, -266, -950, -2298, -4532, -7874, -12546?\n\"Answer: -37*g**3 + g**2 + 14*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-5*(sqrt(85) - -1*sqrt(85)) - -6*sqrt(85)*1)\/(6*(-1*sqrt(500) + sqrt(500) - sqrt(500)) + sqrt(500)))**2 + 3.\nAnswer: 307\/125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 77682671\/3493520 - -56\/43669. Let g = -35918 - -574943\/16. Let s = g - y. Find the common denominator of 41\/11 and s.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3590 - 3591. Let p(b) be the first derivative of -73*b**4\/4 - b**3\/3 + b**2\/2 + b - 2. Is 9 a factor of p(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**10*c*c**12*(c\/(c\/((c*c\/(c\/(c\/(c**12\/c)))*c*c*c)\/c))*c*c)\/(c*c**18))**(-18) assuming c is positive.\nAnswer: c**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2682 and 180.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in 2\/5, 9, 15, -1\/8, 4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -93, -175, -257, -339, -421?\nAnswer: -503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -959\/508, 4.6, 0.3, -1 in increasing order.\nAnswer: -959\/508, -1, 0.3, 4.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-174)\/261)\/((-2)\/27). Solve -4*g + 8 = 0, 3*z + 5*g - p = -2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p - 3. Let r(s) be the first derivative of -s**2\/2 - 4*s - 5. What is 5*r(m) - 6*v(m)?\nAnswer: m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20.523193*-0.4.\nAnswer: 8.2092772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1020 (base 5) to base 3.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 25\/2 of a gram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 823.8194 litres in millilitres?\nAnswer: 823819.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - f?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n + 4*n**3 + 203 - 13*n**3 - 203 - 14*n**3.\nAnswer: -23*n**3 + n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.3, 1\/8, -556\/11, 1\/6, 2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011 + -10111?\nAnswer: -100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 4326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -138*b + 607. What is the remainder when 342 is divided by t(4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 29 (c) 2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 215 divide 41925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/10 - 26788\/3620.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -86*d - 29*d**3 + 5*d + 17*d**3 - 27*d**3 wrt d.\nAnswer: -234*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1457, -1447, -1409, -1331, -1201, -1007, -737, -379?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 365288 to the power of 1\/3, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*n = -39*n + 232. What are the prime factors of n?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -142 or -143?\nAnswer: -143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5*2\/160 + 1 + -5 and -50.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g - 1. Let m(f) = 23*f - 12. Let t(k) = 300*k - 155. Let x be (-3 - -2) + 2 - (-16)\/8. Let l(w) = x*t(w) - 40*m(w). What is 15*j(o) + l(o)?\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(320) + -2*sqrt(320))**2.\nAnswer: 16*sqrt(5) + 321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + -5. Let g = 13 + z. Solve 7*o - 2*o + 20 = t, -o + 20 = -g*t for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 174 - 105. Let y = 169 + -176. Let z(h) = h**3 + 7*h**2 + 14. Calculate the remainder when w is divided by z(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 322*o + 18017. Calculate m(-56).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u - 8. Let g be y(4). Let h(k) = k**3 + 11*k**2 - 13*k - 1. Let o be h(-12). Let r(m) = 2*m + 26 - 13 - o. Give r(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.051 - 3.051. Let d = 0.49 + -1.49. Which is the closest to d? (a) -1\/19 (b) n (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1335358 to the power of 1\/2, to the nearest integer?\nAnswer: 1156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -105124?\nAnswer: -105122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*s*t**2*u**2 + s*t**2*u + 2*s*t*u + 2*t + 5*u**2 + 4*u wrt t?\nAnswer: 12*s*u**2 + 2*s*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69800 is divided by 1993.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.1 - -3. Let b = 19\/3 - 59\/9. Let n = -0.451 - -0.051. What is the nearest to o in 0.5, n, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/10*((-153)\/34 + 12) - 645\/110?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of -4*i - 1\/3*i**4 + 0 - 1\/720*i**6 - 1\/120*i**5 + 0*i**2 + 0*i**3. Let u(f) be the third derivative of x(f). What is u(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 6. Let z(j) = -6 + 0*j - 3 + 4*j - 2*j. Let n be z(6). Sort 1, n, o.\nAnswer: 1, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 5*b + 3. Let m be w(4). Suppose -2*x = -4*k + x + 13, 0 = -4*k + x + m. Let s(a) = 19*a**2 - 13*a - 1. Is s(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 196*n - 94*n - 100*n + 12. What is p(-12)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 9:13 AM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -d + 311, i - 3*d - 159 = -0*i. Calculate the highest common divisor of i and 72.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3035 + 1514 + 747*w**2 + 1519 + (-w**2 - 3*w**2 + 2*w**2)*(2 - 2 - 1).\nAnswer: 749*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -24 times -980\nAnswer: 23520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 8*q**3 - 3*q + 7. Let u be d(3). Suppose 1010 - u = 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: Solve 3592*k + 13*k = 7210 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/19 - 8048*w**2\/19 - 1534698*w\/19 - 74997252\/19.\nAnswer: -2*(w + 99)**2*(w + 3826)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**3 + 13*j**2 - 4*j - 10. Let b be d(6). Suppose -b*q + 10*q - 408 = 0. Are 50 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -230\/597 < 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10128263\/23251272 - 1\/176146. Find the common denominator of -23\/154 and r.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 3*n + 30. Does 6 divide (n\/10)\/((-2)\/(-16))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -982641*o**3 - 2*o**2 - 3002835?\nAnswer: -2947923*o**2 - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2422 = -t - 4*n, 0 = 20*n - 19*n + 3. Calculate the remainder when t is divided by 84.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -2, 1 in descending order.\nAnswer: 1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 489745?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 25 = 0, 5*d + 20 = -4*t - 0. Let w be (-28)\/(2 - d) - -2. Let r = -7 - w. Solve -g = -4*v + r, 2*g + 0 + 7 = 5*v for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3, -3, -17, -45, -93, -167, -273?\n\"Answer: -o**3 + 2*o**2 - 5*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71, 76, 85, 98?\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 46. Which is bigger: d or -345\/8?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*z + 86*z - 4*k = 180*z + 32, -60 = 3*z + 3*k for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -14*r**3 - 3*r**2 - 3*r + 5. Let b(l) = -15*l**3 - 3*l**2 - 4*l + 6. Determine -5*b(q) + 6*u(q).\nAnswer: -9*q**3 - 3*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11*f**2*i**2 - f**2*i - 156*f**2 - 6*f*i**4 wrt i?\nAnswer: -22*f**2*i - f**2 - 24*f*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -8*u - 7. Let k(m) = 7*m + 6. Let d(y) = -7*k(y) - 6*z(y). Suppose 34 = -9*g + 43. What is d(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 11*s**3 - 13*s**2 - 8*s - 19. Let t(c) = -5*c**3 + 6*c**2 + 4*c + 9. Let i(b) = 9*t(b) + 4*x(b). Determine i(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38*d**4 + 82297*d**2*i - 17*d*i - 577*d + 2*i + 17 wrt d.\nAnswer: 456*d**2 + 164594*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 821 + 122 = y - 4*q, 4*y = 3*q + 3707. Let r = -923 + y. Is r < 20\/43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, i: 1, u: 1, z: 3, e: 1}. Give prob of picking 2 z and 1 c.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 772 is divided by 255?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -f**4\/2 + f**3 - 2*f**2 - 4*f - 4. Let a be d(-3). Let n = a + -57. What is the remainder when n is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -10*a - 114. Let u be h(-12). Solve -u*r + 15 = -15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 2*j + 2, 5*f - 22 = -j + 4*j. Suppose -4*x - 263 = -f*k + x, 3*x = 3. Suppose 3*s - 4*n - n = k, -n + 5 = 0. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -634934 + 634934 - 30*m.\nAnswer: -30*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -755*f**3 + f**2 + 47*f - 9.\nAnswer: -4530*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (612\/(-21))\/4 + 10\/35. Let v(i) = 260*i**2 - 122*i**2 - 137*i**2. Let w be (-2)\/(-2)*(-1 + 5). Let l(s) = s**2. Determine t*l(q) + w*v(q).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -260 + 98. Suppose 2*i + 468 = -4*b, 2*i + 0*b = b - 493. Let p = v - i. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33301032 (base 4) to base 3.\nAnswer: -10021121020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14561 is divided by 909?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w + 2. Let h(y) = -2*y**3 - 23*y**2 + 2*y. Give -h(v) + m(v).\nAnswer: 2*v**3 + 23*v**2 - v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 59, -0.7, 14?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27\/8 + 165\/56. Are 0.3 and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 384784451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 - 83)*252\/(-24).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 63 or 2?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1820825*m**4*p + 8*p + 9308 with respect to m.\nAnswer: -7283300*m**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2, -8, -30, -74, -146, -252, -398, -590?\n\"Answer: -b**3 - 2*b**2 + 7*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 5) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1937.65 to the nearest 100.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 152933.71 to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.26605 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 4*o - 375, -5*p = 22 - 7. What is the remainder when o is divided by (-4 - (0 - 34))*(-44)\/(-55)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2851 - -2846. What is the nearest to -296 in -1, b, 2\/13?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.17 + -0.33. Which is the second biggest value? (a) 0.1 (b) z (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0237 + -161811294?\nAnswer: -161811293.9763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of a**7\/350 + 3*a**6\/100 + 2*a**5\/25 - a**2 + 6*a. Find v, given that z(v) = 0.\nAnswer: -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 - 55\/2. Let g = -1 - -1.5. Let x = -2 - -1.6. Which is the closest to d? (a) g (b) x (c) 9\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/392 and 81\/18620.\nAnswer: 37240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of -3*l**2 + l + 9\/20*l**5 - 3\/2*l**3 + 1\/10*l**6 - 4 + 1\/4*l**4. Factor w(d).\nAnswer: 3*(d - 1)*(d + 1)**2*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3780*o**3 - 16*o**2 - 3750*o**3 + 15*o**2.\nAnswer: 30*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1314\/15 - (84\/(-35))\/6. Suppose -q = -17*l + 14. Calculate the greatest common divisor of l and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, p: 13, z: 2}. Give prob of sequence pu.\nAnswer: 13\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7531?\nAnswer: 17, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26*-5*(-2)\/20?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101100100011110 (base 2) to base 14\nAnswer: 8458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2447, -9768, -21969, -39050, -61011, -87852?\nAnswer: -119573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.956 times -502?\nAnswer: 981.912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -1231340403?\nAnswer: -1231340404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-30)*(-72)\/(-48)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/21 + 64*d\/21 - 512\/21.\nAnswer: -2*(d - 16)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-287)*9*42\/108\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -27211, -54419, -81627?\n\"Answer: -27208*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 124697\/8 and 15587 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7805322677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -648 - -661. Let u be ((-26)\/8)\/(2\/8). Let c = 0 - u. Calculate the highest common factor of c and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -393*g*p**3*v**2 - 4*g*p**2*v - 25*g*p*v + 2*p**3*v**2 + v**2 wrt p.\nAnswer: -2358*g*v**2 + 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -4, 50699, -2.\nAnswer: -4, -2, 12, 50699","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*((-158)\/7 + 494\/(702\/27))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 u when three letters picked without replacement from {e: 4, s: 2, u: 5, v: 2}?\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 2. Suppose -o*y + 2*y + 240 = 0. Suppose -a + 6*a = y. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of g**4\/3 - g**3\/2 + g**2 - 8*g. What is the units digit of b(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(3\/2)\/((s\/(s**23*s))\/s*s))\/(s\/(s**(-12)\/s))**(-2\/27) assuming s is positive.\nAnswer: s**(1379\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 5\/2, -0.153, -21, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/(-3)*(-10)\/6. Suppose -h + 6*d - 2*d = -15, k*h - 5*d = 30. Solve -4*q - 4 = h*n + 4, -q = -4*n - 17 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-162 + 158)*(1 + 6)\/(2\/(-2)). Calculate the highest common divisor of w and 406.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16018\/99 - 3550\/33. Let r = 54 - w. Let n be (1\/2)\/(2\/(-16)). Which is the biggest value? (a) r (b) 11 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-544)\/102 - 14\/(-6). Suppose 4*s + 3 = s. Let t(a) = -1. Let p(g) = -1. Let i(b) = p(b) - 2*t(b). Let x(w) = -w - 4. Determine j*i(z) + s*x(z).\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184332947.\nAnswer: 179, 241, 4273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from hhhylhllyhyhh?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1.195457*-55\nAnswer: 65.750135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**2 + 12*l - 5. Determine f(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1951283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2225213625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 4 + 12. Let d(a) = 25*a. Let x be d(r). Suppose -2*i + x = -8. Does 12 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 - x + x)*(-1 + 1 - x**2 + (-1 + 1 + 2*x)*(0*x + 3*x - x) + (x**2 - x**2 + 2*x**2)*(1 + 0 + 1)).\nAnswer: -7*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 - 203?\nAnswer: -1eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 10 = -2*a, 0*a - 9 = 3*a + 3*h. Let w(p) = 6*p**2 + p + 2. Let f be w(a). Solve -5*q - 5*c + 15 = 0, -f = 4*c + 1 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*b*s**2*v**3 - 33*b*s*v**3 - 3*b*s*v + s**2*v**3 + 248*s**2*v - 8*s wrt s.\nAnswer: -12*b*v**3 + 2*v**3 + 496*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of t**4\/4 + t**3 + 2*t + 2. Let r be m(-3). Suppose r*z - 3*z = -11. What are the prime factors of z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of n**2\/2 + 5*n + 64. Determine c(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of -s**6\/20 + 7*s**3\/3 - 9*s**2. Differentiate m(b) with respect to b.\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*p**3 + 2*p**2 + 161506*p - 1889628.\nAnswer: -9*p**2 + 4*p + 161506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 199 times -0.5\nAnswer: -99.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from nrhhwrhgnrv?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 7:52 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n - 4*y - 16, -7*y - 43 + 15 = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-120)*-5*(-65)\/(-10).\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 45*q + 246. Give h(-50).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -54911.656 - -54486. Let f = 0.344 - h. Let n = -425.99803 + f. Round n to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 1685644335?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -318*c**5 - 5*c**4*d**2 + c**3 - 9*c**2*d**2 - c*d**2 + 4*d**2 - 5 wrt c.\nAnswer: -19080*c**2 - 120*c*d**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 30*v - 115. Let c be f(14). Let y be (-4)\/14 - (-429)\/7. What is the highest common divisor of y and c?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211.4 rounded to the nearest ten?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 3*b - 4*b)*(-b + 0*b + 3*b)*(6 - 6 - 34*b**2).\nAnswer: 544*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2343, -2335, -2313, -2271, -2203, -2103, -1965, -1783?\nAnswer: -1551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3086 is divided by 3026.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/25)*(o**(-2\/9)\/o*o*o)\/o)**(-10\/3) assuming o is positive.\nAnswer: o**(82\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 7:27 PM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -2*p + 4 + 60, -4*p - p - 2*p + 1332*f + 19986 = -4*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12480333.\nAnswer: 3, 47, 88513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 66640233 + 2.4547\nAnswer: 66640235.4547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67, -9933, 14.\nAnswer: -9933, -67, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 28 = 4*p, -2*h - 45 = 3*h - 5*p for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -473 divided by 43?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - p**2 + p**2 + 0*p + 0*p - 1 - p. Let j(r) = -3*r**3 - 6*r**2 - 6*r - 6. Calculate 6*a(l) - j(l).\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 4*j + 2. Let s(z) be the first derivative of -4*z + 2\/3*z**3 + 11 - 9\/2*z**2. Give 7*o(d) + 3*s(d).\nAnswer: -d**2 + d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/1422522 and -101\/12170466.\nAnswer: 109534194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*(267\/(-20))\/(-1). Let d = 826972\/15 - 55151. Let j = g - d. Find the common denominator of j and 91\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**3\/6 + 13600117*y**2\/6 + 15413587201037*y\/2 - 77068049339535\/2 = 0.\nAnswer: -6800061, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**3 - 791908*l**2 - 19007520*l - 114048576.\nAnswer: 4*(l - 198001)*(l + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-4 + sqrt(24)\/(sqrt(12)*3))**2 + (sqrt(22)\/(3*sqrt(11)) + sqrt(2) - (2*sqrt(10) + sqrt(10))\/sqrt(5)).\nAnswer: -13*sqrt(2)\/3 + 182\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 34.5 - -155.5. Let l = -190.0235 + i. Round l to 3 dps.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/20, -857, -4 in descending order.\nAnswer: -1\/20, -4, -857","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10182*y - 84 = -10194*y. Solve 5*s = 2*m - 30, 3*m - s = -y + 26 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 5604*i + 7. Let v(t) = -263384*t - 328. Give 328*a(p) + 7*v(p).\nAnswer: -5576*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104483218.\nAnswer: 2, 7, 59, 126493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9186 and 138?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 5c5c?\nAnswer: 5c58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(-16\/3)*y\/y**2 assuming y is positive.\nAnswer: y**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - -2. Solve -h*k = -3 - 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3879033 is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -11 - 9. Solve -s*h + 10 + 0 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 105\/(-12) - 1\/4. Let r = l + 23. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14799.\nAnswer: 3, 4933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + -3 + 26 + -6. Let j be -2 + (336 - (1 - 1)). Suppose 3*m = 2*w + m - j, 5*w - 3*m - 831 = 0. Calculate the greatest common divisor of d and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**2 + c + c**3 + 1 + 0*c**2 + 2*c. Let m = 1 - 1. Suppose m*a + 10 = -5*a. Determine l(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**(-2\/7)*d*d\/d**4*(d**1)**10)**(-13))**(-7\/12) assuming d is positive.\nAnswer: d**(221\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 2*y - 1. Let u be o(2). Suppose -u*p = -2*p - 390. List the prime factors of p.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from clcl. What is prob of sequence cl?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 391 (base 10) to base 5.\nAnswer: 3031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 7*w - 9. Let u(r) be the first derivative of r**3\/3 - 2*r**2 + 4*r - 1282. Give -4*c(t) - 7*u(t).\nAnswer: -3*t**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - 5 - (-330)\/33. Solve -4 - q = 5*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 2*v + 2*v)*((-3*v + 2*v + 3*v)*(-2*v + 2*v**2 + 2*v) + (9 - 9 - 3*v**3)*(-30 + 18 - 56)).\nAnswer: 1040*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-9\/4)*u\/(u**(-5)*u))**40\/(u\/(u*u*u\/(u**(-5)\/u)*u)*(u\/(u*u**(-6)))\/u)**(-32\/7) assuming u is positive.\nAnswer: u**(2182\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -224410, -224421, -224428, -224431?\nAnswer: -224430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of n**6\/20 - 3*n**4\/4 + 2*n**3 - n**2. Let g(l) = -l**3 + l**2 + l - 1. Let m(f) = -3*g(f) - i(f). Solve m(r) = 0 for r.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 669*o - 60*o + 68771 - 17615 for o.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 110 = 4*y, -11210*y + 11208*y = 4*v - 0*v - 70 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2210 divided by 1257\nAnswer: 2210\/1257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*i**3 + 10*i**3 - 24*i**3.\nAnswer: -24*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 386 and 454?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4093940759 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 10\/(25\/5) - -457?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 228.490866517 - 14.648176577. Let i = 0.15992006 + p. Let z = i + -214. What is z rounded to 4 decimal places?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + 17*j - 49. Determine h(15).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/4)\/(23\/((-2392)\/(-273)))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4*d = 18, -5*d = -3 - 12. Let s = x + -4. What is the common denominator of -27\/2 and s\/(-32)*114\/30?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11\/4 - -4. Let d be (-120)\/812 + -4 - -4. Let k = 4\/29 - d. What is the second smallest value in k, v, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 6:51 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 4.8. Suppose 0 = 6*j + 4*j + 20. What is the closest to -9 in b, -2\/7, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-26)*m)**27 assuming m is positive.\nAnswer: m**(-675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 6*m - 9. Let c be f(15). Let i(s) = 2*s - 19 - 30 - 6 + c. What are the prime factors of i(11)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m + 16 = -3*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 113249598*d**4 + 36748*d**2 - 97*d wrt d.\nAnswer: 2717990352*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 130205 (base 6) to base 13\nAnswer: 5462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of -2*z**6\/5 + z**4\/4 + 67*z**2\/2 + 5*z - 23. What is the first derivative of q(y) wrt y?\nAnswer: -48*y**3 + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 5*o - 4*x, -3*o - 7*x = -4*x - 45. Let j be 3\/(-12) + 85\/o. Let y be 1\/j + 56\/32. Solve -8*h = -3*h + f - 17, 5*h = -y*f + 19 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010 + 1001000?\nAnswer: 1010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 3*t = -3, -3*d + 147*t = 145*t - 2. Let f = 3 + -5. Let s = f - -6. Solve 2*q = s*b - 18, q + d*b - 23 = 4*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000008411 rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/sqrt(5) + 3 + sqrt(11))*-4*3.\nAnswer: -24*sqrt(11) - 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.1938211 nanograms?\nAnswer: 0.0000001938211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -183101459 divided by 4.\nAnswer: -183101459\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1110 is divided by 525.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11 and -0.6?\nAnswer: 6.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 + (95 - 42) - -24?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 10:20 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - 45. Let j = -35 - -13. Let x = j - c. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.5 - -4.5. Let p = v + -8. What is the third biggest value in 0.2, p, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2619 - -7548. What are the prime factors of k?\nAnswer: 3, 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 - 2*f**2 + 0*f**2)*(-3 + 0 + 4) + 7*f - 7*f - 4 + 2*f**2 - 8*f**2 + 15*f**2 + f**2 + (2 + 2 - 6)*(-2*f**2 + f - f) + 2*f**2 - 2*f**2 + 2*f**2.\nAnswer: 15*f**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 36\/360 + (-1551)\/10. Let u = 274 + r. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - 109*m + 1245. Determine h(13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a millennium in decades?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 96*k**2 + 1567*k - 600. Calculate i(-75).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7046080757?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 80 - 94. What are the prime factors of ((228\/(-9))\/(-4))\/(t\/(-1050))?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -174e3 (base 16) to base 2.\nAnswer: -10111010011100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 972*k*m**4 + 12*k*m**2 + 2934*m**5 + 1108*m**2 + 50 wrt m?\nAnswer: 23328*k*m + 176040*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21217295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**3 - 202*k**2 + 210*k + 617. Let g be s(-102). Solve 0 = -5*y - 3*w - 10, -g*y + w = -7 - 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 18*t**2 + 12*t + 36. Let u be s(-19). Suppose u*f = 176*f - 28. What is the least common multiple of 32 and f?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 1.7002.\nAnswer: -0.8501","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilogram in grams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qeqs when four letters picked without replacement from {v: 1, m: 3, q: 2, w: 1, s: 3, e: 9}.\nAnswer: 3\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 + 2 - 6*s - s - 1 to the form p*s + z and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 14 = -5*v + v, -v + 5 = 0. List the prime factors of a.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - 2 + 27 - 3 + 1090*w**2 - 14 to the form y + r*w**2 + m*w and give r.\nAnswer: 1090","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/25 + (-5)\/(75\/(-234)). Let t(n) = -2*n + 1. Let i be t(-2). Solve -5*g - s = -i*z - 1, -11 = 2*g - 3*z for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*12*12\/(-48)*3*-3.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -3433549.\nAnswer: -2\/3433549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i - 14. Let q be k(10). Calculate the remainder when (17*1)\/(8\/q) is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22151 + 27599 = 199*w. Calculate the remainder when 1019 is divided by w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 27408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5798 + 3566 + 5071)*(l**3 + 2 - 2)*(-l - l + 0*l + (3*l + 0*l - 5*l)*(-4 + 0 + 2)).\nAnswer: 5678*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) -0.1 (c) -2 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23549 at least as big as 470989\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/7)*x**(-1\/7)\/x)\/(x**4\/x**(1\/4))*(((x*x**1)\/x)**(-18))**(-1\/28) assuming x is positive.\nAnswer: x**(-127\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -3.571709?\nAnswer: -17.858545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.9000128 + 6.9. Round l to six dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53730 divided by -9\nAnswer: -5970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 881643?\nAnswer: 3, 7, 41983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 - 31. What is the second derivative of -l*n**5 - 4*n**5 - 2*n**5 + 14*n wrt n?\nAnswer: -200*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 10. Suppose -12 = 3*j - 2*b + 5*b, 4*j = -5*b - 20. Calculate i(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 216\/(-352)*4*-33?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3527 = -45*h + 1288. What is the remainder when h is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -8*i + 86. Solve p - i = -9 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - c + 7 + 16 = 0, o = c - 8 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195 = 2*b - 2*f + 183, -3*f = 4*b - 38 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -215*y + 1390. Calculate p(6).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 431 - 432. Let b(q) = -13*q**3 - q - 2. Let j be b(t). Solve -5*r + r = -j for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 87*c**5*r**2 + 2*c**3 - 39*c**2 - 493*c - 34*r**2 wrt c.\nAnswer: 1740*c**3*r**2 + 12*c - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.2, 1\/10, 1\/6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6 - (-95)\/(-15))\/(1\/(-15)). Let j be (0 - -3)\/(1\/m). Calculate the greatest common factor of j and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298004 is divided by 74254?\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b*(b\/b**(-6\/7))\/b*b)\/b)\/b*b**(-12\/5))\/(b**(-1))**47)**(-9) assuming b is positive.\nAnswer: b**(-14634\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -15*p**5 + 18*p**4 + 16*p**3 - 18*p**2 - p - 4. Let l(s) = -s**3 + s + 1. Let v(t) = -4*l(t) - y(t). Solve v(d) = 0.\nAnswer: -1, 0, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1023 is divided by 57.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**1*(s**10*s)\/s*(s*s*s*(s\/s**(1\/9))\/s*s*s)**(2\/55) assuming s is positive.\nAnswer: s**(548\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/(-3))\/((-1)\/26). Is (4\/(-6))\/(n\/(-21957)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 5:29 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.4 + -3.4. Let o = -231 + 152. Let t = 80 + o. What is the third smallest value in t, u, 1\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 1 - 3 + 5 + 17 - 4 + (3 - 4 - 2)*(-1 + 3 - 3))*((1 - 1 + 1)*(2*l - 3*l - l) - 3*l + 0*l - 3*l - 4*l + 7*l - 5*l) to the form u + i*l and give i.\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ge when two letters picked without replacement from gmgmemmmghcmmegc?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(98) + -2 + sqrt(98))*-4 - sqrt(98))*5)**2 + 1.\nAnswer: -25200*sqrt(2) + 200051","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -5, 610, 0 in descending order.\nAnswer: 610, 3, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 8:53 AM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0196568342 to 5 dps.\nAnswer: 0.01966","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gzzgpzg. Give prob of sequence gzz.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -204 + 215. Let d(v) = v**3 - 6*v**2 + 3*v - 7. Let z be d(6). What is the highest common factor of m and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -5*y + 8, -3*z + y - 8 = -5*z. Let x be 3 + (0\/2)\/(-3). Suppose 0 = z*i - 5 - x. Solve i*a + 5 = -3*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 4*k = 30 - 33, 0 = -2*n - k for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 1:49 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 66*y + 524. Give x(-5).\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x + x = 7 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32674 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-2*2)\/(((-1092)\/56)\/39)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by 134.\nAnswer: -13\/134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16941 by -5647.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3313\/9 at most as big as 369?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*q - 32. List the prime factors of 12\/(-7)*42\/q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -2 + (-9 - 1 - (-6 + 1)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 16b439 - 4?\nAnswer: 16b435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 124*u**2 + 137*u - 144*u + 15*u**2. What is the hundreds digit of v(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 461551485 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 1014*d**2 + 41*d + 239. What are the prime factors of i(-8)?\nAnswer: 229, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -0*g + 35. Calculate the lowest common multiple of g and ((-20)\/(-3) - 6)\/(2\/6).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3\/5 of a millennium?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = a - 26. Let l be (-4 + 36\/8)*8. Suppose 0*h - l*h - 103 = -5*t, h = -5*t + 93. Calculate the highest common divisor of a and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*i - 350 = 0, -2*i = 3*p - 4*p + 83. Suppose -r - 4*y = -6, 0 = -8*r + 4*r - 3*y + p. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eh when two letters picked without replacement from {h: 1, e: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 10537 and 0.06?\nAnswer: 10536.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3142.51047 rounded to one decimal place?\nAnswer: -3142.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -390 + j + 390. Let i(z) be the third derivative of -z**4\/12 + 8*z**2. What is q(i(k))?\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -5\/9 (b) 2\/11 (c) -4\/5 (d) -14\/333 (e) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1280*r**2 + 5534*r**2 - r**3 + 22*r + 2604*r**2 + 709*r**2 - r**3 + 60 wrt r?\nAnswer: -12*r + 15134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -22*a**3 + 6*a**2 - 7088*a - 12. Let x(r) = -4*r**3 + r**2 + r - 2. Give l(y) - 6*x(y).\nAnswer: 2*y**3 - 7094*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, x: 5, n: 4}. Give prob of picking 2 i and 2 x.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 9:33 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 116157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**2 - 54*t - 3080 = 0. What is t?\nAnswer: -28, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -375, -373, -369, -363, -355, -345?\nAnswer: -333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 60959182 to the power of 1\/3, to the nearest integer?\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -0.4, 1\/3, -12, -37?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggggggg. Give prob of picking 4 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((2*(0 + sqrt(5) - sqrt(5)))**2 + -2 - (-5*(sqrt(80))**2 + (sqrt(45)*5)**2)).\nAnswer: -723","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 89691?\nAnswer: 2\/89691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119 + 355 = 334*n - 528 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of -81*k**5\/20 - k**4\/4 + 7*k**3\/6 + 226*k**2. Find the second derivative of l(d) wrt d.\nAnswer: -486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -426.9 - -427. Which is the closest to 2? (a) -4 (b) i (c) 1\/3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 0*b + 4*b)*(-7*b**2 + 2*b**2 - 20 + 2*b**2)*(b + 2*b - 2*b).\nAnswer: -3*b**4 - 20*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*g + 11*g - 24*g - 17*g + 142*g.\nAnswer: 80*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 + -1 - ((1 - -21) + -37)) + 0 + -45?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -81 (base 15) to base 5\nAnswer: -441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/4 + (-48)\/80 + 935\/100. Solve 7 = t*d + 16 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2217?\nAnswer: 3, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 8*f = -3*f + 23, -5*w + 3*f = -27. Does 8 divide (-42)\/w*108\/(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1697?\nAnswer: 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = w + 10. Find the common denominator of 83\/4 and w\/(-5) + 6\/(-1320)*238.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -26382 + -2?\nAnswer: -26384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4 - ((-1325)\/100 - (-1)\/4)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 4bdcb?\nAnswer: 4bdcb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5544 (base 6) in base 12?\nAnswer: -8b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 4*v**2 + 113 - 113. Let c(h) be the second derivative of h**3\/6 - 21*h. Calculate c(b(g)).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 8*s**2 - 22*s - 6. Let m be z(-10). Solve -5*c = -2*n + m, -3*n - 5*c - 9 = 20 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 20\/3599 (b) -0.1 (c) -24 (d) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 - 19.3. Let z be (11 - 5)*-20*3\/(-18). Let t be 9\/(-6) - 10\/z. Which is the nearest to t? (a) o (b) -2\/7 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39621805 to the nearest integer?\nAnswer: 6295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 7:19 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0632266339 - -183.\nAnswer: 183.0632266339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 805.\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 3\/11, -1\/6, 11\/7, -0.3?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - p = 5, -5*p - 14 = -2*n - 5. Suppose -3*h - u = -10, u + n = h + 4. Solve 2*w - 5*w = -12, -h*w = -4*k + 12 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 208.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -9*v + 71. Determine q(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003255729 to five dps.\nAnswer: 0.00326","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39488656 is divided by 9872164?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 396*b**2 - 26939*b + 639. Determine n(68).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34945833883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 172 (base 8) to base 3\nAnswer: 11112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/((-350)\/56)*-5?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -59 divided by -1\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 41405, 326541, 1099143, 2602943, 5081673?\n\"Answer: 40622*r**3 + r**2 + 779*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13209.\nAnswer: 3, 7, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1309 and 198.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -g**3\/2 - 3*g**2\/2 - 463*g. Let b(k) = -k - 1. Calculate -3*a(m) + 8*b(m).\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f**2 - f - 3. Let l be h(0). Let a(c) be the second derivative of -c**4\/12 - c**3 - 5*c**2\/2 + 6*c. Let z be a(l). Solve -z*m = -m - 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -x**5\/90 - x**4\/18 + x**3\/3 + 4*x**2 - 2. Determine h so that v(h) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h**3*n - 16*h**3 + 3*h**2*n + 81*h*n - 2*n wrt h.\nAnswer: 12*h*n - 96*h + 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 38 = -212*t + 207*t, 3*u = -2*t - 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2*(3 + ((2*(sqrt(1008) - (sqrt(1008) + -2)))**2 - sqrt(1008)*-2*2)*4 + -3).\nAnswer: 127 + 384*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7069465*w**2 - 14138680*w**2 + 7069219*w**2.\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*o - 20*o + 5*o - o**2 - 2 + 2 - 2*o**2 - 2 + 2*o**2 + 2 + (0*o + o + o)*(-2*o + 0*o + 4*o) + o**2 + 2*o**2 - 2*o**2.\nAnswer: 4*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 1 - (-51 + 50)) + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4658?\nAnswer: 2, 17, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19851 and 156.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -16 + -5 + (-2 - -4). Let x be k\/(-57)*3\/(-4). Which is the closest to -0.1? (a) -1 (b) 0.5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(325)*1 - sqrt(325)))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -62912 times 0.1\nAnswer: -6291.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -5*q + 230, -q = 2*i - 0*i - 51. Let h = q + 37. Is h a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268*w - 10 = 5*v + 264*w, -4*v - w - 29 = 0 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s + 5*r - 14 = 3*s, -s - 4*r = -1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1970)\/(-53781))\/((-18)\/(-378)).\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 15*j + 13. Let a(u) = -3*u - 3*u - 5 - 2*u - 2. What is 11*a(x) + 6*y(x)?\nAnswer: 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/10 - (216\/(-20))\/2. Suppose 0 = w - 3*w - 4*z + 144, -p*w - 5*z = -335. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, -8, -2, 0.93, -0.1, -5?\nAnswer: 0.93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34340643, 68681286, 103021929?\nAnswer: 137362572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 2*b = -i + 15, -2*b + 3*i - 11 = 0. Suppose 360 = b*w + 10*w. List the prime factors of w.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5 + 78297*t**5 + 1 - 78354*t**5 + 14*t wrt t.\nAnswer: -1140*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 3. Let x be s(3). Suppose -2*h + 11 = -5*h - w, -2*h - 4*w + x = 0. Let y = -5 - h. Solve -v = -y*v - 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 40*k + 112. Let y be z(-2). Calculate the greatest common divisor of 2144 and y.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59 - 58.999991. Round h to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-36*c - 24 + 18*c + 17*c)*(4*c - 27*c - 4*c + (2 - 1 + 1)*(0*c - c + 3*c) + 3 - 3 - 2*c) to w + a*c + x*c**2 and give x.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/((-208)\/221))\/(40\/(-80))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-3)*50*(-12)\/16. Suppose 2*o - i = -2*t + 7*t, 5*t + 25 = 5*o. Suppose o = 9*u - 4*u - 575. Is 18 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f\/(f\/(f\/((f\/(f*f*f*f**10\/f*f)*f)\/f)*f*f*f))))\/f*f\/(f\/((f\/f**(-2\/21))\/f))*f*f**(2\/9)*(f**(2\/17)*f)\/f assuming f is positive.\nAnswer: f**(-14528\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8520784 + 8520784 + 5*m - 5*m - 6*m**2.\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - k**2 + k - 1. Let s(y) be the third derivative of 1\/4*y**4 - y**3 + 0 - 1\/24*y**6 + 0*y + 195*y**2 - 1\/10*y**5. Calculate -30*q(n) + 5*s(n).\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1527492*d + 2270175 wrt d.\nAnswer: -1527492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13.04396 + 13.12. What is q rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**2 - 2*r**2 + 4 + 5 + 14*r**2.\nAnswer: 14*r**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 55, -18 in ascending order.\nAnswer: -18, -5, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 910524 and -1.\nAnswer: -910524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 v when two letters picked without replacement from dtlxxtvvltltvtx.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*g**2*h**2 + 3*g**2*h + 6*g**2 + 2*g*h + 6*h**2 - 321*h wrt g.\nAnswer: -4*g*h**2 + 6*g*h + 12*g + 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 0 = 2. What is the common denominator of -47\/2 and ((-4)\/16*65)\/s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46088, 92210, 138334, 184460?\nAnswer: 230588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6*10\/45*-6)\/(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 i when three letters picked without replacement from xxxahxixxhbihaixxab.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2175)\/(-15))\/29*2\/(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -70 + 329. Suppose 5*k + 2*n = 487, -4*k + v + 133 = n. Does 3 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -4139*f - 33480. Calculate g(-8).\nAnswer: -368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -26. Calculate the remainder when (-2)\/(-8) + (-179)\/(-4) is divided by u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -72 + 76. Suppose 3*l + 10 = -3*j + z*l, 2*j - 5*l = 2. Let y = 1\/2 - 5\/6. Which is the nearest to 1? (a) y (b) j (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2225.602 - 2.398. Let q = c + 2227.997198. What is q rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -125191? (a) 1 (b) 2\/13 (c) 1.4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 2:18 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 10:24 PM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 179, 180, 181, 182, 183, 184?\nAnswer: 185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 11 = 7*a - 23, 6*a + 91*l - 89*l - 22 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2537349 - 3737349. What is d rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 5*i + 6 = 4*i, 3*g + 5*i + 12 = 0. Calculate the smallest common multiple of (-2)\/(-7) - ((-1520)\/70)\/8 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -23 - -9684?\nAnswer: 9661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 5) in base 3?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/192 and -69\/80.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 4 (b) 911\/3 (c) 6 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of 0*o**2 - 11*o - 17\/3*o**3 + 0 + 1\/30*o**5 + 1\/360*o**6 + 1\/12*o**4. Let z(g) be the second derivative of b(g). Give z(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 223, 452, 681, 910, 1139, 1368?\n\"Answer: 229*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 6) in base 2?\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(-2\/3))**(-2\/31)*(n\/((n\/(n*n*n**2\/n))\/n))**(-6))**(-2\/9))**(-18\/5) assuming n is positive.\nAnswer: n**(-8968\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14422869 is divided by 154.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pwggggwrprrg. What is prob of sequence gw?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2669\/2 - 1284. Calculate the common denominator of 0 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of 0*v**2 + 0*v**4 + v + 0 - 1\/3*v**3 + 1\/15*v**6 + 0*v**5. Find the second derivative of m(w) wrt w.\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -152362, -152314, -152252, -152176?\n\"Answer: 7*q**2 + 27*q - 152396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23*p**2 + 49*p + 4425 wrt p.\nAnswer: 46*p + 49","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 96*q - 98*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nggngggggn. What is prob of picking 3 g?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 1 = -5*b, -3*i - 2*i - 5*b + 5 = 0. Suppose i*z - 3*z + 4*k - 2 = 0, 5 = z + 3*k. Solve 5*a - z*a = -3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6464 = 2*f - 0*f. Let q be (32434\/(-20))\/(-1 + (-15)\/(-10)). Let h = f + q. What is the common denominator of 109\/12 and h?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 25?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -14956, -59815, -134574, -239227, -373768, -538191, -732490?\n\"Answer: n**3 - 14956*n**2 + 2*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*m - 12 = -41*m. Put m, -2, -11 in decreasing order.\nAnswer: -2, m, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a - 6. Determine i(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 553151? (a) -5 (b) 3\/2 (c) 4 (d) 34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49969 is divided by 921.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 3*l = -25, 2*x - l + 0*l = 5. Suppose 2*u - x*o + o = 550, -2*o + 8 = 0. What are the prime factors of u?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6 - -6) + (-6)\/22. Suppose -k = 1 + 1, 2*l - 3*k = 6. Which is bigger: l or v?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45 and 34325.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 3*y + 5*v - 92, 3*y + 4*v - 157 = 0. Suppose 5*b + 26 = y. What is the nearest to -3 in -4, b, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f - 415338 = -11*f. Suppose 0 = 62*l - 41*l - f. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**5\/4 + 179*t**4\/4 - 183*t**3\/4 - 539*t**2\/4 + 91*t\/2 + 90 = 0?\nAnswer: -180, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*w + 22 = 0, 0*a + 2*w + 10 = a. Solve c = 4*z - 19, 2*c + z = 3*z - a for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 334 is divided by 68.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -12 (b) -2\/11 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 30*q**2 + 1099*q - 3285. What is x(3)?\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8330, -33319, -74932, -133169, -208030, -299515, -407624?\nAnswer: -532357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 3*f + 2. Let o be k(-2). Suppose -c + 5*s = o - 179, s = -3*c + 589. Suppose 4*z + 43 = c. Calculate the remainder when z is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1898450.66 to the nearest 1000.\nAnswer: -1898000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 383*s = 292*s - 2366 for s.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 24*s - 5. Let j(v) = -20*v + 4. Let p(c) = 5*j(c) + 4*y(c). Let b(k) = 9*k. Let m(r) = -r. Let u(t) = -5*b(t) - 40*m(t). Determine p(u(g)).\nAnswer: 20*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2676 (base 12) to base 10\nAnswer: -4410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 2 w, and 1 u when four letters picked without replacement from ppwwpuwwrwwr.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 646347 is divided by 4197?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 747, 1509, 2249, 2955, 3615, 4217, 4749?\n\"Answer: -2*k**3 + k**2 + 773*k - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -484587, -969154, -1453729, -1938318, -2422927, -2907562, -3392229?\nAnswer: -3876934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 79 + -74 + -12 + -1 - -28?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-189)\/(-6))\/7 - (1 + 2). What is the smallest value in g, -3, 2\/19, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -44 + 42 - (11 + -3).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 144, 3 in descending order.\nAnswer: 144, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 + 6 = 5*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2183\/8130 + 2 + (-18)\/10. Let y = -1\/542 + l. Calculate the common denominator of 271\/12 + 2\/8 and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - w = -18, -24*w - 2 = 3*t - 19*w for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 326 divide 7045994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2. Let c(s) = 188513005*s**2. Calculate c(h(x)).\nAnswer: 188513005*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/13296 and -70\/34563.\nAnswer: 153183216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 92255815697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1*z\/z**(-2\/27))\/(z\/(z\/(z\/(z**(-2\/21)\/z*z))))**(-1\/36) assuming z is positive.\nAnswer: z**(1591\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -122052 take away 162425?\nAnswer: -284477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - -11. Suppose 5*j + 0*j = s. Solve f - 2*p + 14 = -f, -j*f = -3*p + 27 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235925 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a - 21 = 54. Solve 0 = -a*i + 21 - 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1026851 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11179 is divided by 71?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 z when two letters picked without replacement from {z: 2, h: 7}.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - 280 - 9 + 325 - 14 - 4*f**3.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 10*j - 16. Let q be (8\/(-14))\/(j*1\/(-14)). Determine y so that 3\/2*y**4 + 0*y - 1\/2*y**5 - 7\/2*y**q + 2 + 1\/2*y**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (90\/2)\/(2 - 1). Let k = -29 + d. What is the highest common divisor of 80 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v**3 + 9*v**3 + 17*v**3 - 25*v**3.\nAnswer: 5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(4\/12)*-7. Let z be ((-72)\/m)\/(6\/126). Suppose -90 = -6*x + z. What is the remainder when x is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 2\/(-16))*-1. Let p = 19246 + -19245.9. Which is the second biggest value? (a) 1\/7 (b) -0.1 (c) p (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6656\/99 + 610\/9. Factor 12\/11*c**2 + i*c**4 + 16\/11*c**3 + 0*c - 2\/11.\nAnswer: 2*(c + 1)**3*(3*c - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, 4, 45, 98, 163, 240?\nAnswer: 329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5*(-1)\/5*-5. What is the remainder when 97 is divided by 2 + 33 + (-10)\/d?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81281115.\nAnswer: 3, 5, 1806247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 5*q - 47 + 26, 29 = 5*q - y. Let o(x) = x**2 + 3*x + 3. Let n be o(-3). Suppose q*r - n*r = 0. Is 1\/5 > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**2 + 8*a**2 - 11*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*k - 116*k**2 - 48*k**2 - 1169*k**5 + 171 - 59*k**5 + 164*k**2 wrt k.\nAnswer: -24560*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, 16, 629?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -5*z**2 - 11*z - 8. Let k(o) = o**2 + o + 1. Let a(h) = 4*k(h) + l(h). Suppose -46 - 314 = -18*p. Let x be ((3 - 1) + 108\/(-48))*p. What is a(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 7*l**3 + 4*l - 4. Let x(t) = t - 1. Let j(o) = -o**2 - 3*o + 4. Suppose -4*h = v - 17, -2*v + h - 20 = 3*v. Let f be j(v). Give f*x(b) - w(b).\nAnswer: -7*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -328*f + 1314. Determine i(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 36481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -0.2, -2\/137 in descending order.\nAnswer: -2\/137, -0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - (-205)\/(-65) - 82\/(-26). Suppose -8*s = -21 - f. What is g in 8\/3*g**3 - 1\/3*g**4 - 22\/3*g**2 - s + 8*g = 0?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 240 + 242 = -2*s, 0 = -5*v + s + 16 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -201*h**3*n**3*s - 10*h**3 + h**2*n*s + h*j*s + 3*h*n**2*s**2 + j*n**3*s**2 - 5*j*n**3 + 3*n*s**2 wrt n.\nAnswer: -1206*h**3*s + 6*j*s**2 - 30*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-8)*4\/6. Let s be 30 - (0 - (-3 - -1)). Let z be 4\/10 - s\/20. What is the closest to z in -2, d, 2\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/5 or 39.4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (-19 - (-8 + 4))) + -3 - 14?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 16 = -5*m + 45, 0 = -m + 3*y + 2. Let l(u) = -u**2 - 2176*u - 21655. Let z be l(-10). Solve -5*a - 5 = 5*g, m = -5*g + z*a - 0*a for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/4 - (-1)\/(-4). Let m = 3.37 + -46.27. Let c = 43 + m. Is p at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s + 16. Let p = -25 - -37. Let n be h(p). Let d(f) = -2*f**2 - f - 4. Let o(g) = 2*g**2 + g + 3. Give n*o(b) + 3*d(b).\nAnswer: 2*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 6*(sqrt(2) + 0) + 4.\nAnswer: 5 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 120 = -4*y + 2*t, y - t = 30. Suppose 0*k - y = -3*k. Calculate the smallest common multiple of 7 and k.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-4 + 4) - (0 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ohohoohhhooho. What is prob of sequence hoh?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -4*i + 423 - 433, -40*x = 80 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**6 + 9529*c**3 + 2774*c**2 + 4.\nAnswer: 120*c**3 + 57174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 124 and 83.985?\nAnswer: 10414.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -26*d**3 + 341*d**2 - 23*d + 8. Determine o(13).\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 12:12 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -16*q - 20. Let c be d(-2). Let g(w) = 23*w - 73. Let v be g(c). Which is greater: 202 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -261984539 and 1.\nAnswer: -261984538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 2*o + 10 = 0, o + 26 - 16 = -5*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/2)*i)\/i)**(-2\/17)\/(i*i**(2\/13)*i*i*i*i*i*i*(i\/i**(9\/2))\/i) assuming i is positive.\nAnswer: i**(-1199\/442)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 - 0.2. Let s = t + 0.1. Let g = -1 - s. Which is the smallest value? (a) g (b) 0 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 2*j + 4, 2*p - p + 4*j - 3 = 0. Let f(x) = -13*x**2 + 2*x - 2. Let r be f(-4). Is p\/(-2)*-1*r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 4*m - 219, -2*b + 7*b + 128 = 3*m. Suppose 0 = -2*y - 20 + 56. What is the remainder when m is divided by y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*4*(-2 + sqrt(110)\/(6*sqrt(20)\/sqrt(2))))**2 + 3.\nAnswer: -32*sqrt(11)\/3 + 647\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of t**3\/9 + 13*t**2\/6 + 22*t\/3 - 124. Solve i(q) = 0.\nAnswer: -11, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 62 - 56. Suppose -u*b = -3*b - 795. Is b a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -740b4 + 2?\nAnswer: -740b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49 + -52 + -1 + 0 + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 46 = 2*g, -g - 3*g + 65 = 3*z. What is the third derivative of 256*k**3 - 9*k**4 - 256*k**3 + z*k**4 - 17*k**2 wrt k?\nAnswer: 432*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3\/6 - (-15)\/30 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a microsecond in nanoseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -412 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 12 = -5*l + 17, 0 = -6*h + l - 11 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 10) to base 4\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 9. Calculate the common denominator of 28 + y*3\/18 and 29\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*o**2*z**3 - 15*o*z**3 + o*z wrt o.\nAnswer: -10*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29\/203*15*12\/(-9)?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from egddvvhea. Give prob of picking 1 h and 1 v.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -540 - -666. Calculate the highest common factor of o and 378.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 4*z - 162. What is v(43)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5383, 10762, 16139, 21514, 26887?\nAnswer: 32258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 93058 and 245.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -296 = 139*m - 102*m for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k + 1. Let d(n) = 4*n**2 - 3*n. Suppose h - 4*h + 6 = 3*j, 7 = j + 2*h. Let b(o) = j*i(o) - d(o). What is the first derivative of b(r) wrt r?\nAnswer: -8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1879455 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 804 + -743. What is the remainder when s is divided by 34?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -92513, -370055, -832625, -1480223, -2312849, -3330503?\n\"Answer: -92514*r**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(sqrt(726)*-2 + sqrt(6) - sqrt(6)))\/(sqrt(4)\/sqrt(2)*3 - (sqrt(50) - sqrt(50)*2)).\nAnswer: -sqrt(11)\/176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -26*f**5 - 19*f**2 + 4*f - 4. Let n(d) = 26*d**5 + 20*d**2 - 5*d + 5. Let k(b) = 4*n(b) + 5*x(b). Find the third derivative of k(w) wrt w.\nAnswer: -1560*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 259 + -164.01. Let r = -95 + g. Which is greater: r or -1.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, q: 2}. What is prob of picking 1 q and 2 a?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 19231034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pv when two letters picked without replacement from iijipppvpppjpnwvj?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1301 - -2597\/2. Which is the nearest to z? (a) 0.5 (b) -0.1 (c) 3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -2*u**4\/13 + 774*u**3\/13 + 1554*u**2\/13 + 778*u\/13 = 0?\nAnswer: -1, 0, 389","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-46)\/(-161) + (-1 - (-166)\/7). Let i(d) = -39*d**3 - d**2 - 3*d - 2. Let j be i(-1). Let q = j - v. What is the remainder when 110 is divided by q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(190) + -4*1*sqrt(190) - (sqrt(190) + (sqrt(190) - sqrt(190)*2 - sqrt(190) - sqrt(190))*-1))\/(sqrt(120)\/((-1*sqrt(48))\/sqrt(4))).\nAnswer: 42*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 165 = -21*z. Let i = 151 - z. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30169060?\nAnswer: 2, 5, 37, 59, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 458897 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -479168308 + 2.\nAnswer: -479168306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of p**5\/20 - p**4\/12 - p**3\/6 - 3*p**2 + p. Suppose 5*k = -5*o + 45, 3*o - k - 1 = 6. Suppose o*q = q. Determine m(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 4*g + 6*g - 20 = 0, -3*g + 5 = 2*q. Put 2, -13, q, -2 in ascending order.\nAnswer: -13, q, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(20\/6)*80*85\/(-425)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 - 9*y - 5. Let v be t(-8). Suppose 3*i - 3 = -4*z + 2*i, -v*z = i - 3. Suppose z = -4*p + 6 + 106. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/1*(14 + -3). Suppose c = a - 0*d + 5*d, 2*d = -3*a + 67. Calculate the remainder when a is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2 = 2*k. Solve k*j = -3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -95 by -44.\nAnswer: 95\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 2\/5, 2\/11 in decreasing order.\nAnswer: 2\/5, 1\/4, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 367 = 269. Let y be 3*(-1 + 2) - (13 - c). Suppose v - i - 67 = -2*i, -4*v + y = -4*i. Is v a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1393300 is divided by 139321?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 10*g**2 - 8. Give d(10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3823574?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3092 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 3*s - 82, 4*s = -5*n - 95 + 9. Let b = n + 24. Let d be (-11)\/(-2) - ((-42)\/4)\/(-7). What is the highest common divisor of d and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (15\/(-2))\/((-708)\/5284040)?\nAnswer: 5, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46924597?\nAnswer: 46924597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 507326.85 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.013 - -51.987. Let r = -13.095977 + -38.904072. Let l = j + r. What is l rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/14 - 4*(-1095)\/42. Suppose -2*s - 3*k = -8*k - 60, 4*s = 2*k + o. Solve 6*l - l = -s for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, 0.03, -1.2, -0.2, -0.1 in descending order.\nAnswer: 2\/17, 0.03, -0.1, -0.2, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -197300 to the nearest ten thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pgpggzzpzpzpzg. Give prob of picking 2 g and 1 z.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 92 = -4*t, 5*q + t = -0*t + 123. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*-15.05\nAnswer: -60.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(3) + sqrt(36)\/sqrt(12)) - sqrt(28))\/(3*sqrt(16)\/sqrt(4)).\nAnswer: -sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, 7759, 2.1, 0.3, -2\/7?\nAnswer: 7759","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2340 and 1815?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57762 is divided by 101?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 396*g**2 - 396*g**2 + 37*g**3.\nAnswer: 37*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 21\/(-30) - (-3)\/15. What is the biggest value in 2\/3, n, 2\/15?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.5, -48, 3\/52, -0.4 in decreasing order.\nAnswer: 1, 3\/52, -0.4, -0.5, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -11*y + 25, 139*y + 23 = 5*p + 140*y for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 421 + -25259\/60. Suppose -289 = 5*m + 296. Let r = m - -116. Which is greater: r or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 0 + (0 - 0) + (-20 - -16).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 317, 305, 277, 227, 149?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1055*b = 9835 + 3880 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -135, -528, -969, -1458, -1995?\nAnswer: -2580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 1\/2, -9, 3\/4, -10797?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1163\/27 or -43?\nAnswer: -1163\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79479504 is divided by 139?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - 39)*65\/(-364). Factor 0 + 3\/4*o**3 + 2*o + n*o**2.\nAnswer: o*(o + 8)*(3*o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.043308505 rounded to 3 dps?\nAnswer: 0.043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/12 and -133\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5763 a factor of 2465188790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4962 and 3.\nAnswer: -4959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 4*l. Suppose 0*u - 5*u + 10 = 0. Let v(x) = 3. Let s(d) = d - 2. Let o(i) = u*v(i) + 3*s(i). Give 2*h(y) - 3*o(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -92529, 34, -1 in decreasing order.\nAnswer: 34, 20, -1, -92529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from rfkkkfrykf?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32891 is divided by 36.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 137621\/22 + -9 + 1\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 5 + 1 + (-1 - 3 + 2)*(3 - 2 + 1) - 4 + 4 - 2)*(-14 - 5*x + 14)*(-1 - 3 - 1) as z + n*x and give n.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ao when two letters picked without replacement from {p: 1, u: 6, w: 2, a: 1, o: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -294209?\nAnswer: -88262.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fyfq when four letters picked without replacement from {y: 1, q: 3, f: 3}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1239 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7841)\/(-9) + (-2)\/9. Let u(f) = 42*f - 623. Let c be u(15). Suppose -j + 339 = -c*b. What are the prime factors of b?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 32.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 16 = 4. Let d(h) = -5*h - 3. Let q(c) = 4*c + 2. Let i = 6 - 4. What is i*d(w) + x*q(w)?\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2)*(2 + 4 + 1)*(y**4 - 2*y**4 + 3*y**4).\nAnswer: 28*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 4*t + 5*r - 2, 2*t + 4 = 4*r. Suppose 2*l - 30 = l - 2*h, t = 4*l + 2*h - 102. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 163*l**3 - 18*l**3 + 0 + l - 2*l as r*l**2 + p + a*l**3 + y*l and give a.\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 9 + -18 - -20?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 26114663 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 479925?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 76 by -6.\nAnswer: -38\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c**3 + 607196*c**2 - 22462145*c\/2 + 103881089\/2 = 0. What is c?\nAnswer: 37\/4, 75881","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 0.2, -1589, 2, 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -10*t + 10. Let y be n(-13). What is the greatest common divisor of 112 and y?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 15268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 7) + -5 + 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 2*b - 5, 4*p = -3*b - b + 24. Let q(t) = t**3 - 5*t**2 - 2*t + 14. Let k be q(b). Solve -n + 5*m = -0*n + 16, 12 = k*m for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*x - 24*x - 81 = -20*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of -c**8\/960 - c**7\/504 + c**4\/6 + 2*c**2. Let p(o) be the second derivative of u(o). Find the third derivative of p(y) wrt y.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 900913 to the power of 1\/2, to the nearest integer?\nAnswer: 949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -m**2 - 13*m - 31. Determine u(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119263 rounded to the nearest one hundred?\nAnswer: 119300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 104861\/3 - 34953. What is the closest to g in 22, 5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/5 - (11974\/(-7))\/(290\/406). Solve -2347 + u = -6*o for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 14. Let i be (-45)\/(-12) - (-2)\/y. Suppose -i*r + 51 = 3. Calculate the highest common divisor of r and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -107074?\nAnswer: -107072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.85 (b) 0.09 (c) 63\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 86355*-0.03\nAnswer: -2590.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 2, 6 - 3 = -k - 5*m. Calculate the smallest common multiple of k and 106.\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {z: 1, r: 1, d: 2, j: 1, i: 1, v: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -1\/75 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 0 = 12. Solve y*r + 8 = -2 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-6)*3\/5*50\/15.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4150449 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 -24*z = -20*z. Suppose z = 5*y - 20, 2*y + 28 = -5*k + 1. What is the tens digit of -4 - (k - -4) - -65?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15827 and 203490.\nAnswer: 1424430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (18\/21)\/(2\/14). Suppose v*t = t + 175. Does 6 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - 10) + 5 - (-6 - -4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219\/146*(-2540)\/(-3).\nAnswer: 2, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-15)*550\/66\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**3 + 97*n**2 + 49*n + 37. Let o be b(49). Let u = 50\/3 - 17. Is u >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g - 33*g + 224 - 323 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 69044, 275915, 620690, 1103369, 1723952, 2482439, 3378830?\n\"Answer: 68952*c**2 + 15*c + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2131422441 (base 5) to base 6\nAnswer: -241431420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -16267, -16272, -16281, -16294, -16311, -16332, -16357?\n\"Answer: -2*x**2 + x - 16266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 15 = -2*f. Let j(p) = -46*p + 6. Let i be j(f). Does 10 divide 1\/2 - i\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - (-2)\/(-2)*-4. Is p\/(-2) + -1 + 86 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 416\/11 + (-42)\/(-231). Let g be (-291)\/(-15) + 8\/(-20). Calculate the highest common divisor of m and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -200, -280, -122, 394, 1388, 2980?\nAnswer: 5290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1738926?\nAnswer: 2, 3, 7, 37, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -546*h - 133814 = -2571*h - 884*h for h.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6*(-4 - (-21)\/6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 0 + (-175)\/28 + 7. Which is the closest to n? (a) -3 (b) 2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 8*q**2 + 46*q - 26. Let j(k) = 9*k**2 + 45*k - 26. Let z(s) = -5*j(s) + 6*x(s). Give z(-18).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 - 17. Let v be c\/(-9)*(-5)\/15. What is the second biggest value in 4, -3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 8\/29083531?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 29029008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6005.\nAnswer: 5, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 5:41 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90 and 10172020.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = w + 10. Let x(a) = -2*a**2 + 2*a**2 + 6*a - 6 - 2*a**2 + 3*a**2. Calculate x(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56171 (base 11) in base 6?\nAnswer: 1424450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8974bb (base 12) to base 6\nAnswer: 114535155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 594 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4450, 17940, 40410, 71866, 112314, 161760?\n\"Answer: h**3 + 4484*h**2 + 31*h - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_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: Let i(l) = -53*l. Let j(n) = -139050*n - 7. What is j(i(g))?\nAnswer: 7369650*g - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wy when two letters picked without replacement from tttytwttttrtw.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1319 - -11869\/9. Sort 0.1, u, -1, 3.8 in descending order.\nAnswer: 3.8, 0.1, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-6) + (-17)\/(-170)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5329881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3013 = 566*x + 4736 + 26440 + 26373 for x.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31*d**3*y**2 - 470*d**2*y**2 - 16500*d*y + d + 2*y**2 wrt d.\nAnswer: 186*d*y**2 - 940*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (600\/125)\/(-24)*4\/(-2)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1440 (base 8) in base 14?\nAnswer: -412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hrar. What is prob of sequence hra?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-24)\/(-28))\/(-3))\/((-2)\/(-28))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 366 and 99625566?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 328565, 1314589, 2957971, 5258717, 8216833, 11832325, 16105199?\nAnswer: 21035461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -1\/6, -4, 0 in increasing order.\nAnswer: -4, -1\/6, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/((-3)\/45*9). Suppose -150 - 275 = -r*z. Does 8 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*m)*(2*m**2 - m**2 + 0*m**2) - 176*m**2 + 71*m**3 + 176*m**2.\nAnswer: 73*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 45514, 182063, 409638, 728239, 1137866, 1638519?\n\"Answer: 45513*m**2 + 10*m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ymiypyppmpmiim. What is prob of picking 1 m and 1 y?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 - -16.7. Let p = o + -16.97. Is p greater than or equal to -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((6\/12)\/((-1)\/(-36)))\/((-240)\/120)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 2*d - 7. Let g be s(-3). Let t = -0.136 + 0.536. Sort t, -0.4, g, 5.\nAnswer: g, -0.4, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -17*w**3 + 7*w**2 + 1753*w - 12328. Determine u(7).\nAnswer: -5545","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -233 + 129. Let n be (-3)\/(-2)*y\/(-39). Let h(u) = 3*u**3 - 5*u**2 - 4*u + 3. Is 21 a factor of h(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -30*o**3 - 2*o**2 - o + 1. Let y = 41 - 42. Let x be j(y). Suppose i + i - x = 0. Is 13 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/((16\/(-20))\/(-2)). Suppose t = r - 69, i*t - 3 - 7 = 0. What is the remainder when r is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h + 10. Let c be w(-6). Suppose 7*k - 17 = -5*m + 4*k, -5*k + 24 = c*m. Let v(g) = 10*g**3 + 2*g**2 - g. Give v(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.08805 - 92.42805. What is p rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1705 divided by 3\nAnswer: -1705\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8 + 3 - -3) + 1. Let u = -1 - o. Solve u*m = 5*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from {e: 1, d: 2, r: 4, h: 7}?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.94 + -4.54. Let t = 2.6 + b. Sort -4, 1\/9, -2, t in increasing order.\nAnswer: -4, -2, 1\/9, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 10:54 PM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4568558089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*y**6 + 29*y**4 - 16*y**2 + 45.\nAnswer: 840*y**3 + 696*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 12*l**2 + l - 9. Let u = 50 + -38. Let s be b(u). Solve s*d = 9 + 3 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6 + 5)\/(2\/(-244)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 7:06 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -13. Let f = 5 + 6. Let m = f + -10.8. Put -2, m, x in decreasing order.\nAnswer: m, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -17, 85, 367, 919, 1831, 3193, 5095, 7627?\n\"Answer: 15*b**3 - 3*b - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 651139\/354992 + -323\/176. Is k < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z + h + 72 = 0, z - 356*h + 175*h - 36 = -186*h for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1467180 to the nearest 10000.\nAnswer: 1470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2906252*p - 5399904*p - 9914504*p - 3200448*p.\nAnswer: -21421108*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1209205 is divided by 3085.\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 391605809?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 236*v - 620*v**2 + 320*v - 3*v**3 - 13*v**3 + 78 - 398*v = 0. Calculate v.\nAnswer: -39, -1\/4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6\/175, 0.2, 2\/5, 0.5, 4, -1\/170?\nAnswer: -1\/170","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 327*q + 323*q + 7 = 3, q + 6 = -3*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 4*p, -2*v = 2*v - 2*p - 10. Suppose x - 2*g - 20 = -2*x, -4*g - 20 = -x. Is v at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32001213 (base 5) in base 3?\nAnswer: 111111121202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 u when three letters picked without replacement from kkukkwuuwu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -6*k + 1. Let l be s(1). Suppose -4*p + 6*p = -30. Calculate the remainder when 9\/l*50\/p is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in 5, 13\/18, -3, -70, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - -3)\/(2\/21). Let m = 16 - h. Suppose -4*q - 3*j + 28 = 0, -4*j = -2*q - 2*q. Which is the closest to 13? (a) m (b) q (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((3 - 1) + 5 + -2 - 4) + 12\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2955*g = -2954*g + o + 50, 3*g - 3*o = 120 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 4. Let b(p) = p + 2. Let m be b(5). Suppose m = 2*j + 3. Do j and n have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 1375 = i, -3*p + 4*i = -8*p - 1705. Let q = -341 - p. Calculate the greatest common divisor of 128 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303177 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l - 4. Suppose 5*g = 5 + 15. Calculate the remainder when j(g) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1288 + -25. Suppose -5*b = -g + 427, -3*b = g + 2*g - y. What are the prime factors of g?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -295*y**3 - 3*y - 2 + 9464*y**2 + 305*y**3 - 9465*y**2. Determine a(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256059 is divided by 3369?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 130+455831\nAnswer: 455961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-87*i - 46*i + 36*i)*(-4*i + 6 - 6) to the form a*i + m*i**2 + w and give m.\nAnswer: 388","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/5*(12\/9 + -1). Let g = 45 + -44.4. Let l = -0.8 + g. Which is the fourth smallest value? (a) 1 (b) -2\/13 (c) l (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10028?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000465768 to six decimal places.\nAnswer: 0.000466","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 191844 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 266888 and 228043.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 6 = -10. Let x(b) = 4*b**2 - 4*b**t - 3*b**2. Let o(c) = -19*c**2. Calculate x(o(w)).\nAnswer: -1083*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10a (base 11) to base 4.\nAnswer: 2003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 506?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*635.\nAnswer: -1905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 132874745 to the nearest integer?\nAnswer: 11527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ootoottottttoooototo. Give prob of picking 1 t and 1 o.\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c - 2*c - 2*c + 148*c - c - 4*c + 0 - c + 0 - 2*c + 4*c - 4*c + (3 + 0 - 1)*(0*c - 2*c + 0*c) to x + d*c and give d.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*u = -67*u - 5*b - 21, 0 = 4*u + b + 21 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/292 and 13\/252?\nAnswer: 18396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (-34 + 19 - (5 - 11)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 241 + 69*n - 3*n**3 - 483 + 242 as a + o*n**2 + r*n + u*n**3 and give r.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 10.4?\nAnswer: 10.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 940?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50\/9*d + 2\/9*d**2 + 44\/3 = 0 for d.\nAnswer: 3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 68\/249977 or 1?\nAnswer: 68\/249977","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1688 = -8*c + 1672 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + -2 - -2) + 207 + -203?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-1\/4)\/j)\/j)**(-2\/11)*(j**(-7)*j)\/j**(4\/5))**(-1\/60) assuming j is positive.\nAnswer: j**(703\/6600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of 127*d**6\/12 - 1555*d**4\/24 - 1872*d**2. Find the second derivative of h(s) wrt s.\nAnswer: 7620*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 6174\/20003 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of 0 + 1\/2*m**4 + 3*m + 0*m**5 + 0*m**6 + 0*m**2 + 1\/42*m**7 + 0*m**3. Find the third derivative of t(d) wrt d.\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + 2*y. Let q be f(2). Suppose 5*l - 3*m - 1 = q, 0 = 3*l + 2*m - 3*m - 3. Suppose -l*i - 4 = -3*i. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 c when four letters picked without replacement from {p: 3, c: 12}.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1b - -43fe4c?\nAnswer: 43fe31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -121*q**2 + 16*q + 63. Let o(n) = -n**2 + 3*n + 1. Let u(y) = -d(y) + 5*o(y). Find the second derivative of u(b) wrt b.\nAnswer: 232","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (3*sqrt(275)*-2 - sqrt(275)))**2.\nAnswer: -140*sqrt(11) + 13479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 2:21 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 29959589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2019 - 2013. Is 61 at most as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 57 + 43. Suppose 10*d - l + 10 = 0. Is d >= 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -186 times 691206?\nAnswer: -128564316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -12*n**2 + 7*n + 29. Let d(f) = 50*f**2 - 30*f - 125. Let q(m) = 7*d(m) + 30*w(m). Let l(j) = -6*j**2. Calculate q(l(b)).\nAnswer: -360*b**4 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 42\/17, -4\/101, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -57000 rounded to the nearest 1000?\nAnswer: -57000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 466920 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: Expand (c**3 + 2*c**3 - c**3)*(-7 + 0 + 0) + (-2*c + 0*c + c)*(3*c**2 - 4*c**2 + 2*c**2) + (2*c**3 - 3*c**3 + 3*c**3)*(-1 + 1 + 1).\nAnswer: -13*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 830006 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of t**4\/4 - 3*t. Let b(s) = -2*s. Give b(n(d)).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3076, -6316, -9556?\nAnswer: -12796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -4*q. Let c(x) = -11*x - 6. Let h(i) = i - 1. Suppose -10*w - 90 = 5*w. Let z(k) = w*h(k) + c(k). Determine z(y(f)).\nAnswer: 68*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 + -144 + -55 + 115.\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13 - 6 + 23)*(42 + 2106*x + 32 - 114 + 40) to the form q + i*x and give i.\nAnswer: 8424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 2 - 7*d**2 - 2 + 2 to h*d**2 + p + c*d and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 63 + -116a9?\nAnswer: -11646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -6.3. Let s(q) = 46*q. Let m be s(5). Let k be (-2)\/7 - m\/(-70). Which is the third smallest value? (a) h (b) k (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) - (sqrt(700) + 0 - sqrt(700)))**2 - sqrt(700)) + sqrt(7) + sqrt(21)\/sqrt(3)*-1 + sqrt(7).\nAnswer: -9*sqrt(7) + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 460792*m - 3*m**3 + 5*m**3 - m**3.\nAnswer: m**3 + 460792*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 85 and 377655?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - 16*b + 75. Let p be j(-18). Put p, 2, 5 in decreasing order.\nAnswer: p, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -436*f - 4. Let n(y) = 3045*y + 30. Give 15*g(t) + 2*n(t).\nAnswer: -450*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -665*q + 49212. Determine l(74).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.05 at least as big as 238?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 2 = -r. Let s(o) = -2*o - o - r*o + 4*o. Determine s(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + u = 28, t = -4*t + 4*u + 13. Suppose -2*y + 5*j + 50 = 0, -2*y + 116 = 2*y - 2*j. Suppose -3*q + x + 36 = -y, -4*q = -t*x - 77. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162324 + 162331 - 486990 + 162332 + 3*j**3.\nAnswer: 3*j**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12233735 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-1 + 14 - -3)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -2636542?\nAnswer: -2636535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*w - 1 + 1)*(3*w**2 - w**2 - 4*w**2) - w**3 + 3*w**2 - 3*w**2 + (8 + 4*w - 8)*(3 - 3 - w**2) as k*w**3 + n + l*w**2 + b*w and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 999 - 2?\nAnswer: 997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.2 in -0.4, 820, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-13 - -4) - 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 68372359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 2*q + 12 - 18 - 10 as r*q + k and give k.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-9 + 1)) + (-11 - (-5 + -1))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 5*b + 2*b)*(-3 + 1 + 3) + 1 - 1 - b - 1 + 9*b + 1.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.8 and -116722.1.\nAnswer: 560266.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 9 = -182. Suppose r - 2*d + 19 - 195 = 0, -r = -d - x. Calculate the highest common factor of 17 and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3.36, -14, 3\/5, 1, 21\/17, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 128449193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1260 less than or equal to 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 148.514045 rounded to two dps?\nAnswer: 148.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or 3660?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of -13*a**5\/60 + 424*a**2. Let t(h) = -11*h + 1. What is f(t(n))?\nAnswer: -1573*n**2 + 286*n - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3315837 - -424163. What is k rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.3 - 0.06?\nAnswer: 12.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 42 + 2. Suppose -y = 0, -5*y + 2 - g = v. Let t = -4 - v. Put t, -4, 0 in ascending order.\nAnswer: -4, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6614*o**3 - 859*o**2 + 8292*o**3 - 876*o**2 + 135*o**2 wrt o?\nAnswer: 10068","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*d**3 + 74548*d**2 - 231583360*d + 154355776.\nAnswer: -2*(d - 6212)**2*(3*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/2954 and -41\/5467?\nAnswer: 2307074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(119)\/(sqrt(175) + sqrt(7))*-6.\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23465 - 23238. Calculate the remainder when c is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = 4*m + 3*b - 2, 5 = b for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 - (88 + -85)*5\/(-3). Let j(r) = -r - 1. Suppose l = -0*l - 4. Let n(z) = -2*z - 5. What is l*j(p) + t*n(p)?\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 25484, 22 in decreasing order.\nAnswer: 25484, 22, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -w**3\/2 - 3791*w**2 - 30304*w - 60592 = 0?\nAnswer: -7574, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of h**4\/24 + h**3\/2 - 2*h**2. Let t be n(3). Suppose -v - 5*g = -t*v + 15, -5 = -2*v + 3*g. Is 3 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00035781 rounded to six dps?\nAnswer: -0.000358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -4*h + 23. Let r be j(-3). Find the second derivative of -710 + 710 + 54*l**2 + r*l wrt l.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 39291?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 5*y**2\/2 - 8*y + 5. What are the prime factors of k(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -146. Suppose -24*h + 2725 = -53*h + 4*h. Let g = h + z. List the prime factors of g.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 o when two letters picked without replacement from dvvvyvovuzvozdvdoz.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12266575*p**4 + 5581105?\nAnswer: -49066300*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 2*a + 22 + 0 = 0, 0 = 3*q + a + 7 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 237*z**2 - 133*z**2 + 226*z**2 - 146*z**2 + 245*z**2 + 200*z**2.\nAnswer: 629*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/4*(-10)\/4*-72 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4080 by -3.\nAnswer: 1360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a century in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 159759778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1787.\nAnswer: 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 25785484 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 9*r - 94. Give f(7).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**2 - 4 + 2 + 0*o**2 + (-8 + 5*o + 8)*(o + 3*o - 5*o).\nAnswer: -8*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/10*10\/4. Suppose 3*z + 15 = 0, -4*b + 0*z = a*z + 3. Suppose 2*n = -4*u + 598, -b*u + 1596 = 5*n + 122. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 5:57 AM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -122620 + -5?\nAnswer: -122625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -8*f. Let x(y) = -3*y. Let v(r) = 3*n(r) - 7*x(r). Let p(t) = 5*t. Calculate p(v(s)).\nAnswer: -15*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 5) + -10 - -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34354 or 858818\/25?\nAnswer: 858818\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -59*b**6\/2 - 161*b**3\/3 - 4*b - 532. Find the third derivative of k(j) wrt j.\nAnswer: -10620*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34058349373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1578 and 31282009.\nAnswer: 187692054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27 or -23?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 514 times 173\nAnswer: 88922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37393900 and 160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*j**4 - 6*j**4 + 17*j**4 + 2 + 2*j**4 - 2 + (j**2 + j**3 - j**2)*(4*j - 3*j - 2*j) as o + c*j**4 + m*j**2 + u*j**3 + l*j and give c.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -3*n + 4. Let i = 8 - 5. Calculate the remainder when n\/10 - 168\/(-20) is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23026 is divided by 64.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -66944390 to the nearest one million.\nAnswer: -67000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -865 - 115. Let b = t + -94. Suppose -b - 61 = -o. List the prime factors of o.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 73 = -9*g, -1436*g = 4*k - 1433*g - 13 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/3 + 0)\/(-1). Calculate the lowest common multiple of 42 and (-12)\/4 - c - -70.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, 0.05, 2, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-12)*(-9 - -15).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9255067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirteen fifths of a kilogram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 11:45 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*l - m, -176*m = -l - 182*m - 24 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39231 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4093883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*n + 2 - 10*n + 40*n to the form j + s*n and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13374 is divided by 170.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 3*w - 5*k + 15, 3*w = -k - 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {s: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + 5*l + 6. Let v be u(6). Suppose v*d + 25 = 5*d. Suppose 3*j + m - 10 + 1 = 0, -d*j = 4*m - 15. Does 3 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 1. Let t(p) = p + 6. Let w(u) = 3*g(u) - t(u). Let l(o) = 2*o - 13. Let m be l(9). Suppose 2*d + 3*c - 27 = m*d, 3*d - 1 = -4*c. Calculate w(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/204064 and -10\/70147.\nAnswer: 2244704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/12)\/(12\/24).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000008754 to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1012580 rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g*g**(1\/15))\/g)*g*(g\/g**(2\/25))\/g)\/((g**(2\/19)\/g)\/((g**7*g)\/g)) assuming g is positive.\nAnswer: g**(13891\/1425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 226618.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 20, 49, 84, 125, 172?\n\"Answer: 3*i**2 + 20*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 41 (b) -17 (c) -4 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0018721158 to 6 decimal places.\nAnswer: -0.001872","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(44)\/sqrt(4)) + -2.\nAnswer: -2 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 233413 - 223?\nAnswer: 233140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/753? (a) -20 (b) 11 (c) -0.2 (d) -1 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21318122\/43 or 495770?\nAnswer: 495770","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 280\/105*30\/20\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -106*u + 109*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u - 3*m + 24, -u + 253*m = 249*m + 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/10*(0 - 225\/(-30)). Solve 5*t + 13 = d + 12, a = 3*t + 3*d for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 times -133267?\nAnswer: 1199403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-8) - 14\/(-4). What is the second derivative of 0*r + 0*r - n*r - 2*r + 3*r**5 wrt r?\nAnswer: 60*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1205.00519 - -1205. What is i rounded to 4 dps?\nAnswer: -0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - ((22 - 20) + -10).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + r + 22 = 0. Suppose 2*k - 63 = 107. Suppose -a = r - k. Is 21 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 322 = 5*o - 310, -r = 4. Suppose 0 = 4*n - 0*n - o. Does 16 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of 17*y**4\/2 - 15*y**3\/2 - 2*y + 15. Find the second derivative of q(w) wrt w.\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 39.3 and -73904.\nAnswer: -73864.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16511 is divided by ((-1311)\/(-38))\/(25\/(-20) + 2).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 1 + (-3 + 2 - 2)*(108 - 1 + 70))*(-2*o + 5*o - 2*o).\nAnswer: -534*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/62 + 154389\/2107070\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, x: 4, q: 1, f: 6}. Give prob of picking 4 x.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 18\/7, -231, -31, 4?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 17 (c) -0.15 (d) 14 (e) 3\/4 (f) 9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 45553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-4267)\/(-572) + (-10)\/(-65) + -7 and 23\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 148*v - 4808. Calculate o(100).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.1, 2\/7, 5, -2, -974, 15?\nAnswer: -974","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1911?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -294.\nAnswer: -294, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 3*r - 8 - 6, -l + 2*r = 14. Suppose 1 = 16*n + 113. Let t = n - l. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 57 = -45*y + 42*y, 0 = 4*y - 4*i - 12. Calculate the remainder when 2563 is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 193.58 minus 105.5462821?\nAnswer: 88.0337179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7113324 to the power of 1\/2, to the nearest integer?\nAnswer: 2667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, l: 1, h: 1, p: 2, b: 2, n: 1}. What is prob of sequence bnb?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -619992*f**3*g - 3*f**3 - 2*f*g - 221*f - 3*g wrt f.\nAnswer: -3719952*f*g - 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 + 29. Calculate the greatest common divisor of t and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -229.7 - -220. Let k = x + 14.7. Which is the biggest value? (a) 3\/2 (b) k (c) 0.7 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8970, 0, -582, 9.\nAnswer: -582, 0, 9, 8970","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 296*p - 64*p + 76*p + 3*p - 3*p - 2*p + 0*p - p + 0*p + 2*p + 3*p - 3*p + (3 - 4 - 1)*(0*p + 0*p - 2*p).\nAnswer: 311*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 5962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -356*x + 667.\nAnswer: -356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2571*4612.1.\nAnswer: -11857709.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**2 + 3. Let r(f) be the second derivative of -2*f**4\/3 - 428*f. What is y(r(v))?\nAnswer: 128*v**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 7*l - 5. Let k be a(2). Let t be (3\/k)\/((-1)\/(-12)). Solve 5*r = -5*z - 30, r - 24 = t*r + 5*z for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 19.6835184ns?\nAnswer: 0.0000000000002278185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h - 3. Calculate x(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 0*s = -s - 55, 0 = -2*s + 10. Solve -6 = 3*b + x, i = -0*x + 4*x for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4437171553?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-four fifths of a litre?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-79152)\/(-323204)*(-2)\/6*-14?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*b - 17*b. Suppose 0 = 5*s - 2*y - 120, b*s + 3*s - 2*y - 72 = 0. Is s a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - 2) + 2 - (-13 - -6). Suppose -14*p + 115 = -q*p. What is the greatest common factor of p and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2944 and -0.05?\nAnswer: 2943.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 78335165 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5 + 4 = 0. Suppose 0 = -k*o + 6. Suppose 5*p - 79 = 3*q, -p + o*q - 6*q = -2. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1490382 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 28*o**2 + o - 28. Let w be t(28). Which is the closest to 0? (a) -2 (b) -4 (c) 1\/4 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*c*f**3 - 3659*c*l - 399*f**3*l - f**2 - 6*f wrt c?\nAnswer: 3*f**3 - 3659*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/348 and -59\/65040.\nAnswer: 1886160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1174696090 to the nearest 1000000.\nAnswer: 1175000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - o**2 - 3*o + 33. Calculate the remainder when b(0) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*n + 52 = 20*n. Solve -m = 3*q - 2*q - 5, 2*q - n = -3*m for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.07 - -0.43. Let j = h + 1. Let l = j + -1.482. Round l to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 73 divided by 5\nAnswer: 73\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -2*l - 2326, -5*l - 9 = 1. What is the hundreds digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -4433*v + 77. Suppose 13 = -3*x - 0*u - u, 3*u - 21 = 3*x. Let i(h) = -286*h + 5. Let a(b) = x*w(b) + 77*i(b). Is a(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a kilogram in grams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -284? (a) -0.08 (b) 0.3 (c) 0.09 (d) -0.4 (e) -5 (f) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 315 times 0.06\nAnswer: 18.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 6 - 16 - -8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2*r - 12 = 2*r, 4*z - 3*r = -35. Let i = -4 - z. Suppose -13 = -3*h + i*k + 12, -2*h = -2*k - 18. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -2 + (-1*-6*(sqrt(1872) + sqrt(1872) + 2))**2.\nAnswer: 3456*sqrt(13) + 269711","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 183 + -211. Let z be r\/6 - (-54)\/81. Suppose -g - 2*j = -7, 3*j + 7 = -5*g + 7*j. Sort -11, g, z in ascending order.\nAnswer: -11, z, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 5*k = 5*t + 40, -25 = -3*k + 2*t for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.053205 nanoseconds to minutes.\nAnswer: 0.00000000040088675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -5*v - 70, -2*w - 35 = -w + 2*v. Let f = w - -174. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(0 + 332\/8). Let d = 214 + k. Suppose -5*a + 427 - d = -3*r, -5*a = 5*r - 280. List the prime factors of a.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/8))**(1\/3)\/(f*f**(1\/4)*((f\/(f*(f*f**(-1\/9)\/f)\/f*f)*f)\/f)\/f*f*f))**(-23) assuming f is positive.\nAnswer: f**(3841\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1611 less than -26642122?\nAnswer: -26642123.1611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 89173, 89257, 89327, 89377, 89401, 89393?\n\"Answer: -i**3 - i**2 + 94*i + 89081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*w + 260*w**3 + 15*w.\nAnswer: 260*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1744, -6929, -15560, -27631, -43136?\n\"Answer: v**3 - 1729*v**2 - 5*v - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6e7 - -1?\nAnswer: -6e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50739979, -101479959, -152219939, -202959919?\nAnswer: -253699899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/750 and ((-6)\/3 - -7) + 122\/12?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put -42, 0, 18, 3, -78, 2, -101 in ascending order.\nAnswer: -101, -78, -42, 0, 2, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 1\/12, -33?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, j: 1, b: 2}. Give prob of sequence bt.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40288526*c**3*r**3 - 7104*c**2*r**2 - 3*c**2*r - c*r**3 + c + 90*r**3 wrt c.