diff --git "a/data/dm_maths/full_data/1346_11255.jsonl" "b/data/dm_maths/full_data/1346_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1346_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let m = 0.5 - 1.3. Which is the nearest to 0.1? (a) 0.5 (b) m (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 5*m - 35, 0 = -7*n + 8*n + m - 23. Is 4 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -h**7\/42 + h**5\/4 + 5*h**4\/12 + 35*h**2. Let r(y) = 0. What is y?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of -i**8\/3024 + 2*i**7\/945 - i**6\/216 + i**5\/270 - i**2 + 32. Factor x(m).\nAnswer: -m**2*(m - 2)*(m - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**2 + 438. Let u(m) = -14307 + 7149 + 7158 - 4*m + m. Calculate t(u(n)).\nAnswer: -18*n**2 + 438","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cd when two letters picked without replacement from idiicfdfcnic?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j**2 - 3*j. Let l be q(3). Suppose -4*g + 1 = -3, 6 = t + 4*g. Suppose 0*b - l = -t*b. What is the remainder when b is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -373*j - 1492. Let o be y(-4). Solve o = 5*u + 19 - 29 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -92 + 44. Let f = 48.1 + r. Which is the third biggest value? (a) 0.7 (b) -4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.16 - -0.87. Let u = a + 1.1. Round u to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6824?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 4 = -4. Let b(r) be the second derivative of o + 1\/6*r**3 + 4*r + 3*r**2 - 1\/2*r**4 + 1\/20*r**5. Calculate b(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(2\/(63 - -11)). Is 17 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 12:32 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 3*a + 4. Let b be o(4). Let i = 12 - b. Is 2\/5 - 652\/i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/163896 and 115\/2335518.\nAnswer: 9342072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - -3*sqrt(117)*2) + sqrt(117)*-1*5)\/(6*sqrt(90)\/(sqrt(10) + sqrt(30)\/sqrt(3))).\nAnswer: 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3765.951 years?\nAnswer: 376.5951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 0.4, -0.3, 0.1, 155, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2514 and 796602?\nAnswer: 333776238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**43)**2\/(p**(7\/2)\/((p\/(p**21*p))\/p)) assuming p is positive.\nAnswer: p**(121\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*j, 501*k + 30188 = 502*k - 3*j. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 - 2*u**3 + (5*u - 5*u - u**3)*(-3 + 3 + 2) + (-u**2 - u**2 + u**2)*(u - 2 + 2) + 63 - u**2 - 5*u**3 - 63 as d + o*u**3 + l*u + i*u**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90)\/sqrt(5)*4 + -2*sqrt(288))\/(sqrt(294)*-1*-3 - 5*-1*sqrt(294)))**2.\nAnswer: 3\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a**3 - 26*a**2 + 4*a - 11. Let k be w(9). Let b = 118 - k. Does 6 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, b: 1}. What is prob of picking 3 n?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4212 and 6.\nAnswer: 4212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -535224 or -535185?\nAnswer: -535185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**3 + 4*s**5 + 3*s**3)*(-17 - 41 - 942 - 539).\nAnswer: -6156*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-891)\/231*1\/(-3)\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - -6. Suppose 2*x = a + 1. Let w(p) = p**2 - 2*p - 5. What is the units digit of w(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 44084395?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1, 1, 5, 13, 25?\n\"Answer: 2*l**2 - 6*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 52*h**2 - 1. Let o be u(1). Let f = -27 + o. Let i = 12 - -1. Calculate the remainder when f is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 9090004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1738, 3483, 5228, 6973?\n\"Answer: 1745*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/12*1587\/2116?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = 34 - 20 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30979\/18 - -1722. Calculate the common denominator of ((-11)\/(-24))\/((-2)\/(-28)) and r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 24868 = 1866 - 1687. What is the hundreds digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -351*r - 714 + 4926 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 4*x - 4*x - x - 2 + 2 + 0*x - x + 2*x + (-2 - 1 + 1)*(0 + 2*x + 0))*(5*x + 2*x - 2*x).\nAnswer: -25*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2624)\/(-410))\/(10\/25).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29 - -22) + -75 + 5 + (7 - 10)?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h + 5*h**3 - 4*h**3 - 12*h**2 - 3*h**3 + 13*h**2 in the form l*h + f*h**3 + d*h**2 + n and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -293, -859, -2387, -5357, -10249, -17543, -27719?\n\"Answer: -80*u**3 - u**2 - 3*u - 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4475760522 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i**5\/3 + 20*i**4\/3 - 230*i**3\/3 - 20*i**2\/3 + 75*i = 0 for i.\nAnswer: -9, -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n. Suppose -4*t = -4*m + 5 - 13, 2*t + 2*m = -8. Let s(g) = -6*g. Calculate t*s(a) + 5*y(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.95 - -4. Let f = d - 0.05. Let y be 5\/((-30)\/(-4))*1. Sort f, y, 3.\nAnswer: f, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qwh when three letters picked without replacement from wzbqhhq?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -60704 divided by 167\nAnswer: -60704\/167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(38)\/sqrt(2) + sqrt(304)*1 - sqrt(57)\/(sqrt(243) + sqrt(243)*-3))**2.\nAnswer: 182*sqrt(19)\/9 + 158635\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 50270, 3 in increasing order.\nAnswer: -1, 3, 50270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of -31*t**8\/336 - 7*t**4\/6 - 22*t**2. Find the second derivative of i(k) wrt k.\nAnswer: -620*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000046884 to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 57*q**2 - 27*q + 8. Is m(-14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 2*y + 3. What is the least common multiple of 22 and y?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) -0.3 (c) 4 (d) -3\/7 (e) 82498 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 22 - 20. Let h(c) = 3 - 6*c**s + 13*c**2 + 38*c**2 + 8*c. Is h(-2) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**3 + p**2 + 4*p. Let b(t) = -5*t**3 - 3*t**2 - 9*t. What is 4*b(x) + 9*h(x)?\nAnswer: -2*x**3 - 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 + 0*r**2 + 2*r**3)*(-6 + r - 31 - 8).\nAnswer: 2*r**4 - 90*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.6 (b) 196 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61492.\nAnswer: 2, 15373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 50 + -51. What is the third smallest value in -4, 0.21, r?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 2, -5*h - 6880586 = 4*x - 357078. Round h to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/5*(-60)\/(-18). Suppose -5*q - a = -3*a - 67, q + 1 = g*a. Does 5 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 55*k - 3. Let m(z) = -z**2 - 25*z + 118. Let f be m(-29). What is the tens digit of i(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -60.8 or 142253?\nAnswer: 142253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17960 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f\/(f\/f**(2\/9)))**(-31)\/(f\/((f**1\/f)\/f*f*f))**(-29) assuming f is positive.\nAnswer: f**(-620\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 4*y + 20 + 2 = 0, -4*y + 24 = -4*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14779186 is divided by 369?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1234, 1322, 1412, 1504, 1598, 1694?\nAnswer: 1792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vq when two letters picked without replacement from romvoovroomqvqofoooq?\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + 11*c + 14. Let k be w(7). Let u be (-140)\/k*(11 + -2). Let p be 78\/9 - (-20)\/u. Solve -13*r = -p*r - 20 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -3. Let a = 0.2 - o. Sort 2, a, 3 in decreasing order.\nAnswer: 3, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/5)\/((w*w**(-5))\/w*w))\/(w*w**(10\/3)*w**(-5\/7)) assuming w is positive.\nAnswer: w**(19\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 90 + 38. Let x = r - 131.8. What is x rounded to zero decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 * 144\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -120155, -120156, -120157, -120158, -120159, -120160?\nAnswer: -120161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 36*l**2 + 35*l + 14. Let u be g(35). Solve 11 = -5*n - u for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 343 - -522. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5786?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 135 = x. Suppose -q = 2*q - x. What is the remainder when q is divided by (1*-4)\/((-5)\/10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/5)\/(-5 + 6 - 2)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from teejtttututteejeu. Give prob of sequence eee.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + s + 5)*(2*s**2 + s**2 + 5*s**2) - 2*s**3 - 2*s**3 + 2*s**3)*(-5 + 5 - 1 + (-3 + 2 + 2)*(-2 + 0 + 1) - 3 + 2 + 0)*(0 + 0 - s).