\nAnswer: 241731156*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) -3 (c) 3457 (d) 0.1 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -0*q + 16. What is the first derivative of -12*s**4 - 29 - s**4 - 9*s**q wrt s?\nAnswer: -88*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/62881331?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -7*j - 301*v + 300*v + 71, -5*j + 35 = -5*v for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 2*r - 20. Let z be t(6). Let l(c) be the second derivative of 1\/42*c**z + 2\/21*c**3 + 0*c**2 + 3*c + 0. Suppose l(g) = 0. Calculate g.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.428 times 68\nAnswer: -165.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*b + 36*b - 49*b)*(-b + b - b**2)*(-2*b + 0*b + 5*b).\nAnswer: 96*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-32665)\/799 - 1*(-2)\/(-17). Let b = f + 125. List the prime factors of b.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 804.9 and 15003733256.\nAnswer: 15003734060.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3813531729 to the nearest integer?\nAnswer: 1562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n\/n**(5\/6)))*n)**(-15\/11)\/((n\/((n\/(n\/((n*n*n\/(n**(-4\/7)\/n*n))\/n*n)))\/n*n))\/(n*((n*n**(2\/25))\/n)\/n)) assuming n is positive.\nAnswer: n**(4083\/3850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 100 + -32. Suppose d + 4*f = -26, -797*f + 802*f = 5*d - 95. What is the remainder when s is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 5*o. Let i be (1*48)\/(-2)*(-2263)\/31. Let v(z) = -872 - 10*z**2 + i - 880. Calculate q(v(g)).\nAnswer: -50*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 22. Is (-748)\/h*22\/8 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 2*u - 12. Suppose 5*r + 0*l - 4 = 2*l, 0 = -4*r + u*l + 8. Suppose -3*i - 15 = r, 5*d + 4*i + 6 = 31. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c + 1. Let j be x(2). Suppose 0 = v + 5*h - 3, 4*v + 20*h - 15*h = 12. Solve -2*l - 30 = -j*d - 0*d, v = l + 2*d for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 380\/7 <= 54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -203312144?\nAnswer: 203312153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.038906 and -41.8636257.\nAnswer: -41.9025317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.039 + 0.03755. Round w to 4 dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*x**2 + 2832*x + 2828 = 0. Calculate x.\nAnswer: -707, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of j**3\/3 + j**2 + 2*j - 12. Give k(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30313107 (base 9) in base 12?\nAnswer: -4a4b48a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 60*d = 59*d + 2, -2*w + 3*d + 39 = 0. Solve 4*t + 3 = -5*j, 9 = -w*j + 7*j + t for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 428\/(-535) + 1\/(-5) - -2*3. Solve -4*d = -0*t - 3*t + 24, -t - 11 = m*d for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -h**3\/6 + 49*h**2\/2 - 286*h + 3. Give l(0).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**2 + 3*j + 15. What is x(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*j + 79*j = -21. Let c(t) be the third derivative of -t**6\/120 + 7*t**5\/60 + t**3\/3 + t**2. Let r be c(j). Solve 0 = -r*z + 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 877214 is divided by 50?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + -6. Let v = -9.2 - x. Sort -5, 3, v.\nAnswer: -5, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1272 - -689.8728. Let c = p + -691. What is the second smallest value in -0.2, -3, c, -4\/9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*s - 3895 - 1001. Calculate the remainder when s is divided by 17.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 319, 314, 309, 304?\nAnswer: 299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-1) + -5 + 13. Suppose a*j + 11 = 3*b, -j + 12 = 3*b - 4*j. Find the third derivative of -3*f**2 - 3*f**b + 9*f**2 + 4*f**5 - 4*f**5 wrt f.\nAnswer: -180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 + -101?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/(sqrt(6)*3))\/(sqrt(128)*-2).\nAnswer: -sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of s**4\/2 + 4*s**3\/3 - 2*s**2. Let r = 791 - 789. Let v be x(r). What is the greatest common factor of v and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 + 120 = 5*v - 2*p, -4*p - 110 = -3*v. Suppose 0 = -4*u + 54 + v. Calculate the smallest common multiple of 20 and u.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**7*m)\/(m*m\/(m\/(m*m**(1\/3)))*m))**(-32) assuming m is positive.\nAnswer: m**(-448\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -11*y**8\/336 + 47*y**4\/24 - 10*y**3 + 111. Let w(a) be the third derivative of b(a). What is the derivative of w(x) wrt x?\nAnswer: -220*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from akeajjkeeakj. Give prob of picking 1 k, 1 e, and 1 j.\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1309 and -0.94?\nAnswer: 1308.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1476)\/(-1107)*((-27)\/(-4))\/1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 12*h - 13 - 13 + 22 + 4*h - 6*h. Let u(z) = -z - 1. Give -f(i) + 3*u(i).\nAnswer: -13*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 9508784.\nAnswer: -3, 0, 9508784","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 AM and 2:18 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 2 (b) -4 (c) -0.01 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.083 to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 - 2 = -37*t + 54*t. Let b(x) be the third derivative of x**3 + 0 - 1\/24*x**t + 0*x + 5*x**2. Give b(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 - 17. Let d = -13 + i. Suppose 5*w - 9 - 36 = 0. What is the highest common divisor of w and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o + 12. Let s be m(4). What is the third derivative of -103*t**s - 40*t + 14*t**2 + 16*t**2 - 28*t**2 wrt t?\nAnswer: -2472*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 3.99. Let z = b + -0.41. What is z rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 41 + -24 + -28\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 575561 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**2 + 36*n + 264. Let l be o(-13). Suppose 36*g = 154 + l. What is the smallest common multiple of 104 and g?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-2)*0*26\/(-26).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10000 (base 2) to base 9\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z + 17. Let b be k(9). Let n = b + -7. Let j = 3 - n. Calculate the lowest common multiple of j and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 85 + -2 + (456 - 422)?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12823697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of -b**2 + 4. Let j(c) = -12*c. Give x(j(g)).\nAnswer: 24*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*x**3 - 11*x**2 - 3*x**3 + 9*x**2 + 2*x**2.\nAnswer: -21*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3469, -14192, -32179, -57430, -89945, -129724, -176767?\nAnswer: -231074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 530749691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1)\/(s**(-1\/5)*s))**(28\/5)\/((s\/(s*s\/(s\/s**(-1\/3))*s))\/s**5*(s*s*s**(-1\/3))\/(s\/(s**(-7\/3)\/s))) assuming s is positive.\nAnswer: s**(-131\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51.7 + -51.4. What is the closest to -1\/7 in 2\/3, o, 1\/7, 5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + -1*(2*(sqrt(2299)*-2 - sqrt(2299) - sqrt(2299)))**2).\nAnswer: 588556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 3:12 AM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 330 (base 7) to base 4\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 485 - 384. What is the derivative of -u*n + 99*n - 84 + 80*n**4 + 5 - 19 wrt n?\nAnswer: 320*n**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 30*i - 1. Let q(k) = -29*k + 1. Give -4*q(v) - 3*r(v).\nAnswer: 26*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u + 2 - u**2 + 14*u**3 + 0*u**4 + u**4 - 28*u**3 in the form n*u + f*u**2 + i*u**3 + g*u**4 + a and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 3) in base 7?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-8 + (3 - -4) + -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 3)*(1 - 3*i - 1)*(i - 4*i + 9*i).\nAnswer: -36*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14379018236552*q**2\/3 + 5362652*q\/3 + 1\/6.\nAnswer: (5362652*q + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 2*y = -3*g - 1, 2*g + 4*y = 6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -309 (b) 59 (c) -2 (d) 7\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.206863 rounded to 3 dps?\nAnswer: 0.207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 17344.966?\nAnswer: 52034.898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 213551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44 - -39. Let u(s) = -s**3 - 2*s**2 - 2*s - 4. Let j be u(-2). Which is the nearest to 2? (a) 1\/4 (b) h (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3510451 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 474 - 472.9. Let u = -9.2 - -8. Let w = r + u. Which is the nearest to w? (a) 4 (b) 1 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**2 + 3*u + 1329*u**3 - 1313*u**3 + 3*u in the form m + p*u**3 + x*u + n*u**2 and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**3 - 100*y**2 + 44 - 19*y + 100*y**2.\nAnswer: -2*y**3 - 19*y + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 57 + -37. Suppose -7*j = -2*j - 15. Suppose 0 = u - 0*s - j*s - 13, -2*u + q = -4*s. Solve u*d = -2*a + 6, 0 = 3*d - a - 6 - 11 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + 0. Suppose b + 6 = j*b. Let p = b - -80. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 23*w**3 + 17*w**2 + 56*w + 20. Let v(u) = -8*u**3 - 6*u**2 - 19*u - 7. Give 6*f(o) + 17*v(o).\nAnswer: 2*o**3 + 13*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9419\/5496 + -5\/916. Find the common denominator of d and 58\/(-240) - 32\/96.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1676*-36.\nAnswer: 60336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -360 and -37484?\nAnswer: 13494240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37.3 + -30. Let m = v + -7. Let n = 1565 - 1565. What is the closest to n in -5\/2, -1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.3? (a) 0.03 (b) 1 (c) 8 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -7 (c) 18 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 253 = -0*v - a, 0 = -v + 5*a - 121. Let h be 2\/6 - v\/27. Suppose 4*t + 138 = -0*k + 5*k, -h*k - t + 128 = 0. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 32.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7469 and 142299?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-11))\/((-8)\/16).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + p - 8 + 3 = 0, 27 = -n - 5*p. Let l = 3 + n. Which is greater: 1\/3 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 33*d + 38 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -76 + (-13 + (-22 - -25) + -12 - -11).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.02, -3\/8, 40?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2919597450?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -151070 to the nearest one thousand.\nAnswer: -151000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -72 - -140. What is the remainder when a is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9\/6)\/((-1)\/(-2)). Find the second derivative of 5*h**3 - 2*h**3 + 4*h - h**b wrt h.\nAnswer: 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -10*d - 14. Let w(b) = -2*b - 3. Let u be (-2)\/(-9) + (1746\/(-81)*-1)\/2. Calculate u*w(i) - 2*v(i).\nAnswer: -2*i - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1067763625?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 140 - 1*(0 - 0). Suppose -48 = -4*o - 3*q, -29 = -5*o + 3*q + q. Suppose o*d = 5*d + l. What are the prime factors of d?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t - 9. Let j(r) = -r**3 + 12*r**2 + 13*r. Let y be j(13). Suppose 7*l - 5*l = y. Determine p(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -70*r + 68*r. Let h be (0\/1)\/((-4)\/r). Suppose -13*l + 8*l - 30 = h. Sort -1, l, 0 in increasing order.\nAnswer: l, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 10 - 3*t - 5 + 2*t. Suppose 2*x = -4*k + 10, -k = x + 2*x. Let m be ((-4)\/x + 1)*1. Calculate v(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 280 and 6020?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -b + 3*c, b + 0*c = 2*c - 7. Let q = 7 - b. Is q a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 490828, -2\/3, 1\/7?\nAnswer: 490828","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18*t**4 + 5*t**2 + 2299*t - 145662105 wrt t.\nAnswer: -72*t**3 + 10*t + 2299","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 3*z + 1. Let c be m(3). Let s(b) = 0*b + 2*b + 5 + c. Give s(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10 + -11 - (-725 - (3 + -2)).\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4259 - -4319. What is the greatest common divisor of t and 2850?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.48, 3, -1\/4?\nAnswer: 0.48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 805 is divided by 56.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 201804413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/4, 0, 4\/57, 0.5, 4\/773?\nAnswer: 4\/773","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from asaapppaapdad. What is prob of picking 1 p, 1 a, and 2 d?\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - -9. Let z be (q\/3)\/(8\/(-12)). Let x(o) = -o + z + 2 + 5 - 4. Give x(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -11\/3. Let z = -3010\/11 - -274. Which is bigger: z or b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 467102 = x + 797097, 4*v = -4*x - 2528396. What is v rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*g - 30*g + 50 = -5*g for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k = 21*k + 12000. Round k to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 2 (b) 0.5 (c) 3 (d) -2\/251\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 75637710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -5, -16 in descending order.\nAnswer: 1, -3, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/15 - (-2992)\/(-20). Let b = -91 - u. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40142879 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 72*o**3 + o**2 - 40*o + o - 3*o**2 wrt o.\nAnswer: 432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2151931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2145 (base 7) in base 11?\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -409778544 divided by -115626?\nAnswer: 3544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1 + -1 + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61 - 14 + 2)*(-5 - 2 - 1)*(3 - 3*m + 1 + 4*m + 0*m - 2*m + 0*m + (0*m + m - 2*m)*(-3 + 4 - 2) + 2*m + 0*m - 4*m).\nAnswer: 784*m - 1568","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -3 (b) 6\/13 (c) 3 (d) -1\/2 (e) 85\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + k. Suppose 0 = -4*a + 17 + 7. Let l(b) = -2*b**3 + 7*b**2 - 6*b. Let m(z) = a*y(z) + l(z). What is the third derivative of m(c) wrt c?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 3:14 AM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -41237 - 114?\nAnswer: -4134b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 580709869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/sqrt(2) + 3 - (sqrt(6)\/sqrt(3) + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/((-392)\/21))\/(2\/(196\/2))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8114878.\nAnswer: 2, 193, 21023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**3 + 67*j**2 - 790*j + 225. Determine k(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.41 - 0.11. Let t = i - 0. Let y = -90\/13 - -321\/52. What is the second biggest value in 3\/4, y, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2903*t**2 - 11*t - 7. Let p be x(-4). Let i = 57515 + p. What is i rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-10) + (-21)\/70*-34. Solve -15*g + h*g - 8 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 7*t**2 + 5*t - 2. Let b be z(-6). Suppose 13 = -4*s + m + 49, -b*s - m = -36. Calculate the highest common factor of s and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-2*(-4 + (5 + sqrt(832) + 4 + sqrt(832) - -4*(sqrt(832)*-1 - sqrt(832)))))**2)*6.\nAnswer: -11520*sqrt(13) + 719454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -721.34464 to 1 dp.\nAnswer: -721.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14\/(-2)*(-2)\/7 - 2. Solve -2*g - 2*f + 3 - 17 = 0, 5*g - 3*f - 5 = h for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72 and 108?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + 0 + 1 + 6\/(-17)*(-3961)\/699.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 309279817?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -41*d**4 - d**2 + 69*d + 2. Let q(c) = c**4 + c**2 + c - 1. Let k(j) = 4*q(j) + w(j). What is the second derivative of k(z) wrt z?\nAnswer: -444*z**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 3 + 287. Let r = -56 + j. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 2, 5, -2, -60 in increasing order.\nAnswer: -60, -2, -1, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5*(-13 - (10 + -26))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 - -34. Solve -o - 2*o = 6, 0 = 4*u - j*o - 24 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a - 2172 = -700. What is the greatest common divisor of a and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f*f**10\/f*f*f)\/f*f)\/f**(-8\/5)*(f**(-6)\/f)**16)**17 assuming f is positive.\nAnswer: f**(-8279\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 84*f**3 - 3*f**2 - 2*f + 13. Let l = 381 + -379. Is m(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1826 and 7?\nAnswer: -12782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 41111 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 3\/7, 6\/5, 0.3, -6?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 577*f + 563*f - 1139*f. Let h(q) = 6*q**2 + 3*q - 3. Give -h(x) + 3*j(x).\nAnswer: -6*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -20576055 divided by -615?\nAnswer: 33457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnx when three letters picked without replacement from xxnnx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/70 and -21\/8630.\nAnswer: 60410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.121 * -26.4.\nAnswer: -3.1944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -496 = -4*x + r, 4*r = -0*x - x + 107. Suppose -2*l + d - 87 = 4*d, 0 = -3*l - 2*d - x. What is the units digit of (2\/((-4)\/6))\/(l\/52)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/1395954 and 95\/620424?\nAnswer: 5583816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wvvvvaaaaavavaa. What is prob of picking 2 a and 1 v?\nAnswer: 24\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 622996318?\nAnswer: 2, 7, 44499737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 476327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6171, 6085, 5985, 5865, 5719, 5541, 5325, 5065?\n\"Answer: -t**3 - t**2 - 76*t + 6249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1569 (b) -5 (c) 1 (d) -1 (e) -0.1 (f) 1\/12 (g) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 340 (base 12) in base 14?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 357 a factor of 33915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**(-3\/5)))\/b**11)\/(b**(-33)\/(b*(b*b*(((((b\/b**(-22\/9))\/b)\/b)\/b*b)\/b)\/b*b)\/b)) assuming b is positive.\nAnswer: b**(1127\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*d**2 - 4*d**2 + 6*d**2 + 9.\nAnswer: 12*d**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 264 - 6*r**3 - 9*r**2 + 80*r**2 + 392*r + 4*r**3 + 0*r**3 + 55*r**2 = 0. What is r?\nAnswer: -2, -1, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00226026894 to five dps.\nAnswer: 0.00226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -27*d - 346. Is u(-25) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(88) - 1*sqrt(88))\/sqrt(8) + sqrt(11)) + ((sqrt(539) + 1)*1)**2 + 1 + sqrt(132)\/(sqrt(24)\/sqrt(2)) + -4*(sqrt(44))**2.\nAnswer: 18*sqrt(11) + 365","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -719d42 (base 15) to base 9.\nAnswer: -11138778","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*y = 6. Let w = y - 0. Let p = w - -3. Put 5, -5, p in descending order.\nAnswer: 5, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 1. Let b be a\/(-3) - 10\/(-3). Let i = 25.04 - 25.1. What is the second smallest value in i, b, -0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1, 1\/61, -2\/9, 33?\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 960.4 + -960. Sort 4, g, 50\/21 in increasing order.\nAnswer: g, 50\/21, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6 + -3 + -2)\/(-1)*0. Solve s = -3*t - 2*a - 13 + 3, 0 = 3*t + 3*a + 15 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 0, 5*k - 1 = -3*i + 17. Factor g**3 - 2 + 3*g + 4*g**3 + 3*g - i*g**2 - 3*g**3.\nAnswer: 2*(g - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 32 = -4*g, -4*g = 2*k + 3*k + 8. Let f = 6 - g. What is the greatest common divisor of 3 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -5*j**4 + 5395*j**3 + 32510*j**2 + 43400*j = 0?\nAnswer: -4, -2, 0, 1085","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - -14)*-2*9\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 376 = -l, 0 = 2*z - 3*l - 138 - 64. What is the remainder when z is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -142 - -110. Let y = 86 + o. Let q(c) = 4*c**2 - 7*c. Let n be q(-5). Calculate the highest common divisor of n and y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((837\/(-18))\/(-31))\/(63\/24) - 58\/175.\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -984 (base 13) to base 7.\nAnswer: -4515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, 3, 5, -1.7 in increasing order.\nAnswer: -1.7, 1\/6, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + 124?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*6*(-2*(4*(sqrt(1872)*-1 + sqrt(1872)) - (-4 + 1 + sqrt(1872)))*-3)**2*6.\nAnswer: -14626656 + 559872*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3\/4, -22, -3\/7, -3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.3 - -7. Let v = p + -1. Which is the smallest value? (a) v (b) 0.1 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101101111100 + -10111101?\nAnswer: 101010111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 232 and 2320.\nAnswer: 2320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.035, -1, 0.02, 5, 18?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 4*u + 8, -n = 9*u - 5 - 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*a**3*r - 177*a**3*u**3 + 3*a**3*u**2 - 3*a**2*r*u**3 + 2*a*r*u**2 - u**4 wrt u.\nAnswer: -1062*a**3 - 18*a**2*r - 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1494965009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-25)\/(-5) - (0 - 2). Is 0 less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124857630\/11 greater than or equal to 11350695?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s**2 - 3*s**2 - 3*s**2 - 10*s**2.\nAnswer: -22*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 684 = -7*k. What is the lowest common multiple of k and 6?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-8)\/20) + 11 + 1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (2 + 7 - (19 + -11 - -6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 850469753?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 5*r**3 + 9*r**2 + 16*r - 6. Let a(h) = 11*h**3 + 20*h**2 + 31*h - 13. Calculate -6*a(t) + 13*u(t).\nAnswer: -t**3 - 3*t**2 + 22*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6740?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17699466, 17699460, 17699450, 17699436, 17699418, 17699396?\nAnswer: 17699370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -30, -2\/3, -1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ix when two letters picked without replacement from iipxpixxiixiixi?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4520490495?\nAnswer: 3, 5, 23, 13102871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 2*n - y = 8, 5*y + 17 = 2*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1640 + 4240. Suppose 0 = 36*c - 41*c + u. Suppose 130 = -5*d + c. Is 13 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(1\/5)*s**4\/s assuming s is positive.\nAnswer: s**(16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1265*q - 32 = -1267*q - 2*c, 5*c - 76 = -3*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 2*m + 5, -186*o = -188*o - 5*m + 19. What is the nearest to -1 in 3, o, 15\/107?\nAnswer: 15\/107","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*z - 259 - 1717. What is the highest common divisor of 38 and z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 232 + -103. Let g = 256 - f. Suppose -5*n = i - 98 - g, -4*i + 210 = 5*n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/7, 16\/7, -15, -1\/4, -5\/2, -4, 1\/3?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 235.016311 to the nearest integer.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1381*v**2 + 584*v**3 + 1381*v**2 - 5*v**3 + 3*v**3 + 3*v**3 + (0 - 2*v + 0)*(-3*v**2 + 3*v**2 + v**2) + v**2 - v**2 - 2*v**3.\nAnswer: 581*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 63 - 63. Suppose -2*d + d + 3 = y. Suppose -7*i = -d*i. Solve 3*q - 5*f + 0*f + 1 = i, 0 = q + 4*f - 11 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.27 and -1047978401462.\nAnswer: -1047978401461.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 585 and 4104855.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 658750 and 323.\nAnswer: 12516250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4110 divided by -5?\nAnswer: 822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 6:31 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*i - 1368 = -79*i for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2*3\/(-60)*(-105)\/(-14)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -14*g + 150 - 10*g + 20*g - 32. What is the remainder when b(-10) is divided by 42?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 x, 1 q, and 1 l when four letters picked without replacement from qqwxwkllqxllxqkk.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12653 (base 7) to base 11.\nAnswer: -2629","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 73, 2, -2.\nAnswer: -2, 2, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*s + 26*s - 63 = 0. Solve -s + 5 = 4*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6 - -12) + -1 + 0. Suppose 10*p + 15 = 9*p - 3*s, w*s + 25 = -2*p. Let c(v) = v - 3. What is c(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 PM and 9:06 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 2*j - 3 - 4.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9672 (base 11) in base 8?\nAnswer: 30760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 3. Suppose 24*v + 160 = 34*v. Suppose f = -s + 2, 6 = -15*f + v*f + 5*s. Solve 3 = -z*t - f for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = f - 1765. Let n = f - 3465\/2. Let m = n - 32. Which is the nearest to m? (a) -1 (b) -0.2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/320 and -15\/64.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**2 - 2*h**2 - 41 + 45.\nAnswer: -h**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (10\/4)\/((-9)\/(-270)) is divided by 3*19\/6*2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(18\/(-8) + (3 - 1)). Suppose -4*h + 4 = -3*k - 3, 4*k + h - a = 0. Solve 8 + 7 = -k*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -6*s**3 + 33*s**2 + 188*s - 62. Give r(-4).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (70 - 62) + (-15 - -1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, 1\/7, 0.05, -5\/2, 8\/3?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 54 + -39. Suppose 0*k - i = -5*k. Solve -5*x + 4*x - 13 = k*d, -x - 1 = -d for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/23, -1, 4, -3.2?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 276793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (1 + (8 + 2 - 5 - 3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 17. Let x(j) be the first derivative of j**4\/4 + j**3 - j**2\/2 + j - 5. Give x(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - 4*m**2 - 3*m - 3. Let f be b(-3). Let t(j) = -j**2 + 10*j + 54. Let g be t(-4). Which is smaller: g or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 339.545 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2997, 2999, 3011, 3039, 3089, 3167, 3279, 3431?\nAnswer: 3629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 44455 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -2\/17, 5, -1, -3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((sqrt(2430)*-1 - sqrt(2430))\/sqrt(6)*3 + 4*(sqrt(25) - (sqrt(25) - 1*sqrt(25)) - sqrt(25))\/sqrt(5)*-6)*3)**2.\nAnswer: 131220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 5648*g**3 - 5 - 101 + 56 + 48 as m*g + z + f*g**3 + l*g**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 4:39 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) - sqrt(104)*2)*6)\/(sqrt(8)*-1*2) - (sqrt(1573)*-2*2 + -5).\nAnswer: 5 + 47*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1251955 - -1252242. Let a = 61 - 29. What is the remainder when f is divided by a?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, y: 6, c: 2}. What is prob of sequence ccy?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1056 - 3941 + 10476 + 5445 + 10182 + 8259)*(2*y**2 - 2 + 2).\nAnswer: 58730*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of -c**6\/1080 - 5*c**5\/36 - 625*c**4\/72 - 11*c**3\/3 - 161*c**2. Let z(o) be the first derivative of r(o). Factor z(p).\nAnswer: -(p + 25)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 556 - 2*c**3 + 3*c**3 - 499 - 3*c**3.\nAnswer: -2*c**3 + 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 4*w**2 - 3*w + 1. Let v be q(2). Let f be (36\/v)\/4 - 0. Let p = -1018 - -1020. Solve -f*a = -p*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 112.6 - 736182.\nAnswer: -736069.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, 1\/261, 16, 1\/6 in descending order.\nAnswer: 16, 1\/6, 1\/261, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**3 - 457*q**2 + 1286*q**2 - 343*q**2 + 1369*q**2 - 4*q + 1256*q**2.\nAnswer: 2*q**3 + 3111*q**2 - 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-226)\/(-280) + 4 + -4. Let t be 2*((-68)\/(-70) + -1). Let b = t + k. Which is smaller: 0.1 or b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9019 (base 14) to base 10.\nAnswer: -24719","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.0764 + -0.0764. Let s = -0.1 + 0.5. Sort -3, s, n, -2.\nAnswer: -3, -2, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-229 - 4*x + 2*x + 8)*(2*x + x + x).\nAnswer: -8*x**2 - 884*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -166\/3 - -56. Let k = -14622 - -102352\/7. What is the nearest to -0.1 in k, c, 0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10223 (base 5) in base 8?\nAnswer: -1260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + v**2 - v**2)*(-4*v**2 + 3*v**2 + v**3 - 13*v**2).\nAnswer: -2*v**5 + 28*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1111 - -1118. Let o = -17 - -40. What is the remainder when o is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a microgram in nanograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80 and 2508080.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/605 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 401979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, i: 3, x: 7, l: 1, w: 2}. Give prob of sequence iln.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -19, -15, -25, -55, -111?\nAnswer: -199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z - 2*z + 3*q + 2, -3*q = z - 10. Let o(y) = -4 + z + y. Let h(t) = -6 - 322*t + 6 + 323*t. Calculate h(o(n)).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 1:11 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 55*b + 102. Is m(11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36*g**5 - 3*g**4 - 4*g**3 + 23082*g**2.\nAnswer: -2160*g**2 - 72*g - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*w - 59*w + 77 = -84 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 + 5.1. Let k = 173 - 175. What is the nearest to k in 0.4, u, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (25\/2)\/(2\/(-4)). Let g = x - -44. What is the greatest common divisor of g and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/3))**7\/((c\/(c\/((c*c**(-2\/7))\/c)))\/c*(c\/c**(-1))\/c))**2 assuming c is positive.\nAnswer: c**(110\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211262935.\nAnswer: 5, 13, 23, 251, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1323*u**3 + 1302*u**3 - 2620*u**3.\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.8862 or 0.19?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -5612*r + 3297*r - 6736*r in the form k + z*r and give z.\nAnswer: -9051","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1287*s + 398*s**3 - 3*s**4 - 4*s**4 - 397*s**3 - 100*s**5 - 1016*s - 119*s wrt s?\nAnswer: -2000*s**3 - 84*s**2 + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + 3. Let q = u + -3. Let w be -1 - 15\/(-3) - -1. Solve z - w*z + q = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5297200 rounded to the nearest one hundred thousand?\nAnswer: 5300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 237843138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*(l*l*l**5)\/l*l*l*l*l**(-9)*(l**(8\/3))**(-28) assuming l is positive.\nAnswer: l**(-221\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 8:31 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 451 is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -6*o - 4*l, 19*o - 15*o - 4*l - 16 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2358351 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 6, -824.8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 6) + -2 - -1. Let w be (-1 - -8) + (12 - 13). Let f(p) = -3 + p - w*p**2 - 5*p + p - 2*p - p**3. Determine f(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, g: 1, y: 1, k: 2}. Give prob of sequence yz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q - 7. Let m be c(-9). What are the prime factors of 2 + (m + 0 - -14)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*s**4*y - 2*s*y**3 + 23*s + 9*y**3 wrt s?\nAnswer: 28*s**3*y - 2*y**3 + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.32 + -2.5. Let v = 0.15 + 0.15. Let x = v + l. Round x to one dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34843 - 1463303\/42. Calculate the common denominator of -121\/10 and g.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110266626.\nAnswer: 2, 3, 18377771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 79*d - 106*d + 12104181. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*k**4*n**2 - 3*k**3*n - k*n**2 - 51*n**2 wrt k.\nAnswer: -36*k**2*n**2 - 18*k*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 56589?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 803744596.\nAnswer: 2, 67, 2999047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 61904 and 2438?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (328\/(-656))\/((-3)\/192*1).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l + 15. Let v be (-2 - -12 - 2) + (-3 - 1). Let i be k(v). Solve -5*j = 3*r + 31, -3*j = 2*j - r + i for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(2\/15)\/u*(u*u**(-4\/5))\/u)\/(((u*u*u**(-3\/4)*u)\/u)\/(u*u\/u**2)))**(1\/17) assuming u is positive.\nAnswer: u**(-23\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2d04da - -6?\nAnswer: -2d04d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/9 + (-10)\/6. List the prime factors of a + 3 + -1 - -26.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -10*q + 12. Solve q*o + 0 - 2 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22286236799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*g + 21. Suppose g*p + 6 = -4*c, -c = 5*p - 2*p + 5. Let w be 9\/p*3\/18. What is the biggest value in -2, w, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.075 (b) 139 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, u: 4, n: 2}. What is prob of sequence wwn?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*f - 203*f + 21*f - 167*f.\nAnswer: -434*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12\/7 + 36\/7*i**3 + 60\/7*i**2 + 8\/7*i**4 + 44\/7*i.\nAnswer: 4*(i + 1)**3*(2*i + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 3:03 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mqacaaazz. What is prob of sequence qcz?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d - 299 - 15281*d**2 - 81469*d**2 + 305. Let b be s(-2). What is b rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21126 - -21128. What is the smallest value in u, -4, 582, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 3080 - 169*m - 1664 + 170*m.\nAnswer: m + 1401","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 6)*(2*h + h - 6*h)*(2 - 1 + 1).\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50846?\nAnswer: 2, 25423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 847 is divided by 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4241953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 36 = 3*v. Let k = 71 + -66. Suppose -2 = k*s - v. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 10*y + 12. Let d = -8 + -1. Let n be o(d). Find the third derivative of -2*r**3 + 2*r**2 + 0*r**n - r**3 - r**2 wrt r.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-9\/5)\/(t\/t**(-46)))\/(t**(2\/27)*t**(-3\/31)))**(-1\/41) assuming t is positive.\nAnswer: t**(204133\/171585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4904832?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -1120000 to the nearest 10000.\nAnswer: -1120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a**3 - 3492*a**2 + 10504*a - 7008 = 0.\nAnswer: -876, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204)*5 + sqrt(204))*1 - sqrt(204) - 2*(sqrt(204) + 3*sqrt(204)))\/((sqrt(1452)*-2 - sqrt(1452)) + sqrt(300)*-1).\nAnswer: 3*sqrt(17)\/38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by 9.\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 69377 and 45458?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, v: 3}. What is prob of picking 3 v?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.02 - -0.02. Let k = 38.613 + -38.533. Which is the closest to -0.1? (a) v (b) 4\/5 (c) 2 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257768974?\nAnswer: 2, 128884487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.4804 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 240, 292, -36, -924, -2552, -5100, -8748?\nAnswer: -13676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -2444514?\nAnswer: -2444510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -995596, -995591, -995586, -995581, -995576?\n\"Answer: 5*f - 995601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 5*d + 46, -634*i + 631*i = 4*d - 100. What is the smallest common multiple of 6 and i?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 * -604.\nAnswer: -6.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2533397624 - 5.3.\nAnswer: -2533397629.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**2 - 12*l**2 + 2*l**2)*(3*l - 3*l - l**2).\nAnswer: 14*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4230 = -79*l - 3677 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 46 + -4 + (1 - 1). What are the prime factors of 26*1*w\/28?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -11*w**2 + 88*w + 13. Let b be i(8). Suppose q + 0 - 24 = 0. Suppose -2*a - q = -2*l, -3*l + 4*a = 3*a - 38. Are l and b unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.606 to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*b = 25*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -9\/15056?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3461.9 rounded to the nearest 100?\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z + 3 = -10*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 86\/(-4) + 4\/8. Let i = 16 - p. Is i a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1476 + -1357.8. What is m rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*r + 22*r = -23*r - 6*v + 30, 26 + 27 = 12*v - 12 + 5 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2298077280 to the nearest integer?\nAnswer: 1320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 9*a**2 - 9*a - 2. Determine n(10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30044149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77, 188, 305, 428, 557, 692, 833?\nAnswer: 980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*f + k + 15 = 13*f, -3*k - 36 = -3*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.08 + -0.07999976. Let l = 1 + -1. Let p = l - w. Round p to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 at least 8498\/1507?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/1 + -5)*-10. Let x be (-634)\/(-10) - 8\/n. Let i be (-4)\/18 + 644\/x. What is the highest common divisor of 5 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (75\/400)\/(4 - (-1450)\/(-360)).\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4050 and 1080?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**2 + 54*m + 18. Let v be h(27). Calculate the highest common divisor of v and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 5*a**2 - a - 298. Let g be t(11). Solve -20*y + 57*y = -g for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0045929 rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one eighths of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 168689071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 7496*j**2 + 7487*j**2 + 7487*j**2 - 22471*j**2. Let k(z) = -641*z + 1. Determine c(k(o)).\nAnswer: -410881*o**2 + 1282*o - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14674 is divided by 1652.\nAnswer: 1458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 12*i**2 + 9*i - 3. Let b be w(4). Suppose b - 49 = 4*r. Let f be (2\/(-5))\/((-3)\/30). What is the highest common divisor of r and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnnvzmvhvnnnndvv. Give prob of picking 2 n and 1 h.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 366 divided by 122420\nAnswer: 183\/61210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 7*q**3 + 189*q**2 - q - 34. Give u(-27).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-10)\/(-20))\/((-2)\/(-156)). Suppose 0 = -5*r - f + 369. List the prime factors of r.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0773 - -13.9227. What is the fourth smallest value in -2, 2\/15, -3\/4, -3, p?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -338 - -348. Let u(t) = 2*t - l*t**2 - 2*t + 12*t**2. Let s(h) = 4*h**2 + 2*h**2 - 3*h**2. Determine s(u(i)).\nAnswer: 12*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10534 + 22364. Is o a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 8*h**2 - 10*h - 4. Let j be v(-7). Let o be (-3*j)\/(12\/8). Let g be (-17 + 14)*o\/6. Solve 5*r = 2*s + g, -2*s + 4*r - 1 = 13 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = 3*y + 2*s, -2*s + 7*s = -2*y - 23. Let r = -20 - y. Suppose -5*a = -5*g + 430, a - 339 = -r*g + 6*a. What are the prime factors of g?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00330363 to 5 dps.\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 61, 25, -149, -533, -1199?\n\"Answer: -12*l**3 + 3*l**2 + 39*l + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 5*j - 17 = 0, -9*j = 3*w - 11*j. Let f = 221\/335 + -4\/67. Do f and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away -453951.37?\nAnswer: 453950.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -2*p**2 + 894*p - 72760 = 0.\nAnswer: 107, 340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 112 and 287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 greater than -118718?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11\/5 (b) 1 (c) -0.1 (d) 2\/13 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30272 + 184653. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 18 = 78. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 10*w + 52. Let t be j(-9). Suppose 4*m + 119 = 359. Which is bigger: t or m?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-44)\/6)\/(32\/(-84)) and -2 + 676\/144*2.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25001 - 24886.889. Let m = 0.111 - r. Let i = 100.3 + m. What is i rounded to 0 dps?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41601*v + 100 = -41591*v for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2200\/2772 - (-4)\/(-7). What is the smallest value in -3, 2, 0, i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10\/103? (a) 1\/21 (b) -0.033 (c) -2\/5 (d) 45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30 - 123?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9199*l**3 + 3*l**2 - 10 - l + l + 6419*l**3 wrt l.\nAnswer: -16680","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 23862452.49 to the nearest ten thousand.\nAnswer: 23860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of 5*g**8\/84 + 16*g**7\/105 - 19*g**6\/30 - 14*g**5\/15 + 14*g**4\/3 - 16*g**3\/3 - 30*g**2. Find z such that k(z) = 0.\nAnswer: -2, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, -12, 3, -34.2 in decreasing order.\nAnswer: 3, -12, -33, -34.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -96 + 91. Let m = -57 + 54. What is the smallest value in -1\/3, x, 2, m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714624 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20278, 40540, 60814, 81106, 101422, 121768, 142150?\nAnswer: 162574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 2:34 PM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/((-240)\/18))\/(1\/(-20)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73 - 145 - 13*p**3 + 72.\nAnswer: -13*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 2:30 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w - 240 + 162 = -3*w for w.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 451 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 4*t**2 - 3*t**2 - 4*t**2. Let f(k) = k - 3. Let n be 6\/8 - 18\/(-8). Let b(o) = -o + 4. Let x(v) = n*b(v) + 4*f(v). Give q(x(r)).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 13) to base 16\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 20 (b) 3 (c) -2 (d) -6 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 + -2. Let x = -17 + j. Let d = 0.2 - 1.2. Which is the closest to d? (a) x (b) -5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k + 7 + 17 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (((-450)\/(-12))\/(-3))\/((-6)\/(-4)) and 79\/15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.265532089 to 4 dps.\nAnswer: -0.2655","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -66 or -1561\/24?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 5*k = 11 - 2, u - 4*k = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 99\/20 + -753\/140. Which is the closest to -1? (a) -0.3 (b) -2 (c) f (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -321 + 322. Suppose -5*w + 3*u - 9 = 1, -3*w = -5*u + 22. Which is the closest to z? (a) 0.4 (b) -8 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t - t + 3 + 8*t. Suppose 5*d - 23 = 2. Is 16 a factor of k(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3689, -7575, -11673, -15983, -20505, -25239?\nAnswer: -30185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 30*(-3 - (-2285)\/765). Let c = -349 + 350. Which is bigger: c or g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -705 - -849. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 + -6. Suppose h + 5*r - a = 0, -h - 9 = -5*r - 3. Let u = h - -26. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -240065835*k*p**2*t - 1141*k*t + 16452*k wrt p.\nAnswer: -480131670*k*p*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/15632 and -59\/139956?\nAnswer: 546948048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/14 + (-657)\/(-511).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -14, -1, -4, -211 in decreasing order.\nAnswer: -1, -4, -5, -14, -211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 15*f**2 - 12*f. Let g be y(-14). Let k = g + 83. What is the highest common divisor of 22 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -27?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 90 and 77768757.\nAnswer: 777687570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11235 is divided by 91.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-32)\/((r\/r**(-3\/28))\/r)*r**(-1\/82)\/r**(2\/5))**10 assuming r is positive.\nAnswer: r**(-186661\/574)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-10)*8*(-90)\/48)\/(11\/(-11)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19422 and 24339003.\nAnswer: 3237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7864, 16143, 25310, 35809, 48084?\nAnswer: 62579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/192*-8*-30.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 27*q**2. Suppose 3*b - 5 = -k, -2*b + 4*k + 14 = 3*b. Let x(t) = -19 - 6*t + 8 + 9 + b. Determine x(j(s)).\nAnswer: -162*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -4*c**2 + 5213240*c - 78197700 = 0.\nAnswer: 15, 1303295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 15*m + 10. Let k(j) = j**3 - 12*j**2 + 13*j - 7. Let w be k(11). Let g be i(w). Solve -5*s + g = -0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6856873 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of 0*d - 5\/24*d**4 + 0 + 1\/60*d**5 + d**3 - 5*d**2. Let z be o(5). Solve -3*r + 5*r = -z for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2227 + 2229. Which is the nearest to -0.1? (a) -0.3 (b) 0.31 (c) x (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -0.3351428?\nAnswer: 3.6648572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -82 + 85. Suppose p*m - 9 = -k, -5*m + m - 3*k + 7 = 0. What is the least common multiple of m and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*l**2*t + 12*l**2 - l*t**2 + 67*t**2 wrt l?\nAnswer: -4*l*t + 24*l - t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 bigger than -35800?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-87 - 8 - 31)*(0*c + 0*c - c**4) in the form w*c**2 + s*c + y*c**4 + o*c**3 + h and give y.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 18*b - 13*b - 5*b**2 + 4*b**3 + 10*b - 5. Is h(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -1 + 4*q + 558*q**2 - 1147*q**2 - 4*q + 588*q**2. Let n(k) = 6*k**2 + 1. What is 5*a(f) + n(f)?\nAnswer: f**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*u**2*y**2 + 2*u**2*y + u**2 - 1464*u*y**2 - 3*u*y + 44*y wrt y?\nAnswer: -4*u**2 - 2928*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fqttlllhcttq. Give prob of picking 1 t, 1 q, and 1 h.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21995610?\nAnswer: 2, 3, 5, 7, 13, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5209 + 46877\/9. Which is the nearest to 1.08? (a) t (b) 0.1 (c) 5\/3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 724 and 1381935?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + 1. Is 10 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -56 + 50. Let f(u) = u**2 - 15. Let y be f(i). Suppose 5*o + 2*a = 580, 4 = 5*a - y. List the prime factors of o.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 97*y - 2. Let k be h(1). Suppose 152 = 6*r - 2*r. Calculate the highest common divisor of k and r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.3256506g?\nAnswer: 325.6506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -20ba (base 14) in base 7?\nAnswer: -22323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - -3) + (-231)\/7. Suppose 2*n + 4 = k + 7, 3*n = 0. Are k and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -1362 - -2532. Does 6 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 167, 929, 2267, 4181, 6671, 9737, 13379?\n\"Answer: 288*l**2 - 102*l - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/29 + 4636\/116 + 8.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 j when three letters picked without replacement from {j: 14, f: 4}?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2504517960 to the nearest integer?\nAnswer: 50045","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 6*n**2 - 19*n + 31. What is the remainder when s(10) is divided by 63?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i**3 - 12*i**2 + 390*i + 511. Calculate h(-13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that t**3\/4 + 61*t**2\/4 + 119*t\/4 + 59\/4 = 0.\nAnswer: -59, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-7)\/(-42) + 114\/9 and (2\/(-3))\/(84\/963).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1280)\/(-20) - (23 + (-13 - 17)).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 44038*t**2 + 1135*t. Let x(o) = -233*o**2 - 6*o. Determine 6*p(d) + 1135*x(d).\nAnswer: -227*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.027797 months in years?\nAnswer: 0.08564975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 q when two letters picked without replacement from {q: 4, x: 1, c: 4, z: 2}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 30, 5, -3 in increasing order.\nAnswer: -5, -3, 2, 5, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -2\/35, -0.1, 7, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 - 6744*t**2 - 224406*t - 1103220.\nAnswer: 2*(t - 3405)*(t + 6)*(t + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8699 is divided by 663.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-96)\/8)\/(0 + (-4)\/(-18)). Let h be (-22437)\/o*2\/3. Suppose -2*v - a = -141, 4*v - 2*a + 3*a = h. What is the greatest common factor of 17 and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q + 14. Let y be j(-9). Let g be y\/((-15)\/(-6)) - -1. Suppose 2*u + g*u = 5*h + 65, 4*h = -5*u + 92. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(19*v**4 + 29*v**4 - 15*v**4).\nAnswer: -66*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 968 and 121?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -2*v**3\/7 - 398*v**2\/7 + 232*v = 0.\nAnswer: -203, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 + -1 - 6) + -5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-6)*45\/30\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 46 and 98?\nAnswer: 2254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -3 + 3 + 5 + (-13 - -19) - -22.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*r = -40*r + 303. Let k = r + -83. Suppose 0*y + 2*t + 32 = 3*y, 4*y = t + 36. Calculate the remainder when k is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k + 2. Let s be i(-3). Suppose -s*v + 65 = -3*f - 4, -75 = -5*v + 5*f. Calculate the smallest common multiple of 9\/(-2 - (-28)\/8) and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17366, -34961, -52556?\nAnswer: -70151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -175 - -301. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 322\/69*3 + -15?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3484 - 3473. Let t(z) = z**3 - 9*z**2 - 21*z - 7. Give t(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-144)\/10*43\/(3956\/(-115))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3404 + -2?\nAnswer: -3406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2328794?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - -12) + -1 + 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 394\/57 - 788503\/114114. Calculate the common denominator of u and 43\/91.\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13778623\/130 + 105990. Calculate the common denominator of 20\/143 and q.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -5*h**4 - 30*h**3 + 71995*h**2 - 143880*h + 71920 = 0.\nAnswer: -124, 1, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 9905822784*s**2\/5 - 9156576*s + 10580 = 0. What is s?\nAnswer: 115\/49764","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2604969 is divided by 235?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/9 - 544\/(-1224). Let m(i) = i**2 - i - 11. Let w be m(-4). Solve r + w = -s - s, n = 5*s - 5*r - 15 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 16) to base 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 975?\nAnswer: 2925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -311 - -471. Let d = b + -160.00000166. What is d rounded to 7 decimal places?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -24*g - 203. Let s(t) = t**2 + 5*t - 9. What is s(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.615 in -419, 1, -0.13, 3?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -93893, -751153, -2535149, -6009251, -11736829, -20281253?\n\"Answer: -93895*y**3 + 2*y**2 - y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4 + 2 - 3*k**3 + 7*k**2 + 0 + 2*k**3 - 5*k. Calculate l(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 4*w - 27, -w - 29 = -4*f + 2*w. Solve 22 = -4*d + f*o, 3*d + d + 5*o + 2 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 7:52 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-nine halves of a gram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 3574.\nAnswer: 32166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 48*x**2 + 74*x - 1231. What is p(47)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/2)\/((-4)\/(-6)). Let z = -110.1 + 110. What is the second biggest value in -1, y, z?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w**4 + 33592*w**3 - 808516*w**2 - 33592*w + 808512 = 0.\nAnswer: -8422, -1, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5*1\/10*-2. Solve 3*w - j = -10 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.241 + 7.69?\nAnswer: 7.449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a\/((a\/(a\/(a*(((a\/(a**(-3\/13)\/a))\/a)\/a*a)\/a))*a)\/a))\/a**4)\/(a**(-1\/6))**41 assuming a is positive.\nAnswer: a**(359\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20816*j**2 - 4*j - 3230.\nAnswer: -41632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2 = -7. What is the smallest common multiple of i and -3 + (8\/(-6))\/((-14)\/147)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**2 - 32*i - 45. Give d(-9).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.259 times -172?\nAnswer: -44.548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -4\/1313?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13837\/10 - 13831\/10. Factor 0 - q*c**3 + 6*c + 27\/5*c**2.\nAnswer: -3*c*(c - 10)*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = w - 502 + 1154, -w - 4 = 0. What is the remainder when 22030 is divided by x?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/10 (b) 7 (c) -0.5 (d) -4.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in -58, -0.1, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1672.\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-26)\/(-4))\/((-3)\/6). Let b = -11 - n. Let d(u) = 9*u**2 - 5*u**b + 0*u**2. Let y(l) = -4*l**2. Calculate y(d(m)).\nAnswer: -64*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 597\/4 - 148. Let n = -2709 - -2711. Factor 1\/4 + n*c**2 - c**3 - y*c.\nAnswer: -(c - 1)*(2*c - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2206596124 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 - (0 + 1 + 0). Let g = 536.83 + -540. Let q = g - -7.17. Put -2, q, i in descending order.\nAnswer: q, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1+6886.8516433\nAnswer: 6887.8516433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.4 (b) 337951 (c) 0 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**2 - 106*f + 56. Let i(j) = 6*j**2 + 319*j - 160. Calculate 17*g(x) + 6*i(x).\nAnswer: 2*x**2 + 112*x - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**4 + 0*h**4 - h**5 + (5 - 5 - 2*h**2)*(-h**3 + 2*h**3 - 3*h**3) - h**5 + 2*h**5 - 3*h**5 + h**2 - 3*h**2 - 7*h**5 + 3*h**2.\nAnswer: -6*h**5 + h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9246 - -11075. What is the remainder when w is divided by 46?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-3\/2)*o)**9)**(-37) assuming o is positive.\nAnswer: o**(333\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2 = -5*o, -4*s - 2 = 4*o - 2*s. Suppose o = 5*d + 25, h - 2*d = -d - 270. Let a = -147 - h. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11638 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of -v**6\/420 + 17*v**5\/42 - 41*v**4\/14 + 5*v**2 + 6*v + 2. Determine a so that c(a) = 0.\nAnswer: 0, 3, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 63*q**2 + 199*q + 63. Let a be c(-66). Let v(z) = 88*z**3 - 8*z. Let f(m) = 29*m**3 - 3*m. What is a*v(s) + 8*f(s)?\nAnswer: -32*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18112 and 192?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w - 2*w + 3*w)*(2 + 0 + 1)*(0*w + 2*w - 4*w + (-2 + 1 - 1)*(-3*w - 3*w + 4*w) + 3*w + 3*w - 3*w) to the form c + m*w + y*w**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7f2d4 (base 16) in base 4?\nAnswer: -1333023110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 2*o = 6*i + 6, -2*i + o - 3 = 0. Let n be (0 - 1)*i - -4. Suppose -3*g - 4 = -n*f - 3, -4*f + 21 = g. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**2 + 2*j + 2. Let k be 3*-1*(-7 + 6). Let n be p(k). Let v = n - 17. Is 3 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 97*j - 563 - 601. Solve 4*h - 2*m - j = 0, m - 2*m = -h + 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 - -24. What is the least common multiple of 7 and 1\/i + (-5)\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = 4*m + 13, -5*m - 6 = 3*c + 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.003 and 0.332?\nAnswer: 0.329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.28163 - 0.01837. What is the closest to 2\/9 in -346, g, -1\/3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2 - 2416736*k + 4833456.\nAnswer: 4*(k - 604182)*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 901 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31690.\nAnswer: 2, 5, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -10102302 (base 5) in base 7?\nAnswer: -456556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 2. Let k = t + -4. Let v = k + 8. What is the least common multiple of 6 and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of 7*y**2\/2 - 57*y + 66. What is the units digit of o(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) 3\/25 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/11))**(-18)*((k**(-10\/3)*k)\/k)**(-16))**(-39) assuming k is positive.\nAnswer: k**(-23582\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -169*j**3*w**3 - 262*j**3*w**2 + 11*j**2*w**6 - 13*j**2*w**2 wrt w.\nAnswer: -1014*j**3 + 1320*j**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22.073931 + -22.059. What is s rounded to 3 dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/40*(-2)\/3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a kilogram in grams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*y - 2354 = -308*y + 250*y - 956*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 512854 to the nearest integer?\nAnswer: 716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 644405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63 and 1981?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 14) + 20 - (7 + 2 + 18).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-100)\/(-750) - ((-124)\/(-30) + 3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4878718884 to the power of 1\/3, to the nearest integer?\nAnswer: 1696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 636, 1315, 1982, 2631, 3256?\nAnswer: 3851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -6*b**2. Let o(n) = 3*n + 2. Let l(h) = 15*h + 11. Let s(c) = 2*l(c) - 11*o(c). Determine s(p(k)).\nAnswer: 18*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 7) in base 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -676287 divided by -7?\nAnswer: 676287\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 602836727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = 6*g - 215. Let a(s) = -s**3 + 14*s**2 - 14*s - 1. Let p be a(13). Let u = p + g. Solve 5*f - 5*v = -35, -3*f - u = -3*v + 2*v for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 61208 and 67183431.\nAnswer: 7651","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - -11 - (22 - -7 - -24).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(72) + 0) + -4 + 4)**2*2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 4*p + 18 = 3*i, 2*p = -i + 12. Let u be 0 + i + (4 - -3). What is the units digit of 0 - -56 - (-11 + u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2358438, 2358440, 2358436, 2358426?\nAnswer: 2358410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 4*d + 76 = 0, 0*q + 3*q + 5*d + 43 = 0. Let c be 74\/(-7) + q\/(-28). Is (c - 16)*(-22)\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/99 and ((-28)\/(-10))\/(1650\/250)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 10:33 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3822849707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 15 (b) -2\/11 (c) 2\/11 (d) 2\/7 (e) -3.6582\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/(-288)*48\/(-20)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 4163835?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18\/19? (a) -3 (b) -4.78 (c) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -9 + ((-9)\/5)\/(53\/(-265)). Factor 6\/11*t**4 + 2\/11*t**2 + m*t + 2\/11*t**5 + 0 + 6\/11*t**3.\nAnswer: 2*t**2*(t + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -2057?\nAnswer: 2052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-20)\/(-12)*(-7 - 2). Let b(d) be the first derivative of -d**3\/3 - 15*d**2\/2 + 17*d + 515. What are the prime factors of b(c)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15687097.\nAnswer: 59, 265883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 6*m - 10. Let w be b(7). Let z(y) = -2*y + 3. Let l(g) = 3*g - 5. Let p(u) = w*l(u) - 5*z(u). What is p(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2785477, 2785475, 2785473, 2785471, 2785469, 2785467?\n\"Answer: -2*k + 2785479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -4 - (-7 + 3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 182.772 - -2.028. Let i = m + -169. Let x = i - 15.871. Round x to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ln when two letters picked without replacement from {l: 2, n: 1, p: 1, j: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26832 by -3354.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 473733 and 234.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1717 - 79.1717. What is the closest to 3 in 0.5, -4, o?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -48015767, -48015766, -48015765, -48015764, -48015763?\n\"Answer: h - 48015768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2509 is divided by 833?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = o - 3*o. Suppose -4 + 31 = o*x. Suppose -13*u = -x*u - 12. 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 12*o + 2304*o**2 - 6*o - 6*o - 2568*o**2.\nAnswer: -264*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -24*p. Determine t(-2).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 242.520008 to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 264368?\nAnswer: 2, 13, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -1\/3 (b) -4 (c) -6\/11 (d) -670\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46 + 6*m**3 + 42 + 126*m**2 + 4)*(-m**2 + 7*m**2 - 3*m**2).\nAnswer: 18*m**5 + 378*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*b - 997 + 997 - 30*b.\nAnswer: -78*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/2 + 11*j\/2 + 9.\nAnswer: (j + 2)*(j + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(228)*-2 - sqrt(228)*-3*-4)\/(-4*(sqrt(48) - (sqrt(96)\/sqrt(32) + sqrt(48)))\/sqrt(4)).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 + -4)*3\/9. What is the nearest to 1 in 2\/3, 0.1, v?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.73 + -0.03. Let z = h + -3.7. Which is the nearest to -2\/11? (a) z (b) -2\/11 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*v + 44*v + 2*n = -5, 4*v - n = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -15?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 227 - 227. Which is the third smallest value? (a) -1\/4 (b) i (c) -1\/3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*a + 12*a + 8*n, a + 3*n - 2*n - 4 - 2 + 5 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -21 + 2*d + 5*d**2 + d + 6*d**2 - 8*d. Let t(r) = -7*r**2 + 3*r + 14. Let k(i) = 5*a(i) + 8*t(i). Determine k(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1e - -4?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, y: 1, t: 1, h: 1, j: 4, v: 3}. Give prob of picking 3 v and 1 t.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of c**8\/42 - c**5\/60 + 49*c**4\/3 - 1294*c**2 + 1. What is the second derivative of y(l) wrt l?\nAnswer: 160*l**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.976 and 224.\nAnswer: 223.024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/12 + (-1151)\/(-3453)?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7406, 14805, 22204, 29603, 37002, 44401?\n\"Answer: 7399*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from eettttttttttttetete?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 546?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 7\/6, -1, 2, -2\/25.\nAnswer: -1, -2\/25, 0.5, 7\/6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 50, 62, 74, 86, 98?\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 12381323 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8 - -401?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 35754361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(252)\/(sqrt(48)\/sqrt(4)))\/(sqrt(192)*2) + ((sqrt(112) + 1 + sqrt(112) - sqrt(112)) + 5 - (0 + sqrt(112) + sqrt(112) + 0)))**2.\nAnswer: -110997\/128 + 567*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161 is divided by 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of j**4\/2 + 235*j**3\/6 + 39*j**2\/2 + 192*j - 1. Factor r(z).\nAnswer: (z + 39)*(6*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 0 - 82*q - 4 + 414*q + 7.\nAnswer: 332*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41881828?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 351 = -5*r, -29*x + 27*x + 5*r + 213 = 0. Let s be x\/30 - (-32)\/(-240). What is the greatest common factor of 3 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28 + 32. Suppose b*k = 299 + 381. Suppose 0*l + 3*o - 47 = -l, -2*o = 5*l - k. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 908242.7 milligrams to kilograms.\nAnswer: 0.9082427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 492 is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 489*q + 7. Let l(f) = -481*f - 4. Calculate 3*l(a) + 4*u(a).\nAnswer: 513*a + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h**(-2)\/h)\/h*h*h*h**(5\/2))**(-22)\/((h\/(h*h**(3\/5)))\/h**(-2\/5)*(h*h*h*h*h**(2\/5)\/h*h)**(-1\/3)) assuming h is positive.\nAnswer: h**(-94\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-64)\/6*(-1612)\/6. Let x = 2870 - v. Find the common denominator of x and 53\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.029 and -0.1.\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 6. Let j be (g - 4)\/(-1) + -3. What is the third biggest value in j, -0.3, 0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -3*p - 27, -169723*p - 3 = -169721*p + d for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 1:00 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4999\/45 - -556\/5. What is the closest to 0.1 in 1\/3, -10\/9, 2\/5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.249623ml in litres?\nAnswer: 0.000249623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 83936, 83962, 83988, 84014, 84040?\n\"Answer: 26*m + 83910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 221 or 4525?\nAnswer: 221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3 + 14154*y**2 - 16680480*y - 33417600.\nAnswer: -3*(y - 2360)**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 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: Let f(l) = l**2. Let j(t) = -11267064*t**2 - 5. Calculate j(f(i)).\nAnswer: -11267064*i**4 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 10*q + 22 = 3*y - 8*q, 6*y = -4*q + 36 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 3. Let h = 215 - 215. Put w, 2, -5, h in increasing order.\nAnswer: -5, h, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/14)\/((-56)\/98). Let w = 2484 + -81959\/33. Let g = w - 2\/33. Which is smaller: p or g?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 488747.35 - -49\nAnswer: 488796.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 32 - 3*x**2 + 2*x**2.\nAnswer: -x**2 + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 426522021?\nAnswer: 3, 142174007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 123816761 to the power of 1\/3, to the nearest integer?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5592*l = 5580*l + 168. Let v(m) = -2*m + 1. Let g be v(1). Let o be 69 - (g - -2)*-1. What is the highest common factor of o and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b. Let s(x) be the second derivative of -533*x**4\/12 - 2*x - 13. What is s(t(m))?\nAnswer: -533*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 7*k - 1. Let o(l) = -l**2 - l. What is 2*o(t) + x(t)?\nAnswer: -2*t**2 + 5*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -76169*a - 6169684. Give i(-81).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6.4 and 282.\nAnswer: -1804.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/19 - 148*d\/19 - 2720\/19.\nAnswer: -2*(d + 34)*(d + 40)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*r = -161, r - 334 - 457 = 5*k. Find the common denominator of (2 + 8 + -11)\/((-36)\/k) and -38\/63.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i + 2. Let z be g(5). What is the remainder when 17 is divided by 1 + (-4)\/(-2) - z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 8*r**2 + 11*r - 5. Let x be l(-6). Is (-3)\/((-12)\/524*x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 8*n = 28*n - 255 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 56161000 rounded to the nearest 1000000?\nAnswer: 56000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of 7*k**6\/2 - k**5\/20 + 41*k**3\/6 - k**2 - 44*k - 2. Find the second derivative of d(n) wrt n.\nAnswer: 1260*n**2 - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l + 11*l - 10543*l**2 - 8411*l**2.\nAnswer: -18954*l**2 + 10*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.28 + 1.98. What is the closest to -26\/7 in t, -2, -2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11 - 12*g - 11 + (-g + 0*g + 2*g)*(-60 - 16 + 447).\nAnswer: 359*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 2199, 2 in descending order.\nAnswer: 2199, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1050*o + 1047*o - 32 = -x, 3*o + 422 = 16*x for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 428632.\nAnswer: 2, 131, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -76850 to the nearest one thousand.\nAnswer: -77000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6270*w + 7562*w - 3939*w to q*w + g and give q.\nAnswer: 9893","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (88\/4)\/(4\/12). Let h = 80 + -62. Suppose -4*t = -h - x. Is t a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -10, 78\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 AM and 1:13 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 5:51 PM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (2\/2)\/((-1)\/6*-15)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2302461, -4604894, -6907327, -9209760, -11512193?\nAnswer: -13814626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*j = 168. Let a be (2\/6)\/(3 + 119\/j). Suppose 0 = r - 3*g - 17, -a*r - 4 = r + 2*g. Calculate the least common multiple of r and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15907 + -15979.59. Let s = q - -72. What is s rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three tenths of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29261134 * 0.02.\nAnswer: 585222.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 19 = 4. Let v be 6\/8*1*-4. Sort w, -2, v.\nAnswer: v, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ofao. What is prob of sequence af?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3263 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 175 + 20?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 337920119 to the power of 1\/5, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-448)\/98 + (-6)\/14.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 13 = 2*k, 3*k - 41 = -g - 44. Solve 5*t + g*l - 13 = -3, 5 = -l for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10400.843 rounded to the nearest ten?\nAnswer: 10400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15\/(-12) - 1\/(-4). Suppose 5*z - 12 - 18 = 2*h, -z + 5*h + 29 = 0. Let u = j + z. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/2079*-18)\/(2\/121).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48 + -37 - (6 + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/9 + 332*j\/3 + 994\/9.\nAnswer: 2*(j + 1)*(j + 497)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -925 = -2*t + 27*t. Let b = -15 - 7. Let i = b - t. Solve x + i = 4*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8120.\nAnswer: 2, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 5*j - 10, 0 = -7*k + 2*k - 4*j - 10. Let s(a) = -2*a**3 - 176*a**2 - 513*a - 254. Let w be s(-85). Put w, k, -27 in descending order.\nAnswer: w, k, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2 + 6*n - 2*n + n**3 + 5*n**2 + 3. Let d(s) = s**3 + 6*s**2 + 2*s - 13. Let b be d(-5). Suppose 5*q + 6 = i, -q - 8 = 2*i + b. Determine y(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 divided by 5?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 3*o + 26, o + 33 = -3*o - 3*u. Let c = -7 - o. Let r(g) = 7*g + 7. Let q(a) = 4*a + 4. Let z(m) = 5*q(m) - 3*r(m). What is z(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 1 = -3. List the prime factors of 2 + ((-12)\/1)\/q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = w - 6*w + 50, -3*h - 2*w + 25 = 0. Let z(f) = f**2 + 6*f - 57. Let m be z(h). Let n(l) = -2*l + 2. Give n(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 + 24 = 13*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**3\/s))\/s*s)\/(s**0\/s)*s**(3\/2)*s*s\/(s*s**9*s)*s*s*((s\/s**(-1)*s)\/s**9)**(-5\/9) assuming s is positive.\nAnswer: s**(-13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 247 divide 61619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 10454800 to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**4\/5 - 7*t**3 + 12*t**2\/5.\nAnswer: -t**2*(t + 12)*(3*t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 259656437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -16236, -32923, -49568, -66171, -82732, -99251?\n\"Answer: 21*z**2 - 16750*z + 493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51.8 + 48. Let t = 0.8 + x. Sort -1, t, -5 in increasing order.\nAnswer: -5, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.4 (b) -29\/5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -43\/2, 0.1.\nAnswer: -43\/2, -3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 3*u - 2*q, 3*q + 7 = 4*u - 3*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 2 + 23 + v.\nAnswer: v + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -12*m**2 - 3*m - 1. Let s(b) = -13*b**2 - 2*b. Calculate -2*f(y) + 3*s(y).\nAnswer: -15*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*r + 144122 = -72717 - 9755. Does 11 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*k**2*u + 6*k**2 + 22*k*q**3*u + k*q*u - 9*q**3*u + 19*q**3 + q**2*u with respect to k.\nAnswer: 4*k*u + 12*k + 22*q**3*u + q*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m**2 - 57*m + 877. What is y(-29)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 119439, 238871, 358303, 477735, 597167?\n\"Answer: 119432*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 7*z**4\/2 - 5788*z**3 + 1085474*z**2 + 310608*z = 0?\nAnswer: -2\/7, 0, 216, 1438","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1362 (base 8) to base 6.\nAnswer: 3254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*z + 3099 = 47587 + 46264. What are the prime factors of z?\nAnswer: 2, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 52, 122, 286, 580, 1040, 1702, 2602?\n\"Answer: 6*a**3 + 11*a**2 - 5*a + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 149616 and 37404.\nAnswer: 149616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18*(-2)\/12*-4. Let n(t) = -2*t + 13. Let m be n(6). Suppose 4*f = -m + 9. Sort f, 5, j in decreasing order.\nAnswer: j, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45312.89 millilitres in litres?\nAnswer: 45.31289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2 = -k. Let p(f) = 2 + 42099*f**3 + 42099*f**3 - f**2 - 84197*f**3 + f. Give p(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 24 = -0*f - 4*z, -3*z - 14 = 5*f. Sort 4, -5, 5, f.\nAnswer: -5, f, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -97 * 4.\nAnswer: -388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 105.4*-0.06\nAnswer: -6.324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ufvfhhauhfu. What is prob of picking 1 u, 1 a, and 1 h?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -14*f + 8. Let d(p) = p - 1. Calculate -5*d(q) - i(q).\nAnswer: 9*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10070512 divided by -2517628?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 15314679?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 83708 + -83708.5. Let s be 8\/(-70) - (-4)\/(-14). Sort k, 2, -46, s in decreasing order.\nAnswer: 2, s, k, -46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3806 or -3807?\nAnswer: -3806","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + 17*i - 41. Suppose 3*y = -4 - 8, 5*s + 111 = -4*y. Let w be f(s). Sort -1, w, 9 in increasing order.\nAnswer: w, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-90))\/(35\/(-16275)*(-2)\/(-2))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of (1\/9*-3)\/(-7 + (-2987474)\/(-426783))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 6.588173 years?\nAnswer: 0.06588173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 4*j - 7. Let l = 26 - 8. Let v = l + -13. Determine y(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 + -11. Suppose 0 = -3*l + 29 - f. Suppose 0 = 4*q - 0*q + l. Let m(x) = -3*x**2 - 2*x - 4. Let k(j) = 4*j**2 + 2*j + 5. What is q*k(i) - 3*m(i)?\nAnswer: i**2 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o**2 + 298799158188*o - 298799158188*o.\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/49 + (-1308)\/42*2\/(-4)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -49\/2 - -24. Let x be -17*56\/816*12\/21. Let v = -9.2 - 2.8. Which is the fourth smallest value? (a) -3 (b) x (c) t (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 24*n**2 + 35*n - 251. Calculate s(23).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 19*s**2 - 6*s + 3. Is y(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 391 and 30379?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 1 + 4 - 3 + 6 + w. Let d be s(-6). Let r = 1 + d. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1954868?\nAnswer: 2, 488717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 95, 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -81, -0.01, 1\/2, 5, -14\/5 in descending order.\nAnswer: 5, 1\/2, -0.01, -14\/5, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6\/5*h - 4\/15 + 22\/15*h**2 = 0. What is h?\nAnswer: -2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24788*-6.\nAnswer: 148728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -50984 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1239 + -2438. Let i be 1\/3 - m\/(-33). Let s = i + 77. Calculate the remainder when s is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 AM and 6:02 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -13*t**7\/21 - 2*t**5\/15 - 46*t**2 + t. What is the third derivative of w(n) wrt n?\nAnswer: -3120*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i = -11*i + 110. Let z = i + 22. Solve z = -4*k + 2*f + 10, -4 = -5*k + 4*k + f for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 642.458 + -643. Let a = o + 0.542005. What is a rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/8 (b) -1\/2 (c) -0.2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -291 + 313 - (-4 + (-6 + 1 - 1))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 6*w - 7. Let b(f) be the second derivative of -f**3 + 7*f**2\/2 - 4*f. Let y(k) = -5*b(k) - 6*j(k). Is y(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 divided by -2?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -q**2\/5 - 221*q\/5 - 1908\/5 = 0.\nAnswer: -212, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24 in 1\/2, 2\/17, -4, 1\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.11 and 0.04.\nAnswer: 0.0044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**2 - 2*m**2 + 3*m**2 + m**4 + 2*m**3 to f + n*m**3 + g*m**4 + x*m + y*m**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide (-17 - 110479)\/(-6) + -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 460\/3300 - (-12)\/(-44). Let o = -0.3 - -1.3. What is the closest to o in z, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5727 is divided by 2859.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 w when two letters picked without replacement from {q: 1, l: 3, c: 1, h: 2, w: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/20)\/(2\/8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1246219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33358?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -m**6\/10 - 12*m**5\/25 - 9*m**4\/10 - 4*m**3\/5 - 3*m**2\/10 + 2. Factor b(n).\nAnswer: -3*n*(n + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 810955138, 1621910276, 2432865414?\nAnswer: 3243820552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 + -100011010?\nAnswer: -100010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2042230 - -1?\nAnswer: 2042231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/7 - 27\/21. Let o be a\/(-5) + 19\/5. Suppose o*u = n - 30, 16 = 5*n + u - 113. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.9 - 0.1. Which is the third smallest value? (a) 2 (b) 1\/3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 12*w + 8. Determine s(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 100371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vmmx when four letters picked without replacement from {x: 1, v: 11, m: 3}?\nAnswer: 11\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = -12 - 23. What is the greatest common factor of w and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/((-2 + 3)*-1). Suppose q - 15 = -8*u + c*u, -q = 3*u - 11. Let r be (-3)\/((-147)\/(-98)*2\/3). Put 4, r, q in increasing order.\nAnswer: r, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 5. Let y(m) = -6*m**2 + 4*m - 2. Let v be y(2). Let f = a - v. Is f a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38428 >= 38428?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2682592.835 rounded to the nearest 1000?\nAnswer: -2683000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/30 + 29345600016\/160. What is z rounded to the nearest 1000000?\nAnswer: 183000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -176\/81 or 15\/17?\nAnswer: 15\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(275)*2 - sqrt(275))*2)*5)**2.\nAnswer: 1000*sqrt(11) + 27600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1501*y + 40228 - 59071 - 61731 = 3482 for y.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 9) to base 5\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of 92*d**6\/3 - 2*d**3\/3 - 11*d**2\/2 + 100. Find the third derivative of s(i) wrt i.\nAnswer: 11040*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1407972 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1232827*v**3 - 1232845*v**3 + 2 - 2.\nAnswer: -18*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 34 - 3*z - 37 + 7*z wrt z.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/3*(62 + -1 + 2). Suppose -3*c - o = -3*a + 2*a, 4*c = -3*a - 2. Solve 0 = -a*z + z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, -262, -2.\nAnswer: -262, -48, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 235875 divided by -1887?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.9? (a) 12\/5 (b) -1\/2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7274 >= 7279?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l - 265 - 149. Calculate the remainder when l is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 367\/6 or 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -300282, -600601, -900956, -1201347, -1501774, -1802237?\n\"Answer: -18*i**2 - 300265*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 30 = 2*d. Let v be ((-28)\/d)\/((-2)\/(-3)). Find x such that 12*x + 0 - 6 + 2 + v*x**2 = 0.\nAnswer: -2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704) - (1*(-3*sqrt(704) + sqrt(704)) + sqrt(704) - sqrt(704)) - sqrt(704)) + -1*sqrt(704) + 1)**2 + 2.\nAnswer: 16*sqrt(11) + 707","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 255213328?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 375324.3cm in kilometers?\nAnswer: 3.753243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - i**2 + i - 1. Let f(l) = -3*l**3 + 2*l**2 - 2*l + 2. Suppose k + n + 6 = -k, -n = 3*k + 8. Calculate k*b(d) - f(d).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -5.1\nAnswer: -1.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.089 + -0.689. Let b = 20601744 - 20601742.60000037. Let h = o - b. Round h to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169951*z - 27 = -3*i + 169948*z, -i + 2*z + 24 = 0 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6684, 6665, 6624, 6555, 6452?\nAnswer: 6309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*c**5 - 9*c + 9*c + (c**4 + c**4 - 4*c**4)*(-8 + 2*c + 8).\nAnswer: -11*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -5*f + 10, 6*f - 5*f + 4*h = 2. Suppose -d - f + 3 = j, -31 = -3*d + 4*j. Solve -r + 5*o = 13, -2*o + 10 = d*r - 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -499\/56 (b) -600 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19970 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 33 - (-2 - -1)\/(-2 - -3). Let v(z) = -z**3 + z**2 + 5. Let c be v(4). Let y = c + 48. Solve 0 = -5*j + 3*d - n, 0 = -j + y*d - 29 + 9 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - z**2 + z + 14. Let g be 12\/(-8) - (-27)\/6. Suppose 0 = -l + g*l. Let a be q(l). What is the highest common divisor of 14 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -9*w - 37. Let u be v(-15). Let y = 119 - u. Is 8 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*b - 75*b - 42 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5879?\nAnswer: 5879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 117 and 23946.\nAnswer: 71838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5)*-2 + -2 + sqrt(5) - -3*((sqrt(10)\/sqrt(2))**2 - sqrt(5)))*-5 - (sqrt(25)\/(sqrt(45)\/sqrt(9)) - 3*(-1 + sqrt(5))).\nAnswer: -68 + 22*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 508 = -d, -d - 4*d = -5*l + 610. What is the tens digit of 5*(-4 - l\/(-15))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9.22 - 0.22. Let q = 5 - m. What is the smallest value in q, 0, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -607545*-25.7\nAnswer: 15613906.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d**3 - 3892*d**2 + 4846941*d - 1886065722 = 0. Calculate d.\nAnswer: 778, 1557","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 619, 0.1003, -0.2, 0 in decreasing order.\nAnswer: 619, 0.3, 0.1003, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-59 - -48 - (10 + 2 + -5))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -899, -3328, -7285, -12770, -19783?\nAnswer: -28324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 3:43 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (1 + (-1 - 1)) - -2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22280 + -22333. Suppose 0 = 3*l - 5*l - 102. Which is greater: l or r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 84 by 1218.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 95.17133 millilitres?\nAnswer: 0.09517133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 586 + -1151\/2. What is the nearest to -1\/3 in -0.2, -5, b?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 221030010 (base 6) to base 12\nAnswer: 13b5306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 - 4*a**2 + a**2)*(2*a + 1 - 1)*(6 + 3 - 2).\nAnswer: -42*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.5 and -0.061.\nAnswer: -0.0915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from azbljzoloazl. Give prob of picking 2 l.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0.07529, 1\/3, -6\/5, 2\/3, -0.06?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 3*l + 19, -3*d - 6*l = -3*l - 21. Let h(j) = -j**2 + j + 2. Give h(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a century in months?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 0.008, 0.1, -5\/6, -2\/5.\nAnswer: -5\/6, -2\/5, 0.008, 0.1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8828 is divided by 2861?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23883 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (-3 + 3) - -17.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28*b**3 - 2*b**2 - 552*b wrt b.\nAnswer: 168*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*v + v - 2*v)*(-8*v**2 + 34*v**2 + 31*v**2) as r*v**3 + t + d*v + l*v**2 and give r.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r - r**3 - 7 + 2 + 6 as w*r**2 + y + s*r + t*r**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 156480 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: Find the common denominator of -101\/25980 and -37\/3897.\nAnswer: 77940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-31)\/(-3))\/(5\/(-15)). Let q(h) = -h**2 + 10*h + 5. Let b be q(12). Let t = b - y. Solve -2*d - d = -t for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**4)\/q**5)\/(q**(-2\/5)*q)**(6\/7))\/(((q\/(q\/q**(-6)*q)*q)\/(q*(q*(q**(-3)\/q)\/q)\/q))\/(q\/(q**(-2\/21)\/q)*q*(q**(-1)\/q*q)\/q)) assuming q is positive.\nAnswer: q**(-569\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*k**3 + 37*k - 37*k)*(-2 - 1 + 5) - 29*k**3 + 12*k**3 + 14*k**3.\nAnswer: 49*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (-1 - -18 - 21).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 n when two letters picked without replacement from {j: 2, n: 4, g: 1, q: 4}?\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-10) + 296\/40. Suppose -x*s = -5*s. Suppose -2*g = 5*l - 1585, s*l - 2*l - g + 634 = 0. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4 and 48.039.\nAnswer: 52.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 2)*(-12*x + 5*x - 6*x)*(0 + 0 - 2*x**3)*(-2 + 2 - x).\nAnswer: 78*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 635 = 330*c - 774 - 241 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.3 (b) -2\/9 (c) 7\/4 (d) -0.5 (e) 4.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (67\/(1340\/(-132)))\/(1*(-1)\/(-10))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1339888399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 447.572068 - 399.71093. Let x = -0.140422 - d. Let w = 48 + x. Round w to four decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.01 + 7.99. Let d = k - 8. Which is the nearest to 0? (a) -4 (b) 0.2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5993233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -3. Let d = -1 + m. Let n be (3\/18*3)\/2. Which is the closest to n? (a) d (b) -0.4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 624436.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-80)\/(-50)*(-2)\/(84\/(-10))*2\/(-24)?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 831 (base 16) in base 9?\nAnswer: 2780","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 4*v - 6*v, -3*v - 15 = 3*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 69, 56, 43, 30?\n\"Answer: -13*p + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(10\/(-24))*(1775\/50 + -38). Let q(b) = -3*b - 6*b**2 + 4 - 2*b**3 - 2*b**3 + 5*b**3. Calculate q(r).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**2 + k. Let r be s(1). Suppose 3*a - a**r + 3*a**3 - a - 4*a**2 = 0. Calculate a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**14*w)**25\/(w*w*w*w**(-3)*w)**(1\/6))**(8\/5) assuming w is positive.\nAnswer: w**(8996\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -0.2?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 19874682761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.83725 times -0.4\nAnswer: 0.3349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2))**(15\/7)\/(b**0\/(b\/(b*(b\/(b*b**(-3)))\/b)*b)) assuming b is positive.\nAnswer: b**(-37\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q**4\/7 + 105921*q**3\/7 - 211830*q**2\/7 = 0. Calculate q.\nAnswer: 0, 2, 35305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 40*z**2 - 14*z + 15. Let v(q) = -14*q**2 + 5*q - 5. What is 17*v(p) + 6*x(p)?\nAnswer: 2*p**2 + p + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3534070?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 77864100?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121 (base 4) to base 2.\nAnswer: -11001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*r + 8 = 0. Suppose 81 = r*a + 23. Is a a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -239 - -240. Which is the third biggest value? (a) r (b) -2\/5 (c) 2\/7 (d) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.7 + -0.3. Suppose -30 = -2*d - 4*d. Suppose -d*g = -5*z, -2*z - g - 4*g = -35. What is the smallest value in z, 0.4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 9, 4\/13, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7184 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.099 - 0.\nAnswer: -0.099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-441)\/8820)\/((-2)\/144)*-5?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 345 = 2*r - 33. Factor 3*u**3 - 2*u + u**2 + 189 - r.\nAnswer: u*(u + 1)*(3*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6655 is divided by 667?\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.25 + -14.3. Let o = 6 + l. Let c = o + 0.15. Which is smaller: 0.2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 176*f**2 - 744*f - 4325. Give z(-180).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49469311?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (20\/(-85))\/((-230)\/85). What is the third biggest value in 0.55, t, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/30564 and -113\/20.\nAnswer: 152820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -6 + (-1 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 1052.\nAnswer: 7364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1404.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lfflllll. What is prob of picking 2 l and 1 f?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kgggkkggkkkkkkggg. Give prob of picking 1 g and 1 k.\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -3) + -7 + -3 + (-13 - -27)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1156*z + 7052 = 236 + 1036 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-229101294\nAnswer: -68730388.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7}. What is prob of sequence kkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.032 + -2.032. Let t = -1 - -1.1. Which is the nearest to 1\/4? (a) t (b) -1\/6 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*8\/(-6)*6\/(-8). Suppose 5147789 = -l - 5*c - 3032236, d*l + 24540025 = -5*c. Round l to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11\/280 + -3\/35. Let i = -0.08 + -2.92. Which is the third smallest value? (a) -5 (b) i (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, q: 4, c: 8, v: 5}. What is prob of picking 1 v, 1 c, and 1 q?\nAnswer: 160\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -57*u. Let v(t) = 13*t - 6. Let c(j) = -3*j + 2. Let x(r) = 3*c(r) + v(r). Give x(f(b)).\nAnswer: -228*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t. Let p(o) be the first derivative of -o**4\/4 + 4*o**3\/3 + 39*o + 40. Let u(d) be the first derivative of p(d). Give y(u(i)).\nAnswer: 3*i**2 - 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 761 is divided by 127.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1826?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -26253245 (base 8) in base 11?\nAnswer: -3339953","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 + 2*x**2 - 2*x**2 - x**3 - 15 as k*x**3 + z*x**2 + h*x + w and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -4*q**2\/5 + 199944*q\/5 - 2498600196\/5 = 0.\nAnswer: 24993","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1 + sqrt(1216)) + -1 + -2 + -3)**2.\nAnswer: -112*sqrt(19) + 1265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 39?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -6*h**2 - 11*h + 2. Let w be p(-2). Suppose 55*s - 330 = -w*s. Calculate the least common multiple of s and -2 - (-4 + 2 - 122).\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 74128 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -1. Let x = 343 - 343. Suppose -24*l + 19*l = x. Solve t = -l*p - 3*p - 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17702 and 1169?\nAnswer: 123914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2b (base 12) in base 7?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = l - 0 - 74, 3*v = -4*l + 49. Solve -4 = 15*p - v*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/32 + 40\/25 - ((-3618)\/(-180) + 11).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1392*n + 1381*n + 239789. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5 - -0.3. Let f = g - -0.5. Let m = 452\/3 + -150. Which is the nearest to 2\/7? (a) 0 (b) f (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + -1 + 2*sqrt(1088)).\nAnswer: 32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v - 5*l + 21 + 1, -37 = -2528*v + 2526*v - 3*l for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 4 + 9*g + 9 - 18*g + 6*g. Let b be l(3). Suppose -y + 17 = 8*j - 3*j, -b*j + 5*y + 31 = 0. Solve -h + 0*h = j for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 20 = -0*q. Let g(n) = n**2. Let b = 525 + -526. Let w(p) = -15*p**2 + 5*p. Let m(z) = b*w(z) + q*g(z). Let m(l) = 0. What is l?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28790 + 28790. Let w(n) be the first derivative of 14*n + q*n**2 - 7 + 37\/3*n**3. What is the first derivative of w(x) wrt x?\nAnswer: 74*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (5 - (-1 - -6)) + -2.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000735817 to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10754 * 0.06\nAnswer: 645.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 5*t = 2202. Let o = -91461894 + 10426405015\/114. Let v = t - o. Find the common denominator of v and -7\/18.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 217877800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76620986?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(528) + (3*sqrt(528) - sqrt(528) - sqrt(528)))*-3 + sqrt(528)))\/((sqrt(2112)*-2 - sqrt(2112))\/((-1*sqrt(11) - sqrt(11))*1)).\nAnswer: -10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*x - 68 = 3*n + 22, 8*n - 5*n = 2*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1 + (1 + 0 + 1)*(2 - 2 + 2))*(-18 + 7*d + 18 + (-2*d + 6*d - 2*d)*(2 - 5 + 2)).\nAnswer: 15*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1317, -2633, -3949, -5265, -6581, -7897?\n\"Answer: -1316*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/((-1)\/10*(-20)\/(-8)). Let h be -41*4\/(-5 - -1). Suppose b + f*b = -2*l + 2, 2*b + h = 3*l. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -9*x + 3. Let o be b(-13). Let r = -140 + o. Sort 3, 2, r, 5 in descending order.\nAnswer: 5, 3, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*o + 6*o = b + 20, 3*b + 30 = -5*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 208*x - 3542. Calculate s(17).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 1074*x - 1. Let a(k) = 2*k. What is o(a(z))?\nAnswer: 2148*z - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -19480 (base 16) in base 7?\nAnswer: -610621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -47)*52\/78*3\/4?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55232?\nAnswer: 2, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27458*i + 27454*i - 3*j = -71, -5*i = -3*j + 80 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 > -5575037?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -14*s - 1. Let f(w) = -w. Determine 5*f(r) + n(r).\nAnswer: -19*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12313, 102742, 349403, 830410, 1623877, 2807918, 4460647?\nAnswer: 6660178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilometer in centimeters?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/4 + 7153575*p + 51173635280625.\nAnswer: (p + 14307150)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.04266 - 0.24266. Let d = 0 + 1. Which is the nearest to -1? (a) d (b) z (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151295122.\nAnswer: 2, 11, 6877051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 644*j**2 + 23*j - 13. Let a(s) = -s**2 - 2. Let n(c) = -3*a(c) + h(c). What is the second derivative of n(x) wrt x?\nAnswer: 1294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 + 5. Let x = -16 + q. Let o = 0.1 + 0.9. Which is the closest to o? (a) -0.3 (b) 0.4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1670498702 to the power of 1\/3, to the nearest integer?\nAnswer: 1187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 39\/8 less than or equal to 519.719?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4*c = 4169, 2*u - 7*u - 4205 = 5*c. Let v = 5916\/7 + u. Calculate the common denominator of -1 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rorgrayrrrf. What is prob of picking 1 o and 3 r?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/252)\/((8\/(-6))\/(-4))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 144659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1182071141 to the nearest integer?\nAnswer: 34381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2. Let o(l) = -150754941*l. Give z(o(h)).\nAnswer: 22727052235913481*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - l**2 + 84*l + 42. Is r(-16) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*((-2)\/(-10))\/(-1).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -135656.661 rounded to the nearest 100?\nAnswer: -135700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13\/2? (a) -5 (b) 4\/5 (c) 82\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/13, 0.046, -4, 0.4, 0.1 in increasing order.\nAnswer: -4, 0.046, 0.1, 3\/13, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -23900 to the nearest 1000.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*j**2 + 0*j**3 + 0*j**3 + j**3)*(-606*j + 1054*j - 584*j).\nAnswer: -136*j**4 - 952*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 0*g = -p + 21, 5*p = -g + 105. What is the highest common divisor of p and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12846779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 5) to base 4\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -4*p - 0*p. Calculate the remainder when 44 is divided by p\/(-4)*(6 - 0).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 2, -26, -12 in descending order.\nAnswer: 2, -1, -5, -12, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*u**2 + 5*u**2 - 18*u**2.\nAnswer: -110*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*j - 2*j - 9*j - 9*j to t + m*j and give m.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 263649.22283 rounded to the nearest one thousand?\nAnswer: 264000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49 + -21. Suppose u + 25 - w = 0. Let z be (u\/(-10))\/(-1 - (-4)\/16). Which is smaller: -26 or z?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -2\/2343, -6.23?\nAnswer: -2\/2343","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + 14*n - 75. Let d be a(-18). What are the prime factors of -5 + (4 - d) + 67*2?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 343 is divided by 26?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-105)\/60*(-20)\/14?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(20\/9)\/((u\/(u\/u**(-16)))\/u)*(u**(1\/5)\/u)\/u**(4\/15) assuming u is positive.\nAnswer: u**(817\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 7*n**2 + 11*n + 4. Let o be k(-3). Calculate the highest common divisor of 301 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/24 and -97\/1520.\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/49060 and -61\/484.\nAnswer: 539660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 541 + -2709\/5. Which is the nearest to -0.1? (a) z (b) 4\/5 (c) 0.4 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -54*f + 18*f**3 + 54*f + (-220*f + 48*f**2 + 220*f)*(-2*f + 3*f - 2*f) in the form c*f**2 + n*f + a*f**3 + k and give a.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 5*t - 101, -76 = -4*t - m + 5*m. Let z(n) = n**3 + 6*n**2 + 2*n - 7. Calculate the smallest common multiple of z(-5) and t.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 1:47 PM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (8175\/(-500))\/(-109)*435\/9\nAnswer: 29\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 8:50 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 652 is divided by 73.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/32, -5, 2, -0.4, -1, 1\/5?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4*y**3 - 13*y**2 - 7*y - 18. Let d(g) = 5*g**3 - 13*g**2 - 6*g - 19. Let c(v) = 5*d(v) - 6*z(v). Is 3 a factor of c(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46953 is divided by 15638.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 4768.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 22460 = -w, -5*w + 3*b + 112440 = 212. What are the prime factors of w?\nAnswer: 2, 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7289 = -5*s - 7324 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 63 = -5. Calculate the remainder when c is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11124422 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - -15. Let g(t) = -t**3 - t**2 - 2*t - 1. Calculate the remainder when g(-4) is divided by x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*g = 23*g, 2*g = -h - h - 40 for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.4, -87, 0.1, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3640*d**2 - 12007*d?\nAnswer: 7280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.95144 - -0.04856. Which is the nearest to n? (a) -37 (b) -3\/2 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3*sqrt(1216) + -3*sqrt(1216)*2.\nAnswer: -72*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 5*q**2 - 5*q + 3. Let s = -6 + 9. Suppose m = s*m + 2*o - 16, -m + 5*o = 16. Calculate k(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 94483 = -2*n + 285827, 5*n + 3*u - 950747 = 0. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -917356 and -6173.\nAnswer: -923529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**2 - 21*q + 34. Let c be d(8). Let r be 27\/c*40\/(-12). Solve -u + r = -4*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 370650\/107 + -3464. Is -1 equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5160 = -4*l. Does 36 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 b when four letters picked without replacement from {w: 5, z: 7, b: 8}?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 11:39 AM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_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 m = 4404 - 4408. Which is the nearest to 2\/11? (a) -75 (b) m (c) 2 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 464 and 8562656?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of 0*p**3 + 0 + 0*p**4 + 10*p + 2*p**2 - 1\/30*p**5. Let q(x) = -2*x - 22. Calculate q(t(g)).\nAnswer: 4*g**2 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let k be 181146\/342 + ((-1)\/(-3))\/1. Suppose 0 = 25*x - 180 + k. Suppose -5*n + 0*n - 3*p - 24 = 0, 2*n - 4*p = -20. Which is greater: n or x?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 0.2 (b) 3 (c) 25 (d) -14 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (-4)\/2 + -8 + 20 + -6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 4*f**5 + 68*f**4 + 420*f**3 + 1132*f**2 + 1256*f + 480 = 0.\nAnswer: -6, -5, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 33230 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f**2 + 4*f - 2. Let s be -6*4*3\/(-18). What is the units digit of y(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 21 (b) 4\/27 (c) 0.5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20018, 40208, 60596, 81182, 101966, 122948, 144128?\nAnswer: 165506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*c + 4*q, 7*c = 3*c - 5*q + 4. Solve 0 = x + c + 2 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -19*y**2 + 43*y + 5. Let c(j) = 9*j**2 - 21*j - 3. Let p(g) = -5*c(g) - 2*v(g). Let r(q) = -4*q**2 + 10*q + 3. Determine -3*p(z) + 5*r(z).\nAnswer: z**2 - 7*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, j: 2, e: 2, a: 6, q: 2}. Give prob of picking 1 q and 2 a.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 531 and 52074?\nAnswer: 3072366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-4)\/6)\/((-6)\/90) and (-1 - -1) + 7 - 0?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2*32)\/(6\/((-3)\/(-1))). Differentiate b + 2*z**2 + 9*z + 0*z**2 - 71 with respect to z.\nAnswer: 4*z + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110010101011 + 1101111010?\nAnswer: 1000000100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 667360 by 16.\nAnswer: 41710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -n + 8, -n - 4*p + 4 = -5*p. Factor 8*t - 24*t**2 + 4 + 26*t**n - 28.\nAnswer: 2*(t - 2)*(t + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*w + 34*w - 7 = 8 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -217 (c) 4 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a + 4. Suppose 2*w - 7*w = -10. Let k(l) = -2*l + 5. Let t(m) = w*k(m) - 3*q(m). Let n = 1 - 4. What is t(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 532.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -185*w**2 + 567*w - 41. Determine t(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/(-6) + (-58040448)\/(-1152) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18*g + 168*g - 3*g)*(-2*g + 4*g - 3*g)*(340 + 276 + 107) to the form c + m*g + t*g**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 450657.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*i**2*s - 3*i*s + s + 209 with respect to i.\nAnswer: -28*i*s - 3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11120, 11139, 11148, 11141, 11112, 11055?\nAnswer: 10964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 2:57 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0353877093 and -0.2?\nAnswer: -0.00707754186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of 0*t + 1\/3*t**3 + t**2 + 1\/6*t**4 + 0. What is the units digit of b(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of -25*k**8\/336 + 11*k**7\/42 + 29*k**6\/24 - 47*k**5\/12 - 5*k**4 + 30*k**3 - 5710*k**2. Determine v so that x(v) = 0.\nAnswer: -2, -1, 1, 6\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21475?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -6a?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 41 - 16 = 0. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)*2*4 + -1*(-3*sqrt(119) - sqrt(119)) + sqrt(119))\/((sqrt(168)\/sqrt(3))\/sqrt(8) - sqrt(7) - sqrt(63)\/sqrt(9)*-4).\nAnswer: 13*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-28870 - 6558*g + 28870)*(-2*g**2 + 2*g - 2*g) to l*g + v*g**3 + p*g**2 + b and give v.\nAnswer: 13116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - 2.0633636997062.\nAnswer: -4.0633636997062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -3*c**2 - 7*c + 7. Let n(b) = -64 + 33 - 5*b - 2*b**2 + 36. Let t(x) = -5*k(x) + 7*n(x). Let v(y) = -3*y. Calculate v(t(a)).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 8. Suppose -u*q = -0*q, 2*o + q = 6. Suppose -o*c - 294924 = -3594924. Round c to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*((-19)\/38)\/((-2)\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14862399835 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2 - 5340*x - 1327564.\nAnswer: (x - 5578)*(x + 238)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 15) to base 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 94410497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2 = c - 11, c = 5*x - 7. Suppose c*l - 1 = 14. Factor -n**l - 4*n**5 + 10*n**3 - 5*n + 2*n**4 - 2*n**4.\nAnswer: -5*n*(n - 1)**2*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 42\/(-6)*(15\/6)\/(-5). Factor -9\/2*c**2 + c + s*c**3 + 0.\nAnswer: c*(c - 1)*(7*c - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fan when three letters picked without replacement from {q: 1, f: 1, a: 1, n: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2 = -2*m. Suppose -25 = -m*r - 3*r. What is the third derivative of p + 2*p**2 - r*p**4 - p + 6*p**4 wrt p?\nAnswer: 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 334320?\nAnswer: 334322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k + 71*k = -231 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-5 + 0 + -1*-2*sqrt(17) + 1*sqrt(68) + -4 + -4))**2.\nAnswer: -2600*sqrt(17) + 11025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16 - 0*3\/6. What are the prime factors of (t\/(-40))\/(1\/(-55))?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of t**4\/6 - 19*t**3\/6 - 3*t**2 - 35. Let w(n) be the second derivative of d(n). Let b(h) = -2*h + 9. What is 13*b(p) + 6*w(p)?\nAnswer: -2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**3 - 16*m**2 - 45*m + 345. What is j(10)?\nAnswer: 295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.248159 rounded to zero dps?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 18267*o + 23. Let a be j(-4). What is the units digit of a\/(-105) - (7\/(-3) - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -28*y**2 - 11943*y - 5784. What is t(-426)?\nAnswer: 606","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*s - 25 - 15. Solve -33 = s*v - 13 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/2))**(-1\/8))**(23\/2)*(g**(-2\/7))**(-2\/17)\/((g\/(g*g**0))\/g**(2\/3)) assuming g is positive.\nAnswer: g**(16211\/11424)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -47*v**2 - 27 - 45*v**2 + 14*v + 93*v**2. Calculate the remainder when 91 is divided by k(-17).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i = 8*i + 20. Suppose -3*b = -9, 1 = w - i*b + 12. List the prime factors of 137\/3 + 1 + w\/3.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11956, -23653, -35350?\nAnswer: -47047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24c (base 16) to base 14.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 36 = 7*z. Suppose -z + 50 = b. What is the derivative of 3 - 10*s**3 - 5*s**3 + b*s**3 wrt s?\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.68 (b) 36 (c) 1 (d) 2 (e) -0.07 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -486 - -696. What is the remainder when 230 is divided by t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -f - 2. Let n be (-4)\/f*(-21)\/(-35). What is the biggest value in 1, n, -2\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**2 + 1 - 1 + (-64 - 101 + 41)*(2*f**2 + f**2 - 5*f**2) to the form w*f + v + j*f**2 and give j.\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 128198760 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 31\/(-217) + (-72)\/(-14)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 * 0.0110022.\nAnswer: -0.000660132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of 58*s**5\/15 - 7*s**4\/24 - 5*s**3\/2 - 11*s**2 + 1. What is the tens digit of r(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 11.3. Let c = -0.1 + g. Let i = c - -5.4. What is the third smallest value in 2, -3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 24*t - 69. Let q be h(20). Suppose -2*i + 3*a + 79 = 0, 0 = -q*i + 7*i + 5*a + 161. What is the highest common divisor of 308 and i?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11104145*u - 10845689?\nAnswer: -11104145","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*0.062.\nAnswer: -0.496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5152766 years to months.\nAnswer: 6.1833192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.015 + -7.915. Let h = -0.57913 + 8.47771. Let r = h + d. Round r to four decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 104 - 1532*s**2 + 358 + s + 364 - s wrt s.\nAnswer: -3064*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 3*a - 2. Let o be s(-2). Suppose -3*n + o*f - f + 21 = 0, 0 = 4*f - 12. Let h = 20 - -4. What is the greatest common divisor of n and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42 + 54. Is 27 a factor of ((-24)\/(-20))\/(h\/6030)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/1464*(-6)\/(-5)?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 6*m - 7. Suppose 4*a + a - 215 = 0. Let z = a - 64. Let o = 15 + z. Calculate h(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 4*r + 1, 4*r = 5*s + r - 12. Suppose 8*n - s*n - 4*z = 913, 2*n - 4*z = 358. List the prime factors of n.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341996 is divided by 3192.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 310 + 220 = -89*p + 85 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 276\/42 + (-4)\/(-14) and ((-24)\/(-5))\/3 + 1.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174*g - 1015*g - 58261 = 0 for g.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -525 + 466. Let i = -3836\/65 - b. Calculate the common denominator of i and 43\/13.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -r**3\/3 + 11*r**2\/2 + 4*r - 4. List the prime factors of z(9).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 4)*(19845\/(-135) - -143)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of -1227*z**6\/40 - 46*z**5 + 2997*z**2. What is the third derivative of w(c) wrt c?\nAnswer: -22086","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cvi when three letters picked without replacement from civcbbc?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-146*w - 3 - 2304*w - 1189*w)*(0*w + w + w) to the form o*w**2 + i*w + a and give o.\nAnswer: -7278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -231 - -247 - (0 + 14) - 46?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 18*o = 15*o + 157914, -2*o - 52635 = -f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153930 is divided by 30785.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 66\/14 + 66\/231.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of -j**5\/6 + j**4\/8 - 10*j**3\/3 + 11*j**2. Let r(s) be the first derivative of y(s). List the prime factors of r(-6).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 455 and 91?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnnnnnnnnnnnnnfn. Give prob of picking 2 n.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 4*p = -12, 3 = -3*l + 2*p + p. Let t be -1*(-3)\/l + (-11 - 2). Which is bigger: -11 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 + 11 + 12*u**2)*(-u - 2*u**2 + 3*u**2 + 11 - 12) as c*u**3 + j*u**2 + q*u + f*u**4 + h and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*m - 741 - 2056 = 2874 for m.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 11 = j. Suppose 0 = -3*i + j - 2. What is the second derivative of -6*s**3 + 7*s**2 - 9*s - 7*s**2 - 3*s**i wrt s?\nAnswer: -54*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14 - 7a958?\nAnswer: -7a971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.73 - 0.6. Let k = l + -3.13. Let i = 2.42 + k. Round i to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -118, -112, -104, -94, -82?\n\"Answer: f**2 + 3*f - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 - (5 - (-59)\/(-1)). Let o(p) = m - 107 + 56 - p. Let r(s) = -16*s**2. Calculate r(o(t)).\nAnswer: -16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 5*j - 108, 0 = -4*w + 3*j + 2*j + 109. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16713*c**2*j**3 - 4*c**2*j - 4*c**2 + 10*c + 42*j**3 - 7419*j wrt c?\nAnswer: 33426*j**3 - 8*j - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -98*a**3 - 3356. Let o(f) be the second derivative of f**4\/12 - f. Determine i(o(t)).\nAnswer: -294*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 430\/19 + -12277\/456. Calculate the common denominator of f and -46\/14439.\nAnswer: 115512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3\/5 - 1468*x**2\/5 - 304*x + 17664\/5.\nAnswer: 4*(x - 368)*(x - 3)*(x + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8072276?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by 116.\nAnswer: -17\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -106, -0.9, -0.1, -5 in ascending order.\nAnswer: -106, -5, -0.9, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 147 = -3*n, -7*a + n - 544 = -3*a. Let y be -8 - -7 - (-177)\/a. Let k = y - -22\/9. Which is bigger: 0 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/813 and -125\/12.\nAnswer: 3252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/301 and 69\/14.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15669 - 15648. Calculate the remainder when 329 is divided by o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/l**(-2\/3)))**9*l**2*l**5 assuming l is positive.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 5*g**2 - 5*g + 1. Let s(r) = -r**3 - 9*r**2 - 6*r + 10. Let t be s(-8). What is n(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 9742, 38971, 87686, 155887, 243574?\n\"Answer: 9743*j**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 m when four letters picked without replacement from rrrmrrrrrmr?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of i**6\/24 - i**4\/6 - i**2 + 59. Calculate y(-2).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12230 + -11a?\nAnswer: 12111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1, 7, 27, 65, 127?\n\"Answer: x**3 + x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2 (b) 12.03 (c) -1\/2 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2721 or 37?\nAnswer: 2721","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 116874 (base 10) in base 3?\nAnswer: 12221022200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 89603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 4320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40\/9, 0, 0.246, -4, -3\/2 in decreasing order.\nAnswer: 0.246, 0, -3\/2, -4, -40\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 342 = -29*j - 28*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - -29 - (-57 - -80).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 197395 - 197476.153. Let f = -81 - p. What is f rounded to two decimal places?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 53 + -34. Suppose 2*n - 2*f - 20 = -6, -p = -3*n + 2*f. Let i = -20 + 22. Solve -3*w - i = 4*h - w, -5*w = -n*h + 20 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -659, -2, 2 in decreasing order.\nAnswer: 2, -2, -659","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-5936)\/40 + -4)\/((-6)\/20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2\/4 + 13257*l\/4 + 13251\/2.\nAnswer: 3*(l + 2)*(l + 4417)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2130815*f + 48888918 wrt f.\nAnswer: 2130815","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-1 + -5 + sqrt(1872)*2 + 3*sqrt(1872)*-6)**2.\nAnswer: 2304*sqrt(13) + 479273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20587*g**3 - 39*g**2 - 20468*g**3 + 39*g**2.\nAnswer: 119*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 5*x. Let y be r(7). Suppose 1 + y = 4*q. Let m(c) = c - 6. What is the units digit of m(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -1. Let g = -133 - -131. Let l(a) = a - 1. Give g*y(q) - l(q).\nAnswer: -q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.566246 meters to micrometers.\nAnswer: 7566246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -0.2 (c) 14 (d) -16 (e) -4 (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 + 83. Calculate the highest common divisor of t and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -16, t + 4*q = 2*q + 38715. Suppose -4*x = -4*v - 33180, -13817 = 3*x - 2*v - t. Round x to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2200 + -301?\nAnswer: 1677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from ppoppo.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrr. Give prob of picking 2 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3235441*f**4 - f**2*z - 2531*f*z + 286*z wrt f.\nAnswer: -38825292*f**2 - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**3 - 148610*c**2 - 1932268*c = 0. Calculate c.\nAnswer: -13, 0, 74318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 492988 to the power of 1\/2, to the nearest integer?\nAnswer: 702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jx when two letters picked without replacement from {j: 4, p: 2, x: 2, n: 6, t: 1}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((41\/12*1)\/((-32)\/288))\/(54\/144)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29841 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1210 (base 3) to base 5.\nAnswer: -143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 10:06 PM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*q + 53 = 0, 78*q = -5*m + 75*q - 15. Solve 3\/4*z**4 - 3*z**2 - 3\/8*z**5 - 3\/4 + 3\/4*z**m + 21\/8*z = 0 for z.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2031 + 2026. What is the second smallest value in -1\/8, 0.4, 0.79, n?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68484.987s in days?\nAnswer: 0.7926503125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7031181670 minus -0.98003?\nAnswer: -7031181669.01997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 603 and 11933.\nAnswer: 7195599","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8188526 divided by 1054.\nAnswer: -7769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -11*z**2 - 152*z - 258. Calculate f(-11).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 + 8 - 10 - -846. Suppose 0*c - c - h = -5*i, -2*i - c + 329 = 0. List the prime factors of i.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54 by 54.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6616 + 9822. Let x = o - 1920. List the prime factors of x.\nAnswer: 2, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 9:28 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 23720 = 23729?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/48 and -59\/10161?\nAnswer: 162576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.3297376 millilitres?\nAnswer: 0.0003297376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h**(-2)\/h)*h*h**(-2\/5)*(h\/((h\/h**(1\/2))\/h)*h)**(1\/6)*((h**(2\/5)*h*h)\/h**(-2))\/(h**1*h*h\/(h**(-5)\/h)) assuming h is positive.\nAnswer: h**(5\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -168.9 - -169. Which is smaller: 6\/71 or t?\nAnswer: 6\/71","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 22 = 2*l + 5*r, 3*r + 78 = 3*l. Suppose -l + 18 = -v. Let h(c) = -c**2 - 5*c - 4. Let y be h(-3). Solve -v = -j - y*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/15))**(-1\/24) assuming g is positive.\nAnswer: g**(1\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 77 or 4?\nAnswer: 77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m - 1301. Let a(p) = 75*p**2 - 3*p. Determine f(a(g)).\nAnswer: 225*g**2 - 9*g - 1301","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + -27. Suppose 920*k + 117 = 923*k. Let i = k + x. Calculate the remainder when i is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 + 23. Suppose l = -h*l - 6. Let p = l - -121. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 17*t**2 + 13*t - 59. Determine p(-16).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 92*i**4 + 0*i - 1 - 2*i + 1392271*i**2 - 1392273*i**2 to the form b*i + y*i**2 + s*i**3 + h*i**4 + p and give h.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 6837965.9 to the nearest ten thousand.\nAnswer: 6840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4*d**2 + 2. Let r(k) = -11*k**2 + k + 7. Let p(h) = -8*q(h) + 3*r(h). Let v(o) be the first derivative of p(o). What is the tens digit of v(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -48*b - 76. Let w be u(-7). Let c = -260 + w. Solve -2*m = -c*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20*0.770525.\nAnswer: 15.4105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 127*n**2 + 42*n. Let o(p) = -p**3 + 91*p**2 + 41*p. Let v(k) = 3*l(k) - 4*o(k). Factor v(c).\nAnswer: c*(c - 2)*(c + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(1425)\/sqrt(3) + 5 + -2.\nAnswer: 8 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 173\/10882542 and 43\/649704.\nAnswer: 43530168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -c**7\/168 - 7*c**6\/360 - 2*c**3\/3 + 8. Let n(f) be the third derivative of z(f). Find the third derivative of n(i) wrt i.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28435*x**3 + 28652*x.\nAnswer: -170610*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 617285?\nAnswer: 5, 123457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, e: 1, d: 1, r: 1, n: 2, c: 2}. What is prob of picking 1 r, 2 n, and 1 d?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -234 by 727.\nAnswer: -234\/727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, x: 5}. Give prob of sequence xxlx.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of k**7\/1890 + k**6\/1080 - k**5\/90 - k**4\/54 + 4*k**3\/27 + 242*k**2. Suppose v(u) = 0. What is u?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2715*v. Let m(u) = -5*u**2. Calculate m(r(q)).\nAnswer: -36856125*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 10 = 4*l, 2*y = y - 3*l. Sort 3, 4, y in decreasing order.\nAnswer: y, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/35 and ((-568)\/100 - -8)\/((-41)\/5)?\nAnswer: 1435","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4400 + -4400. Sort 5, u, -3.\nAnswer: -3, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 993*b + 32. Let m be t(4). Let r be m\/(-10) - ((-48)\/20 + 3). Let i = r + 724. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ubuq when four letters picked without replacement from uubqquuqb.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*v - 2*v**2 - 48*v + 20*v + 4*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 51 + 41 = 0. Let a(d) = -35*d**m + 7*d**2 + 35*d**2. Let u(v) = -5*v. What is a(u(f))?\nAnswer: 175*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 12 (b) 8 (c) -42 (d) -7 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -244*a + 245*a - 54091. Suppose -12*b + 17993 = -a. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**5 + 970*d**4 + 15856*d**3 + 87792*d**2 + 192096*d + 144288 = 0. What is d?\nAnswer: -6, -2, 501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 2*a - 0*a + 156, -5*j = -4*a - 168. Suppose 168 = -3*v - 108. Let b be (-1)\/(-8) - v\/j. Solve 10 = -b*y + y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 125886 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of -i**6\/50 + 9*i**5\/25 + 61*i**4\/40 + 21*i**3\/10 - 282*i**2 - 5. Find t such that u(t) = 0.\nAnswer: -1, -1\/2, 21\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 319501103 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1628566629 to the power of 1\/2, to the nearest integer?\nAnswer: 40356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + 27. Suppose -34*z = -l*z. Suppose -r - 15 = -6*r. Put z, r, -1\/7 in decreasing order.\nAnswer: r, z, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33262 - 32450. What is the greatest common divisor of 1102 and u?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.15, -10, -0.3 in ascending order.\nAnswer: -10, -0.3, 0.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 633 divide 847830150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 686739 is divided by 8584?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 - 4)*(2*x - 3*x - x) + (-4*x + x + 4*x)*(1 - 1 + 2) to m + y*x and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(891)*-5 - sqrt(891)) + 1 + sqrt(891) + -4 + 1*(sqrt(891) + 3*sqrt(891) + -5))**2.\nAnswer: -1296*sqrt(11) + 72235","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 - -24. Suppose u*q + 57 = 5*q. Let r = -19 + q. Solve 4*p - p = -2*m - 1, 4*m + 8 = r for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 14*j**3 - 4*j**2 - 3*j + 6. Calculate i(-2).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -87*x**4 - 403*x**2?\nAnswer: -2088*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199773954 is divided by 3504806?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3011, -6059, -9139, -12251?\n\"Answer: -16*g**2 - 3000*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26073 by -2897.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3513 + 21981 = 76*q. Calculate the remainder when q is divided by 82.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7883 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m + 353. Let u(j) = -j + 117. Give 6*k(o) - 17*u(o).\nAnswer: -o + 129","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 12*u - 7 - 8 + 10. Let l(x) = -12*x + 4. Let k(c) = 4*l(c) + 3*n(c). Let b be k(-2). Calculate the highest common factor of 10 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 4:07 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s - 18*s - 2*o = 14, 0 = 3*s - 5*o - 35. Solve s = -38*n + 43*n + p - 7, 4*p + 14 = n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*l**5 + 27*l**4 - 817*l**3 - 2*l**2 - 1594655*l?\nAnswer: -120*l**2 + 648*l - 4902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 249 + -252. Let i(u) = -u**3 + 2*u**2 - 4*u - 1. Let m be i(2). Put w, m, -1 in descending order.\nAnswer: -1, w, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + -5 + 14\/(-7). Let f(u) = -2*u**2 - 7*u - 1. Calculate f(b).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2135 - 24?\nAnswer: 2111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -h**3\/3 - 3*h**2 - 3*h + 4. Let g be v(-5). Let u(x) = -2 - 3 - 2*x + x + g*x. Give u(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -170*n**2 - 13*n. Let d(t) = 85*t**2 + 6*t. Give -9*d(u) - 4*l(u).\nAnswer: -85*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a micrometer in nanometers?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -160?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h + 6. Let o be m(-4). Suppose 2*v - 433 = 3*z, -z + 2*v - 227 + 80 = 0. Let l = z - -155. Sort o, 3, l in decreasing order.\nAnswer: l, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 11892150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16670 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000035493874 to 7 dps.\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 8 = -5*j, 4*q + 3*j + 6 = 3*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 90\/12780023?\nAnswer: 90\/12780023","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1169*b**2*p**2 - 2*b**2*p - 95*b**2 - 14*b + 5*p + 3 wrt p?\nAnswer: -2338*b**2*p - 2*b**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = w - 14, 2*w - 17 = w - 5*x. Suppose -2 - w = -2*h. Let c(s) = 0*s**2 + 0*s**h + 2*s**2 + 0*s**2. Let m(k) = -11*k. Determine c(m(b)).\nAnswer: 242*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t\/((t\/((t**24*t)\/t))\/t)*t*t)*t*t*t**(-7)*t*t**(-1\/24)*t\/(t\/t**19))**(-22) assuming t is positive.\nAnswer: t**(2651\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 162\/150*5 + -4 + -1. Let g = -0.4 + -1.6. What is the fourth smallest value in x, g, -3\/4, -1\/10?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 5*k + 4. Let a(x) = 6*x + 5. Let h(g) = 4*a(g) - 5*n(g). Let m(y) = -26182*y - 13 + 2 + 26248*y + 1 + 10. What is h(m(j))?\nAnswer: -66*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*a - 2 - 16*a + 34*a as w + f*a and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 29 = 11. Suppose -2*a + z = 0, 4*a - 1 = q + 3. Let i(r) = -q + 3 - 18*r + 16*r. Calculate i(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 261 + -261.39625. Let n = 0.395 + z. Round n to 4 dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4\/3 - s**3\/3 - 4*s**2 - 4*s\/3 + 16\/3.\nAnswer: (s - 4)*(s - 1)*(s + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8\/(-92) - (-4203528)\/552?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 8:39 AM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 402051250?\nAnswer: 2, 5, 37, 8693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 904865 to the power of 1\/2, to the nearest integer?\nAnswer: 951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + 29*f - 193. Let y be l(17). Solve -5*t = -2*p + 15, -y = -3*p + 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -19, -5, -4, 1 in decreasing order.\nAnswer: 1, -1, -4, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99)\/sqrt(3)*-6 - (sqrt(132)\/sqrt(4)*-2 + sqrt(33)))\/((sqrt(77) + (sqrt(77) - 1*sqrt(77)*-1 - sqrt(77)))\/sqrt(7)))**2.\nAnswer: 75\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 107671360?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6713742 is divided by 193?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -11*d**2 - 8*d + 5. Let r(c) be the second derivative of 7*c**4\/12 + 5*c**3\/6 - 3*c**2\/2 + 2*c. What is 5*q(g) + 8*r(g)?\nAnswer: g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30837 * 2.592.\nAnswer: 79929.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (0 + 2 + -5 + (13 - 3)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-5)\/((-225)\/(-1602)))\/(1\/5). Let p = -58 - f. Is 21 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2594*z**2 - 3323*z**2 + 8976*z**2 + 7452*z**2 - 330*z**2 as q*z**2 + j + n*z and give q.\nAnswer: 15369","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 145 = 8*o. Suppose -2*v + o = -4*a - 21, 3*v = 2*a + 87. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 0 - 36 = 3*l, -u + 3*l = -24 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, p: 1, t: 1, z: 2, x: 2, i: 1}. What is prob of picking 1 i and 1 t?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, 245, 44 in ascending order.\nAnswer: 1, 5, 44, 245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*v + z, 6 = -4*v + 6*v - z. Suppose -j - 2*a = -6*j - 22000000, -v*j + a = 17600000. What is j rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 3*b**2 - 5*b + 4. Is 10 a factor of k(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/(-10)*(-6950)\/(-30). Let v be 0 - -1 - (-13 + -1). Let g be (p\/5)\/(3*(-1)\/v). What is g rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -7*u**3 + 7*u**2 + 3*u + 23. Let g be -4 - (-9 - (-1 - 1)). Let n(z) = 4*z**3 - 4*z**2 - 2*z - 12. Let a(t) = g*h(t) + 5*n(t). Give a(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 264*d**2 - 753*d wrt d?\nAnswer: 528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 2:57 PM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.0239900234*3\nAnswer: -0.0719700702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/25*5*25\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1\/5 (b) 1\/5 (c) 186\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(8\/5)\/f**(3\/4)*f*f**(-13)*f*f**(-4\/7)*f assuming f is positive.\nAnswer: f**(-1361\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -33*f**3 + 13*f**2 - 30*f + 19. Let q(c) = -16*c**3 + 6*c**2 - 15*c + 9. Calculate 6*i(b) - 13*q(b).\nAnswer: 10*b**3 + 15*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -5*d**2 - 21*d + 260. Determine o(8).\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*z = 437 - 77 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -2\/11, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.813 + -0.813. Which is the nearest to 78? (a) -1\/2 (b) 0.3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/sqrt(4) + 0 + sqrt(17))*3.\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 427*c**2 + 83*c + 83. Let r be b(-1). Calculate the highest common divisor of 488 and r.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve q - 3*c = 15, 5*c = q + 258 - 283 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70668.\nAnswer: 2, 3, 13, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.24 + 3.74. What is the nearest to -2 in -16, n, 1\/8?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 2, 1, -5, 1\/5, 1779, -0.2, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of 0*f**6 + 0*f**5 + 1\/6*f**4 + 0*f**2 + 0 + 0*f**3 - 1\/21*f**7 + f. Find the third derivative of v(b) wrt b.\nAnswer: -120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -113 - 168127?\nAnswer: -168241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * 9606.\nAnswer: 67242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-2)*2 + 2. Let h(w) = w. Let t be h(2). Suppose -2*o = n - u*o - 9, t*o = 0. Solve -3*q - 4*m = -n*m + 1, 4*m + 4 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*k + 20*k - 814 - 637 = -7327 for k.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k + 9*k**2 + 0*k - 2*k. Let h be y(-1). Calculate the highest common factor of 9 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of r + 0 - 1\/6*r**3 + 13\/2*r**2. Let d be o(6). Calculate the highest common divisor of 7 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-14)\/98)\/(2\/(-7)))\/((-937)\/80582)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 137720?\nAnswer: 275440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(-66)*-1*1456\/312?\nAnswer: 28\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, 1\/6, 49, -3, -0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 19 = a, 3*a - c = 1 - 2. Let t be 2\/(-2) + a + 2. Suppose -f + 42 = t*f. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 3. Suppose 24 = 22*h - 16*h. Let p be z(h). Calculate the greatest common factor of 133 and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -115*d*g**3*n - 6*d*g**3 - 7*d*g - 4*d + 2*g**2*n - 5*n wrt g.\nAnswer: -690*d*g*n - 36*d*g + 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 0.4, -37, -1\/6, 1, -4 in increasing order.\nAnswer: -37, -4, -1\/6, 0.4, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1549556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -8429\nAnswer: -2528.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 784\/70 - 12 - (-84)\/130?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -54*l**2\/7 - 15*l + 6\/7 = 0.\nAnswer: -2, 1\/18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((3 + -3)\/(-8))\/3. Put 2, 288, t in descending order.\nAnswer: 288, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 8*y - 3*y. Solve y*a + a + 13 = 5*i, i = -5*a - 9 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*v = 92*v - 1035. Solve -70 = 5*g - v for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*d + 0*d - 4*d)*(2 + 3 - 6) - 3*d + d - d)*(2*d**2 + 5*d**2 - 4*d**2) + 2*d**3 - 4*d**3 + 3*d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 11:32 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 2*g**5\/3 + 7*g**4\/3 - 35*g**3\/3 - 25*g**2\/3 + 11*g + 6 = 0?\nAnswer: -6, -1, -1\/2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 552 = -28*c + 1980. Calculate the greatest common factor of c and 102.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -323 (base 4) to base 16\nAnswer: -3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -81*j**2 - 4965*j - 4884.\nAnswer: -3*(j + 1)*(27*j + 1628)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -299 - -241.4. Let j = l + 53.6. Let i = -0.2 - -0.3. Which is the third biggest value? (a) i (b) j (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14 + 42 + 94 + (-3 + 1 + 0)*(-1 + 0 - 1))*((o - 5*o + 3*o)*(0 + 0 + 1) + 0*o + 3*o - 6*o) to n + a*o and give a.\nAnswer: -504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1138, -1249, -1428, -1675, -1990?\nAnswer: -2373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of 199*d**6\/6 + d**4\/4 - 21*d**2\/2 - 118*d - 8622. What is the second derivative of p(t) wrt t?\nAnswer: 3980*t**3 + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52540, 53395, 54822, 56821, 59392, 62535?\nAnswer: 66250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -146*a**3*c*t**3 - a**3*c*t + 6*a**3*l - 12*a**2*c*l - 3*a**2*c*t**3 + 2*a**2*c - 2*c*t**3 + c wrt a.\nAnswer: -876*c*t**3 - 6*c*t + 36*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 215415 a multiple of 327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9283\/168 + 455\/8. Let t = 801\/2 + -12061\/30. What is the common denominator of r and t?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 2. Let n be (-3)\/(-12) + m\/4. Round n to zero decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*k - 13 = -94*k for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 204 + -200. Suppose 0 = -5*k + 32 + 13. Suppose -7 - k = -h*i. Calculate the lowest common multiple of 4 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69463 (base 11) in base 4?\nAnswer: -120200122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*s**2*v**3 + 16*s**2*v**2 + 17*s*v**2 + 222*v**4 wrt v?\nAnswer: 18*s**2 + 5328*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -153530652 divided by -6.\nAnswer: 25588442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in -1\/6, -33, 1\/6, 0.1, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -u - 7 + 2, -4*a + 23 = 5*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(-2))\/(10\/40). Is 21876\/(-8)*m\/(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 812 = 10*w - 19888. Is w a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.081 * -0.1.\nAnswer: -0.0081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 169\/840 and -22\/550025.\nAnswer: 13200600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 2)*(-75933*b**3 - 6*b + 55638*b**3 + 6*b) as j*b**3 + r*b + f*b**2 + x and give j.\nAnswer: 40590","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40 + 39. Calculate the lowest common multiple of 30 and (p - 5\/7)\/(4\/(-14)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1266, -2568, -3888, -5214, -6534?\n\"Answer: 2*u**3 - 21*u**2 - 1253*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87040 is divided by 314.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 59, 5, -1, 3, -100, -3, 9 in ascending order.\nAnswer: -100, -3, -1, 3, 5, 9, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12201 (base 5) in base 6?\nAnswer: 4142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 5 = -h. Let f be h - (5 + (-6)\/3). What is the third derivative of 3*o**3 - 2*o**3 - o**2 - o**f wrt o?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 248295600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -37. Let c be (8\/10)\/(8\/20). Suppose -c*x + 48 = 2*x. Calculate the lowest common multiple of b and x.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -142?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 a when two letters picked without replacement from lvlovavlll.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -41*p - 32 + 73. Which is the fourth biggest value? (a) -4\/5 (b) 0.6 (c) 3\/2 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/4 - (-231)\/44. Solve 4*u - u - j*h - 2 = 0, 3*u - 18 = -3*h for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 860 and 505000?\nAnswer: 21715000","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -449*j**2*m**2 - 359685*j**2 - 91*j*m**2 with respect to m.\nAnswer: -898*j**2*m - 182*j*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/7 (b) 11 (c) 0 (d) -4 (e) 469\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 117 + -77. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -116*c + 1 + 58*c + 5*c**2 + 49*c + (6*c - 2*c - 2*c)*(-c + 2 - 2) + 0*c**2 + 0*c**2 - c**2.\nAnswer: 2*c**2 - 9*c + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 304 and 146984.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 49, 61, 79, 103, 133?\nAnswer: 169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3924263.69*-1.\nAnswer: -3924263.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = 9*k - 11 - 1. What is the second biggest value in -0.5, k, 1, 16\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 248*x**2 - 3*x + 33. Is r(10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 5*q**3 + 27*q**2 + 469*q + 1418. Calculate g(-3).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d + 4*k + 31 = 0, -3*d + 4 + 0 = 622*k - 617*k for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -9642 (b) -8\/55 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + 5*d + 5. Let u be o(-1). Let q = -141 + 142. Which is the closest to u? (a) q (b) 0.1 (c) -23\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3980 and 2388?\nAnswer: 11940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 1156 = -2*z, 5*l = -18*z + 21*z - 1445. Let a = l + 293. Solve 4*h + a = -2*q, -5*h + 3*q + 6 = -0*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**4\/6 + 65*n**3\/6 + 823*n**2\/6 + 637*n\/2 = 0. What is n?\nAnswer: -49, -13, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 4*h**4 + 76*h**3 + 132*h**2 - 76*h - 136 = 0?\nAnswer: -17, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95954 is divided by 11978.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -143*r**2 + 130 - 73 - 57. Let z(v) = -6*v. Give a(z(b)).\nAnswer: -5148*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 53 = 13*y - 10, -f + 4 = -y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*s + 191*s + 303 = 70 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(1 + (-20)\/18). Let n = -108 - -114. Let f = d + n. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0009350672 rounded to six dps?\nAnswer: -0.000935","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 1613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**(-6)\/f)\/f**(9\/5))\/(f**(1\/3))**(-7\/3))**36)**(1\/37) assuming f is positive.\nAnswer: f**(-1444\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212023111232 (base 4) to base 12.\nAnswer: 3427752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2\/9, -56 in increasing order.\nAnswer: -56, 2\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 51 = -4*p + 33, 3*h + 21 = p. Let q(t) = 2*t + 3. Let j be q(5). Let m = p - j. Calculate the remainder when 39 is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/314? (a) 0.35 (b) -1\/6 (c) 0.3 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -449\/364 + -3\/182. What is the smallest value in z, 1\/2, 5, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -283*n - 417*n + 16100 for n.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d + 5. Let r(z) = 2*z - 5. Calculate -7*r(j) - 6*t(j).\nAnswer: -2*j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45467?\nAnswer: 19, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 6*t + 5. Determine g(-8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 14*q = -19*q + 345, q + 246 = -4*r. Suppose 5*p + 310 = 5*s, 4*p + s - 126 + 369 = 0. Which is smaller: p or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8511*0.05.\nAnswer: 425.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((1*sqrt(77))\/sqrt(11) + sqrt(63)\/(5*sqrt(9)))*-3.\nAnswer: -18*sqrt(7)\/5 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7407, -29670, -66727, -118578?\nAnswer: -185223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - 2\/(2\/21). Let u = 78 + g. Let a = -25 + u. Calculate the remainder when a is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -145a?\nAnswer: -1458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (4 - -13)) + 3\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -724170.676 to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15056, -15045, -15034, -15023?\nAnswer: -15012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 0*y = -27. Suppose 3*t = 126 + y. Does 19 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*d - 6, 0 = x - 5*d + 5. Let g(j) = -j - 3. Let c(f) = -4*f + 12. Let u(q) = c(q) - 5*g(q). Calculate u(x).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38*i**3 - 3*i**3 - 2*i - 51*i**3 + 60 + 13*i**3 wrt i?\nAnswer: -474*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-8)*u)**(-10) assuming u is positive.\nAnswer: u**70","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 84.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 - 24. Suppose -4*y + 14 = -i*s + 2*s, 0 = y - 4*s + 10. Let b(o) = -o**2. Determine b(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-121)\/22 + -5 - 2).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 484 + -486. Let d be (-31 - -25)*1\/j. Solve 0 = d*u + 28 - 22 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-1*sqrt(120)\/sqrt(2))\/(sqrt(432) + (-2*sqrt(432) + sqrt(432) - sqrt(432))))**2.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 282356?\nAnswer: 2, 70589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m + 7. Let w be c(3). Suppose -o - w*o = 4*i + 34, -i = -3*o. What are the prime factors of ((-4)\/i)\/((-2)\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -102.73 - -103. Let i = -0.13 - z. Put 2, i, 5\/6 in decreasing order.\nAnswer: 2, 5\/6, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10567 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 10 = -w. Solve -3*b + w + 4 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 8. Let r(v) = -8*v**3 - v**2 - v. Let q be r(-1). Which is the biggest value? (a) q (b) t (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35254 (base 9) to base 16\nAnswer: 5bf3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2211308 is divided by 25417?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -115886, -231779, -347672, -463565?\n\"Answer: -115893*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*653\nAnswer: 195.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -1936*y**2 + 213*y - 213*y + 4666*y**2 in the form o*y**2 + c + i*y and give o.\nAnswer: 2730","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 13*u**2 + 9*u - 4. Let y(h) = -h**3 - 11*h**2 + 9*h - 8. What is the remainder when t(-11) is divided by y(-12)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/(sqrt(10) - ((sqrt(10) - sqrt(250))*-4 - sqrt(10))))\/((sqrt(27) - sqrt(108)\/sqrt(4))\/sqrt(9) + (-2*sqrt(6))\/sqrt(2)).\nAnswer: sqrt(3)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7825.\nAnswer: 5, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4931125*f**3 + 3726248.\nAnswer: -14793375*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 6, 222.\nAnswer: 6, 7, 222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9210444 divided by -2?\nAnswer: -4605222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + t = 3*p + 8, -5*t + 3*p = -16. Solve -t*f = 3*f - 25 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 41923 - 41923 - 3257*i**5 + 15417*i**5 + 10007*i**2 + 3556*i**2 wrt i?\nAnswer: 729600*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 115*m**4 - 125*m**3 - 77*m**2 + 139*m - 24. Let w(x) = 38*x**4 - 42*x**3 - 26*x**2 + 46*x - 8. Let z(l) = -2*i(l) + 7*w(l). Factor z(y).\nAnswer: 4*(y - 1)**2*(y + 1)*(9*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/5)\/((-489)\/(-165) + -3). Let n = a + -39. Let k be ((-18)\/(-10) + -3)\/(12\/(-40)). Solve -n*m = -15, 2*z + 20 = -0*z + k*m for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 288040?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5716 < 211498\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/6 and -3 - 60\/64*-10?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -6\/7, 0, -2849?\nAnswer: -2849","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6364862 and 6405?\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 234 + -234.43. Let a = -0.82 - m. What is a rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 4, 9, -5 in decreasing order.\nAnswer: 9, 5, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 274*x - 67*x - 36*x - 57*x - 62*x - 66*x.\nAnswer: -14*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - (3 + 39)\/((-3)\/3).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3070.36 to the nearest 10.\nAnswer: -3070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*a**2 + 138*a - 840 = 0. Calculate a.\nAnswer: -20, 14\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x**2 + 2*x**2 + 2*x**2 + (4*x - x + 4*x)*(0*x + 4*x - 2*x) as k + j*x**2 + y*x and give j.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4128 + 4126. Which is the biggest value? (a) -2\/3 (b) g (c) 2 (d) -3\/19 (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.44 - -0.56. Let g = -1.5 - -0.5. What is the biggest value in 0.2, b, g?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3099 is divided by 3089.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 d when four letters picked without replacement from {v: 1, d: 4, j: 4, k: 1}.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1632 = -4*y - 4*f, 3*f - 1102 + 311 = 2*y. Which is bigger: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - p + 3. Let y be w(0). Solve -5*f - 13 = -b, -1 = -7*b + y*b + 3*f for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.088? (a) -7 (b) -3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, i: 1, e: 2, c: 5, o: 1}. Give prob of sequence ose.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -70, -159, -284, -445, -642, -875?\nAnswer: -1144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15\/8 + 7\/4. Let z = -190162 - -1713665\/9. Let m = z - 245. Sort o, -4, m.\nAnswer: -4, o, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -8\/127, -34 in increasing order.\nAnswer: -34, -0.1, -8\/127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27.089986585 - 27.09. Round t to 7 decimal places.\nAnswer: -0.0000134","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-2) + 3 + 27\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/4 and -103\/159700?\nAnswer: 159700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aae when three letters picked without replacement from {n: 1, d: 2, t: 2, a: 2, e: 8}?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i + 3*v + 8, 17*i - 17*v + 21*v = 127 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -131 + 85. Let m be g\/(-12) + 14\/84. Suppose 4 = -2*x, m*a + 2*x - 690 = 7*x. List the prime factors of a.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, 3, -1, -2094, 2, 4 in descending order.\nAnswer: 4, 3, 2, -1, -40, -2094","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 115\/92*(-99)\/2970?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -100*q**3 + 135*q**2 - 3*q - 12. Let s(d) = 199*d**3 - 271*d**2 + 7*d + 28. Let t(a) = 14*i(a) + 6*s(a). What is the third derivative of t(x) wrt x?\nAnswer: -1236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 12*n + 41. Let g(t) = 8*t + 29. Let v(p) = 16*g(p) - 11*r(p). Calculate v(11).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 59 + 8 + (-4)\/(1\/1). Let x = 67 - j. What is the remainder when 11 is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 11231093, 11231094, 11231095, 11231096, 11231097?\n\"Answer: c + 11231092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2415)\/805*(-30)\/(-27)*-6.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11392354573 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17858340 and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 6 (b) 3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -118051 - -3\nAnswer: -118048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 2*t - 166 = 2*y, -y = 5*t - 28. List the prime factors of y.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -489*s**3 + 192*s**3 + 386*s**3 - 5*s**2 + 5*s**2.\nAnswer: 89*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a gram in milligrams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -11 + 379. Is 1 - (-2)\/1*h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3*w. Let q be y(-2). Let h(j) = j**3 - 6*j**2 - 1. Let r be h(q). Let k be (-9)\/(r + -2) + 79. What is k rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4602 and 3422.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l + 1. Let o be y(-4). Let m = -19640 - -19643. Solve -o*w - 4*n + n = m, -2*n - 4 = 4*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2964 at most as big as -2.249?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12144163 != 12144163?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + (14 - 6) + 7?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - 12. Let b(x) = 7*x - 15. List the prime factors of b(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46413.39 nanometers to centimeters.\nAnswer: 0.004641339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 95 = -5*f, -83 = -4*w + 7*f - 6*f. Let b(t) = w*t + 11*t - 33*t + 2. Suppose -3*j + 16 = -2*v + 2*j, 3*v - 2 = j. Give b(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/378 and -97\/378.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, y: 2}. What is prob of sequence ww?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26803?\nAnswer: 7, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*s - 1880 = 12*s. List the prime factors of s.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/14 and 33\/(-4) + -2 + 3.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48992321?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -53\/4 + 273\/20. Let j = 0.6 + -0.3. Let i = 0.7 + j. Which is smaller: x or i?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2, 4*z - 5*z + j + 15 = 0. Suppose 1 = -2*x - z. Let m(u) = -9*u - 4. Is m(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5581847?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -337, -807, -1279, -1753, -2229, -2707, -3187?\nAnswer: -3669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -466\/5 and -93 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a week in hours?\nAnswer: 196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1695748?\nAnswer: 2, 43, 9859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -21, 1 in decreasing order.\nAnswer: 1, 0, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 5*o**5\/3 - 9810*o**4 - 265595*o**3\/3 + 628940*o**2 - 825300*o = 0.\nAnswer: -14, 0, 2, 3, 5895","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11\/6 - -5\/3. Let w = -0.24693 + -6.75307. Put 0.3, w, 4, l in decreasing order.\nAnswer: 4, l, 0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60725426 to the power of 1\/2, to the nearest integer?\nAnswer: 7793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of o**4\/14 - 2*o**3\/21 + 19. Let p(z) = 0. What is z?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4*w = u - 20, 5*u = -2*w + 73. What is the greatest common divisor of 15 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -12*o**2. Let w(l) be the second derivative of l**4\/12 - 15*l. Determine g(w(h)).\nAnswer: -12*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9\/(-36))\/((-4)\/240*3). Solve -f - 1 = 4*g, -4*f + 2*f + z*g - 2 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*n - 226*n + 137*n.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 374 - 7852\/21. Let n(w) = -w**3 - 10*w**2 - 6*w - 7. Let z be n(-10). Suppose 0 = 7*s + 18 - z. What is the third biggest value in -3, -0.1, s, u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5851 + 28642. What is f rounded to the nearest 100?\nAnswer: 22800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1240948?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2669.795 seconds in microseconds?\nAnswer: 2669795000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i**2*w**2*y - 30030*i**2*w*y + 2*i**2 + 126*i*w**2 - 302*w**2 with respect to y.\nAnswer: -2*i**2*w**2 - 30030*i**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 174781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*f + 16*f - 23*f.\nAnswer: 100*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1562*t*z**2 + 293*z**2 with respect to t.\nAnswer: -1562*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - -26. Let d(b) = -28 + h - b**2. Let v(z) = z. Give v(d(c)).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 11137488 divided by 15888\nAnswer: 701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 333 = 4*q - 560, 540 = 3*b + q. Is b a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137\/(-3836)*854*1*(-6)\/(-3)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + 33*a + 30. Let g be h(-31). Let r(x) = 5*x - 8. Let w be r(-5). Which is greater: g or w?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**3\/4 - 1416*x**2 - 5663*x\/4 = 0. Calculate x.\nAnswer: -5663, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6252968 is divided by 6252948?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.02783579 + -0.02786. Round n to 6 dps.\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - d + 1. Let m(u) = u**3 + 2*u - 2. Let s(k) = -m(k) - 2*t(k). Give s(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 121338360 and 5720.\nAnswer: 5720","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -45 (b) 2\/9 (c) -2\/7 (d) 0.27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -1, 19, 1, 6, 2 in decreasing order.\nAnswer: 19, 6, 2, 1, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.15 + -2?\nAnswer: -38.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*a + 40*a - 680 = 0. Differentiate -684*v + 42 - 5*v**3 + 343*v + a*v wrt v.\nAnswer: -15*v**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**2*j**2*k**2 + 2*c**2*j**2*k + c**2*j**2 + 6*c**2*j*k + 142*c**2*k**2 - 8*k wrt k.\nAnswer: 4*c**2*j**2 + 284*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, t: 2, j: 2, m: 1}. Give prob of sequence txm.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 6 = 5*l - 3*o, 4 = 4*l - 3*o for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -2. Suppose 3*o - x*y - y = -26, -10 = -2*y. Let n(a) = 8*a**2 - 2*a - 3. Is n(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -555, -3.2, 2\/3, -2\/9 in increasing order.\nAnswer: -555, -3.2, -2\/9, 0.5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 2)*(10 - 10 + 2*s).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + 12*m - 4. Let p be k(-12). Is 17 a factor of 51*(0 - p\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*u - 13. Let f be 8\/u*15\/10. What is the second derivative of -2*n**3 + 2*n + 5*n**3 - n**3 + f*n**3 wrt n?\nAnswer: 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -4*q + 5*z + 138, 0 = -4*z. What is the tens digit of (10 - 9)\/(2\/q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f + 1. Suppose -2*r = -3*r - 1. Let d be o(r). Solve d*l - 4 = 2*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3719, 3750, 3853, 4064, 4419, 4954, 5705, 6708?\n\"Answer: 6*t**3 - 11*t + 3724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - 1880\/616)\/(2\/(-7)). Which is the third biggest value? (a) -2\/7 (b) 2\/35 (c) 1 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -824, -6485, -21828, -51689, -100904?\n\"Answer: -806*p**3 - 5*p**2 - 4*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3 - 2*z**2 + 12*z - 20 - 28 + 3*z**2 + 37*z. Let f be c(-50). Solve -f*t + 5*l - 4*l = 17, 4*t + 14 = l for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -31*r - 6. Let i be h(-6). Is 3\/7 - i\/(-21) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29674.428 rounded to the nearest 100?\nAnswer: 29700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, 74, 93, 92, 65, 6, -91, -232?\nAnswer: -423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5*v = 42, -v + 8 = i + 2. Suppose n - 4*n = -9. What is the lowest common multiple of n and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 605, 3 in descending order.\nAnswer: 605, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of 2*o**3\/3 + 3*o**2\/2 + 2*o. Let v(y) = -15*y - 11. Let n(t) = -22*b(t) - 6*v(t). Let m(g) = -5*g. Calculate m(n(r)).\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/(234\/(-56)) - (-2)\/(-13). What is the third derivative of 4*y**i + 5*y**6 - 3*y**2 + 0*y**2 + 2*y**6 wrt y?\nAnswer: 840*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + k - 3)*(40*k**3 + 32*k**3 - 73*k**3) + (k**2 + 4 - 4)*(k**2 + 0 + 0) + 0 - 4*k**4 + 0.\nAnswer: -4*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (966*k - 1925*k + 960*k + 2)*(-5 - 3 - 5) to the form m*k + w and give w.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -285704+-210.011526\nAnswer: -285914.011526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 3*q + 18, 0*q + 18 = 2*b - 4*q. Let r = -6 - -9. Suppose 4*w = 4*s - 4, 0 = 2*s - 6*s + r*w + 3. Which is greater: s or b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/7*(44 + -37).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2209?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -270, 7, 69\/7, -0.3 in decreasing order.\nAnswer: 69\/7, 7, 3, 2, -0.3, -270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 264177 - 66045 + 24*a - 66042 - 66045 - 66045.\nAnswer: 24*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2501471, -2501471, -2501473, -2501477, -2501483, -2501491, -2501501?\n\"Answer: -r**2 + 3*r - 2501473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**3 + 15*p**2\/2 - 17*p\/2 = 0. Calculate p.\nAnswer: -17\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/((-9)\/24) - 3. Suppose -4*h - v - 7 = 0, q = h + 67. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from lyelslyellsyy.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41259 and 38023.\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 62173469795 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/(3366\/2356) - 4. Let q = f - -112\/11. What is the nearest to 0.2 in 2, -5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a litre in millilitres?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 10:08 PM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 7 - (-17 + 15 - -26)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + (1 - (-1)\/(-1)). Let m be (-198)\/(-273) - 5\/((-210)\/(-24)). What is the second smallest value in m, q, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -59 - -134. Let d = g - 34. Calculate the remainder when d is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2405*a - 303031. What is n(-126)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1147903 to the power of 1\/3, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 380 and 501965180?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -220*g - 237*g - 35*g + 16 + 493*g.\nAnswer: g + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hzz. What is prob of sequence zh?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -636 + -275247?\nAnswer: -275884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a meter in centimeters?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a decade in months?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r**2. Let u(m) = 231557791*m. What is u(q(a))?\nAnswer: 694673373*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 101 - 100.9. Which is the fourth smallest value? (a) 15 (b) -1 (c) 0.5 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -226587 divided by -1.\nAnswer: 226587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) -96 (c) -10.76 (d) -118 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/9*(-1 - 11\/(-14)). Let z = 10\/1819 - -625686\/9095. Let q = 69 - z. Which is the smallest value? (a) r (b) 2\/7 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of 31*m**8\/336 - 2*m**4\/3 - 3*m**2. Find the second derivative of g(f) wrt f.\nAnswer: 620*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-4) + (12 - 1). Let z = w + -9. Which is smaller: 2\/11 or z?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 257745*a + 257751*a + 0 - 2 + 1.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 31*d + 27*d + 80 = 0, -5*d + 15 = 0. Solve 5*u - 15 = 0, u + 5 = 3*x + j for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 14*i - 25. Give q(17).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, o: 2, z: 3, f: 1, s: 1, q: 4}. What is prob of picking 1 b and 1 q?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 (base 9) in base 5?\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -11. Let t be (28 + -2)\/((g - -1) + -3). What is the greatest common divisor of t and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*r + 11. Let d = -2 + r. Let u(w) = -7*w - 2. Let i be u(d). Solve 5 = -q + i*f - 5, 0 = 3*q - 3*f - 6 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005222 to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s = -10*s - 4*v - 25, 4*v = -20 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1341921 to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5*(0 - (-9)\/5). Suppose 4*z - 5*l = 8, -11 = -z + 2*z + 2*l. Let s = p + z. What is the greatest common divisor of s and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 4:33 PM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -934, 0.0097, 0.6, -0.3 in descending order.\nAnswer: 0.6, 0.0097, -0.3, -1, -934","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24535410 is divided by 484?\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 5*c. Let z(w) = -w**2 - 32*w - 7. What is r(z(j))?\nAnswer: -5*j**2 - 160*j - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -57 - -49. Let i(c) = 3*c**2 + 18*c + 2. Calculate the remainder when i(l) is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12 + 25 + 9)*(-267*b + 3*b - 48*b) to i*b + q and give i.\nAnswer: -14352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 divided by -272130?\nAnswer: -77\/272130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 0 + 10. Solve 4 = z + u for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -64020240 by -5778.\nAnswer: 11080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 to the power of 1\/6, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - -2. Let r = 11.98 - m. Let j = -0.22 - r. Put j, 4, 5 in ascending order.\nAnswer: j, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 11:13 PM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -31, -125, -353, -781, -1475, -2501?\n\"Answer: -11*i**3 - i**2 - 14*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1002, -4022, -9034, -16026, -24986, -35902, -48762?\n\"Answer: 2*m**3 - 1008*m**2 - 10*m + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 + -3)\/(15 + ((-2200)\/6)\/25).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 48\/5 of a litre?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 879, 6957, 23451, 55569, 108519, 187509?\n\"Answer: 868*p**3 + 2*p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (88\/(-10))\/(24\/(-60)). Suppose -5*l + 4*u = -z, 4*u + 9 = 3*l + 3*u. Suppose l*m - 53 + 11 = 0. Is 7 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157185324787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 28 = -2*x, -3*i - 2*x = x - 27. Calculate the common denominator of (-52)\/(-3)*1 + 2 and (276\/60)\/((-8)\/i).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 490204.8 to the nearest ten thousand.\nAnswer: 490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z - 12. Suppose 196 = 66*n - 200. Give q(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1\/7 (b) 2.266 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (1 + (0 - (-7 - -7)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, 209, 438, 667, 896, 1125?\nAnswer: 1354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -1 + 1 + 2*x. Let u(h) = -2*h - 8*h - 4*h**2 + 10*h. Determine u(t(b)).\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 68171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 125200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*w + 7*w = 23856. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3*(-4 + -5 + 4*(sqrt(243) + 3))*-3)**2.\nAnswer: 87480*sqrt(3) + 1578285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 314585922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 912 and 24.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6968, -14542, -22718, -31496, -40876, -50858, -61442?\nAnswer: -72628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01 - 88708745.\nAnswer: -88708744.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12110010012 (base 3) in base 14?\nAnswer: 2b129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/(1*-4*sqrt(5)))**2 + 3 + -2.\nAnswer: 27\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -15*(-2)\/6*-2. Let a be (-2 - (-46)\/25)*j\/(-12). Let g = -0.08 - -3.08. What is the biggest value in -0.2, 4, g, a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -5*t - 10, -35*k = -40*k + 5*t + 50. Solve -2*f + k*b + 21 = 0, 30 = -5*f - 7*b + 3*b for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 286000 and 520000.\nAnswer: 5720000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 52.638 + -53. What is u rounded to 2 dps?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (-38 + 14) - 15?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -35 (base 10) to base 14\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 2*l = -u - 3250, -l = -2*u - 816. Calculate the remainder when l is divided by 74.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1231711, 1231713, 1231715, 1231717, 1231719?\n\"Answer: 2*o + 1231709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.9 - -0.1. Let q = 0.1 - 2.1. Let k = q - f. Is -2\/3 greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 2)\/((-4)\/(-16)). Let z = 9 + g. Let h = 0.2 - 0.3. Are z and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/1103576 and 69\/2758940?\nAnswer: 5517880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1597954 and 717?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10858116 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000111101100110000 - -10100010?\nAnswer: -1000111101010001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*r = -200*r + 1315 + 4803 for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i + 2. Let t be j(0). Suppose -25 = -t*x - 3*x. What is the common denominator of 14\/x*15\/4 and -41\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9001284?\nAnswer: 2, 3, 31, 24197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.07, -29, -0.4, -4, 8, 2, -5 in decreasing order.\nAnswer: 8, 2, 0.07, -0.4, -4, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 5580, -2, 0 in descending order.\nAnswer: 5580, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*o**2 - 2*o - 257*o**2 - 465 + 55*o**2.\nAnswer: -299*o**2 - 2*o - 465","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 257050*l**3 - 514530*l**3 + 257122*l**3.\nAnswer: -358*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**2 + 67 + 0*y**2 - 16 in the form c + u*y**2 + s*y and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/3, 19, -3, 0.1, 4, 624\/11?\nAnswer: 624\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/60 + 725400\/18000?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*j - 60 = 0. Let o be 656\/40 - (-9)\/j. Calculate the greatest common divisor of o and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hqahbhbxbhavahh. Give prob of picking 1 b and 1 v.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (3 + 9 - 7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (-27 + 19) - (28 + -6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4246796)\/4088784 - 4\/(-14). Let q = -45\/1132 - d. Let v = 2\/43 - q. What is the nearest to v in -4, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fl when two letters picked without replacement from rlfkjjhk.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 533?\nAnswer: 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 11:14 PM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - u. Let x(j) = 5*j**2 + 13*j + 57. Let c(l) = 6*a(l) - x(l). Differentiate c(p) wrt p.\nAnswer: 2*p - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 + -24. Suppose 7*h = c*h - 7. Calculate the remainder when 12 is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 252512\/24 - (-14)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 4740.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -0.5 (c) 19\/409\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a micrometer in nanometers?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 j when two letters picked without replacement from ddjdddjdjd?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 84 = -0*j. Let w = j + -19. Let f(m) = m - 4. Let u be f(7). Solve 6*x = w*x - 3*q + 7, 14 = u*x + 4*q for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*i + 40*i - 17*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 414154240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and 23001731.\nAnswer: 23001731.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 13*x**2 + 17*x + 504. Calculate v(16).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11714.\nAnswer: 2, 5857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 8 = -3*d, -6*t = -2*t - 8. Solve a = d*a - 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n - 24*n - 13*n.\nAnswer: -30*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-352)\/(-12)*(-1 + 964)?\nAnswer: 2, 3, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/(-1672) - 1\/22. Put 0.12, 0.2, -0.2, k in descending order.\nAnswer: 0.2, 0.12, k, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*-1*sqrt(108))\/(-1*sqrt(432)))\/((sqrt(240)\/sqrt(5) + sqrt(48))*-5).\nAnswer: -sqrt(3)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 + 8. What is s(4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17452490?\nAnswer: 2, 5, 11, 29, 5471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 490 and 147?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -1033 and -1034 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*k = -28*k - 917. Let j = k - 5. What is the greatest common divisor of 18 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -4*g**5 + 41956*g**4 - 109110652*g**3 - 4778758772*g**2 + 23301081056*g + 2025343495216 = 0.\nAnswer: -31, 19, 5266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 11. Let n(j) = j**4 - j**3 + 13*j**2 - 19*j + 2. Let m(y) = -2*y**4 + 2*y**3 - 14*y**2 + 20*y - 1. Let b(s) = l*n(s) - 4*m(s). Factor b(p).\nAnswer: 3*(p - 1)**3*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 8 + 2*i + 18.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s - 9*s + 272446 = 24046. What is the ten thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1335.8 - -1336.2. Let j = -6.712 - -0.012. Let h = 7 + j. Which is the nearest to -0.1? (a) n (b) h (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q - 2. Let f be c(0). Let s be (2 - 4\/(-22)) + f. Which is greater: -1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + 5*c**2 + 4. Let v be m(5). Suppose -4*x + 21 = l, v*l = 2*x + 3*l - 3. Differentiate 4 - x + 5 + 1 - 2*d with respect to d.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11955?\nAnswer: 3, 5, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1766 is divided by 25?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -75*i - 6. Let r(v) = 368*v + 29. Give 11*a(k) + 2*r(k).\nAnswer: -89*k - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of 149*d**7\/35 - 401*d**3\/6 + d**2 + 1136*d. What is the derivative of l(h) wrt h?\nAnswer: 3576*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2240 = -254*z + 2840 for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, 0.0648, -0.5 in descending order.\nAnswer: 2\/17, 0.0648, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 781, 2758, 6067, 10708, 16681, 23986, 32623?\n\"Answer: 666*y**2 - 21*y + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 9*k**2 + 12. What is y(9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 269926371 divided by -11?\nAnswer: -24538761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + 53b790c0?\nAnswer: 53b790b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 - -500.\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15664.\nAnswer: 2, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 12*z**2 + 127*z + 5. Give p(-11).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*q**2 - 55*q**2 + 21*q**2 + 19*q**2.\nAnswer: 17*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) - (sqrt(153) - -3*sqrt(153)*-3)) + (sqrt(153) - ((sqrt(153) + -4*sqrt(153))*5 + sqrt(153) - sqrt(153))))\/(2*sqrt(54)\/sqrt(24)*-1).\nAnswer: -25*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 497246848 and 10471?\nAnswer: 10471","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1020 + -120?\nAnswer: -1140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 763 and 126889.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3821 + -3773. Solve 0 = -u*p + 39*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 9:50 AM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5612023 (base 7) in base 13?\nAnswer: 1b30a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -11, -3, 3, -12, 0 in ascending order.\nAnswer: -12, -11, -3, 0, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n - 29628 - 3972 = 0. Round n to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*q + 9*q - 22*q in the form i + j*q and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 181 - 2\/(3 - 35\/10). Suppose 0 = s + 2*g - 187, g - n = -4*s + 3*s. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - a - 1. Let y(i) be the first derivative of -7*i**3\/3 + 2*i**2 + 5*i + 2. Determine -5*g(k) - y(k).\nAnswer: 2*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149513*l**3 + 614742*l**3 - 33736*l**3.\nAnswer: 730519*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + 2 + (-494)\/6. Let s = r + 80. Factor -2\/3*l**2 + 0*l + s.\nAnswer: -2*(l - 1)*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 1:40 AM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (3 - (3 - 3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6072? (a) -1\/7 (b) 53\/3 (c) 5 (d) -31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*r - 95*r + 251135 + 74*r - 251136 + 176*r.\nAnswer: 239*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 13 (b) 15 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 89383502 to the power of 1\/2, to the nearest integer?\nAnswer: 9454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 59.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-273)\/1274 - 1182\/(-28). Calculate the greatest common factor of w and 258.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*d = 17*d - 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 93128077 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -324\/5 + 34\/5*g**3 - 253\/5*g**2 - 1\/5*g**4 - 612\/5*g.\nAnswer: -(g - 18)**2*(g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -14.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -j**2 - 53730*j + 107464 = 0.\nAnswer: -53732, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2501*g - 61594 + 1069 - 27010 for g.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2780820, -5561646, -8342472, -11123298, -13904124, -16684950?\n\"Answer: -2780826*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -95*x**2 - 1315*x + 210.\nAnswer: -5*(x + 14)*(19*x - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7140 - 7010. What is the remainder when 508 is divided by t?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -174 - -385. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63284793\/165 - 42\/35 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1913 is divided by 25?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pvg when three letters picked without replacement from gvppggfg?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 m when two letters picked without replacement from yjyjpjmyjtzjyzjjy?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -81 + 190. Is z a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 4\/15, -1912, -3\/4 in descending order.\nAnswer: 4\/15, -0.5, -3\/4, -1912","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k**2 + 0*k**2 - k**2 + (15*k + k - 4*k)*(2*k + 0*k - k).\nAnswer: 14*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3*f - 1 + 1)*(13 + 3 + 4) + 3*f - 3*f + f)*(-9*f**3 + 18*f**3 + 13*f**3) in the form z*f**3 + j*f**4 + k*f**2 + i*f + m and give j.\nAnswer: 1342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 447*b**3 - 20*b**2 - 25*b + 26. Let q be n(18). What is q rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16.10228 + 16.1. What is l rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0\/2)\/((-15)\/(-15)). Sort -5, a, 5, -9 in descending order.\nAnswer: 5, a, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 33517?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 93, 355, 791, 1401, 2185, 3143?\nAnswer: 4275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 7*u - 1. Let q(t) = 5*t**2 - 10*t - 12. Let h be q(-3). Let v = 265 - h. What is the remainder when v is divided by j(5)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + 2*g - 3. Let w be a(2). Suppose 4*j - 72 = -4*b, -w*j = -2*b - 131 + 13. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 8103*j - 24311. Determine s(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 4*s = 3*s + 10, -2*l + 5*s - 14 = 0. Let w be 104\/48 + l + (-33)\/(-18). Suppose -w*t = 7*t - 27. Solve -2*y + 3*y = t for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from twdqqtyyqyy. What is prob of picking 2 q?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-6) + (-9)\/(-27). Suppose -3*j + 8 = 4*r - 0*j, d = -r + 4*j + 2. What are the prime factors of r + 4508\/35 - 1\/(-5)?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 22, -4.\nAnswer: -5, -4, 2, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 1, -2\/9, -2\/3, -126?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -1826*a. Let r(p) = -2*p**2. Give r(x(d)).\nAnswer: -6668552*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -466 by -8206.\nAnswer: 233\/4103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 1, 0.05, 0.08, -0.052, 3\/2?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -4*b - 414. Let w = 73 + b. Suppose 4*i - 762 = -2*z, -w*i + 2*z + 753 = z. What are the prime factors of i?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + 12*n**2 + 11*n + 2. Let g be a(-11). Sort g, 3, -2 in increasing order.\nAnswer: -2, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (29 - (11 + -5)) + (-11 - -2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -4. Suppose 5*x + o = -76, -2*x + 5*x + 40 = -2*o. Let q be (x\/(-10))\/((-4)\/(-10)). Solve -y*p + 4*p = q for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 13 (b) 24\/7 (c) 136\/81\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/(710\/72 + -10). Calculate the greatest common divisor of u and 8136.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 698895 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1988 - -2345. Calculate the greatest common factor of 21 and h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20468 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5450, -9421, -13392, -17363, -21334, -25305?\n\"Answer: -3971*g - 1479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 5*c**2 - 8*c - 6. Let s be 1\/5 - 28\/(-10). Suppose 4*d + 3*t = 27, 0 = 3*d - s*t - 2 - 13. Let w(a) = -6*a**2 + 9*a + 7. What is d*w(n) + 7*j(n)?\nAnswer: -n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 95*g + 5. Let h(t) = 47*t + 2. Determine -4*c(m) + 9*h(m).\nAnswer: 43*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t - 1. Let q(m) = 2*m + 20. Let u be q(-11). Let i be j(u). Let o(z) = -z - 2. Let g(p) = 1. Determine i*o(n) + 3*g(n).\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*d**3 + 5495*d**2 - 213640*d + 2551920 = 0 for d.\nAnswer: 28, 651\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**3 - 2*f + 2*f + (-2*f**2 + 0*f**2 + 4*f**2)*(1 - f - 1) + (-1 + 2 - 2)*(-2*f**3 + 4 - 4) + (-24*f**2 + 13*f**2 + 18*f**2)*(4*f - f - 8*f).\nAnswer: -37*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1526, 7582, 24048, 56132, 109042, 187986, 298172?\nAnswer: 444808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-17 - (35 + -32)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85893666.\nAnswer: 2, 3, 14315611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + q + 16 = 0. Let c = q + 8. Suppose c*h + 10 = -h + s, 4*s - 21 = h. Which is smaller: h or 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 0 (c) 3\/2 (d) 14996 (e) -20 (f) 2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52 + -4 - -2) + (-36 - (8 - 41)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/2 - 14\/(-7). Let b(i) = i**3 - i - 1. Let v(j) = -j**2 - j + 5. Let z(f) = -5*f**2 - 8*f + 16. Let r(x) = -4*v(x) + z(x). What is w*r(g) + 4*b(g)?\nAnswer: 4*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of 5*i**4\/24 + 5*i**3\/6 + 3*i**2. Let s be c(-7). Let u = s + 83. Round u to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/153*(-42)\/(-168)*-24?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -2\/47, 0.2, -13.7?\nAnswer: -13.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 90709 to the power of 1\/2, to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 10, -2, -3 in descending order.\nAnswer: 10, -2, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 6*m + m)*(7*m**2 - 8*m**2 - 2*m**2).\nAnswer: 9*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -14024002 (base 6) to base 15\nAnswer: -943e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1186 less than -1.72241?\nAnswer: -1187.72241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5787024703?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 160273 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -682512 by 6.\nAnswer: -113752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of 0 + 12*f**2 + 0*f - 11\/24*f**4 + 25\/6*f**3. Find the first derivative of m(d) wrt d.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1099 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3008, 25116, 85984, 205268, 402624, 697708, 1110176?\nAnswer: 1659684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**2\/t)**(4\/7)\/(t**(2\/7)\/(t*t\/(t\/(t*t**(1\/7)*t))*t)) assuming t is positive.\nAnswer: t**(31\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -1\/1589724?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**2 - 5*i - 28. Suppose 4*h + 28 = -3*m, 0 = 5*h + 6*m - 7*m + 16. Determine u(h).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + c - 0*c - 659, 2*c + 2642 = 4*r. Suppose -4*y = -10*y + r. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1416976073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1826 and 298966.\nAnswer: 3288626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4.1, 3, 4?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 - 24 = -5*y. Is 3 a factor of (-536)\/(-40) + 6\/y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8514 and 10406.\nAnswer: 93654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 19560464 divided by 22?\nAnswer: 889112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -121*g**2 - 827 + 102*g**2 + 819 to r*g**2 + x*g + n and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -17775.38+60\nAnswer: -17715.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/2*4*(-9)\/(-54)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(209)\/sqrt(176) + -6*(sqrt(19) + 1).\nAnswer: -23*sqrt(19)\/4 - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, u: 1, e: 3}. What is prob of sequence uq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 629 - 38 = 3*o + 63*z, 2*z + z = -4*o + 51 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -5*f**4\/12 + 4*f**3\/3 + f**2. Differentiate p(i) with respect to i.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 0 - -1) + 6 + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14.99999916 + 15. What is z rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 + 5*h + 1 + 0 - 3. Suppose -4*i = -2*c - 0*c + 26, 2*c = 3*i + 22. What is a(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o + 6. Let h be t(6). Let z(y) = -y**2 - 13*y - 12. Let g be z(h). What is the tens digit of g + -1 - 60\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 85*m - 81*m - 12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*u - 2*o = -57*u - 30, -8 = -3*u - 4*o for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*b - b**2 - 2 + 6*b + 0*b**2 + (7 - b - 7)*(1 - 1 - 2*b).\nAnswer: b**2 - b - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 1. Solve s*h = -5*o + 3*h - 17, -4*o - 2*h = 18 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25 - 451?\nAnswer: -422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**3 - 3*n**4 - n**3 - 3*n - 3 + 4*n**3 + 4 as p*n**3 + l*n**2 + j*n + g*n**4 + u and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -41*n**3 + 2 - 133*n**3 - 1. Let x be r(-1). Let y be ((-232)\/(-6) - (17 - 14)) + 4\/(-6). Calculate the highest common divisor of x and y.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/5 + (-38)\/(-5). Let b = p + 0. What is the smallest common multiple of b\/(-20) + (-42)\/(-5) and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 4*c + 32, 5*r - 39 - 5 = c. Let q = -6 + r. What are the prime factors of (q - 2)\/(1\/13)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 0 + 0)*(l + 2*l**3 - l) - 702*l + 702*l - 11*l**4.\nAnswer: -15*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 9459.03909 and 282211.\nAnswer: 291670.03909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 244, 3, -8, -4 in decreasing order.\nAnswer: 244, 3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/5 - 242*o\/5.\nAnswer: o*(o - 242)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 51 - 46 = 0. Solve -4*g - l*v = g - 40, 0 = g + 4*v - 23 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - -115)*(-1)\/(-3). Let q = -20 + v. Suppose -20 = -0*f - 2*f. Calculate the smallest common multiple of q and f.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.551 - -0.251. Let q = -20 - -6. Let w be (-4)\/q - (13\/21 - 1). What is the second smallest value in 3, w, v?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-9) - (-13)\/3. Suppose 0 = -b*z - 0 - 4. What are the prime factors of (-2 + z + -24)*-2?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96\/(-54)*1\/4?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 248.32 and 0.1.\nAnswer: 24.832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 293119421?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of 0 + 24*h**2 - 77\/12*h**4 - h - 13*h**3. Differentiate u(q) with respect to q.\nAnswer: -154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 66 and 3.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 21689, 21684, 21679, 21674, 21669, 21664?\n\"Answer: -5*i + 21694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**2 - 113*g + 1549. Let m be r(23). Suppose 9 + 1 = 2*a. Suppose -a*t + 3*t = -4. Solve -5*q + m = 2*f, 4*q - t - 2 = -4*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 470, 938, 1406, 1874?\nAnswer: 2342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 12:56 AM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 32\/464 + 316\/464. Find r, given that 0 + 3\/4*r**2 + 3\/4*r**3 - t*r**4 - 3\/4*r = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -10*k**2. Let m(w) = 219*w + 217*w - 433*w. What is m(b(j))?\nAnswer: -30*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9136302 divided by 5.\nAnswer: -9136302\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 20 = 4*f + 4*a, 5*f + a - 29 = 0. Suppose -f*j = -10*j - 8. What is the units digit of 3 - j\/((-6)\/(-117))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 5) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (213*w - 405*w - 386*w)*(-5 + 5 + 2*w**2 + 5*w).\nAnswer: -1156*w**3 - 2890*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/(-6))\/((-1)\/8). Let f(s) = s**3 - 2*s**2 - s + 2. Let a be f(2). Suppose -i + n*i - 27 = a. Calculate the smallest common multiple of 9 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (27\/(-12))\/(0 - 6\/64). Suppose 1852 = -20*r + g*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2579 + 1?\nAnswer: -2578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (1 - -2) + -7 + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 227, 230, 199, 122, -13, -218, -505?\nAnswer: -886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 751?\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (1 - -54) + (19 + -18 - 16).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 10*f**2 + 10*f - 2. Give k(-11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2594, 5186, 7778, 10370, 12962, 15554?\n\"Answer: 2592*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q - 18. Let u(x) = -2*x + 18. Let z(g) = -6*t(g) - 5*u(g). Suppose 3*j - j + 24 = -3*h, -h - 3*j = 8. What is the tens digit of z(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 3:04 AM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 18544, 1, -3, -27 in descending order.\nAnswer: 18544, 1, -3, -14, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6263, -6264, -6265, -6266?\nAnswer: -6267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/3)\/((-2681)\/6894).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 56 + -40. Let x = v - 12. Let w(j) = j**3 + 6*j**2 + 7*j + 5. Let k be w(-4). Solve 0 = -3*s + 3*o + k, 2*o = 2 - x for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 203*a**2 - 44*a + 280. What are the prime factors of u(8)?\nAnswer: 2, 5, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/2, 1872, 2.\nAnswer: 2, 5\/2, 1872","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 3:02 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-five quarters of a meter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -77*i + 17085. What are the prime factors of t(-147)?\nAnswer: 2, 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 - v + 7. Let c(k) = k**3 - 9*k**2 + 3*k - 22. Let s be c(9). Let x(m) = -m**2 + 2*m + 9. Let o be x(s). What is b(o)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -5\/4, 0.5, 1, -8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of (-123)\/246*(-5434 - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4352 and 856?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5\/56 - 2049\/56. What is the common denominator of (-4)\/21*(-57)\/(-2) and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 213\/11 - 593\/88. Find the common denominator of 18\/((-30)\/(-7) - 2) and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45117 is divided by 293?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eef when three letters picked without replacement from {u: 1, e: 2, c: 4, f: 1, g: 3}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-52)\/234*16\/(-2)*2*36\/16\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -13288, -26, -2, -3 in ascending order.\nAnswer: -13288, -26, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 485347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 659, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -905 and -0.3.\nAnswer: 271.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*u - 69*u + 14*u)*(-35 + 16 + 18 + 8*u).\nAnswer: -488*u**2 + 61*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in -385\/8, 4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000000 + -11111110010010000?\nAnswer: -11111110110010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -233707*g*z**2 + 3121*g*z + 23*z**2 + 652 wrt z.\nAnswer: -467414*g + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -11 + (-25)\/15*-93. Let k(m) = -m**2 + 9*m + 2. Let b be k(9). Suppose 0 = -b*z - 8 + 32. What is the greatest common divisor of x and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000035171 to 6 decimal places.\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 53 = -22. Let n = -9 - q. Solve 14 = 4*g - n for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.61 to one dp.\nAnswer: 7.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 106377.6978 rounded to the nearest 100?\nAnswer: 106400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 6*k - f + 10, -40 = 8*k + 3*f for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 138, 135, 132, 129?\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, h: 2, s: 1, r: 2, u: 8, b: 2}. Give prob of sequence rbwr.\nAnswer: 1\/7140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/((-4*sqrt(1100) - sqrt(1100)) + sqrt(1100)).\nAnswer: -sqrt(17)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 1968*r + 17 + 15 - 32. Let f(w) = w**2. Calculate d(f(b)).\nAnswer: 1968*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -192 times -0.1\nAnswer: 19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 4*g - w = 58, -66 = -g - 3*w. Suppose -6*a + g = -3*a. What is the remainder when 59 is divided by a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8659174*a**2*x**2 + 637759*a*x**2 - 2*a wrt a.