\nAnswer: 18*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 739 - 729. Suppose 4*k = 3*u + 4, -4*k - k + 5*u = -i. Sort -1, k, -84 in increasing order.\nAnswer: -84, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -1\/6, 3, -5\/3, 1\/2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(102) - (sqrt(102) + (sqrt(102) + 1*sqrt(102)*4 - sqrt(102)) - sqrt(102))) + sqrt(102)*4*-2)\/((-1*sqrt(42))\/sqrt(7) - 1*sqrt(384)))**2.\nAnswer: 2057\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -501*l - 9024. Calculate v(-18).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/51, -2, 1\/7, -7\/30 in increasing order.\nAnswer: -2, -1, -7\/30, 2\/51, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -99*j + 25. List the prime factors of l(-7).\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqbqbnbqbqqbbqbbqbb. What is prob of picking 1 q and 1 n?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -121 - -174. Let r = 36 + h. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11204313 (base 5) to base 13.\nAnswer: -36a22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of 17*l**8\/168 - l**7\/210 - 43*l**4\/12 + 38*l**2. What is the second derivative of h(b) wrt b?\nAnswer: 680*b**3 - 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -65 - -190\/3. Are -2 and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 d when three letters picked without replacement from pkkkdppdkpkkkkkk.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 486868623.\nAnswer: 3, 23, 7056067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11968*o + 11973*o + 10 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.07 + -4.07. Let g = 0.317 + -0.351. Let r = 0.966 - g. Which is the smallest value? (a) u (b) r (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, 72, 166, 260?\nAnswer: 354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1937011799?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2914 = -2*t + 4*z + 21076, -5*z = -t + 9087. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1090\/(-49050)*(-15)\/(-3)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-4*(2*sqrt(153) - sqrt(153)))\/(-2*sqrt(225) - sqrt(9)))**2.\nAnswer: 151\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y + 2 - 2)*(2*y**2 + 0*y**2 + 4*y**2) + (-3*y + 3*y - 2*y**2)*(-7 - 2 + 5)*(-y + 3 - 3) to k*y**2 + h + m*y + a*y**3 and give a.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -385360.\nAnswer: 1\/385360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(66)*2 + sqrt(66))\/sqrt(6).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7399440*b**3 + 4627752?\nAnswer: 22198320*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 897*y + 915. What is the units digit of m(16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6351862?\nAnswer: 2, 11, 47, 6143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*d + w = -27*d + 1900, 5*w = -3*d + 828. What are the prime factors of d?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, 4, 0, 2, -1 in ascending order.\nAnswer: -1, 0, 2, 4, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20013737 is divided by 111?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccooocooocooooocco. What is prob of picking 2 o?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-1*sqrt(1911)*1)\/(sqrt(12)\/(sqrt(180)\/sqrt(5)))*-4)**2.\nAnswer: 458640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 3*f + 2 - 1 = 0, -k - 2*f = 6. Suppose -5*y + 132 = k*c - 27, -3*c + 58 = 2*y. List the prime factors of y.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36452 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 164 - 125. What are the prime factors of u?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/587 and -47\/8?\nAnswer: 4696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86\/(-8)*-4 + 5 is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 79180574.379 - 79128812. Let k = 51759.47900244 - r. Let x = k - -2.9. What is x rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2430 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 5*f = 365, -2*b - 2*f + 356 = -0*b. Let d be 3\/(-2)*-25*(-2)\/(-3). Calculate the greatest common factor of d and b.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((sqrt(38) - -1*sqrt(3800)) + sqrt(38))*1)\/(sqrt(8)\/sqrt(4)*-4 + (sqrt(200) + 1*sqrt(200) + sqrt(200) + sqrt(200) - sqrt(2))).\nAnswer: -3 + 12*sqrt(19)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -2. Put s, -2, -2\/13 in descending order.\nAnswer: -2\/13, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 66 (b) 4 (c) -29\/5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21226 + 63148. What is the thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -10.7. Which is the smallest value? (a) i (b) 0.1 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lc when two letters picked without replacement from {b: 3, j: 2, c: 5, a: 6, l: 2}.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -9. Suppose -1 = v - x. Suppose 5*h - v - 64 = -5*y, 3*h = -4*y + 54. What is the smallest common multiple of y and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1789*b**2 + 4782*b?\nAnswer: 3578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 a when three letters picked without replacement from {a: 2, s: 1, f: 3, k: 4, r: 6, u: 2}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 5*f + 2 + 3*f**2 - 3*f**2 - f**2. Suppose 0 = -5*h + 4*n + 21, -5*h + 2*n - 5 + 28 = 0. What is g(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18*(-4)\/(16\/10). Let b = o + 52. Suppose 8 + 16 = 2*z - 5*v, -4*z = 5*v - 48. What is the remainder when z is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 6:10 PM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-46)\/(-2)*-3*25303\/25303.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -5*a**3 - 22*a**2 + 10*a + 16. Is g(-5) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 208 and 2403440.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - 24*g + 48. Let a be c(22). Let p = a - 0. Factor -1 + 7 + 12*f**2 + 0 + 0*f - 2*f**p + 16*f.\nAnswer: -2*(f - 3)*(f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/2 + 0 + 271. Let b(d) = d**2 + 14. Let n be b(5). What is the greatest common divisor of a and n?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 91 + -191 - -128.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b + 9. Let r be q(7). Is (1\/r)\/((-3)\/(-144)) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in -4, 0.1, -2\/148315?\nAnswer: -2\/148315","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q + 1. Suppose -4 = -6*x + 2*x, -3*y - 3*x - 12 = 0. Let j = 5 - 1. Let u(p) = 3*p + 2. Let m(a) = j*u(a) + y*i(a). Determine m(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2589864650507 - 2589865471525.8210137. Let x = l - -820847.821. Let s = x + 171. What is s rounded to six dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-66*l**2 - 19044*l + 19044*l)*(3*l**2 - 2*l**2 + 0*l**2)*(-2 - 2 + 3)*(-1 + 2 + 1) as t*l**2 + z + y*l**4 + d*l**3 + w*l and give y.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + r = 5*x - 30, 0 = 4*r - x - 4. Let u be 14\/35 - (-32)\/(-5). Let g = u - -8. Solve -8 = r*q + g for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*x**6 - 39340*x**3 + 493*x**2 + 2*x + 8.\nAnswer: 240*x**3 - 236040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3408 + 1703. What is u rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dibukid. Give prob of picking 1 b and 1 d.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20131 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 25390 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.252? (a) -1\/2 (b) -1 (c) 0.3 (d) -5 (e) 124\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 197 and 3292658.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 692\/(-159) - 26\/(-6). What is the biggest value in -0.044, i, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2b9 + 6?\nAnswer: -2b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/10 of a second?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*m + 4*m - 2*m)*(-4*m + 5*m + m + m - 4*m + 4*m + (3*m - 8*m + 2*m)*(3 - 5 + 1))*(-1 + 2 - 2) in the form y*m + b*m**2 + r and give b.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 971199 is divided by 194236?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*a = 20*a - 141 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3588)\/286 - (-7 - 5).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -6 - 10. Let a = 6 + m. What are the prime factors of a\/6*(23 + -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4bb + -21?\nAnswer: 49a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -5*i**3 - 20*i**2 + 56*i + 46. Suppose 1 = -2*d - 3. Let a(c) = -c**3 - 4*c**2 + 11*c + 9. Let t(v) = d*h(v) + 11*a(v). Is t(-6) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -94489, -188895, -283215, -377449, -471597, -565659?\n\"Answer: 43*x**2 - 94535*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 3:01 AM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 - -22. Let o = -7.999944 + w. What is o rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33064663, -33064664, -33064665?\nAnswer: -33064666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 11:15 AM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 3*q + 168 = z, -4*q = 16. Calculate the greatest common divisor of z and 972.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*u + 7 = 25 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2470, 2376, 2284, 2194, 2106, 2020, 1936?