\nAnswer: 17318348*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -44*i + 74. What is the hundreds digit of j(-28)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**2 - 5*f - 1. Let c be h(-5). Let j be c\/40 + 10\/25 + 0. What is the closest to j in 1\/4, 4\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in n**2\/10 - 2141*n\/10 + 214 = 0?\nAnswer: 1, 2140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1709.1 to the nearest ten.\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87185478?\nAnswer: 2, 3, 131, 110923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w - 1. Let q be x(5). Let c(j) = -5*j**2. Let m(f) be the third derivative of -f**5\/60 + 4*f**2 - 487*f. Give q*m(s) - 2*c(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.019185226 - 0.03\nAnswer: -0.049185226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 204\/16 + (-1)\/(-4). Suppose 18*h = q*h + 20. Suppose 0 = 3*d + 2*u + u, -h*u - 16 = 0. Solve 2*w - 26 = d*p - 3*w, 4*w + 4 = -3*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112273434563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6446 is divided by 3100.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*j + 12*j + 124 + 115 - 51 in the form a*j + h and give h.\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 7*r**3 + 224*r**2 - r - 16. Calculate z(-32).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 366316*o**2 - 366198*o**2 + 25 - 25.\nAnswer: 118*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -v + 4*u, -5*v + 2*u = -u - 14 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 4:39 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven halves of a tonne?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sfvs when four letters picked without replacement from sfsfjv?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 3*n + 159 = 0, z = -4*z + 4*n - 260. Let i = -28 - z. Let d = -10 + i. Solve -3*w = -2*y + d, 3*y - w = 7*y - 20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**4\/3 + 22*r**3\/3 + 20*r**2\/3 = 0 for r.\nAnswer: -10, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 5*l**2 - 964*l - 516. What is h(192)?\nAnswer: -1284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1*-3*-6*1*sqrt(13)*1*-2)**2.\nAnswer: -67392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 10 = 3*v, 2229*f = 4*v + 2234*f - 18 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uzuiu. Give prob of picking 2 u.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116486508378 - 1069*l**2 + 116486508378.\nAnswer: -1069*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - -1. Let j = d + 98. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 199 + 1. Let l = g - 54. What is the remainder when l is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1956)\/(-132) - 15 - (-86)\/(-11).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4 = -11. Let x be (-22)\/(-8) - 4\/(-16). Let w be 0 + -1 + 18\/x. Calculate the highest common factor of h and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74524, 149043, 223504, 297877, 372132, 446239, 520168, 593889?\nAnswer: 667372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 4*g**2 - g + 4. Let r be k(4). Suppose -2*m = -r*m - 8. Calculate the least common multiple of m and 14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-4*-6*(sqrt(832) + sqrt(832) + -1*sqrt(832) + sqrt(832)))**2*-2 - (3 + sqrt(832)*-1 - sqrt(832) - 5*(sqrt(832) - sqrt(832)*-3 - sqrt(832)))).\nAnswer: -23003154 + 816*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-66*y + 10 - 12 + 31*y)*(0 + 0 + y)*(-11 - 3*y - y + 13)*(17 - 17 + 16*y) to the form c + s*y**2 + m*y**3 + j*y**4 + a*y and give s.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of -5*g**3 + 11*g**2\/2 - 7. Find the second derivative of i(l) wrt l.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*y**2 - 8*y + y - 6*y**2 in the form l*y**2 + s*y + p and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 + 7*v + 3. Let l(b) = 3*b + 3 + b**2 + 4*b**3 + 3*b**3 - 2 - b. Let q be l(-1). List the prime factors of h(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*o + 23*o + 222 = 0. Put 3, o, -2 in descending order.\nAnswer: o, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132748432433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 15 = -219. What is the remainder when 200 is divided by s?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2011294513, 2011294511, 2011294509?\nAnswer: 2011294507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 0*z - 424 = 0. Suppose 3*h + z = 2*h. Find the common denominator of 53\/4 and 9\/(-3) + 4\/(-16)*h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 8 = p, x + 4*p + 13 + 4 = 0. Let j = -3 - x. Suppose 0 = -f - 4*i + 3, j*f - i = -f + 74. List the prime factors of f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/5 - 2283*r\/5 - 24992\/5.\nAnswer: -(r + 11)*(r + 2272)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08 * -0.61.\nAnswer: 0.0488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2056 = 161*g + 52*g + 352 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-4914)\/130*410\/(-246)\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lsislsilzmiis. What is prob of sequence mlis?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3136 is divided by 1450.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 7*v = -10*v + 18, -6 = 33*f - v. Let z = -3 - -6. Let c be 2 - 3\/(1 + 2). Solve -y + c + z = f for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 30502148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.057 - -5.357. Let y = 0.3 - m. Let u = -0.2 - -0.1. Which is the closest to u? (a) y (b) -4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 16, 4, -3, 3 in descending order.\nAnswer: 16, 6, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 3*q**2 + 5*q - 2. Let k be u(4). What is the common denominator of 1\/3 and k\/(-6) - 35\/(-33)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qfxx when four letters picked without replacement from {x: 4, n: 2, q: 1, v: 1, f: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/(-2) + 6\/4. Solve -g*x + 8 = s - 5*s, 4*x + s = 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -551290 or -0.2?\nAnswer: -551290","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 350 - -4?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of r**9\/56 - 13*r**8\/336 - 7*r**5\/15 - r**3 + 3*r**2 + 328. Find the third derivative of a(s) wrt s.\nAnswer: 1080*s**3 - 780*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 2*o - 1 + 1)*(-22*o**3 + 74*o**2 - 74*o**2) - 2 + 2 + o**4)*(-4 + 6 - 4 + (-4 + 1 + 2)*(-2 - 3 + 4)).\nAnswer: 43*o**4 + 44*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 47084.4 years in millennia?\nAnswer: 47.0844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*r + 25*r**2 - 62*r - 62*r - 26*r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(-49))\/(((-201)\/(-469))\/((-26)\/4))\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h + 3*h - 2*h - 8251*h**2. Let a be (18\/7 + -2)\/((-60)\/(-35) - 2). Let y be k(a). What is y rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 73696 and 45632864.\nAnswer: 1504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 441 a factor of 12565413?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 2 - 22. Let d(q) = 2*q**3 + 12*q**2 - 13*q + 17. Let h(i) = 13*i + 45. Let c be h(-4). What is the smallest common multiple of l and d(c)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13858026 divided by 442.\nAnswer: 31353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 - -3)*126\/(-14). Solve -11 = -4*o + a for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q. Let v(s) = 4*s + 28. Let j(u) = 5*r(u) + v(u). Calculate the remainder when 137 is divided by j(-7).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-13))**10)**44)**(5\/7) assuming x is positive.\nAnswer: x**(-28600\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -74667, -75163, -75659, -76155?\n\"Answer: -496*j - 74171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -418, -874, -1336, -1804, -2278, -2758?\nAnswer: -3244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 - 28. Let x(i) = -i + 2. What is x(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/6*5\/10)\/(422\/6330).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) 1\/50 (c) 3\/19 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3822, -9229, -14642, -20067, -25510, -30977, -36474?\nAnswer: -42007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three fifths of a day?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 379\/968 + -2\/121. Which is the biggest value? (a) s (b) -2\/21 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35 + -10. Suppose -n = -2*q - 3*q. Let u = -16700.08 + 16700. Sort q, 0.4, u.\nAnswer: u, 0.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -394 times -0.74388\nAnswer: 293.08872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2 + 2*w + 7 + 6 - w**2. Calculate the remainder when z(0) is divided by (1 - 2)\/(3\/(-12)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*t - 0*t + 315. Is t a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**3 - 87*f**2 + 143*f + 16. Give w(-45).\nAnswer: -344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1*sqrt(432) + ((sqrt(30) + sqrt(90)\/sqrt(3))\/sqrt(10) + 3 + sqrt(3) + 1*sqrt(3))**2.\nAnswer: 61 + 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 3*k = -4*m - 46, 3*m + 2*k + 138 = 0. Let i = -26 - m. What is the smallest common multiple of i and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 331, 323, 315?\n\"Answer: -8*z + 339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-10)*845\/338.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -48, -67, -86?\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -2616?\nAnswer: -1308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/2 and 33\/466.\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 + 0 - 71 + 4 - 3 - 3 + (1 - 1 + 1)*(-5 + 3 + 3) - 4 + 0 - 2)*(-a + 2*a - 10*a).\nAnswer: 441*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.042 * -17.\nAnswer: 0.714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 780073 is divided by 225.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1811540.1 months to millennia.\nAnswer: 150.961675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + 8 + 18478 - 3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n - n + n)*(-6 + 1 + 1)*(2 - 1 + 0).\nAnswer: -16*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 + 68955*j + 137898.\nAnswer: 3*(j + 2)*(j + 22983)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 479*q - 238*q - 5 - 242*q. Let n(i) = -i**3 - 7*i**2 - 6*i + 4. Let z be n(-6). Calculate h(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -3*x + 20*t - 24*t, 2*t + 4 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 30 - 3*j + 27)*(-15 + 7 - 18*j + 10).\nAnswer: 18*j**2 + 52*j - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7685618 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3900*l**2*o + 118*l**2 + 33*l*o**2 + o**2 + o - 2594 wrt o.\nAnswer: -3900*l**2 + 66*l*o + 2*o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 10:16 PM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 737.\nAnswer: 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + 44*n - 10. Let l(m) = m**2 - 45*m + 8. Determine 4*l(c) + 3*p(c).\nAnswer: c**2 - 48*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -5. Suppose -g + c + 2 = 0. Let p(m) = -g - m + 0*m + 4. Let r(k) = -4*k - 4. Calculate -2*p(d) + r(d).\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 12. Let w(j) = -j**3 + 9*j**2 - 6*j. List the prime factors of w(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 24\/(-14)*(7 + 14 + -7). Let v = -5 + 8. Calculate the remainder when (-1)\/4*v*n is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/3)*w*w)**(-15\/2)*((w**7*w)\/w)\/w**(-7) assuming w is positive.\nAnswer: w**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 + 13*a + 3*a - 16*a. Let d(u) = -51*u**2. Calculate y(d(g)).\nAnswer: 2601*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/(-105) - 42418\/(-210). Let n = 202 - x. Factor 1\/7 - 1\/7*z + n*z**3 - 1\/7*z**2.\nAnswer: (z - 1)**2*(z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 7 = -102. Calculate the greatest common divisor of 190 and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*w - 828 - 612 = 0 for w.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 651601 - 6125?\nAnswer: 642443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 4*k + 4610. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*p**3 - 43*p**3 - 38*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -1250*a + 1250*a - a**4 + 5*a**3 - 2*a**2 as o*a**2 + t*a**4 + s + z*a + h*a**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(500) + 0 - (sqrt(5) + sqrt(55)\/(sqrt(33)\/sqrt(3)) + -2)) + sqrt(30)\/((sqrt(72)\/sqrt(6))\/sqrt(2) + sqrt(6)) + 1 + 0.\nAnswer: 3 + 37*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11963?\nAnswer: 7, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 490322, 5, -2, -4, -1, 2, -3 in descending order.\nAnswer: 490322, 5, 2, -1, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -3 (c) -1\/3 (d) 2 (e) -52 (f) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p**3 + 4*p**2 - 3. Let o(u) = -5*u**2 - 7*u**3 - 9*u**3 + 12*u**3 + 3. Let g be (-33)\/(-7) - (65\/(-7) - -9). Give g*z(m) + 4*o(m).\nAnswer: -m**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one fifth of a millennium?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -200 + 3?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - 2)\/((-2)\/(-4)). Let i be 5\/j + 1\/(-2). What is the third derivative of d**2 + 4*d**2 - d**3 + d**2 - 4*d**i wrt d?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232 is divided by 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 4 + 6. Let i = -234 + 234. Solve -h*a + 0 + 4 = i for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-9))\/(16\/36).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h + 7 + 11*h + 23*h - 95*h - 79*h.\nAnswer: -139*h + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3*v = -3, 0*v = -2*v - 2. Suppose -28 = -2*u - z*u. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, h: 2}. Give prob of picking 2 o.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(((-82)\/(-123))\/(-1 + -1)). Sort 0, -64, a.\nAnswer: -64, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*l - 28 = -346, 0 = -l - 3. Let p(k) = -96*k + 2. Let a be p(-3). Let b = a + x. Is 14 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + q + 82 = 56, 0 = -5*f + 5*q + 65. What is the remainder when 40 is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in 1\/10, 0.98, 5, 2?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9395352 divided by -4?\nAnswer: -2348838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-80)\/40)\/(2\/(-1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -242.796 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -b3 (base 13) in base 16?\nAnswer: -92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 12*s**2 - 10*s + 3. Calculate k(-11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -187*k**2\/2 + 40*k - 77. Find the first derivative of o(f) wrt f.\nAnswer: -187","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/22838 and -143\/6.\nAnswer: 68514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*b - 24*b = -170560. What is the thousands digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**4 - 3890*x**3 - 864305*x**2 - 41895300*x - 579964500.\nAnswer: -5*(x + 30)**2*(x + 359)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4980 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1097*r*w**3 - r*w**2 - 2*r + 4*w**3 + 232*w**2 - 4 wrt w.\nAnswer: 6582*r + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) 0.4 (c) -1 (d) -0.28 (e) 12253 (f) 0 (g) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from ttttkktttttt?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + 14\/(-3)*(-69252)\/(-19900)?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 = 5*o + 18. Solve 21*m - 20 = o*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-39139.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37\/((-37)\/(-8052)) - 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -463 (base 10) in base 11?\nAnswer: -391","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61542375 - 498*p + 61542375.\nAnswer: -498*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 33662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 1185*m - 7572. What is z(6)?\nAnswer: -462","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3544 - -2315?\nAnswer: 6162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**2 - 59391*o + 59391*o + 372*o**3 + 0*o**2.\nAnswer: 372*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2 = -b - 3, -3*c + 31 = -5*b. Suppose 0 = 5*n - c*n - 6. Factor -2*o + 3*o**4 + 1 + 0*o + n*o**3 - 4*o**4.\nAnswer: -(o - 1)**3*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) + 1)*5 + -3 + (sqrt(2) - (-1 + sqrt(2))) + (sqrt(96)\/sqrt(4))\/sqrt(12) - (-5 + (sqrt(98) + -1)*1)*-4)**2.\nAnswer: -2898*sqrt(2) + 9963","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 a when two letters picked without replacement from wtwtwatwtwta.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 596176?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 21 = h. Let p be ((-40)\/14)\/((-2)\/h). Let n = 1 + p. Calculate the least common multiple of 8 and n.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/10285 and 1\/110.\nAnswer: 20570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + 4*r + 9. Let f be y(5). Solve -o - o - 6 = -l, l + 6 = -f*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4581\/2 less than 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-3720)*-3092 + (-5)\/(-1). Which is smaller: a or 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 39322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -5 + 29. Let r be (-54)\/m - 1\/4. Let i = -34\/5 - r. Which is the third biggest value? (a) -0.2 (b) i (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and -248945.279311.\nAnswer: -248940.279311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -2638372 and -2638371 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11512293?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02516809359 rounded to 6 decimal places?\nAnswer: 0.025168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -153208 divided by 3482\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 82 = -2*c - 78, 3*c - 6 = 5*o. Factor 0*f + o*f**3 + 1\/2*f**2 + 0 - 1\/2*f**4.\nAnswer: -f**2*(f - 1)*(f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/6*(-3)\/2. Suppose 0 = 2*l + 3*t + 6, -3*t - c - 9 = 0. Let h be 2*l*(-28)\/(-21). Solve -3*z = -3*d, -z + 4*z - d - h = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(2\/3)\/v*v*v)**(-12)\/((v*((v\/(v**2\/v))\/v)\/v)\/((v\/(v\/(v**(-2\/13)\/v))*v)\/v)) assuming v is positive.\nAnswer: v**(-418\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10, 46, 194, 476, 934?\n\"Answer: 7*y**3 + 4*y**2 - 5*y - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3428666?\nAnswer: 2, 41, 41813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0083432 to four dps.\nAnswer: 0.0083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142*w**2 - 13 - 25*w**2 + 13 + 312*w**2 - 148*w**2.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/5 of a century in years?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 92463860*t**2 - 100045987*t wrt t?\nAnswer: 184927720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*v + 52 = -71 - 3 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o + 6*o + 1870 = 0. What is the greatest common factor of o and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -307 at most as big as -308?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1336 - -11?\nAnswer: -1325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/5*-6*105\/(-36)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -206226 - -1444?\nAnswer: -204452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 + 297. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 16892, 17082, 17274, 17468, 17664, 17862?\n\"Answer: p**2 + 187*p + 16704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and 0.12173.\nAnswer: 2.12173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -b + 6*b**2 - 6 + 9 - 6*b**2 - 4*b**3 in the form r*b**3 + v*b**2 + g*b + n and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 1470*a + 110430. Determine b(-75).\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4*a = -34, 0*v = -5*v + a + 68. Suppose -2*t = 4*z, -4*t - z = -0*z - v. Solve 9*b + 15 = t*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 38\/(-9) - -4*(-4)\/(-4). Let p = -0.33 + 0.03. Let x = -0.4 + 2.4. Which is the closest to x? (a) -4 (b) q (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus 165999593617?\nAnswer: 165999593615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -11*h**3 + 12*h**2 - 12*h + 13. Let p(o) be the first derivative of -5*o**4\/4 + 2*o**3 - 3*o**2 + 6*o + 2. Let g(u) = 4*k(u) - 9*p(u). Is g(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(245\/(-6))*(40\/140)\/(34\/(-85)).\nAnswer: 6\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 527.512 - 0.512. Let n = 263 - z. Let d = n + 278.9. Round d to zero dps.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1702.\nAnswer: 2, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 7:08 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 1343?\nAnswer: 1342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 2. Let p = 7 - 3. Let s(w) = -4 + 4 + 2 - 3. Determine p*s(x) - 2*m(x).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12396 + -12000. Calculate the remainder when w is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*x + 3742 = 15*x + 844 for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 + -20. Sort i, -1, 5 in descending order.\nAnswer: 5, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000028433173 to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**2 - 43*p + 17. Let v be k(-22). Let i(a) = 3*a - 1. Suppose 2*b + 3 - 5 = 0. Let j be i(b). Put j, -3, v in ascending order.\nAnswer: v, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 7) in base 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.57963 take away 24462829?\nAnswer: -24462848.57963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3524*b**3 + 4*b + 756 wrt b.\nAnswer: -21144*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -226 + 811. Suppose 3*g + 6*g = k. What is the highest common factor of 20 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of 0 + 3\/10*i**5 + 1\/6*i**3 - 1\/12*i**4 + 1\/2*i**2 + i. Let m be (-455)\/385 + 2\/11. Determine z(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-3)*x*x)\/(x**(2\/5)\/x)*(x*x*x\/x**(-2\/5))**(-24))\/((x**0)**28\/(x\/(x**0\/x)*x\/(((x\/x**(-3))\/x)\/x*x*x))) assuming x is positive.\nAnswer: x**(-83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 13*l**2 - 18*l + 51. Let b be r(12). Do b and -22 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12.425 + 0.275. Let r = y + -12.69854. What is r rounded to 4 dps?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1656*g - 6724 = 6524 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 36, 29, 20, 9, -4?\n\"Answer: -u**2 - 4*u + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -1. Factor 210*k**4 + 108*k**3 + 284*k**i + 42 - 382*k**3 - 24 - 74*k**3 - 114*k - 50*k**5.\nAnswer: -2*(k - 1)**3*(5*k - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.959 + 0.041. Let j = -23 + 21. Put j, v, -0.11 in decreasing order.\nAnswer: v, -0.11, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 5*s + 1925 = 0. Let i = -205 + s. Round i to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102012220022 (base 3) in base 12?\nAnswer: -a7952","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 330 or 1317\/4?\nAnswer: 1317\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**46*(z\/z**(2\/127))\/z)\/(z*z**(3\/17))**47 assuming z is positive.\nAnswer: z**(-216569\/2159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5124 - 3024. What is y rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5727.\nAnswer: 3, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 31, -5, -344\/5?\nAnswer: -344\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(57)\/sqrt(3) + sqrt(1368)\/sqrt(2))**2 + 1.\nAnswer: 1540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (66\/44)\/((-6)\/16). Let u be (-12)\/f*(4\/(-6) - -1). Let z(m) = m**3 - 1. Calculate z(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -27. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + u - 17629 = 0, -866*m + 26450 = -863*m - 5*u. What is the thousands digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -11*z - 6. Suppose 3*m - 9 + 21 = 0. Let g be h(m). What is the units digit of (-1)\/3 + g\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 4*n + 9. Let r = 3 - n. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*m**2 + 2 - 4*m**3 - 3*m + 6*m**3 - 2 to the form i*m + z + t*m**3 + c*m**2 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -293?\nAnswer: -295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1453.064 rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -356 divided by -2.\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p + 160 = -5204. Is p a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 3*o**2 + 3. Let l be d(3). Suppose -l*x + 23 = -2*s, -4*x + 24 = s + 3*s. Solve -q - 8 = -c, x*c - 4*q = 2*c + 35 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 117 + -67. Let q be (47 - 1)*5\/l*5. Suppose -28 = q*x - 30*x. What is the remainder when 5 is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q**2 - 3*q**2 - q**2 + (q + 3*q - 2*q)*(-q + q + q) + 2*q - 2*q + 188*q**2 - 5860*q**2 - 1831*q**2 + 715*q**2 as b*q**2 + k*q + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 3)*(8*b**3 - 5*b**3 + 5*b**3) - 2*b - 2*b**3 + 2*b + b - 2*b**3 - b + (3 - 3 + 2)*(-2*b + 2*b - b**3).\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1837667 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 490 + -9474?\nAnswer: -8dc4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2298431, -2298355, -2298279, -2298203, -2298127?\nAnswer: -2298051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1400285531 to the nearest integer?\nAnswer: 1119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 6:01 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, k: 1, m: 1, p: 4, d: 1}. What is prob of sequence ff?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/79317165 and 59\/30.\nAnswer: 158634330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**2 - 12*a + 20. What is t(7)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 - -16. Let g = c + 4. Suppose -g*p + 38 + 42 = 0. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1540000 to the nearest 100000.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 3*c + 2. Let j be b(-1). Let l = 1150 - 1145. Put l, -2, j in increasing order.\nAnswer: -2, j, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1134784*d**6 - 101241*d**2 - 7 wrt d?\nAnswer: 136174080*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + -2)*(-4)\/16. Let x(f) = 23 + 2*f + 0*f - 4*f**3 + 3*f**3. Is 8 a factor of x(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6811*a**2 - 7414*a?\nAnswer: 13622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 21754 + -8811?\nAnswer: 12943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -127 or -51?\nAnswer: -127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*l + 22 + 18 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 12. Suppose -w*b + b = -972. Suppose 3*s - b = -3*s. Does 6 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x\/x**(-1))*x*x**(-14)*x*x*x**(3\/4)*x*x**(-2\/7) assuming x is positive.\nAnswer: x**(-295\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 p when two letters picked without replacement from plzsifi.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -245, -1, -13, -3 in ascending order.\nAnswer: -245, -13, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288) + (5 + sqrt(2) + -5)**2.\nAnswer: 2 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1922d - -3?\nAnswer: 19232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 19556300289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (4 - (7 + -7))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6527765 at most 6527765?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -3*n**2\/8 + 77733*n\/8 - 542955 = 0.\nAnswer: 56, 25855","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 35. Let t be n(-10). Let r = -75 + t. Is (-3117)\/(-2)*r\/(-15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -8*r. Calculate z(3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1344098027+94372\nAnswer: 1344192399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.18*204\nAnswer: 36.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -15307.7, -0.2, -2\/99 in increasing order.\nAnswer: -15307.7, -0.2, -2\/99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -193253*l + 2*l**2 + 96631*l + 96622*l.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 5*m - 7 + 55 = 0, 3*r - 36 = -3*m. What is the highest common factor of 30 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32163351.\nAnswer: 3, 11, 409, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 n when two letters picked without replacement from nwynnwn?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 1 = -0*r - 5*z, 3*r - 11 = 5*z. Suppose r*f + 1 = 3*j - 13, 24 = 5*j - 4*f. Solve 0 = j*y + 2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5106496?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 584*q**2 + 356*q - 356*q + (2*q**2 + 0*q**2 - q**2)*(7 + 4 - 7).\nAnswer: 588*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1643009831 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -133252*v**3 + 45*v**2 - 166893695 wrt v.\nAnswer: -399756*v**2 + 90*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of 1\/3*m**4 + 1\/120*m**6 - 3\/20*m**5 - 13\/2*m**2 + 10*m - m**3 + 0. Let w(i) be the first derivative of b(i). What is w(8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 21817*a**2 + 3425268*a - 162. Determine q(-157).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1, 5, -0.3, -2, -16, -69?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*b + 17568 + 13463 + 31753 = -1468*b for b.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j + 237 - 237 + (-2 - 3 + 6)*(3*j + 0*j - 4*j) - j + 3*j + j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c. Let y(h) be the first derivative of h**2\/2 - 7. Determine y(l(v)).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 13341000 to the nearest 100000.\nAnswer: 13300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68800 and 1389975?\nAnswer: 1075","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 60 times 47115.7\nAnswer: 2826942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3428013 divided by 111\nAnswer: -30883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 348181 to the power of 1\/2, to the nearest integer?\nAnswer: 590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*p**3 - 16*p**3 + 8*p**3)*(2*p**2 + 3*p**2 - p**2 + (-2 + 1 + 0)*(p**2 - 2*p**2 + 2*p**2)).\nAnswer: -84*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u + u + 4*u - 52 + u**4 + 2*u**2 + 12*u**3 + 37 to the form f*u + a*u**4 + r*u**2 + x + p*u**3 and give x.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 884 + -363. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006906 to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2632 + 4450*m - 8893*m + 4446*m to the form x*m + t and give t.\nAnswer: 2632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -2. Let v(j) = 2*j + 7. Let x be v(u). Which is the nearest to 2\/7? (a) x (b) -4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 - 8*w - 12. Let p be v(-6). Suppose p = 8*q - 3*q - 60. Let i be (10\/(-3))\/((-8)\/q). Solve 4*x - 8 = 2*g, 3*g - i*x = 5*g - 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 59*h**4*s**2 - 161*h**4*s + 1400*h**2*s**2 - 4*h**2 wrt h?\nAnswer: 1416*h*s**2 - 3864*h*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7.8235*2.4\nAnswer: 18.7764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -627 = 107*w + 871 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -2 (c) 0.33 (d) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -9 + 5*l**2 + 0*l**2 - 3*l + 11*l - l**3. Let a(q) = q**2 + 16*q + 18. Let h be a(-15). Suppose 4*d + 5 = h*v - 9, d = 1. Give f(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 624 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - 16*p - 54. Determine x(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 236323?\nAnswer: 236323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 369, 377, -7, -2\/3, -0.3 in increasing order.\nAnswer: -7, -2\/3, -0.3, 369, 377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5925 and 150.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.047742l to millilitres.\nAnswer: 1047.742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*f**2 - f**2 + 3*f**2 + (-3 + 2 + 3)*(-f**2 + 0 + 0) - 2*f**2 - 1 + 1 to the form w*f + n + g*f**2 and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(1 + sqrt(1872) + -4))**2 + -1*(-2 + sqrt(1872) + (0 + sqrt(1872) - sqrt(1872)))**2)*-3.\nAnswer: -197520 + 7632*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34115 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.126876 to 2 decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of 0 + 0*u**5 - 2\/3*u**4 + 1\/30*u**6 - u**2 + 1\/210*u**7 - 8\/3*u**3 + 65*u. Suppose g(t) = 0. Calculate t.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2608 is divided by 174.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiibiibb. Give prob of picking 3 b and 1 i.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -769 + 822. Let i(v) = v**3 + 3*v**2 + v. Let x be i(-2). Suppose x*l - 18 = 2*s, 19 = -l + 2*l + s. What is the remainder when a is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -6. Suppose -3 = -4*d + 2*j - 25, -12 = -d - l*j. Let x(y) = y**3 - y + 2*y**2 + y - 4*y - 3. Give x(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/3 + (-2518)\/(-21). Let u = 13735\/112 - r. Calculate the common denominator of u and 23826\/968 - 20 - 3\/4.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/5 + (-13796)\/(-20). Calculate the remainder when j\/18 - 2\/6 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3023 - 3022. Do b and 21\/43 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 284\/12 - 4\/(-24)*2. What is the second smallest value in -0.5, 1\/4, d?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -56*b**2 - 12*b + 6. Let y(n) = -55*n**2 - 10*n + 5. Let h(r) = 5*p(r) - 6*y(r). Let f(l) = -4*l. Give f(h(a)).\nAnswer: -200*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -o**8\/6720 - o**7\/360 - o**6\/90 - o**5\/40 + 19*o**4\/24 - 28*o**2. Let v(i) be the second derivative of s(i). Give v(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - -3. Let s = v + -6. Suppose 21 = s*p - 17. List the prime factors of p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 5*o + 18, -5*o + 8 = 5*i - 4*i. Let y be 5\/(1 + i)*1. Let b(v) = -6*v + 7. Is b(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/3*4*(-13)\/(-468)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 22*a**4 + a**3 - 3 + 31*a**2 - 29*a**2 to u + j*a**3 + d*a**2 + b*a**4 + z*a and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-60)\/(-4) - 0\/(-1). Let d be (-3)\/i - (-3247)\/8360. Let a = d - 1\/152. Sort -1\/2, a, 0.2 in decreasing order.\nAnswer: 0.2, a, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 79, -1, 3 in ascending order.\nAnswer: -1, 1, 3, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 6 = -2*k. Let s = k + 13. Suppose -2*q - 5*j + 13 = -s, -54 = -2*q + 5*j. Calculate the smallest common multiple of 12 and q.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ykyyykykkkykkyyykyky. Give prob of picking 2 k.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.15 + 3.85. Let k = -2.96 - 0.04. What is the biggest value in c, k, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 4:15 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - 5*n - 2. Suppose -10*r + r + 81 = 0. List the prime factors of u(r).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -393.032?\nAnswer: 117.9096","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Is 20807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.7 - 1.12.\nAnswer: 3.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*-2*-1*sqrt(810))\/((1*sqrt(495))\/(sqrt(11)*1*6)))**2.\nAnswer: 64800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of -52 + 4*q**2 - 1\/4*q**4 + 0*q - 1\/6*q**3. Let j(y) be the first derivative of y**3\/3 - 1. Give j(i(u)).\nAnswer: 36*u**2 + 12*u + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -58*m**2 - 4. Let h(f) = -115*f**2 - 9. Give 3*h(p) - 7*y(p).\nAnswer: 61*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 15. Let a = x - 7. What is the units digit of 7 + (3 + a - -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -937b (base 13) in base 3?\nAnswer: -1000221220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168.9*-30.3.\nAnswer: -5117.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -3\/122, -28, -2 in decreasing order.\nAnswer: 14, -3\/122, -2, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.48 - 3.77. Round t to one decimal place.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 + 15*p + 38. Let x be j(17). Suppose -2*y - 12 = -4*w, -4*w = 8*y - x*y. Let s = 3 + 6. Solve q - s = -w*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, e: 6}. What is prob of picking 2 e?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 1 = c + 1, 3*c + 6 = 3*q. Suppose q*r - 3*r + 2631 = 0. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -561 and -142597.64.\nAnswer: -143158.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 10) to base 7\nAnswer: -216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 17, 57, 115, 185, 261, 337?\n\"Answer: -c**3 + 15*c**2 + 2*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(-2)*f*f*f**(2\/11)*f**(1\/4)\/(f\/f**1) assuming f is positive.\nAnswer: f**(63\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, j: 12}. What is prob of picking 3 j?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*q - 81 - 45 + 63 = 0. Solve -4*s = -x - 4, -q*s = -136*x + 141*x - 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2479316.400042 + 2479314. Let w = -3.1 + 5.5. Let s = o + w. What is s rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -60*y**2 - 385*y + 385*y to the form z*y + t*y**2 + s and give t.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 457*o**3 - 13267*o**3 - 5830*o**3 - 280*o**3.\nAnswer: -18920*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + 8. Suppose 10 = u - 84*x + 85*x, 0 = -2*u - 3*x + 20. What is the smallest common multiple of u and q?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 143 and 5.\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 2027441.\nAnswer: -5\/2027441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in twelve sevenths of a week?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is o in o**3\/5 - 2*o**2 - 88*o\/5 - 128\/5 = 0?\nAnswer: -4, -2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2729 and 165?\nAnswer: 450285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8585111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 189\/270*4\/14.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1002.423 nanometers?\nAnswer: 0.0001002423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -37*s**2. Let r(b) = 7*b**2. What is r(f(j))?\nAnswer: 9583*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of r**5\/60 + r**4\/24 - r**3\/6 - r**2. Let f be k(2). Suppose w = f*w - 4. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 6*j = 3325, 2*j + 1330 = 2*s + 7*j. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + 6*b**2 - 7*b + 2. Let p be r(-7). Let a(u) = -2*u + 0 + 2 + 6 - 1. Let n be a(5). Sort n, -5, p in increasing order.\nAnswer: -5, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/20)\/((-203)\/(-290)). Sort b, -0.1, 1145 in descending order.\nAnswer: 1145, b, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7287736 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 43123 and -1601715850.\nAnswer: -1601672727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u + 19 = -13 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -740 divided by 2\nAnswer: -370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of 30 - 2*b + 62\/3*b**3 + 0*b**2. Differentiate g(k) with respect to k.\nAnswer: 124*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 4*k - 3*h + 10, 4*h = 5*k + 6. Factor -2*w**3 + 4*w**3 + 4*w**3 - 2*w**3 + 1 + 9*w**k + 6*w.\nAnswer: (w + 1)**2*(4*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 times 0.33?\nAnswer: 0.231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3091\/7306)\/(121\/44)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 427 + 218*p - 69*p - 572*p.\nAnswer: -423*p + 427","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -13999 less than -14000?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -6*m + 226. Let a be u(14). Sort a, 4, -4, 0 in ascending order.\nAnswer: -4, 0, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 119 + -73. Suppose -4*d + i = 18. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 526 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 461*d - 177*d + 892*d + 394*d + 106760 = 0 for d.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1703362 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.08471 and -0.08.\nAnswer: 0.0067768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 117 * -12594.3.\nAnswer: -1473533.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*x = 126 - 85 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.11019 and -214017.\nAnswer: -214017.11019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = z + 2, 5*z - 38 = 3*x - 4*x. Solve f - z = -i - 1, 0 = -5*f + 25 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0\/4)\/((-2)\/(-1)). Let i(d) be the first derivative of -1 + 2*d + 0*d**2 - 1\/2*d**4 + l*d**3. What is the derivative of i(v) wrt v?\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.2 + 1.4. Let h = 20 - 12. What is the closest to 0.1 in h, 0.4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5651 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 0, -1, -4, -9?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.8352133 months to centuries.\nAnswer: 0.00236267775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 0, 2365506 in decreasing order.\nAnswer: 2365506, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 15) to base 16\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27.1 - -9.2. Let y = p - -17.5. Which is the fourth biggest value? (a) 1\/4 (b) -1 (c) 1 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 1. Suppose 1 = -4*l + 5*l, -4*l + 4 = 5*i. Suppose 4*t + 3*f - 70 = i, -6*f + 2*f + 88 = 5*t. Solve a - t = 3*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 12429, 41474, 89891, 157686, 244865, 351434, 477399, 622766?\n\"Answer: f**3 + 9680*f**2 - 2*f + 2750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/(-2) + 3 + 6. Suppose -14*q - 1283 + 163 = b. Is q less than or equal to -77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -287?\nAnswer: -861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -58*f**2 + 527*f**2 - 63 + 2459 + 20*f**3 + 4812*f + 1508*f**2 + 459*f**2.\nAnswer: 4*(f + 1)**2*(5*f + 599)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 157 + -130. What is the remainder when 104 is divided by d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-78)\/30 - 14\/(-35)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w, 1 p, and 1 b when four letters picked without replacement from gwgbbbbpbwgpp?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 4) in base 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.22538 + 0.0811.\nAnswer: -0.14428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/27 + 64\/(-36). Let b be m\/(-7) + 285\/105. Solve q + b = 8 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 11:06 PM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -33 - (-4 - 6\/(-2)). Let c = 56 + x. Is 14 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 355152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.062+-0.19\nAnswer: -0.128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -837*q**2 + 10*q. Let x(a) = 1120743*a**2 - 13392*a. Calculate -6696*c(k) - 5*x(k).\nAnswer: 837*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(1\/18)\/t*t**(6\/5)*t)**6)**(-2))**(-7\/9) assuming t is positive.\nAnswer: t**(1582\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.025833 + 0.026. Round l to 5 dps.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 1:46 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 19810 and -3.\nAnswer: 19807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6945 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 79993 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-164)\/328)\/((-2)\/8)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -70898, -141859, -212810, -283745, -354658, -425543?\n\"Answer: j**3 - j**2 - 70965*j + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 - 1 + 1)*(0 + 0 + 3*s) - 9 + 2*s + 9 + (4 + 0 - 5)*(3*s - 2*s + 0*s) in the form c + k*s and give k.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 37914149 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**5\/9 + 16*d**4\/3 - 14*d**3\/3 - 2788*d**2\/9 - 3200*d\/3 - 1024 = 0?\nAnswer: -3, -2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9207809 is divided by 148.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*j**3 + 102*j**2 + 160*j + 56.\nAnswer: -2*(j - 7)*(3*j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(1\/4))\/(u*u**(-1\/4))*(u**(2\/3))**11)\/(((u*u**(-1\/2))\/u)**(-22)\/((u*u**(1\/2))\/u*u*u)**(-38)) assuming u is positive.\nAnswer: u**(-296\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -4*g + m + 258, -2*g + m + 157 = 0. What is the greatest common factor of 130 and g?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2425 and 3298.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -5565716467132.7.\nAnswer: 5565716467129.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -147*s**5 - 111783*s**4 + 63912*s**3 - 9132*s**2 = 0. What is s?\nAnswer: -761, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s + 0*s - 72 = 0. Suppose -3*f = m - 149, s*f - 148 = 5*f - 2*m. What is the least common multiple of (-3)\/((-2)\/30*1) and f?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.9 in -1, 0.4, 2\/13, -0.01?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -928*d - 295747 = -450*d - 1982*d - 1819*d for d.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20388.9083 + -20386. Round v to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 (base 8) in base 6?\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**2 - 2*a**3 - 28 - a**2 - 24 + 43 + a**3. What is r(0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*l + 42*l. Suppose 16*p - 36 - 12 = l. Solve 4*s + 3 = p*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -21*g**2 + 112*g. Let q(j) = -11*j. Give n(q(d)).\nAnswer: -2541*d**2 - 1232*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 6*j, 32 = x - 3*x - 4*j - 0*j for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 9, -0.138, -6\/211, -4\/5 in ascending order.\nAnswer: -4\/5, -0.138, -6\/211, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + f**2 - 2*f + 1. Let d be p(1). List the prime factors of 18*((-3)\/(-2) - d).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(1\/5)*n\/(n*n**5)*n**(-4)*n*n**(-5\/3)\/n)\/(((n*n**(1\/3)*n)\/n*n**(1\/6))\/(n**8*n**(3\/4))) assuming n is positive.\nAnswer: n**(-157\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/8, -1, 7, 2\/7, -0.3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 777621674?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132021023?\nAnswer: 1429, 92387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 15873, 0.3 in descending order.\nAnswer: 15873, 3, 2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -287\/19 + 15. What is the closest to 18 in q, 4, -1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 57970053?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1821081 divided by -641.\nAnswer: -2841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 3*s + 1 - 7, -3*s + 2*g = -6. Let x be 398\/4 + 1\/s. Let w = -6096 - -6121. What is the greatest common factor of w and x?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*a**2*j**2*m**2 - 7*a**2*j*m**2 - a**2*r + a*j**2*m*r - 24*a*j*r + a*m**2*r + 2*j**2*m**2*r wrt a?\nAnswer: 28*j**2*m**2 - 14*j*m**2 - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11494 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in -0.3, 0.3, -0.2, -0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(136)*1)\/(sqrt(88)\/sqrt(44)).\nAnswer: -10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in -2, -1402, -0.086?\nAnswer: -0.086","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhjh when four letters picked without replacement from jjhjhhhh.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, f: 3, r: 2, m: 2}. What is prob of picking 3 f?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n - 59. Let x be t(-20). Let y(f) = 66*f**2 - f + 1. What is y(x)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -26*i**2 + 15*i + 8. Let p = 41 - 48. Let z(o) = -22*o**2 + 14*o + 7. Let q(t) = p*z(t) + 6*f(t). Calculate q(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -7. Suppose a = 8*w - 3*w + 30, 3*a - 35 = z*w. Find the second derivative of h + a*h**3 - 2*h**3 + h wrt h.\nAnswer: 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 598*c**2 + 5*c - 3. Let a be w(-2). Suppose -390*f + 387*f + a = 0. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, -2\/7, 4, -0.107?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**3 + 17*h**2 + 23074*h + 115180. Calculate q(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 57\/(-285) + (-11)\/(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/(20\/76) - -3. Let c = -6 + o. Suppose 10*q - 8*q = c. Is q <= 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a519 (base 13) to base 16\nAnswer: -5935","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f + 14 + 42 = 0 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-540)\/(-152)*2*(-4)\/(-5). Let q = -229\/57 + r. What is the third smallest value in -2.7, 3, q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (63\/(-294))\/(11\/(-44)*2*1).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*p + 17 + 37. Let l be (3\/p)\/((-8)\/96). Solve -5*g = -2*g - l for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5998*b + 234*b + 1251*b - 2141*b in the form j*b + k and give j.\nAnswer: -6654","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 836 + -837. What is the second smallest value in -0.2, 1, m, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 o when four letters picked without replacement from {r: 7, o: 9}?\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6*(-1)\/(-2) + 4. Let u = 0 + 5. Sort -5, k, u in increasing order.\nAnswer: -5, k, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - k = -2, 0 = -4*h + 3*k + 7 + 15. Suppose -h*v = 2*s - 50, -4*v + 46 = -4*s + 2*s. What is the greatest common factor of v and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123 = 3*y + 2*z - 103, 25 = -2*y - 3*z for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -312 = 43*g - 95*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*o - 322*o + 1 + 109*o + 110*o.\nAnswer: -5*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x**3 + 4*x**2 + 2. Let c be 1 - 2\/((-6)\/15). Suppose -15 = 3*k - c. Let j be v(k). Is -44 greater than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**2 + 3*m**2 - 4*m**2)*(0*m + 3*m + 0*m)*(3*m - 2*m + 0*m).\nAnswer: 6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83*-2406.\nAnswer: -199698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*b = -16, -4*t - 2 = -b - 3. Let q be (28 - 30)*(0 + t). Solve -2*u = 3*k, -q*k = 2*k for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -50 - -50.07. Let k be (2 + 4\/(-8))\/3. Which is bigger: x or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 5*s + 4*o, -s + o + 6 = 0. Suppose t - 18 = 4*g, -g - 6 = s*t + 2*g. Solve -4*k = -2*k - t for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2946870, -5893740, -8840610, -11787480?\nAnswer: -14734350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r + 1. Let s be m(-5). Let i = 0.88 + -0.9. Let j = 1.02 + i. What is the closest to 1\/4 in s, j, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33*(32\/2)\/(-48)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {z: 7, x: 1, o: 7, n: 3, y: 1}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 12866436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 21 = -q + 67, 5*q = -2*t + 488. What is the highest common divisor of 72 and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 18*w**3 + w. Let t be u(1). Let m = t - 6. Let n(c) = -c**2 + 19*c - 4. Let h be n(m). What is h rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.2 + 2.2. Which is the second smallest value? (a) g (b) 0.5 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 23 + 6 = 5*n, 27 = 5*f - 3*n for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 5 = 5*p. Suppose 2*k + 54 = -5*v - 16, -k + p*v - 26 = 0. Let z = 45 + k. What is the highest common factor of 60 and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 770.5423ml?\nAnswer: 0.7705423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (41\/1435)\/(-20*8\/448).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4090483753?\nAnswer: 7937, 515369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2120143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lt when two letters picked without replacement from llttttl.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317 is divided by 59?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 7*z - 13. Let x be b(2). What is the tens digit of ((-753)\/6 + x)*2\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 8, c: 4, m: 3, a: 1, y: 1}. Give prob of sequence ycea.\nAnswer: 1\/1785","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - s + 4. Let f be l(0). Suppose -f*n + 54 = -2*n. What is the remainder when n is divided by (-14)\/((-1 - 0) + 0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 27*v**2 + 169*v + 396. Calculate i(-6).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4831 + -4762. Solve -u*w + 17 = j - 74*w, j = -w - 1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - 508*t + 18285. Give o(39).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1744 and -5587?\nAnswer: 7331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25723352?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 11 + 190*t - 192*t + 11 - 111*t**2. Let r(o) = -112*o**2 - 2*o + 23. Let c(w) = 3*n(w) - 2*r(w). What is the second derivative of c(d) wrt d?\nAnswer: -218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5312 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -6. Let o be 2 + f\/(-2) + -2. Suppose o = q + 2*v - 11, -2*v = -5*q - 0*q + 7. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -s + 22. Let l be (-6)\/(-15) + s\/30. Which is the biggest value? (a) l (b) -2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xg when two letters picked without replacement from xcgcgxggcgc.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -5*z**5 - 575*z**4 - 23435*z**3 - 384585*z**2 - 1661400*z + 9126000 = 0?\nAnswer: -39, -20, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8404062 tonnes in nanograms?\nAnswer: 840406200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/7)*((m*(m*m\/m**(2\/19))\/m*m)\/m)\/m*m*(m*m**3)**(2\/13))**(1\/17))**(-13\/3) assuming m is positive.\nAnswer: m**(-4093\/6783)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w - 17*w = -15. What is the third biggest value in -8, -3, 4, w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*t**5 - t**4 + 19*t**3 + 5946*t**2 wrt t?\nAnswer: 900*t**2 - 24*t + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2838169?\nAnswer: 2838169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 143 and 15384039.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2464.58 rounded to the nearest one hundred?\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2\/18 - (-80)\/252\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8397 is divided by 3821.\nAnswer: 755","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 110\/(-8) - (-1)\/(-4). Let x be 12\/(-42) - 18\/i. Let s = -6 + x. What is the third biggest value in 2, s, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + (-1 - -1 - 0). Suppose 4*n + 2*s - 10 = 0, -4*s - 1 = -v*n + n. What is the second derivative of -3*o**3 + 4*o**3 - n*o + 2*o wrt o?\nAnswer: 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 39 (b) -2 (c) -0.13 (d) -1\/59 (e) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 4 (c) -3 (d) -2 (e) -54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1231 + 96*x - 1227 + 4911 - 102*x - 1225 - 1225.\nAnswer: -6*x + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 25841611045 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -81 + 121. Suppose 3*v + 0 = 6. Suppose v*g = 1 + 39. Calculate the highest common factor of g and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 - 48 = -4*z. Solve 0 = z*o + 5 + 15 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256 = -26*a + 74 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -179.\nAnswer: 2\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 37, 2, 71, -2 in ascending order.\nAnswer: -2, 2, 7, 37, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -1\/6 (c) -0.0273\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.4 + 5. Let k = o + 0.4. Let t = 0.38 - -0.12. What is the second smallest value in k, t, 0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -3*l - 0*l - 28, 5*l + 2*x + 34 = 0. Let d(o) = 5582*o**2 - 7*o + 6. Let q be d(l). Round q to the nearest ten thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 883 is divided by 68.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.6 less than -1457688?\nAnswer: -1457679.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -477264*a**3*s**2 - a**3 - 2*a**2*s + 2*a*s - 831005*a - 23*s**2 - s wrt s?\nAnswer: -954528*a**3 - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -160.74 + 159. Let w = 1.874 + l. Round w to two dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 + 5 - 5)*(3*h - 3*h + 3*h) + (5*h - 2*h - 4*h)*(3*h**2 - 6*h**2 - h**2).\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -58\/7*h**2 + 72\/7 + 2\/7*h**3 + 10\/7*h**4 - 2\/7*h**5 + 24\/7*h = 0. Calculate h.\nAnswer: -2, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (448\/(-560))\/((-3)\/((-30)\/68))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 551 - 2?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 19?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1969399?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*p**2 - 10*p**2 - 19*p**2)*(-385 + 1102 + 115 + 1638 + 393) to f*p**2 + t + v*p and give f.\nAnswer: -83027","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, 117, 4, 0.8, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*j + 5 - 5 + 0*j + 32*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y + 1. Let s(g) = -g**2 - 9*g - 2. Let n(k) = -3*l(k) + s(k). Let h be n(-3). Let r(p) = -h*p - 3 - 2*p + 5*p + 14. Determine r(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 567085901*c**2 + 378282051*c.\nAnswer: 1134171802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(72)\/sqrt(2)*-5)\/sqrt(4)*-4)\/((sqrt(2187)*2)\/(sqrt(225)*-2 - sqrt(225))))**2.\nAnswer: 2500\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -248947, 6, 3, -5 in decreasing order.\nAnswer: 6, 3, -5, -248947","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6107094 and 133.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 4. Let z = -1 + 2. Suppose -3*b + 4 = 4*j, 14*b = 4*j + 9*b - 4. Solve 0 = -l*w + z + j for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 0*r - 6*r**2 + 0*r. Let d(b) = -b. Suppose -3*f + 3*x = 2*f + 17, 4*x = 2*f + 4. Let h(n) = -7*n. Let c(q) = f*d(q) + h(q). Calculate y(c(z)).\nAnswer: -54*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 228 divided by 11\nAnswer: 228\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = 85 - 67. Solve z*k + 3 - 6 = 4*y, -5*k - y - 18 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + x - 2 = -2*p, 0 = -5*x + 5*p - 45. Let u = x + 12. Does 4 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 339 and 565?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7588.4 rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17374 and 842352?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -48 - -52. Let w(f) = f**2 - f - 1. Let z(y) = -2*y**2 + 4*y + 4. Give k*w(c) + z(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 5:51 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/72*-12*(-2)\/(-2)*(-1640)\/12710?\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i\/i**3))\/i)\/i)\/i**5*(i**(-1))**(-34)*i**0\/((i*i**(-3\/7))\/i)*((i*i*i**(2\/5)\/i)\/i)\/((i\/i**(2\/11))\/i*i) assuming i is positive.\nAnswer: i**(11554\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/4*4*(-11)\/44*3420\/(-57)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 12*n**2 - 28*n + 39. Determine d(-14).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of 5*u**2\/2 - u - 91. Give k(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 37581390 and 4488.\nAnswer: 150325560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*g**2 - 3*g**4 - 5*g**4 + 65 + 6*g**4 + 4*g**2 + 2*g as d*g**2 + v + r*g + w*g**3 + l*g**4 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 76*c - 75*c - 9 = 0, 5*r - 5*c - 15 = 0. Let w(g) = -g**3 + 2*g - 1. Let f be w(1). Solve f*t = -r*h + 3*t - 3, 4*h - 2*t + 6 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 6*m**2 - 3*m + 40. What is the tens digit of z(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5*s = 37, 3*h - s = h - 29. Which is bigger: h or -159\/13?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3 - d**2 - d**3 - 3 - d + 1. Let y(k) = k**3 + 2*k**2 + 2*k - 2. Let t(j) = 7*x(j) + 6*y(j). Calculate t(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-3) + (-12110)\/(-105). Calculate the highest common factor of 34916 and n.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*o**2 - 16*o**2 - 19*o**2 - 26*o**2.\nAnswer: -51*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*(p*p\/p**(1\/19))\/p*p)\/p)\/(p*p**(-5)\/p)*p**8\/p**(-9))**(-1\/16) assuming p is positive.\nAnswer: p**(-455\/304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5023242 divided by 18333.\nAnswer: -274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21097818 and 5525619.\nAnswer: 232075998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -187 + 166 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 9) to base 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36225)\/(-6900))\/(14\/(-16))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55, -51, -19, 53, 177?\nAnswer: 365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 101301 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -6. Let s be (c - 3) + -2 - -8. Let q be s\/(-10)*1\/12. Which is bigger: q or -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 5*u**2 - 7*u - 1. Let b be j(-6). Suppose 3*l = -b*x + 53, -4*x + 72 = 3*l - 8*l. List the prime factors of x + (-3 - -2) + -1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -776994*z. Let b(y) = -281*y**2. Give h(b(t)).\nAnswer: 218335314*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, y: 1, r: 2}. Give prob of picking 2 r.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (-1)\/(-7 + 14584\/2084)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51233, -62995, -74757, -86519?\nAnswer: -98281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79392.57ml to litres.\nAnswer: 79.39257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -160*a + 12. Let v(u) = 43521*u - 3260. Let o(l) = -3*v(l) - 815*w(l). Let q(y) = 12*y. Determine q(o(m)).\nAnswer: -1956*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 92446827 to the power of 1\/4, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21883 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -42\/13 and -28.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -2, 4, 14, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6750969.\nAnswer: 3, 613, 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 c when two letters picked without replacement from ccxxdxsxx.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 116400, 465594, 1047582, 1862364, 2909940, 4190310?\nAnswer: 5703474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15.1 + -15. Let b be 2\/3*24\/(-28). What is the nearest to p in -1\/8, 5, b?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*a + 4*a - 20, 2 = 2*b - a for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/19071612 and -157\/4238136?\nAnswer: 38143224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1049?\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -538 + -155123.\nAnswer: -155661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*r - 5*f, -2*f + 3 = 3*r - 4*f. Let z be r + 4 + (-90)\/(-10). Let l = -57 - -105. Calculate the greatest common factor of l and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 8*a**3 + 5*a**2 - 4*a - 14. Let n(p) = -7*p**3 - 4*p**2 + 3*p + 13. Give 5*n(k) + 4*x(k).\nAnswer: -3*k**3 - k + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 10. Let s = q - -2. Let a = s + 3. Solve -3*z = 8 + a for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.32 + -3.68. Let r be 1 - 6\/3 - -3. Let c be r\/(-11) + 5\/(-33). What is the second smallest value in w, c, -6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v**3 - 615*v**2 - 17280*v + 102400 = 0 for v.\nAnswer: -64, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -g - 7*t + 3*t, 5*g = 3*t + 151. Let d = 15625 - 15504. Suppose -g = -5*i + d. Calculate the common denominator of i and 29\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3233 = 23*z + 276*z + 3046 for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 3*i**2 - 5*i + 3. Let a be u(-4). Let n(b) be the first derivative of -b**2\/2 - 5*b + 2. What is n(a)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of 2*p**3\/3 + 85. Let o(k) be the second derivative of 3*k**3 - 4*k**3 - 2*k + k. Give o(r(v)).\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.702, -1, 2, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*j - j. Suppose j*o - 2*b + 24 = 154, 2*o + 4*b = 76. Suppose -f + 93 = 2*f - 4*t, -f = -5*t - o. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1761*w**3\/7 - 47541*w**2\/7 + 18090*w + 432\/7 = 0. Calculate w.\nAnswer: -2\/587, 3, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7771958171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 5) + (14 - 18)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00041540486 rounded to seven dps?\nAnswer: -0.0004154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -34, -1, 1211, -1449?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35 by -63.\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29268?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + 4)\/(-2) + 57. Calculate the greatest common factor of 8 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 1.3 (c) 0.4 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 476, 3587, 11838, 27731, 53768, 92451, 146282, 217763?\n\"Answer: 417*k**3 + 68*k**2 - 12*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - 14*y + 193. Give h(8).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1534025 is divided by 1069.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.04503 + 0.045030872. What is f rounded to seven decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rn when two letters picked without replacement from {n: 1, b: 1, r: 5, v: 4, x: 1}?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -174*h + 2789. Let a be m(16). Let d(g) = 17*g - 1. Let b(k) = -k. Give a*b(l) - d(l).\nAnswer: -22*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51105.\nAnswer: 3, 5, 3407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3 + -2*sqrt(2299)) + -4 + (sqrt(19)*2 + -5 - sqrt(190)\/sqrt(160)))**2.\nAnswer: 1077*sqrt(19)\/2 + 2448883\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -175 (base 12) in base 4?\nAnswer: -3221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 370704*r - 29000 = 371204*r for r.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 5*i = 2*y + 10, -4*i - 8 = -2*y. Suppose -3*g - 12 + 39 = y. Is 3 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -h**4\/12 + 23*h**3\/3 + 16*h**2. Let a be u(19). What is the greatest common divisor of a and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7011691 less than 7011705?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42270, -42269, -42268, -42267, -42266?\nAnswer: -42265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2098517?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1540167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 9:16 PM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - 11*i + 6. Let n be y(11). Suppose -9*c + n*c + 27 = 0. Let w = 103 + -70. Calculate the remainder when w is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + i - 4*l = 4094, -4*l = 2*i - 4078. Suppose -6*w + 4827 = -i. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -280*w + 10235 - 127835 = 3640*w for w.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -18 - 0 - -14\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnyinnninnn. Give prob of picking 1 n and 1 i.\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*r**3 + 6*r**3 + 13*r**3 + 25*r**3 - 33*r**3 + 9*r**3.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(2\/7))**(-29)*j*j*j*j**2*j*j*j**(2\/27))**(-22))**2 assuming j is positive.\nAnswer: j**(10076\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 787\/8 - 98. Which is the second smallest value? (a) u (b) -2 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82465, 82162, 81859?\nAnswer: 81556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2\/5 - 212*c\/5 + 208\/5.\nAnswer: 4*(c - 52)*(c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*v + 2*v + 2*v)*(10*v + 0*v + 5*v).\nAnswer: -45*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 300?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -194594599.06758458583832 - 1431.04191493316168. Let g = -194596030 - o. Let y = 0.1095 - g. What is y rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 + 18. Let x = g + 17. Let j = -4 + x. What is the second smallest value in -5, 5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 + 29*u - 49. Determine t(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 202063 to the nearest integer?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 a when four letters picked without replacement from {a: 3, f: 2, n: 5}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 7\/(21\/480). Suppose o - 14 = -h + 22, 4*o - h - n = 0. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 222035 and 1210.\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -1.8. Let q = 0.1222 + -0.7622. Which is greater: q or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5436 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*k**3 - 2*k**3 - 40*k + 38*k to the form f*k + l*k**3 + t + r*k**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqprqrtrplqrpt. What is prob of sequence rtpl?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1673?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {j: 10, t: 10}.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w + 6487 - w + 6495 + 6460 - 19442.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -4. Let b(k) = -3*k**2 + 3*k**d + 2*k + 5*k**2 + k**2 - 10 - k**3. What are the prime factors of b(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) 1 (c) -1.75317 (d) 4 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 446 - 323. What are the prime factors of f?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 51.58 (b) -2\/7 (c) 3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 + 0*f + 67 - 18 + 158*f**3 + 2*f - 32 in the form b*f**2 + h + k*f + a*f**3 and give a.\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.78 and 28728.\nAnswer: 28727.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4266 - 4127.85. Let o = d + -138. Let q = o - 0.150033. Round q to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-2)\/(-3))\/((-1376)\/690 + 2) and 92?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89.005l to millilitres.\nAnswer: 89005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 0) + -1 + 2 + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + -15)*448\/(-480). Which is the closest to g? (a) -4 (b) -0.2 (c) -0.4 (d) 0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*62.\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*x**5\/3 + 5*x**4 + 10*x**3\/3 = 0. What is x?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 7 = 1. Suppose 15 = l*i - i. Solve -2\/3*s - 2\/9*s**i - 2\/9 - 2\/3*s**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -9 (b) -48794 (c) -0.72\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10222 - -101100212?\nAnswer: 101012220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 10548, 43513, 98454, 175371, 274264, 395133, 537978?\n\"Answer: 10988*k**2 + k - 441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*t = -27*t + 1153 - 1489 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 7 = -0. Let j = 12 - i. Suppose 0 = 2*q - j*q + 12. Solve -3*k + q*k - 5 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(102)*1 + sqrt(102) + sqrt(102)) - sqrt(102) - sqrt(102))\/sqrt(6) + (1*sqrt(153)*-5)\/sqrt(9).\nAnswer: 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 279282348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -279*t + 289*t + 10 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 20, 1, -1\/2, 1\/3, 5, 2\/9?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18547?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 - ((16 - -5) + 2 + -6 - 40).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (3 - 4 - (-9 - -13))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 837 and 372.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 4*f - 12 = 0, 2*s - 2*f - 2 + 0 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/28)\/((-1)\/6) + -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 434 a factor of 22758526?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-216)\/8)\/27*1*9\/972*-3?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 6*v**2 - 4*v + 3. Suppose -3*n = -3*q - 9, 31*n + 5 = 34*n + q. Determine u(n).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113087a (base 11) in base 4?\nAnswer: 13202303312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2580283 and -24.65207.\nAnswer: 2580258.34793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 601369, 1202718, 1804067, 2405416?\n\"Answer: 601349*j + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 54*o**2 + 2*o. Let v(r) = -27*r**2 - r. What is 3*g(j) + 5*v(j)?\nAnswer: 27*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1748579?\nAnswer: 7, 249797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 110650 or 110642?\nAnswer: 110650","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1261 + 2508 - 3*q**2 - 1247.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbsb when four letters picked without replacement from {b: 5, s: 15}.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 640 + -833. Let j = o - -196. What is the remainder when 71 is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s + 2. Let j(a) = -7*a**3 + a**2 + a + 1. Let q be j(-1). Let v be l(q). Let h = 18 + v. 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: Suppose 3*z + 187 = -5*n + 219, -4*z + n - 11 = 0. Sort z, 1, 344, 0.\nAnswer: z, 0, 1, 344","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 10369, 10280, 10159, 10006, 9821?\n\"Answer: -16*j**2 - 41*j + 10426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1*-1)\/((-6)\/(-126)). Let m be 6\/v + (-2)\/(-7). Suppose 3*l + 1 = 2*i - 2*l, -4*l + 4 = m. Is 1 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-1))\/(4\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -j + 2, 4*g + 5*j = 2*g - 8. Let b be (-5)\/g + (2 - 0). Let d(s) = s**2 + 3*s + 3. Let r be d(-2). What is the second biggest value in b, r, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 15*s**2 - 5*s + 5. Let f(p) = 7*p**2 - 2*p + 2. Let n(c) = 13*f(c) - 6*w(c). Calculate n(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5510 to the nearest one hundred.\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -131322, -262624, -393924, -525222, -656518, -787812?\nAnswer: -919104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(4\/7)*b)**(-10) assuming b is positive.\nAnswer: b**(-180\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 5*z - 12 = 0. Let q(b) = -5 + 3 - 3 - 4*b + 3*b. Let k be q(z). Solve -c - k = -3 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of l**5\/5 + l**4\/3 - 8*l**3\/3 - 8*l**2 - 119*l + 91. Let q(f) be the first derivative of g(f). Factor q(i).\nAnswer: 4*(i - 2)*(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 18098.44.\nAnswer: 90492.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i + 154*i + 11*i + 716 = 0. Let f = -2 - -9. Which is the biggest value? (a) i (b) f (c) -1 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -65 * 0.06.\nAnswer: -3.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrruruu. Give prob of picking 3 r and 1 u.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9505928, -19011866, -28517804?\nAnswer: -38023742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(-2 + 4)*(-8)\/(-8). Does 19 divide 660\/22 + (0 - q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4563, -4379, -4081, -3669, -3143, -2503?\nAnswer: -1749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7006360227?\nAnswer: 3, 14851, 157259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6181533005 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10839373 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2197 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3*d)*(-7749*d - 9947*d + 830*d + 2062*d).\nAnswer: -44412*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = n - 80. Calculate the highest common divisor of 220 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 5*b + 4 = 21, 0 = -i + 2*b - 4. Let g = 9 - 28. Let m = -16 - g. Solve i*w = -m*w - 20 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 24 = -2*u, 5*l + 2*u - 1 = -145. Let n = -28 - l. Solve 2*o - 2*t - 3*t + 3 = n, -5*o - t = -6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 5*t**2 - 4*t - 7. Let z be v(6). Suppose 42 = -5*l + 52. Solve -9 = l*n + 3*s, 4*n + 2*s = z*s + 9 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 4393365*n**2 + n**3 - 13 + 4393483*n**2.\nAnswer: n**3 + 118*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z**2 - 2*z. Let f(l) = 3*l**2 - 2*l. Let r(v) = -3*f(v) + 4*o(v). Let w = -7962 - -7964. Give r(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 176068408 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-26)\/(-12) + (-33)\/22. Sort i, 2, -1\/2.\nAnswer: -1\/2, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h + 6. Let f(i) = -5*i + 418 - 139 - 131 - 133. Let d(z) = -7*a(z) + 3*f(z). Determine d(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 55336991*x - 41049971.\nAnswer: 55336991","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*l + 3*l. Let r be -5 + 1 - (l - 0). Let t(y) = 2*y + 5. What is t(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*j + j. Let y be -1 + (j - -28) - -2. Suppose p + y = 2*p. What is the highest common divisor of p and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -219*v + 581 - 581.\nAnswer: -219*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6940 - 2405 + 3591 + 6926 = -284*c for c.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61514592*x**3 - 123029192*x**3 + 61514609*x**3.\nAnswer: 9*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/3*0\/1. Let h(w) be the first derivative of t*w**2 - 1 + 0*w**4 - 2\/5*w**5 - 2*w + 4\/3*w**3. Factor h(a).\nAnswer: -2*(a - 1)**2*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 16 = -4*o, 27 = 5*o - 5*x + 2. Suppose -2*j + 1 = -o. Solve j*m = -3*d - 37, -5*m = 5*d - 0*d + 45 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 1. Let a(q) = q + 3. Let x(v) = -a(v) + j(v). Let z be x(-3). Is 5 bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/6 - (13\/(-2) - -6). Let a(y) be the second derivative of -z*y**3 + 3*y + 0 - 1\/12*y**4 + 1\/20*y**5 + 0*y**2 + 1\/30*y**6. Factor a(s).\nAnswer: s*(s - 1)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000416977 rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39468505 to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 + -0.3. Let d(f) = f**2 - 2*f - 1. Let y be 4 - (1 - (1 + -2)). Let w be d(y). Which is smaller: i or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 105 - 92.2. Let w = o + -14. Let s = w + 1.19956. What is s rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j + 0*j**2 - 41*j**2 - 2*j.\nAnswer: -41*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jwntwn. What is prob of sequence tj?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 2. Let w(d) = -d**2 + 12*d - 16. Let q be w(10). Suppose -5*x + 5*j + 20 = 0, 5*x = -j - 0*j - q. Sort x, 2\/3, -2\/7, c in ascending order.\nAnswer: -2\/7, x, 2\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*g - g - 3*g)*(-4*g - 2*g - 2*g)*(-5*g + 4*g + 3*g).\nAnswer: -32*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12044857 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/306577, -5, 1\/3, -2\/5?\nAnswer: 1\/306577","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1554642 and -3.\nAnswer: 1554639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - 0.075960279\nAnswer: -0.175960279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z. Let o be x(4). Suppose q - 10 = 5*k + 12, -o*q = -5*k - 28. Suppose -4*p - 54 = -n - n, -5*n + q*p + 103 = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 + 19. Suppose c - b = 4*b - 14, n*c - 15 = -4*b. Solve -c = 2*m - 9 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.988*2.\nAnswer: -3.976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1241 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 1 = -2. Let p be ((-18)\/12)\/(i\/(-4)). Which is the second biggest value? (a) p (b) -0.2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of 2*g**7\/21 - 4*g**6\/3 - 27*g**5\/5 + 304*g**4\/3 + 640*g**3\/3 + 3774*g. Let o(v) = 0. Calculate v.\nAnswer: -5, -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -5, 667, -6, 4, 9 in ascending order.\nAnswer: -6, -5, 4, 8, 9, 667","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/(-4))\/(1\/(-2)). Suppose -30 = -2*j - b*j. Solve -n + 3*n = -j for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 33102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 2:42 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1982 = -113*m - 172*m - 13 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -2, 246.379?\nAnswer: 246.379","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 5. Let l(k) = -4*k + 19. Give -g(p) + l(p).\nAnswer: -4*p + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/14*26 + 1\/7. Suppose -i*n - 12 = -32. Suppose -n*c + 14 = -9*c. Calculate the highest common factor of 112 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/86508 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 2. Let l be y\/(-4)*(-4)\/10. Let k = -5 - -7. Which is the closest to 0.1? (a) 3\/2 (b) k (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 200 and 1617280?\nAnswer: 8086400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-141872.\nAnswer: -567488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 0)*(-2577 + 1287 - 3063*t - 6482*t + 1290).\nAnswer: 9545*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 123990 and 315?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/((2\/(-3))\/(-2)). Which is the third smallest value? (a) z (b) 2\/13 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 82 and 28234898.\nAnswer: 1157630818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 603 = 611 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1443031.4 to the nearest one thousand.\nAnswer: 1443000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 407 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/2)\/(-4 - -3)*48. Calculate the common denominator of 23\/11 and (6\/s)\/(2 + (-993)\/492).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 8:28 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5354180 divided by -2\nAnswer: 2677090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 6, 17, 32?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -4*w + 4*n + 22, 4*n = -5*w - 76. Let h be (-255)\/(-20) + (2 - (-21)\/w). Solve -h*l + 34*l + 19*l - 18*l**2 + 23*l**2 + 60 = 0 for l.\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.12 + -5474\nAnswer: -5474.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 128 - 124. Let p = -94 - -194. Let b be p\/(-30)*6\/(-4). Solve -z*k = -9*k + b for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88 and 408?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6111 + -6074. Solve -g + 7 = 2*y, -12*y + 17*y - c = 4*g for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 262651552?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/(-3))\/(-5)*0. Suppose 4*p - w = -v*w + 87, 2*w = 10. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - 5 - (-29 - -8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 15*f**3 - 2587*f**2 + 2558*f + 31. Give c(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -23.85 (b) 8 (c) 1 (d) 0.56\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*u + 2\/3*u**2 - 4\/3.\nAnswer: 2*(u - 2)*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(13\/2))**(-4\/21)*(x**(1\/13)*x)\/x**(-18))**(-10) assuming x is positive.\nAnswer: x**(-48700\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -3207893 and -58 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -43*d + 22*d - 84 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13165991.\nAnswer: 13165991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -5\/2 (c) -80 (d) -0.129 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 5 = t. Let n be ((-1)\/6)\/(4\/6). Let j be 3\/(-12) + (-3)\/(-4). Which is the nearest to j? (a) t (b) n (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 40\/(-8) - (-1 + -7). Let q(u) be the second derivative of u**5\/20 - u**4\/3 + u**3\/3 + 3*u**2\/2 - 3*u. Give q(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15 + 36442?\nAnswer: 36460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 748220 and 2040600?\nAnswer: 22446600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**2 + 15440*x - 92496 = 0. What is x?\nAnswer: 6, 3854","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 617509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 4*a**2 + 397*a + 2662. Calculate b(-92).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 26\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -23. Suppose -u*l = -20*l + 10. Solve -1 = -l*f - 7 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 183, 382, 581, 780, 979, 1178?\n\"Answer: 199*m - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3516 is divided by 236.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*((sqrt(11) + sqrt(11)*2)*6 + 1))**2*2.\nAnswer: 2592*sqrt(11) + 256680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*d = 52*d + 1500. Does 25 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2309214 to the power of 1\/2, to the nearest integer?\nAnswer: 1520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26446187 is divided by 3569.\nAnswer: 3466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*u*w**3 + 2*u*w**2 - 1451*u - 3*w**3 + w**2 + 59 wrt u.\nAnswer: -2*w**3 + 2*w**2 - 1451","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1400 and 12800.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-786)\/(-87) + (-35)\/1015?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(76\/(-19) + (-6)\/(-1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000269186 rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 221*s - 518. Let k be g(3). Calculate the highest common divisor of 1769 and k.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -128.3 + 148. Round f to the nearest integer.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -70*b**3 - 5*b**2 - 8*b + 44. Let n(w) = 47*w**3 + 3*w**2 + 5*w - 29. What is -5*k(h) - 8*n(h)?\nAnswer: -26*h**3 + h**2 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(98)*-2*-5.\nAnswer: 70*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49 - 27. What is the common denominator of (5 + 1336\/24)\/(72*1) and q?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -7200*p**4 + 57597*p**3 + 1346424*p**2 - 12196239*p - 5082 = 0.\nAnswer: -14, -1\/2400, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 11, g: 9}. Give prob of picking 3 z.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c + 11*d + 13, 5*c + 56*d - 58*d + 44 = 0 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -131078 from -2.\nAnswer: 131076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -4 + 1, -a + 3*w + 143 = 0. Suppose 0 = 2*j - 10, -y = -0*j + 5*j - a. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 3*s = -4*g + 11, -3*g + 12 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 1 + 0 = 2*l, 4*l - 5 = 3*c. Suppose -t = l*t - 3*p - 894, 2*p + 1182 = 4*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*f - 337 = -81 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**23*n\/(n*n*n**(-18)*n))\/(n**(-19\/4)*n**(-1\/10)) assuming n is positive.\nAnswer: n**(877\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 366\/((-6)\/(-2))*-2. Let w = i - -882. Find the common denominator of (-2)\/(-6) - w\/(-120) and -75\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -194 - -204. Suppose -n*i + 542 = -8*i. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -9*y**2. Let w(m) = -m**2 - 1. Let x(f) = 6*f**2 + 5. Let c(i) = -20*w(i) - 4*x(i). Calculate n(c(d)).\nAnswer: -144*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 20*z**2 - 40*z + 79. Let f be j(18). What is the greatest common divisor of f and 189?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -116, -204, -246, -224, -120, 84, 406?\nAnswer: 864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 56 - 89*c**3 + 14 + 113*c**3 wrt c.\nAnswer: 72*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 4) in base 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -16 (b) -5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24642 + -12452. What is the thousands digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 22 = 2*l, 0 = 3*l + 2*l + 25. Suppose -x + 2*a + 6 = -11, 0 = 5*x - a - 40. What is the first derivative of x*c**2 - 2 + v - 4 wrt c?\nAnswer: 14*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 236 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 11000101000 (base 2) to base 16\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -162*d + 164*d - 13, d - 3 = 0 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-2)*-24*16\/24?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.228 less than -0.04?\nAnswer: -0.268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h - 69 = 27. Let r be 1\/3*2*6. Suppose -4*y - a = a - 18, r*a = -y + 22. Calculate the smallest common multiple of h and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c**2\/3 + 31775*c\/3 = 0. What is c?\nAnswer: -6355, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10\/13? (a) 0.1 (b) -3 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 + 4 - 4 + 2)*(7*m**2 - m**2 - 2*m**2).\nAnswer: 8*m**4 + 8*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 96760 a multiple of 236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from doboddddhddzddbdhbd. What is prob of sequence booh?\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*z + 5*z = -2*g + 19*z - 133, 10*g + 1175 = -9*g - z for g.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 77 - -74. Let m = 21 + -17. Suppose -n + 32 = 2*c, m*c - 3 = n - 53. Calculate the remainder when s is divided by n.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 506000013.\nAnswer: 3, 67, 1553, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 10:22 PM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1771837, 0.4, 0.01 in increasing order.\nAnswer: 0.01, 0.4, 1771837","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = w - 4*w. Let b = -6 + 11. Suppose -b - 15 = -w*i. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.4 - 1.4. Let k = 6 - 4. Let r be 9\/(-15)*k\/6. Which is the closest to 0.1? (a) -5 (b) r (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -m + 14, 5*m - 73 + 23 = 5*u. Calculate the remainder when 34 is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 225363 or 225361?\nAnswer: 225363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence er when two letters picked without replacement from worflerel?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-40047000)\/(14\/((-56)\/(-6)) - 3\/6). What is b rounded to the nearest 1000000?\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 19*t - 816 = 0. Is t a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94993 to the power of 1\/2, to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l + 16*l = 2*l. Sort 3, -4, 214, l in descending order.\nAnswer: 214, 3, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*t = 3*t + 270. Factor -2\/7*q**t + 2\/7*q**5 + 0 + 0*q + 2\/7*q**4 - 2\/7*q**2.\nAnswer: 2*q**2*(q - 1)*(q + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 6, -4\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/95)\/(-2)*(-13)\/(156\/(-60))?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 392056.\nAnswer: 1176168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 65*l. Let g(p) = 17*p. Determine q(g(r)).\nAnswer: 1105*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 302322124?\nAnswer: 2, 13, 5813887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4765893 is divided by 19140?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 69*d + 608. What is u(-9)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 462 and 3960.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - r**2 + r + 34. Let c be u(0). Suppose -5*y + c = 2*b, 4*y + b - 14 = 2*y. Suppose y = 4*p - 5*p. Sort p, 4, 3 in descending order.\nAnswer: 4, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 - 0.2. Let o(y) be the third derivative of -y**5\/60 + 5*y**4\/24 + y**3\/2 + 2*y**2. Let d be o(6). Is d at least x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of 389*p**4\/4 + 374*p**3\/3 - 513. Find the third derivative of t(g) wrt g.\nAnswer: 2334","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - 20*x - 155. Calculate c(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 274 a factor of 1887586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 27988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*k**2)*(0 + 0 + 4) - 2*k**2 - 2*k**2 + 2*k**2.\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 5*v + 5, 18*v = -2*y + 20*v + 6. Let d be -2 - -4 - -17 - (y - 2). Solve 3*f = z + 13, 3*f - 7*f + d = -2*z for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m - 95. Let t(n) = 4*n - 405. Let b(h) = -13*q(h) + 3*t(h). Let p(l) = -2*l + 19. Determine 3*b(u) - 2*p(u).\nAnswer: u + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -h + k - 19, 2*k = 10. What is the remainder when 9 is divided by (-2)\/h + 86\/18?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a - 3. Let r be l(-2). Let d(z) = 4*z**2 - z + 1. Let p(y) = 7*y**2 - 2*y + 2. What is r*d(s) + 3*p(s)?\nAnswer: s**2 - s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 604 and 12.\nAnswer: 1812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*n - 220 = 18*n. Suppose k + 3*k = -n. Let u(m) = m**2 - 2*m - 4. Let v(g) = -g - 1. Let a(h) = -u(h) + 5*v(h). Give a(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from crrrrrccrr. What is prob of picking 3 c?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 65 (b) 1 (c) 0 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6918*x + 28 = 3*h - 6923*x, 2*x - 57 = -5*h for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -291*0.01\nAnswer: -2.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-16*30\/(-60)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11413.97164 rounded to 1 dp?\nAnswer: -11414","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s - 15. Let h be x(-18). Solve 3*b - h = -9 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/372 and 51\/6302486.\nAnswer: 37814916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 27\/4 of a kilogram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 27500947.69 to the nearest one hundred thousand.\nAnswer: 27500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -55 - 6. Suppose -6 = 5*y - 1, -225 = -4*f + y. Let i = p + f. Is i at least as big as -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1743.5 + 1093. Let d = s + 651. Which is the second biggest value? (a) 0.03 (b) d (c) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2820.8 + -2821. Let x = -6 + 2. What is the third biggest value in 2\/127, x, n?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/16*(5 + -49)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 99 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/6 - 34\/6. Suppose -7*q + 6*q - 2 = 0. Let p be (-8)\/((-24)\/(-15)) - q. Put -21, i, p in decreasing order.\nAnswer: p, i, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10 + 288\/(-27))\/((-2)\/(-9)). What is the nearest to 7 in 3, s, 1\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 135295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/(((-15)\/2378)\/(-5)). Let w = f - 71409\/10. Find the common denominator of 2\/9 and w.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a tonne in grams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 2, -0.029 in descending order.\nAnswer: 4, 2, -0.029, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -28*i**2 + 199*i - 188. Calculate o(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 5*r**2 + 6*r - 36. What is o(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -16*u**2 + 7*u. Let f = 504 + -282. Suppose -3*q - 10 = -8*q. Let r(z) = -f - q*z + 5*z**2 + 222. What is 2*c(v) + 7*r(v)?\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/33 greater than -30009\/794?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 5*p + 4 = -12, -3*w = -3*p - 24. Suppose 4*k = w - 19, 5*b - 4*k - 76 = 0. Let m = b + 0. Solve 5*u + 3 + m = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -419608793, -419608796, -419608801, -419608808?\nAnswer: -419608817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*z + 98 = 13*z. Put -20, -8, z in decreasing order.\nAnswer: z, -8, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + 48\/(-15) - 15\/(-75). Let l = -3.058 - -0.058. Put j, 0.1, 3\/5, l in ascending order.\nAnswer: l, j, 0.1, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 0) + (2756919 - 1). Let u = b + -5326920. What is u rounded to the nearest 100000?\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3305.0299 rounded to the nearest 100?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2. Let g(u) be the third derivative of 5\/24*u**4 + 0*u + 0*u**3 - 102*u**2 + 0. What is y(g(m))?\nAnswer: -25*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -579*p + 497?\nAnswer: -579","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 4*l, 5*n = 6*l - 7*l for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -21771648 + -1?\nAnswer: -21771649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 458528675 to the nearest integer?\nAnswer: 21413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away 1396933?\nAnswer: -1396931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ioo when three letters picked without replacement from iiooiooioooio?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 5) to base 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from goooooogggooooogoog. What is prob of sequence oo?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-5432)\/1584 - ((-40)\/22 + 2) and -47\/66.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2249 (b) -1\/69 (c) -1\/6 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2 + 51*j + 114.\nAnswer: -3*(j - 19)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8455*b + 12 - 397 = -8466*b for b.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 216047604821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15590543?\nAnswer: 15590543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/920 and 74\/207.\nAnswer: 8280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-86*l**2 + 50*l**2 + l + 44*l**2)*(3*l - 5*l + 0*l + (2 + l - 2)*(1 + 1 - 1) + 2 - 2 - 4*l - 2*l + 1 - 1) + l**3 + 2*l**3 - 6*l**3.\nAnswer: -59*l**3 - 7*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 130 by -2.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/10)\/((-4)\/3).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ayyzyyyyyeyymmyayye. What is prob of sequence mza?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 divided by -5.\nAnswer: 26\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 58557864 and 2115.\nAnswer: 878367960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 4*o - 3*o - 191, -5*u = 3*o - 480. Let p(c) = c**2 + 5*c - 2. Let v be p(-5). Let l be 1 - (v + u\/30). Which is greater: 1\/3 or l?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (5 - (0 - (-3 + 8 - 1)) - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 + 4)*(8 - 8 + 9*r**4) + 3 + 2 + r**4 - 4 to y*r**4 + a*r + i*r**3 + n + u*r**2 and give y.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -419, -450, -483, -518?\n\"Answer: -h**2 - 28*h - 390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 42769777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1217809 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16918234969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/6*126\/168.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 69505623?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4140 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(10\/7)*b**(1\/3)*(b*b*((b**(-7)\/b)\/b*b)\/b*b*b)\/b**(2\/21) assuming b is positive.\nAnswer: b**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4*v + 2 = 0, 3*v - 2 - 2 = -2*m. Suppose 5*b + 8 = -m. Put -1, -3, b in descending order.\nAnswer: -1, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -379068 and 0.2.\nAnswer: -75813.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -2*x**4 - 233*x**3\/4 - 861*x**2\/4 - 226*x - 25 = 0.\nAnswer: -25, -2, -1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 40\/2234481?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -9 - -97*(-2)\/(-22). Sort -3\/4, -0.01, -5, 4, d.\nAnswer: -5, -3\/4, d, -0.01, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*h = 30*h + 208. Solve -34 = -4*l - h for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 761610 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y - 110 = 5*y. Let i be 855\/(-75)*y\/3. Suppose -5*q = -i - 217. Is 8 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**3 - 111*c**2 + 111*c**2.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of c**5\/10 - 5*c**4\/12 - 9*c**2. Find the second derivative of n(b) wrt b.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 476319 - 476319 - 1414*n.\nAnswer: -1414*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.3, 0, 14?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*p**5 + 710*p - 710*p + (-p**4 - 4*p**2 + 4*p**2)*(3*p - 2*p - 3*p).\nAnswer: 18*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 1348 divide 80920440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/5 of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*x + 26*x - h = 73, 0 = x + 103*x + h - 1763 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 2*j**2 + j - 8. Calculate b(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2103 - 3?\nAnswer: 2100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddl when three letters picked without replacement from uuuulddddozoludd?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3652?