\n\"Answer: j**2 - 97*j + 2566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1540 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccciciccsis. What is prob of picking 1 c and 1 s?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -49 (base 12) to base 10\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 47 - 33 = -5*d, -f + 20 = d. Let x(p) = -p**2 + 25*p + 25. Let b be x(d). Suppose -383 = -6*u + b. What are the prime factors of u?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 f, and 1 t when three letters picked without replacement from ftsdddtfdtsddtsdtddd.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.0101 to one decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 353*c + 223*c + 433*c - 79*c - 2 - 42*c.\nAnswer: 888*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, r: 1, i: 3, h: 4, l: 4}. What is prob of sequence lli?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 at most as big as 47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -0.3, 98, 3\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/(-2))\/(0 + 2). What is the units digit of (-3)\/(2 - q)*-3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13268459?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.16 (b) 1\/4 (c) -3 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 28 = 3*j. Is 10 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 0 + 10 = 0, 5*u + 16*t = 9*t + 4*t + 16 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 1:37 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/60 and -29\/790?\nAnswer: 4740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -9*g - 92. Let x be d(-10). Is (1410\/18)\/(x\/(-6)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14964\/1806 - ((-16)\/14)\/(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -529 and 0.08.\nAnswer: -42.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -85 + 88. Suppose n + 1 = -2*k, 3*k - 1 + 16 = 3*n. Suppose -2*c = n*l - 10 + 2, -b*l = 0. Solve -5*g = -3*y - 32, -1 = -c*g - 3*y + 3 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 6\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**3 - 7*c**2 - 2*c + 57. Let d(z) = -2*z**2 + 2*z + 60. Let k be d(6). Is l(k) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*f - 222*f + 51*f + 56*f + 57*f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b - 5*b = -40. Solve -2*l = -4*s + b, 3 - 1 = s - 2*l for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -7*b**3 + 5*b**2 + 6*b - 1. Let f(c) = 6*c**3 - 4*c**2 - 5*c + 2. Let i(g) = 6*f(g) + 5*r(g). Give i(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from oxooxxx.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 77*w + 2 + 74*w + 3 + 101*w - 277*w. Determine q(1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-109 + 109 - 18*b)*(b**3 + b**4 - b**3) + 11*b**2 - 12*b**5 + 12*b**2 - 26*b**2.\nAnswer: -30*b**5 - 3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4975925045?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 241057963.\nAnswer: 23, 2917, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 58757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 5\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*k - c - 30, 3*c = k - 11. What is the remainder when 22 is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 7*m = -2*m. Calculate the remainder when m + (5 - 1) + 83 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - f**2 - f + 7. Suppose -2*a + 7 = 2*u + u, -5*u = 3*a - 10. What is the remainder when (-1)\/(-3)*u*-39 is divided by c(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -3*m**6\/40 - m**5\/10 + 12*m**2. What is v in x(v) = 0?\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) -72 (c) 184 (d) 2 (e) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*h - h + 3*h)*((4 - 3 + 1)*(-1 - 4 + 3) - 1 + 0 - 1 - 2 + 1 + 3 + 10 - 2 + 5) in the form w + v*h and give v.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**3 + y - y)*(-y + y - 3*y) + 29*y**2 - 274*y**4 + 4*y**2 + 275*y**4.\nAnswer: 4*y**4 + 33*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84 and 3103548?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -83625*o**3 - 418127*o**2 - 10*o.\nAnswer: -o*(o + 5)*(83625*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1008630 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9833 is divided by 183?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-66)\/4*(-15)\/(270\/12)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -7*g + 53. Let o be d(7). Find the second derivative of 6 - 216*h**3 + 216*h**3 + 9*h - 127*h**o wrt h.\nAnswer: -1524*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -301 + 59*t**2 - 301 + 598 wrt t.\nAnswer: 118*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -4*w + y - 21, 0 = -5*w + 4*y - 18. Let b(r) be the first derivative of -2*r**2 + 7*r + 51. Is b(w) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6494560 rounded to the nearest ten thousand?\nAnswer: 6490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 6*a - 2*z - 420, -z = 3*a - 315. Is a >= 105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -33 + 34 + -620 + 1. Is y smaller than -621?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.5 + -1.3. Let y = 4.7 + -5. Which is the second biggest value? (a) -4 (b) q (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9937664 a multiple of 352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -1, -3, 6, 5 in descending order.\nAnswer: 6, 5, -1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1327555166 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 8 = 2*a, 4*o = -5*a - 0*a + 16. Suppose 2*l = -a*l + 4, x = -4*l + 52. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7397633?\nAnswer: 7397633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -16*w - 45 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (13 + -7 - (6 - (-11 + 2)))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 12 = 6*j. Suppose -9*p = -j*p + 24. Which is smaller: -5 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 258028\/3 or 86009?\nAnswer: 86009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 10*f = -7*f + 273, 328 = 4*s + 5*f. What is the greatest common factor of s and 2842?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 696 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 7*c**2 + 13*c + 16. Let g be j(-8). Let y be (g\/(-16))\/(6\/(-16)). Do -17\/5 and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 2 = -3*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48485 is divided by 623?\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(1*sqrt(180)*3)\/sqrt(10) - (sqrt(162) - -3*sqrt(162)*-2)\/(sqrt(63)\/(sqrt(7)*-1)))*1)**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1028.31 to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*z**5 - z**3 - 18*z + 1 wrt z.\nAnswer: -160*z**3 - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 + 0.2. Let b = 2.5 - 2.4. What is the closest to 0 in 5, b, g?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*z + 87*z + 16 + 58 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 4:33 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -33 + 30 + -5 + -22\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c. Let a(f) = 18 - 4*f**2 + 6*f**2 - 19 + 2*f. Give -a(t) - 3*i(t).\nAnswer: -2*t**2 + t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237*n + 745 = 266*n + 194 for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -60*k**2 - 77*k + 131. Give i(2).\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-11254)\/(-4176) + 3 + -5 + -2. Let h = y - -7\/522. What is the common denominator of -29\/30 and h?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 6*b + 1495. Let w(k) = 3*k + 754. Give -6*v(c) + 11*w(c).\nAnswer: -3*c - 676","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, -0.3876, 1 in ascending order.\nAnswer: -45, -0.3876, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/42)\/(987\/846). Are z and -0.18 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 254 + -6329?\nAnswer: -6095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, 33323, -1, -1\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/181, 1, -0.6, -1\/3, -0.2, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2490?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 6 = -3*c. Suppose -3*a + 0 + 3 = -5*l, 3*l - 5 = -c*a. Let d = a + 2. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1988? (a) 4 (b) -29\/2 (c) -4.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 72*u + 804. Let h be b(-11). Let t(r) = 8*r - 98. What is t(h)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {g: 2, b: 11, j: 6}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 4:42 AM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 35 - 35 = 0. Let a be n\/42 - (-1)\/(-2). Let u(b) = b**3 - 7*b**2 + 7*b - 7. Let o be u(6). Which is bigger: a or o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2242211300 (base 5) to base 9\nAnswer: 10428248","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of j**2\/2 - j + 9. Let q be 32\/(-128)*5*(1 - 5). What is h(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**2\/5 - 5446*u\/5 + 3135984\/5 = 0?\nAnswer: 827, 1896","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 126*j**3 + 3440*j + 584*j**3 - 5010*j wrt j?\nAnswer: 4260*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 122, 231, 340, 449, 558, 667?\nAnswer: 776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21 - 102?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*b**2 - 130*b**2 - 32*b**3 + 26*b**3.\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3432, 3430, 3428, 3426, 3424, 3422?\n\"Answer: -2*c + 3434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -159421663, -159421662, -159421661, -159421660, -159421659, -159421658?\n\"Answer: y - 159421664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 < -8266891?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 10140*v - 334662. Determine k(33).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) -2\/5 (c) -1\/7 (d) -14.39 (e) 7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 3.4 (b) -36 (c) 42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -294 + 294. Let o = -13.8 - 0.2. Is o >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/107385480 and -87\/3977240.\nAnswer: 107385480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -o - 42. Suppose -3*x + o + 8 = 2*i, 2*x = 3*i + 29. Calculate the least common multiple of x and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -6\/1063, -1, 0.4, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 25*a*j**3 + 330*a*j**2*t**3 + 3*a - j**3*t + 51544055*t**3 wrt a.\nAnswer: 25*j**3 + 330*j**2*t**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -174684884 + 598994473432\/3429. Let s = -126\/127 + v. What is the common denominator of 41\/18 and s?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7997 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2832161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-57)\/2166*-779)\/(4\/(-8)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 4)*(-2*d + 3 - 3) - 7*d - 2*d + 7*d + 3*d + 0*d + 2*d + 5*d - d - 6*d.\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 + 0.3. Let h = -52656 + 52655. Which is the third smallest value? (a) 1\/5 (b) -5 (c) k (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 438*a**3 + 6*a**2 + 54*a wrt a?\nAnswer: 2628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-2 - -5) + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -2*i. Suppose i = 4*a - 6*a + 16. Let k(z) = -a*z - 4 + 9*z + 5. Determine k(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 962 and 22118711.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -74 - -71. Which is the biggest value? (a) 15\/4 (b) h (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 6:04 PM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -207, -1 in increasing order.\nAnswer: -207, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.594 - -0.406. Let h = 5 + 3. Let j = 4 - h. Put x, 1, j in descending order.\nAnswer: x, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**5 + 0*p**3 + 0*p**3 + (-p**3 + 1 - 1)*(3*p**2 - 4*p**2 - p**2) + 38*p**4 - 122*p**5 - 38*p**4 + (p - p + 2*p)*(-2*p**4 + 0*p**4 + 3*p**4).\nAnswer: -121*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12806 = 4*f + 3*s - 12826, -4*f + 4*s + 48 = 0 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**5 - 6*r**4 - r**3 + 8*r**2 - 8*r + 8. Let u(o) = -o**4 + o**2 - o + 1. Let b(g) = -3*q(g) + 24*u(g). Factor b(s).\nAnswer: 3*s**3*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 595 + -467. Suppose 0 = 18*v + 38 - h. Solve -5 = -4*t + v*f - 2, 2*f = 3*t + 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 9:02 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, r: 5}. What is prob of sequence ur?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133 (base 4) to base 14.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1232 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-56)*4)\/((-1)\/1)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000005040564 to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156)*5 + sqrt(156) - sqrt(156))\/sqrt(3))\/sqrt(4).\nAnswer: 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*u = 2*r - 96*u + 33, 14 = -r - 2*u for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 18 + 17 = -4*p, 5*p + 2*d + 15 = 0. Let a = -2 - p. Sort a, -2, -5 in decreasing order.\nAnswer: a, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*2030.\nAnswer: -24360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33 - -67\/2. Let q = 115\/159 + -3\/53. Which is the closest to 4? (a) x (b) 1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -3*v + 29. Let u be a(12). Let t(j) = -7*j - 38. What is the lowest common multiple of t(u) and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 156.5548 and -6.\nAnswer: -939.3288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-256)\/192)\/((-120)\/(-27)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 53020453629.4 + -0.628\nAnswer: 53020453628.772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 6*b**2. Let v(h) = h**2 + 2*h. Let r(s) = -4*s**2 - 9*s. Let m(n) = 4*r(n) + 18*v(n). Calculate o(m(y)).\nAnswer: 24*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 4)*((0 + 1 + 0)*(-1 - 1 + 0) - 2 + 4 - 3 + 0 + 2 + 0 - 3 + 0 + 2)*(h + 2*h - h).\nAnswer: -16*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 87*p**2 + 456*p - 146. Let n be q(-92). Solve 48*a - n = 114 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -1 - 3 - 5*f + 3*f. What is the least common multiple of 13 - 4*(-2)\/(-4) and v(-5)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -85 + 103. Let n = -65 - -116. Calculate the remainder when n is divided by t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -258911, -47.\nAnswer: -258911, -47, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = 1034 - 1054 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - r - 2*r)*(-5*r - 6*r + 2*r) + 2*r**2 - r**2 + r**2 + (-2 + 3 + 0)*(-2*r**2 + 1 - 1).\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 2 = -d. Let j(t) = t + 8. Let x be j(d). Let a = 2\/124529 + -124533\/249058. Sort -0.09, a, x.\nAnswer: a, -0.09, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lxwxlldxxcxluxw. Give prob of sequence lxxd.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 4*y - 5*v, 20 - 2 = -3*v for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3968*11\nAnswer: -43648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 9322510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 4, -0.6, 2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a + 14 - 11 + 3 + 5*a**2 as l*a + m + x*a**2 and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 458460663.\nAnswer: 3, 953, 160357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 7*y + 2*y + 2 = 0, 2*v + 13 = y. Let p(z) = -2*z**2 - 16*z + 10. Let w(l) = l**2 + 8*l - 5. Let k(a) = -4*p(a) - 9*w(a). Calculate k(v).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29636698.09 minus -0.33168?\nAnswer: -29636697.75832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 17*q**2 - 20*q + 121. What is the hundreds digit of o(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -82*v + 87*v - 5915. What are the prime factors of v?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 7*w**2 - 5*w + 19. Determine x(8).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91637 is divided by 2701.\nAnswer: 2504","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -36, -161, -488, -1119, -2156, -3701?\n\"Answer: -17*k**3 + k**2 - 9*k - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21812 is divided by 21646?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 231, 221, 203, 171, 119, 41?\n\"Answer: -q**3 + 2*q**2 - 9*q + 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 806 divided by 3\nAnswer: 806\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**2 + 44*y + 324. Determine z(28).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -534 = -5*j - y, 2 = -y + 1. Let n be (-2 - 36\/(-15)) + j\/(-5). Let d = n + 28. What is the remainder when d is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -33*f**2 + 6*f - 127. Determine p(0).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*r)*(13526*r - 4118 + 4118 + 27376*r).\nAnswer: -81804*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3702 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2537272*v**3 - 924904*v?\nAnswer: -15223632*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 102 - 148. Let n = f - -91. What are the prime factors of (4 + n\/6)*4?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zh when two letters picked without replacement from zhpp?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(7) - 6*sqrt(63))**2.\nAnswer: 4046","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhbhbhhhfhhfh. Give prob of sequence hhh.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1513820?\nAnswer: 2, 5, 7, 11, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -443\/3496 + 3\/1748. Which is the second smallest value? (a) 0 (b) 6 (c) -3 (d) f (e) -3\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 7:52 AM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**3 - 4*u**3 - 1074 - 4*u**2 + 7*u**2 - 19*u - 7*u**2.\nAnswer: -u**3 - 4*u**2 - 19*u - 1074","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 l when three letters picked without replacement from {l: 7, w: 5}?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 5, 1, -53, 64 in descending order.\nAnswer: 64, 5, 1, 0, -1, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7998 - -5.\nAnswer: -7993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10\/3 of a decade?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1024984?\nAnswer: 2, 31, 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssssbsybybsbhdsybysb. What is prob of picking 2 b and 1 s?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 53511550 to the power of 1\/2, to the nearest integer?\nAnswer: 7315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.87, 25, 4\/15, 0.2.\nAnswer: 0.2, 4\/15, 2.87, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 310*r + 3364 = 884 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 630, 633, 638, 645?