\nAnswer: 2, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (4 + -8)) + -5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 216\/277? (a) -0.01 (b) 2\/3 (c) 5 (d) -1\/7 (e) 19 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.089 - 0.08900136. What is d rounded to seven decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54998011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 61 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10121112 - -1?\nAnswer: -10121111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 6. Suppose -p*r = -65 - 63. Suppose x + x = r. Is 8 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 + -11. Suppose 7*t - 5*k + 20620 = 2*t, -20602 = a*t + 4*k. Let h = -41177\/10 - t. Calculate the common denominator of 36\/7 and h.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -277*z + 17. Let x(p) = -1. Let b(r) = -g(r) - 6*x(r). Let m(j) = 46*j - 1379. Let l be m(30). Does 13 divide b(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 363982 divided by 5.\nAnswer: 363982\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -o**3\/6 - 24*o**2. Let f(j) = 2*j + 6. Let y(m) = -f(m) - 6*g(m). Let w(d) = d**2. What is y(w(p))?\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 47 = -o, -o + 12 = 3*o. Let c(p) = -2*p**2 - 22*p - 25. Let l be c(q). Sort -1, l, 3, 0 in decreasing order.\nAnswer: 3, 0, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*y - 8*y + 33*y**3 - 8*y + 23*y wrt y?\nAnswer: 198*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(605)*1)**2 + (sqrt(605) + sqrt(605)*-1)*-5)*-1.\nAnswer: -15125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -8 from -21.34.\nAnswer: -13.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 639 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(960) - (sqrt(960) + sqrt(960)*2) - sqrt(960) - sqrt(960)) - sqrt(960))\/(sqrt(21)\/(6*(sqrt(7) + sqrt(21)\/sqrt(3)))).\nAnswer: 2208*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 6 = -p. Suppose 5 = 2*s - p. Suppose s*j - 17400870 = 23799130. Round j to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {h: 5, k: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 31*r = -36*r, -2*i = -r - 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1204280 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 512963 times -5?\nAnswer: -2564815","meta":{"dup_signals":{},"source":"arithmetic__mul_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: What is -0.00001128573 rounded to 7 dps?\nAnswer: -0.0000113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-64)\/(-112) - (-681)\/21. Suppose 43 + 23 = q*l. Solve 0 = -4*g - 6 - l for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/((-86)\/10 + 9). Suppose -5*n + 92 = -48. Solve 4*d + 16 = l, o*l + n = -2*d - 2 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137943 a multiple of 131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7449 + 8343. What is the greatest common divisor of 3278 and o?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 3588 = 5*w - 1688, 2*w = -3*c + 3957. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -7.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 15*g + 11. Give b(14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 472186759 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 51*n - 324. Let a(j) = 5*j**2 - 306*j - 1941. Let w(t) = 2*a(t) - 13*r(t). Determine g, given that w(g) = 0.\nAnswer: -5, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 421 = -19*m - 643. Let s be (21 + -22)\/(1\/(-5)) + m. Sort 0, 3, s, 5.\nAnswer: s, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -5*w**3 - 188*w**2 - 1621*w + 1799. Let c(z) = z**2 + 2*z + 2. Let h(m) = 3*c(m) + l(m). Let h(s) = 0. Calculate s.\nAnswer: -19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 3*j = 36, -5*z + 141*j = -445 - 1383 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*t**2 - 756*t + 2916 = 0. What is t?\nAnswer: 54\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a millennium in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -3*f + 15. Let k = f + -3. Let p(o) = -18 + 2*o + k. Let w(j) = -j**2. Calculate w(p(n)).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-28)\/21*1*18\/(-1). Suppose 0 = d + 3*z - 4, -4*d + r + 26 = -5*z. Let l(q) = -q**3 + 10*q**2. Calculate l(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 4*n**3 + 3*n**2 + 8*n - 5. Does 15 divide b(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -3*y - b - 6, -b + 10 = -5*y. Let j = -321 + 317. Put y, j, 5, -1 in decreasing order.\nAnswer: 5, -1, y, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 25, 37, 49, 61?\n\"Answer: 12*a + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000743 to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*t - 146*t + 245*t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 4:21 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15160 and 80?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (143 - 143 - w)*(2 - 4 + 1)*(2 + 2 - 1) to the form n*w + t and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 95258547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - 91542807664.\nAnswer: -91542807664.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -14. Suppose 0*s = 4*s + 3*r + 25, 5*s - 5*r = -p. Put 1, -3, s in increasing order.\nAnswer: s, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4642*q + 4324*q - 954 = 0. Suppose -2*s + 14 = -3*s - 5*n, -n - 1 = 2*s. Put s, q, -6 in ascending order.\nAnswer: -6, q, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8412896962 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 a when two letters picked without replacement from aaakkiawkoakwaak.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 30\/(39 - 99) + 1037\/(-2). Is -4661\/9 >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6813 - 152*n + n + 153*n - 2301 in the form j*n + r and give r.\nAnswer: -9114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/18 - 61\/(-6). Let a = i + -7. Suppose a*u + 17 = f + 2*u, 4*f + 4*u - 92 = 0. Solve f = 3*z + 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 274986553 to the nearest integer?\nAnswer: 16583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 739811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 57917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*v = -522 - 851 + 1741 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8552374 - 0.008.\nAnswer: -8552374.008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -5 - (-6 - -1)) + -6 - -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32.5 - -30. Let q = -0.5 + k. Let t be (-7)\/(-30) - (3 - 104\/40). What is the third smallest value in 1, t, 0, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from affammabbjaftmjfbfmb. Give prob of picking 2 a, 1 t, and 1 f.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -13*d**3 - 1. Let g(c) = 53*c**3 + 5. Let f(r) = -2*g(r) - 9*j(r). What is the derivative of f(l) wrt l?\nAnswer: 33*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 18. Which is the second smallest value? (a) 0 (b) 4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5401066?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**3 - 21*k**2 + 6*k + 28. Let h be m(-10). Sort 1\/4, 2, h, 1\/2.\nAnswer: h, 1\/4, 1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1277797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -945*n + 472*n - n**2 + 12 + 474*n. Let r be j(4). Solve r + 1 = -x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus 61712193?\nAnswer: 61712193.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4179436 by -1.\nAnswer: -4179436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/7 + (-402)\/(-231). Let t = k - 21\/11. Find the common denominator of t and 69\/28.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 42\/105 - 16\/(-10). Solve -3*s - g*s - 5 = 2*y, -4*y - 23 = -3*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 46 + (3\/(-1) - -2). Suppose 4*m - s = 7. Let x(j) = 4*j**3 + 2*j**2 - j. What is the remainder when x(2) is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - 14. Suppose 0 = -2*l + 10, -2*r + 4*l - 7 = 9. Factor 2*u**t - u**2 + r - 2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/(4\/(16\/6)). Let x(d) = 27*d**2 - 270*d - 3. Let c be x(13). Suppose -a - c = -w*a. Does 15 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -1. Let v = -1 - -1.1. What is the nearest to 1\/2 in -2, v, d?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of 0*h**6 + 0*h**2 + 0*h**4 + 0*h + 18\/7*h**7 - 28\/3*h**3 + 48 + 0*h**5. What is the third derivative of a(m) wrt m?\nAnswer: 2160*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i + 9. Let z be k(-7). Let d be (-15)\/(-70)*(z - 0). Let h = 0 - 1. Which is the nearest to h? (a) 0.2 (b) d (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/i**(-1\/25)*i\/(i**19*i))**10 assuming i is positive.\nAnswer: i**(-848\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 487764 divided by -28692.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 688 and 32594?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m + 2. Let a = 16 + -11. Let x be v(a). Let t(l) be the third derivative of -l**6\/120 - l**5\/30 + l**4\/24 + 17*l**2. Give t(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(26)\/(sqrt(128) + sqrt(2)) + -1 - ((sqrt(13) + 1 + sqrt(13))*3 - (sqrt(13) + sqrt(208) + sqrt(13))*-5)) + -4)**2.\nAnswer: 5168*sqrt(13)\/9 + 1361461\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6029546?\nAnswer: 2, 43, 70111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t + 1. Let s(u) be the first derivative of u**3\/2 + 2*u**2 + 9*u - 3. Let x(a) be the first derivative of s(a). What is -2*h(i) + x(i)?\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.195 - -0.195. Which is the nearest to -2? (a) 0.3 (b) o (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 3*s - 36. Suppose 0*x = -3*x + s. Calculate the remainder when 24 is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*z**2 - 2*z**2 + 4*z**5 + 1805*z**3 - 1817*z**3.\nAnswer: 4*z**2*(z - 2)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-6 - -3) - 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/p**6))\/p**(-4))\/(p\/(p\/(p**(2\/7)*p))*p**(-4)*p)*(p**(2\/5))**(14\/5)*p**0*(p\/((p**(-3\/4)\/p)\/p)*p)\/p assuming p is positive.\nAnswer: p**(11609\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -13*k**2. Let s(n) be the first derivative of -416*n**3\/3 + 7182. Determine -130*b(u) + 4*s(u).\nAnswer: 26*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 6*x - 25 = 5*x, 0 = -5*x - 15. Let b be (5\/(-2))\/(9\/(-18)). Let m = c - b. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 10) to base 9\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1632616 to the nearest integer?\nAnswer: 1278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**2 - 19. Let i(h) = -2*h**2 + h + 2. Calculate d(u) - 4*i(u).\nAnswer: 6*u**2 - 4*u - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, x: 13}. What is prob of sequence xxx?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 2216 = 4*f + 2174, -2*t = 12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwxjjcjwxjjc. Give prob of picking 2 j, 1 x, and 1 c.\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5137*c*p**5 + 14809*c*p**4 + 13*c*p**2 + 229*c*p + 2*c + 52*p**2 - 2*p - 2 wrt p?\nAnswer: -308220*c*p**2 + 355416*c*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 62 - 43. Suppose 3*y - 23 = i. What is the smallest common multiple of y and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6 + (-132)\/(-10))*2860\/8. Let l(b) = 2574 - 3*b - h. Let f(p) = -7*p. Calculate f(l(x)).\nAnswer: 21*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.98 - -0.02. Let y = 4.76 - 0.86. Let f = -2.9 + y. Sort -4, b, -3, f in descending order.\nAnswer: b, f, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -244221\/40 - -1732913\/120. Let u = -8346 + k. Find the common denominator of u and 97\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -428*l + 427*l + 5*w = -10, -3*w - 15 = 0 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.04 - -4.34. Let a = -4 + q. Sort 0.1, -4, a in descending order.\nAnswer: a, 0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 4\/3, -2\/15, -3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/9)\/(s\/s**(-4\/7)))**10*(s*s**(-5)\/s*s\/(((s\/(s\/s**6))\/s*s)\/s))\/(s\/(s\/s**(-6))*s**(-4)) assuming s is positive.\nAnswer: s**(-997\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 12\/13*x**4 + 18\/13*x + 28\/13*x**3 + 2\/13*x**5 + 4\/13 + 32\/13*x**2 = 0. Calculate x.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(143) - (4*(sqrt(143) - 1*sqrt(143)) + sqrt(143))) + (-2*sqrt(143) + sqrt(143))*6)\/(-6*(sqrt(44) + sqrt(11))*-4).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4528129162.\nAnswer: 2, 101, 22416481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1205\/20842 + 39371213\/54084990. Let a = k - 3\/865. Solve -10\/3*w - a*w**3 + 8\/3*w**2 + 4\/3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -19*h + 2. Let a be (6\/2)\/((-4)\/(-36)). Suppose 3*j + a = -4*s, -4*s = -2*j + 4*j + 22. What is the tens digit of d(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -1 - 15. Suppose -i*z = -4, a - 5*z = -3*a + 15999995. Round a to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(-1))\/(-11 - -14). Which is bigger: 20\/3 or t?\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 47944*l**2*q - 109*l*q + 2*l - q + 13 wrt l.\nAnswer: 95888*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154 = -1865*s + 1843*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -469*o + 462*o + 37145 = -25456. List the prime factors of o.\nAnswer: 3, 11, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 9 + (9072\/387)\/12.\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/7 - 10366*p\/7 + 806432\/7.\nAnswer: 2*(p - 5104)*(p - 79)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -51.343469 rounded to the nearest integer?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 835?\nAnswer: 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 = 4*v - 455. What is the least common multiple of 18 and v?\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -205*j**3 - 4720*j**2 - 11835*j - 40. Let z(v) = 16*v**3 + 363*v**2 + 911*v + 3. Let i(s) = -3*f(s) - 40*z(s). Determine p, given that i(p) = 0.\nAnswer: -11, -17\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44.3078713 - 51.80787073. Let f = n - -7.5. Round f to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1819937387\/8262 + 89000\/4131. Let i = -225788 + v. Let s = i + 5490. Find the common denominator of 1\/20 and s.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1986594519?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 71169970?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.3959 (b) 17\/25 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38 and 414?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -693.93 - -698. Let j = -0.07 + b. What is the closest to 1 in 2\/5, 5, j?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/(-54) + -2*1\/30. Let w be 6\/15 - (-20)\/(-25). Let h = -6.7 + -0.3. Which is the nearest to h? (a) 0 (b) w (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + -1551797899660.\nAnswer: -1551797899665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 5*z + 25, 7*z = d + 4*z - 7. Solve d*c = -9 - 7 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46.5 + -198.5. Let i = 236 + z. Which is the second smallest value? (a) 1 (b) 0.1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -12, 2\/11, -383928?\nAnswer: -383928","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 53241179963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9626*k**4 - 2*k - 416?\nAnswer: 115512*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 4 - 3)*(-2*y - 2 + 2) + 25*y - 21*y - 272*y)*(-6 - 4*y**3 + 6) in the form z*y**3 + g*y**2 + i*y + r + w*y**4 and give w.\nAnswer: 1064","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -l**5\/180 - 5*l**4\/36 - 25*l**3\/18 + 115*l**2\/2 - 9*l. Let v(p) be the first derivative of n(p). Let v(b) = 0. What is b?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -25.07? (a) -1 (b) -5 (c) 5 (d) -17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7690, 15322, 22938, 30532, 38098, 45630, 53122, 60568?\nAnswer: 67962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tcp when three letters picked without replacement from {c: 1, t: 2, p: 1, w: 2, r: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2 + 195*y - 370.\nAnswer: -5*(y - 37)*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 9*s - 4. Let o(j) = -j**3 + 5*j**2 + 5*j - 1. Let g be o(6). List the prime factors of v(g).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.109 less than -703098?\nAnswer: -703151.109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*a = 19*a + a + 19*a + 188 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41 - 66. Let q be (-60)\/r - (-4)\/(-10). Are q and 4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)\/(5*(sqrt(9) - sqrt(9)*-1))*-1)**2.\nAnswer: 17\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/(-14) - 3\/126*142 and -3\/26?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from addrrdmd. Give prob of sequence rm.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 5:10 PM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -353*v - 354*v + 705*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 111 + -75. Let v = -35 + q. Which is the nearest to 0? (a) 2 (b) -3\/8 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o - 5*c + 35, 1061*c - 1056*c - 35 = 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -29*d**3 - 89*d**2 - 319*d. Let o(l) = -10*l**3 - 30*l**2 - 107*l. Let p(k) = 6*b(k) - 17*o(k). Find the second derivative of p(v) wrt v.\nAnswer: -24*v - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -2\/765, -1, 1\/13960?\nAnswer: -2\/765","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**3\/j)\/j)**(-1\/16)*(j\/((j\/(j\/(j**9*j)))\/j))\/((j*j\/(j\/(j*j**(-13\/4))))\/j))**(2\/29) assuming j is positive.\nAnswer: j**(-93\/232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002482 rounded to 5 decimal places?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2610)\/23200*(-4)\/(-3)*-85.\nAnswer: 51\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -0.5 (c) 0.2 (d) 16\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -248*n + 1440 = -3*n - 1010. Let q(x) = -x - 1. Let m be q(7). Let c = m - -15. What is the smallest common multiple of n and c?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1294 - 1280. Solve 0 = -4*p - 2*v + d, -5*p + 12 = 3*v - 6*v for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 8 - 24. Suppose 0 = 4*o - 4*z - 216, -270 = -5*o + 5*z - z. Let s be -3 + o\/2 - c. Solve -3*u - 4*n = -23, -u - u = 5*n - s for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.545 - -5.545. What is the nearest to -1\/3 in 1\/7, -4, z?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (30\/(-133))\/((-16)\/(-84)) and 7\/4.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 269469063.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2091*d + 2095*d - 6282*d + 2094*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 20*m - 9. Let s be t(-15). Let k = -47 - s. Suppose 75 = 42*z - k*z. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - (-3 + -6)) + (-3 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/130)\/(-9)*5.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of v**4\/6 - 8*v**3\/3 - 9*v**2\/2 - 8. Let h(i) be the second derivative of y(i). Let k be h(4). Solve -z + 5 + 0 = k for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 369 - 359. Suppose o - l = 5, -o - 2*o - 9 = 5*l. Suppose d = o*d - 3. Solve -5*m - 3*s + z = 0, 0 = -d*m - 3*s + 7 + 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3269788 rounded to the nearest 1000?\nAnswer: -3270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g - 13. Let j be n(20). Calculate the greatest common factor of j and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.952967l in millilitres?\nAnswer: 952.967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -1\/120*x**5 + 0*x**4 + 2*x**2 - 3\/140*x**7 - 1\/40*x**6 + 0*x + 0*x**3 + 0. Suppose o(k) = 0. Calculate k.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17868146 is divided by 590.\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2891*m**3*q**3 - 2*m**3 + 731*m**2*q**2 + m**2 - m*q wrt q?\nAnswer: -17346*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(30) + (sqrt(3000) - 2*sqrt(3000)))*-5)\/(sqrt(6)*1*4 - (sqrt(36) + sqrt(72)\/sqrt(2))\/sqrt(6))*-1)**2.\nAnswer: 10125\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -20044000 (base 5) to base 11\nAnswer: -a9713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5393760 divided by -56185.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 591322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 752958 is divided by 109.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 232003 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 79402310 and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 454 - 452. Suppose 8 = 5*c + 4*h, -c = -3*c + h - g. Solve -1 = -c*v + v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*a**5 + 9365*a**4 - 240350*a**3 + 319050*a**2 + 859185*a + 290385 = 0. What is a?\nAnswer: -1, -3\/7, 3, 27, 239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + c - 80 = 0, c - 53 = 3*z - 3. Let y(k) = k**2 + 23*k + 3. Let m be y(z). Is (-18)\/m - (-752)\/13 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-2)*(30\/2 + 3). Let p = v + 42. Suppose 3*b - 5*t = 54, p = 3*t - 3. List the prime factors of b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -55, -47, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -4*o - 0*v - 2, 2*v - 4 = 2*o. Let a(s) = -s**3 + s**2 + 20. Calculate the remainder when (57\/(-5))\/(((-99)\/30)\/11) is divided by a(o).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.2 + -0.8. Let q = h - -3. Let o = -1.69 - -1.59. What is the nearest to 0.1 in -5, o, q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52 - 13. List the prime factors of k.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -714551 (base 11) in base 6?\nAnswer: -40334423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + 0*r + r)*(1 + 0 + 1) + 4*r - r + 0*r + (-4 - 15 + 7)*(2*r - 3 + 3) + 4*r + 0*r - 3*r + (1 + 2*r - 1)*(-3 - 2 + 3).\nAnswer: -18*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*t**4 - 87*t**3 - 192*t**2 - 12*t = 0 for t.\nAnswer: -1, -2\/31, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2703383 is divided by 8242?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3 + 110*d**2 + 214*d + 106.\nAnswer: 2*(d + 1)**2*(d + 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -38*h - 140. Let z(i) = -9*i - 35. Let m(v) = 2*y(v) - 9*z(v). Let r be m(-7). Solve r = 2*c + 10 - 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((5*f - 4*f + f)*(2 - 4 + 1) + 4*f - 4*f - 3*f + 3*f - 2*f - 2*f)*(-6664*f + 10535*f + 9559*f) as o*f + k*f**2 + v and give k.\nAnswer: -80580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 15 - 4\/(-1). Let k be 6\/(-2)*20\/(-12). Suppose -a - 5*d = 2*a - 584, 2*a + k*d = 386. What is the greatest common factor of g and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4300531844 a multiple of 196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of n**6\/360 + n**4\/8 + n**2. Let w(f) be the second derivative of r(f). Calculate w(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.49 - -1.09. What is the nearest to -1\/14 in 4, d, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -80770320*g**3 + 2*g**2 - 419*g - 596309.\nAnswer: -484621920*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of 3\/2*j**2 + 6 - 2*j**3 + 0*j. Find the second derivative of x(z) wrt z.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 56, 102, 186, 320, 516?\nAnswer: 786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -2. Let f = 0 + z. Let v be (-2)\/(-6)*f - -2. Calculate the greatest common factor of v and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 201364480 to the nearest integer?\nAnswer: 14190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**3 - 22053696*q**2 + 44107380*q = 0. What is q?\nAnswer: 0, 2, 7351230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/12 and 79\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**4 + 4810*h**3 + 1166385*h**2 + 4607980*h + 4588820.\nAnswer: 5*(h + 2)**2*(h + 479)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.7224 + 2.2224. Put u, 0, -8\/3, 13, 11 in increasing order.\nAnswer: -8\/3, 0, u, 11, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i**2 + 3*i + 2. Let c = -509 + 511. Determine j(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -156.187 to the nearest ten.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10658, -10662, -10668, -10676, -10686, -10698, -10712?\nAnswer: -10728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4463399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 6*u**2 + 6*u + 3. Let p be d(7). Suppose 7 = g + 3*j, 4*g + j = 4*j + 43. Let r = g + p. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-5) - (23\/(-5) - -1). Suppose x = -12*p + 13*p. Calculate the remainder when 73 is divided by (p + 10\/(-3))\/(1\/(-45)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (18\/8)\/(1455\/40). Let w = -624\/679 + x. Which is the second smallest value? (a) -0.1 (b) 0 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1640, 5, -3\/7, 251, 0?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 54*q**5*x**3 + 2*q**5*x + 14*q**2*x**3 + 6*x**2 wrt q.\nAnswer: 3240*q**2*x**3 + 120*q**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 13) in base 2?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-56)\/(-48) - (3 - 0 - 2). Let t(d) be the second derivative of -o*d**3 + 0 - 2*d - 5\/2*d**2. Give t(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36100 rounded to the nearest one thousand?\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 13*y - 5. Let s(u) = 32*u - 12. Let j(l) = -12*h(l) + 5*s(l). Let c = 33 + -34. Determine j(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 183\/21 + (-2)\/28*-4. Find the second derivative of u*z**4 + z**4 + 4 - 44*z + 52*z wrt z.\nAnswer: 120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-225))\/(191\/12033).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + (14 - (6 + -1)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = 2*t + 36. Calculate the highest common factor of t and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21.98 or -2?\nAnswer: 21.98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z - 6. Let g be q(-6). Suppose g = -2*h - 0 - 2. Let k be ((-4)\/(-6))\/(1*-1). Which is smaller: k or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -42?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1756202563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-56)\/(-224) - 3\/((-36)\/355233) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*0.027735.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2645475818 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 76473\/35 or 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80 - 185.\nAnswer: -265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -63.8976205 rounded to the nearest integer?\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**2 - 1. Suppose -m - 1 = 0, -5*m + 8 - 23 = 5*b. Let d(l) = -4*l**2 + 3. Let n(p) = b*d(p) - 6*v(p). Let g(z) = 9*z. Give g(n(r)).\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 135 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*q - 413*q**3 - 55*q + 156*q - 82*q + 66*q**3 - 2*q**2.\nAnswer: -347*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/112 and -85\/1507744.\nAnswer: 1507744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 13*x + 11. Let b be o(6). What is the second derivative of 36*p - b*p + 33*p + 28*p + 8*p**2 wrt p?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135*y = 137*y - 256. Calculate the highest common divisor of 16 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/17172 and -139\/2238084.\nAnswer: 6714252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cidggicddigcdi. What is prob of picking 1 g and 1 c?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -1. Let p = -0.0887 - 0.0113. What is the nearest to p in 0, -1, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 1:17 AM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -61567 (base 9) to base 4.\nAnswer: -21321301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22.854 + -23.134. Let w = -13.66 + 14. Let d = 0.06 + w. Which is the closest to -1? (a) d (b) n (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4186144 + 63465\nAnswer: 4249609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1238147823 to the power of 1\/4, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of -f**4\/24 + 7*f**2. Let i be d(-3). Solve 0 = r + i*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1718176 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -i*t**3 + 20*i*t**2 - 5*i*t*w + 792*t**3*w - 12*t - 1 with respect to w.\nAnswer: -5*i*t + 792*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/7*(-42)\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 10*d**2 - 11*d - 14. Let y be l(-9). Suppose -3 = x, 12 = k - y*x - 37. Let z = k + -32. Solve a - 21 = -z*g, 3*g = 5*g - 5*a - 30 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 3*d = t - 842, 5 = d. Let m = t - 12557\/15. Suppose -5*p - 10 = 0, w + 2*p = -0*p - 2. What is the nearest to 0.1 in w, -5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 4*v + 3 + 4 = 0, -5*a - 2*v = -17 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxmx. What is prob of picking 1 x and 2 m?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 94.74 to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 + 35 + -11 + 5 + 50?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 129587063?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -85 + 221*t - 92 - 94 - 2802*t + 273 in the form q*t + r and give q.\nAnswer: -2581","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 281*c - 955*c + 45270 = 846*c + 1498*c for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 169838, 174464, 179090, 183716, 188342, 192968?\nAnswer: 197594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4762111, -9524236, -14286361, -19048486, -23810611?\n\"Answer: -4762125*c + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 6, -32 in ascending order.\nAnswer: -32, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 6, -1, 3 in descending order.\nAnswer: 6, 3, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -495*b + 24. Let z(i) = -9900*i + 473. Let w(o) = -99*p(o) + 5*z(o). Let y be 2\/(-5)*(10 + 0). Is w(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 - 22 + 17)*(151 - 4*r + 3*r + 18).\nAnswer: 24*r - 4056","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p + 2. Let h be 14\/28 - 26\/4. Let o be h*1\/2 + 3. Let r be z(o). Let x(d) = 4*d**2 - 3*d. Give x(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/124 and -37\/42540.\nAnswer: 1318740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.36 + 0.06. Let o be (-8)\/6*(-18)\/(-44). Sort o, a, -2\/13.\nAnswer: o, a, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**3 + 28*k**2 - 3*k - 4. Calculate v(-14).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70680 and 53010.\nAnswer: 212040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -1 + 2 + -3 + 91 is divided by (-2 + 0\/3)\/((-116)\/1334) - 5?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 468?\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 3, 4, -0.2.\nAnswer: -0.2, 3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 - 26*i. Let m(a) = 5*a**2 + 106*a. Let t(p) = -13*c(p) - 3*m(p). Factor t(k).\nAnswer: -2*k*(k - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + (15 - -1 - (-115 + 118)) - 7?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7330 divided by 5?\nAnswer: -1466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 + -21. What is the least common multiple of j and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -10*r**2 - 5. Let j be k(-3). Let n = -66 - j. Does 7 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 9 = 0, 5*v = -2*k + 111 + 30. What is the highest common divisor of 270 and v?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 5*p - 4*i, p = 3*p + i - 1. Find the first derivative of -2*m + 2*m - p + 2*m + 1 wrt m.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 y when two letters picked without replacement from {y: 1, r: 1, h: 13}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**2 - q + 4. Let d be (-1)\/((-2)\/3 - 12\/(-72)). Let k(c) be the first derivative of 0*c**d - 1 + 2\/3*c**3 + 3*c. What is 2*a(f) - 3*k(f)?\nAnswer: -2*f**2 - 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -171*(4\/(-78))\/(16\/(-104)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in two fifths of a microgram?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve 36*h**5 - 321*h**4 - 63*h**3 + 321*h**2 + 27*h = 0 for h.\nAnswer: -1, -1\/12, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 254 divide 116586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2769136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/3))**(-1\/37)\/(t*t\/t**(-7\/4)*t**(-1\/9))*(t**(1\/4))**25\/((t*t\/(t*t**(-4)\/t*t))\/t**(-3)) assuming t is positive.\nAnswer: t**(-3595\/666)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 5*s**2 + 8*s + 2. Let x be t(4). Let w = x - 15. Solve -5*d - 20 = -3*g + 7*g, 15 = -5*d - w*g for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -15 - 1. Let u = 7 + i. Suppose l = -12*l. Put 5, u, l in increasing order.\nAnswer: l, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 230115 and 93380?\nAnswer: 6443220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 + -221001000?\nAnswer: -221001013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 88713 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (24\/(-9) - -3)*24. Differentiate u + z**2 - z**2 - 4*z**3 with respect to z.\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(385)\/(-1*sqrt(11)))\/(sqrt(112)*2) - (sqrt(5) + sqrt(500)*-2 + (sqrt(5) - (sqrt(20) + sqrt(5))) + 5)*-4)**2.\nAnswer: -3365*sqrt(5) + 2290245\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4905696?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 11 = 5*c. Let o = 1 + 3. Suppose c + o = 5*a. Which is bigger: a or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -216, -235, -290, -399, -580, -851, -1230, -1735?\nAnswer: -2384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(-3*f + 4*f - 3*f + 4*f - 1 + 1 + (f - 2 + 2)*(3 + 1 - 3)).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1273 - 80*r - 1273)*(-r + 2 + r - r) + 2*r**2 - 2*r + 2*r.\nAnswer: 82*r**2 - 160*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o**2 + 4*o - 1. Let n be 4\/8 + (-5)\/(-2). Let t be v(n). Suppose -i = -2*w + t, 3*w - 3*i - 39 = 24. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23674*s**6 - s**2 - 340*s + 7 wrt s.\nAnswer: -2840880*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1136 + 0. Is 71 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 - (-6 + 4\/2). Which is smaller: x or -0.11?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -2) + -4 + (3 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 23. Suppose q = g - 3. What is the highest common divisor of 39 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111 + 17 + 58 - (3 - 7)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven halves of a microgram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5 = -k. Suppose 5*r - 2*r - 15 = 3*d, 0 = -k*r - d - 5. Solve -3*n - 2*g = 2*g, r = -g + 3 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2501 + 2523. Calculate the greatest common divisor of w and 1034.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.3380821 to 4 dps.\nAnswer: 0.3381","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0*f + f + f)*(2*f + 0 + 0)*(-1094*f - 198270 + 198270).\nAnswer: -4376*f**3 - 4376*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -33*j - 177048 + 177213 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 77 and 945?\nAnswer: 10395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.13? (a) -1 (b) 0.2 (c) 0.3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26\/166921 + -598414411\/16859021. Let r be 2\/(-3) - (-1221)\/1818. Let o = u - r. Calculate the common denominator of o and -1\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (2 + 3 + -1) - -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/(-14))\/(112\/392). Let n be 6\/(-4) + (-3)\/m*-3. Solve -n*r + 12 = 3*u, -4*r + r = 4*u - 16 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 41 = 4*v. Let n = 2 - v. Does 6 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/14 + 0 + (-124)\/(-14). Which is bigger: 9 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1183405795 a multiple of 559?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1348 divided by -161?\nAnswer: 1348\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-68)\/(-85) - ((-41 - -47) + 121\/(-5)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2104 - 259890?\nAnswer: -259889.7896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -60*t - 50. Give p(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 3384 = 21*g. List the prime factors of g.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27407*q = -27000*q + 14652 for q.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -21944240 divided by -5486060\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (35\/2 + -16)*(-16)\/(-18). Which is the closest to -16.7? (a) -0.5 (b) -2 (c) 1\/6 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 7*r + 4. Let l be i(7). Put 2, l, 6 in increasing order.\nAnswer: 2, l, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 9*d - 1. Suppose -l - 3*r + 4*r = 2, 3*l + 2*r = 9. Let q be k(l). Solve 7 + q = -5*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2941720 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43067, 43063, 43057, 43049, 43039, 43027?\nAnswer: 43013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {k: 2, q: 5, d: 5}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 2*l**2 - 2*l - 1. Suppose g - 3 = -0. Let t be r(g). Suppose t*j = j + 7. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-724\nAnswer: -217.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 254 = -2*h, -5*y + 6*h - 3*h - 256 = 0. Let z = -50 - y. Solve 2*u - 7*u = z for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62556 to the power of 1\/2, to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 9*a**2 - 15*a + 20. Determine i(-11).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**2 + 5*r - 3. Let y be o(-6). Does 3 divide 20\/3 + 52\/y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28319?\nAnswer: 28319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -42 - -48 - (0 - 37) - 0. Solve -38 = -5*v - i for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 3, 0.5, -18.4, 5.\nAnswer: -18.4, -0.1, 0.5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 9892?\nAnswer: 9887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -5\/3*c**3 + 15\/2*c**2 - 10*c + 10. Let t(x) = 0. What is x?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1269.093 - 1272. Round f to 1 decimal place.\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.32 - 2874.707?\nAnswer: -2874.387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-3 - -5) - (-16 - -3)) + -4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -0.3 (c) 12\/11 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -84 and -1198633.\nAnswer: 100685172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.27429 less than 498?\nAnswer: 497.72571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from taaonnn. What is prob of picking 2 a and 1 o?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -63*(-819)\/23814*-6?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -103 - -146. Let j = t - 45. What is the tens digit of -8*j\/(-10)*-30?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l + 19*l**2 + 5*l**2 + 15*l**2.\nAnswer: 39*l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-two fifths of a meter?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 598*u**2*w**3 + 200*u**2 + 47*u*w**2 + 2*w**3 + 21600*w**2 + 17*w + 10 wrt u?\nAnswer: 1196*u*w**3 + 400*u + 47*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 201?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/(19\/((-57)\/6))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and 0.14476.\nAnswer: -0.85524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1232661.\nAnswer: 3, 251, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**2 + 2*s**5 + s**2 + 12*s**4 - 19*s**5 - 12*s**4 + (28*s**3 + 2*s**3 - 6*s**3)*(0*s**2 - 5*s**2 - s**2).\nAnswer: -161*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -2*i + 14, 4*w + 337*i - 340*i + 21 = 0. Are w and -1\/1792 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*p = 7*p - 60117. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0 (c) -5716 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 957233910*t**4 - 3*t - 86881046 wrt t.\nAnswer: 11486806920*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -143*(-42)\/(-1386) + (-4)\/6 + (73 - -1)\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28 - 7*g - 28)*(0*g + 3*g - g)*((-5 + 5 - 2)*(0*g + 3*g - 2*g) - 4*g + 3*g - g - g - 5*g + 4*g - 2 + 2*g + 2 + 2 - 2*g - 2 + 4*g + 2*g - 3*g).\nAnswer: 42*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1172078592, -1172078594, -1172078596, -1172078598, -1172078600?\nAnswer: -1172078602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -30351000 to the nearest 1000000.\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by ((-5)\/(25\/(-6)))\/(3\/50).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 23*m - 5*m + 2 to q + c*m and give c.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4 + -2*(sqrt(1216) - (1 + sqrt(1216)))*1)**2*3.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 20 = -15*p. Let z(k) = 61612*k**2 - 7*k - 6. Is z(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.321014 centuries?\nAnswer: 0.0321014","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + 8 + 17 + -29 + -12?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/6 + 480\/(-45). Is -1119*(a\/(-15) + -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 + 14 - 9*y**2 + (5*y - 12*y + 6*y)*(4*y - 2*y - 3*y) in the form z*y + u + p*y**2 and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 7, l: 3, d: 3}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20660359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/2 (b) -2\/3 (c) -2\/5 (d) 31\/1069 (e) 2\/7 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + -17. Suppose -15 = -u*w - 5*w. Is 3 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.19 in -0.09, -5, -1\/4, 1\/21?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35939 is divided by 66.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -62 + 63. Let v = -3 - -1.6. Let j = 1.8 + v. What is the third smallest value in j, 0.7, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**(-8)*i*i\/(i\/(i*i\/i**(2\/3))))\/((((i\/(i*i\/i**(-7)*i))\/i)\/i)\/i*i*i**(2\/17)))**(-48) assuming i is positive.\nAnswer: i**(-5888\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -130203001322 (base 4) to base 12\nAnswer: -260a8a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 26716023?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(1250))\/sqrt(2))\/(sqrt(15)\/(sqrt(12)\/sqrt(100))).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/85*(307975\/(-388))\/(-127)\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of 113*t**7\/42 - 13*t**6\/30 - t**4\/4 - 11*t**3\/6 + 3*t**2 + 610*t - 4. Find the third derivative of q(w) wrt w.\nAnswer: 6780*w**2 - 312*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/10 in -1\/5, -1, -87, -0.2245?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 0*j = -3*v - 6, 3*j = -v - 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-5)\/(x**(-2\/7)\/x)*((x*(x*x\/x**(-1)*x)\/x*x)\/x)**35 assuming x is positive.\nAnswer: x**(954\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-3686)\/(-228))\/(2\/3) and 24\/223.\nAnswer: 892","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4\/(-20) + (-2 - (-6663)\/15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -8. Suppose -2*j = x*j + 3744. What is the units digit of ((-2)\/3)\/(13\/j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -8*u**2 + 328*u + 38. Calculate n(41).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 954634697?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 409, 2, 8, -597, 1 in decreasing order.\nAnswer: 409, 8, 3, 2, 1, -3, -597","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.08 - -4.08. Let f = -91 - -102. Sort b, f, 2\/7 in descending order.\nAnswer: f, b, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**5\/7 - 4*d**4\/7 + 400*d**3\/7 - 2784*d**2\/7 + 6624*d\/7 - 5184\/7 = 0.\nAnswer: -18, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.3, 0.4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 0*x - 2*i = 72, -4*x + 96 = -i. Let r = 22 - 20. Suppose -4*l + 4 = r*j, -l + 3*j = -4 - 4. Solve -11 - 12 = l*t + 5*d, -5*d = t + x for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z + 5*z = 4*j + 4, 4*j + 5*z + 2 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -2*q + 92. What is the remainder when q is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 284095426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8 - -4)\/((-3)\/(-4)). Let u = 13 - h. What is the nearest to -1 in -0.4, u, -0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) -0.4 (c) -65.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1871 + 0.662863833?\nAnswer: -1870.337136167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-5)*p*p*p**(4\/3))\/((p\/(p**(-4\/7)*p)*p*p)\/p**(1\/13)) assuming p is positive.\nAnswer: p**(1867\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4489 + 4441. Is h greater than 8\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 7*i = 3*a + 52, 23*i - 18*i - 11 = -4*a - 103 for a.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, q: 3, d: 4, w: 2}. Give prob of picking 2 d and 1 q.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1326616197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3290175876?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 298, -5, -4528.\nAnswer: -4528, -5, 298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 438 and 2774?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2561816?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13949.23 + -13826. Let w = -124 + c. Round w to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2b05 - -9?\nAnswer: 2b12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 4156.022ng?\nAnswer: 0.000000004156022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a microgram in nanograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -6*p**2. Let h(r) = 148*r**2 - 3. Give h(f(m)).\nAnswer: 5328*m**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g + 3*g + 4*g**3 - 2*g.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.5, -16, -20, -437 in decreasing order.\nAnswer: 0.5, -5, -16, -20, -437","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1091760.\nAnswer: 2, 3, 5, 4549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 11. Let f be 39\/6 + (-3)\/6. Let z be (-5)\/3 + f\/6. What is the fourth biggest value in z, 2, a, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 150.22 - -0.5.\nAnswer: 150.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4 + 0.8. Let k = -0.15 + -0.1. Let s = 0.05 - k. What is the third biggest value in m, -0.1, s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 173451976 and 1640?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 173*g**2 + 3028*g + 756. Determine u(-189).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g = -4*g + 20. Let o be 6\/10 - (-109003)\/g. Round o to the nearest one thousand.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jfj when three letters picked without replacement from fffffffjffffjffjjjff.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -884 (base 10) to base 5.\nAnswer: -12014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/9, 59, 3560, 5.\nAnswer: -1\/9, 5, 59, 3560","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 414344\/40 - (-4)\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - -1*(-1 + -1). Let z = g + -3. Let m(h) = h**2 + 8*h - 7. Let p be m(-9). Sort p, z, 5 in increasing order.\nAnswer: z, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of 3*b**7 - 10*b**3\/3 - 33. Find the third derivative of c(k) wrt k.\nAnswer: 2520*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10871267 is divided by 114?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -0.102605.\nAnswer: -0.020521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/274 and (-24)\/204 + 1944\/(-1972).\nAnswer: 7946","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3133 - 3?\nAnswer: 3130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -19 + -377?\nAnswer: -396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i - 2. Let s(w) = 124*w**2 - 19*w - 10. Calculate 5*q(l) - s(l).\nAnswer: -124*l**2 + 9*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3023 - 1136. What are the prime factors of v?\nAnswer: 3, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8905000 a multiple of 500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**4 - 181*y**3 + 549*y**2 - 551*y + 184 = 0.\nAnswer: -184, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of v**2 + 1. Let c(g) = 15*g. Calculate c(x(q)).\nAnswer: 30*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 98*n**2 - 1395754*n - 963150298.\nAnswer: 196*n - 1395754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 + -11. Let f = m - 10. Let h = 244\/369 + -18\/41. Sort -1, h, f in decreasing order.\nAnswer: f, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.051 times 9?\nAnswer: -36.459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.3 - 2.6. Round g to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**3 + 15*b**2 - 5*b**3 - 15*b**2.\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-68) + 99\/(-748). What is the smallest value in 1\/16, z, -0.03, 7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6589 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 243557*m**3 + 28*m**2 - 82*m**2 + 28*m**2 + 26*m**2 - 243552*m**3.\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -34 - -94 - (-2 - (-10 + 3 + 0) - -7)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a gram in milligrams?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13063 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/20)\/(2\/(-160)). Let h(j) = -j**2 - 9*j - 28. Let u be h(-12). Let m = u - p. What is the common denominator of m and 71\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 101 + -15. What is the remainder when g is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 2*o + o)*(12*o + 14*o + o) - 2*o**2 - 6*o**2 + 6*o**2 - 131*o.\nAnswer: 52*o**2 - 131*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -52\/23238687?\nAnswer: -52\/23238687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 23958119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 596*j + 27080. Determine x(-50).\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*(d*d**(4\/5)*d)\/d*d**4*(d\/(d**(-1\/3)\/d))\/(d*d**(-7)))\/(d**(-1\/12)\/(d**(-2\/15)\/d))**45 assuming d is positive.\nAnswer: d**(-1867\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a litre in millilitres?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) -1\/2 (b) 3 (c) -2761 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 765781 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(-4*x + 0*x + 3*x) + 8*x + 9*x - 29*x + (6 - 2 - 2)*(-3*x - x + 2*x) + 10 - 10 - 5*x.\nAnswer: -19*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -627 + 4741 = -3*p + 14*p. Is 12 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3687 + -2155. List the prime factors of n.\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1301235, 2602469, 3903703, 5204937, 6506171, 7807405?\nAnswer: 9108639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 9 = l, -2*l - 2*x - 3*x + 33 = 0. Calculate the remainder when 26 is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -6*w**3 + 21*w**2 - 39*w - 23. Give f(3).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6073\/5 + 1210. What is the common denominator of w and 2\/(-10) - (-4)\/(-30)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.03, 21674, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 c when two letters picked without replacement from {t: 3, g: 6, p: 1, c: 3}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**2 - s + 58. What are the prime factors of x(0)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -1 - 2 - 2*i - 2*i. Is g(-2) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -229, -468, -709, -952, -1197, -1444?\nAnswer: -1693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -613*u**4 - 125*u + 97 - 115 + 133*u wrt u.\nAnswer: -7356*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-2))\/((((-294)\/4)\/21)\/((-21)\/(-636)))?\nAnswer: 3\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssdn when four letters picked without replacement from {e: 1, d: 1, n: 1, s: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6654, 53259, 179666, 425745, 831366, 1436399, 2280714?\nAnswer: 3404181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 5*r - 6, -4*y + 259 = -r. Suppose -w = -2*h + y, 6*h = 2*h - 2*w + 136. Is 5 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -2*l**5\/25 + 20180174*l**4\/25 + 4843244*l**3 + 6457660*l**2 - 121081098*l\/25 - 181621674\/25 = 0.\nAnswer: -3, -1, 1, 10090093","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -830255001*b**3*n + 153798293*b**3 + b**2 - 3*b wrt n?\nAnswer: -830255001*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -1.87, -5, 674, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -x, -3*t + 2*x - 9 = -2*t. Let b(s) = -s**3 + 4*s + 4. What is the units digit of b(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 - 6. Suppose 0 = 5*m - 5, -3*r + x*r + 3*m = 213. Let o = r - 30. Calculate the greatest common divisor of 48 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -93.6 + -651.7. Let k = z + 552. Round k to the nearest 10.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(-14) - 78\/(-14). Suppose -x*z + 6 + 19 = 0. Let j(p) = -4*p**2 + 4*p - 5. Let t(d) = -3*d**2 - 4*d + d - 4 + 6*d. Determine z*t(y) - 4*j(y).\nAnswer: y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003052791 rounded to four decimal places?\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*o + 13 + 15 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/5*h**4 + h**5 + 0*h + 2\/5*h**2 + 1\/5*h**3 + 0.\nAnswer: h**2*(h - 1)**2*(5*h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - (-9)\/6)*-14. Suppose g + v = 16. Suppose -n - 13 = -j, -3*j + n + 55 = 6*n. Calculate the remainder when j is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2 - 37 - 99 - 36*o - 28*o - o**2 + 0*o**2.\nAnswer: 2*(o - 34)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200*s**2 - 194*s**2 - 185*s**2 + 1165*s**2 - 183*s**2 - 189*s**2 - 191*s**2.\nAnswer: 23*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 4*d**2 + 5. Let q = 6 + -10. Calculate the least common multiple of 5 and f(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 29.3 (b) -4 (c) -0.4 (d) 1 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2904 + 4200 = 0. What is the highest common factor of 72 and z?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*p + p - 2 + 19*p + 42*p.\nAnswer: 99*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -133398 + 194338. Round k to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 106121127 to the nearest integer?\nAnswer: 10302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*m**2 + 0*m**4 + 0 - 2\/11*m**3 + 2\/11*m**5 + 0*m.\nAnswer: 2*m**3*(m - 1)*(m + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2 - 130*v**2 - 4 - v + 133*v**2 - 6*v**3 + 0*v. Let k be a(-1). What is the highest common divisor of k and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 2\/125 of a kilogram?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 353 - 236. Let s = r + -465\/4. Suppose -4*l - 2*a = -9*l + 10, l - a = 2. Which is bigger: l or s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sjm when three letters picked without replacement from kcjjjsjskajacjsmm?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*g**3 - 72*g**3 + 331*g**3 - 110*g**3.\nAnswer: 52*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)*-1 + sqrt(72))**2 + -2 + sqrt(72))*2 + -2 - (0 + (-3*sqrt(72)*5 - sqrt(72)))*4.\nAnswer: -6 + 396*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 3. Let p(c) = -7*c**2 + 0*c + 3*c + c**j + 0*c**2. Is p(7) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -96 + (-9 - -4)\/(-5). Let q = -23 - v. Suppose -5 = 7*m + q. Let r(g) = g**3 + 10*g**2 - 9*g + 15. What is r(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 14*p**2 - 3*p + 42. Suppose 0 = -t + g + 9, 3*g - g - 52 = -3*t. Let v be a(t). Solve 0 = -v*b + b - 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2345 + 53*v + 4771 - 2426.\nAnswer: 53*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/24*(-3420)\/(-114)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 531\/(-7080)*(-48)\/207.\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 10:28 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**3 + 7*r**2 - 11*r**2 + 4*r**2.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -399126, -798251, -1197376, -1596501, -1995626, -2394751?\nAnswer: -2793876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 11*k**2 + 11*k + 14. Let g be s(12). Suppose 3*l - 4 = g. Solve -2*j = -5*z + l*j + 20, 2*z - 8 = -j for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -34*t**3 + 8*t**2 - 171*t - 1599. What are the prime factors of j(-9)?\nAnswer: 2, 3, 4229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 6570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 60*n - 303. What is s(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 92*p + 4*p**3 - 90*p - 90*p + p**2 + 274*p to the form h*p**2 + w*p**3 + q*p + z and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 <= 2972986?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 12:18 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294 is divided by 94?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 512 divided by -802?\nAnswer: -256\/401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2191611 at least as big as 6574829\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 116115?\nAnswer: 348345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -423b7?\nAnswer: -423b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.41 times 0.6235?\nAnswer: 7.114135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 14*n**2 + 2 - n + 2*n**3 + 0 - n. Let x be h(-7). Suppose -x = -3*a - 5*y, -5*y + 6 = -4. Solve 3*r - 2*u = -13, -r - u - 5 = -a*u for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9882130?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 19855 + 5*g**2 - 10*g**3 + 21*g**2 - 19860 as o*g + a*g**3 + h + n*g**2 and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3432434 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, o: 11}. Give prob of picking 3 o.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 329871 - 174544. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 64992 - 40499. What are the prime factors of o?\nAnswer: 7, 3499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 332712 and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 11 - (-24 + (-1 - 3)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (8 + 1)) + 4\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.7918844458 take away 5?\nAnswer: -7.7918844458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -10\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x**4 + x**4 - 1 + 5*x**2 + 0*x**4 + 4*x**4 to y*x**2 + r*x + v*x**3 + h + m*x**4 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 56 - 53. Let l = 0.063 - 1.703. Let h = 0.36 - l. Which is the closest to h? (a) 0 (b) -4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k. Let w(g) = 83*g**2. What is w(x(n))?\nAnswer: 83*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 13, 9 in increasing order.\nAnswer: 9, 13, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l + 8*l + 0*l.\nAnswer: 11*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from {w: 1, e: 1, m: 7}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.7333 - 34.3057. Let n = h + 0.339. Let x = -15 - n. What is x rounded to zero dps?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/2)\/((-14)\/105*3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = a + 85. Find the first derivative of -7 + 5 + a - 16*g**3 wrt g.\nAnswer: -48*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14 + 3*(1 + -2). Suppose -4*a + 88 = 4*z, 3*z - 83 + j = -5*a. List the prime factors of z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - -9397567.\nAnswer: 9397566.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 63 + 3\/9*0. Let y = 21 - 12. What is the highest common factor of y and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (-5 + 9 - -15 - 9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/28307 and -43\/10.\nAnswer: 283070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 21. Suppose -4 = -y*n + 10*n. Let l = 5 - 10. Sort n, 1, l.\nAnswer: l, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 279191219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24.8 + -25. Let y be ((-10)\/25 + (-19)\/(-10))\/4. Which is the second smallest value? (a) f (b) -1\/4 (c) -4 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29578 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 826, -1\/5, -7?\nAnswer: 826","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27889\/38 + -734. Suppose 31*k = 12*k. Which is smaller: x or k?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lgbbpgplg. What is prob of sequence pgp?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -2\/135, 0.2, 3\/4, 1, 0 in increasing order.\nAnswer: -2\/7, -2\/135, 0, 0.2, 3\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 44463.31kg in nanograms?\nAnswer: 44463310000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 26 times 1133\nAnswer: 29458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 63 + 55 = 4*n, 92 = 3*n - 2*l. What is the remainder when 63 is divided by n?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 10*f - 10 = 0, f = -4*o + 25. Let p = -8.3 - -8. Let l = p - -1.3. Which is the second smallest value? (a) l (b) o (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 145 - -532774?\nAnswer: 533141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 959*12.\nAnswer: 11508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2845?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 5*g = -5, s - 5*g + 11 = -4 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*j + 1 - 1)*(0 - 3 - 2) - 4*j + 2*j + 3*j - j + 0*j + 3*j + (-j - 4 + 4)*(-5 + 3 + 3))*(2*j + 3*j - 7*j)*(-4*j + 0*j + 2*j).\nAnswer: 48*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 683053 <= 683051?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21680363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pvyv when four letters picked without replacement from {v: 2, p: 3, y: 5, t: 3}.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zsjjjgijjjbjzjjizj. What is prob of sequence jzzg?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13491.9999888405 + 13492. Round u to 7 decimal places.\nAnswer: 0.0000112","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 18*b**2. Let p(r) = -5*r - 11. What is p(z(q))?\nAnswer: -90*q**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-3))\/(7\/(-21)). Let p(b) be the first derivative of 3\/5*b**5 + 3\/4*b**4 - 3\/2*b**l - 4 + 0*b - b**3. Factor p(h).\nAnswer: 3*h*(h - 1)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, g: 7}. What is prob of sequence ng?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + (4 - 21) + -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 - 4*3\/6. Let h be ((-3)\/(-2))\/(3\/4). Suppose 4*k + k - r*c = -h, 4*k + 20 = -3*c. Sort k, 5, -1 in decreasing order.\nAnswer: 5, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 757581 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 0 = 4*g - 4*f + 152, -95 = 3*g - f + 19. Let m = -26 - g. Calculate the greatest common divisor of m and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -3, 74*z = -4*m + 78*z + 36. Suppose m*j = -8*j - 5688. Are j and -315 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 902922091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15858209?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1168*u + u**3 - 1164*u + 0*u**3)*(6 - 1 - 3) to the form k*u**3 + g + q*u**2 + f*u and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -5, 16, 11, -371 in decreasing order.\nAnswer: 16, 11, -1, -2, -5, -371","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7\/14971 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.09, 6.6, 0.3, -0.08, 0?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f = 16, 41594*f + 64 = -2*b + 41595*f for b.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14349.7057 - -0.33.\nAnswer: -14349.3757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 101, 105, 111, 119, 129?\n\"Answer: h**2 + h + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17408 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k - 2*k + 6. Suppose 0 = -4*n + k*n + 132. Suppose -186 = -4*a + 2*w, -w + n = 4*a - a. Does 22 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0 (b) -3 (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*-1*-3*(-8)\/(-1224)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 944 and 56?\nAnswer: 6608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -15\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**3\/9 + 48*p**2 + 430*p\/9 = 0. What is p?\nAnswer: -215, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/99)*z*z**(-1)\/z)\/(z\/(z*z**13))**20 assuming z is positive.\nAnswer: z**(25643\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12752 - 7141. Calculate the remainder when p is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37 - 3542628.84\nAnswer: -3542591.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 353214\/30690 + (-106)\/10?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -10\/22561709?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.033 (b) -15 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 13*n**2 + n + 3. Let p(o) = -14*o**2 - o - 4. Let h be -1 + (-126)\/56*14*2. Let a = 69 + h. Let u(t) = a*y(t) + 4*p(t). Give u(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 54041413?\nAnswer: -54041417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/1530 and -67\/3060?\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 2*o**2. Let h(b) = b**3 + b**2. Calculate -2*h(g) - w(g).\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - h + 5*h = 0. Factor -24*b + 0*b**2 + h*b**2 + 3*b**2 + 18*b + 3.\nAnswer: 3*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 82 + 177 + (-61 - 142)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33 + 2?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ntntynytyttn. Give prob of sequence yyt.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.9 + 5.8. Which is the closest to 1\/7? (a) -0.8 (b) -2\/7 (c) -2 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = g - 2, -3*w - 2 + 0 = -g. Suppose -3*u - g + 8 = 0, 2*u + 1 = q. Suppose -q*m - j + 1530 = -2*j, 0 = j - 5. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaayyyyaaa. Give prob of sequence yyyy.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 9:26 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 40 = 50. What is the lowest common multiple of 10 and s?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2212 (base 3) to base 2.\nAnswer: -1001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ogg when three letters picked without replacement from {x: 3, v: 2, d: 1, o: 4, g: 6, p: 2}.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1606?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 92028595 to the nearest integer?\nAnswer: 9593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 316\/6409?\nAnswer: 316\/6409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*o - 33*o + 28. Let l(c) be the second derivative of 0 + 0*c**o + 22*c + 1\/6*c**3. Calculate l(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18\/24 - (-98)\/(-56). Sort -3, -92, u in increasing order.\nAnswer: -92, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 780*n**2 - 63*n - 339. What is the thousands digit of a(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bhcilbcihlthlhtiic. Give prob of sequence ib.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2630129 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m + 13. Let g be d(-7). Let o(n) = -g*n - n**3 + 8*n - 2*n**2 - 3 + 1. What is the units digit of o(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l + 3*q, -23*q = 3*l - 28*q for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -31, 0.3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 7 = 19. Let h = 1 - 0. What is the second derivative of h - 1 - 539*b**2 + 543*b**a - 7*b wrt b?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -152 + -185?\nAnswer: -317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 61*i - 34. Let f(v) = 36*v - 18. Give 11*f(p) - 6*m(p).\nAnswer: 30*p + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**2 - 312*z + 3973. Calculate b(14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: a (base 12) to base 10\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - 5. Let n = 5286 - 5257. What is the remainder when n is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ngg when three letters picked without replacement from {g: 7, n: 5}.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 266 + -239. Suppose -56*v + r = -53*v. Solve 5 - v = 2*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 9\/276574121?\nAnswer: 9\/276574121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2083, -4117, -6151?\n\"Answer: -2034*x - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 306397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -8. Let g(j) = -j + 1. Determine -6*g(u) - i(u).\nAnswer: 6*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3730 and 60?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, w: 2, f: 2, m: 9, x: 2}. What is prob of picking 1 x and 1 q?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 3*f**5\/7 + 14040*f**4\/7 + 340344*f**3 + 137008992*f**2\/7 + 2637524016*f\/7 = 0?\nAnswer: -4506, -58, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {b: 3, u: 15}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v + 17. Let m be a(-15). Suppose -m*i + 5*y + 0*y + 230 = 0, 4*i - 436 = 4*y. What is the greatest common divisor of 35 and i?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*x - 169. Let p be 3\/(-45)*(x\/(-20) + 0). Which is bigger: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1650?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(88)*1 - 3*sqrt(88)*-1)\/(((2*sqrt(88) + sqrt(88))*2)\/(1*sqrt(1584))).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.4 times 0.11?\nAnswer: -0.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s - 5. Let y(p) be the third derivative of p**4\/24 + p**3 - p**2 - 41*p + 3. Give -2*c(q) - 3*y(q).\nAnswer: q - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 619744916 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of n**3\/3 - n**2\/2 - 2*n. Let q be c(6). Solve -3*g - q = 4 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 133, 268, 403, 538, 673?\n\"Answer: 135*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*b - 354*b - 62*b.\nAnswer: -353*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 111 and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v**3 + 186*v**2 - 1226*v - 121. Calculate f(-68).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4964 + -129d1?\nAnswer: -17555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 3:21 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*b*i*n**3 + 3*b*i*n**2 - 106*b*n**3 + b wrt i.\nAnswer: 9*b*n**3 + 3*b*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**4 - 321*b**3 + 55755*b**2 - 2208675*b + 27268500.\nAnswer: -3*(b - 35)**3*(b + 212)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 632633519 to the nearest integer?\nAnswer: 25152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 8*m**2 - 9*m + 13. Let b be t(10). Let o = 2663 - b. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.392 times -11?\nAnswer: 81.312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 23, 0, 5, 3 in ascending order.\nAnswer: 0, 1, 3, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 9*y - 12. Let b(g) = 11*g - 13. Let v(k) = 5*b(k) - 6*n(k). Determine v(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3464 + 3480. Suppose 39 = 5*a + 9. What is the remainder when b is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 68057 in increasing order.\nAnswer: 0, 3, 68057","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1*sqrt(32)*4 - (5 + sqrt(450)*2 + sqrt(450)).\nAnswer: -61*sqrt(2) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 64 = -38 + 16. What is the remainder when 57 is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11754554 (base 8) to base 10.\nAnswer: 2611564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1051857 is divided by 350278.\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -57 + 63. Suppose -6*z + v + 0 = 0. Solve z = r - 2 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 132*11\/1452*33\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -j + 20, -5 = -j - 0*j + t for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-48)\/(-60))\/(2\/30). Suppose -g = 3*g + s. Let k(q) = -2*q + 3. Let r(p) = p - 2. What is g*r(c) - 2*k(c)?\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13859 is divided by 34?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -253 + 82. Suppose -4*u - 255 = -h, 0 = u + 2*h - 0*h + v. List the prime factors of (-27)\/u - 92\/(-14).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000804132 to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4647700*k*n**3 + k*n**2 + 9*k*n - 2*n**3 + 20*n**2 - 1141*n wrt n?\nAnswer: -27886200*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/33, 0.13, -0.4, 0.5 in ascending order.\nAnswer: -0.4, -2\/33, 0.13, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aqq when three letters picked without replacement from {q: 4, a: 6}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -110111020111 (base 3) in base 4?\nAnswer: -330001120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 + (-86 - 7) + -6 + 6 + (-63 - -1)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -3. Suppose -5*t + n = -0*n - 39, 4*n + c = -t. Let r = -5 - -9. Calculate the lowest common multiple of r and t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -58, 1, -22, -2, 4 in decreasing order.\nAnswer: 4, 1, -2, -22, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7901913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 9*n**3 - 3*n**2 + 18*n - 4. Let y(d) = 9*d**3 - 2*d**2 + 18*d - 3. What is -2*o(p) + 3*y(p)?\nAnswer: 9*p**3 + 18*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - r**2 - r + 2. Suppose -3*q = 4*x + 16, -3*q + 4 = -0*q - x. Let i be h(q). Suppose -3*f + 145 = -i*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -1574*y. Let z(x) = -29*x - 21. Let j(p) = -25*p - 18. Let o(d) = 7*j(d) - 6*z(d). Give o(m(g)).\nAnswer: 1574*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 122 - -324331?\nAnswer: 324453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 88081 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 1803, -9, -6 in decreasing order.\nAnswer: 1803, 1, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16212, 130237, 439922, 1043097, 2037592, 3521237, 5591862?\nAnswer: 8347297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 11) to base 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u - 23. Calculate k(0).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41 - 38. Suppose u - z = 2. Suppose u*m + 0*w = 2*w + 181, 4*m + 2*w - 152 = 0. What are the prime factors of m?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39317987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**2 - 4*g + 4*g + (-4*g + 2*g + 0*g)*(-g + 2*g + 0*g) + g**2 - g**2 - 2*g**2 + 2*g**2 + 0*g**2 - 6*g**2.\nAnswer: -10*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 158359508?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -143 + 98. Let w = s + 47. Suppose -5*h - 2*f + 11 = -w*h, 4*h + 4*f - 12 = 0. Solve 0 = h*d - 1 - 9 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5731562831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -315*n - 721. Let g(y) = -40*y - 90. Let r(o) = 49*g(o) - 6*z(o). Let b be r(-9). Calculate the highest common divisor of 78 and b.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + 1\/(1\/4). Solve -2 = 5*g - r*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 252 = 4*g. Suppose 0 = 3*k + 2*z + g, 0 = k - 0*k + 2*z + 21. Let i = -4 - k. List the prime factors of i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 1\/5 (c) -52\/9 (d) 1.4 (e) 5\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 129248465?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000065828707 rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 12 = w - 2, 5*l - 7 = 4*w. Let q be ((-15)\/(-50)*4)\/(8\/20). Solve -q*m - 1 = u - 2, -w*m = 2 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 7) to base 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1132.622943874 + -0.51\nAnswer: 1132.112943874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1157 divided by 6129\nAnswer: 1157\/6129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, 0, 37\/4, -2\/11 in decreasing order.\nAnswer: 37\/4, 1\/6, 0, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7106 * -0.2.\nAnswer: -1421.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17.42186 + 16.5776. Let b = -82 + 48. Let c = x + b. What is c rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 522 - 1107\/2. Suppose -5*l = 2*a + 90, -2*l + 5*l + 3*a + 63 = 0. Calculate the common denominator of u and (-55)\/l + 1 + 1.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (184 - (-12)\/4)\/1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -123300?\nAnswer: -123300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 219*3\/9 - -4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*x - d, -5*x - 4*d + 81 - 52 = -0*x - d + 48 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 12:38 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 - 13. Suppose -n*y - r + 635 = 4*r, -r + 635 = 5*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 4*x - 21 = -3*x, -5*x = k. Suppose -k*t + g + 22 = -3, 5*g = 0. Solve y - 22 = -t*z, z - 3 = -y - 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 - 1 = -15*n + 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 54067177 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 696a5 (base 14) to base 6\nAnswer: 5255321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3696)\/(-7084) + 304\/(-1288). Let d = 1088 + -620. Which is smaller: d or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 w when three letters picked without replacement from fzffwfzz?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 66422 (base 7) to base 9\nAnswer: 24778","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2\/59, -2350.\nAnswer: -2350, 2\/59, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/37, 27, 2\/3, 2, -8.\nAnswer: -8, -1\/37, 2\/3, 2, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/5)\/((-18)\/120). Let z(l) = -11*l + 39. Give z(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - 0)*(-1 + -18). Is m smaller than 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 2*i**4 - 1 + 189*i**2 - 223*i + i**3 + 223*i as j*i**3 + n*i + r*i**4 + o + p*i**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l. Let h(t) be the third derivative of 643*t**4\/6 - 2696*t**2. Determine h(j(y)).\nAnswer: 2572*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**2 + 3*j**2 - 4*j**2 + 4 - 2*j**2. Let p(a) = 3*a**2 - 17. Let g(x) = 2*p(x) + 9*u(x). What is the first derivative of g(s) wrt s?\nAnswer: -6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6, f: 3, y: 6}. What is prob of sequence yfy?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.092373 to three decimal places.\nAnswer: 0.092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 992 rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 696165298.\nAnswer: 2, 89, 197, 19853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1649 (base 11) to base 9.\nAnswer: -2804","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 5*p**2 - 2*p - 9. Let o be d(-4). Suppose 0 = -5*g + 4*g + o. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23358350 rounded to the nearest one hundred thousand?\nAnswer: -23400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y - y - 5*y + 6*y. Let u(w) = -22*w. What is u(j(k))?\nAnswer: 44*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000455689561 rounded to 7 decimal places?\nAnswer: -0.0000456","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 850 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 244765.6 millennia in centuries?\nAnswer: 2447656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 24 = 5*v, 0 = 206*v - 202*v - 5*b - 39 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 242 + -209. Let z = 47 + -26. What is the remainder when l is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.0032 rounded to one dp?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4*90\/192*((-4)\/(-80)*5)\/5\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6597584 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: Sort -1, -5, 1\/4, 1 in increasing order.\nAnswer: -5, -1, 1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(1\/11)\/(a*a\/a**(-2\/3)*a)*a**3\/a*a*a**3*(a\/a**(3\/5)*a**(2\/19))\/((a\/(a\/((a**(-1\/3)\/a*a)\/a)))\/(a*a\/(a\/a**4*a*a))) assuming a is positive.\nAnswer: a**(22769\/3135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -591 + 592. What is the least common multiple of w and (-162)\/(-21) + (-4)\/(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2\/2 - 9138*j - 18279\/2.\nAnswer: 3*(j - 6093)*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -76460, -305827, -688110, -1223309, -1911424, -2752455, -3746402?\n\"Answer: -76458*u**2 + 7*u - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of j**6\/10 - 17*j**4\/4 + 18*j**3 - 30*j**2 + 570*j. Factor x(u).\nAnswer: 3*(u - 2)**2*(u - 1)*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 8*d**2 + d + 10. Let g be p(-8). Calculate the highest common factor of g and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4358?\nAnswer: 2, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 r when three letters picked without replacement from duuduruuddr?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 587418 by 51.\nAnswer: 11518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.0737 to 1 decimal place.\nAnswer: -9.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 371633, 743238, 1114843, 1486448?\n\"Answer: 371605*r + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/460 and -83\/4480.\nAnswer: 103040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -2*n + 56. Let o be (21\/n)\/(3\/(-22)). Solve 3*z = 5*j - 14 - 9, 5*z - o = -4*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -54, -79, -104, -129?\n\"Answer: -25*j - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 21.9 times -21\nAnswer: -459.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = 2*i + 11, 5*i - 5 = 11*h - 15*h for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c. Suppose -30*u + 18 + 46 = -56. Let m(h) be the third derivative of 0*h**3 - 16*h**2 + 13\/4*h**u + 0*h + 0. Give p(m(o)).\nAnswer: -156*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 55308 and 6.\nAnswer: 55308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 76 + 14 = 0. Calculate the remainder when 24 is divided by 18\/(-4)*(-150)\/h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/5, 2\/19, 6, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**2 - 5*n - 3. Let s be o(4). Let f = 9 - s. Is (-3)\/(-12)*f + 493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 36 - 260?\nAnswer: -228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 14*r**2 + 157*r - 128. Let h be v(-12). Solve 0 = -h*w + 2*a + 10, w - 10*a + 0*a + 26 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*u - 35*u - 4*p = -14572, -10927 = -3*u - 5*p. What are the prime factors of u?\nAnswer: 2, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -4*g**2 + 29*g + 31. Let f(k) = 5*k**2 - 29*k - 31. Let l(y) = -6*c(y) - 5*f(y). Let v be l(-28). Let q(z) = -5*z - 6. Calculate q(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of 1\/4*c**4 + 5*c - 2*c**3 + 0*c**2 + 88 - 7\/5*c**5. Find the third derivative of b(f) wrt f.\nAnswer: -168*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3489 and 9.\nAnswer: 10467","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -75*x - 5. Is t(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 120136?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 5*m + 152 + 118 = 0, 4*u - 206 = 2*m. List 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 nearest to -1\/2 in -0.346, 3, -11, -0.4, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 748 and 3?\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (3 - 1) - -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 4 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 953, 2041, 3147, 4277, 5437, 6633?\nAnswer: 7871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -10. Suppose -3*h = h + l. Let p = -0.07 - 2.93. Which is the nearest to h? (a) 3 (b) 5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.378 - 0.022. Let j be (-1)\/(-3 - (-28)\/16). Sort j, i, 0.\nAnswer: i, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 15879 to the nearest 100.\nAnswer: 15900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 25 = -0*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0231265 + 26.0252265. Let a = v + -26. Round a to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -3. Let u(a) = -a - 1. Let q(s) = -3*s - 5. Let f(z) = m*q(z) + 4*u(z). Let i be f(-8). Calculate the highest common divisor of 9 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 10:27 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1746152884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 24*(188\/90 + -2) + -2. Put i, -1, 2\/5, 2 in decreasing order.\nAnswer: 2, 2\/5, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of c**3\/3 + 4*c**2 + 10*c - 104. Determine l(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 3:04 PM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 135 = -75. Suppose -11*r + t*r - 26752 = 0. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6799 + -5083. Is 39 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-18)\/w**(-3\/10)*w*w*(w\/((w**(-12\/5)\/w)\/w))\/w*w**(1\/10)*w)**(-1\/11) assuming w is positive.\nAnswer: w**(51\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*t**5 - t**5 - 5*t**5 + (-3*t**4 + 0*t**4 + 4*t**4)*(0*t - 3*t + 2*t).\nAnswer: -20*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + 4*j**2 - 5*j - 2. Let p be c(-5). Let y be 2\/(-11 + p + 2). Do 1 and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - 3*h. Let d be v(4). Suppose 4*s = 4 + d. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 4*s**2 - 2*s - 1. Let k(j) = j**3 + j**2 + 3*j + 2. Let l be k(-1). Let w be -7 - -3 - 3\/l. Is 2 a factor of f(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 15422730.\nAnswer: 15422730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-38)\/(-18) + (-6)\/3. Find c, given that -1\/3*c**4 + 0 - 2\/9*c + 1\/9*c**5 + 1\/3*c**2 + y*c**3 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 10, -1, 53, -0.5, 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*o**4*q**2 - 6328067*o**2*q**2 - 2*q**2 - q - 84153184 wrt o.\nAnswer: 8*o**3*q**2 - 12656134*o*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18559.6 - -18560. Put g, -1\/14, -3, 3, -0.4 in decreasing order.\nAnswer: 3, g, -1\/14, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1134 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5496?\nAnswer: 2, 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 5*j**2 + 8*j - 7. Let n be h(6). Suppose 55 = n*u - 20. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 290 and 5000.\nAnswer: 145000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 4*n**2 - n + 3. Determine h(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -36\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 2*q - 52, -118 = -4*r + 5*q + 105. Sort r, 3, -4.\nAnswer: -4, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -3\/2 (c) -215 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(432) + 3 + 2.\nAnswer: 5 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 - 10*c + 9. Let j be k(-11). Let v = 6 + j. Suppose -v*r + 192 = -2*r. What is r rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -0.1 (c) -0.4 (d) -57 (e) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 2*b**2 + 4*b + 1. Let o be l(3). Let u be (-2)\/o - 6\/(-4). Differentiate -k + u + 0 + 0*k wrt k.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300822 is divided by 75202?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 53112 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 5 + (1 - 5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - 13*q + 4. Let v be x(-13). Let s(d) = 4*d**2 - 3*d**2 - v*d**2. Let l(o) = 2 + o - 2. Calculate s(l(b)).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(1\/14))\/(u**(3\/5)\/u))**(9\/10))**41 assuming u is positive.\nAnswer: u**(38007\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a - 5. What is m(-9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + 1142*d - 362860. What is m(259)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2\/7, -1, -6.2041, -1\/5, 5 in ascending order.\nAnswer: -6.2041, -1, -2\/7, -1\/5, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25628620 is divided by 428.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1119372\/77 > -14536?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1\/(y*y**(-12)*y))\/(y**(2\/27)*y**5) assuming y is positive.\nAnswer: y**(160\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 2, -0.4, -25\/7, 351 in decreasing order.\nAnswer: 351, 2, 0.2, -0.4, -25\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of -l**6\/1020 + l**5\/85 + 5*l**4\/68 - 100*l**3\/51 + 268*l**2. What is m in u(m) = 0?\nAnswer: -4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, q: 3, s: 3, f: 4, i: 3}. What is prob of picking 1 s and 1 y?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does -6\/58763 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -184\/3833 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2249229 - -2?\nAnswer: 2249231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/((4\/(-10))\/((-8)\/(-30)))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r = 331 - 295. Solve -12 - r = -4*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 3*n = -0*n + 12, -4*n = 3*j + 16. Suppose 4*r - 3*b - 22 - 5 = j, -r + 5*b = -11. Suppose f - 2*f = -r. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 2\/7 (c) 3 (d) 5 (e) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/7, -28\/5, 537.178 in descending order.\nAnswer: 537.178, -6\/7, -28\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4 + 0.28. Let v = f - 0.28. What is the smallest value in v, -1\/4, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -24, 3*b - 284*g + 287*g = 7218. Does 38 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27.09209 + -0.05609. Let x = 27 - l. What is x rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*t - 10*t + 1586 - 1476 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*6\/28*6*(-6)\/189.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 1 + (-4 + 5 - 2)*(-6 + 5 + 2))*(-3*z**3 - 16 + 16) in the form d*z**3 + g + m*z + a*z**2 and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 160052216 to the power of 1\/2, to the nearest integer?\nAnswer: 12651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 (base 11) in base 16?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 7:01 PM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18571 by 379.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 429*m + 2*h = 426*m + 50, -26*h + 650 = -m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24\/7*w - 6\/7*w**2 + 0 + 3\/7*w**3.\nAnswer: 3*w*(w - 4)*(w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196*s + 7140*s**2 + 399*s - 203*s + 3779*s**2.\nAnswer: 10919*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + 15*p - 49. Let q be f(9). Solve -2*r = -q*r + 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2235816 and -0.05?\nAnswer: -0.01117908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(3) + sqrt(147)))**2 + 1.\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of 50*i**2 - 5\/3*i**3 + 105 + 105*i. Factor k(s).\nAnswer: -5*(s - 21)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -917*g + 200*g - 3795 - 5862 = -1053 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 7:29 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t**2 - t**2 + 4*t**2)*(1 + 1777*t + 1875*t - 1 - 4017*t) to the form u*t + i*t**3 + p + v*t**2 and give i.\nAnswer: -730","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 7*b**2 + 8*b + 7. Calculate t(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13558939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 4*w - 9*w + 20, -2 = -4*v - 2*w. Let r be (2\/5)\/(v\/5). What are the prime factors of (13\/r)\/(8\/(-16))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2203496 - -8?\nAnswer: 2203504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 4414.\nAnswer: 30898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 1 = -2*i + 17, -3 = 4*x + 3*i for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 10*y + 4. Let l be (((-6)\/(-4))\/1 - 3)*-6. Let n be u(l). Put -3, -4, n, 3 in increasing order.\nAnswer: n, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -5*h - 5. Let t be l(-2). Solve -t*c + 3*c = -4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = g - 18, 7*g - 6 + 35 = 3*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mggcgcgycucccucc. Give prob of sequence yucc.\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 385 and 3570?\nAnswer: 39270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 11*h**2 + 9*h + 49. What is the hundreds digit of m(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156627406.7 rounded to the nearest 10000?\nAnswer: 156630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 19*s**2 - 21*s - 18. Let h be g(-20). Let u be (-1)\/(-2)*(h + 0). Solve -3*r = -4 + u for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.4483 + 0.4483. Which is the nearest to -25? (a) -1\/4 (b) -25 (c) r (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -661*x**2 + 6514*x**2 - 139*x**2 to l + r*x + s*x**2 and give s.\nAnswer: 5714","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1152, 2319, 3518, 4767, 6084, 7487, 8994, 10623?\n\"Answer: 3*j**3 - 2*j**2 + 1152*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1064\/(-140))\/(63\/(21735\/(-46))).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of f**6\/420 - 2*f**5\/21 + 37*f**4\/84 - 6*f**3\/7 + 439*f**2. Factor k(r).\nAnswer: 2*(r - 18)*(r - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4201411 (base 5) to base 7\nAnswer: 405053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 62 + -42. Suppose -2*k = 4 - 2, 3*w - 4*k = 34. Let f = r - w. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 171\/(-76)*2\/18.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 9 = -2*r. Let k(b) = b**3 + 5*b**2 + 4*b - 1. Let i be k(r). What is the common denominator of 11\/(i + -9 + 2) and -56\/11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 816*u - 13996. What is v(17)?\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4*p**3 - 3*p**2 - 6*p - 16. Let t be k(-4). Let g = 371 - t. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one quarters of a litre in millilitres?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10906?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/30)\/(1\/(-4)). Let l be (2\/4)\/(1 - 0). Put q, l, 2 in increasing order.\nAnswer: q, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 7560.\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xjjjxjjxxx. What is prob of picking 2 x?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus 9213748272?\nAnswer: -9213748271.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 52 - 54. What are the prime factors of (-9 - -195)*(-1)\/u?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175)*1 + 3 - sqrt(175))*-4*5)**2.\nAnswer: 3600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-14) - (-4760008)\/(-14). What is t rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*u**2 + 4*u**2 + u**2)*(2*u**2 + 3*u**2 - 2*u**2)*(1 - 2 + 0).\nAnswer: -33*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 0. Suppose 3*c + 21 = 75. Let x be c\/(-3) - (l - 1). Put 4, x, 2 in ascending order.\nAnswer: x, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 28 + 25)*(s + 0*s - 2*s).\nAnswer: -59*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 3*w**2 + 2*w - 3. Let f be n(2). Let t be (3 + f + 1)\/(-3). Which is the third smallest value? (a) t (b) -1\/2 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 95*q**2 + 4*q - 12. Let i(d) = -381*d**2 - 17*d + 52. Calculate -6*i(p) - 26*u(p).\nAnswer: -184*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 130246 to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -318 to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, y: 1, f: 1, k: 1, l: 2, j: 1}. What is prob of sequence kfl?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, j: 4, v: 2}. Give prob of sequence jjj.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 17793 (base 11) in base 13?\nAnswer: b44c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25 - 20) + 21 + -30 + -19?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 + 22. What is the tens digit of (x + -4)*(-72)\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7 - -2*(-3)\/(-2). Let l be (a + -6)*(742 - -1). Let c = -26777\/9 + l. Calculate the common denominator of 13 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*t = 51 + 37. Suppose -16*b = -44 - t. What is the remainder when 8 is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0196431529 rounded to 3 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/45*162735\/571?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00181975 to four dps.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-1)\/5)\/(28*(-35)\/112700)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 413529 is divided by 32.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 311.4 - 311. Let g = 33.7 - 6.2. Let b = 28 - g. What is the nearest to b in o, -1, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 176.1552us?\nAnswer: 0.00000293592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + 5*g + 6. Let d be y(5). Suppose -4*l - 2*z + d = -24, 3*l - 5*z = 16. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 6*q - 2. Suppose -10 = k - 6*k. What are the prime factors of h(k)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c - 3*s, 4*c + c - 2*s + 3 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of 0*l**3 + 7*l**2 + 0*l + 0 - 1\/240*l**5 + 11\/960*l**6 + 0*l**4 - 1\/105*l**7 + 1\/384*l**8. Suppose p(g) = 0. Calculate g.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(648))\/(5*sqrt(24)\/sqrt(4))*-2.\nAnswer: -12*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 494 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 162*b**4\/17 + 2426*b**3\/17 - 15288*b**2\/17 + 19816*b\/17 - 480\/17 = 0.\nAnswer: -20, 2\/81, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -120221 (base 4) in base 11?\nAnswer: -1204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15496 - 26741136.53.\nAnswer: -26756632.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-27083)\/(-42) - 1*(-5)\/30. What is the greatest common divisor of 375 and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27050 + 27718. Calculate the remainder when 2011 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cq when two letters picked without replacement from crqqryr?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 271 - 213. Suppose 127 + d = t + 4*g, -4*t + 695 = g. What is the remainder when t is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v + 6 = -2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33.127 - -0.127. Let g = 731322659.00000308 - 731322626. Let u = l + g. What is u rounded to 7 decimal places?\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (-1 - -6) + (39 - 21 - -41).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 284 and 340374?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 223408 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 4*x. Let d(h) = -12*h**2. Calculate d(v(i)).\nAnswer: -192*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 37625 and 12688?\nAnswer: 477386000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6\/(-8)*(-4)\/3 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5143, -9455, -13767, -18079, -22391, -26703?\n\"Answer: -4312*v - 831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 2*b + 9. Let k be d(3). Let r be 40\/6 - 20\/30. Solve -2*w - k = -r*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294452 is divided by 48986?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2530 and 2530?\nAnswer: 2530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3 = -3. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 12:10 PM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -3903770.\nAnswer: -1951885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**20*i)\/(i\/i**11))**(-33))**(-5\/4) assuming i is positive.\nAnswer: i**(5115\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6503 + 811.82?\nAnswer: -5691.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 6:18 AM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a + 1. Let u be o(-2). Let m(v) = v**2 - 2*v - 2. Let p be m(3). What is the units digit of (8 - 6) + u\/p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i + i + i)*(1 - 3 + 1) - 3*i - i + 3*i - 2*i + 3*i + i + 160 - 160 - 2*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4063357\/1430727802 - -11\/154273. Calculate the common denominator of -33\/14 and j.\nAnswer: 64918","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 + 2*c. Let u be b(2). Let a(g) = -g**2 + g + 3. Let f(n) = -n. Let x(z) = -a(z) - 3*f(z). Is x(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -61389*m*n**3*q**2 + m*n**3 + 42*m - 178*q**2 with respect to n.\nAnswer: -184167*m*n**2*q**2 + 3*m*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*p**2 + 7008 - 79*p**2 - 2910*p**3 - 7008 + 41*p**2.\nAnswer: -2910*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35 + -52. Let j be 0 + -3 + (-55)\/h. Is -0.1 at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 509974.\nAnswer: 2\/254987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -27184627479 less than 0.0454?\nAnswer: 27184627479.0454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/240 and -19\/390.\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36601206*c**3 + c**2 - 34*c - 3661 wrt c.\nAnswer: -219607236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -752 minus -3?\nAnswer: -749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence srs when three letters picked without replacement from rrrrsssgssr?\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/9, 2\/3, -1\/4, 0.4, 62, -1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**1*i)**31*(i**(1\/4))**21 assuming i is positive.\nAnswer: i**(145\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 33*r. Suppose -4*y - 21 + 25 = 0. What are the prime factors of s(y)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 282, 337, 394, 453, 514, 577?\nAnswer: 642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1938 or -1937?\nAnswer: -1938","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -8164380 to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c. Let d(m) = -105*m + 2. Suppose -38*b + 10 = -36*b. Let z(o) = -106*o + 3. Let j(v) = b*d(v) - 4*z(v). What is j(t(i))?\nAnswer: 101*i - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of 0*k**4 - 147*k**2 + 1\/1260*k**7 + 1\/360*k**5 + 0 + 0*k**3 + 1\/360*k**6 + 0*k. Factor f(a).\nAnswer: a**2*(a + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-74\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 4) to base 3\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*t + 255 = -53*t for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of -15*h**7\/49 + 92*h**6\/105 - 2*h**5\/35 + 5002*h. Factor y(d).\nAnswer: -2*d**3*(d - 2)*(45*d - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*z - 3*z - 24. Suppose 4*m + z = 14. Suppose -m*o + 24 = o + 3*d, -2*o = -4*d - 16. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1959179852 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p**5 + 41*p**4 - 2*p**3 - 24*p**2 + p + 2. Let f(j) = j**4 + j**3 - j - 1. Let t(h) = 2*f(h) + o(h). What is the third derivative of t(d) wrt d?\nAnswer: 180*d**2 + 1032*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 2 = 5*h. Let r be 1 + h + 9\/3. Find the second derivative of 2*q - q - 2*q**2 - r*q + q wrt q.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of 2635*g**4\/4 - 46*g**3\/3 + 3*g**2 - 162. What is the third derivative of s(j) wrt j?\nAnswer: 15810","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 370 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 285 a factor of 16831981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/25*1*50\/8*(-150)\/(-125).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 5*b + 20, 5*t + 3*b - 9 = 11. Suppose 0 = g - 9 + 2. Let c be (t - g)\/(8\/(-2)). What is the third biggest value in -0.1, c, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -3*i**5\/2 - 476*i**4 - 66135*i**3\/2 + 743481*i**2 - 3910032*i + 2286144 = 0.\nAnswer: -168, 2\/3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 164037 and 4104.\nAnswer: 224402616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17\/611 - -153446\/3055. Let t = p + -50. Let l = 2 - 6. Sort l, t, -5 in decreasing order.\nAnswer: t, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 45*q**2 - 177*q - 46. Determine w(-41).\nAnswer: 487","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 64\/(-36)*-3*(-153)\/(-12). Suppose q*a - 73*a + 5815 = 0. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cn when two letters picked without replacement from {i: 1, x: 7, c: 1, k: 4, n: 4}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 + 23. Suppose 7*d - c*d = 132. What are the prime factors of d?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 + (6 - -1 - -1). List the prime factors of (q\/(-8)*17)\/((-4)\/112).\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3971*a + 79 - 79.\nAnswer: -3971*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 21\/8 of a tonne?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2*o**2 + 1)*((2*o - 3*o - o)*(3 + 0 - 1) - 2*o - 3*o + 6*o - o - o + 4*o)*(-169 + 5 - 25) in the form g*o + r*o**2 + k*o**3 + p and give k.\nAnswer: 378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -122667 - -174078. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + o + 16*o**3 - 14*o**3 + 0*o - 5 in the form h*o + m*o**2 + t + d*o**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1582 - 1128. Suppose -13 = 7*d - y. Calculate the remainder when d is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - -3 - -31) + 18 + -8.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6295.75 centuries in years?\nAnswer: 629575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 4*h - 4081, -h + 621 = -4*v - 2627. Sort -4, v, -8 in increasing order.\nAnswer: v, -8, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2 + 2*q - 4*q + q. Let p be (2\/3)\/(40\/(-420)). What is the units digit of n(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nnyyynyyynnyyynynnnn.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11.298 + -13.298. What is the smallest value in -4\/7, -0.126, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 0*g**2 + 360 - 360 - 12*g**2. Let t(l) = 5*l. Let k(f) = 14*f. Let x(q) = -6*k(q) + 17*t(q). Calculate x(w(r)).\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**2\/13 + 14*w\/13 - 12\/13 = 0. What is w?\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 0.2, 0, 292?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -17847.2 and -7697.\nAnswer: -25544.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (10 + -4) - (113 + 18 + -2 + -5)?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.260309117 rounded to two decimal places?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 28\/(-16) - 40515\/(-148). What is the greatest common divisor of q and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -1\/82 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times 175?\nAnswer: 1400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3 + 2 + (sqrt(55) + (sqrt(440)\/sqrt(72) - sqrt(55)))\/sqrt(5) + (sqrt(2673) + 2*sqrt(2673) - sqrt(33))\/sqrt(3)).\nAnswer: -4 + 316*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.126 plus 0.032543?\nAnswer: -0.093457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of -n**5\/60 - n**4\/2 - 13*n**3\/6 + 4*n**2. What is the remainder when 27 is divided by r(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vy when two letters picked without replacement from {v: 6, z: 6, j: 3, t: 3, y: 2}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 s when four letters picked without replacement from misrrrrsrsmismmi?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s - 3. Let n be i(-3). Let d(v) = -1 - 4 - 8*v - v**2 - n + 0*v**2. Let a be d(-6). Solve -4*x - 2*j + a = -2, 0 = -x - 3*j - 11 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*s - 41. Calculate the least common multiple of 1 and 4\/s - (-333)\/63.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128) - (sqrt(128) - (sqrt(128) - -6*sqrt(128)*-2))**2.\nAnswer: -18432 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -18\/11*s**3 - 784\/11 + 626\/11*s**2 - 308*s = 0. Calculate s.\nAnswer: -2\/9, 7, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(45)\/(sqrt(27)\/(sqrt(3)*1)))**2*-3.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 314*h. Let z(b) = 799*b**2. Give z(s(t)).\nAnswer: 78778204*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 12*g**2 - 4*g - 30. Let c be o(10). Let k = c - 120. Solve -4*r - 36 = -4*p, 4*r + k = -2*p - r for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**3 + 5*c**2 + 4*c + 24. Let o be h(-3). Solve o*n = -4 + 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(4\/3)\/u*u*u**(-9)\/u*u*u*u)\/(u**(1\/25)\/u**(-11)))**(1\/28))**17 assuming u is positive.\nAnswer: u**(-3043\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 16 = 5*c, 3*k + 14 = -0*c + c. Suppose 2366 = b - 5*y, 5*b - c*y - 11852 = -2*y. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8159521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -184\/745 < 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of 3*p + 1\/12*p**4 + 0 + 3\/2*p**2 + 5\/3*p**3. Let u be h(-10). Solve -9 - u = -3*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + -7)*(0 + -3). Suppose -108 = 6*m + f. Let p = m + 20. Sort -5, 5, p in ascending order.\nAnswer: -5, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 o, and 1 i when three letters picked without replacement from {p: 1, u: 1, o: 1, i: 1, k: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f - 11*f - 8*f + 5*f.\nAnswer: -18*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -1784286*f**3\/13 - 489804*f**2\/13 + 5656*f\/13 - 16\/13 = 0.\nAnswer: -2\/7, 2\/357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.8 - -0.4. Suppose 2*g = 2, -449*z + 2*g = -444*z - 3. What is the nearest to -0.1 in 0.04, z, y?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 3*k + 29 = 0, 703 = 29*z + 14*k + 166 - 56 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eleven quarters of a kilometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(2\/70*-1). Let z be (0\/(-18 + 8))\/(-3). Let l = z - h. What is l rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 104681, 209546, 314411?\n\"Answer: 104865*j - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r, 1 c, and 1 b when four letters picked without replacement from {w: 3, a: 1, c: 1, b: 3, r: 3}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011010101010011001000 (base 2) to base 13.\nAnswer: 1085a04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 3, -1\/2, 0.3, 393?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 28, 95, 270, 607, 1160?\n\"Answer: 9*b**3 + 4*b + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirty-two fifths of a milligram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 589 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 5*i + 11 = 3*i, 5*i + 30 = 5*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -79780.3037 - -79784. Let f = 189.1137 + z. Let c = -194 + f. What is c rounded to one decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -1. Let b be 4\/10 + (-129)\/(-215). Calculate the highest common factor of b and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-22)\/(-66))\/((-2)\/(-12)). Solve 5*b - 22 = -2*r - h, -r + 7 = b for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12\/23 - -8\/161. Suppose -4*t + 3*t - 10 = 0. Let i be t\/(-25) - 18\/70. Put i, v, -4 in descending order.\nAnswer: v, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15690305337 plus 0.4?\nAnswer: 15690305337.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from llfllllfwlllllfll?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -28b?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.04, -395, 263 in decreasing order.\nAnswer: 263, -0.04, -395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - d - 2 = -m, 5*m + 8 = 4*d. Which is the third smallest value? (a) 4 (b) d (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -409 - 299 = -252*r + 300 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/4 - 71*a**2\/4 - 12919*a - 12901.\nAnswer: (a - 266)*(a + 1)*(a + 194)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004563398 to seven decimal places.\nAnswer: -0.0000456","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 1\/5, -3, 2\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -257 - -174. Let t = -314936 + 314852.99696. Let q = x - t. What is q rounded to four decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -361663 by 74.\nAnswer: -361663\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.3, 0.3, 0, -582?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2188.\nAnswer: 2, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 - 19 = b. Let k(g) = 2*g**2 + g - 42. Let h be k(-4). List the prime factors of b + ((-4)\/h - (-27)\/(-21)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2369 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2469 and 1092?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(-1))\/(-1) + (-12258)\/12519. Let o = q + -113947\/61204. Calculate the common denominator of -125\/18 and o.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 908504985.\nAnswer: 3, 5, 827, 73237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.15 and -1565.128.\nAnswer: -1564.978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**4 - 3*b + 3*b + 3*b**4 + b**4 - b**4 + (-2*b - 1 + 1)*(3*b**3 - 4*b**3 + 0*b**3) - 862*b**2 + 862*b**2 - 4*b**4.\nAnswer: -b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 167 + -176.9. Let x = c - -8.46. Let u = 2.17 + x. Round u to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 49*f - 24. Let j be v(13). Suppose 3*c - j = 5681. Suppose 4*r + c = 6*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*x, -4*h + 3*h + 2239 = -x. What are the prime factors of h?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -5*y - 39. Let u(q) = -4*q - 34. Let b(h) = -3*a(h) + 4*u(h). Determine b(-23).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 11:50 AM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 0.08 (c) -2\/9 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*2*sqrt(2268)*2)\/((-3*sqrt(54)\/sqrt(2))\/(sqrt(300)*-2 - sqrt(300))))**2.\nAnswer: 10080000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0228 + 425.0228. Let g = 423 - p. Which is the closest to g? (a) -3 (b) 1\/2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 25*q**3 - 226*q**2 + 197*q + 30. Calculate m(1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -49434804 + 2\nAnswer: -49434802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 144, 4939 in descending order.\nAnswer: 4939, 144, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -100 + 63. Let y = -915 + 878.3. Let g = x - y. Which is the second smallest value? (a) 7 (b) -1\/3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5328 divided by 144\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - 0. Calculate the remainder when f is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-3)*((-4)\/(-1))\/4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*c + 2*c + 2*c)*((0 + 3 + 0)*(-143*c - 120*c + 9*c) - c - 6 + 3 + 2) to the form o + u*c**2 + j*c and give u.\nAnswer: 763","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of 1\/12*z**4 - 3\/2*z**2 + 1\/2*z**3 + 0 + 3*z. What is the tens digit of c(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (6 - (2 + 6 + -2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -3*x + 10\/3*x**3 - 1\/4*x**4 - 11\/2*x**2 + 17. Is h(8) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 4:10 PM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (490\/63 + -8)\/(2\/(-18)). Solve 0 = v + 4 - t for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - -9. Let y be (2\/(-5))\/(s\/10). Let v = 5 - 4. Which is the smallest value? (a) 2\/7 (b) y (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g - 17 = -24 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -42174*f + 126598. What is o(3)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-308)\/84)\/(3\/(-9))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 193, 197, 203, 211?\n\"Answer: g**2 + g + 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5956 - -125285\/21. Which is greater: 11 or o?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421.5478mg in nanograms?\nAnswer: 421547800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = 7*c - 2*z, -4*c + 4*z = 2778 - 2750 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*f + 25*f - 6. Suppose 2*s + 10 = 0, -z - 4*s - 25 + 8 = 0. Let g = 0 - -2. Solve 28 = f*x + 5*n, -g*x + 2*n = z*x - 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 20 = -0*p. Suppose 0 = 2*z + p*s - 2 + 19, 2*s = -2*z - 2. Solve -2*c + z*c + 3*d + 22 = 0, 4*c - 5*d = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (4 + -4 + -6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = 2*z - 68, -3*n - 29*z - 107*z = -15*z + 79 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10579 minus -0.3?\nAnswer: 10579.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 10651 (base 8) to base 15\nAnswer: 1516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164386.\nAnswer: 2, 82193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 43 + 23 = 0. What is the lowest common multiple of (-1424)\/(-72) + z\/18 and 2 - (0 + (-6 - -2))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 98*t**2 + 74*t + 2267. Let w be v(97). Solve -39*j + w*j = -12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51\/7, 1, -0.3, 0.3, -4, -0.06 in decreasing order.\nAnswer: 51\/7, 1, 0.3, -0.06, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*i*q*y**3 + 232279*i*q*y**2 - 2*i*q + 199*i*y**3 + 234*q*y**3 - 2*q*y**2 - y**3 wrt y.\nAnswer: 12*i*q + 1194*i + 1404*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 + -11010?\nAnswer: -10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 7*g**2 - 3*g**2 - g**2 + 3*g**2. Let y(l) = l**2. Calculate y(k(i)).\nAnswer: 36*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1942267 to the power of 1\/3, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*l = 774, l - 77 = -u - 342. Let z = u - -1609. Suppose -8*a + 11*a = z. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 4*n**2 - 4*n. Suppose 0 = -3*m - 1 - 8. Let b = m + 7. Suppose -15 = b*d + 5. Give t(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 13\/4 of a kilometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 2. Let s = z + -4. Suppose 13*u = 14*u - s. Calculate the smallest common multiple of u and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120 and 480?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 207\/8 + -637\/24. Which is the nearest to 0.2? (a) -6\/7 (b) -109 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242*u - 200 + 422 - 1567 = 2527 for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 18\/5 of a milligram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 10*l**2 + 11*l - 12. Let x be (-4 + 0)*(141\/12 - 8). Let h be (5 - (-170)\/(-25))\/(3\/x). Determine i(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + 1 - (-6 + 5)) + 106 + -110.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 839694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.56 + 1.267.\nAnswer: 3.827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and -0.186907.\nAnswer: 2.813093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**3 + 36*p**2 + 65*p + 34. Let l be m(-16). What is the closest to l in 0.07, 4, -0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-8)*a**19)\/(a**(1\/7)*a**16) assuming a is positive.\nAnswer: a**(-36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -182*j**2 - j. Let p(g) = 509*g. Determine p(r(k)).\nAnswer: -92638*k**2 - 509*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q + 9*q + 14*q + 11*q + 12*q - 48*q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, -4, -22 in increasing order.\nAnswer: -40, -22, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -56432, -56164, -55896?\n\"Answer: 268*z - 56700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2523, 2521, 2519, 2517, 2515?\nAnswer: 2513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n**3 - 2*n**2 - 378*n + 765. Determine g(2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -61 - -37. Let i = 43 + m. What are the prime factors of i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16076 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**3 + 13*y**3 - 3*y**3 + (-y + 1 - 1)*(0*y**2 + 2*y + 3*y**2 - y**2).\nAnswer: 7*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-7) - (-11175)\/35. Suppose -k - 4*k - 20 = 0, -5*i - k = g. Let t = -35 - i. What is the remainder when t is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -15, 3*h = 2*r - 3 + 10 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12513317.\nAnswer: 12513317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x + 58*x - 312 = 0 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1121231 (base 9) to base 11\nAnswer: -383214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30 - 28. Let u = -20 + -10. Let m be (-1)\/3 + (-14)\/u. Which is the third smallest value? (a) 0.5 (b) m (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 13*a - 3. Let i(m) = 36*m - 9. Let l(c) = -6*i(c) + 17*j(c). Determine l(4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2596 - -2598. Factor 0*p + 3\/4*p**l + 0.\nAnswer: 3*p**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6864 + -6859. Let s(j) be the first derivative of 4\/5*j**g + 2\/3*j**6 - 23 + 0*j**2 + 0*j - 4\/3*j**3 - j**4. Determine r, given that s(r) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + g - 5*g - 3 = 0, 0 = -5*z + 2*g + 7. Suppose 4 = 2*r + 4*i, -3*r - i - z = -2*i. Let o(k) = k**2 - 2*k + 115. Is o(r) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 263*f - 8999. Calculate r(33).\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 160 and 383260?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 13. Let b(d) = 121*d - 11011. Determine 6*b(t) + 5082*f(t).\nAnswer: 726*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 4*m**2 + 3*m + 3. Calculate l(-5).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.8799996 + -0.88. Round c to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*k + 241 - 353 = 592 for k.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -121 - -124. Solve z*v - 4 = 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 - 12 + b + 25 + 19 in the form m + a*b and give m.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2*v + 22 = 0, 3*b - 5*v = 50 - 16. Sort b, -1, 0, 1 in increasing order.\nAnswer: -1, 0, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*m**2 + 2*m**3 - 5*m**2)*(-2 + 1 + 2) + 18 - 18 + 16*m**3)*(-5*m**2 + 7*m**2 + 5*m**2).\nAnswer: 126*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -25*b + 269. What is y(13)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 87*h**2 - 259*h - 545. Determine i(-84).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -12 + 975\/51 + -7. Which is the nearest to -0.2? (a) 4 (b) -18 (c) 10 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 3:51 PM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 13*r**2 + 5*r - 1. Let g(c) = 5759*c**3 + 26*c**2 - 11*c - 1596. Let p(k) = -g(k) - 2*y(k). What is the second derivative of p(f) wrt f?\nAnswer: -34566*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26 - -5) + -38 + (22 + 5 - -3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2c10 (base 13) to base 16.\nAnswer: 1923","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.61215*-0.0428\nAnswer: 0.02620002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.49045 + -0.15345. Let n = v + 0.063. Let z = n + -20. What is z rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -2\/369, 40, 317?\nAnswer: -2\/369","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5, -2, -9?\n\"Answer: -7*z + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1114 - -1090.3. Is 4\/5 less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.7, -4, -4\/347, 3\/7, -0.01 in descending order.\nAnswer: 3\/7, -0.01, -4\/347, -0.7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -4) + -14 - -6 - 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32692 is divided by 38.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/528*((-10)\/(-5) - (-266)\/(-57)).\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 6*s**2 + 7*s + 5. Suppose 5*d = -5*x + 45, 0 = 2*d + 4*x - 20. Calculate the lowest common multiple of d and j(-7).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 334826741 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**2)**28)**49)**(-3\/2) assuming t is positive.\nAnswer: t**(-6174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 742 - -3150. What is the greatest common factor of 139 and a?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + (-3 + (2 - 0))*-11. Suppose -h*d = -d - 96. What is the remainder when 35 is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(-495 - -2) + 23\/(276\/60). What is the closest to 0 in 2, y, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1636 - 13091\/8. What is the third biggest value in 2\/19, -0.9, -5, x, 0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14639500 to the nearest 10000.\nAnswer: 14640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 7*x**2 + 2*x - 5. Let g(d) = d**3 - 7*d**2 + d - 4. Let p(t) = 6*g(t) - 5*j(t). Is p(9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9436557 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/12 in -0.0309, -0.1, -235?\nAnswer: -0.0309","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -0.3318, 3, -1, 5\/3, 3\/7, -11?\nAnswer: -0.3318","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -2063742 and -2063830 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.15 + -0.05. Let k = f + -4.1. Let m = 0.1 + 0.9. Which is the third smallest value? (a) 3 (b) m (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((sqrt(99) + 4*sqrt(99) - sqrt(99))\/sqrt(11) + (sqrt(9) - sqrt(324)*4))\/(2*(sqrt(243) + (sqrt(243)*-3 + sqrt(243))*-6 - sqrt(243))))**2.\nAnswer: 47017\/15552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*s - 8*s. Suppose -20 = 5*x, 0*r = 2*r - s*x - 108. Let t be 55\/22*-6 + 31. Calculate the highest common divisor of r and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 14909449\nAnswer: 2\/14909449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 0.4, -2\/7.\nAnswer: -2\/7, 1\/5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p + 5. Calculate the remainder when b(12) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 3*z - 48 = 0, 2*y + 2*y - 52 = -4*z. Calculate the highest common divisor of y and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179067947 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 3*g - 2. Let t be ((-4)\/(-2) - -1) + g. Suppose -a + 0 - 20 = -4*y, -t*y + 32 = 2*a. What is the least common multiple of y and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/(sqrt(9)*1) + sqrt(10))\/sqrt(2).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/17 (b) -0.5185 (c) -6 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u + 19*u - 8555 = -2*m, -u + 2*m + 1699 = 0. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/6)*l**41*(l**35)**(7\/2) assuming l is positive.\nAnswer: l**(490\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-17\/4))**(-37)*m\/(m*m**(4\/25)*m)*m*m\/(m\/(m\/m**(-5\/8))) assuming m is positive.\nAnswer: m**(-38557\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*k - 27*k - 5*o - 15, -4*o - 21 = -5*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j**2 - 195*j - 620. Give m(68).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r**4 + 305*r**4 + 83*r**4)*(-7 - 5 - 2).\nAnswer: -5488*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -58.714 and 142529.\nAnswer: 142470.286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1488690 and 111384?\nAnswer: 2142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3186181?\nAnswer: 37, 86113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in three fifths of a millennium?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-28)\/((-84)\/12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 665*h - 32 = 667*h. Let z(f) = -f**3 - 17*f**2 - 12*f + 64. Let c be z(h). Solve 2*d - 29 = 5*x, -d + 2*x - 6*x - 18 = c for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 330322, 660574, 990826?\n\"Answer: 330252*i + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-18)*n**(1\/3))**(-1\/6) assuming n is positive.\nAnswer: n**(53\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1546203?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a microgram in nanograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2403682, -4807350, -7211002, -9614632, -12018234, -14421802, -16825330?\n\"Answer: r**3 + 2*r**2 - 2403681*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -38 and 0.04013578 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(3\/19)*b\/b**14)**(-21\/2) assuming b is positive.\nAnswer: b**(4851\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*s**2*w**2 + 102*s**2*w*x + 3*s**2*w - 2*s*w**2*x + 45*w**2 wrt x?\nAnswer: 102*s**2*w - 2*s*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -6. Suppose -5 = -3*q + 5*d, -5*d + d = o*q - 60. Let s = q + -2. Calculate the remainder when 15 is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + 9. Let o = -9 + 33. What is the units digit of z\/((-105)\/o) - (-2)\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.344006 and -40.\nAnswer: -93.76024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/2*(3 + -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5964, 4, 48, -2 in increasing order.\nAnswer: -5964, -2, 4, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5186006, -5186004, -5186002, -5186000, -5185998?\n\"Answer: 2*l - 5186008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 115858079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -51200*(-2*145)\/((-56)\/14). Round x to the nearest 100000.\nAnswer: -3700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -4. Let k be 3*(16\/6 + g). What is the derivative of 2*r**3 - 5 + 0 + k wrt r?\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4afd1 + -3?\nAnswer: 4afce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 45 - 6)*(9*a**4 - 33*a**4 - 25*a**4).\nAnswer: -1372*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 14 = b, -b + 8 - 4 = g. Let i(o) = 3*o + 2. Let x be i(-3). Let q = x + 10. What is the nearest to b in -1, q, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 9, -4 in descending order.\nAnswer: 9, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 207162 by -207162.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 592 and 1036.\nAnswer: 4144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - 8*i - 12*i)*(1 + 2 + 3 + (2 + 3 - 7)*(5 - 4 - 3)).\nAnswer: -210*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 64*c + 28*c**4 - 310*c**2 - 336 - 26*c**3 + 196*c**2 + 40*c + 344 = 0.\nAnswer: -2, -1\/14, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 y when three letters picked without replacement from {b: 5, w: 4, i: 2, y: 2}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 - -8.9.\nAnswer: -47.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*z = 2. Let j(s) be the first derivative of 4*s**3\/3 - s**2 - s - 64. Determine j(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -535 less than -538?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 50348, 100689, 151016, 201323, 251604, 301853, 352064, 402231?\n\"Answer: -g**3 - g**2 + 50351*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -38*o + 339 - 109 + 226 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40170076 by -1762.\nAnswer: -22798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 550843?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 44486 and -4?\nAnswer: 44490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73070*o**2 - 73070*o**2 - 31*o**3 - 37*o**3 + 128*o**3 - 23*o**3 - 35*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/11 (b) 0 (c) -0.3 (d) -2 (e) 4 (f) 1\/3 (g) -335\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6445040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h + 6 = 2*h - 2*u, u = 2*h - 8 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 164821565 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 20, 32, 32, 14, -28, -100, -208, -358?\n\"Answer: -y**3 + 19*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6613\/18 - -367. Let t = 1\/18 + g. Sort t, -1, 3\/4 in decreasing order.\nAnswer: 3\/4, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-2) - (186\/620)\/((-3)\/(-5)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 2*l - 18, 2*m + 30 = 7*m + 5*l. Calculate the remainder when 24 is divided by 10 - 2\/(5 - m).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1*70\/4)\/(1\/2). Let w = a - 33. Solve -2*u = 3*i + 9, 3*i + w + 7 = -5*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 330607*q**5 + 3*q**2 - 6308146*q?\nAnswer: 6612140*q**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + q**2 - 15 + 4 - 6*q + 3 + 7*q + q**3 - 14*q**4 in the form l*q**3 + k*q + a + v*q**2 + x*q**4 and give x.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.8 - 1.1. Let z = -77 + 81.7. Let x = g - z. Which is the third smallest value? (a) -3 (b) x (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxxx when four letters picked without replacement from {x: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-182*h**2 + 182*h**2 - 6*h**3)*(-1 + 3 - 1) to the form m*h**3 + k*h + r + p*h**2 and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29371241, -29371246, -29371259, -29371280, -29371309?\nAnswer: -29371346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 34 - 10. Suppose 3*c + d = 20. Suppose 30299999 = -m + c*m + l, -4*m - l + 40399999 = 0. Round m to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8775600 rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a - 51 - 9 = 0 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4409 - 4791 = -260*j + 60*j for j.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {z: 9, k: 11}?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 - -0.4. Let p = -32.7 - 9.3. Let k = 51 + p. Sort c, k, -3 in ascending order.\nAnswer: -3, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15 - 3544010353?\nAnswer: -3544010412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*t - 12 = 5*p, -3*t - 11 = 2*p. Let l = 4 + p. Let a(s) = s**3 - 6*s**2 + 2*s - 3. List the prime factors of a(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 2*h - 4 = 0, 5*h = -4*f + 3*h - 18 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 - 1\/2*-6. Suppose -j - 4 = -p. What is the highest common factor of j and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(392))\/sqrt(7) - (-1*sqrt(2016) - sqrt(56)))\/(sqrt(8) + (sqrt(64) - (sqrt(64) + -1*sqrt(64)))\/sqrt(8) + sqrt(1152)*3).\nAnswer: 2*sqrt(7)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 18.093908 days?\nAnswer: 2.584844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*g = 69*g + 4284. What is the greatest common divisor of 289 and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183534913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -131*d**2 - 3*d - 2. Let z be 1 - 6*4\/8. Let o be n(z). Is -3 - ((0 - 0) + o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000048097 to six dps.\nAnswer: 0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005672126 rounded to six dps?\nAnswer: 0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2793 and 1.7.\nAnswer: -2791.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 4, 49 in decreasing order.\nAnswer: 49, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - -16. Suppose -5*d - q + 102 = 0. Suppose -2*r + d = 2*r. Solve -10 - 6 = r*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 180, 1404, 4736, 11232, 21948?\nAnswer: 37940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 63*r - 61*r. Suppose 4*x = -x + 2*t + 16, 22 = 4*x + r*t. Let o be 3\/(9\/12) - 3. Put 2, x, o in increasing order.\nAnswer: o, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -0.078?\nAnswer: 0.0312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/42 - -31\/21. What is the closest to 1 in g, 2\/7, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2329343 rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**2 - 19*s - 115. Give j(-6).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g = 12*g + 28. What is the common denominator of 0 + (-1)\/((-5)\/33) and ((-99)\/g)\/(114\/133)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171*p - 16 = 170*p. Calculate the remainder when 27 is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1680?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - 1) + (-9012)\/72. Let y = 265\/2 + w. Let -8\/3*h - 1\/3 - y*h**2 = 0. Calculate h.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 181031252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*i + 2)*(2*i**3 + 0*i + 0*i) + i**4 + 8*i**3 - 8*i**3.\nAnswer: -3*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 364 + 4 = 0. Suppose -15*k + l = -30. Solve 0 = k*v - 6*v - 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2991\/209370*(-7)\/(-2).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 18, -7\/542, -13\/70?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of -17*c**4\/6 - c**2\/2 + 28*c. Find the first derivative of d(y) wrt y.\nAnswer: -68*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -7*u**3\/6 + u**2\/2 - u. Let x be o(-3). Let d = -16 + x. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rdrdfkrrfkerdrrggrrd. What is prob of picking 1 r and 1 e?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 149, 4, 10, -4 in decreasing order.\nAnswer: 149, 10, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.18 and -13706827.\nAnswer: 2467228.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1301 + -371. Suppose y + y - z = -3*h, 4*h - 1226 = 2*y. Calculate the greatest common divisor of 28 and h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -0 + 2. Let o = 4.5 - 5. Let t = 308\/453 + -2\/151. What is the closest to k in o, 1, t?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/1 + (-4)\/4. Let q = -5 - v. Factor -2\/7*u**3 + 2\/7 - 2\/7*u**q + 2\/7*u.\nAnswer: -2*(u - 1)*(u + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 3 (c) 102 (d) -3441\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -21*i - 1. Let c(u) = -3*u**2 + 3*u - 4. Let p(y) = y**2 - y + 1. Let j(g) = 2*c(g) + 7*p(g). Let f be j(0). What is the tens digit of q(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 51*g**2 + 87*g - 541. What is v(-49)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from ccccccococcocc?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 4*j + 1 - 7 - 2*j. Let d be o(4). Let z be 33\/99 + (-4 - (-10)\/6). Put z, d, -7 in decreasing order.\nAnswer: d, z, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 6*h = -3*u - 19, -5*u = -5*h + 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, x: 7, p: 1, n: 8}. What is prob of picking 2 x?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-6))\/((6 + -4)\/(-6))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*x = -38*x - 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 11*t**2 - t + 1. Let s be (3 + -2)*(5 + -1). Suppose 2*c - 6 = -2*x + s*c, -c = 2. Determine b(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 7*t - 91. Let y be f(14). Let g be (-2)\/((y - 1)\/12). Let w(j) = -j**3 - 4*j**2 + j - 2. Determine w(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 35 = 5*n, 4 = 4*n + z - 12. Find the first derivative of 220*u**3 - 240*u**3 + 239*u**n + 4*u - 249 - 4*u wrt u.\nAnswer: 657*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.889 less than 0.45407?\nAnswer: 1.34307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00273756372 to 7 decimal places.\nAnswer: 0.0027376","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/9 or -28429201\/7?\nAnswer: -28429201\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 243*j**2 + 3164*j + 5406. Determine x(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1194.5 to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b + 8*b - 8 = 14*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 5*k**2 - 2*k + 14. Let s be g(5). Let h = 12 + -7. Put s, h, -25 in decreasing order.\nAnswer: h, s, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2525 is divided by 1166.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2\/5)\/(k*k**5*k*k)*((k\/(k\/k**1))\/k)\/(k\/k**1*k) assuming k is positive.\nAnswer: k**(-47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 57288 and 105?\nAnswer: 286440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**3 - 3*c + 3. Let n(j) be the first derivative of -5*j**4\/4 - 4*j**2 + 8*j - 1. Suppose 18 = i + 5*i. Calculate i*n(w) - 8*q(w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -51 - h**2 - 99*h**3 + 101*h**3 - 12*h - 55 - h**2 + 14*h in the form x*h**3 + d*h**2 + s + l*h and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31321731 + 15955*v + 31321731 + 0*v - 2*v + 0*v + (v + 3*v - 2*v)*(-4 + 3 - 1) to m + u*v and give u.\nAnswer: 15949","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d\/d**2)*d*((d*d**(-2\/17)*d)\/d*d*d)\/d)\/(d**(-6\/5)*d*d*d*d*d**(-1\/8)) assuming d is positive.\nAnswer: d**(2181\/680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120047328 divided by -6.\nAnswer: -20007888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 420*u - 160593. What is k(383)?\nAnswer: 267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 o, and 2 k when four letters picked without replacement from ykotkoeyko?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1))**(-26\/3)\/((n*n**(-1\/3))\/(n*n**(2\/9))) assuming n is positive.\nAnswer: n**(83\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 382102481 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggdgggggggggggggg. Give prob of sequence ggd.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 + -16. Suppose 0*g = 3*g + 3*o + f, -9 = -5*g + 3*o. Let k = 3 + g. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9053*r + 924 = -9137*r for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 10 = 5*i - 8*a, 0 = -5*i + 4*a + 7. Let n be -29000 - (-2 + (1 - i)). What is n rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -214749 by -3.\nAnswer: 71583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of -4*z**5\/5 - z**4\/4 - 7*z**3\/6 - 2*z**2 - 14*z + 206. What is j(-2)?\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1086, 2164, 3232, 4278, 5290, 6256, 7164, 8002?\n\"Answer: -2*s**3 + 7*s**2 + 1071*s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 67594 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 355*g - 2268 = 166*g for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -90 (base 11) to base 2\nAnswer: -1100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-5) + (-121)\/55. Put c, -2\/23, -0.2 in ascending order.\nAnswer: c, -0.2, -2\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -367.2 + 367. Sort -1\/4, w, -1, -5 in decreasing order.\nAnswer: w, -1\/4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-3 + (1 + sqrt(304))*-2) + 0)**2.\nAnswer: 320*sqrt(19) + 4964","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92096?\nAnswer: 2, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.20766 to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 501346 to the power of 1\/2, to the nearest integer?\nAnswer: 708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 93*y**4 - 47*y**3 + 8946*y?\nAnswer: 1116*y**2 - 282*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 43, 88, 171, 304, 499, 768, 1123?\nAnswer: 1576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yj when two letters picked without replacement from {y: 4, g: 1, k: 4, d: 2, j: 1, l: 2}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -230442 or -10830760\/47?\nAnswer: -230442","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*a**2 + 370*a - 2400 = 0. What is a?\nAnswer: -80, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 1455*x**2 - 171837*x\/2 + 8673\/2 = 0. Calculate x.\nAnswer: 49\/970, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 bigger than 9135113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-6)\/(b\/b**(-1\/5)))\/(b**(1\/3)*b*b*b**4\/b)*(b**(-1))**40*b**2*b\/(b\/(b\/(b\/(b\/(((b*b*b*b*b**(-4\/5)*b)\/b)\/b)))*b*b*b))*b assuming b is positive.\nAnswer: b**(-716\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 78*d + 317. Let m be g(0). Solve 10*l - 357 = -m for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.304 and -11962.\nAnswer: 3636.448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8718136, -34872552, -78463248, -139490224, -217953480?\n\"Answer: -8718140*u**2 + 4*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.5, 0.5, -14.4, -2\/11, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2129 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4864357238.\nAnswer: 2, 13, 19, 131, 75167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -145571*k**3*z**3 + 10*k**3*z**2 - 188*k**2 - 2*k*z**2 wrt z.\nAnswer: -873426*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q*q**(-2\/13)*q**(-1\/14)*q**12*(((q*(q**(2\/33)\/q)\/q)\/q)\/q)\/q assuming q is positive.\nAnswer: q**(59071\/6006)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*l**4 + 103*l**4 - 369*l**4 + 26244 - 3150*l**3 - 746*l + 21870*l**2 - 41536*l.\nAnswer: -2*(l + 18)*(5*l - 9)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28560 by 102.\nAnswer: -280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -15*k**3 + 21*k**2 + 18*k = 0.\nAnswer: -3\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, s: 5, z: 1, f: 7, l: 1}. Give prob of picking 1 z and 1 l.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -7*o**3 - o**2 + o - 2. Let a(m) = 68*m**3 + 15*m**2 - 3*m + 6. Determine -a(h) - 3*z(h).\nAnswer: -47*h**3 - 12*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*s + 214*s + 30*s to the form g + f*s and give f.\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -2*j + 5*b + 3, 4*j + 17 = b for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-36)*8\/6.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oum when three letters picked without replacement from cuuuoocvoocimuo?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k + 3*k**2 - 3*k**2 + k**2 + (-4*k - k + 6*k)*(-3*k + 4*k + 0*k) - 1 + k**2 + 1 - 2*k**2 + k**2 + 4*k**2.\nAnswer: 6*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206534?\nAnswer: 2, 37, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 6*g - 13 = 2, 4760*p + 10*g - 12*g = 4761*p - 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13487?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14\/9? (a) 3 (b) 1.5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-4))\/t)**31\/(((t*t*t**(-7)*t*t)\/t)\/(t*t*t**(-1\/2)*t)) assuming t is positive.\nAnswer: t**(-235\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, -88.35, -1\/3 in descending order.\nAnswer: -1\/3, -43, -88.35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ru when two letters picked without replacement from {u: 11, r: 1, x: 6}?\nAnswer: 11\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 654 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ini when three letters picked without replacement from iziqyyzyvzzn.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 10, 0 in descending order.\nAnswer: 10, 0, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - ((-108)\/42 + (-9)\/21). Find the second derivative of -34*j**h - 11 + 75*j**3 + j**4 + 7*j - 46*j**3 wrt j.\nAnswer: 12*j**2 - 30*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -7*b + 3023865. Let n(p) = -p**2. What is y(n(o))?\nAnswer: 7*o**2 + 3023865","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -4*f + r, 7*f - 31*r + 16*r + 13*r = 16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - f - 4*f + 88 = 0, 3*s - f - 85 = 0. Suppose 47*c = 12*c - 39*c. Solve c = -6*l - s - 3 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2978, 5 in descending order.\nAnswer: 5, -5, -2978","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45321 is divided by 1101.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -5*f + 108. Let i be 0 + -2 + f - 0. Suppose 3*n - 5*j - 348 = 0, -4*n - 22*j = -19*j - 522. What is the highest common divisor of i and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-490)\/672 + (-2 - 16\/(-6))*1\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/202*38\/57. Is 0 <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 83 + -3?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13334, 13503, 13800, 14237, 14826, 15579, 16508, 17625?\nAnswer: 18942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -61*x + 80. Let l = 31 + -23. Let a(k) = -110 + 5 + 41*k + 52. Let y(n) = l*a(n) + 5*b(n). Find the first derivative of y(p) wrt p.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -1\/8, -3561?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-2 + -2) - -6 - 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -6*j - 26. What is the units digit of w(-17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*u**3 + 273100*u**2 - 61*u**3 - 73*u**3 - 273100*u**2 + 203*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3*v - 8 = 0. Let g be 8 - 47 - (v - 1). Which is the second biggest value? (a) 3\/4 (b) g (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/25 of a microgram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 13*w**2 - 36*w - 36. Let b(c) = -8*c**2 + 24*c + 24. Let s(u) = -8*b(u) - 5*t(u). Calculate s(-9).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 309442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 2*n + 25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11.32751 from 13014.\nAnswer: 13002.67249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-49)\/14*(427\/49 + -7).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**3 + 0*k**3 + 9*k - 13*k)*(-2 + 16 + 7).\nAnswer: -21*k**3 - 84*k","meta":{"dup_signals":{},"source":"polynomials__expand_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: What are the prime factors of 7668?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j + 4299 + 3135 = 0. Let q = j + 145496\/137. Which is smaller: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -149502, -298987, -448470, -597951, -747430, -896907, -1046382?\nAnswer: -1195855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - 17\/(-3))*3. Suppose 21 = 12*m - 3. Solve 1 = m*z + j for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 3. Suppose -3*j - z*j = 0. Suppose 4*x = -2*g + 74, -2*x - 5*g + 22 + 19 = j. What is the lowest common multiple of 12 and x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*h + 24 + 366. Solve -h = -2*x - 37 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 + -25. Suppose 57 = -m*u + 153. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21\/2 + -117\/10. What is the nearest to -1 in 0, h, -0.18?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 5*q + 3*x, 5*q + x = -9 - 7 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46 + y - 61 - 22 + 30 + 2*y**2 + 3.\nAnswer: 2*y**2 + y - 96","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 129489 + 13199 = 4*a, -2*h - 3*a = -116297. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 21, -10 in descending order.\nAnswer: 21, 5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 2034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v**4\/6 + 37595*v**3\/6 + 88997465*v**2\/6 + 22546389735*v\/2 - 11288034045 = 0. Calculate v.\nAnswer: -3686, -1917, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31354 + -13893. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 12. Let g(u) = 3*u + 10 + 3 - f. What is g(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**(-1\/2))**(3\/16))**38)**(-2\/19))**(-3) assuming r is positive.\nAnswer: r**(-9\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o + 49. Determine b(-24).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -45*b**2*n - 23*b**2 - 217041*b*n + 6717649*b - 2*n - 2 wrt n?\nAnswer: -45*b**2 - 217041*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**3 + 2*n**3 + 6*n**3 + (-3*n + 3*n - 2*n**2)*(n + n - n) + 2*n**2 - 2*n**2 - 2*n**3 + 35*n**3 + 3*n - 3*n.\nAnswer: 42*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3350 + 390 = -80*b for b.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 4*f - 25. Suppose 0*b + f*b = 5*k + 10, -4*k - 3*b + 27 = 0. Solve 0*n + 12 = k*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 213032 + 10?\nAnswer: 213042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - -1. Let f = 4637.2 - 4640.2. Which is the biggest value? (a) f (b) t (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -113\/63 + 11\/7. Let w = 7 - 8. Let x be w*(-1)\/26*4. What is the second biggest value in 2, x, n?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j - 8999 = -1887. Is j a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by 2\/7 - ((-3264)\/(-56))\/(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 - 13. Let c be (9\/(-84))\/(2\/l). What is the nearest to 0 in c, -2\/15, -1\/4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -23 (b) 4 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 4) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 1064*c**2 - 10395*c + 1391. Determine m(-10).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2762250*v**5 - 1190457*v**2 + 1?\nAnswer: 165735000*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (0 - 2) - 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -5*f + 5, -3*x - 1 = 5*f - 6. Solve 0 = -4*i - 5*c - 3, -4*c + 3*c - f = i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 1. Suppose 11*t - 3 = 8*t. Let w(f) = 14*f**3 + 2*f**2 - 4*f + 12. Let z(v) = t*w(v) + 12*d(v). Factor z(c).\nAnswer: 2*c*(c - 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 832634008?\nAnswer: 2, 503, 206917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y. Suppose 0 = -2*p - 4*r + 5 + 3, 0 = r. Let h(z) = -3*z. Give p*x(q) + h(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(((-3)\/(-2))\/3). Suppose -5*x = -x + k. Let n = -31\/3 - -11. Which is the closest to n? (a) 0.3 (b) x (c) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 163633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*m - m + 16*m)*(-2*m + 3 + 4 - 8) to the form r*m + f + h*m**2 and give r.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - 6 - 2608\/(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*x**2 - 3*x**2 + 0*x**2)*((-3 + 3 + 2)*(4 - 6 + 0) + 5 + 8 - 17) to the form m + t*x + o*x**2 and give o.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 0) + (-34 - (-2 - (-6 + 0)))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.03 minus 1.7054?\nAnswer: 23.3246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, b: 3, m: 2, g: 2}. Give prob of picking 2 g and 2 o.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 125817 and 6477.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -6 + 237*c**2 - 456*c**2 + 4*c + 3*c + 220*c**2. Let b = -10 - -5. Calculate o(b).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**4\/5 + 14640*o**3 + 2634228*o**2\/5 + 23705136*o\/5 = 0 for o.\nAnswer: -73164, -18, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 8 = a - 3*b, 0 = -a + b. What is the second derivative of 4*j + a*j**2 + 0*j**2 + 2*j**5 - 2*j**2 wrt j?\nAnswer: 40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*d + 4 = 0, v + 5*d - 14 = 2*v. Let l be 100\/25 - -1*16. Let r be l\/(-25)*20\/24. What is the nearest to -1 in r, v, 0.6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 4*i**2 + 58 + 66 - 121. Let x(h) = 9*h**2 + 6. Determine 2*x(c) - 5*z(c).\nAnswer: -2*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 14989337433\nAnswer: -14989337433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -173\/30 and 53\/45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 5*x + 5. Let u be p(4). Let c = u + 6. Let s(l) = l**3 + 4*l**2 - l - 1. Calculate the remainder when c is divided by s(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 158121?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 516 = -4*x - 486, -15 = -5*x - 2*w for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 10.7. Sort 4\/17, -2, f, 5.\nAnswer: -2, f, 4\/17, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 4*z**2 + 23755*z - 142842. Calculate m(6).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-3))\/((-15)\/2655). What is the greatest common factor of n and 2183?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 735236, 735183, 735036, 734747, 734268, 733551?\n\"Answer: -8*r**3 + r**2 + 735243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m. Let h be r(-1). Let x(f) = -8*f**h - 3 - 5 + f**3 + 9*f + 4. What are the prime factors of x(7)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 58*k*q**2*x**3 - 7*k*q**2 - 105*k + 7*x**3 with respect to q.\nAnswer: 116*k*q*x**3 - 14*k*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2*w - 7 = 0. Suppose -4*p = -w*p + 12. Suppose 241 = p*r - 359. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11\/2? (a) 0.3 (b) -14\/5 (c) -4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*c**3*r**2 + 38*c**3*r + 2*c**2*r + 19*c*r**2 + 3*c*r - 2*r wrt c?\nAnswer: -30*c*r**2 + 228*c*r + 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 41145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -4*o - 2, 0 = -9*o + 4*o - 3*l - 1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5161 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 236 = -4*s - 69, 2*s - 56 = 4*c. Let m = 42 - s. Solve -b + 10 = 3*y, 2*b - 13 = b - m*y for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -2\/7, -2\/13, 6 in ascending order.\nAnswer: -2\/7, -2\/13, 0.2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dj when two letters picked without replacement from {v: 1, m: 1, d: 4, l: 7, w: 4, j: 2}.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + k**2 + k**2 - k**2 - 1. Let p(w) = -2*w**3 + 4*w**2 - 13*w + 2. Let z(n) = -p(n) - 3*u(n). What is the tens digit of z(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 340*j - 2722. Determine f(7).\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t + 11. Let d be y(8). Let i = -4 - -31. Suppose 3*o - z = i, d*o + z = o + 13. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000180585 rounded to seven dps?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4800 by 15.\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 160694701507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -986, -5, -973.\nAnswer: -986, -973, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + 4*c - 32. Let q be f(-11). Let z = -5 - -4. Let r(a) = -9*a. Let m be r(z). What is the greatest common factor of m and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 4*c**3 + 5*c + 5. Suppose 4*l + 4*j = 0, 3*j + 121 = l + 101. Let s(p) = 12*p**3 + 14*p + 14. What is l*s(n) - 14*g(n)?\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -839300 divided by -119900.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 6*t - 12. Calculate r(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 394952451?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of z**5\/10 - z**3\/2 - z**2. Differentiate y(h) wrt h.\nAnswer: 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457286.1um in millimeters?\nAnswer: 457.2861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9967668 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.29 - 1.71. Which is the nearest to 2? (a) d (b) 0.5 (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5129533797?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -3*v + 1, -3 = -2*p + 2*v - 1. Solve 4*k - 3*g + 12 = -p, 0 = 5*k + 3*g + 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of -y**6\/30 - y**4\/6 - 5*y**3\/6 + y**2. Let a(c) be the first derivative of c**4\/4 + c**2\/2 + c - 2100. What is 5*a(r) + w(r)?\nAnswer: r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v + 64*v**2 + 6*v + 2*v**3 - 6*v + v to the form g*v**2 + w + s*v + o*v**3 and give g.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99, 195, 291, 387, 483?\nAnswer: 579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11450 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*29\/(-870)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(w - 7*w + 4*w) + 2*w - 5*w + 2*w - 138 - 3*w + w + 112.\nAnswer: -5*w - 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 8:32 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 114 and 28691786?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -768, -1535, -2302, -3069, -3836?\nAnswer: -4603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i + 3. Let x be k(-6). Let o(q) = -q**2 - 2*q + 2. Let p(m) be the second derivative of m**4\/6 + m**3 - 5*m**2\/2 + 3*m. Calculate x*p(n) - 8*o(n).\nAnswer: 2*n**2 - 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 4*p. Let k(y) = 37*y**2 + 2922*y. Determine k(b(g)).\nAnswer: 592*g**2 + 11688*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1612 - 786?\nAnswer: -2398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 3*((-2*sqrt(187)*-6 + sqrt(187) - sqrt(187))\/((sqrt(11) + sqrt(33)\/sqrt(3))*1) + -5) + 2)**2.\nAnswer: -468*sqrt(17) + 5677","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12 - -88816c?\nAnswer: 88817e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 9, -0.2, 12, 0.07, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, 1\/4, -331\/5, -4, -0.2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.119 - 10.881. Which is the third smallest value? (a) p (b) 0.3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-194)\/(-485))\/(8\/10).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 509274368 to the nearest integer?\nAnswer: 799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 5*w**2 - w + 1. Let o be n(2). Find the third derivative of 238*v**2 + 6*v**5 + v**3 + o*v - 478*v**2 + 239*v**2 wrt v.\nAnswer: 360*v**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of c**7\/105 - 43*c**6\/40 - c**4\/8 - 4*c**3\/3 - 16*c**2 + 14. What is the second derivative of l(j) wrt j?\nAnswer: 24*j**2 - 774*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 13*f + 5*f - 8 = 0, 4*f = -4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -424a5 (base 13) to base 3\nAnswer: -20001212001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 5*a - 20294 - 9320, -3*a + 17784 = -2*f. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1640 + 1640.3. Let z be (-1)\/(-11)*-1*2. Which is the second biggest value? (a) 1 (b) 5 (c) z (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16 and -0.21487.\nAnswer: 3.43792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-13)\/(s\/s**(1\/3))*(s**(-13))**(-28))**(-1\/35) assuming s is positive.\nAnswer: s**(-1051\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/9)\/(2\/(-6)). Is 6\/203 at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-15) - -2)\/((-4)\/(-10)). Suppose -7 = -j - 4*k, 4*j + 5*k = v + 11. Solve 3*b - 7*b - 18 = -z, 0 = j*z + 2*b + 16 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/31)*w*w**(-8))\/((w\/(w**(-28)*w))\/(w\/(w*w**(1\/8)))) assuming w is positive.\nAnswer: w**(-8703\/248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.195684691004 plus 3.2?\nAnswer: 3.395684691004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121847.\nAnswer: 11, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1095 - 1090. What is the biggest value in v, 12, 2\/7, 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -125 at most -123?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 355928 is divided by 392.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1755)\/260 + (-3)\/(-4). Suppose -g = -2*d + 7, -4*g + 3*d - 6*d = -27. Let t = g - m. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 75*w + 1630. Let l be x(-21). Calculate the highest common factor of l and 16115.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 4*b - 4 = 0, -5*b + 3 = 13. Let a = 5 + q. Let l(h) = -3 + 3 - a*h**2 + 2*h**2. Let m(g) = -4*g**2. Give l(m(f)).\nAnswer: -32*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8 or 28291\/4181?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57101?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6209 divided by 23.\nAnswer: 6209\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/((-5880)\/(-90)))\/(1\/((-14)\/(-9))).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -543420 (base 7) to base 16.\nAnswer: -1729e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7660 divided by 1532.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(-5) + 1 + -2. Solve -4*w - 16 = -u*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 0*x = -20*x - 18 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5062 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 135880 to the power of 1\/2, to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -972 + 981. Which is the biggest value? (a) 0.4 (b) -1\/63 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 2:12 PM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from ttttttttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -6.3. Let v = -2.835 - -2.935. What is the nearest to -1 in v, y, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of 61*f**4\/12 - 2*f**2 - 53. Let r(n) = -n. What is b(r(q))?\nAnswer: -122*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 35403 + 2366?\nAnswer: 37771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -4*a**3 - 10*a**2 - 22*a - 17. Calculate w(-3).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 4*d**2 + d + 2. Let c be w(3). Let g(v) = v**3 + 6*v**2 + 4*v - 5. Let m be g(c). Suppose -6*l - m = -119. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11181841?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/7)\/u*u)\/u**(-1\/2)*u**2*(u**(-2\/15)\/u)\/u assuming u is positive.\nAnswer: u**(17\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16412564 (base 7) to base 4.\nAnswer: -12012220223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 449 is divided by 90?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 10 + -2 + -9. Let k(o) be the first derivative of -o**4\/4 - o**3 - o**2 + o + 1. Determine k(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, 0.5, 5, -18\/7, -40.9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -38218 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 43511021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21863907.\nAnswer: 3, 13, 186871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.7891202 litres?\nAnswer: 789.1202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 347? (a) 10471 (b) -3\/5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/18 and -41\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16 + -14 + 34\/14 and ((-140)\/(-150) + -1)\/((-30)\/(-2655)).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1932*c + 1562*c - 4134*c to j*c + f and give j.\nAnswer: -640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (10 - 4) - (-7 + 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2)*(-23*y**3 - 5022*y + 2576*y**3 + 5021*y) to the form p + j*y + z*y**3 + u*y**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 4836 + 836 = 0. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 111111000110010?\nAnswer: 111111000110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1\/6, 1, 29\/3604 in ascending order.\nAnswer: -1\/6, 29\/3604, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l**4\/2 + 1756191*l**3\/4 - 175617*l**2\/4 - 175619*l\/2 = 0. What is l?\nAnswer: -2\/5, 0, 1\/2, 175619","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -u**6\/360 + u**5\/120 + u**4\/12 - 2*u**2. Let i(r) be the second derivative of d(r). Calculate i(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 317567765 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1047\/30 - 2\/5. Let i = b + -33. Let t = 0.32 + -0.42. What is the closest to t in 4, -7, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 256 and 224.\nAnswer: 1792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a year in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4 - 0.1. Let p = -2251847\/79611 - 1\/11373. Let z = p + 2164\/77. Which is the nearest to 0.1? (a) g (b) z (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58775054 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 greater than or equal to 1329?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 938*h**5 + 7*h**3 - 1439*h**2. Let i(x) = -938*x**5 - 6*x**3 + 1440*x**2. Let z(w) = -7*i(w) - 6*k(w). What is the third derivative of z(b) wrt b?\nAnswer: 56280*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 3*a = 5*h - 26, 28 - 3 = 105*a - 110*a for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -8.92. Let u = -0.080003 - s. What is u rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1154 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 9*q**2 - 7*q - 1. Let c be s(-8). Suppose -391 - c = -5*x. Suppose 9 = -3*o + x. Is o a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 288, 1232, 2802, 4998, 7820, 11268?\n\"Answer: 313*c**2 + 5*c - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.47669454 to two dps.\nAnswer: -1.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of 31*n**6\/6 - n**4\/4 - 400*n**3 - 1012. Find the third derivative of u(z) wrt z.\nAnswer: 1860*z**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/2 (b) -4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2478620413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 + 2*z**2 - 2*z**2)*((-2 - 2 + 6)*(2 + 0 - 4) + 6 - 8 + 16)*(z + 0*z + z).\nAnswer: -40*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6127, -12164, -18145, -24034, -29795, -35392, -40789, -45950?\n\"Answer: 6*c**3 - 8*c**2 - 6055*c - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 126 - 118 = 0. Suppose -3*t = 33 - 138. Let o = t - 19. What is the remainder when j is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4313 + 3887. Round h to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + 4*r + 8. Let b be d(-4). Let o(w) = -w**2 + 9*w - 4. Let v be o(b). Let l = 411\/4 + -103. Is v at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -303037, -303079, -303121, -303163, -303205, -303247?\nAnswer: -303289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pznnnzzppzzzznznnn. Give prob of picking 1 p and 2 z.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**2 - n. Let w(t) = -8*t**2 + 6*t - 31. Calculate -5*h(z) - w(z).\nAnswer: -2*z**2 - z + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + k**2 - k**2)*((4 - 1 - 1)*(4 - 4 + k) - 3*k + 2*k + 0*k)*(4*k + 0*k + k).\nAnswer: -5*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 82*o**3 + 842*o - 289 - 431 - 275 + 539 - o**4 - 467*o**2 = 0.\nAnswer: 1, 2, 3, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13.482 + -13. Let w = 2.352 - h. What is w rounded to one decimal place?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.113 - 147.887. Let m = x + 58. Let p = m + 93. What is the nearest to 2 in -2\/41, p, 0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1781536 is divided by 330?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -283674.3+-5544\nAnswer: -289218.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - 30\/5)\/((-6)\/1284) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/2*(-6)\/14)\/(55059\/(-807532)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -44999\/85120 - -1\/12160. Is -2 at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68962095.\nAnswer: 3, 5, 67, 89, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccekdekqcceegk. Give prob of sequence kg.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 3) to base 4.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1348801591?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8616809 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(-2\/5)*p**(-13)*(p**(3\/22))**(-5\/11) assuming p is positive.\nAnswer: p**(-15079\/1210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - 4*r - r + (0*r + r + r)*(0 + 1 - 3))*(0*r + 0*r + r).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*l = -22*l + 65*l - 36 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 113072 by 8.\nAnswer: 14134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 27 = -5*l, -22*o + 3*l = -25*o + 27 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of 2*r**7\/63 + 14*r**6\/45 + 2*r**5\/3 - 2*r**4 - 6*r**3 + 18*r**2 - 6*r. Factor k(t).\nAnswer: 4*(t - 1)**2*(t + 3)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43175 and 5775.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 150?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2\/7)\/m**(5\/4)*m\/((m*m**(-4))\/m)*(m\/m**5)\/m assuming m is positive.\nAnswer: m**(-43\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 3:12 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11550 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -11. Suppose 0 = 3*v - m*a - 92, a + 0*a - 5 = 0. Suppose -26 = 2*t - 78. Calculate the highest common divisor of v and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (4*(sqrt(117)*-1 + -1 + -2) - (-2 + sqrt(117)*1 + 3)*5))**2.\nAnswer: 810*sqrt(13) + 9702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 5*h = -47, -h = -3216023*o + 3216026*o - 3 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h*h**(2\/9)*h)*h)**(-2\/63))**28 assuming h is positive.\nAnswer: h**(88\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -21032 (base 4) in base 16?\nAnswer: -24e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + w**2 + w + 2. Let t be q(-1). Let a = 2\/43121 + -6636\/43121. What is the second smallest value in a, t, 37?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2 = -5*z, 0 - 2 = -b - 3*z. What is the highest common factor of 10 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 32 and -1506.\nAnswer: -48192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 179155627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23917365?\nAnswer: 3, 5, 531497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -287585, -1150324, -2588229, -4601306, -7189561?\nAnswer: -10353000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 178*k**2 - 2290*k - 188. Let l(p) = -36*p**2 + 458*p + 38. Let t(i) = -16*l(i) - 3*v(i). Factor t(u).\nAnswer: 2*(u - 11)*(21*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(784)*-5*1*3)\/((2*sqrt(448))\/(sqrt(64)*2)).\nAnswer: -60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 0, 6, 3, -3 in decreasing order.\nAnswer: 12, 6, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 7847*y + 15688. Calculate i(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 198 and 117?\nAnswer: 2574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**4\/5 - 2776*j**3\/5 + 88724*j**2 + 2681280*j + 2592000 = 0. What is j?\nAnswer: -25, -1, 360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/5)\/(r\/(((r**(-2)*r)\/r)\/r)))\/(r**(-1)\/(r*r*r\/r**(1\/13)*r)))**(-3\/28) assuming r is positive.\nAnswer: r**(-129\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(-49) - 18\/((-22932)\/(-742))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ugugguguuuuougugug. Give prob of sequence uu.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2804469.\nAnswer: 3, 547, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 265 = -0*x - 2*x, -4*x - 2*t + 590 = 0. Let q = x - 141. Solve -s = -3*s + q for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16945092 times -0.07?\nAnswer: 1186156.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*f**2 - 80*f**2 - 56 - 4*f**2 - 6*f**2 + 114 as g*f**2 + t*f + v and give g.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 13 = o - 0*y, -3*o + 6 = 3*y. Let c = o - -1. Let k(w) = w**2 + w + 1. Calculate k(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 - 0.2. Let k = 238\/5 + -47. Let r = 0 + -0.4. Which is the smallest value? (a) r (b) k (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24.304 - 0.304. Let g = -21 + p. What is the fourth smallest value in -2\/15, g, -1\/3, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54.21287m to nanometers.\nAnswer: 54212870000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 85 - (-19 - ((7 - -5) + -19 + (4 - 6)))?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-324)\/(-36) + (-4 - 2). Suppose -2*w - 50 = n - 185, -4*n = -w + 54. Calculate the common denominator of (1376\/w)\/8 + d*-1 and -7\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10323123131 (base 4) to base 5.\nAnswer: 312320442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/8 (b) 103 (c) -2 (d) 1\/161\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 73\/3 of a hour?\nAnswer: 87600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 29027.34?\nAnswer: -145136.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 11545464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ji when two letters picked without replacement from {b: 1, v: 1, r: 1, j: 1, i: 2, n: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 5, 40, 4 in increasing order.\nAnswer: 4, 5, 12, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/2 - 96595*r\/2 + 1304397.\nAnswer: -(r - 27)*(r + 96622)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1195534 rounded to the nearest 10000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4181?\nAnswer: 37, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 5*q**2. Let x be w(-5). Let u be 12\/6 + 10 + x. Suppose -13*f + 34 = -u*f. What is the highest common factor of 85 and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -515 = -3*f - p, 4*f = 3*p + 2*p + 655. Let h = f - 91. Is 10 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9850*d**2\/11 + 610944*d\/11 + 15128\/11.\nAnswer: 2*(d + 62)*(4925*d + 122)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 11) in base 5?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z - 1. Let i be w(2). Let a = 1 - 0. Sort a, 2, i in descending order.\nAnswer: 2, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5*t + 12 = 0. Suppose 0*o + 6*o + t*o = 0. Sort o, 5, -4 in increasing order.\nAnswer: -4, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(((s\/(s\/s**(2\/31)))\/s)\/s))*s*(s\/s**3)\/s*s)**(-2\/119) assuming s is positive.\nAnswer: s**(26\/527)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*q + 16*q = -18*q + 1880 for q.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (1 + 5 - -9)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-100)\/672)\/(-5))\/((-385)\/(-693))*(-42)\/36?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 34*i + 3. Let g be r(1). Suppose -2*b + g = -25. Calculate the remainder when b is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -340*k + 3415. Determine u(10).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a micrometer in nanometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2890 is divided by 42?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -376 (base 12) in base 16?\nAnswer: -20a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 294 and 4242.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 46033059.\nAnswer: 2\/15344353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 649 is divided by 235?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 4 = s. Let w = s - 0. Suppose 2*z - w*y = 64, -z - 5*y - 44 = -2*z. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2645805?\nAnswer: 3, 5, 23, 7669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.92 + 12\nAnswer: 11.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u = 12*u. Solve u*d + d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110874231.\nAnswer: 3, 13, 315881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -168827*m**3*v**5 + 11*m**3*v - m**2 + 676852*m*v + 8*v**5 - 2*v wrt v?\nAnswer: -3376540*m**3*v**3 + 160*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - 0 - (15 - (9 - -7)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 16*q**2 + q - 4. Let g be m(-4). What is g rounded to the nearest 10?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*k = -160*k + 4*x + 26, -10*k + 4*x = 64 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2064 or 2029?\nAnswer: 2064","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8221.3 + 8219. Sort z, 17.5, 3 in decreasing order.\nAnswer: 17.5, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*k**2 - 3*k**2 + 7*k**2 - 2*k + 12*k**2.\nAnswer: 70*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76703 is divided by 1043.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8\/20 + (-3294)\/(-15) + 1.\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from wuuwwuuwweuwuuuuu?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 5:46 AM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22260 divided by -281.\nAnswer: 22260\/281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.03966962287 + -0.0964\nAnswer: -0.05673037713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 363482326 to the power of 1\/2, to the nearest integer?\nAnswer: 19065","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v. Suppose 0 = 3*y - 6 - 12. Let h(g) = 5*g**2 - 6*g + 6. Let w(q) = q**2 - q + 1. Let z(l) = y*w(l) - h(l). What is m(z(t))?\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12730082483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5221170, 10442323, 15663476, 20884629?\n\"Answer: 5221153*v + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 10520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64980 and 380?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 185, 215, 3, 7, 1 in decreasing order.\nAnswer: 215, 185, 7, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 119 - 117. What is the nearest to 0.1 in 0, -2\/5, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35 and 57014855.\nAnswer: 399103985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1469842 to the nearest integer?\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4795, 5045, 5355, 5755, 6275, 6945?\nAnswer: 7795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 55385, 110769, 166143, 221501, 276837, 332145?\n\"Answer: -y**3 + y**2 + 55388*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a - 6. Let n be s(-6). Suppose -7*p + 16 = -n*p. Suppose -p + 616 = -2*u. Round u to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -105, 2, -1\/7, 2\/7, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*f**3 - 58*f + 269 wrt f?\nAnswer: 9*f**2 - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + 26 + (1 - 4 - 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4*o - 68. Let v be j(-17). Let y = 183 + v. What is the remainder when 175 is divided by y?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k - 1. Let v be f(-3). Let z be -5 + 0 + -4 + 8. Sort -2, z, v in descending order.\nAnswer: z, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000195415617 to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1272 is divided by 253.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 16*i**2 + 55*i + 37. Let v be k(19). Which is the nearest to 0.2? (a) 5 (b) v (c) 0 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f + 8. Let j be m(7). Let o be (2\/5)\/(-1 + (-14)\/(-7)). What is the nearest to j in -1\/5, o, -0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2917667291 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-31)\/124)\/((-4)\/352). Solve -l - 126 = -y*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/3)\/(o*o*o**(-2\/3)))\/(o**(3\/5)\/(o\/o**4)) assuming o is positive.\nAnswer: o**(-79\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -3*p**4\/4 + 7*p**3\/6 + 5*p**2 - 4155*p. Let q(h) = -26*h**2 + 20*h + 29. Give -6*q(x) + 17*t(x).\nAnswer: 3*x**2 - x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -279 + 291. What is the remainder when 69 is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34469.2 * -0.634\nAnswer: 21853.4728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2*l + 8 = 8*f, -3*f + 2*l + 6 = 0. Suppose 5*y - f*h - 564 = -3*h, 0 = -4*h - 4. Is 56 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1229.3 to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 4*o**2 - 8*o - 12. Let c be v(8). What is c rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-10))\/((-8)\/(-80)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -4417*f + 30916. Determine o(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1493.5 (b) 0 (c) 2\/103 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.01 - -0.01. Let h = -0.7 - 5.3. Let p = -5 - h. What is the second biggest value in -5, p, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from {f: 4, n: 5, m: 3}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -247, -1953, -6579, -15583, -30423?\nAnswer: -52557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10847?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + 30*l + 35. What is v(29)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of i**5\/20 - i**4\/12 + 4*i**2. Let l(r) = 0. What is r?\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/50623 and -50\/713?\nAnswer: 50623","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**3 - 13*m**2 - 6*m + 65. What is the hundreds digit of t(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5410 or -5414?\nAnswer: -5414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2713\/10 - 272. What is the common denominator of i and (-129)\/3 + -1 + 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 133 (base 5) to base 16\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -955 - 403 - 372 = 867*d - 694*d for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 16) to base 6\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1295700 by -8638.\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(140\/(-8)) - 17\/(1275\/55)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1355 (base 8) to base 13\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = 72*d - 222, -4*c - 9979*d = -9980*d - 21 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(36\/(-765))\/(4\/(-10))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pva when three letters picked without replacement from {p: 1, a: 4, e: 2, v: 2, r: 7}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3*o - o**3 + 101*o**2 - 191*o**2 + 93*o**2. Determine s(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 5 - 5)*(-2*k**4 - 2*k**4 + k**4) + 11*k**4 - 11*k**4 - k**5 + (4*k - 2*k + 0*k)*(-3*k**4 + 0*k**4 + 0*k**4).\nAnswer: -4*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 175 - 139. What is the highest common factor of t and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-20)\/(-175) - (80 + -102 - 1440\/(-21))\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*h + 16*h + 9*h**2 + (-1 + 1 - h**2)*(-2 - 2 - 2) - 4*h + 4*h + h**2.\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 527453 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -296.18 rounded to the nearest integer?\nAnswer: -296","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -3*n + 9. Let p(t) = -t**3 + 6*t**2 - 5*t + 2. Let f be p(n). Let i = f + -6. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 22*j - 1. Let m be r(1). Let b = 46 - m. Is b a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -22 and 6189.185.\nAnswer: 6167.185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5313420?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, g: 2, i: 1, e: 1}. Give prob of sequence egi.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27\/5 + 169\/35. Is -2 < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 953 (base 14) in base 10?\nAnswer: 1837","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 4*l - 9. Give z(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*8\/216*(-24)\/26?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 + 51. Calculate the remainder when i is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7278 and 30.\nAnswer: 36390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3811 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -54?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -266 - -270. Let r = 1.99 - 0.09. Let q = 2 - r. Sort m, q, -0.5 in increasing order.\nAnswer: -0.5, q, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -5 + 0 + 2*(-1 + sqrt(72)))**2.\nAnswer: -72*sqrt(2) + 297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 8. Let d(i) = 0*i + 0*i + z*i - 7. Let a(s) = -4*s + 8. Determine 5*a(n) + 6*d(n).\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqcc when four letters picked without replacement from qqccqqcccqqcqcqcqc.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v - 7. Let h be y(6). Suppose 4*w - 14 = 2*m - 0, -5 = -h*m. Suppose 10 - 120 = -10*u. Solve 2*q - 5*q + w*b = u, 0 = 5*q - b + 24 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of -j**5\/10 + 59*j**4\/12 + 7*j**3 - 7*j**2 + j - 2. What are the prime factors of l(30)?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 90, 411, 960, 1737, 2742, 3975, 5436?\n\"Answer: 114*x**2 - 21*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.9 + -2. Let h = -6.5 - -7. Which is smaller: h or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from fdmkfkyddymdmmdddmkk?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -432*d**5 + 6*d**4 + 6381*d + d**2 + 144*d**5 + d**2 - 2*d**2 wrt d.\nAnswer: -5760*d**3 + 72*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001 (base 2) in base 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/6)\/((-30)\/(-27))*1315\/(-4734)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x + 1239 = 3714. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + x + 237. Let g be y(0). Suppose -s = -5*f - g, 0*f = -2*f - 10. What are the prime factors of (-45)\/2*(5 - s\/20)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6288 = 3*f + 9*f. Is f a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: 0 - 0 - (-6 + 7 + 4 + -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-3) + -1 + (-42)\/126. Is i <= 8\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v**2 + 5*v. Let s(l) = 677*l. Calculate q(s(i)).\nAnswer: 1374987*i**2 + 3385*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -682, 0, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -148 - -151.04. Let n = -0.04 + j. Let r = -0.6 + 1. What is the third biggest value in n, -1\/8, r?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -1) + 154\/66?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 1 - 4 + 4)*(-21 - 6*w**4 + 20 - 13*w**4).\nAnswer: 38*w**5 - 19*w**4 + 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (65 - -28 - 77) + 43\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2157 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 963*s - 5732. Let p be t(6). Let o be (4*5)\/((-6)\/(-15)). Which is greater: p or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 15*d**2 - 86*d - 4. What is s(6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4 + 5*sqrt(1008)*-1 + 5.\nAnswer: -60*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/3 or 1\/16946?\nAnswer: 1\/16946","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 7490?\nAnswer: -7487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -75, 109, 425, 879, 1477, 2225?\n\"Answer: k**3 + 60*k**2 - 3*k - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aw when two letters picked without replacement from wwuaauwaaaufafaaaa?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 207.6 - 207.7. What is the nearest to 19 in -1, 3, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 166 + -552. Let i = n - -759. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 6*k**2 + 5*k - 10. Let b(f) = -f**2 - f + 2. Suppose -7*c + 6 + 1 = 0. Let y(q) = c*x(q) + 5*b(q). Let j(s) = -2*s**2 + 204*s. Calculate y(j(o)).\nAnswer: 4*o**4 - 816*o**3 + 41616*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 99*s + 4. Let z(u) = -32459*u. What is z(l(w))?\nAnswer: -3213441*w - 129836","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 77 - -17. Suppose 9*s - 11*s + p = 0. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-215)\/25)\/(-1) + -9.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 26.1971 and -11\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 5:32 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2632495 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 14 = -2*o, o + 27*g = 30*g + 18. Let u(z) = -z**3 + 12*z**2 + z - 5. Calculate u(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 882975131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.713 - 0.013. Let z = o - -40.3. Let t = z - 42. Is t smaller than -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.8 - 5. Let c be (66\/(-16) - -4)*-8. What is the nearest to c in m, 4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 479880030 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n. Let w(g) = 2*g - 2. Let j(i) = 12*i - 82. Let y(t) = -j(t) + 5*w(t). What is y(x(o))?\nAnswer: 2*o + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -114, -226, -338?\nAnswer: -450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 674*q**3 - 1 + 647*q**3.\nAnswer: -27*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a minute in milliseconds?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110 - -112?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/11893340 and 61\/76?\nAnswer: 225973460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (1 - (-7 + -1)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -381, -763, -1145, -1527, -1909?\n\"Answer: -382*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 3*k - 12, 4*b - b - 16 = 4*k. Suppose b = -2*j + 5*j - 21. Let q = 55 + -36. Calculate the remainder when q is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - 7*j + 7. Let x be t(3). Let n = -0.1 - -0.1. What is the nearest to -0.1 in x, n, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23103100302 (base 4) in base 15?\nAnswer: -3d7b8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 + f - 3)*((0 + 0 + 2)*(-5 + 4 + 3) + 2 + 1 - 1 - 1 + 4 - 5) + (-5 + 5 + 1)*(-2*f - 5 + 5))*(-1 - 2*f + 1) in the form k*f**2 + h*f + n and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(200)*-1)**2 + sqrt(200) + sqrt(200)) + (-3 + sqrt(200) + 1)**2 - ((2 + sqrt(200) + 1)**2 + (sqrt(200) - (0 + sqrt(200))*5)).\nAnswer: 20*sqrt(2) + 795","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228 = 344*l - 306*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/20 and 8\/45.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 32347?\nAnswer: 32347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208) + -3 + 5.\nAnswer: 2 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 3*f - 132, 232 = 4*u - f - f. Let z = -4 + 7. Suppose -z*l - 41 = 4*q - 113, -3*l + 2*q = -72. What is the highest common divisor of l and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1016574, 1016566, 1016552, 1016532, 1016506, 1016474?\nAnswer: 1016436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42665*c**5 - 35711*c wrt c?\nAnswer: -853300*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32*u**4 + u**3 - 14*u**2 - 2.\nAnswer: 768*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 8 = -3*n. Let k(w) = -21*w - 83. Let j be k(-4). What are the prime factors of j\/(n\/48) - 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o**4 - 2328*o**3 + 84752*o**2 + 84506904*o + 84419820 = 0 for o.\nAnswer: -155, -1, 369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -143*l - 217*l - 328*l + 234*l + 1035 wrt l.\nAnswer: -454","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -152660577.\nAnswer: -1\/50886859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3035 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/72 and -115\/25344.\nAnswer: 25344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of n**9\/5400 + n**8\/8400 - n**7\/900 - n**6\/900 + n**4\/6 - 2*n. Let o(m) be the third derivative of p(m). Solve o(a) = 0 for a.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of 13*j**4\/12 + j**3\/2 + j**2\/2 + j. Suppose u + 1 = -1. Is h(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -61 - -63. Let w(g) be the second derivative of 1\/15*g**6 + 0 - 2*g + 0*g**3 + 0*g**5 + 0*g**r - 1\/4*g**4. Find the third derivative of w(z) wrt z.\nAnswer: 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4422700 is divided by 1095.\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and 1177.66094337?\nAnswer: 1177.16094337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 8 + 2 - 7 - 4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 838849 divided by -8\nAnswer: -838849\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + 3*o + 4. Let g = -10 + 7. What is u(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11f (base 16) to base 4\nAnswer: 10133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 25065 and 25066 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14\/(-24) + 0\/1. Let u = -5\/12 - v. Suppose -36 + 44 = 4*c. Sort c, u, 3 in increasing order.\nAnswer: u, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 279.3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/7 - 44*p\/7 - 32.\nAnswer: -2*(p + 8)*(p + 14)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k + 2*r + 13, 2*r + 56 = -k + 53 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11936083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0168 + 0.053?\nAnswer: 0.0362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of y**9\/60480 + y**7\/5040 + y**6\/720 + y**5\/20 + y**2. Let i(u) be the third derivative of o(u). Determine i(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven fifths of a centimeter?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 994046655?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6, 3, -5, 21 in ascending order.\nAnswer: -5, 3, 4, 6, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -2*v + x, 0 = 2*v - 5*x + 4. Calculate the remainder when 54 is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 118629\/24662 + -42\/1121. Find the common denominator of p and 3\/12*388\/(-14).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 9283 = -9283. Let p(r) be the first derivative of 7 + 0*r + 7\/4*r**4 - 2*r**2 + o*r**3. What is the second derivative of p(b) wrt b?\nAnswer: 42*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -13*a**2 - 11*a - 7. Let r(z) = -15*z + 4. Let i(m) = m**2 - 12*m + 4. Let y(v) = 7*i(v) - 6*r(v). Give 6*c(b) + 11*y(b).\nAnswer: -b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 7*j. Let v(a) = -17576895*a. Give v(u(m)).\nAnswer: -123038265*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-7\/4)*o*o\/o**(-2\/9))**(-37)\/(o**(3\/4)*o\/(o\/(o\/o**(-3)))*o*o*o*o\/o**3*o**(1\/2)) assuming o is positive.\nAnswer: o**(-427\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -63*o**2*v - 5986347*o**2 - 10*o*v**3 - 62*v**2 wrt v?\nAnswer: -63*o**2 - 30*o*v**2 - 124*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3440661*j + 13762639. Calculate p(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 2*h + 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -1341a87b?\nAnswer: -1341a880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4*j - 36 = 0. Let c = -40 + j. Let n = 33 + c. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c**3 - 14*c**2 - 27*c + 14. Let v be l(-14). What is the highest common divisor of v and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*v - 345*v = -720*v - 1032 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.06 + -0.54. Let m = r + 1. Let p = 2671.9 + -2672.2. Which is the third smallest value? (a) p (b) m (c) -0.1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.18087 - -0.0155.\nAnswer: -0.16537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 2*n - 3*p, 0 = -7*n + 11*n - 4*p - 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) + ((sqrt(187) - (sqrt(187)*-1 + sqrt(187))) + sqrt(187))*2 + (-5*-5*sqrt(187) - sqrt(187)))\/(3*1*sqrt(891)*1).\nAnswer: 29*sqrt(17)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -0.3 (b) -5 (c) 0.4 (d) -0.24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-11))\/(-13*(-3)\/429).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.423903 to 2 dps.\nAnswer: -1.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3887577 + -221077. Round m to the nearest 100000.\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43369*f**3 + 21694*f**3 + 21684*f**3.\nAnswer: 9*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/10 + (-12)\/(-5). Let v = 232 - 231. Let p = j + v. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12404413013 - -3?\nAnswer: -12404413010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 353 and 75024.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -7*s**3 - 7*s**2 + 6*s + 6. Let k(q) = q**3 + q**2 - q - 1. Let z = 13 + -12. Determine z*i(m) + 6*k(m).\nAnswer: -m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/6 of a century?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37248 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -354, -703, -1050, -1395, -1738, -2079, -2418?\nAnswer: -2755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i. Let y(k) = -8*k. Let a(j) = 30*o(j) + 3*y(j). Let q(d) = -3857335 + 12*d + 3857335. Calculate a(q(n)).\nAnswer: 72*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 5 = -10. Suppose -2*u = b*u - 40. Suppose -38 = -u*t + 82. What are the prime factors of t?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -527 (base 8) to base 6.\nAnswer: -1331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2251, 2232, 2199, 2152, 2091, 2016?\n\"Answer: -7*o**2 + 2*o + 2256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, -3, 0.1, -42, 2\/5?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**2 - 3*d - 43. Let l be i(-11). Let u be (l\/(-49) - 3) + (-1)\/7. Find the second derivative of -56*b**u - 22*b - 3*b + 56*b**2 - 30*b**5 wrt b.\nAnswer: -600*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v + 38. Calculate the remainder when l(8) is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 4*g**2 - 4*g + 8. Let z = 160 + -165. Calculate b(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 2*t + 2 = 0, -2*k - 2*t + 2 = k. Let x = k + 2. Let i(u) = -u**3 + 2*u + 2. Let o(f) = -2*f**3 + 5*f + 5. Determine x*o(l) - 5*i(l).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13.6 and -0.045.\nAnswer: -0.612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3)*x*x**3)\/(x\/(((x**1*x)\/x)\/x))**(3\/35)*(x\/x**(1\/4))\/x**2*(x\/((((x\/x**(-1\/4))\/x)\/x)\/x*x))**18 assuming x is positive.\nAnswer: x**(4363\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 4.3. Let u = 3.5 + -3. Let d = -0.074 + 0.074. Which is the smallest value? (a) l (b) d (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r**2 - 6*r - 2. Let w be u(-1). Sort -7\/2, 5, -3, w in descending order.\nAnswer: 5, w, -3, -7\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4*a = -1, 0*a + 15 = 3*l - 3*a. Let h be 1*(0 - 1) - -5. Let y be (-3)\/(-6) - (-10)\/h. Solve y*p = 3*j - 6, -l*p = j - 6*p + 2 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*t + 15*t - 4*t)*(5*t**4 + 8*t**4 - 4*t**4) + (-3*t**2 + t**3 + 3*t**2)*(-3*t**2 - 2*t**2 + 4*t**2).\nAnswer: 170*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 12*l**2 - 2*l - 8. Suppose -3*t - 5*i + 3*i - 19 = 0, 0 = i - 1. Is n(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 2764.989 microseconds?\nAnswer: 2764989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -0.8 (c) -14 (d) -4.3 (e) 32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -3*p - 2. What is the common denominator of (35\/8)\/(-7)*(-485)\/50 and (-2)\/p - (-37)\/(-20)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 3*o + 4*q, -8*q = o - 11*q + 16 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 491470073?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 228 = 3*i - 0*x, -5*i = 4*x - 380. Let f = i - 72. Suppose 0 = 3*z + 5*y - 242, 3*z = 7*z - f*y - 312. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 11*c = 6. Suppose -c*k + 8*k = 20. Suppose -470 = -3*f + k*r - 2*r, -15 = -3*r. Calculate the greatest common divisor of 16 and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*f - 31*f - 38*f + 14*f - 96*f)*(24 + 38*f - 24).\nAnswer: -5168*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 81\/(-648)*4\/3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -780, 4, -1, -3 in decreasing order.\nAnswer: 5, 4, -1, -3, -780","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -228 - -232. What is the third biggest value in -135, 0.2, b?\nAnswer: -135","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 16730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/190 and -63\/38?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5992775827 - -97.\nAnswer: 5992775924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0710604 decades in millennia?\nAnswer: 0.000710604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.9? (a) 5 (b) -297 (c) -0.05 (d) 1 (e) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 36, 51, 66, 81?\n\"Answer: 15*d + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10744 + 5d?\nAnswer: -106e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(-2)\/(-3 + 1). Suppose -o*n = -4*y - n, 0 = 4*n. Let b(k) = 3*k + 10 - 4*k + y*k. Determine b(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wgg when three letters picked without replacement from wggsgwggjggggggfgf?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 2*g. Let d be g\/(-2) + 5\/1. Solve d*s + 8 = y - 0, y = s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9096 by 758.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2692301?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -162 - -172. What is the lowest common multiple of 6 and f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15171 (base 8) in base 11?\nAnswer: -5101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 39 + 15 = 0. Let k = v - -1. Let w(u) = 2*u**2 + 7*u + 5. Calculate the remainder when w(-5) is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in 3399, 0.14, -1\/5, -0.3, -5?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11111 (base 2) to base 9.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 58772 to the power of 1\/2, to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3341462881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xlxplxxlpq. What is prob of sequence lxq?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -141605, -283251, -424897, -566543, -708189, -849835?\n\"Answer: -141646*p + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 81*v**2 - 1. Let q(i) = -2*i**2 - 4*i - 26884. Determine q(o(b)).\nAnswer: -13122*b**4 - 26882","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -23 - -14 - 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 233470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18265 - -34504. Is o\/13 - (-2)\/52*-4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1512)\/182)\/(-36) + 2475\/(-3289).\nAnswer: -12\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12164 is divided by 3041.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/1 + 0)*(306\/(-34) - -22)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 443968 and 576?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 2. Suppose 2*d + o - 28341 = x, 2*d - 17062 = 2*o + 11264. Let n = 8268 - d. Round n to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*d**2 + 0*d**2 + 136*d - 116*d = 0. What is d?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264.6263g in micrograms?\nAnswer: 264626300","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 - 4*n**2 - 48*n.\nAnswer: 4*n*(n - 4)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -132133210 (base 4) to base 7\nAnswer: -1030066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6212327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 809*o + 705 wrt o.