\nAnswer: 654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3 + 4*h**2 - 4*h - h - h**3 + 2*h**2. Determine f(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 593998 and 22?\nAnswer: 6533978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 401365?\nAnswer: 5, 80273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2333 - 2188. Calculate the remainder when 2029 is divided by i.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2934\/(-594) - 6\/99. Put v, -39.5, 2\/15 in decreasing order.\nAnswer: 2\/15, v, -39.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8094 + -5213. What is the thousands digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 15 - 2 - 13 + 10 + 8*b + 2. Let l(y) = -3*y - 4. What is 5*h(p) + 14*l(p)?\nAnswer: -2*p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5046244067?\nAnswer: 19, 317, 643, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 41d476?\nAnswer: -41d47b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 3:51 PM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*o - 0. Let m(k) = -11*k**2 - 2*k - 1. Calculate m(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-28825)\/4*(-15947 - 53). Round k to the nearest 1000000.\nAnswer: 115000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 4:47 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*z + 5640 = -11*z. What is the highest common divisor of 75 and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100 + 1?\nAnswer: -10011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**3 - 40*z**2 + 36*z + 43. Let c be v(19). Solve -3*r = c*h - 6*r + 30, r - 5 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + 3*k**2 + 2. Let n be v(3). Factor -2\/3*z + z**4 - 1\/3*z**n + 4\/3*z**3 + 0.\nAnswer: z*(z + 1)**2*(3*z - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**3 + 16*m - 6*m**3 - 4*m**3 - 13*m. Let j(d) = 15*d**3 - 5*d. Calculate -3*j(c) - 5*k(c).\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -27, -5?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cvlevmeaelclvacllecc. What is prob of picking 1 v, 1 e, 1 l, and 1 a?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - 2038242?\nAnswer: -2038242.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 182 divide 12835368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1840 and 15824?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 8:25 AM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 944426355.\nAnswer: 3, 5, 62961757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t + 22. Let c be s(7). Does 2 divide c + 4 + -6*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*z - 1 + 38*z**2 - 23*z.\nAnswer: 38*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 65002461 to the power of 1\/3, to the nearest integer?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202756?\nAnswer: 2, 173, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5723096119 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 205?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 24667583800 to the nearest 1000000.\nAnswer: 24668000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30) - 4*sqrt(30))*-6)\/(3*sqrt(66)\/sqrt(11)).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 5*y. Let w(x) = 7*x - 18. What is w(d(l))?\nAnswer: 35*l - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i + 2. Let o be n(3). Let p = o + 4. Suppose 2*j + 3*j + 2*m - 63 = 0, 4*j = -p*m + 49. List the prime factors of j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1377 to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 12987*l = -12996*l + 5, 0 = -2*u - 5*l - 3 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (565\/339)\/(7\/(-3))*(-36)\/(-30).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 13) to base 8.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 509 != -0.09?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1299522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 p, and 1 d when three letters picked without replacement from mmmmmmvpdmdmmdmdhdd.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 5*s + 75 = 0. Suppose 0*i = 5*i - 15. What is the smallest common multiple of (-5)\/(s\/(-9)) - -7 and i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/15 - 24374*r\/5.\nAnswer: -2*r*(r + 36561)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 640 and 14930.\nAnswer: 955520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 8:43 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 259 or 239?\nAnswer: 239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*m**3*o - 11*m**3*y**3 - 85*m*o**2*y - 8*o**2*y**3 + 4*o*y**2 - 5*y**3 wrt y?\nAnswer: -66*m**3 - 48*o**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c - 9*c + 2*c + (-4 + 2 + 3)*(-2*c + 0*c + 0*c) + c + 3*c - 5*c)*(-2*c - c + 4*c)*(-20*c + 43*c + 25*c**3 - 21*c).\nAnswer: -325*c**5 - 26*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19 and 167.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x**2 - 1. Let l be t(3). Let h be l\/8 + 10\/(-40). Suppose 4*w - 5*w = -2. Solve -w*s = b - h + 4, 3*s = -3*b for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*s - 4*s + s**2)*(-s - 3*s + 6*s) - s**3 + 0*s**3 + 2*s**3 - 15*s**3 + 2*s**3 + 0*s**3 to p*s**3 + k + j*s**2 + z*s and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 7 = -5*c - 19, -2*z - 3*c = 17. Let l(w) = w**2 + w. Let b be l(z). Solve m - 2*m - 1 = b for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 18 + (2 - (-49 - -14)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 - (-49 + 121) - -22.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**4 - y**3 - y**2 - 5*y + 3. Let q(o) = 4*o - 2. Let k(f) = -3*q(f) - 2*v(f). Factor k(u).\nAnswer: -2*u*(u - 1)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -78.017003 * 0.2\nAnswer: -15.6034006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**5 + 3*r**5 - 2*r**5 + (3*r**5 + 0*r**5 - 5*r**5)*(-2 + 3 - 3) + 2*r**5 + 24056 - 24056.\nAnswer: 8*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 2*y. Let g = -194 - -192. Is y bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -27*j. Let l = -153 + 150. Let p = l + 18. Let a(w) = 4*w. Give p*a(z) + 2*m(z).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12461*q**3*u**3 + q**3*u + 4*q*u**3 + 22*q - 110*u**3 wrt q.\nAnswer: -74766*q*u**3 + 6*q*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5.5, 2\/5, -1\/4, 13\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -243195*l**2. Let s(i) = -3*i**2. What is s(w(b))?\nAnswer: -177431424075*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.81893t to nanograms.\nAnswer: 11818930000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/10*6*(-115)\/(-3381).\nAnswer: 3\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/38546265 and 46\/7709253.\nAnswer: 38546265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 p, and 2 l when four letters picked without replacement from {d: 1, l: 2, p: 2, r: 1, f: 2, u: 1}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 2 + (0 - 4) - 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28790 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 2*k**5\/5 + 98*k**4 - 22002*k**3\/5 + 42526*k**2\/5 - 21016*k\/5 = 0?\nAnswer: -284, 0, 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 4\/17, 159?\nAnswer: 159","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 3 + 0 + 0. Suppose 4*q - f*q = 3. Find the first derivative of 2 + 1 + 5*i**3 - 3*i**q wrt i.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -2*o**5 - 5*o**4 - 25*o**3\/6 - 5*o**2\/4 - 4. Factor t(l).\nAnswer: -5*l*(l + 1)*(2*l + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 19*c**2 - 18*c + 10. Give g(-19).\nAnswer: 352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -190237.6 to the nearest one thousand.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8676 is divided by 3636?\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 401863 divided by 4.\nAnswer: 401863\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50915 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + w - 27840 = 0, 18*w - 5544 = -y + 13*w. List the prime factors of y.\nAnswer: 5569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 6) + 2 - (-7 + 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 6360*u - 10. Let a(z) = 2120*z - 3. Let v(f) = -11*a(f) + 4*j(f). Is v(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -103010 - -130?\nAnswer: -102660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 141329 and 31548280?\nAnswer: 4559","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2229804678 divided by -6?\nAnswer: -371634113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.1, 1, -194\/1287, -2\/9 in decreasing order.\nAnswer: 1, 0, -0.1, -194\/1287, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + f - 2 = 0, -s + 4*f - 5 = -0*s. Let l(x) = 2*x**2 + x + 1. Let y be l(s). Suppose 0 = -y*a - 4 - 2, 2*d - 8 = -4*a. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2850 and 50?\nAnswer: 2850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/5, 3, 3\/2, -147, 4\/7?\nAnswer: -147","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 7) to base 16\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 8 = 2*w - 2*a, 0 = 3*w - 2*a - 17. What is the tens digit of 1\/w - 267\/(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3486*c**2*k**2 + 4*c*k**2 + 2*k**2 + 30*k wrt c.\nAnswer: -6972*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(176) + 0 - ((3*sqrt(1584))**2 + sqrt(1584))) + -5.