\nAnswer: 809","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1191956882, 1191956880, 1191956878, 1191956876?\nAnswer: 1191956874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 - 10 + 314950*w - 12 - 365867*w + 0 + 0 - w - 1 + 1 - 2*w + (-2 - 2 + 2)*(-w + 3*w - 4*w) - 2*w + 2*w - 2*w + w + 4*w - w as g*w + f and give g.\nAnswer: -50914","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 799 divided by -47\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 7. Let i(k) = 2*k - 1. Let p(h) = 3*h - 2 - 3*h + 4*h. Give j*p(s) - 13*i(s).\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 325*t + 91. Suppose -79 = -4*h + 285. Let n(c) = 12*c + 137. Let x(k) = -13*k - 115. Let f(v) = 5*n(v) + 6*x(v). What is h*f(b) + 5*j(b)?\nAnswer: -13*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b = 257 - 23. What is the remainder when 26 is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 2 + -1 - (-14 - (42 - 46)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 3*k - 9, 2*d + 4*k - 6 = -0*d. Suppose 0 = -3*o - d, 3*z + 3*o = -o + 161. What is the highest common factor of z and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -402024004401 - 10?\nAnswer: -402024004411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*k + 13*k = 62*k + 1530 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/(-4)*(808\/20 - 40). Put -3, 4, 228, m in descending order.\nAnswer: 228, 4, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5782, -11574, -17370, -23170, -28974?\nAnswer: -34782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -562706100 divided by 140676525\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 18*d**2 + 30*d + 32. Let k be w(16). Suppose -6*i + 14*i - 21656 = k. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from lllwwkwktlwwk?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12096 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -6*p**3 + 2*p + 1. Does 2 divide z(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 + b0b?\nAnswer: b12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -1. Let v(k) = k**2 - k - 4. Let o(f) = -3*f**2 + 3*f + 14. Let i(u) = 2*o(u) + 7*v(u). Calculate i(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 637\/68 - 37\/4. Let r = -4.25 + 5.25. What is the closest to r in b, -5\/4, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x + 20. Let i be y(-16). Let c(r) = r**2 + 42*r - 84. Let n be c(i). Suppose 4*d - d = 4*l + 3, -5*l + 2*d + 5 = 0. Solve l*m + n = -m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.45 - -0.05. Let n = 16 - 14.8. Let b = 0.2 - n. What is the closest to b in q, 0.4, 2\/9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14701 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(432) - (sqrt(432)*-2 + sqrt(432)))*-5)\/(sqrt(30)\/(6*(sqrt(5) + sqrt(35)\/sqrt(7)))))**2.\nAnswer: -5760*sqrt(2) + 1036816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/4)\/(((-15)\/77540)\/(-3)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*o = 6*o + 11*o + 4*d - 210, -2*d - 36 = -5*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 7 - 2 - 64*b**3.\nAnswer: -64*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -3515*y - 1602*y + 255*y as m + h*y and give h.\nAnswer: -4862","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 3*k + 54 + 23, i = 5*k + 32. Suppose 54 = 4*n - 3*z - 74, 0 = -n - 3*z + i. Suppose 0 = -q - 2 + n. Is 4 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-43 - -42)*(-4)\/26.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.1047 + -3.1. Let i = -0.002838 + z. Round i to four decimal places.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26649202801 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -646401 by -92343.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-15 - -21) - (-1 + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6645159 to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*k + 23 = -30*k + 15 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -107 - 3?\nAnswer: -10a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1151883 is divided by 485.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10 - (12 - (14 - -7)). Let o(y) = -y + 5. Let a be o(0). Suppose -r = -a*q - 4. Solve -v = q*p + 16, 2*p - p + 3*v = -8 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -k**6\/6 + 3*k**5 - 20*k**4 + 160*k**3\/3 + 11*k + 3. Determine l, given that f(l) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.02 - -0.32. Let s = -9 - -13.9. Let l = 5 - s. Sort 2, l, o in increasing order.\nAnswer: l, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2333790 or 2333788?\nAnswer: 2333790","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(176) - sqrt(176)*-1) - sqrt(176))\/(sqrt(40)\/(sqrt(15)\/sqrt(3))))\/(6*sqrt(44)\/(sqrt(4) + sqrt(16)\/sqrt(4))*-5).\nAnswer: -3*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u + 56*u + 0*u = 24935762 - 24932626 for u.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.7 or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -298 - -496. Is t a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(1\/4))**(-37))**(-4\/7)\/((u\/(u*u**(-1)))**(-44)\/(u\/u**(-2))**(-31)) assuming u is positive.\nAnswer: u**(-158\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21638994.\nAnswer: 2, 3, 13, 17, 16319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23499*d**6 - 75*d**5 - 3*d**2 + 19*d - 5811 wrt d?\nAnswer: 2819880*d**3 - 4500*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 3*w = 2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -6. Let c be (-16 - -14)\/(2\/r). Suppose -6*i = -c*i - 4. Solve b - i = -b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 5. Suppose -2*f + 4*u + 176 = 2*f, 83 = 2*f + w*u. Suppose 5*r = -z + 27 + f, -2*z + 161 = 3*r. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**3 + t**2. Calculate s(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9695, 9700, 9705, 9710, 9715?\nAnswer: 9720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -6. Let c(j) = 3*j - 5*j + d*j. Let z(h) = 22*h. Let n(s) = 7*s. Let v(w) = 16*n(w) - 5*z(w). Give v(c(y)).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 2*p - 1)*(-3*p + 7 - 7).\nAnswer: -6*p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 41\/6 of a minute?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2574*t - 3726. Let u(v) = -2573*v - 3688. Let q(r) = 4*k(r) - 5*u(r). Differentiate q(j) with respect to j.\nAnswer: 2569","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.37 and -69605.\nAnswer: -69605.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*i**2 + 29803879002*i - 6*i**2 - 29803879002*i.\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 75?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iuuhxuuuhuuuxu. Give prob of sequence uhxx.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172*a**2 + 3*a - 856*a**2 + 13 + 20 - 33.\nAnswer: -684*a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1246*n**3 + 7*n**4 - 1251*n**3 + 13*n - 1 - 4*n**4 wrt n?\nAnswer: 36*n**2 - 30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 2 (c) 2973 (d) -6 (e) -9.28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ava when three letters picked without replacement from cavakvrk?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 13*y - 9*y, -6*u - 8 = -679*y + 683*y - 0 + 14 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51306 divided by -3.\nAnswer: 17102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-135)\/(-20) - 6\/8. Suppose -3*a = -r*a + 93. Suppose -23 = -2*v + 11. Calculate the remainder when a is divided by v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 240660630*g**3 - 216358317*g**2 wrt g?\nAnswer: 1443963780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3 - 1416*o**2 + 91275*o - 774150.\nAnswer: 3*(o - 397)*(o - 65)*(o - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 m when four letters picked without replacement from {q: 5, d: 5, n: 2, m: 3}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 8*t - 5. Is y(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21 + -13?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.013 - 13572205806.\nAnswer: -13572205806.013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*j + 2*j - 19712. Is 14 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 41*n**2 + 153*n - 417. What are the prime factors of r(42)?\nAnswer: 3, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0453 + 7.\nAnswer: 6.9547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**2 - n + 18. Suppose -24*r = -12570 + 12498. Let m(c) = -c**2 + c - 17. Calculate r*m(a) + 2*y(a).\nAnswer: a**2 + a - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 342210 and 2466156?\nAnswer: 752177580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 142126 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 - 28123*c - 900960.\nAnswer: (c - 28155)*(c + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -j**4\/12 + j**3 + 13*j**2 - 2*j - 32. Let d be m(8). Solve d = 2*x, 2*x - 14 = -3*u + 5 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 212*k - 209*k + 4*c + 1, -3*c - 57 = -4*k. Calculate the lowest common multiple of k and ((-2)\/(-4))\/(4\/360).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {c: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -19c95 + 3?\nAnswer: -19c92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 6*k**3 + 8*k**2 - 4*k + 2. Let c(o) = 5*o**3 + 8*o**2 - 3*o + 2. Give -4*c(f) + 3*d(f).\nAnswer: -2*f**3 - 8*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -0*i + 8. What is the third derivative of 2*h**2 + h**2 + 3*h**4 - i*h**4 + 0*h**4 wrt h?\nAnswer: -24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1717 + -602. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -167706 by 693.\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of -f**4\/12 + 7*f**3\/3 - 13*f**2\/2 + 7*f. Calculate the smallest common multiple of 15 and b(12).\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 14*s**2 - 25*s - 15. Is 34 a factor of g(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/112 and 79\/3596784?\nAnswer: 25177488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 + -41. Is (c\/(-24))\/((-4)\/(-474)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 3530 + 3532 = 2*q, -5*q = 5*d + 10 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.162461 rounded to three decimal places?\nAnswer: -0.162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -13. Let c(v) = v**2 + 1. Let o(t) = 2*t**2 - t - 1. Let f = 0 - -1. Let z(d) = f*c(d) - o(d). Determine z(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 6*i**2 - 10*i + 12. Let l be r(1). Let y(c) = c**2 + 12*c + 56. Does 9 divide y(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 + -4. Suppose 5*i + b = -3*a + 2*a, -i = 3*a + 17. What is the units digit of (1\/(-2))\/(i\/36)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/15*21\/42?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - ca?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 347973.08 rounded to the nearest one thousand?\nAnswer: 348000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 42*i**5 - i**4 + 121*i**2?\nAnswer: 2520*i**2 - 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -663403 - -2.9.\nAnswer: -663400.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13777, -13826, -13875, -13924?\nAnswer: -13973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -92846?\nAnswer: -92849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/(-34)*-164)\/(-5*2\/(-5))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 + -37. Let t = i + 28. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3 + 68*z**2 + 384*z + 720.\nAnswer: 4*(z + 5)*(z + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8501 + 5?\nAnswer: 8506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 38*v**2 + 3630*v + 135648. Give y(-37).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(450\/117 + -4). Solve -n*t = -8*t - 15 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - k + 18 = 2*y, -5*k + 12 = -y. Factor -16*h**y - 25*h**4 + 0*h**5 - h**2 - 19*h**3 - 14*h**2 - 5*h**5.\nAnswer: -5*h**2*(h + 1)**2*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*z**4 - 31420*z**3 - 369796*z**2 - 358244*z - 19800 = 0.\nAnswer: -450, -11, -1, -1\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {j: 1, a: 5, e: 7}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 5*u - 576, 432 = 4*y - y - 4*u. What is the greatest common divisor of y and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 543 - 200. Let p = j + -342.9819. Round p to 3 decimal places.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 - 22 + 14)*(-3*k + 1 - 1)*(k - 2*k - k).\nAnswer: 72*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 164 - 1146\/7. Let o = -1\/21 - n. Suppose g = -5*l + 16, 5*g - 2*g - 12 = -3*l. Is g >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 524, -5, -4, 661 in descending order.\nAnswer: 661, 524, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66\/99*(-2)\/((-16)\/3)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - o = -0*q - 2645, 2*q + o - 1061 = 0. Let u = 614 - q. Is 43 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 59*t - 75. Let f be w(1). Let o(i) = i + 18. Let r be o(f). Factor 3\/2 - 3\/2*l**r + 0*l.\nAnswer: -3*(l - 1)*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -53 + 62. Round o to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3\/5 - 164*c**2\/5 + 316*c\/5 - 156\/5.\nAnswer: 4*(c - 39)*(c - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ve when two letters picked without replacement from bvavvaavbvrevvaaaav?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -402244 - 0?\nAnswer: -402244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -2*z + 393, 4*z - 756 = 7*w - 11*w. What is the remainder when z is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 77\/18 - (4 - (-70)\/(-20)). Suppose -3619*q - 11 = -3608*q. Sort a, -1\/6, q in increasing order.\nAnswer: q, -1\/6, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/2*18\/(-90). Let w(k) be the second derivative of t*k**3 + 0*k**2 + 1\/10*k**5 + 3*k + 0 + 0*k**4. Find the second derivative of w(v) wrt v.\nAnswer: 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 304 is divided by 39?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 3*r + 2, 2*r + 2*t = -12 + 4. Let q(w) = w**2 + 5*w - 14. Let h be q(-7). Is (-1 - h) + (r - -114) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) + 2 + sqrt(1088))*1.\nAnswer: 2 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(2\/7))**(-13)*d**(-9\/5)*d**6)**(-3\/8))**(-1\/37) assuming d is positive.\nAnswer: d**(51\/10360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**3 + 4623*j**2 - 1783320*j + 1778700.\nAnswer: -3*(j - 770)**2*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, g: 1, i: 2, h: 1, e: 1, s: 1}. Give prob of picking 1 g and 1 i.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**24*z*z*(z*(z\/(z\/(z**8\/z)*z))\/z)\/z*(z**(-1\/5)*z*z)**(21\/5) assuming z is positive.\nAnswer: z**(964\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 101434312313 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 5:52 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8368092?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1400*0.22.\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68210370?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h - 6*c + c + 234, -h - 1299*c = -1300*c + 46 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 11. Calculate the common denominator of (-4)\/l*152\/(-64) and (-85)\/(-42) + 5\/15.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1711.6 and -0.9.\nAnswer: 1710.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24.007 + 24.097. Let d be (-6)\/(-9) + 1\/(-1). What is the closest to j in 4, -5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -0.0923.\nAnswer: -0.03692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 14) in base 4?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2480\/(-380)*5187\/(-1638)\nAnswer: 62\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 19 + 3 - 2 - 5*m.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/272 and 49\/782.\nAnswer: 6256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -599.7 take away 3?\nAnswer: -602.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 q, and 2 u when four letters picked without replacement from luqqlbuuluqullluql.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 23*a**2 - 50*a + 5. Let s be g(-25). Let d(y) = -3*y**2 + 16*y + 1. What is d(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-2\/35))\/(x*x\/x**(3\/13))*(x**(-3))**41)**(9\/5) assuming x is positive.\nAnswer: x**(-507069\/2275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 122 - 1828\/15. Let b(t) be the first derivative of 1\/5*t**4 - p*t**3 - 1 + 0*t**2 + 0*t - 2\/25*t**5. Determine h so that b(h) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t**3 - 10*t**3 + 0*t**3 + 11*t**3.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4137311.8 + 1.9?\nAnswer: -4137309.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 9*x**4 - 27*x**3 + 16*x**2 + 20*x - 25. Let r(u) = 6*u**4 - 18*u**3 + 11*u**2 + 13*u - 17. Let d(i) = 5*n(i) - 7*r(i). Factor d(k).\nAnswer: 3*(k - 2)*(k - 1)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 34 + 3. Suppose 41 = m + 2*p, p - 178 = -m - 4*m. Let f = m - r. Let w(v) = 3*v + 2. Determine w(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -82, -175, -256, -319, -358, -367, -340?\n\"Answer: s**3 - 100*s + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 636\/69113 or 1?\nAnswer: 636\/69113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70843.27 hours to milliseconds.\nAnswer: 255035772000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -66*d**5 - 11*d**4*g**3 - 7*d**2 - d*g**3 + 90*d*g wrt d?\nAnswer: -3960*d**2 - 264*d*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + 36\/16 + (-62)\/(-8). Suppose -z*m + 821 = -7*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -123*k**2 - 28043*k + 358. Determine b(-228).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -4*p**3 + 2*p**2 + 5. Let a(h) = -3*h**3 + 2*h**2 + 4. Determine -5*a(s) + 4*o(s).\nAnswer: -s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 56765\/2 >= 0.08?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*v - 78 = 11*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*b + 15*b = 26*b - 295 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 0 + 2 + -5 + -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -17\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 + 19. Let d = h + 9.9965. Round d to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, y: 4, p: 13}. What is prob of picking 1 w and 1 y?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 2*p**2 + p - 3. Let t be w(5). Let u = 15 - t. Is 47 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81738322 > 81738323?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-21))\/(s**3*s)*(((s*s**15\/s)\/s*s)\/s)\/s**(-8\/11) assuming s is positive.\nAnswer: s**(360\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -108, -222, -336?\n\"Answer: -114*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -29208 (b) -11.3 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 83, -9, 4, 2, -6 in ascending order.\nAnswer: -9, -6, 2, 4, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -10220031 (base 4) to base 2\nAnswer: -100101000001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -9*h - 5*h + 13*h - 5*h + 55. Is k(-9) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 244, 228, 200, 160?\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 + 0.1. Let m be (28\/(-12) - -1)\/(-2). Which is the closest to 5? (a) x (b) -3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 5*l - 2652 - 707, 4*l - 2685 = 3*w. What is the hundreds digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -5\/3*y**3 + 1 + 2*y**2 + 3*y. Let j(c) = -6*c**2 + 5*c + 4. Let r = 3 - -2. Determine r*k(d) - 4*j(d).\nAnswer: -d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -274425*0.1\nAnswer: -27442.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 4766*m - 24. Let a(v) = 26565680*v - 133784. Let g(s) = 3*a(s) - 16723*t(s). Let p(y) = -2*y**2. Calculate g(p(q)).\nAnswer: 9556*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -14.8526 + -250\nAnswer: -264.8526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*v + 341 = 3*f, -4*v = 20. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 307, 312, 317, 322, 327?\n\"Answer: 5*d + 302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ot when two letters picked without replacement from cofeoftjfcttetf.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - w - 6, 0 = -3*y - 5*w - 6. Let l be (0*y\/6)\/2. Let g = l + 1. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**2 + 2*f**2 - 3*f**3 + 5*f**4 - 12*f**4 = 0. What is f?\nAnswer: -1, 0, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -30109, -60232, -90355?\n\"Answer: -30123*h + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11712*l - 12145*l = 16887 for l.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6012028890?\nAnswer: 2, 3, 5, 7, 9542903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -11302.3 plus -6568325?\nAnswer: -6579627.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*k**5 + 27*k**3 - 365*k - 2.\nAnswer: -120*k**3 + 162*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1115 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -6*z**3 - 61*z - 3 - 5 + 54*z. Let r(k) = 7*k**3 + 8*k + 9. Let p(j) = 5*r(j) + 6*s(j). Calculate p(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 131107 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - o + 3 = 0, 0 = 4*y + 3*o - 75. Is y*(0 + 2) - 0 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2704000 rounded to the nearest 100000?\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c = -u + 3*c + 22, 3*u + 2*c - 79 = 0. Let f = 90 + -72. Suppose -v = -t + 4*v + f, -4*v = -5*t + u. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/2)\/((l**(3\/10)*l)\/l)*(l**(4\/5)\/l*l)\/(l*l**(4\/3)*l) assuming l is positive.\nAnswer: l**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/7, -1, -5, -1\/8, 55?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61105, 60997, 60889, 60781?\nAnswer: 60673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1464563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a factor of 13601915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-310)\/(-1116)*24\/40*(-6)\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -243 + 175. Let n = -478\/7 - u. Which is the third smallest value? (a) -3 (b) n (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1c + -e9ad?\nAnswer: -e9ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -298*i**2*u**3 - 31*i**2*u + 8*u**3 + 738*u wrt u?\nAnswer: -1788*i**2*u + 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 69948339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.24 (b) 1\/4 (c) 2 (d) -23 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2963*b**3 + 3*b**2 - 3*b. Let m be y(1). Suppose 5*l + 3*p - m = 0, -p + 161 = l - 432. Is l a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a microsecond in nanoseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3532467?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q**2 - 1 - 4*q**2 + 6*q**3 - q**2. Let v(g) = -11*g**3 + 5*g**2 + 1. Give 5*k(i) + 3*v(i).\nAnswer: -3*i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/10 - 702\/(-30). Suppose 5*i + f = 4. What is the tens digit of i\/6*414\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n\/n**(1\/3)*n*n)\/n*n**(-1)*n**(-6)\/n**3)\/((n**7*n)\/(n*(n*n**(-1\/3))\/n*n*n))**(-7\/2) assuming n is positive.\nAnswer: n**(37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7016987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2771 + 839 = -361*h for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -963\/7733 or 0?\nAnswer: -963\/7733","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 817 = -1238. Suppose 16*p - 123 = -q. What is the biggest value in -1\/5, 2\/3, p?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -2*t**7\/105 + t**6\/20 + 23*t**5\/240 - 5*t**4\/32 + t**3\/12 - 2*t**2. Find w such that j(w) = 0.\nAnswer: -1, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6438498957.\nAnswer: 3, 11, 131, 496453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 2*c**2 + c - 13. Let u be g(6). Let t = -106 - u. What is t rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*n - 9984 = -16*n. Let w = -589 - n. Solve 4*q - w = -3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*((-2)\/(-2) + -3). Suppose 4*a = 2*o - 46, 18 = o + t*a - 11. What is the highest common divisor of o and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43 + 46. Solve -2*c = k*f + 13 + 1, -3*c - 3*f - 15 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4*s**2 - 20*s + 16. Let f(r) = 2*r**2 - 10*r + 8. Let d(q) = 2*q**2 - 2*q - 1. Let j be d(3). Let y(c) = j*f(c) - 6*n(c). Find w such that y(w) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -64 in increasing order.\nAnswer: -64, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -40132652 - -4?\nAnswer: -40132645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-3\/5)\/c)\/c**(-2\/7)*(c\/c**(-8))\/c**(3\/4))**(-9))**(2\/57) assuming c is positive.\nAnswer: c**(-2913\/1330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2267\/3 + -747. Let x(t) = -t**2 - 7*t - 2. Let s be x(-7). What is the common denominator of i and (-150)\/9*(1 - s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22715 + 5*x**2 + 45435 - 17*x**2 - 22720.\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/28 and 59\/1442.\nAnswer: 2884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**29*d*d*d**(-37)\/d*(d\/(d**(-45)\/d)*d*d)\/d*d**31*d assuming d is positive.\nAnswer: d**73","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 45754684 rounded to the nearest one million?\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.577 + 2.7107. Let b = n + -0.1337. Let j = 2.7 + 0.3. What is the second smallest value in 0.06, -3, j, b?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -282.\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 263 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6378?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/6)\/((-2)\/(-30)*5). Solve -3 = b*o - 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35902062 + 5.42731\nAnswer: 35902067.42731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 847981 is divided by 93?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -46 - -60. Suppose -2401 = q*n - 34419. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1432770, -2865556, -4298342, -5731128, -7163914, -8596700?\n\"Answer: -1432786*d + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 146*u + 107. What is the thousands digit of n(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-3))\/(1\/12). Suppose -u = -p*h + u + 12, u + 8 = 4*h. Let z(a) = 4*a**3 - 2*a + 1. Let o be z(h). Solve -2*b - x - o = 4, -14 = 5*b - x for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2672 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 7*m**2 + 4*m + 4. Calculate the remainder when l(7) is divided by 27 + -10*15\/30 + -2 + 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 209282.8us to milliseconds.\nAnswer: 209.2828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -2\/2321 (b) -0.04 (c) -30\/7 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 3*x - 6, -2*q - 3*x + 4*x - 7 = 0. Let j = q + 6. Which is the closest to j? (a) 5 (b) -0.4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22.1 * -2.\nAnswer: 44.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 11*m**2 + 9*m + 2. Let k be w(-10). Suppose -3*q - q + 12 = z, 2*q - 4*z = -k. Which is the nearest to 0.1? (a) -5 (b) 5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26*a**3*x*y**2 + a**3 - 4*a*y**2 + 2*x + 11*y wrt y.\nAnswer: 52*a**3*x - 8*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 2*f + 6. What is the units digit of n(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, o: 7, q: 2, b: 4, s: 1, c: 1}. Give prob of picking 1 o and 1 b.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -85*x + 40*x. Put x, -2, 4, -5, 17 in increasing order.\nAnswer: -5, -2, x, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-33))\/(3\/(-2))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((3 + -3)*1\/(-2))\/(-2). Sort 2, 20, s, 1 in decreasing order.\nAnswer: 20, 2, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**3 + 60*u**2 - 5*u + 14. Is s(-11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3578?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 19.9 from -0.08.\nAnswer: -19.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -85774, -342941, -771554, -1371613, -2143118, -3086069, -4200466?\n\"Answer: -85723*c**2 + 2*c - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32.45 + 33. Let q = i - 3.75. Let o = 12 + -17. Put -4, q, o in decreasing order.\nAnswer: q, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 17317, 34635, 51953?\n\"Answer: 17318*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 6*b**2 - 4*b + 1. Let h be c(5). Let a(r) = -r**3 + 4*r**2 - 2*r + 12. Let o be a(9). Is o\/(-7) + h\/21 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/72*3*-2*-9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 336 = 2*q, 5*y + q = 6*q + 435. What is the highest common factor of 34 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 12 - 4 = 0. Suppose -h + 0 = -v. What is the derivative of -v - 4*s + 2*s + 3*s wrt s?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and 11538.\nAnswer: 34614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1084 and 42276?\nAnswer: 1084","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -20*q + 1. Let j(k) = 7*k. What is 17*j(g) + 6*y(g)?\nAnswer: -g + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -12 and -18.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2. Let i(l) = -l. Suppose 15 = -0*p - 5*p. Let f(b) = -b. Let h(j) = p*i(j) + f(j). Determine h(y(g)).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 8*j**5 + 20*j**4 - 16*j**3 - 76*j**2 - 64*j - 16 = 0.\nAnswer: -2, -1, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 870 = -3*z, -z + 5*n = 4*z - 1480. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -1377*r - 5515. What is f(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 236.1 to the nearest ten.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5670 divided by 14?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2.582+16.09\nAnswer: 13.508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -152*w + 1 + 6 + 136*w. Let i be g(0). Let r(k) = k. What is r(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 5*q**2 - 4*q + 3. Suppose 0 = -3*d - 1 + 19. Let j(g) = -g + 2. Let t be j(d). What is the remainder when 10 is divided by v(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vmvm when four letters picked without replacement from {u: 7, b: 4, v: 4, m: 2}.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 7:27 AM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 185 = -s - 5*q, 5*q = 2*s - 360. Solve -176 + 351 - s - 4*w - 2*w**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*t, -2*k + 9 + 26 = -3*t. Calculate the remainder when 1183 is divided by k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 203*h = 200*h - 3, -5*s + 21 = -h for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3*x**2. Let k(a) = -23 - 21 + 44 - 5*a. Determine z(k(t)).\nAnswer: -75*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbxbvbbxbxbxxv. Give prob of picking 1 v and 2 x.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 64*v + 129*v - 63*v.\nAnswer: 2*v + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = 4*c + 5*j + 4, -4*j = 4*c - 76. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**5 + 10*o**4 - 10*o**2 + 5*o.\nAnswer: -5*o*(o - 1)**3*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 838*s - 1131. Let n(p) = -4191*p + 5649. Let b(i) = -4*n(i) - 21*z(i). Differentiate b(y) wrt y.\nAnswer: -834","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 98, 3, -3, 158, -4, -2, 5 in descending order.\nAnswer: 158, 98, 5, 3, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9804 - 9804. Solve p = 4*b, -3*j - 2*b + 6 = 24 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 4*sqrt(3) + (sqrt(3) - (sqrt(243) + 4)).\nAnswer: -4*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 4*y**2 - 7 + 0 - 3*y**2 - 9*y**2.\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 486 + 184*t**3 - 1606050*t + 113 + 1606049*t - 6*t**2 wrt t?\nAnswer: 1104*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, e: 1, s: 1, d: 1, u: 1, r: 1}. Give prob of sequence rdou.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of t**4\/8 + t**3\/3 - t**2. Suppose -3*n + 2*x + 6 = -63, 0 = 5*n + x - 102. Suppose 59 = -n*w - 25. Calculate k(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w - 3*w + 2*w + (0 + 5 - 3)*(-2*w + 3*w - 2*w) to z*w + r and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3c (base 14) to base 13\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five sixths of a hour?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 18*y**2 + 12*y + 17. Let z(f) = 2*f**3 - 19*f**2 + 11*f + 15. Let n(d) = 4*r(d) - 3*z(d). What is the units digit of n(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -16) + -12 - -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence scqc when four letters picked without replacement from {t: 4, c: 3, q: 2, s: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22353*d - 26686*d - 5470*d - 4468*d - 1420*d - 7230*d)*(-5*d**2 + 0*d**2 + 3*d**2) in the form y + p*d + v*d**2 + b*d**3 and give b.\nAnswer: 135254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 62 + -54. Let d be (-4 - -105) + -3 + -2. Suppose -69 - d = -11*v. Calculate the remainder when v is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4450 by 3385.\nAnswer: 890\/677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1309 + 1310. Suppose -12*i - 6 = -15*i. Let v(p) = 0 - 13*p**2 + i + 0 - 1. Calculate v(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.43? (a) -2 (b) 0.5 (c) -0.5 (d) -3\/95\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dfnf when four letters picked without replacement from nfnfwffwd.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z + 1999 = g, 4*g + 107 = -2*z + 453. Suppose -1 = w + 15. Let o = w - -33. What is the highest common divisor of z and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in twenty-one fifths of a microsecond?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 535, 45, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -f**4\/4 + 2*f**3\/3 - f - 4. Give g(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448)\/(sqrt(16)\/sqrt(2)) + sqrt(56) - (sqrt(56) - sqrt(6776)*-1))\/(1*-4*sqrt(40)\/sqrt(5)).\nAnswer: 5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 297 and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**2 - 16*g + 3. What is k(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -6 + 4 + 0 + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 798\/(-380)*85\/51*(-288)\/21?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 > 36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30*(35\/(-14))\/5 + 5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 28*q**2. Suppose -5*i - 96 = -7*i. Let f(s) = -s**2 + 48*s - i*s. Give y(f(t)).\nAnswer: 28*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110102221 (base 3) to base 11.\nAnswer: -1a66a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 4*u**5 + 364*u**4 - 11168*u**3 - 599040*u**2 = 0.\nAnswer: -104, -32, 0, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000111 (base 2) in base 13?\nAnswer: a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 378480 and 3120?\nAnswer: 4920240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 4 - 3 + 77*b - 62*b.\nAnswer: 15*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/4 of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 120030330?\nAnswer: 120030330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = -45*t + 34 + 544 + 276 for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 57 - (40 + -42)) + -4 + -3 + -3.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3718 (base 15) in base 5?\nAnswer: 333343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1529, 1530, 1531, 1532?\n\"Answer: o + 1528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 29 or -1\/17?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1070*q**2 - 536*q**2 - 534*q**2 - 132*q**3.\nAnswer: -132*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-3 + 2 + 24\/40)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 402 and 138?\nAnswer: 9246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/1072 and 53\/59818136.\nAnswer: 119636272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -702038 rounded to the nearest one thousand?\nAnswer: -702000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 33642874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 1538?\nAnswer: 3076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 485, 0.04, 0.3, 16.74 in increasing order.\nAnswer: 0.04, 0.3, 16.74, 485","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9476?\nAnswer: 2, 23, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 467 - 463. Solve 8 + 13 - 9 - 16*l + c*l**2 = 0 for l.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -101408633, -202817265, -304225897?\n\"Answer: -101408632*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4\/5, -1542, 3, 235, 2\/3, 0.2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1459921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67302?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -319*l - 52601. Determine k(-172).\nAnswer: 2267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -60 + 123\/2. Which is the closest to 0.1? (a) -25 (b) q (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w + 9. Let n(u) be the second derivative of 5*u**3\/6 - 19*u**2\/2 + u. Suppose -22*z + 26*z = 2*v + 26, 4*v + 72 = 10*z. Determine v*p(k) + 3*n(k).\nAnswer: k + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 10330 = -5*d, -5*a + 0*a = -4*d - 10303. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**(-7)\/p)**(-15\/8)\/((p*p**8)\/p**(4\/9)) assuming p is positive.\nAnswer: p**(97\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 33002341 (base 7) to base 8\nAnswer: 12614366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(4\/2064*12)\/1?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4338716 divided by -2169358\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3214 + -3211. What is the third biggest value in 0.1, m, 37?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-102*u**2 + 482*u**2 - 131*u**2)*(0 - 2 + 3).\nAnswer: 249*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -563, -0.2, 0.4 in increasing order.\nAnswer: -563, -0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 18 + 102*r**2 + 19*r**2.\nAnswer: 121*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 736 and 6854?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3432)\/(-154)*182\/3. Suppose 2*g - 203 - 625 = 0. Suppose 0 = -4*u - r + 2205 - g, 3*u - r = z. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -14*a**2 - 9. Let d(c) = 3*c**2 + 2. Let t(y) = 9*d(y) + 2*i(y). Let q(u) = -64*u + 1. Let v be q(-1). Let o(p) = -65*p + v*p - p**2. Give t(o(s)).\nAnswer: -s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -43*p + 5276. Give d(133).\nAnswer: -443","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18840\/(-628) + (-38)\/(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - (-8)\/(-3))*-3. Let p be 6848\/352 - 24\/(-44). Let b = 57 + -57. Solve 5*z = -i - 12, p = -b*z - 5*z - m*i for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2268309877?\nAnswer: 2268309877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 16*k**2 - 34*k + 105. Let j be l(3). Suppose 19*t = -33 + j. Solve z - t*z = -15 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 41 + 46 = 0. Round c to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 4*x - 78, 0 = 3*q + 4*x - 24 - 30. Let d(l) = -l**3 + 5*l**3 - 51*l**2 + 31*l**2 - q*l - 3*l**3 + 19. Determine d(21).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11420 (base 5) to base 13\nAnswer: -512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 17*w**2 - 7*w + 78. What is the tens digit of q(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**5 - 4*f**2 + 4*f**2)*(-1 - 1 + 0)*(2 - 5 + 2 + 2 - 3 + 0 + 3 - 5 + 0 + (0 + 0 + 1)*(6 - 2 - 2) - 3 + 2 + 0).\nAnswer: -6*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-55)\/(-5) + (-21 - -14). Solve 15*v = l + 17*v + 9, p*v = 4*l + 12 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(2\/30*6))\/(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -7*a**3 - 5*a**2 - 5*a - 5. Let s = -1838 - -1843. Let k(x) = 4*x**3 + 3*x**2 + 3*x + 3. Give s*k(p) + 3*f(p).\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 7 = 2*h - 23, 11 = -3*h - 4*d. Suppose 2*c - s = 5, -4*c - 13 = 2*s - 3. Solve c = -7*o + h*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4 + 3*sqrt(98) + 1 + 4 + -4)**2.\nAnswer: 42*sqrt(2) + 883","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 1, 3*z + 5*j - 11 = 2. Let i(b) be the third derivative of -b**5\/60 + b**4\/6 + b**3 - 2*b**2. Determine i(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 2*x + 21, 40 = -5*f - 4*x - x. Let w be (f - 39\/(-8))*2. What is the closest to -0.06 in -4, w, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 915132.\nAnswer: 2, 3, 76261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e (base 16) to base 4.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18936 - -17230.7. Let t = -1705.3008079 - z. What is t rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 166 (base 7) to base 14\nAnswer: 6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1.174 * -5891\nAnswer: -6916.034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 4*r**2 - 7*r + 16. Let s be i(8). Suppose -5*a - 5*w + s = -a, a = 3*w + 71. Is a a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or -63131931?\nAnswer: -63131931","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 40 = -45 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 671132.8um?\nAnswer: 0.0006711328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 778*q - 21725. Calculate f(27).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*c + 10*c + 4*c)*(-6 + 22*c + 5 - 31*c) to u + s*c + z*c**2 and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 752415460 + -752415412.9999977. Let h = -134 - -87. Let w = h + i. What is w rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-2 - 81\/(-40)). Let f be (-1)\/(-4) + (-70)\/d. Solve f*s + 20 = -3*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/5 + (-412)\/(-20). Suppose 18 = 4*a - 6. Calculate the remainder when d - (2 - (-8)\/(-2)) is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000010110010 + 1010101011011?\nAnswer: 10011000001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 12*g**2 + 7*g + 37. Let z(p) = -2*p**2 + 29*p + 35. Let s be z(15). Is o(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 371 divide 3343452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4*u**3 - 4*u**2 + 6*u + 4. Let r = -3340 - -3341. Let x(t) = t**2 - t - 1. What is r*c(m) + 4*x(m)?\nAnswer: -4*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76737 is divided by 76617.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gqh when three letters picked without replacement from {x: 1, y: 1, h: 9, g: 2, q: 6}.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1 + -4*((-4*sqrt(10))\/sqrt(5) + 4)*-3)**2.\nAnswer: -4704*sqrt(2) + 7005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of 76*j**4 - 32*j**3 + 96*j + 5364. Let s(h) = -16*h**3 + 5*h**2 - 5. What is 5*l(q) + 96*s(q)?\nAnswer: -16*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1182967 is divided by 1320.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w. Let l be d(-5). Let p = 16 - 11. Put l, p, -1 in descending order.\nAnswer: p, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of 7*b**6\/120 - b**5\/10 + b**3\/3 - 6*b**2. Let v(w) = 3*w**3 - 3 + 13*w**2 - 18*w**3 - 1. Give 13*q(k) + 6*v(k).\nAnswer: k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (((0 + sqrt(567))*-2)**2*2 - (2*sqrt(567) + -4 + -2*-1*sqrt(567))) + -2)*1.\nAnswer: -36*sqrt(7) + 4541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2440 - 873. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 38*a - 179. What is z(5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 71\/8*l - 1\/8*l**3 - 9*l**2.\nAnswer: -l*(l + 1)*(l + 71)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4953?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - 2*y + 1. Let s(v) = v**2 - 10*v - 11. Let a(h) = 2*n(h) + s(h). Let p be a(-13). Solve -t + 4*g - 2*g = -p, 3*t = -g + 12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 915 and 55.\nAnswer: 10065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 22, 24, 24, 16, -6, -48, -116, -216?\n\"Answer: -d**3 + 5*d**2 - 6*d + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56067513*f**2 + 56067513*f**2 + 370*f**3.\nAnswer: 370*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 2. Let w be (6\/7)\/(6\/56). Let d be w\/10*95\/114. Which is the closest to m? (a) d (b) -4 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 3061547?\nAnswer: -3061553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 8*f + 69. Determine x(4).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3322, 20943, 68770, 161905, 315450, 544507, 864178?\nAnswer: 1289565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*v + 8*v - 6*v + 11*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0962 + 0.0038. What is the biggest value in f, -0.2, 2\/3, -2\/9?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -140*x - 702. What is w(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/456280 and -27\/170.\nAnswer: 456280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2739 + 3?\nAnswer: 2740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, f: 2, q: 1, n: 4, k: 1, e: 5}. What is prob of picking 1 q and 2 f?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -39, -1\/9, -2\/13, 2\/3?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 + 26. Let o be (1*-1)\/(s + -8). What is the hundreds digit of o\/((-26)\/4) + 4206\/39?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u**7\/u)\/u))\/u**(-1)*(u\/(u*u\/u**1)*u)**(2\/5)*((u*u*u**1*u*u*u)\/u)**34\/(u**(2\/15)*u*u*(u**(-1)*u*u)\/u) assuming u is positive.\nAnswer: u**(2479\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 310*k - 309*k + 3*v + 2 = -2 + 1, 4*k + 12 = 4*v for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2754))\/(sqrt(2) + -6*sqrt(10)\/sqrt(5) + sqrt(2)) - (sqrt(136)\/(-1*sqrt(8)) + 3)*-1.\nAnswer: -13*sqrt(17)\/4 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/4)\/((-4)\/(-48)). Let b = m + 4. What is the second biggest value in -2\/13, b, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 1 - 1 + 4*n - 3*n + 1. Let b(a) = 3*a + 5. Suppose 0 = -0*g - 3*g + 30. Let v(o) = g*d(o) - 2*b(o). Let l(u) = -u**2. Calculate v(l(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1655 is divided by 325?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 31*f**2 - 6 + 0.\nAnswer: 31*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 7*p**2 + 9*p - 2. What is n(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-27)\/(-33)*422\/(-15). Let b = u - -116\/5. Let d be (1 + 1)*(-2)\/(-4). Which is greater: d or b?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ae when two letters picked without replacement from {g: 1, e: 1, i: 1, q: 1, a: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 + -46 + 2 + -1 + 1 + 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of 5*l**4\/12 + l**3\/6 - l. Let o be p(1). What is the third derivative of -3*j**2 + j**2 - j**o + 0*j**6 wrt j?\nAnswer: -120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 6. What is the third derivative of -2*d**2 + 5*d**2 - 4*d**n - d**4 + 0*d**2 wrt d?\nAnswer: -24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 650.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 6) in base 4?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 738 by 82.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 182326.\nAnswer: 1640934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + -15 + 63 + 11 + (-1 - 7) + 0?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 13*w**2. Let a(i) = 11*i - 4*i - 5*i. What is r(a(v))?\nAnswer: 52*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -l**3\/3 + 9*l**2\/2 - 5. Let r = 38 + -24. What is the remainder when r is divided by n(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -52944 or -52943?\nAnswer: -52943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 107\/5 + -423\/20. Sort -11.5, 3\/2, -0.2, v.\nAnswer: -11.5, -0.2, v, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + u + u)*(2 - 1 + 0)*(-u**2 + 271*u - 113 + 215 - 103).\nAnswer: -2*u**3 + 542*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w - 1. Let s(d) = -1. Let o be (2\/(-6)*-3)\/((-3)\/(-6)). Calculate o*s(v) - g(v).\nAnswer: -v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*h - 1. Suppose 0*m = h*m + 4. Sort 4, 0, m in descending order.\nAnswer: 4, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13262.716 rounded to the nearest one hundred?\nAnswer: -13300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -0.7 (c) -22\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.07, 195\/4, 35, 0.4?\nAnswer: 195\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000614 rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 47703.22 millimeters in meters?\nAnswer: 47.70322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3*s - 5. Let w(b) = -b + 2. Let u(i) = 2*r(i) + 5*w(i). Calculate u(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3008642498?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*m + 4*m + 2*m - 1 + 0*m.\nAnswer: 16*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38 - -74. Let g = 250\/7 - p. Which is the closest to 0.1? (a) 5 (b) -1\/6 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19592 times 4979?\nAnswer: -975.48568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17064249019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 10*h**2 - 108*h + 14. List the prime factors of f(30).\nAnswer: 2, 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 33, 83, 133, 183, 233, 283?\n\"Answer: 50*s - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/(-4))\/(9\/42). Let s = t - 7. Suppose s = 3*f - 11 - 37. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10464581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -115, -1, -3 in decreasing order.\nAnswer: 4, 3, -1, -3, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 376 - 295*b**3 + 7828*b - 7830*b - 142 wrt b.\nAnswer: -885*b**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -1.4. Let g = 132.02 - 134. Let n = -0.02 + g. Which is the second smallest value? (a) o (b) 4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + sqrt(132)\/(sqrt(12)*1) + (sqrt(77)*3*-5)\/sqrt(7)) + -2.\nAnswer: 28*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q**2 - 6*q - 2*q**2 + 7*q. Let t be (1 + -5)*6\/8. What is the units digit of h(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -206.1 + 206.14. Which is the nearest to 5? (a) -2\/11 (b) 0.1 (c) k (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-224)\/(-784) + 37\/(-7)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 473 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6854 and -921.\nAnswer: 5933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -13\/6382057?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 350?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 1\/5, 1\/123, 1, 2 in decreasing order.\nAnswer: 2, 1, 1\/5, 1\/123, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 + 24*m - 100. Let g be s(15). Let q be (-91)\/g - -3 - (-9)\/15. Let h = -4999\/19 - -263. Is q bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 3 - 27. Let h be (2\/t)\/((-3)\/18). Is 11 + 1\/(-2)*h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 3, -3, 14.\nAnswer: -5, -3, 2, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(-1\/12)\/o)*o**(1\/4))**(-1\/84) assuming o is positive.\nAnswer: o**(-1\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4628)\/9208 - 1\/(-2). Let p = n + 61009\/2302. Let a = p - 28. Sort a, 0.3, -3 in descending order.\nAnswer: 0.3, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -1\/6, -9, -1\/4, -0.7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 45*o - 1 + 30*o.\nAnswer: 75*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 8*i + 12. List the prime factors of j(-8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -81.566 * 323\nAnswer: -26345.818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 192*c - 9036. Give z(47).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 962?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 70533251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + 0.360702362.\nAnswer: 0.760702362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4449, -4482, -4537, -4614, -4713, -4834?\n\"Answer: -11*o**2 - 4438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2315*o + 34611. What is b(15)?\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -119, -142, -177, -230, -307, -414, -557, -742?\nAnswer: -975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -525c0?\nAnswer: -525c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7637702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/2783028 and 3\/65?\nAnswer: 180896820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -729 + 713. Which is the third biggest value? (a) -2 (b) 0.027 (c) -0.5 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 - -33 - (9 - (-1 + 3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -338241868194359.7700618 - -338241834359835. Let d = f + 33835088.77. Let p = 564 - d. Round p to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/1408 and 109\/5952.\nAnswer: 130944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 218195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 35*o**2 + 14*o - 210. Is v(7) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 27, -72, -421, -1152, -2397, -4288?\n\"Answer: -22*p**3 + 7*p**2 + 34*p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of h**3 - 12*h - 4. Factor v(o).\nAnswer: 3*(o - 2)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -650 - 9d1c?\nAnswer: -a56c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -3\/34 (c) -86\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1338492 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1012 + -102142?\nAnswer: -103154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 488306610?\nAnswer: 2, 3, 5, 11, 164413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -10587*(630\/(-216) - 1\/(-4)) - 4.\nAnswer: 2, 7057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 12 = 2*w - 4*w, -2*w - 4 = t. Let l = -1\/7 - 5\/14. What is the third biggest value in l, 3, w, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*b = 58 + 47 + 165 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 83651366*p**3 - 31487618*p wrt p?\nAnswer: 501908196*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78.57699mg to kilograms.\nAnswer: 0.00007857699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(-9))\/((-1)\/12). Suppose -h*b - 4703 = 3377. Round b to the nearest one hundred.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -116898207 by -3.\nAnswer: 38966069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61, 0.4, -0.2.\nAnswer: -0.2, 0.4, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9\/5 + -11\/5. Let w be (125 - -1)\/(45\/(-30)). Let z be -3 - (w\/22 - -1). Which is the closest to t? (a) 6 (b) -0.3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2956 is divided by 74.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-636)\/530*(-5)\/27\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l - 5. Suppose -4*w + 2*w = 2*t + 8, -3*t - 12 = 5*w. Let p be -5 + (t - 2\/(-1)). Let v be g(p). Solve z + v = -3*k, -k = 2*k - 4*z - 8 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45 - (14 - 1 - (-11 + 13)) - (1 + 5).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -5*p**3 + 45*p + 46. Determine u(-9).\nAnswer: 3286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b**3 + 22*b**3 - 4*b**3 - 7*b**3.\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (40\/(-3))\/5*3. Let n(g) = g - 2. Let a be n(x). Let d = 1 - a. List the prime factors of d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46356600973147 - 6.\nAnswer: -46356600973153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 37\/4, -2\/5, -0.3, 0.7 in increasing order.\nAnswer: -2\/5, -0.3, 0.7, 37\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 30*u**2 + 161*u + 22. Give s(-23).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*d + 71. Calculate the remainder when 35 is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -13010418 and -68734?\nAnswer: 12941684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3147 - -84.6353. Let v = m + -85. Which is the third smallest value? (a) 2 (b) 1\/5 (c) 0 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 401076059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 5*l**2 + 4*l - 2. Let x be u(-2). Let y(z) = 4*z - 34. Let p be y(x). Suppose 0 = p*b - 15 - 9. Solve -b*a + 16 = -0*a - 3*q, 2*q = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2301 - 657. Let k = i + -1639.956. Let u = -0.044 + k. Which is the biggest value? (a) -2\/5 (b) u (c) -11\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2789 = -0*x + 5*x, 0 = w - x - 1384. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k. Let y(m) be the third derivative of -m**6\/40 + 86*m**3\/3 - m**2 - 29*m. Let w(r) be the first derivative of y(r). Calculate h(w(z)).\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -189 by 189.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from {t: 3, i: 8}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195 + 55 = -5*l. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*x = -0*x + 438 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12564 to the power of 1\/2, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-17)\/10 + 4 + -2. Let u = -85\/923 + -976862\/6461. Let b = -151 - u. Is b >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - j. Let c(h) = h**3 - 9*h**2 + 6*h + 1. Calculate c(k) + 6*w(k).\nAnswer: k**3 - 3*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 5, k: 2}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -8, -0.03, -0.9, 25, -3\/4?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1*(-24)\/42*9\/(-8) and (-4)\/10 - 42\/20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 45 = 3*c - 6*c, 2*t + 62 = 4*c. Calculate the remainder when 24 is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8608892465 + 17341.\nAnswer: 8608909806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 5:56 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-24 - -437524)*32*2. Suppose -4*c = 6*c - y. What is c rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/r**(-16)*r)\/r**(1\/3)*r**(-17)*r**(1\/3) assuming r is positive.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 a factor of 201690089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 180 and 144121170?\nAnswer: 864727020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -156 - -157. Find the second derivative of 30*u**2 + z + u - u**4 - 5 - 22*u**2 wrt u.\nAnswer: -12*u**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1, -80, -241, -508, -905, -1456, -2185, -3116?\n\"Answer: -4*k**3 - 17*k**2 + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.219675 rounded to 2 decimal places?\nAnswer: -16.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12855 = -10*q - 4535. Calculate the greatest common factor of 52 and q.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 1\/2, -0.03, 5, 4, -2\/3, 1, 3.5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a hour in minutes?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 8*n**2. Let m(f) = -1459*f**2. What is m(c(o))?\nAnswer: -93376*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 127972698?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -16, 8, 2.\nAnswer: -16, -3, 0, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30971 or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 + 85*p.\nAnswer: 5*p*(p + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 13*t + 2. Let m(x) = x. Let d(b) = 4*m(b) - u(b). Let h be d(-8). List the prime factors of (22\/(-6))\/(h\/(-36)).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 32\/7, -2\/5, -0.6, -0.3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 - -1451?\nAnswer: 1458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3 = 5*m, 0*m - 5 = m - 3*z. Let b(h) = 1. Let q(o) = -o + 2. Let u(g) = m*q(g) - 3*b(g). Let d be (1614\/5918)\/((-15)\/220). What is u(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/10906 and 4\/1539.\nAnswer: 883386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 36*r + 10. Let i be o(3). Let q = i + -1300\/11. Which is the second smallest value? (a) q (b) 0.03 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-768)*6*(-1)\/(-1).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14071.29ug to milligrams.\nAnswer: 14.07129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -802723, -802719, -802715, -802711, -802707?\n\"Answer: 4*c - 802727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.486 - -1.586. Let p = -14 + 13.5. What is the second biggest value in v, p, 1.8, 2?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -12. Suppose u = y, 0 = -3*b - 2*y + 12 + 7. Suppose 0 = 5*d + v + 15074 + 19425, -34496 = b*d + 4*v. What is d rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - l**2 - 1 - 8*l**2 + 7*l**2 + 4*l**2 + (3 - 3 - 2*l)*(-1 + 1 - 2*l).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 3166 - 1496 = 0. Suppose -4*j = -j - g. Let m = j + -301. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 9*y - 44. Let b be u(-4). Solve 0 = b*f - 29 + 45 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v**2 - 3*v - 2. Let x be i(-1). Solve 3*a = m - 8, 0 = -5*m + 4*a - x for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41378265?\nAnswer: 3, 5, 23, 39979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6336\/153871 or 0?\nAnswer: 6336\/153871","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -48 - -53. Let p = 126\/205 + -3\/205. What is the biggest value in -0.3, z, p?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 212\/1113*(-9)\/6.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 487 - 478. Find the common denominator of (-2985)\/270 - 1\/s and -11\/35.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 9.3, 2\/9, 4, 0.7, -5, -0.1, -21?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 + 19\/7)*-7. Suppose -23 = 4*n - 5*d, -2*n + 3*d - 5*d = -o. Let l be n\/4 + (-279999)\/2. Round l to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -114599\nAnswer: -114593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27*q**6 - 16*q**5 + q**3 + 90*q**2 - 7 wrt q.\nAnswer: 3240*q**3 - 960*q**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.18 - 0.11. Let m = z - 0.27. What is m rounded to zero decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.450285 milligrams to nanograms.\nAnswer: 4450285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/(d\/d**(1\/3)))**(-2\/3))**(-24\/11))**(-3\/13))**(-9\/11) assuming d is positive.\nAnswer: d**(144\/1573)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*q**2)*(-2 - 2*q**3 + 2) - 2*q**5 - 3*q**5 + 0*q**5 + (-q + 3*q - q)*(196*q**4 + 50*q**2 + 211*q**4 - 1 - 405*q**4).\nAnswer: q**5 + 50*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1532773, -1532649, -1532525?\nAnswer: -1532401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/(-114) - 20\/(-120)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/17 (b) 2 (c) -24 (d) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111010010001 - 1?\nAnswer: -1111010010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 334.2 + -305. Let g = x + -29. Put g, -2, 2\/9 in decreasing order.\nAnswer: 2\/9, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 10:30 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1026 - 1?\nAnswer: -1027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**(-5\/11)*i)*i**16\/i)\/(i**(-10\/3)*i)**(-34))**(-29) assuming i is positive.\nAnswer: i**(62089\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*x**3 + 2*x - 2*x)*(-3*x - 2*x + 4*x) + (x + 1 - 1)*(0*x**3 - x**3 + 3*x**3) to the form h*x**3 + p*x**2 + z*x + m + n*x**4 and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -172 + 1216\/7. Let r be (-1)\/((-28)\/(-223)) + 1. Let z = c + r. What is the common denominator of z and -56\/5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 196929138?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -4*j**2 + 15*j + j + 5*j**2 + 43. Let m be r(-13). Suppose 4*u = -1 - 3. Sort u, m, -3, 2.\nAnswer: -3, u, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19695 divided by 39?\nAnswer: -505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 627624092 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -5, -11 in descending order.\nAnswer: -5, -7, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003233758875 to 7 decimal places.\nAnswer: -0.0000323","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-225)\/(-27) + -8)*57 + 0.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -3*g**7 - 4*g**3\/3 - 3*g + 13. Find the third derivative of h(p) wrt p.\nAnswer: -2520*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4134, 4130, 4124, 4116, 4106?\n\"Answer: -t**2 - t + 4136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 670.102 centuries to months.\nAnswer: 804122.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 - 183\/5. Which is the biggest value? (a) -2\/15 (b) s (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 22 = -3*q + 6*q, 2*p = q - 64. Suppose 3*v - 4*v = 8. What is the remainder when (p\/v)\/(1\/4) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/2148 and 71\/55316728.\nAnswer: 165950184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8 - 12) + (-12)\/(-2). Solve 3*a + 3*f = -11 + 32, s*f - 20 = -5*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) -354 (c) 0 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.11 + 0.11. Let u = m + 12. Let k = 5.2 - u. What is the smallest value in -1, k, 1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, y: 1, c: 2, e: 4}. What is prob of picking 1 y and 3 w?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (448\/63)\/(410\/1845)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r\/(r**1\/r))*r)**(-9\/7)\/(r\/r**(-7)*r**(-2\/7)) assuming r is positive.\nAnswer: r**(-54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 404693.\nAnswer: 404693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/14)\/(1\/7). Let y(c) = -109*c - 23. Let z(q) = 78*q + 15. Let n(l) = -5*y(l) - 7*z(l). Give n(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(88) + 2*sqrt(88)*-2)\/(sqrt(72)\/(sqrt(9)*-2 - sqrt(9)) - sqrt(8)) + 0)*-3*-3)**2.\nAnswer: 649539\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -35.382 from -29524085.\nAnswer: -29524049.618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103464.\nAnswer: 2, 3, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-10)*3\/(-4))\/((-49240)\/369300)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -17.456 and 7.57265.\nAnswer: -9.88335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j**4 + 6923480*j**3 + 1528*j**2 + 2279*j + 3?\nAnswer: -24*j + 41540880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 80178788 to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 10*o**2 - 159*o - 179. Give n(13).\nAnswer: -556","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -2 - (8 + -5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.098349466 minus 3?\nAnswer: -1.901650534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2706*n - 768*n - 778*n + 2 - 778*n.\nAnswer: 382*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 2*b + 330 = 332, -11983*v = -12001*v - 5*b - 21 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.7 and -0.01346.\nAnswer: -0.022882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1022222022 + 10?\nAnswer: 1022222102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 25 = 4*h. Suppose -3*w = 0, g + h*w - 44 - 176 = 0. Suppose 0 = 3*c + 2*c - 3*v + g, 0 = 4*v + 20. Round c to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -119.11 - -120. Let j = -0.11 - l. Which is the closest to 0? (a) 5 (b) 2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 7. Suppose m*i = 5*a - 33, -4*i + a - 11 = -i. Let y be i\/(-8) - (-1 - 0). Which is smaller: 2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -204, -377, -540, -687, -812, -909?\n\"Answer: a**3 - a**2 - 177*a - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1183 + -1188. Let s(p) = 6*p - 4. Let z(a) = 7*a - 5. Determine v*z(r) + 6*s(r).\nAnswer: r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 13\/(11\/(-6) - -2). Let s(f) = -n*f**2 + 24 - 2*f + 77*f**2 + 3*f. List the prime factors of s(0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - b + 50, 3*z + 15*b = 11*b + 149. Which is bigger: z or 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3876937364.\nAnswer: 2, 16607, 58363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 258 - 258 + 1045*c.\nAnswer: 1045*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 74997 and 31.\nAnswer: 2324907","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 3:30 AM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i**3 + 4*i**2 + i - 2. Let u(y) = -6*y**3 + 13*y**2 + 4*y - 6. Let d(b) = b**3 - 91*b**2 + 83*b + 632. Let n be d(90). What is n*u(o) - 7*j(o)?\nAnswer: 2*o**3 - 2*o**2 + o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 324.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -3*u + 96, 5*o = -3*u - 18 - 166. Which is greater: -33 or o?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/4 + (-1)\/2. What is the remainder when 10 is divided by (2\/6)\/(l\/(-54))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 17*j**2 + 22*j + 9. Let h(d) = 9*d**2 + 10*d + 4. Let l(u) = -9*h(u) + 4*x(u). Let t(n) = -5*n - n + 4*n. What is t(l(w))?\nAnswer: 26*w**2 + 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322735 is divided by 3749.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 12395, 12431, 12465, 12497, 12527, 12555?\n\"Answer: -q**2 + 39*q + 12357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*w + 20447 + 46*w - 88*w - 20447.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 3*m + 5. Let f be v(-4). Suppose -4*d + r + 176 = 0, d + 0*r - 44 = 2*r. Let c = -41 + d. Calculate the highest common divisor of f and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1202180, 2404373, 3606570, 4808771, 6010976?\n\"Answer: 2*w**2 + 1202187*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 39*l + 115 = -4*v - 4*v, 5*v - 14 = -4*l - 129 for v.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-28)\/(-6))\/((-3)\/(-45)). Suppose 5*n - k = -10. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) - sqrt(156)*2)*1)\/((2*sqrt(12) + sqrt(12))*-1) + -2*sqrt(637)*5 + 4*(sqrt(637) - (-1*sqrt(637) - sqrt(637)))**2.\nAnswer: -209*sqrt(13)\/3 + 22932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -20*m. Let r(b) = 68867*b + 23. Calculate p(r(y)).\nAnswer: -1377340*y - 460","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 214606 = v, -69*u + 64*u + 2*v = -536515. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -78676 + 4?\nAnswer: -78672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6753904219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**3 + 12*j**2 - 11*j**2 + 4*j - j + 3*j**2. Calculate z(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 25496024.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3244416 and 6.\nAnswer: 3244416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/3 (b) -1\/7 (c) -2\/59 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 164823 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26583 + 26610. Let n(c) = c**2 - 27*c + 10. Determine n(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 5*n + 12. Let i = 642 + -646. Is n >= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 197*r = -50*r + 741. Solve 0 = -3*c - 2*t + 3, 0*c - 5*t = r*c - 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 379, 375, 371, 367, 363?\n\"Answer: -4*z + 383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4.45 (b) 1\/6 (c) 1101.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 take away -8487391962398?\nAnswer: 8487391962351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j - 6*j + 12*j + 17*j.\nAnswer: 24*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = 14*o - 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 220 - 145. Suppose -20*u - 441 + 461 = 0. What is the lowest common multiple of (-8)\/(-44) + i\/11 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (124\/12)\/(3\/(-270)). Let m = 1960 + s. What is the hundreds digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -10*(-3)\/12 + -2. Let r = 0.4 + -0.4. Let g = 0 + r. What is the nearest to -1\/4 in g, 1, k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 206658*v**4 - 56212*v**2 - 7*v + 19?\nAnswer: 4959792*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of 119*c**4\/12 - 8*c**3\/3 + 34*c**2. Let r be o(2). Find the common denominator of 5\/r*-11 - -1 and -127\/18.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 0. Let x = h - -1. Suppose x = 4*v - 12 - 12. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/15, -56, -0.58, 40?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3684?\nAnswer: 2, 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(4\/9))\/(b*b\/(b**(-6)\/b)*b))\/(b*b**4)**(4\/15) assuming b is positive.\nAnswer: b**(-89\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -87 + 64\/((-1728)\/(-2385))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 797.0345t in grams?\nAnswer: 797034500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 22950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(10\/9)*q\/q**(-21)*q assuming q is positive.\nAnswer: q**(226\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i*i**(-4\/5))*i\/(i**(2\/7)\/i)*i**(-3)*i**0\/i assuming i is positive.\nAnswer: i**(-52\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -4.1, 0.4, 8, 0.15.\nAnswer: -4.1, 0.15, 0.4, 0.5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (2 + sqrt(1331) + -1)*6 + -2)**2.\nAnswer: 924*sqrt(11) + 47965","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of d**5\/420 + d**4\/28 + 4*d**3\/21 + 8*d**2 - 70. Let q(s) be the second derivative of x(s). Find g, given that q(g) = 0.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from ooooopopop.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 66978041*q**5 + 3*q**4 - 721736028*q**2?\nAnswer: 4018682460*q**2 + 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 104625?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of m**4\/2 - 466*m**3\/3 + 410. What is the third derivative of o(y) wrt y?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -113 - 211?\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9421 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: Let p = 0 + -164. Let n = 1825\/11 + p. What is the common denominator of ((-2)\/(-1))\/(6\/23) and n?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -10649, -22559, -34459, -46343, -58205, -70039?\n\"Answer: x**3 - x**2 - 11914*x + 1265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, u: 2, x: 2, t: 2, w: 8}. Give prob of picking 1 t and 1 u.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + 1)**2 + 4.\nAnswer: 8*sqrt(7) + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4085 + 4?\nAnswer: 4100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.818*3.\nAnswer: -2.454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 4 + (1 - 1). Let c be (1 - (-4 - -2)) + (-2044)\/(-15 + -13). Calculate the highest common divisor of c and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jk when two letters picked without replacement from kkkkjkkjjjkkjkjkjjkj.\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1765211 to the power of 1\/2, to the nearest integer?\nAnswer: 1329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -5*j + 2*v, -j - 2*v + 1 = 3. Let a be 3 - (-4 + 4 - 1). Suppose 8*w = a + 76. Solve -4*r - 24 = 4*g, 0 = g - j*r - 9 - w for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/4 in 1, 2, -871?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -435 = -3*j + 4*t, 0 = 4*j - 0*t + 4*t - 552. Suppose 5*b - 5*r - j = 249, 2 = -r. Does 19 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 143 and 11869?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1664429131.\nAnswer: 1664429131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -w - 7, -2*i + 2*w = 6*w + 10. Suppose i*g = 5*f - 615, 4*f + 95 = 5*f + 5*g. Is f a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-124)\/(-24) + -5)\/(5\/(-40))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m**3 - 149*m**2 + 148*m = 0. What is m?\nAnswer: 0, 1, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from {u: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2719786871 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1227908190?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13343\/80 - 828\/5. Find the common denominator of f and -83\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-14)\/21)\/((-4)\/30). Suppose -4*p = b - 8, n*p - p - 8 = 4*b. Solve b*y + y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 443000 and 680?\nAnswer: 7531000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*k + 16133 + 60132 = 0. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 3569261863461.\nAnswer: 3569261863463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/15 and 41\/3875.\nAnswer: 11625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4986)\/(((-6)\/(-16))\/(6\/(-4))). Suppose -u = -8*n + 3*n + 4*c, 0 = -2*c + 8. Suppose n = 7*o + o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 83 + 87. Let y be 2 + (1 - 7) - d\/(-35). Let c = 55 + -221\/4. What is the second biggest value in -9, c, y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-6)*105\/10. Solve 5 = 3*y - 3*v + 2*v, -x = -2*y - 2*v for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 8:08 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -186.\nAnswer: 5\/186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 574226.8 centuries?\nAnswer: 5742268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*a + 0*a + 6*a - 3*a + a + 3*a + (-5 + 2 + 5)*(1 - 1 + 3*a) + (5 - 5 - 2)*(a + 2*a - 5*a) + 1 - 2*a - 1 to s*a + f and give s.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (199 + 1321 - 90 + 1153)*(-2*t + 3*t - 4*t).\nAnswer: -7749*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -2. Is (12\/g - 4) + 1259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -14434, -28864, -43294, -57724?\n\"Answer: -14430*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -24, 56412 in decreasing order.\nAnswer: 56412, 22, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 106 + 86. Suppose -4*r + 0*n + f = 3*n, 3*r = 3*n + 27. 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 fourty-four fifths of a century in years?\nAnswer: 880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = q + 3*s, -14*q + 4*s = -10*q - 40 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (54 + -32 + -21)*(-6 + 0). Let i(x) = 3*x - 3. Let o(w) = 4*w - 4. Let q(t) = 7*t - 7. Let a(y) = 5*o(y) - 3*q(y). What is f*a(u) - i(u)?\nAnswer: 3*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 5:47 AM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -405*g**2 + 200*g**2 + g + 202*g**2 - 5 to d + w*g**2 + z*g and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 905 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of -53*h**5\/10 + 37*h**3\/3 + 84*h. What is the second derivative of k(m) wrt m?\nAnswer: -636*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**2 - 4*u**3 + u**2 + 5*u**3 - 2*u**3 + 0*u**3 + (-u - 2*u + u)*(-2*u**2 + 2*u**2 - u**2) - 7*u**3 - 12*u - 5*u**3 + 14*u.\nAnswer: -11*u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/69167 and -23\/24582.\nAnswer: 7055034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -27, -27, -23, -15, -3, 13?\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 2 - 2) + 2 + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130 is divided by 46?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, -16, 47, 8, -31 in descending order.\nAnswer: 47, 8, -16, -31, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15 or 822?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-5 + (5 - (7 - 7)) + -22)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 30 = -4*o, -13755*a + 3*o + 25 = -13760*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -40*o + 851. Let f(u) = 32*u - 65. List the prime factors of f(o).\nAnswer: 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 94*j**2 + 126*j - 3017. Determine p(93).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 720.204 kilometers to centimeters.\nAnswer: 72020400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98557?\nAnswer: 67, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -253 - -253.024. What is the smallest value in 0.3, j, 0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -0*r + r. Let v be ((-3)\/(-4) - 0)*4\/1. Let h be 33\/44*4\/v. Put 5, r, -4, h in descending order.\nAnswer: 5, r, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + 2*d**2 - 4*d**2)*(75624*d**2 - 75624*d**2 + 201*d**3).\nAnswer: -603*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 813a40 (base 13) to base 15.\nAnswer: 3e6078","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a + 1. Suppose -54*n + 355 = 31. What is y(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 41, 43, 55, 83, 133?\n\"Answer: g**3 - g**2 - 2*g + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -7*u**4\/4 + 8*u**3\/3 + 11*u**2\/2 + 102*u. Let l(b) = -4*b**2 + 3*b + 2. Determine -2*g(k) + 11*l(k).\nAnswer: -2*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -472, -945, -1416, -1885?\n\"Answer: b**2 - 476*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5275266873 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3168*b - 4048*b + 3333 - 3333.\nAnswer: -7216*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7\/(5\/(7 - 2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*h + 0 - 1\/3*h**4 + 25*h**2 - 22\/3*h**3.\nAnswer: -h**2*(h - 3)*(h + 25)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -32*a**3 + 11*a**2 - 2*a. Let s = -1030 + 1035. Let p(q) = 21*q**3 - 7*q**2 + q. Determine s*i(u) + 8*p(u).\nAnswer: 8*u**3 - u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (252\/30)\/(1674\/1395).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t\/((t\/((t**(1\/3)\/t)\/t)*t)\/t))*t*t)**21\/(t**(-5\/2)*t*t**(5\/2)\/t) assuming t is positive.\nAnswer: t**119","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-4)*(-1 + -4 + 3).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3*n + 50*n**2 + 54*n**2 - 102*n**2 + 3. Suppose -4*u + 8 = -q + 3*q, u = 0. Determine a(q).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1209580 is divided by 402922?\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2568248 to the power of 1\/3, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 9, a: 3, m: 3, u: 2}. Give prob of picking 1 b and 3 m.\nAnswer: 9\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15676954?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (179 - 179 + 45*h)*(-2*h + 4*h**2 - 2*h**2 - 4*h**2).\nAnswer: -90*h**3 - 90*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a + 8. Let i be n(6). Suppose 2*h + 6 = 2*r, -i*h - 8 = -3*r + 3. Find the third derivative of 2*x**3 - 10*x**2 - 9*x**h + 16*x**2 wrt x.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 260, 999?\nAnswer: 260","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10845\/(-2892))\/(4\/48).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42189589.\nAnswer: 13, 1609, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Put -14, 2\/19, 70\/3 in descending order.\nAnswer: 70\/3, 2\/19, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000 (base 3) to base 9.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -295 divided by -5?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 - 20 + 149)*(0 - 2*o + 0)*(-3 - 1 + 2).\nAnswer: 620*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 4:59 PM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -3*r - p, 0*p + 4*p = -r - 4 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111021200021 (base 3) to base 16.\nAnswer: -3fd63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1740040 is divided by 2793.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/47908 and 65\/4956.\nAnswer: 143724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 17 = -5*a, -6*y - 4*a = -2*y - 36. Suppose 2842 = 7*q + y*q. List the prime factors of q.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131724419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - (3 - (4 + -2))) + -3052 + 3005?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(-55)*23\/(69\/6)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, -231, -1036, -2669, -5406?\nAnswer: -9523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-2))\/(0 - 1). Let o(n) = 2*n - 3. Let a be o(h). Calculate the remainder when 44 + a\/(2\/4) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 5*5*sqrt(275)*-2 + (1*sqrt(275)*2 - sqrt(275)*-2*5))**2.\nAnswer: -760*sqrt(11) + 397104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of -x**5\/60 - 5*x**4\/24 - 2*x**3\/3 - 2*x**2. Let m be u(-4). Suppose -l + 9 = 5*w - 30, -w - 3*l + 5 = m. Is 3 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 11:39 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 2\/9 (b) -0.26 (c) 2\/21 (d) -3 (e) 139\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -13, 21, 53, 83?\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5*(-1 + sqrt(1900)*2 - sqrt(1900))**2*-5 + 1) + -3.\nAnswer: -1000*sqrt(19) + 95045","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(-2)*((-2232)\/3375)\/(-31). What is the third biggest value in a, 5\/2, 0, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -997*o - 399. Let b(r) = -498*r - 199. Let f(n) = 11*b(n) - 6*l(n). Differentiate f(u) with respect to u.\nAnswer: 504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154.4305 rounded to 0 dps?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-60)\/50*10\/(-3). Let b = 36 - 34. Let i be -1 + (-606)\/(-54) - b\/9. Solve -l = k*l + i for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -7*v - 18. What is the nearest to 3 in 5, v, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-33) + 375\/(-550) - (-58)\/4?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26257?\nAnswer: 7, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, h: 1, e: 3, q: 1, f: 3, z: 1}. What is prob of picking 1 e and 1 q?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -533*c - 32*c**3 + 7*c**3 + 533*c.\nAnswer: -25*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26577083.0242209 - 5.\nAnswer: 26577078.0242209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from phaphaphwphahaaa.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z. Let t be f(2). Suppose 0 = -t*r + r + 13. Let n(h) = -h**2 - 14*h - 14. Let i be n(-10). What is the greatest common factor of i and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 11:29 AM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-15) + (-9)\/(-5). Suppose l = 4*s - 18. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of 3*u**2\/2 + 22608*u - 22. Let w be n(0). Is w\/28 + (-6)\/14 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/87344 and 69\/248.\nAnswer: 2707664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 divided by 2604.\nAnswer: -25\/2604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17029\/42 - 406. Let w = 169599\/14 + -12109. Calculate the common denominator of p and w.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/sqrt(4) + -5 + sqrt(7) + (sqrt(7) + -1)*-6)**2 - (-6*(sqrt(7) + -1) + -1).\nAnswer: -2*sqrt(7) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -73, -306, -943, -2188?\nAnswer: -4245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154*o**2 - 104*o**2 - 118*o**2.\nAnswer: -68*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 609521534?\nAnswer: 2, 304760767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3118 (base 9) in base 2?\nAnswer: -100011101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10897464 is divided by 10897431.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*a**2 + 6*a**2 - a**4 + (-13*a**3 + 16*a**3 + 5*a**3)*(-2*a + 4 - 4).\nAnswer: -17*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*d + 26*d + 10 = 0. Suppose 0*a - 2*a - 832 = -4*s, 6 = -3*a. Suppose 3*y = d*j - s, -5*j + 529 = -0*j + 4*y. Does 21 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4315?\nAnswer: 5, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 7*o + 4*f = 796, 433 = 2*o - 5*f. Calculate the smallest common multiple of 340 and o.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 8 + 3)*(h - h + 3*h).\nAnswer: -21*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1466?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - 16. Suppose -25 + 4 = -5*c + 2*h, -3*h = s*c - 21. Does 3 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mxxm when four letters picked without replacement from mxmmmxm?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**3 + 491613*y**2 + 1966416*y + 1966404 = 0. Calculate y.\nAnswer: -163867, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 2*b, 3*f - 31 = -4*b - b. Suppose 0 = f*q + 4*q - 24. Calculate the highest common divisor of q and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1934 (b) -0.3 (c) -19824 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3593?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of 2*f**3\/3 - 8*f**2 + 16*f - 25. Let n(m) be the first derivative of p(m). Let l be n(5). Which is smaller: 6 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(1 - 1)\/1. Suppose -6*p + 9 - 3 = r. Let a(l) = -l + 3. Let i(b) = -b + 5. Let o(c) = -8*a(c) + 5*i(c). Give o(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of 0*h + 3 + 7\/48*h**6 + 0*h**3 + 0*h**2 - 1\/8*h**4 + 3\/10*h**5. Factor v(q).\nAnswer: q**3*(q + 2)*(7*q - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49656, -49694, -49732, -49770?\nAnswer: -49808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 - 33\/9)*3*1. Let a be 7 - 0\/(o - -2). What is the highest common divisor of a and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2)*(1 - 5*p + 2*p + 5).\nAnswer: -3*p + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/5*(-990)\/(-550))\/(6\/40).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gjj when three letters picked without replacement from llljlgllgjl.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 7*d - 2. Let a be (24\/20)\/(2\/(-10)). Let t be f(a). Solve -9 - 3 = t*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 1:01 PM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000019450444 rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c - 2. Let h be g(4). Let w be (0 - 1) + -2 + 1. Let j be (-16)\/(-24)*(-9)\/w. Sort h, j, -0.1 in increasing order.\nAnswer: -0.1, h, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 314, 1 in ascending order.\nAnswer: 1, 22, 314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 10956, 21868, 32780, 43692, 54604?\n\"Answer: 10912*l + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 3\/2, -75\/8, 1008?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -91 - 1023*v + 91 in the form u + w*v and give w.\nAnswer: -1023","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*64\/(-56)*56\/(-16).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -698 - 142 = -21*n. Suppose 0 = 9*z - 14*z + n. Calculate the lowest common multiple of z and (-13)\/(-3) + 3\/(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*c = 74*c - 1045. Let a be (-14 + c\/(-22))*(-76)\/6. Calculate the greatest common factor of 209 and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -919308, -1838629, -2757950, -3677271?\n\"Answer: -919321*d + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -s + 222 - 202, 0 = 4*x - s - 40 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -153\/37 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (8 - 3 - -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.2343732 milligrams?\nAnswer: 0.0000000002343732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 - 3*s**2 + 4*s**2)*(23 + 41 + 3).\nAnswer: 67*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1582388 divided by -395597\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 372.3.\nAnswer: 372.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 - 9 + 15)*(-3 + 3 + 2*s) to the form u*s + y and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 94 - 83. Suppose z + 3 = j. Solve 6*u = 2*u - z for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30.6 - 518.4. Let k = v + 549.7. Which is the smallest value? (a) 1 (b) k (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 6*m**2 - 102*m + 474. Determine g(10).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence he when two letters picked without replacement from {e: 1, h: 1, m: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 115 + -129. Is -14 greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*o - 7296 + 8290 = -7257 - 8999 for o.\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/10*(-200)\/(-4). Suppose x - 3*z - q = 0, -32 + 2 = -x + 5*z. Let h(r) = 2*r + 1. Let b be h(5). What is the greatest common factor of b and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (2 - (-10 - -7)) - (-2 - 2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 3*m - 3114 + 30171, -z + 13524 = -3*m. Calculate the highest common factor of 39 and z.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wgwnkwkw. What is prob of sequence gkk?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*l - 5*l - 312. Let t(s) = 6*s + 28*s - l*s. Let u(p) = 19*p**2. What is t(u(v))?\nAnswer: 190*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -8 + (6 - 4) + 7. Let k = -685 - -4810\/7. Which is smaller: k or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((1 + sqrt(128) + 4 + (4*(sqrt(128) + (sqrt(128) + 0 - sqrt(128))) - sqrt(128)) + -1)**2 + -3 + -3).\nAnswer: 1024*sqrt(2) + 8232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1104 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -297 (base 11) to base 8.\nAnswer: -534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-117*r - 4*r + 6*r)*(-3*r + 3*r - 2*r)*(0*r - 2*r + 3*r).\nAnswer: 230*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -204004 divided by -51001\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7160839?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v**2 - 3*v - 3. Let f be i(-2). Suppose 5*h = 13 - 3. Let m be (h*-1)\/(-5*(-2 - -1)). Which is the nearest to 2? (a) 1\/3 (b) f (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80356.51 nanometers in centimeters?\nAnswer: 0.008035651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5322578?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 117303?\nAnswer: -117306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*f - 0. Let h(y) = -y**2 + 3*y - 1. Let t = 0 + 2. Let m be h(t). Is m <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/(-18)*7\/14. Let p = 2.2 - 1.81. Let k = p - -0.01. Which is the nearest to h? (a) -2\/13 (b) k (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1939, 116, 7 in ascending order.\nAnswer: -1, 7, 116, 1939","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 n when four letters picked without replacement from {n: 4, j: 7}?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 6*n**2 - 5912*n + 298226. Determine f(932).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -53357, -106705, -160045, -213377?\n\"Answer: 4*l**2 - 53360*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0 (b) 28 (c) 109 (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 AM and 2:53 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216011 is divided by 71987.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 13434.\nAnswer: 13434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17873?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/551 in 2\/9, 34, 1\/4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 248539943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + k - 6. Let i be s(0). Let r = 4 + i. Let u = r - -23. Solve c - 3*v + 2 = 0, 3*c + 3 - u = -3*v for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d + 1276*d**2 - 1284*d**2 + 16 + 55 in the form f + g*d + l*d**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*(4\/2 + -1). Suppose 0 = 3*q + 2*q - 10. Let v(h) = -94 - 3*h + q*h + 92 + 2*h**2. Calculate v(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (33184\/(-16))\/(-34)*5*(-4)\/(-20)\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/5 (b) 3 (c) 15.339 (d) -3\/4 (e) 1\/3 (f) 0 (g) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 14 = -20 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 7837929?\nAnswer: 3918964.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*n**5*r - 2*n**5 - 4*n**3*r - 141*n**2*r wrt n.\nAnswer: -420*n**2*r - 120*n**2 - 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -642 + 65. Let q = 828 + a. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 362850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/26? (a) 8257 (b) -0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*u - 5*n, -3*u + 5*n = 3*n - 10 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18196151 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i**5\/2 + 112*i**4 - 453*i**3\/2 - 112*i**2 + 226*i = 0. What is i?\nAnswer: -226, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -5*l + 3 - 1 + 13*l - 4*l + 3*l**2. Let w = -21 + 19. Determine u(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -g**5\/5 - g**2. Let o(y) = 15*y - 1236. Let w(f) = -31*f + 3090. Let l(t) = 5*o(t) + 2*w(t). Determine q(l(s)).\nAnswer: -2028*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50338, -100700, -151094, -201532, -252026, -302588, -353230?\nAnswer: -403964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -33. Solve m + s = 3*p, -7 - 11 = -3*p + 3*m for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3953 and 8673.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 3*m**2 + 6504*m - 164475 = 0.\nAnswer: -2193, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of -17*z**4\/3 - 36*z**2 + 4*z + 9. Differentiate t(m) wrt m.\nAnswer: -136*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**3 - c**2 - 8*c - 57. List the prime factors of u(8).\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/56 and -3\/2524.\nAnswer: 35336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/26631 and -37\/539.\nAnswer: 1304919","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26673 - -44827. Suppose 33*u - 4*u - d = 0. What is the hundreds digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -143 (base 11) in base 4?\nAnswer: -2220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 156*u - 37578. Give y(-287).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 155743 and 1218?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of -z**6\/120 + z**5\/60 + 7*z**3\/6 - 640*z**2. Let l be (-1 + 5)\/(-3 - -2). Let r(d) = -d - 4. Let u be r(l). What is w(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -298 + 599. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-17) + 222\/(-714) + (-24)\/42. What is the second smallest value in c, 256, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -272 - -16?\nAnswer: -258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 113 + -2 - (-665409)\/(-6476).\nAnswer: 33\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that a**4 - 1849*a**3 - 3*a**2 + 5549*a - 3698 = 0.\nAnswer: -2, 1, 1849","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(208)*-3 + sqrt(208) + (-4 + sqrt(208) + 2)**2 + 4*1*sqrt(208)*5*2.\nAnswer: 209 + 136*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*q + 31*q - 630 = 0. Solve -2*d - 2 = 3*s - 4*s, -2*d + q = -3*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - a - a**2)*(-2*a - 3*a + 7*a) + 4*a**3 - 3*a**3 - 2*a**3 + (1008*a + 21*a**2 - 1008*a)*(-2*a + 6*a - a).\nAnswer: 60*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of -d**8\/20160 - d**5\/30 - d**2. Let y(t) be the third derivative of f(t). Let v(r) = 9*r. Determine v(y(j)).\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.018 - -1.018. What is the biggest value in 5, q, -1\/14?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-6) - (3\/1 - 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -o - 3*o - 5 - 1 + 2 + o - 2 + (-3 + 5 - 4)*(-5*o + 5*o + 2*o) in the form i*o + p and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5233.8 + -5233. Which is the closest to p? (a) 0 (b) 4 (c) 5 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 472429 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 10*z = 60. Suppose 73*q - 492 = -3*o + 75*q, 0 = -z*q. What are the prime factors of o?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-10)*w*w*w*w\/w**(-1\/25) assuming w is positive.\nAnswer: w**(-149\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/25)*l*l**(-3\/7) assuming l is positive.\nAnswer: l**(86\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 34978420 to the nearest 1000000.\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000110011 + 10?\nAnswer: -1000110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5381081 or -5381041?\nAnswer: -5381041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (3 + 6 + 19 + -21)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/8)\/((-3)\/12). Calculate the smallest common multiple of (-2 - 12\/s)*1 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -1044*z + 88741. Give f(85).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 5*d - 38 = 0, 42*p + 100 = 47*p + d. Solve -2*o + v + 2 = 1, -p = 8*o + v for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + (-3 - 0 - -4). Suppose -k*p = -8*p + 270. Is 18 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j**4*r + 19*j**3*r**3 + 3*j**3 + j**2 - 8*j*r**3 + 25*j wrt j?\nAnswer: -24*j*r + 114*r**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3*t = 459, 41 - 190 = -u - 3*t. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18.989 - 19. Let t = f - -0.011. Let i = -2 - 0. Which is the nearest to i? (a) 3 (b) t (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -334738?\nAnswer: 334740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5752402 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2317 * -4.\nAnswer: 9268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52 and 338?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -12. Let y(t) = -19*t - 2. Let k be y(z). Is k + -6 + -2*1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0306989 - 0.5.\nAnswer: -0.5306989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5\/3 (b) -1.7 (c) 0.4 (d) 245 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -161\/580 + 4\/145. What is the smallest value in -12, -0.9, s, -2\/9?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15942*v + 897 = -15981*v for v.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 109 divided by 3?\nAnswer: 109\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 4) to base 7\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-68)*-3*(-4)\/3\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by 20\/3*15\/10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7400.770501 to the nearest one hundred.\nAnswer: 7400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 112 - 110. Solve -3*s = -5*s + 2*k + 14, -r*k + 16 = 4*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48 - 33. Suppose 0*v = -5*v + d. Solve a + v*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12.12754 + 68\nAnswer: 80.12754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1338281?\nAnswer: 7, 41, 4663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 358497983?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 7.143, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 572 and 1276?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38030398 is divided by 192.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.9 - -8.8. Let v = 388\/7 + -5058\/91. What is the closest to -0.1 in r, 3, v?