\nAnswer: -14262 - 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36 + 7. Suppose -a*p = -45*p - 4. Put 1, p, -39, -3 in descending order.\nAnswer: 1, p, -3, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 834451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -37 - 173?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 11 (c) 1 (d) 0.1 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 5 + 5)*(-24 + 65 + 7).\nAnswer: 96*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7659455 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 4*s + 8 = -4, -5*s = -3*x + 31. Let b(i) = i**3 + 3*i**x + 1 + 4 - 10*i**2. What is the units digit of b(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20423 is divided by 1074?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 4)*(4*r - 2*r**3 - 4*r) - 3*r**3 - 3*r**3 + r**3.\nAnswer: -13*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 80052234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -346872, -2775000, -9365630, -22200012, -43359396?\n\"Answer: -346875*k**3 - k**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/24)\/((-1)\/(16\/(-20)))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5905\/3 - 1967. Factor 2*o**3 + n*o**2 + 4\/3*o**4 + 1\/3*o**5 + 1\/3*o + 0.\nAnswer: o*(o + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 1:03 PM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 6:47 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(13))*3)**2 + sqrt(52)\/(sqrt(4) + sqrt(4)*-3).\nAnswer: -145*sqrt(13)\/2 + 261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -125 - -148. Let l be 10\/4*h\/((-460)\/(-216)). Suppose 0 = -24*w + l*w. Solve 7*n - 2*n = w for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 966732 and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**9\/o*o**(2\/5)*(o**2)**(-22))**(2\/117) assuming o is positive.\nAnswer: o**(-356\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of 44\/3*k**3 + 20*k + 0*k**2 + 46. What is the derivative of b(r) wrt r?\nAnswer: 88*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/7, 1, -3\/8, -54, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j + 10 - 3 - 7. Let f(b) = -9*b. What is c(f(k))?\nAnswer: 18*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 5) + -3 + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 243, 5, 3, 4 in ascending order.\nAnswer: 3, 4, 5, 243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 182 and (-3 + 21\/(-4))\/((-12)\/416).\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (90\/(-25))\/(47 + (-19712)\/420)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 12) to base 10.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 24*g + 12. Determine l(17).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/(-216))\/((6\/3)\/(-2)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/11 and 57\/9262.\nAnswer: 9262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + -2 + (-3 - -5). What is the second derivative of 5*v**5 + s*v**4 - 11*v + 0*v**4 + 12*v wrt v?\nAnswer: 100*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1487 and -6.2?\nAnswer: -9219.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x - 8*x - 18 = 0. Suppose 11*c + 5 = x*c. Let k = 0.06 - -1.94. Put c, k, -3 in decreasing order.\nAnswer: k, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 5*z**2 - 2*z + 8. Give p(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 34?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 328*h**3 + 11*h**2 - h + 52633 wrt h.\nAnswer: 984*h**2 + 22*h - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 651419153 to the nearest integer?\nAnswer: 25523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -27, 41.\nAnswer: -27, -1, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v + 8. Let l(t) = 3*t - 315. Give 6*a(z) + 2*l(z).\nAnswer: 12*z - 582","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 - (-16 + (21 - 21 - -8)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -11796, -3, 2 in increasing order.\nAnswer: -11796, -3, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 619*z**4 - z**3 + 990*z**2 - z?\nAnswer: 14856*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 513 divided by 19?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 464523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/16, 0, -603, 1071?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*12\/(-3 + 0). Suppose -2*p = 6, r - 115 = o*p - p. What is the remainder when r is divided by 1575\/135 - 1\/(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 325728 divided by -783\nAnswer: -416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -30 and -1.134254949.\nAnswer: -31.134254949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-12)*(-6)\/(2\/1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*m = 23, -m = 2*v - 46 - 0. Suppose -4*i - 32 = -2*j, -3*j + 11 + 9 = i. Calculate the remainder when v is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 470 divided by -16433.\nAnswer: -470\/16433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 times -1.2\nAnswer: 0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**6\/(d**(-3\/4)*d*d))**18\/((d**4\/d**(-2\/5))\/(d\/(d\/(d*d**(-1\/4)))*d*d*d)**(7\/2)) assuming d is positive.\nAnswer: d**(3769\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 19*a - 86852 = 15*a, 4*w = 4*a + 173632. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q**5\/7 - 62*q**4\/7 - 28*q**3 + 626*q**2 - 1245*q\/7 - 43200\/7 = 0. Calculate q.\nAnswer: -9, -3, 5, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -24*s + 34. Find the third derivative of 16*b + 0*b**4 - 18*b - b**4 + 67*b**3 + 15*b**3 + 3*b**s wrt b.\nAnswer: -24*b + 492","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - 0 - (2 - 0). What is the common denominator of k*94\/(-96)*1 and 101\/18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1286 + 1294. Which is smaller: g or -1\/128?\nAnswer: -1\/128","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 232047985?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.099427 * -0.1275.\nAnswer: -0.0126769425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 - (-12 + -18 + 63 + -15) - (18 - 7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 bigger than 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -249503.45 rounded to the nearest 1000?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 t, and 1 v when three letters picked without replacement from txtxixxtxxtvttvtxtxt?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (5 + (-6*(sqrt(1573) + 1) - (-2 + sqrt(1573) + 0)))**2.\nAnswer: -154*sqrt(13) + 77080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2059826 grams to tonnes.\nAnswer: 0.0000002059826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(700) + -1 + 4 + (2 + (sqrt(1008)*2 - sqrt(1008)) + sqrt(1008))**2 + sqrt(1008).\nAnswer: 118*sqrt(7) + 4042","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, y: 7}. Give prob of picking 4 y.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45333 is divided by 3776.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9024026 is divided by 61?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2730 divided by 1\nAnswer: -2730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 6, 1, 113, 4, 29 in descending order.\nAnswer: 113, 29, 6, 4, 1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-101)\/((-4040)\/(-4400))*(-2)\/(-4)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2170 + 7*t + 2170 + 2129 - 6511)*(-5*t + 3*t - 10*t) as s + u*t**2 + b*t and give b.\nAnswer: 504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1502460 and 375615?\nAnswer: 1502460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1419 is divided by 84?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3701 * 2.\nAnswer: 7402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -195*u - 47575. Determine c(-244).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32625?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l + 21*l = 91410000. Round l to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 4*f - 3*m + 1, -2*f - m = -20. What is the smallest common multiple of f and 11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4090*c - 1 - 21 + 13 + 9 + 2 to the form i + s*c and give s.\nAnswer: -4090","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -14. Calculate the remainder when 22 is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 5*j + 41 = -0*j, 3*x - 4*j = 28. Let q be ((-7)\/1)\/((-4)\/x). What is the common denominator of -109\/22 and (-191)\/q + (-2)\/8?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1383 divided by -3?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 152239397 to the nearest integer?\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r + 1. Let x(w) be the third derivative of w**6\/144 + w**5\/30 + 17*w**4\/24 + 4*w**2. Let a(b) be the second derivative of x(b). Give a(h) - 6*g(h).\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17419.\nAnswer: 17419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w + 10 - 10)*(-31 + 61 + 94)*(3 - 4 - 1) - 4 + 4 - w.\nAnswer: -1241*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -782529, -782519, -782509?\n\"Answer: 10*i - 782539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/((v**(-5\/3)\/v)\/v))\/v)\/v*v**(-2)*(v*(v\/v**(2\/11))\/v)\/(v\/(((v*v**(-1\/5))\/v)\/v)) assuming v is positive.\nAnswer: v**(47\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-80)\/(-28)*1*7\/(-2). Let q be (66\/(-15))\/(4\/n). Solve -2*f + 15 = q for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + -15 - -5) + (-6 - -14).