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 0 - -7) + 128 + -133.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - 8*n + 2. Let x be u(9). Calculate the highest common divisor of 1 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*i = 777 - 16 + 247 for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -84*a + 1077. Calculate k(14).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5*-4*4\/(-40). Let b(g) be the second derivative of -1\/6*g**4 + 0 + g + 2\/3*g**3 - g**d. Let b(a) = 0. What is a?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 94 - 100. Let v(m) = -2*m - 10. Let w be v(-10). Is ((-16)\/u + -1)\/(w\/3030) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/6 - (-24)\/(-27). Let j = 0.695 - 0.295. What is the smallest value in j, 1\/6, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -197599 equal to -197572?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1966 + -1902. Solve -61*t + d*t + 9 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2 (b) 0.0244 (c) -0.1 (d) 1\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) -5080 (c) 0.3 (d) -1 (e) -3 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67 + 15 + 64 + 2*y + 13.\nAnswer: 2*y + 159","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (614\/(-6))\/(52\/(-12) - -4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 3 - (-367 + 359)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 11 - 23 = 0. Suppose -h = y, 29 = 3*x - 6*h + h. Suppose k = -3*s + x*k + 1800006, s + 5*k = 599985. Round s to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 83*n**2 + 63*n**2 - 33*n + 81*n**2 - 20 - 229*n**2. What is u(-16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363) + sqrt(363)*-2 + 0)*-1 - (sqrt(363) + (sqrt(363) - -2*sqrt(363)*-3 - sqrt(363)))*4)**2.\nAnswer: 160083","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3689 - 5\nAnswer: 3684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.094894 less than 8?\nAnswer: 7.905106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2872)\/35900 - (4\/(-10) - 191\/(-675))?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 39*g**5 + 8*g**4 + 37*g**5 - 7*g - 8*g**2 + 6*g**3 - 75*g**5 = 0.\nAnswer: -7, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61027328 rounded to the nearest 100000?\nAnswer: -61000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of -575*x**6\/2 - 2*x**2 + 121*x + 2579. What is the second derivative of o(p) wrt p?\nAnswer: -34500*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) - (((2 + sqrt(99))*2 + sqrt(99) + sqrt(99))**2 + sqrt(99))) + -3*(sqrt(99)*1 + sqrt(99)) + -5.\nAnswer: -1605 - 114*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4896043 milligrams to tonnes.\nAnswer: 0.0000000004896043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -4777*n. Let y(g) = -g. What is 2*h(i) - 102*y(i)?\nAnswer: -9452*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6746.9 less than 0.0691?\nAnswer: -6746.8309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*a**2 - 5 + 5)*(4*a**3 - 12*a**3 - 9*a**2 + 10*a**3).\nAnswer: 42*a**5 - 189*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 5, 2, -12, -2, 5620.\nAnswer: -12, -2, 2, 5, 7, 5620","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 736 is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 2:06 PM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -1216*y - 99500. What is r(-82)?\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6099138 weeks to hours.\nAnswer: 102.4655184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 174 - 4352\/25. Let t = 139368 - 139358. What is the third smallest value in 2\/21, t, q?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)\/(sqrt(12)*1) + -4)**2.\nAnswer: -8*sqrt(19) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32564 is divided by 6235.\nAnswer: 1389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2501236521975 - 1.\nAnswer: 2501236521974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - 4*o + 6*o)*(5*o**4 + 6*o**4 - 3*o**4 + (4*o**3 + 8*o**3 + 3*o**3)*(-o + 0*o - 2*o)).\nAnswer: -74*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 706 by 2.\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93757, 187096, 280461, 373864, 467317, 560832, 654421, 748096?\nAnswer: 841869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 9*u**3 + u - 1. What is k(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + 6*l + 9. Let q be a(-7). What is the third derivative of 3*b**4 - 17*b**2 + b**4 + q*b**2 wrt b?\nAnswer: 96*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14\/63 - (-97)\/9. Suppose 2*b - b = i. Is 10 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*i + 625 + 575. Solve 0 = -3*c + m - 6*m - 5, -4*c + i = -5*m for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 3*g + 6, 3*g = -87*y + 83*y - 6. Let t = -7 + 5. Let a be ((-2 - -5) + t)\/(-1). Is y greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 8:27 PM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l + 19. Is 15 a factor of m(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14502 (base 8) to base 15.\nAnswer: -1db1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/11 - 318*s\/11 + 320\/11.\nAnswer: -2*(s - 1)*(s + 160)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39 - 43. What is the closest to 1 in 3, -0.1, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(98) - (-5 + (sqrt(98) + 1)**2)) + -5*(sqrt(98) + 1) + (-5*sqrt(98)*-2*-3)**2 + 4.\nAnswer: -42*sqrt(2) + 88101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 20 - 2. Let s be 0 - (y\/(-1))\/(-1). What are the prime factors of 32 + s\/4*2?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 3*l. Let g be 5*(3 - 511\/175). Which is the nearest to 0? (a) 0.2 (b) l (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 1:48 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 343*w**2. Let i(t) = -83*t + 5846. What is i(r(o))?\nAnswer: -28469*o**2 + 5846","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 6*n - 5. Let z(t) = 15*t - 18. Let q(k) = -k - 2. Let p(u) = -2*q(u) + z(u). Calculate -11*d(y) + 4*p(y).\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k - 4. Let i be s(-7). Suppose -i*z + 4 = 4*f, -f = -z + 2*f + 10. Solve 5*n + 4 = -2*j, 5*n - 1 - 1 = -z*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/3)\/((z**(5\/2)\/z)\/z))\/(z\/(z**0*z)*z*z**(1\/3)))**(1\/14) assuming z is positive.\nAnswer: z**(-3\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 10 = -2*s, 4*f + 25 = 2*s + 3*s. Let v be 8\/s - (7 - 5). Let d = -56 - -57. Which is smaller: v or d?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39453839, -78907674, -118361509, -157815344?\nAnswer: -197269179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 749 - 789*v**3 + 21*v + 23*v - 244 - 43*v + 606 wrt v.\nAnswer: -2367*v**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 3*t + 25, -4*h + 8 = -0*h for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 40, -172, -6, -1 in increasing order.\nAnswer: -172, -6, -1, 19, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 839377 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 j be 2\/(-6) + (-1360)\/(-264) + -5. Which is the fourth biggest value? (a) -1\/5 (b) j (c) -2\/7 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = k - 0*m - 131, -5*k - 2*m = -652. Suppose 3*z - k = 158. Let w be 4\/(-6) + z\/9. Solve 8*d + w = 3*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/(-45) - (-22)\/(-18). Let y = 1 - u. Which is the second smallest value? (a) y (b) -2\/3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/3)\/(5\/(-15)) + 13. What is the highest common factor of w and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -34*m - 655*m - 110*m + m - 3*m + 4*m + (0*m + 0*m + m)*(0 - 1 + 0).\nAnswer: -798*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65480575 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -6*r + 41. Let w be (2\/(-2) - 0)\/(-1) + r. Solve 0*c - w = -4*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133*g**2 + 2 - 2 - 138*g**2 - 15*g = 0. What is g?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/6)\/((-3)\/(-9)). Let c(b) = 2*b + 9. Let p(z) = 3*z + 17. Let t(r) = -7*c(r) + 4*p(r). Let m be t(4). Sort f, 5, m in ascending order.\nAnswer: m, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y - 4. Let q be i(-10). Suppose q = 2*c + 2*c. Suppose 0 = -c*n + 10 + 6. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 173 = -7*q, -1178*r = 5*q - 1182*r - 127 for q.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -282.16 minus 3?\nAnswer: -285.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18301 is divided by 632.\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4271.2214 * 1.\nAnswer: 4271.2214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -224780328 by -18.\nAnswer: 12487796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*u + 5 = 137*u, 4*d - 4*u = 60552. List the prime factors of d.\nAnswer: 19, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13410*y**2 + 28042 wrt y?\nAnswer: 26820*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of -5*p**4\/24 - p**3\/3 - 157*p**2. Let b = 16 - 18. Calculate f(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 491*s + 93*s - 156*s + 331*s.\nAnswer: 759*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 14*t**2 - 14*t + 21. Let n be c(-15). Let p = n + 0. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/75, -0.1, -3\/8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*l**2 - 961*l**4 - l + 203*l**3 + 962*l**4 - 1 + 6*l**2 to u*l**3 + h*l**4 + t + y*l**2 + r*l and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 34015460?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41570 = -3*v - v + 2*u, 2*v + 2*u - 20776 = 0. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 7*d**2 - 8*d. What is h(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10575 and 3924?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31686 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a decade in years?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30049?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 211514 (base 7) to base 3\nAnswer: 1212020002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000252054 to five decimal places.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25660 by 195.\nAnswer: 5132\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.9, -5\/8, -2 in increasing order.\nAnswer: -2, -0.9, -5\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 5:43 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 153111, -32, 1\/3 in ascending order.\nAnswer: -32, 1\/3, 153111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8275*u**4 - u**2 - 2*u + 1422.\nAnswer: 198600*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 + 7*j + 5. Let s be u(7). Suppose -10 = -0*k - s*k. Let h be 96\/198 - k\/3. Which is greater: -2\/3 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 16 = -1. Suppose 0 = -4*c - 3*n + 28, 9 = 5*c + n - 15. Let j = 2 + -2. Solve j = -3*t + c*t + v for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/((2\/(-5))\/(70\/175)) - -17. Calculate the greatest common divisor of 8484 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6*d + 2*d + 2*d)*(5 - 2 - 1) + 2*d + d - d)*(-1561 - 1407 - 864).\nAnswer: 7664*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -713224 or -713149?\nAnswer: -713224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of 5*t**3\/6 - 7*t**2\/2 - 3*t. Let s be l(7). Suppose -5*b + 17 = -18. What is the highest common factor of b and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 195.8 - 197.7936. Let x = d + 2. Round x to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/3, -5, 343\/2, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 2*y**2 - y - 1. Let d be -15 + 6 + 8 + 2. Let k(s) = -6*s**3 + 4*s**2 + 16*s - 9. Let n(a) = d*k(a) - 3*i(a). Solve n(h) = 0.\nAnswer: -3, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2 + sqrt(171) + -1 + sqrt(171) + -4 + -1)*5 + -3)**2.\nAnswer: -5160*sqrt(19) + 70249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 20875587 to the nearest 10000.\nAnswer: 20880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 102437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*q + 3*q + 17*q)*(2 + 0 + 3) to the form l*q + t and give l.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5b2b - 265?\nAnswer: -6093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 624448.8ng to kilograms.\nAnswer: 0.0000006244488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.5 + 0.4. Let k = -1.1 + 1.2. Which is the closest to k? (a) h (b) -0.3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(11) - (-4*sqrt(891) - sqrt(891))**2) - (sqrt(132)*-3 - sqrt(132) - sqrt(132))\/sqrt(12)*-4.\nAnswer: -23*sqrt(11) + 66825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express y + 23*y + 641*y as o*y + m and give o.\nAnswer: 665","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3 + p + 4*p - 3*p - 3*p. Let j be 2\/(-3) + 160\/(-30). Give r(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 plus 345.7?\nAnswer: 435.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 506282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j + 21 = 21. Suppose -3*q + 771 = 5*t - 539, 4*q - 20 = j. Suppose 0 = 3*f - 149 - t. What are the prime factors of f?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/9)\/r)**2)**43\/((r*r**(-2\/5))**(22\/7)\/(r**(2\/5))**(-21)) assuming r is positive.\nAnswer: r**(-4862\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -5*r + 3*t - 60, -2*r - 16 = 2*t. Let v be (8\/r)\/(4\/(-30)). Solve -2 = -2*l, -v*n - 2*l - 2 = -4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, o: 7, j: 2, b: 5, u: 1, z: 4}. What is prob of sequence ub?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -26b9b + 2b?\nAnswer: -26b70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -14150*u + 14143. Calculate s(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**8*k**7\/k*k*k**(-5\/2)\/k**(1\/6) assuming k is positive.\nAnswer: k**(37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 16*0.5\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 + -13. Sort 2, r, -1 in decreasing order.\nAnswer: r, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 27 = 4*r - 2*h, 2*h = -6. Let q = 9 + r. What is the common denominator of 45\/4 and 2 + q + (-44)\/(-20)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -123*l - 5*l + 351 + 33. Solve l*y + 4*a + 13 = 0, 0 = -4*y - 45*a + 44*a for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*l = 2675 - 8534. Let z = l - 219. Sort z, -29, 4 in increasing order.\nAnswer: -29, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - 29. Let z = -5 - m. Let b = 15 - z. What is the remainder when b is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -88. Suppose 2*o + 86 = 4*u, -4*o - h = 2*u - 5*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s + 9. Let f be h(9). Suppose 5*t - 3*t - 32 = f. Suppose 0 = -4*u + x + 2 + 14, -4*u + 4*x + t = 0. What is the closest to 0.1 in -1\/6, u, 1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -9 (b) -3\/4 (c) -8\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*t**3 + 3*t**3 - t**4)*((-3 + 2 + 2)*(-1 - 2 + 0) + 52 + 124 - 92 + 123) in the form z*t**3 + x*t**4 + g*t + c*t**2 + j and give x.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -793, -5 in descending order.\nAnswer: -5, -10, -793","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 12. Let q = -4.6 + z. Which is the biggest value? (a) q (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2240833660?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61227272?\nAnswer: 2, 19, 229, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2200) - (sqrt(2200) + (sqrt(2200) + (sqrt(2200) - -5*sqrt(2200)))*-4))\/((sqrt(144)\/sqrt(8) + sqrt(18))\/sqrt(9)*6))**2.\nAnswer: 53900\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.35 + 2.95. Which is the closest to 0.09? (a) -18 (b) 2\/9 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1309 = -1331?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3049.9995481 - -3050. Round c to five decimal places.\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 703423 is divided by 578?\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/54 - ((-21)\/27 + 1). Put -70, t, -4, -2 in increasing order.\nAnswer: -70, -4, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*d**2 + 61*d**2 + 80*d**2 + 13*d**2.\nAnswer: 111*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4 - 2333*f**3 + 9343*f**2 - 11683*f + 4674.\nAnswer: -(f - 2)*(f - 1)**2*(f + 2337)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*y - 2*y - 3*y)*(4*y - 3*y - 2*y) + y**2 - y**2 + 4*y**2 + (-1 - 9 + 0)*(-2*y**2 + 2 - 2) as n*y + r*y**2 + s and give r.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12080)\/151)\/(-1120)*2002?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - r + 5 = 0, 4*m - 5*r = -1735 + 1738 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/(-3) - 6)\/(((-12)\/(-10))\/((-38)\/95)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 7*w**2 + 95*w + 17. Let u(t) = 5*t**2 + 74*t + 18. Let f(y) = -3*l(y) + 4*u(y). Give f(13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 0. Let w = -3348 - -3350. Let q = -33 - -35. Solve -j - q*j + 6 = o*f, -j + w = -2*f for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 25, 861, 0.2, -89?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**3 + 311*s - 15*s**2 - 2 + 3*s**3 - 296*s - 4. Suppose -y - 84 = -4*y. Calculate the remainder when y is divided by z(14).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 6*d**2 + 218*d - 71728. Determine z(-129).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -60 - 42. Calculate the remainder when 65 is divided by z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pg when two letters picked without replacement from gggpgpggggdpgr?\nAnswer: 27\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - 13515?\nAnswer: -13512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 1:40 AM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-21)\/(-7) + (-5 - -2) + 15. Calculate the common denominator of (1\/w)\/((-30)\/(-1525)) and -57\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2*sqrt(153)*-1 - ((sqrt(153) - sqrt(153)*2)\/sqrt(9) + 4))**2.\nAnswer: 40*sqrt(17) + 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112863 is divided by 51.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 2446845, -0.1, 5, -3 in ascending order.\nAnswer: -3, -0.1, 2\/7, 5, 2446845","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49\/90 + 1\/18. Are q and 4.84 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 127886, 127844, 127804, 127766, 127730?\n\"Answer: l**2 - 45*l + 127930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*k + 10*k + 5*k + 8*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yg when two letters picked without replacement from yyygygyg?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -7*w**2. Let z(t) be the first derivative of 0*t - 2\/3*t**3 + 0*t**2 - 2. What is j(z(h))?\nAnswer: -28*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -4*f - 13, -3*c + 10 = -2*f - 1. Suppose -2*k + 33 = k + i, -2*i - 33 = -c*k. Suppose -k = g - 15. What is the least common multiple of 34 and g?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 74 = -4*f + 48, -3*f = -5*m - 13. Which is the nearest to 2? (a) 0 (b) -0.3 (c) f (d) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 4 + (6 - 2) + -15?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 1:49 AM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8342232541 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/11? (a) 4 (b) -3 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 103454 and 1196?\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 6:42 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + -6)\/((7 + -3)*-4). Which is the nearest to -0.06? (a) i (b) -24 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -3 - (-23 - -31) - (16 - 15)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*4 + (-1128)\/(-423)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f*p**4 - 11*f*p**2 - p**4 - 48*p**3 - 11*p**2 + 1 wrt p?\nAnswer: 48*f*p - 24*p - 288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 9:20 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(-36))\/z*z**10)\/((z*z\/(((z*z\/(z\/(z\/(z*z**(-8)))))\/z)\/z))\/z*(z**(-20\/3)\/z)\/z) assuming z is positive.\nAnswer: z**(-31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 150623 and 150523 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mbpggmrggb. Give prob of sequence bgg.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3320410000 (base 5) to base 12.\nAnswer: -24b3041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27861 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 5*y - 3 - 8 - y. Suppose c - 17 = -4*j, -c - 5*j + 33 = 13. Does 9 divide z(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59, 115, 171, 227, 283, 339?\nAnswer: 395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 387618183 to the power of 1\/2, to the nearest integer?\nAnswer: 19688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 944614823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101 + 199 - 14*h - 98.\nAnswer: -14*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 1119 = -h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 18 = u + u, -u - 27 = -4*p. Suppose 3*s = 17 + 4. Suppose -3*t + s = -14. What is the least common multiple of p and t?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8927 and 47716.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -636 = 36*m + 408 for m.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/2*2\/(36\/(-2))*1.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnvvnnnnntnnnnvnt. Give prob of picking 2 t.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6440867667?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49 - -11. Let y = h + 4. Let u = -34.4 - y. Which is the second smallest value? (a) 0.06 (b) -4\/9 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 8*v**2 - 25*v - 64. What is p(-10)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/5)\/1*43\/43?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117 = -2*g + 11*c, 0 = -1401*g + 1402*g - 4*c - 24 - 30 for g.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/2 (b) -8 (c) 1\/4 (d) 62 (e) 29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 + -8. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of -h**5\/24 + h**4\/24 - h**3\/2 - 2*h. Let o(l) be the second derivative of q(l). Let f be o(10). Round f to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 45*y**2 + 90*y - 266. What is h(43)?\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-129)\/301*(-63)\/(-3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 11. Let h(w) = -11*w + s*w + 7*w + 4*w. Calculate the remainder when 71 is divided by h(8).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 468974989?\nAnswer: 7, 66996427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/6*2*7. Let b = -4 + z. What is the remainder when 18 is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 300\/27 - 3\/(-27)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7 + 0 - (-10 + 17). Solve 3*v - 4*v - 5 = z for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 111*u**2 + 107*u + 172. Let y be v(112). Sort y, 5, -5, 1\/2.\nAnswer: y, -5, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -231475, -231828, -232181, -232534?\nAnswer: -232887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 196*y**4 + 5*y**2 - 204*y**4 + 3*y**2 wrt y?\nAnswer: -192*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -8*t**2 + 13*t**2 - 20 + 20*t - 6*t**2. What is the tens digit of k(18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9410606mg in tonnes?\nAnswer: 0.0000000009410606","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - 262287280326.\nAnswer: -262287280322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 4306288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241 = -h + 5*d, 0 = 5*h + 3*d - 5*d - 1090. Suppose 7*i = -2*i - h. Calculate the least common multiple of (i\/(-5))\/((-9)\/(-120)*4) and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46514.\nAnswer: 2, 13, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2893693 and -0.054.\nAnswer: 2893692.946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h - 8. Let k be j(-4). Suppose -k*n + 5*n - 18 = 0. Solve 0 = q + 3*q - 2*g - 16, -n = -4*q + 3*g for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x + 1. Let p(a) = -13*a - 4. Let g(h) = -2*p(h) - 7*y(h). Let l be g(-1). Find the third derivative of -l*z**2 + z**3 - z**3 - z**3 wrt z.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3a + a?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 66613143217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*y**3 + 7054381*y**2 - 210826565*y wrt y?\nAnswer: 30*y + 14108762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2645*p + 245989. Determine r(93).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2683?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 979*(6 - (-3 - -8)). Let n = d - 102. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 72*k**2 + 1160*k - 646. Determine s(-47).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pa when two letters picked without replacement from pppppaapaapaa?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3*f + p + 30 = 0, -82 = -5*f - p. Suppose -4*j + 2*j - f = -4*z, 5*z = 4*j + 17. Suppose -j*g + 335 = 3*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 - 44 = -10*s. What is the least common multiple of 10 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 222 (base 4) to base 3\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -539*u = -519*u - 60 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 8:45 PM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (158125\/(-6039))\/(-23) + -1 and 55\/6?\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 44*x**3 + 4758*x**2 + 671*x + 2481. Calculate s(-108).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 5 = d - 3*c, -20 = 5*d - 5*c for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(-2)*d)\/d)\/((d*d**(-5)*d)\/d))\/(d**(1\/5)*d\/d**3) assuming d is positive.\nAnswer: d**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5*f - 73 = 0, 5*f - 101 = -3*g + 4*f. Let p(d) = 3*d**2 - 6*d - 9. Let k be p(-2). Let h = g - k. Solve 10*t - 5*t + 3*l = h, -13 = t - 5*l for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 94.44904 decades?\nAnswer: 11333.8848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-82*w - 83*w + 157*w)*(-w**3 + w**3 + 11*w**4).\nAnswer: -88*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 588.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171648 = -20325*b + 15557*b for b.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -24755 plus -64?\nAnswer: -24819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -91\/4 in 3\/5, -0.3, -131?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -188899*p - 188853. Give s(-1).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 40700 divided by -4\nAnswer: -10175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 339005670 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vsss when four letters picked without replacement from vvvsvvvvvvvvvsvsvv.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*j**4 + 88*j**3*p + 2*j**2*p + 2*j**2 + 50*j*p - 1 wrt j.\nAnswer: -336*j + 528*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (28\/16)\/(714\/19176)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.79 + 5.79001045. Round a to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4335310 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (63\/(-105)*-140 + -2)\/(0 + -2)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29\/93 + 199\/837. Which is the fourth biggest value? (a) -2\/17 (b) 4 (c) s (d) -8\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**3 - 188*s**2 - 181*s + 466. Determine u(-93).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26078111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2647683.\nAnswer: 3, 37, 7951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 69.553 + -29.59. Let k = b + 0.037. Let y = 40.000071 - k. Round y to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -814?\nAnswer: -814","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 101201002?\nAnswer: -101201021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 2*z - 252, 2*z - 4 + 12 = 0. Suppose -3*g + 357 = -0*q - 2*q, g - q - 119 = 0. What is the remainder when g is divided by m?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9.5 - -9. Let w = -161\/5 + 32. Let u = 1\/715 + 1421\/6435. What is the nearest to u in k, -2\/7, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(1\/2))\/(x**2\/x))\/(x\/x**2)**(-12) assuming x is positive.\nAnswer: x**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*c - c + 0*c)*(-7 + 2 + 3) - 7*c + c - 3*c)*(1 + 0 - 3).\nAnswer: 26*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-5) - ((-864)\/(-45) + -18). Let w(k) = -2*k - 41. Give w(q).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a factor of 547685033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -139\/8, -1, -1\/2, -23, -2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -119*u + 116*u + 2*c + 4, 8 = -2*u + 4*c. Solve -t + 6 - 12 = u*r, -4*t = r - 21 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -247*w + 181*w - 172*w as l*w + p and give l.\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0038550283 to 5 decimal places.\nAnswer: -0.00386","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/8 (b) -0.057 (c) -13 (d) 3\/5 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 5*t**2 - t + 8. Let m be b(5). Suppose s = -m*z + 2 - 13, -10 = 4*z - s. Let c(u) = -u. Let v(n) = 3*n. Calculate z*v(l) - 8*c(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7008 and 37104?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 910519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 129, 247, 363, 477, 589?\n\"Answer: -n**2 + 121*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 0 + (sqrt(847) - (0 + sqrt(847))))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12350, 12356, 12364, 12374, 12386, 12400, 12416?\nAnswer: 12434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a year in months?\nAnswer: 147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 34a6141 + 0?\nAnswer: 34a6141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 577 - -2202. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 120 + -106. Let f = j - 18. Which is the second smallest value? (a) 6 (b) -3 (c) -1 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 48*-2*(-3)\/(-12). Let p = k + 46. Suppose 5*t = 48 + p. Is 7 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 115581537 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*d**4*f + 151*d**4*n - 8231*d**3*f*n - 44*d**2*f*n + 4*d**2 - 15*d*f + d*n - 75*d - 4*n wrt d?\nAnswer: 240*d*f + 3624*d*n - 49386*f*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (12\/(-15))\/(5 - (-10308)\/(-2060))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 + (-4 - -7) - -3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 59*z - 192*z + 45*z - 38 + 56*z + 47*z in the form y + x*z and give x.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/191 (b) -0.049 (c) 3 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 11:22 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*q - 55*q = 145*q + 205*q - 16238 for q.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13647, 19898, 26149, 32400, 38651?\nAnswer: 44902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 30.611+-0.0044\nAnswer: 30.6066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -9*b**2 + 11*b**2 + b**2 - 2*b - b**2 + 2. Let p be i(2). What is the tens digit of ((-28)\/12)\/(-7) - (-100)\/p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*x, -2*d + 0*d + x + 65 = 0. Suppose d*w - 49*w + 1876 = 0. Which is greater: 133 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of -j**4\/12 + j**2 + 944. Let c(d) = 2*d**2 + 2195*d + 2. What is c(f(r))?\nAnswer: 8*r**2 - 4390*r + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 3*n**3\/5 + 9*n**2 - 15*n - 225 = 0.\nAnswer: -15, -5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2272)\/1278 - 1805\/(-990)?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of c**6\/120 - c**5\/6 + c**3\/2 + 47*c**2. Let v be g(10). Suppose -4*m + 69 = 2*y - 23, 2*y = -v*m + 92. Is 7 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (20 - 16)*6\/4. Let b = 1 + 8. Let m = b + h. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*b - 5288 = -25*b - 4*x, -4*b - 3*x = -10606. What is the thousands digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by -15.\nAnswer: -14\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 6*k**2 + 12*k - 20. List the prime factors of j(8).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6225, -6304, -6383, -6462, -6541, -6620?\n\"Answer: -79*h - 6146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 56 = 60 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 23 - 3 - 1 + z to the form u*z + g and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 6*v. Let d(o) = 17*o. Let i be (-10)\/(-65) - 435\/39. Let b(k) = i*n(k) + 4*d(k). Let h(t) = 2*t**2. Calculate h(b(f)).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 124119960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-5)*u**(-1))\/((u*u\/(u*u**(1\/8)*u*u*u))\/u**(3\/4)) assuming u is positive.\nAnswer: u**(-25\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1312353305 - 3?\nAnswer: -1312353312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27604 is divided by 5294?\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 62 + -55. What is the remainder when 433 is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 83 and 38263.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 399998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*i + 1530 = 2646 for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fg when two letters picked without replacement from uggfpgf?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/21 - ((-144)\/56)\/(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6114 in 22\/9, 0.05, -1\/2, 1\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 3046461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 6*b. Let y be p(2). Suppose 5*f = 5*d + 75, 4*f + 0*f - y = 0. Let m(q) = q**3 + 12*q**2 - 3*q - 10. List the prime factors of m(d).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0\/2 - 8) + 33537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1558637, -1558806, -1559087, -1559480, -1559985?\nAnswer: -1560602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of 11*x**4\/24 - 2*x**3 + 33*x**2. Let s(p) = 13*p - 14. Let c(v) = 6*s(v) - 7*u(v). Let y(k) = 2*k**2 + 8. Calculate y(c(l)).\nAnswer: 2*l**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*c + 50967 = -4*c. Let q = c + 845. Solve q*m = 41*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581.8176 millennia in years?\nAnswer: 581817.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*g + 1480 = 270, 0 = i - 5*g - 316. Let z(a) = 7*a**3 + 5*a**2 + 2*a - 2. Let w be z(4). Let q = w - i. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wnsnnnkssmwknnksnj. Give prob of picking 1 j, 1 s, and 1 n.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -7. Let c = 0.13 - -5.47. Let s = v + c. Sort s, 4, 0 in decreasing order.\nAnswer: 4, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4413 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -256\/5 - -51. Let y = 111615\/11 - 50557\/5. Let g = -178\/5 + y. What is the third biggest value in g, f, 1\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + 0*(-6)\/42 - -1. Solve 3*g = -5*j - 15, 4*g - 3*j - 13 = -w for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2057 divided by -25504?\nAnswer: 2057\/25504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -89\/3 + 29. Let k = 1.0008 - 0.0008. What is the nearest to k in a, -0.3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15749.1415*-3\nAnswer: 47247.4245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u - 6*u + 2*u.\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/9, -1\/11, -0.081?\nAnswer: -0.081","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**2 + 7*r - 3. Let n(m) be the first derivative of -m**3 - 7*m**2\/2 + 4*m - 2. Let w(v) = 4*l(v) + 3*n(v). Is 6 a factor of w(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -223, -231, -239, -247, -255?\nAnswer: -263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1972 take away 5709041852?\nAnswer: -5709039880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -6. Find the third derivative of -5*d**4 + 7*d**6 + d**j + 2*d**2 + 4*d**4 wrt d.\nAnswer: 840*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -7*p + 44. Let d be (96\/14)\/(9\/(756\/p)). What is the greatest common factor of d and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 + 61. Suppose 5*g + o = 164. What is the remainder when 102 is divided by g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38340 divided by 71\nAnswer: -540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -213 + -20111?\nAnswer: -20324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 - 63 = -2*a + 3*r, -3*r - 272 = -4*a. Does 4 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 136*m + 360. Let n(z) = -z**2 - 272*z - 723. Let s(b) = 4*n(b) + 7*t(b). Factor s(r).\nAnswer: -4*(r + 3)*(r + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -478\/15 + 3286\/105. What is the smallest value in -3, 3, k, 5\/3, -2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 0*r. Suppose r = g + g. Suppose 4*k + 34 - 158 = g. Is k a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 8) to base 15.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q + 29*q - 699*q**2 + 697*q**2 + 38. Let r be o(14). Suppose 2*a - 5*a + 33 = 0. What is the greatest common factor of a and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 239 or 241?\nAnswer: 239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**40*q)\/q*(q*q**(-20\/7))\/q*q\/q**(4\/25)*q**(-17) assuming q is positive.\nAnswer: q**(3672\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b - 37 = 8. Solve 5*v = n + 1, -n - b*v = -0 + 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 - 11*a - 37. Let u be j(-3). Suppose u*i - 20 = -5, -2*k = -4*i - 3074. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.6 - 1.5. Which is the nearest to w? (a) -0.4 (b) -4 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/214*-7*(-7438)\/(-26033).\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 + (7 + -20 - -28).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -5053 <= 30994?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20522*z = -20572*z + 2000. Calculate the highest common divisor of z and 4770.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122221210 (base 3) to base 8.\nAnswer: 31441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6310, -12702, -19100, -25492, -31866?\n\"Answer: 2*u**3 - 15*u**2 - 6361*u + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 271324.\nAnswer: 2, 29, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 7*n - 30. Let m be v(-11). Let w be (-2 - 1)\/((-21)\/m). Solve 9 = g + w*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*v - 57*v**2 - 3*v**2 - 18*v + v.\nAnswer: -60*v**2 + 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49 + -28. What is the lowest common multiple of (-5)\/(-10) + r\/2 and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*r - 8 = -74*r + h, -5*h + 29 = 5*r - 6 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-5) + (-357)\/805. Which is bigger: -0.1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 - 16. Solve -3*r = -u*r - 25 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24? (a) -0.5 (b) 31 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2 - 17*x - 1908.\nAnswer: (x - 53)*(x + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1225444 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 27. Let y = 5 - w. Let a = y - 23.152. What is a rounded to 2 decimal places?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 + -34. Let c = 14 + j. Solve 3*b = -c*b + 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x + 53 = -32. Suppose l = -4*l, -4*l + 25 = -x*c. Is -5 >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*t**3 - 224*t**3 + 131*t**3.\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 415*c - 202. Let i(l) = -13*l**2. What is y(i(h))?\nAnswer: -5395*h**2 - 202","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p - 53. Let j be f(-24). Let a be j\/(-15)*8\/(-3). Is -1 greater than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-15) - (20 + 242\/(-15)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 391, 784, 1163, 1522, 1855, 2156, 2419?\nAnswer: 2638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62492 is divided by 644.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*x - 0*x. Calculate the remainder when 13 is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of 0 + 0*p**3 + 0*p - 1\/20*p**5 - 1\/12*p**4 - 24*p**2. Let k(v) = 4*v**2 + 3*v + 1. Determine -2*k(i) - 3*r(i).\nAnswer: i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2 = -2*u - 2*w, 0 = -5*u + 2*w + 7. Let t(d) = -2*d - 2*d + 2*d**2 - u*d**2 - d. Determine t(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -61?\nAnswer: -5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 8) to base 4.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 8*i**2 - 6*i - 2. Let j be c(7). Suppose -2*o + 245 = 5*m, -5*o - 102 - 108 = -j*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -50.408 + -0.392. Let g = a + 8.8. Let d = g + 42.3. Is d less than -2\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*q - 240 = 51*q for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*i + 39*i + 9*i**2 + 17*i**2 + 15*i**2 - 47*i**2 in the form b + h*i + v*i**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13*160\/260)\/((60\/(-9))\/5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -21*n - 9. Let p be q(11). Let t = 436 + p. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 10*p**2. Let b(t) be the second derivative of -19*t**3\/6 - 646*t. What is b(y(u))?\nAnswer: -190*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -51*11\/5049 - 386\/(-18). Let f*l + 112\/3 + 4\/3*l**2 = 0. Calculate l.\nAnswer: -14, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 7*c. Let k(r) = 2*r**2 + 5*r. Let t(v) = -2*v**2 - 4*v. Let g(j) = 4*k(j) + 5*t(j). Calculate z(g(o)).\nAnswer: -14*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1242, 1223, 1204?\n\"Answer: -19*u + 1261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 191 divide 24778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42616095502 + 42616095502 - 43*j**3.\nAnswer: -43*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 37*p - 8. Suppose 4 = -6*m + 16. List the prime factors of o(m).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j**2 + 51*j - 464. Calculate v(6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3 - 1624*s**2 - 3254*s - 1628.\nAnswer: 2*(s - 814)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34785 - -35727. Suppose 16*u = -36*u + r. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 1:54 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 120c36c + -5?\nAnswer: 120c367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -269 - -269. Suppose 0 = 4*v - 20 + 4. Let h = v + -6. What is the smallest value in r, 3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -3*n + 26, -22*s - 29 = -12*s + 3*n for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -5, -21, 5 in decreasing order.\nAnswer: 5, 1\/2, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(16*(-5133)\/1888)?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 64 - 24. Suppose 2*b = g + 24. Suppose -b + 7 = -j. Solve j - 5 = -4*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -47 (b) 4\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.335 (b) -3 (c) 4 (d) -1\/3 (e) 2\/7 (f) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 26904081?\nAnswer: -4\/26904081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 223*z - 111*z + 17 - 111*z. Let i be w(-13). Suppose -i*j + 125 = 1. What are the prime factors of j?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -6*h - 22. Let u = -63 + 59. Let m be b(u). What is the third derivative of 3*w**2 - 6*w**m + 2*w**2 + 3*w**5 + 11*w**2 wrt w?\nAnswer: 180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-690)\/150 + 4 - (2 - 65\/25).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -35*z**3 - 4*z**2 - 321?\nAnswer: -105*z**2 - 8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3376 by -24004.\nAnswer: -844\/6001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/2, -25, -0.1?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 11:30 AM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, y: 2, m: 2, g: 4}. Give prob of sequence gmg.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 156 + -152. Calculate the remainder when (9485\/15)\/7*(t - 1) is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4194 + 4213 + 323*v + 103*v to the form z + l*v and give l.\nAnswer: 426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 46) + (14 + -8 - (4 + 3))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -7*n + 23 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 493*j - 995*j - 9 = -500*j, 1 = 5*u - j for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 535 and -17.04?\nAnswer: -9116.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 6. Let o be ((-102)\/4)\/(f\/(-4)*-2). Calculate the highest common factor of o and 561.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 2*s**2)*(-69 + 35 - 125 + (3 - 5 + 0)*(2 + 1 - 7))*(-1 + 2 + 0)*(3 - 3 - 2).\nAnswer: 604*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -354\/7 + 50. What is the closest to 0 in 3\/5, 4, 1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of -r**4\/24 - r**3 - 2*r**2. Let h be a(-7). Let j(p) = 5*p**2 + 8*p. Let u(m) = m**2 + m. Give h*j(w) - 6*u(w).\nAnswer: -w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 1142*b**3 - 5*b**2 + 18*b - 16. Let f be u(6). Let h = f - 13386584. What is h rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, s: 1, r: 4, x: 1, n: 8}. Give prob of picking 2 n.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/6*h**3 + 19\/6*h**2 + 20 + 47\/3*h.\nAnswer: (h + 2)*(h + 5)*(h + 12)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -34 - 185*s - 1 + 3. Let p be i(-3). Suppose 0 = 11*h - 1678 + p. List the prime factors of h.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 39961.62 millilitres?\nAnswer: 39.96162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40422, 80826, 121230, 161634, 202038, 242442?\nAnswer: 282846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 17*j**2 - 63*j - 10. Let c be q(6). Solve -4 = -3*n + 2*g, -c*n + 10*n = 5*g + 21 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 3*j + 5. Let y(w) = -w**2 + 3*w + 5. Let b(r) = -6*g(r) + 5*y(r). Is b(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 6:01 AM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-385)\/(-7)*10\/22?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -6*u + 2*u. Suppose -u = g - 21. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310082 to the power of 1\/2, to the nearest integer?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 309134 to the nearest integer?\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**2. Let t(x) = -9*x**2 - 5. Let h be (-10)\/5 - 28\/(-4). Let c(b) = 5*b**2 + 3. Let v = -8 + 11. Let n(o) = h*c(o) + v*t(o). Calculate k(n(f)).\nAnswer: 8*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -301600 by -58.\nAnswer: 5200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 892 and 4424?\nAnswer: 986552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nbib. What is prob of sequence nbi?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**2 + 20*w**2 + 7*w**2.\nAnswer: 30*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3*r**3 - 2*r**2 - r + 4. Give w(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -10683*t - 10608207. Give v(-993).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.1 and 28?\nAnswer: 30.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5*o + 8 = o, -4*d + 24 = 4*o. Suppose 3 = 5*m - 2*m. Let f be (0 + 0)\/m*-1. Solve -l - d - 1 = f for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 155 + -159. Let f(v) = v**2 + 10*v + 19. Let i be f(b). Put -13, i, 2, -3 in decreasing order.\nAnswer: 2, -3, i, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 7*u - 6)*(18*u**3 + 57*u - 57*u) + 2*u**4 + 2*u**4 + u**4.\nAnswer: -121*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -4*l + 11644, -6397 = -4*f - 5*l + 5249. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 247851 divided by -3?\nAnswer: -82617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2126802169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p - 75190 + 172002 + p - 96812.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.7 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express s**2 - 7 + 179*s**4 + 5 + 211*s**4 + 0*s**2 as x*s**3 + c + r*s + d*s**2 + t*s**4 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -592, -581, -568, -553, -536, -517, -496?\n\"Answer: r**2 + 8*r - 601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 36*z**2 + 20*z - 184 = 0. Calculate z.\nAnswer: -23\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 178 (base 9) to base 11\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 11152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 0. Let i(c) = c. Let j be i(y). Let d(a) = 0*a**2 + j*a**2 + a**2. Let h(x) = -4*x**2. What is d(h(n))?\nAnswer: 16*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -563 divided by 227741.\nAnswer: -563\/227741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5646\/(-7528))\/((-1)\/8*1*2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3*(-1)\/(66\/61) and 93\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22285.034 + 22264. Let s = -0.034 - t. Let b = s + -21.000042. What is b rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of -126*r**2 + 1\/8*r**4 + 0 + 0*r - r**3. Determine s(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.7 + 21.7. Let c = n + -23. What is the second biggest value in -1\/6, c, -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3334\/188371 + 5745\/1017.\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -90*m**3 + 198*m**3 + m - 96*m**3 - 695 - 341 - 4*m wrt m.\nAnswer: 36*m**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 10\/13*s**3 + 8\/13*s - 32\/13*s**2 + 14\/13*s**4 + 0 = 0. Calculate s.\nAnswer: -2, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b**2 - 2*b**2 + 6*b**2.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or -1514?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25215 - 0?\nAnswer: 25215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 98069 + -62349. Round i to the nearest one thousand.\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 25 - -7?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3.31 or 0.107?\nAnswer: 0.107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -12*t - 108. Let p be n(-17). Suppose -504 = d - 15*d. What is the highest common divisor of p and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = 4*l - 12, v + 12 = -5*l - 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1363, -1403, -1479, -1597, -1763, -1983?\nAnswer: -2263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 7*x**3 + 2*x**2 - 5*x + 2. Suppose 16 = -4*d + 4*u, u = -3*d - 2*u. Let c(b) = -8*b**3 - b**2 + 4*b - 1. Let g(q) = d*l(q) - 3*c(q). Determine g(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 5*r. What is the least common multiple of 11 and y(2)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y + 4. Let p be w(0). Suppose p*l - 2 - 18 = 0. Solve -4*d - 15 = l for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -9 - -4 - 103\/(-15)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -168 + 170. Solve 5*k - 2*a = -h, a - 1 = k - 3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -4 + 2*p**2 - 3*p + 1\/3*p**3. Let l be c(1). Round l to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 13*v + 15*v - 22*v + 4. Calculate p(-5).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 11. Suppose -21 = 3*g - 0*g + 3*a, 3*g + 2*a + 17 = 0. Let z = g + 1. Sort -0.5, z, q in decreasing order.\nAnswer: q, -0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78939.33 rounded to the nearest 100?\nAnswer: 78900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = s - 13520 - 30249, -2*n + s = -17509. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 433895 and 506.\nAnswer: 867790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 5*q - 5 = 0, 4*m + q + 22 = 6. Let n(t) = t**2. Calculate the remainder when 72 is divided by n(m).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o + 14. Let q(g) = -3*g - 29. Let m(d) = 2*q(d) + 5*u(d). Let w be m(7). Solve -3*a + 2*a = -5*f - 1, -13 = 2*a + w*f for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.16 + -0.14. Suppose -20 = 11*u - 75. Let k = 0.37 - -0.03. What is the closest to 2\/3 in u, s, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -65*k + 9*k**4 + 12*k**4 - 16*k - 5*k**4 wrt k.\nAnswer: 192*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-58*(-2)\/16)\/((-60)\/(20640\/(-43)))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 - -22?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(605)*1 + sqrt(5) - sqrt(10)\/(-1*sqrt(2))) + 3 + -1)*6)**2.\nAnswer: 1872*sqrt(5) + 30564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 0.8. Let p = 2.7 + -2.8. What is the closest to p in o, -2, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 2*i**2\/7 + 187*i\/7 + 65 = 0.\nAnswer: -91, -5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -5234 bigger than -5234?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4642995 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of 1\/6*r**3 - 1\/2*r**2 + 0 + 4*r. What is p(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -84222 (base 15) to base 2\nAnswer: -1100110010010100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144866887.\nAnswer: 11, 19, 61, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*o + 2523450 = 2523870 for o.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -25*x**2 - 2*x - 2. Let d = 12769 - 12771. Let l(f) = -50*f**2 - 5*f - 5. Determine d*l(a) + 5*q(a).\nAnswer: -25*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 13 = -3*w - 4, p = 5*w - 15. Suppose -3*n - 2*g = -1 - 8, -3*g = p. Suppose 0 = -n*b + 2 + 34. Is 4 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 109760*b + 109762. Give n(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - 3*l - 4*l)*(-l + 1 - 1)*(1 - 1 - 2).\nAnswer: -14*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 509\/3, -383, -4.\nAnswer: -383, -4, 5, 509\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1998 or -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 4\/(-3))*63\/14. Let v be 1 - 15\/(-2)*t\/63. Which is the third smallest value? (a) -2\/7 (b) v (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -4 (b) 0.04 (c) 0.4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = d - 8. Factor -u**3 - d - 4*u**2 - 12*u - 10*u + 17*u.\nAnswer: -(u + 1)**2*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 42*x**2 - 93*x + 3906. Calculate j(42).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -83?\nAnswer: 5\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*j**5\/3 - 295*j**4\/3 + 475*j**3 - 2125*j**2\/3 - 625*j\/3.\nAnswer: 5*j*(j - 5)**3*(4*j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u + 1. Let s(q) = 5*q - 3. Let i(b) = s(b) + 4*v(b). Let p be i(-3). What are the prime factors of 1*2*(p + 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66084265*-0.2\nAnswer: -13216853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3882 a factor of 3851242914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mqzmqmmzmqmmzz. Give prob of sequence mzz.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -392 + 394. Let z be (8 + -5 - -3) + -2*v. Solve 5*u - 14 = 2*b, -2*u - z*u = -4*b - 4 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -4*j - 1. Let n be o(1). Let b(m) = m**2 - 5*m - 1. Let a(u) = -u**2 + 6*u + 1. Let x(t) = n*b(t) - 4*a(t). Let d = 0 + -2. Give x(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4159 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4510 less than 81200109.06?\nAnswer: 81195599.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t + 74. Let p be c(0). Let q = -7360 - -7328. Let r = q + p. List the prime factors of r.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*(-9)\/12*-2. Suppose -5*d + r*j = -1, -j + 2 = -d + 1. Factor -2\/9 + 0*g + 2\/9*g**d.\nAnswer: 2*(g - 1)*(g + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -118437 divided by 3201?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -3*d + 17, 0 = 4*u + d - 0*d - 15. Let w(z) = -u*z + z + z + z. Let c(g) = -4*g**2. Calculate c(w(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -261 by 3.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 139582352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 5*g**3 + 5*g - 13*g**3 + 5*g**3 in the form k + p*g + q*g**3 + i*g**2 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1326.83 to the nearest 10.\nAnswer: -1330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -3923181 at least -3923162?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 32 - (2 - (0 - (-13 + 5)))\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of i**2\/2 + i. Let j(o) = 2*o - 2. Give h(m) + j(m).\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 7:12 AM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -12901, 0.28, -55, 4?\nAnswer: -12901","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -k + 11, 2*n - 491303 = -491291 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -91*j + 1325 - 1325 as x + s*j and give s.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11349 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1 (b) -2 (c) -117.8375 (d) -0.12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 2*s. Suppose -65*h + 68*h - 5*z = -32, -4*z + 16 = 0. Determine l(h).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6523304 is divided by 65891.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/(-2) + 9\/(-6). Suppose -107 = -5*n + 13. Suppose 3*r + r = -n. Is r less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/200*-1*6?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -z + 91. List the prime factors of z.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67468, -68084, -68700, -69316?\nAnswer: -69932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y - y**3 + 5*y**3 + y**2 - 8*y**3 to the form q*y**3 + g*y + s*y**2 + w and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 35315 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -224*c + 102. Give o(2).\nAnswer: -346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 19*m = 286 + 13 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in thirteen fifths of a meter?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2053*i - 7 + 7 - 39*i.\nAnswer: -2092*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*o**3 - 40*o**2 + 52*o + 88 = 0. Calculate o.\nAnswer: -11, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 + 0. Let d be (-1)\/(-4) + 1048\/j. What is the third derivative of -4*r**3 - d - 3*r**2 + 33 wrt r?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**(-3\/4)*z*z**(-3\/11)*(z*z*z**(-4)*z*z)**(20\/9) assuming z is positive.\nAnswer: z**(109\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1072 - -1820. Suppose 33*x - 30*x = -7*v + 9, -2*x + 6 = -2*v. Let i be (t\/(-663))\/((-2)\/x). Is 3 greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*v + 0*v**2 + v + 2*v**3 - 3*v**4 + v**2 - v**3 to the form u*v**4 + y*v + q*v**2 + g*v**3 + f and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 783 is divided by 82?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 - 238bc3?\nAnswer: -238bca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 7, 1 in decreasing order.\nAnswer: 25, 7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*f**3 - 2*f**2 + 2*f**2 - 6*f**3 + f**3 + 2*f**3 + 6*f**3 - 5*f**3 - 2*f**3 + (2*f - 2*f - f**3)*(2 - 2 + 2) + f**3 + f**3 - f**3.\nAnswer: -11*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 9, x: 4, m: 1}. What is prob of sequence qq?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 5. Let w = f - 0. Let a = -215 + 214.5. Sort w, 5, a.\nAnswer: w, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1291875\/4 - -324745. Let z = d + -1796. Is -20 less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of -b**4 - 4*b**3\/3 + 4*b**2 + 21. Factor z(r).\nAnswer: -4*r*(r - 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01279939 to 3 dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 191*s**2. Is h(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**5 - 410*f**4 - 27740*f**3 - 600300*f**2 + 1285470*f - 657018 = 0. What is f?\nAnswer: -69, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*1*sqrt(272) + 5)**2.\nAnswer: 200*sqrt(17) + 6825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (57\/19)\/((-2)\/(-2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-35)*336\/(-288)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, s: 1, c: 2}. What is prob of sequence cc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d + 56 + 47 - 112. Let k = -7 - -2. Let g be z(k). Solve -4*y - 2 - g = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-65)\/(-35)*-2 - (-4)\/(-14).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 20*y - 28. Suppose -5*r + y*g = 23, -5*g + 17 + 6 = -r. Is r < -33\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, -3, -2, 2\/31?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**3 - 15*p**2 - 27*p - 16. Let c be a(-5). Put 1, 2, 4, 16, c in descending order.\nAnswer: 16, 4, 2, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from feebbmjjemmbmb?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16327835?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f + 3*g - 16, -3*g + 165 = 5*f + 158 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 825 - 825 + 6*c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -839 - -844. Let r = 114 - 114. Suppose -h = -5*y - 6*h + 25, -4*y - 5*h = -23. Solve y*i + 3 + d = r for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/32 and 131\/24.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - -175 - (-767 - -817).\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 42 (b) -6 (c) 2\/3 (d) 0 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-64)\/(-120)*-5*1\/(-2).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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: Solve -530 = -60*y + 70 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 3*s = -977 + 962, -4*n - 37 = -s for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-3\/8)\/u**(3\/2)*u*u**(-1\/5)*(u**10\/u*u)\/u*u assuming u is positive.\nAnswer: u**(357\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-4 + (-42180)\/(-10434).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 7, 66, 2, -1, 125 in increasing order.\nAnswer: -4, -1, 2, 7, 66, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w**3 - 7*w**3 + w**3 + (0*w + 4*w - 5*w)*((w + 5*w - 4*w)*(-7 + 7 - 7*w) + (6 - 6 - 2*w)*(3 + 5*w - 3)).\nAnswer: 21*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, s: 5}. Give prob of sequence ss.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 0.3273, 8, 93, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -3. Let d = j + 3. Differentiate -4*h + d*h - 1 + 0*h wrt h.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*l - 2*l**3 + 0*l + 3*l + 2*l**3 - 5*l**3 + 0*l**3 + (-29*l - 194 + 194)*(22*l - 22*l - 6*l**2) as r*l**3 + o*l**2 + g*l + k and give r.\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 5*n**2 - n + 5. Suppose -29*c = -19*c. Let o be w(c). Let g(l) = l**3 - 4*l**2 + 2*l + 3. Let r be g(3). Solve 25 = -o*p - r*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -13*g - 2. Suppose -4*q - n = 23, 84 = 5*q - 5*n + 94. Let a(o) = 25*o + 4. Determine q*l(t) - 3*a(t).\nAnswer: -10*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 211999 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(396) - sqrt(396) - -2*sqrt(44)) + sqrt(55)\/(sqrt(55)\/(sqrt(11)*-3)))**2.\nAnswer: 3179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1\/5)*k*k*k**12*k**(-3\/4)\/(k*k**(1\/9)) assuming k is positive.\nAnswer: k**(2149\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/23, -5, -110, -0.2?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 154, 287, 410, 517, 602, 659, 682?\n\"Answer: -i**3 + i**2 + 137*i + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 3*p - 1531, 2*p = 5*o + 3*p - 1890. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + 2*n + 43. What is z(-7)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3968427101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (1 + -7 - (34 - 49))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 64565951 to the nearest integer?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7 to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 770 from -0.3.\nAnswer: -770.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 12734, 32522, 65472, 111560, 170762, 243054, 328412?\n\"Answer: -4*o**3 + 6605*o**2 + o + 6132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 6 - 6)*(3*g + 0 + 0)*(-16 + 34 - 3 + 4 - 2 - 1 + (5 - 2 - 1)*(-4 + 4 - 1))*(-1 + 1 - 1) as j*g + r and give j.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-4 + (-140)\/(-34).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + 20*p - 49. Suppose 147 = 14*o - 91. Let f be c(o). Let t(j) = -4 + 4*j - 3*j**f + 9 + 2*j + 4*j**2. Give t(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a35 - 17535?\nAnswer: -15900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 393 = -2*z + 4035. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 AM and 7:07 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -37*c**2. Let t(k) = -3 + 123071*k**2 + 5 - 123062*k**2. Determine z(t(s)).\nAnswer: -2997*s**4 - 1332*s**2 - 148","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -255, 2095\/44, 1\/2, 4\/9 in descending order.\nAnswer: 2095\/44, 1\/2, 4\/9, -255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1728)*4 + 4 + 4)**2.\nAnswer: 1536*sqrt(3) + 27712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 69*y + 72*y - 7505, -2*d + 2981 = -3*y. What is the lowest common multiple of 6 and d?\nAnswer: 4494","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 95*v**3 + 143*v**2 - 8*v + 14. Let x(t) = 33*t**3 + 47*t**2 - 3*t + 5. Determine 3*f(b) - 8*x(b).\nAnswer: 21*b**3 + 53*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of v**6\/6 - 2*v**5\/5 - v**4\/2 + v**2 - 2*v - 6. Find the third derivative of f(i) wrt i.\nAnswer: 120*i - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 185309130 and 185309130.\nAnswer: 185309130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - -1530109?\nAnswer: 1530113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + y**2 - y - 1. Suppose 5*w + 4 = w. Let u be (w + 3)\/(-1 - -3). Let z(f) = 3*f**3 - 3*f**2 + 51 - 48 - f**3 + 5*f. Calculate u*z(x) + 3*a(x).\nAnswer: -x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + p**2)*((-12 + 4 - 5)*(2 - 2*p - 2) + 2*p + 0 - 2 + 4).\nAnswer: 28*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/8*38\/1. Suppose 26 = -0*v + 4*v + 2*k, -3*v - 2*k = -a. Is 2 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 9\/(-12) + -1*84\/48. Sort 2\/15, -2, -2\/7, 4\/9, p in increasing order.\nAnswer: -2, p, -2\/7, 2\/15, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (3 + 1598\/(-527))\/((-161)\/73 + 2) and 7\/87.\nAnswer: 13485","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -4*c**2\/3 - 544*c\/3 - 6032 = 0.\nAnswer: -78, -58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 419318 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = k + 3*s - 8, -2 = 2*k - 2*s. Suppose k*u = u - 16. Does 13 divide 3*u*(-2)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3*a = -8*a + 43, 0 = -5*a - 5. Let h = -24 - -27. Calculate the lowest common multiple of h and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1798, 1796, 1794?\nAnswer: 1792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2*(sqrt(1331) + (0 + sqrt(1331) - sqrt(1331)) + 4 + (sqrt(99) + sqrt(99) + 1 - sqrt(99))*4 + sqrt(99))**2.\nAnswer: 832*sqrt(11) + 15003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-10) - 26\/60. Which is the third smallest value? (a) w (b) 5 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -573 divided by -1.\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.14535 and 9591.51.\nAnswer: 9591.65535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -10 + 7*d + 2*d - 3*d + 5. Let t be r(8). Suppose 7*z = 8*z - t. Is 18 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**3 - o**2 + 2*o + 12. Let b be c(0). Let g be (b\/(-45)*-3)\/((-61)\/10). Let l = g - -300\/427. What is the nearest to -0.1 in 0.2, l, -9\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + 6\/(-3))*-1. Suppose k*s + 0*s = -8. Suppose 5*p = 5*u - 5, -p + u - 7 = 3*p. Is s greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 852871*p**2 - 5745153*p?\nAnswer: 1705742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -8, 3 in decreasing order.\nAnswer: 3, 0, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/d**2)**(-46)*((d*d\/(d\/(d\/(d*(d*d**(-2\/7))\/d)))*d)\/d)**(-27) assuming d is positive.\nAnswer: d**(-243\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -500 divided by -250.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -4*d**3\/15 - 1063*d**2\/5 + 1064*d\/5 - 4452. Factor g(o).\nAnswer: -2*(o + 532)*(2*o - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(2*(15\/(-24))\/((-210)\/24))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-132)\/(-255) - 26\/221.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03030384 rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 88 + -82.1. Round v to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 2*t - 18, -2*c = -t - 3 - 0. Suppose -v = -c*v + 2*o + 74, 92 = 4*v - o. Calculate the greatest common divisor of v and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/896739 and -46\/5515?\nAnswer: 4483695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 5*s - 16 - 10 - 10 - 9*s**2 + 31. Let n(i) = 5*i**2 - 3*i + 3. Let t(q) = -3*c(q) - 5*n(q). Let r(o) = 8 - 9 - 113*o + 112*o. Determine t(r(w)).\nAnswer: 2*w**2 + 4*w + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o + 302999 = -133151. Round o to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (5 - 10)) + 18 - (54 + 65)\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1637)\/(-5) + 2\/(-5). Let v = w - 741. Let x = -287 - v. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207 = f + 28. Suppose -f = -6*r + 175. What is the remainder when r is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.2 (b) 1 (c) -3.1399 (d) 50\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + -102*3284\/(-14168). Let v = k + -249\/11. Let n = v - 331\/1449. Put -1, 2, n in ascending order.\nAnswer: -1, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2795 - 3093 = 1005*t - 863 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/10*-4 + -2*1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 321, -64?\nAnswer: 321","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/268 and -41\/36?\nAnswer: 2412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.44 + -0.56. Put -2\/5, 7, d in increasing order.\nAnswer: d, -2\/5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 11. Let v(l) = -l - 1. Let t(j) = 4. Let p(f) = -t(f) - v(f). What is the units digit of p(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -927037 divided by 700?\nAnswer: -927037\/700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9467549 is divided by 3206.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, n: 2, z: 1, q: 3, g: 1}. Give prob of sequence jq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 790000 divided by -1250?\nAnswer: -632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145 = -11*i - 35. Calculate the smallest common multiple of i and 26.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23203 - -21221101?\nAnswer: 21310310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23955 and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 303800939 a multiple of 3388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -85294, -170579, -255864?\n\"Answer: -85285*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 179285 to the power of 1\/2, to the nearest integer?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**2 - 2*x**2 + 0*x**2 - x**2 - 9*x + 9*x + x**2 + x**2 - x**2 + (-2*x**2 - 2*x**2 + 5*x**2)*(3 + 4 - 5) + x**2 - x**2 + 9*x**2.\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 168895?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -250 - -378. Calculate the highest common factor of 32 and k.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 1:58 AM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(3\/5))\/y*y*y\/y**1*y)**(2\/21)\/(y**(-2)\/((y*y\/(y\/(y*y*y\/((y*y**(-2))\/y*y))*y))\/y))**(-42) assuming y is positive.\nAnswer: y**(-3148\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/10 + (-1)\/(-2) + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 119002 and 143.\nAnswer: 1309022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1500) + 4*sqrt(1500)*1)\/((sqrt(75) + sqrt(75)*-1 + sqrt(75))*5).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3655*c - 281427. Give n(77).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.5 - 2. Let y = 1.5 + j. Suppose -229 = -116*s + 12*s + 187. What is the fourth smallest value in 9, s, y, -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7719?\nAnswer: 3, 31, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**2 + 92*o + 336. What is z(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-100.82.\nAnswer: -40.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 336657?\nAnswer: -1683285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -292.\nAnswer: 3\/292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 + 0)*(-3 - 4 + 6)*(-2 + 2 + y).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198885?\nAnswer: 3, 5, 13259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3*o**2 + 4*o + 5. Suppose 3*i - 1 = -m + i, 4*m - i = -14. Let d be z(m). Let b = d - 6. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 59 + -6. What is the highest common factor of 265 and t?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h**2 + 39*h + 10. Let y = 86 + -101. List the prime factors of m(y).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 786188712 to the nearest integer?\nAnswer: 923","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + -12. What is the biggest value in -1\/3, 1, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6 - 1)*(-8)\/(-20). Suppose 7 = -5*c - h*m, -m = 2*c + 2*m + 5. What is the tens digit of 32 - 4 - (0 - c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-51)\/((-17)\/9 - -2). Let s = p - -734. Let l = -71 + s. What are the prime factors of l?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a tonne in kilograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18789*m - 2*m**3 - 18789*m.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -1. Solve a*g + 9 = -g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 7 = -5*m, 2*h + 557*m + 11 = 556*m for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33 and 8346679.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2103 (base 12) to base 4\nAnswer: -320103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 21 + 23 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3479273280 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nimnijmhhhnpjnmpmiji. Give prob of sequence ihn.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2170\/(-45))\/(-7) + -7.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 65 and 6732245.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 4*f**3 + 5*f**2 - 5*f + 5. Let p(o) = 2*o**3 + 2*o**2 - 2*o + 2. Let x be 13 + -13 + -1*4. What is x*c(k) + 10*p(k)?\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -196768.\nAnswer: -393536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2937 and -0.397.\nAnswer: 1165.989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2 - 1 + 3 + 83*o - 5 + 96*o + 546*o**2 wrt o.\nAnswer: 1092","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/3 + (-105)\/(-9). Let v(x) = 17*x + 24. Let p be v(-12). Let r = p - -279. Calculate the greatest common factor of z and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*c**3*p**3 + 14*c**3 + 5*c**2*p - 9*c - 35859*p**3 + 2*p**2 + 3*p wrt p?\nAnswer: 84*c**3 - 215154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = v + 2*r, 2*v + 5*r = 0. Suppose -3*s + 59 - 2 = v. What is the remainder when (20466\/(-567))\/(-1) + 8\/(-84) is divided by s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68 - 9*y + 63 - 152 + 11*y + 21.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in 1, 0.1, 2, -3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.264 - -9.\nAnswer: 9.264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/10 + 896\/(-70). Let u(i) = -i**3 - 8*i**2 + 34*i + 30. List the prime factors of u(k).\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 b when four letters picked without replacement from {z: 5, y: 1, e: 1, b: 3, m: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of 1\/6*m**3 - m**2 + 0 + m. Let i be p(6). Solve -3*h = 5*n - 34, 0 = n + h - i - 4 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*j - 1 - 37*j - 25*j + 1.\nAnswer: 13*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -3*b - 139, 2*o - 2*b = 3*b - 63. List the prime factors of (o\/(-8))\/(4\/16).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 128519086991\/429191 - 14672858\/49. Let c = -2\/461 - l. What is the common denominator of c and 29\/4?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 l when two letters picked without replacement from {l: 2, x: 1, h: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2528604 and 3090516.\nAnswer: 27814644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.03 - -0.87. Let v = 0.11 + 1.29. Let i = x - v. Which is the smallest value? (a) -4 (b) -3\/2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1018691 is divided by 19590?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -14*g + 1351. Give z(91).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220880 = -118*h + 294*h. Calculate the highest common factor of 15 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (316*z + 405*z + 1293*z)*(-1 + 1 + 2*z).\nAnswer: 4028*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**4 - 112*n**3 - 1450*n**2 + 3364*n.\nAnswer: -2*n*(n - 2)*(n + 29)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71, 39, -1, -37, -57?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of -g**8\/6720 - g**7\/630 + 7*g**6\/720 + g**4 + 32*g**2. Let s(f) be the second derivative of c(f). What is s(-5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/8 + (4 - 6))\/((-25)\/240). Solve -21*k = -13*k + n for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5.6 (b) -4 (c) 0.505\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 c when three letters picked without replacement from cssccss.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1 + sqrt(98)) + sqrt(8)\/(-2*sqrt(4)) + 4)**2.\nAnswer: 440*sqrt(2) + 3153\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4217088*z**2 + 2108579*z**2 + 5*z + 2108562*z**2.\nAnswer: 53*z**2 + 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 1 + (-1 + 18 - (-96 + 29 + 80))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70.32564l to millilitres.\nAnswer: 70325.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 4*x - 3. Let q be b(-3). Suppose -n + 0*n + 5 = q. Suppose 9 = n*m + 2*p - 9, m - 22 = -5*p. Solve m*c = 2 + 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 81, -0.22, 0.1, -4\/13, -11\/8?\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 103, 114, 133, 160, 195?\n\"Answer: 4*c**2 - c + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, s: 2, f: 1, a: 1, w: 5}. What is prob of picking 1 f and 2 s?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i**4 - 2*i**2 - 7*i**3 - 333523 + 4*i**2 - 2*i + 333521 - 4*i**3 to the form f*i**4 + p + s*i**2 + j*i**3 + u*i and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 9. Solve 0 = 3*s + q*s + 10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 25*d**2 + 286*d - 680. What is q(-34)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 + 2)*(-y**2 + 2*y**2 + 0*y**2) + y**2 + y**2 + y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3 + 5*c**2 + 0*c + 2 - 4 - 5*c - c**3. Let z be g(4). Calculate the remainder when 0 - (-14 - z - -2) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -1 (c) -2\/13 (d) 3 (e) 9.9 (f) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -8*s - 6. Does 5 divide j(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 421*a - 7147 = 414*a. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3353 is divided by 1097?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwbbwww. Give prob of picking 2 w.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 204064626*b. Let g(m) = 2*m**2. What is g(j(i))?\nAnswer: 83284743169039752*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.19454 plus -234614457?\nAnswer: -234614455.80546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 5*z - 45 = 65, -2*m = z + 53. Let f = 25 + m. Suppose 64 = -f*n + 4*n. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57\/248, 0, 4, 1.\nAnswer: 0, 57\/248, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 7*d + 15 = 0. Let i be (-1)\/(((-5)\/(-4))\/d). Let x(o) be the second derivative of o**5\/20 - o**4\/4 - o**2\/2 - 2*o + 135. Calculate x(i).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18022125 divided by 4125.\nAnswer: -4369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wz when two letters picked without replacement from {b: 5, w: 6, s: 2, z: 3, i: 2}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/33*(-68 + 57)*-3. What is the second smallest value in -1\/2, -11, x, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -57\/10 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -43 and -43 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w - 37. What is o(0)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-39 + 30)\/(-2 - -3). What is the biggest value in d, 0, -3\/4, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -58209482 + 101574717. Suppose -7*t = -h - 135134765. What is t rounded to the nearest one million?\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4*-3*(-1 + sqrt(95)\/((sqrt(30)*-3)\/sqrt(6))))**2*-4.\nAnswer: 768*sqrt(19) + 3584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, -2, -13, -1, -3 in increasing order.\nAnswer: -52, -13, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 5*d + 4*d - 3)*(33 + 42 - 17) + 0*d - d - 2*d.\nAnswer: -61*d + 232","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 9634, 36487, 80544, 141799, 220246, 315879, 428692?\n\"Answer: -a**3 + 8608*a**2 + 1036*a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**3*d**3*p**3*t**2 - 34*c**3*t**2 + 2*c**2*d**3*p**3*t**2 + 2*c**2*d**2*p**2*t**2 + 7*c**2*d*p - 2*d**2*t**2 - d*p**3 wrt c?\nAnswer: -6*d**3*p**3*t**2 - 204*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -64598 - -64589.99972. Let z = -8.21 - -0.21. Let m = z - w. What is m rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 3. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38820 is divided by 19?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*-2*sqrt(272) - (sqrt(272)*-1 + 4)) + (5*(-1 + sqrt(272)) - (-3*(sqrt(272) + 0 + sqrt(272)) + sqrt(272))))**2.\nAnswer: -936*sqrt(17) + 46049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/58, -2\/13, -2, 31, 6 in ascending order.\nAnswer: -2, -2\/13, 3\/58, 6, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -10017a?\nAnswer: 10017d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 + 45 + 31*i**2 + 123*i + 26*i**2 - 3*i**3 - 25 = 0. What is i?\nAnswer: -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.28 - 0.02. Let k be ((-15)\/(-20))\/(1\/(-4)). Put b, -0.5, k in decreasing order.\nAnswer: b, -0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 1449, 3, 1 in increasing order.\nAnswer: -5, -2, 1, 3, 1449","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -12*x**4 + 4*x**3 + 23*x**2 + 4. Let w(i) = -11*i**4 + 3*i**3 + 22*i**2 + 3. Let j(z) = -3*f(z) + 4*w(z). What is the third derivative of j(h) wrt h?\nAnswer: -192*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 424 divide 118920813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-95*312\/(-2223))\/((-5)\/(-2))).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 89904656 to the power of 1\/3, to the nearest integer?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 46.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25107, -25065, -25027, -24993?\nAnswer: -24963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 36 = 5*p - 32, 3*a = -2*p + 5 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 5*p = 4, 325*a + 30*p = 321*a + 48 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -u - 2*u. Suppose 3*b = -3*k + 9, 23 = 5*k - b - 2*b. What are the prime factors of k\/5*(-10)\/u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -618 - -559. Let r = f + 58. Which is smaller: r or -5\/119?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c - 11. Let r be g(2). Let w(h) = -4*h - 1. Let j(y) = 3*y + 1. What is r*j(u) - 4*w(u)?\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 2.2\nAnswer: -4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.255379374 and -0.2.\nAnswer: 0.055379374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -5453 greater than -5453?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*d + 11*d - 5 - 3*d - 4*d as z + o*d and give o.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 + -0.05436?\nAnswer: -0.13436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43*d**4 + 1633*d**3 + 169751*d**2.\nAnswer: 1032*d + 9798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3991 is divided by 446.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of s**6\/120 - s**4\/24 - s**3\/6 + 33*s**2. Let t = -49 - -56. Let i be ((-36)\/20)\/3 - t\/5. What is h(i)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2663 = 114*h + 89*h + 2086 + 1795 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002430172858 rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (536\/3)\/((-92)\/(-552)). Calculate the highest common factor of m and 208.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*5\/(-10) + 5 + -1. Suppose -5*t + g*r = -25 - 0, -3*t = -3*r - 21. Which is the nearest to -1? (a) t (b) 0 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k = -12*k + 80. Suppose -3*h + k + 5 = 0. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 9*a**2 + 11*a - 13. Let r be p(10). Let c(g) = -5557*g**2 - 3*g + 4. Let z be c(r). What is z rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46435 and 3885?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -5*k**3 + 4556*k**2 + 3 + 2*k**3 - 4550*k**2. Let s be 3\/(-2)*(-24)\/9. Let q(y) = -4*y**2 + s*y**3 - 4 - 2*y**3 + 2. Calculate -5*d(f) - 7*q(f).\nAnswer: f**3 - 2*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/(sqrt(16) - sqrt(4)) - 6*-2*sqrt(7).\nAnswer: 13*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 768*-167.\nAnswer: -128256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -2*x**3\/3 + x**2\/2 - 384. Let u(b) = b**2 - 2*b + 1. Let z be u(1). Suppose 6*g - 2*g - 8 = z. What is j(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -14982\/85.\nAnswer: -14982\/85, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) -0.5 (c) -2.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -235320 - 4443?\nAnswer: -243063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d - 1. Let w be y(3). Let g = w + 7. Suppose g = -v + 3 + 10. List the prime factors of v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3492\/7 - 498. Factor 4\/7*w**2 + s*w**3 + 0*w + 2\/7*w**4 + 0.\nAnswer: 2*w**2*(w + 1)*(w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 103\/(-1030)*(1 + -1 + 1)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, -181847\/38, -0.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50, -55, -60, -65, -70, -75?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 49 + -13aa510?\nAnswer: -13aa4a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 5*a**2 + 6*a + 1. List the prime factors of t(5).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((2\/(-6))\/(-1 - -2))\/(-1). Let b = -0.32 - -0.02. Let t = -0.5 - b. Sort -2\/17, t, k in descending order.\nAnswer: k, -2\/17, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**2 - 3*p**4 - 28*p**4 - 3*p**4 + (-2*p + 3*p + 0*p)*(-2*p**3 - p**3 + p**3) in the form q*p + h*p**3 + j + g*p**2 + c*p**4 and give c.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g**3*j**2*y + 259*g**3*j*y**2 - g**3*j*y - g**2*j*y + 25*g*j**3*y**2 - 2*g*j**3*y - 451*j**3 wrt y.\nAnswer: 518*g**3*j + 50*g*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -95. Suppose -4*x - k = 2*k - g, 2*x + k = 43. Let n be -5 - -1 - -1 - -113. What is the greatest common factor of x and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - -12. Let o = s + -14. Let h = 4 + 0. Which is bigger: h or o?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 23433.34 centuries?\nAnswer: 234333.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 28\/(-49) - (-39)\/7. Suppose 24*u - 25*u + o = 0. Let z be u + 2 + -2*1. Solve 0 = -4*y + 4*c + 4, -4*c + 5 = z*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - h**3 + 51*h - 78*h - h**3 + 7*h**2 + 29*h as g*h**3 + p*h + q*h**2 + l and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-3 + (4 - -4)) - 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + (sqrt(539) - (-3 + sqrt(539))**2) + -1.\nAnswer: -549 + 50*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34455?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 662585 and 14444353?\nAnswer: 72221765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 17*y**2 - 17*y - 18. Let d be z(18). Suppose 2*p - 12 - 78 = d. Is 15 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 57 + 539*p - 631*p + 32.\nAnswer: -92*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/1892982 and -113\/18.\nAnswer: 5678946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11 + -352?\nAnswer: -341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, 0.3, 1, -13?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 2*k**3\/3 + 88985436*k**2 - 2*k\/3 - 88985436 = 0?\nAnswer: -133478154, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 354214031?\nAnswer: 73, 4852247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2512902144?\nAnswer: 2, 3, 53, 7717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-24))\/((-36)\/(-18))*1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36 + 39. What is the second derivative of -6*q + q**3 + 17*q**3 + a*q wrt q?\nAnswer: 108*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -8*f**2 + 1. Suppose l + 2 - 4 = 0. Suppose 5*p + 3*a = -1, 3*p = 2*a + l*a + 11. What is v(p)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-290275)\/68)\/25*(-49 + 1). Is r greater than or equal to 8194?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-60)\/9)\/(3\/(-9)) + 0. Solve i + z = -4*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5545235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 134*d**3 - 5229 - 163*d**3 + d + 174*d**2 + 5230 in the form h*d**2 + a*d + k + w*d**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(4\/3))**15 assuming l is positive.\nAnswer: l**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**2 + 3*p**2 - 5*p**2 + (1 - 1 - 6*p**2)*(0 - 1 + 4) + 5*p**2 + 0*p**2 - 2*p**2.\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/o**(3\/4))\/o*(o**(-5)*o)\/o*(o*o**0*o)**(2\/29) assuming o is positive.\nAnswer: o**(-535\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 5, 3318, 524 in ascending order.\nAnswer: -11, 5, 524, 3318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllnllllnlnlnlnlny. Give prob of picking 4 n.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*b**2 - 25*b**2 + 45*b**2.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(3\/(-2)))\/((-15)\/90).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 times -17.3?\nAnswer: 743.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2784683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 7*v**2 - 2*v + 5. Calculate the remainder when q(-6) is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 10 = -2*l, -7 = -f + 2*l + 3. Put -13, 4, f in descending order.\nAnswer: 4, f, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 57296*n**4 + 63143*n**2 wrt n.\nAnswer: 1375104*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, q: 4, g: 3, m: 1, w: 2, f: 3}. What is prob of sequence oo?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 98?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 467, 926, 1381, 1832, 2279, 2722, 3161?\n\"Answer: -2*c**2 + 465*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**3 - 41*w**2 - 21*w + 3. Let u = -37 + 58. Let c be b(u). Which is smaller: c or 29\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 52 + 68. Suppose 12*c + k = 8*c. Let w(g) = -5*g**2 - g + 2. Let x(n) = 9*n**2 + n - 3. Let t(s) = -11*w(s) - 6*x(s). What is t(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + (-3 - -2) + 4. Suppose -b*a + 3*a - 17 = -2*i, -13 = -i - a. Let v(s) = i*s + 2*s**2 - 10*s. Let t(z) = 2*z**2. Calculate v(t(h)).\nAnswer: 8*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(3\/7)\/(g**(-2)\/g)*(g*g\/(g\/(g*g**(-3\/8))))\/g**0*((g\/g**0*g*g)**(-3\/11))**43 assuming g is positive.\nAnswer: g**(-18559\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44\/3 + -14. Let o = 2.8 - -0.2. Let p = -3 + o. Which is the closest to 0.1? (a) -4 (b) z (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56 by -28.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52 - 27 + 0)*(-c + 2*c + c)*(-4 + 3 + 3).\nAnswer: -316*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 2*p + 4. Suppose x = p*n + 9 + 3, 9 = 2*x + n. Suppose x*o - 2*o - 16 = 0. Solve 45 = -o*z - 5*q, 3*z - 5*q - 12 = -2 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -3\/2230 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00354732552 rounded to 5 dps?\nAnswer: -0.00355","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56534, -113337, -170140, -226943?\nAnswer: -283746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 3*m - 3*u, 12537*m + 161 = 25106*m - 12550*m - 5*u for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -88066091 - 0.4.\nAnswer: -88066091.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 483 (base 14) in base 10?\nAnswer: 899","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3*m - 20, 3*m - 157460860 = -5*t. Suppose -5*j + 2992169 - t = 0. Round j to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1535 and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 22*i**2 - 88*i - 2. What is x(5)?\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -3*o**2 - 1128822684*o - 106186720992746988 = 0.\nAnswer: -188137114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -254*k - 46*k + 309*k - 4*k**2 - 260*k to c*k + g + b*k**2 and give c.\nAnswer: -251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 113826*w + 121208?\nAnswer: 113826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 16*i**2 + i - 1. Let k be b(-2). Let q = k - 27. Is q a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-132.3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 4) in base 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12.9 * -214.\nAnswer: 2760.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27288 is divided by 79.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1356223192.\nAnswer: 2, 19, 8922521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 195387352 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/((6\/28)\/(114\/(-133))). Suppose -3*g = 4*f - 17, z*f - 2*g = 6*f + 12. Solve f*w + 3*y - 40 = -0*y, -5*w + y + 20 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 2*v**2 + 22*v + 14. What are the prime factors of m(-6)?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2 + 6079896*v - 4620641921352.\nAnswer: -2*(v - 1519974)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -250, -3423, -13426, -33673, -67578, -118555?\n\"Answer: -569*l**3 - l**2 + 813*l - 493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4496359?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 7023 = 1320. Suppose 0 = -4*y + h + 315. Suppose 9*s + 180 - y = 0. Does 11 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4205 is divided by 69.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/108 and 51\/825694.\nAnswer: 44587476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -26880, -26847, -26814, -26781?\n\"Answer: 33*f - 26913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 30 = 5*u, 2*u - 3*i = -2*i + 12. Factor 12*w - 3*w**2 + 3 - 9 - u.\nAnswer: -3*(w - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -50677 or -50690?\nAnswer: -50690","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15\/7 + 2\/(-14). Let i(u) = -u**2 + 3*u**l + 4*u**2 + u**2. Let f(x) = 2*x**2. Calculate f(i(r)).\nAnswer: 98*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 0 - (-13 + (-2 - -2)). Suppose 1622 = u*a - 1693. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -723 + 1649. What is the hundreds digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11682 and 143297253.\nAnswer: 5841","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 13. Let a(l) = -3 + l + 2*l**2 - b*l**2 - 4*l. Suppose 5*j - 4*v = 57, 5*v = 3*j - 8 - 34. Let c(r) = -5*r**2 - 7*r - 7. Determine j*a(p) - 4*c(p).\nAnswer: 2*p**2 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*s + 516 + 144. Calculate the smallest common multiple of s and 33.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 686762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/16 + (-1)\/(112\/12*8686\/41713).\nAnswer: -6\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/11 and (21\/(-14))\/((-5)\/(-22)).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from {q: 5, j: 1, v: 3, w: 9}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 104 + -106. What are the prime factors of (d + 608\/3)*12\/8?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49853.\nAnswer: 49853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 428?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 3)*(4*y - 4*y + 5*y) + 0 - 2*y + 0.\nAnswer: 18*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3659 times 4.53\nAnswer: 16575.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -5*p**3 + p**2 - 3*p - 4. Let f(v) = 6*v**3 - v**2 + 4*v + 5. Suppose -5*i + 2*i = -15. Give i*d(y) + 4*f(y).\nAnswer: -y**3 + y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2 - 10*w + 7*w + 2*w. Let r(x) = -x**2. Determine r(y(n)).\nAnswer: -n**2 - 4*n - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 20 (b) 2\/13 (c) 86 (d) 5\/4 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24427136?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 945 divided by 15?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.86 - -3.79. What is the biggest value in 1, 4, -27, i?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -15, -0.5, -1\/10, -5?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 1165*z + 5823. Calculate i(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -9. Let z be (-1)\/3 - (-145)\/s. Suppose r - 3*h = -3, -3*r - 3*h = -h - 46. What is the greatest common divisor of z and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/53)\/f)**(-1\/8)\/(f**(1\/6))**(-16))**(-9\/4) assuming f is positive.\nAnswer: f**(-10635\/1696)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 2*b + 14. Suppose 3*a = -b*j - 0*a + 642, -165 = -j - 3*a. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 10 = -0*p. Let j(b) = -2*b - 710*b**2 + 355*b**2 + 358*b**2 - 5. Does 30 divide j(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -236, -333, -358, -275, -48, 359?\n\"Answer: 6*h**3 - 139*h - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3\/10, -5, 5, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 105 (b) 1\/19 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -337, -674, -1001, -1312, -1601, -1862?\n\"Answer: r**3 - r**2 - 341*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -30822b - 1?\nAnswer: -308230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/272011 + 457250497\/1632066. Solve -s - 1\/6*v**2 - 41\/3*v = 0.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p + d - 32 + 30, 3*p + 2*d - 13 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -15b (base 14) to base 16\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 9*g**2 + g + 8. Let h(d) = -2*d + 2. Let a be h(-3). Let i be b(a). What are the prime factors of (i\/40)\/((-4)\/10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2352373112?\nAnswer: 2, 367, 801217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0999951 - -0.1. Round j to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(7) + -1 - (2*sqrt(252))**2.\nAnswer: -1009 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 12 = -3*m, -1 = 2*m - 5*c - 3. Suppose -3*v = -m - 3. What is the third derivative of 6*p**6 - 17*p**2 + p**6 + 3*p**3 - 3*p**v wrt p?\nAnswer: 840*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*h - 3*l - 36, 0 = -4*h - 4*l + 88. Let t = -10 + h. Let u be 75\/(-10)*t\/(-5). Solve m = 5*m - u for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/35 and 67\/42.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -128589 or 1890?\nAnswer: 1890","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y**2 + 7*y**2 - 8*y**2 + 4*y.\nAnswer: -8*y**2 + 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 785079?\nAnswer: 3, 29077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-75))\/((-18)\/900)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 65 + -61. Suppose 0 = -b*v + 10*v - 18. Put -5, v, -3 in ascending order.\nAnswer: -5, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-6)\/g**(4\/5))**(-31)*g\/(((g*g**(1\/8))\/g)\/g*g)*g**(-3\/10)*g**3\/(g**(-4)*g) assuming g is positive.\nAnswer: g**(1739\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11011000122 + 2021202?\nAnswer: -11001201220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27938290?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141478*u + 141476*u = -4*l - 44, 7 = 3*l + u for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/852 and -17\/2556.\nAnswer: 2556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -211 + 11722. Let t = -276341\/24 + j. Find the common denominator of t and 62\/189.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -143281\/21 + 6823. Factor g*l**2 + 8\/21*l + 8\/21.\nAnswer: 2*(l + 2)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/6804 and 55\/252?\nAnswer: 6804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 25 = -0*u. Let k(c) = c**2 - 4*c + 3. Let q be k(u). What is the highest common factor of q and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 945*h**2 - 45120*h - 642*h**3 - 646*h**3 + 34104 + 1283*h**3 + 10076 = 0. Calculate h.\nAnswer: 1, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2619*t - 31418. Give a(12).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -198930, -194639, -187486, -177471, -164594, -148855, -130254?\n\"Answer: 1431*j**2 - 2*j - 200359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 + 42*i - 5. Let h(u) = -4*u**2 + 126. What is v(h(t))?\nAnswer: -16*t**4 + 840*t**2 - 10589","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 250208 and 40?\nAnswer: 1251040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 0.22.\nAnswer: 0.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3484 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11987, -95903, -323673, -767225, -1498487, -2589387?\nAnswer: -4111853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22448? (a) 0.8 (b) 3 (c) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 336137 to the power of 1\/3, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l + 2. Let r(s) = s**3 + 13*s**2 + 5. Let f(h) = h**3 - 12*h**2 + 9*h + 9. Let g be f(11). Let y be r(g). Determine d(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of l**4\/14 - l**3 - 54*l**2\/7 - 246*l. Factor k(b).\nAnswer: 6*(b - 9)*(b + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}