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.572 - 2.442. Let m = 3 + -1. Let o = m + j. Round o to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54808 is divided by 63.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 189549 and 631830?\nAnswer: 1895490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2283*1.5.\nAnswer: 3424.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/129, 15\/4, 744, 5, 6, -0.09?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y + 8. Let l be q(-4). Determine b, given that -l*b**3 + 2*b**3 + 5*b**5 - 3*b**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 200*h. Let m(k) = 6*k. Determine m(b(s)).\nAnswer: 6*s**2 + 1200*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**2. Let g(w) = -5*w - 15*w**2 + 5*w. What is l(g(v))?\nAnswer: -450*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + -4)\/(12\/(-8)). Let g be ((-38)\/3)\/(s\/(-3)). Suppose -2*n + 13 = -g. Is 8 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4 = 2*s, -1 = 5*s + 9. Let v(p) = 311*p - 311*p + u*p**2. Let j(i) be the second derivative of -17*i**4\/12 - 4*i. Calculate j(v(c)).\nAnswer: -68*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 960 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 15*p. Let k be v(3). Let g be 16\/(-10)*(252\/(-8) - 6). Calculate the greatest common divisor of k and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*8\/3*120\/(-400)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33387023 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 362 + -65524?\nAnswer: -65192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1156, -1156, -1148, -1126, -1084, -1016?\n\"Answer: s**3 - 2*s**2 - s - 1154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q\/(q**(1\/11)\/q)*q\/(q\/((q\/q**(-4))\/q))*q**(-25\/4)*q**(2\/69)\/q assuming q is positive.\nAnswer: q**(-947\/3036)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 6 = -6*n + g, -2*g + 3 = 3*n. Let z(h) = -813*h - 3248. Let w be z(-4). Put w, 0, n in increasing order.\nAnswer: n, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 8*n + 3. Suppose 0 = g + 5*w - 3, 0*w = -3*g + 5*w - 31. Give u(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 729\/10, 1.212, -5 in descending order.\nAnswer: 729\/10, 1.212, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68796356.\nAnswer: 2, 17199089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pvp when three letters picked without replacement from {v: 8, p: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or 35383\/4190?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00206383 to 5 dps.\nAnswer: -0.00206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 9:00 PM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -0.06, -18.6, 2 in increasing order.\nAnswer: -18.6, -0.06, 1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8905922 or -8905924?\nAnswer: -8905924","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 7) in base 9?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-2)*2\/(-3). Suppose -34 = -3*f - 4. Suppose f + 10 = 5*v. Solve -v*h - 36 = -5*l, 5*h = -l + x*h - 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 994 - 990.384. Let w = 3.6 - u. Let o = 0.01600456 + w. What is o rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 149808998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18587\/39360 + 226\/205. Calculate the common denominator of q and (1\/5)\/(32\/(-20)).\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38082 and 22?\nAnswer: 38082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s + 14. Let m be v(10). Does 26 divide ((-26)\/m)\/(8\/(-96))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0503 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 3. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1075 smaller than -13994\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 73351698 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -12 + 22 - 23) + 10 + 2 - -39?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o + 2. Let w be d(2). Let c(t) be the second derivative of -t**3\/6 - 4*t**2 + t. Give c(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/4 and -53\/853394.\nAnswer: 1706788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -79*l + 60 + 132*l - 17*l. Let k(i) = -i - 1. Give 60*k(c) + m(c).\nAnswer: -24*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*u**3 - 11*u**2 + 3*u**3 + 1 + 4*u**3 + 4*u**2 to m*u**2 + d*u + n*u**3 + y and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*(-9)\/(-35)*-5.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15570983*d**2*y**3 + 27152287*d**2*y - 4*y**5 wrt y?\nAnswer: 93425898*d**2*y - 80*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4806765 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l**2 + 0*l**2 - 11*l**2 - 18*l + 17*l**2 - 5*l**2.\nAnswer: -4*l**2 - 18*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60432 is divided by 1666.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 divided by -8?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 2. Let m be i(2). Suppose 649 - 87 = 4*s - 3*q, 0 = -m*q - 4. What is s rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110904 = -56*s + 653681 + 58503. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.42*3\nAnswer: -1.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -43.136 - -43. Let a = c + 0.069. Let l = -0.06599 - a. Round l to 4 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -16*w - 11. Let h(g) = 14*g + 10. Let z(i) = -7*h(i) - 6*o(i). Let l be 0\/(2*3\/6). Let c be z(l). Sort -3, -2, c in descending order.\nAnswer: -2, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*15\/(-42) + 1. Let y be (-333)\/1380 - (-1)\/4. Let h = 9\/23 + y. Which is the smallest value? (a) j (b) 1\/11 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3578066*a*h**3*n**2*s + 5*a*h**2*n*s + 5*a*n*s - 4833*h**3*n + 2*n**2*s wrt n.\nAnswer: 7156132*a*h**3*s + 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 2*a - 154 = 0, 0*o - 10*o - 6*o - 7*a + 545 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.3 (b) 2\/11 (c) -6 (d) 0 (e) 0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 21\/8 of a kilogram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26240874 divided by 33.\nAnswer: -795178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1513 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -47?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -4*g**3 - 11*g**2 + g + 6. Let o be r(-3). Let s be 0 - o*2\/(-3). What is the second derivative of -d + d**2 + 22*d - 5*d**2 + s*d wrt d?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (85 - 158 + 86 - 4 + 5 + 0 + (2 + 1 - 1)*(-4 + 2 + 3) + 1 - 2 - 1)*(-26*f**3 - 25*f**3 + 15*f**3).\nAnswer: -504*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.8 + 2.2. Suppose 2*q - 18 = 0, 10*q - 6*q = -2*m + 42. Which is the closest to 6? (a) -5 (b) 1\/4 (c) n (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of b**4\/24 - 7*b**2. Suppose -4*m = 3*k - 4*k - 6, 2*m - 14 = -5*k. Let u(j) = -31 + 31 + j**k. Determine w(u(a)).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2553890, 5107799, 7661708, 10215617?\nAnswer: 12769526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dua when three letters picked without replacement from nydaayuiuaiudu.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 423070 is divided by 226.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17380638 by 6.\nAnswer: -2896773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-3)\/s*s**1*s*(s*(s\/(s\/s**(4\/7))*s)\/s)\/(s*s*s**(-2)*s) assuming s is positive.\nAnswer: s**(-10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22567*-11.56.\nAnswer: -260874.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 d, 1 n, and 1 j when four letters picked without replacement from jddtdnnanaanfaa?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 903470?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4 + g**3\/5 - 4*g**2\/5.\nAnswer: g**2*(g + 1)*(5*g - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s + 13. Let f be i(-9). Let t(o) = o**2 - 3*o - 4. Give t(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 60a0?\nAnswer: 609b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*d**2 - d**2 - d**2)*(-2*d + 0 + 0 - 2 + 2 - 3*d + (3 - 2 + 1)*(2*d + 0*d + 0*d)) as y + i*d + n*d**2 + s*d**3 and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*g + 5*v = 16*g + 6, 5 = -4*g + v for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 21115380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 12*d + 38 + 9 + d**2 - 62. Calculate l(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -660133*a + 330069*a + 330063*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/70*1*(-60)\/(-6)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1313 - -1312.6. What is the closest to -1 in r, -11, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 2*g + 22, 16*s - 12*s + 3*g - 52 = 0. What is the highest common factor of s and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -29 (c) -17 (d) -0.4 (e) -5 (f) 82.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-4 + -5 + 9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrwwiiwirwmrw. Give prob of picking 1 i and 1 m.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 0*q**4 - 3*q**4 + 245*q**3 - 244*q**3 - 2*q**2 - 299*q - 17 + 10 to n*q**2 + o*q + a*q**3 + s + c*q**4 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 1 - 4 = 0. Suppose 2*n - c + 3 = 0. Let z be 3\/2 + n\/2. Let o(v) = 2*v**2. Calculate o(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12840 by 2140.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -9104.04645 from -2166.\nAnswer: 6938.04645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*m + 33*m**3 - 2 - 6*m - 35*m**3 to the form s*m**3 + v*m + z*m**2 + h and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -fa41 (base 16) to base 4\nAnswer: -33221001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h + 5. Calculate the remainder when s(-8) is divided by 1*-2 - (-5 + -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/29)*c)**(-14) assuming c is positive.\nAnswer: c**(-420\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 19*o - 16. Give s(-20).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 12*q**2 + 30*q + 26. Calculate m(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + j = -200. Let b = j - 251\/5. Let o be (3 - 4) + (-2 - -3). Is o smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 (base 15) in base 11?\nAnswer: -a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(14\/(-21))*(-114988)\/(-1938).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1111102100022 (base 3) to base 2\nAnswer: 11000010001111000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 4) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*v + 2020 = -154*v + 105*v for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -2.3 (b) 2 (c) 16 (d) 2\/37 (e) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Solve 19*d + 133*d = -3924 + 428 for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 99\/4 of a litre in millilitres?\nAnswer: 24750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 157519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2830832101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -170352.4 to the nearest one thousand.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3665830611 to the power of 1\/2, to the nearest integer?\nAnswer: 60546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 0 = -8. What is the smallest common multiple of (1*10)\/(l\/8) and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3\/145 - 486\/2465. Which is smaller: -1 or w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -593, -599, -605, -611?\nAnswer: -617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, u: 1, o: 1, k: 1, a: 4}. What is prob of sequence kut?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**20)\/((k*(k**(-2\/11)\/k)\/k)\/k) assuming k is positive.\nAnswer: k**(255\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2*b - 9, 4*j = 10*b - 14*b + 24. Let y(r) = -1 - j - 5 + r - 8 + 0*r. Calculate y(14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 308 + 1782?\nAnswer: 1a8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 25, -2.6 in ascending order.\nAnswer: -2.6, 1, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, 27, 88, 177, 294?\nAnswer: 439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 27.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -376, -754, -1132, -1510, -1888?\nAnswer: -2266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**3 - 8*m + 10. Let z be k(2). Let t be z - (-1920)\/(-195) - (-1388924)\/(-26). Round t to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1283 (base 12) to base 6\nAnswer: 13443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 16*l + 18. What is q(21)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 415b (base 14) to base 9\nAnswer: 16383","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) - (sqrt(152) - -6*(sqrt(152) + 1*sqrt(152) + sqrt(152))))*-1)\/(sqrt(80)\/(-1*sqrt(40) + sqrt(10))).\nAnswer: -18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0)*(-2*p + 1 - 1)*(1 - 1 - 4).\nAnswer: -16*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of z**4\/6 + 37*z**3\/6 + 38*z**2. What is the tens digit of p(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10011 (base 2) to base 13\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(15\/6) - 1. Suppose -g + q = 0, -4*g + g + 1 = -r. Let m be (-18)\/(-5) - r\/(-5). Calculate the greatest common divisor of 28 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87805?\nAnswer: 5, 17, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 2106564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gv when two letters picked without replacement from {v: 1, i: 1, y: 1, g: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 93805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.543 to 1 decimal place.\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1))**(-25)\/(a**(-1\/5)*a*a**(-2))*(a**(-12)\/(a*a**13))**(-38) assuming a is positive.\nAnswer: a**(5071\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -136, -274, -412?\n\"Answer: -138*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -2*j + 4*v - 8, 2*j + 2016724 = -2*v + 2016742 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -142, -103, 8, 227, 590, 1133, 1892, 2903?\nAnswer: 4202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (0 - 1)) + (6 - 9 - 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from {u: 1, g: 2, e: 14}?\nAnswer: 143\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.65282 rounded to two dps?\nAnswer: -0.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 6. Let x(y) = -4*y + 4. Let w = -7 + 4. Let v be x(w). Solve 2*q = 5*s - 0*s, h*s + v = -2*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**2 + f - 342 = 0 for f.\nAnswer: -19, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -295*o + 29. Let r be n(-7). What is the second derivative of -r*k**4 - 4*k + 2122*k**4 + 26*k wrt k?\nAnswer: 336*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o\/((o\/(o**(1\/2)\/o))\/o)))\/o)\/o)**44*o**3\/(o**(-2\/13)\/o) assuming o is positive.\nAnswer: o**(-804\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-3)\/s*s\/(s*(s*s**(-2\/7))\/s)*s)\/(s**(6\/5)\/(s\/(s*s**(-2\/9)))) assuming s is positive.\nAnswer: s**(-848\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -6. Let a(u) = 5*u**3 + u**2 + 7*u + 13. Let h(s) = -3*s**3 - s**2 - 3 + 2 + 2*s**3. Let x(v) = c*a(v) - 6*h(v). Give x(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 44368538?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) -1\/50 (c) -3\/19 (d) -0.3 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 4065\/65 + (9\/(-2))\/(78\/(-8))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**3 - 11*g**2 - 12. Determine o(7).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 797.5206ml in litres?\nAnswer: 0.7975206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/16 and 33\/40.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8 + (1\/(-7) - 7*(-697)\/(-833)). Solve 48\/13 - 116\/13*h - 10\/13*h**v = 0.\nAnswer: -12, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**4 + 423*o**3 - 11505*o**2 - 24291*o - 12360 = 0. What is o?\nAnswer: -1, 40, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - 4) + 39 + -45 - 25.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 274 = -2*p, -552 = -4*z - 16*p + 11*p. Let j = z + -105. Calculate the least common multiple of 76 and j.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4406574 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 373 = q + 3*q + 409, -3*q - r - 33 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*y + 2614778 = -322102. What are the prime factors of y?\nAnswer: 2, 4079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*j**2 - 5*j - 5*j**3 - 3*j**2 - 2*j**2 = 0. What is j?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 146262974?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a factor of 11846202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16305 by -19.\nAnswer: -16305\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -20322*f**3 + 2*f**2 + 2*f + 1. Is g(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 604*b**2 - 3 + 3 - 1219*b**2 + 609*b**2.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 68*o. Let i(s) = -2017*s. What is i(y(f))?\nAnswer: -137156*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 5. Let s(f) = -f**3 + 3*f + u + 3*f**2 + 3*f**2 + f**2. Is s(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6802 and 0.05837.\nAnswer: 397.03274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 + 36. Suppose -5*z = 3*g - p, -6 = 2*z - 4*g - 38. Is 11 a factor of z\/(-9) - 136\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2 + 4 - f + 0. Suppose -u = -g + 12, -4*g + 13*u - 48 = -150. Determine o(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -350 times -0.1?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*10\/(-4) + 0. Let l be (2 - 5\/z) + 61. Determine o, given that -16*o + 4*o**4 + 0*o**3 + 12*o**4 - 52*o**3 + l*o**2 - 4*o**4 = 0.\nAnswer: 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*c**3 + 2*c**2 + 2 - 79*c**3 - 165*c**3 + 5*c**3.\nAnswer: -353*c**3 + 2*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -163972 - -1309317\/8. Let u = o - -307. Let q = 0.1 + 0.1. What is the third biggest value in u, -4\/5, q?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36497808.63 rounded to the nearest one hundred thousand?\nAnswer: -36500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1260479977?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 4 + 41*s + 2*s**2 - 2 - 40*s. Suppose n + 7 = -5*d, 5*n = -4*d + n + 4. Determine q(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 9796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/2 - (-14)\/(-4). Let v be -13*3\/(16 + -4). Is w > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*y - 327 = -27*y. Calculate the remainder when 1196 is divided by y.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 28*x**2 + 524*x - 152 = 0.\nAnswer: -19, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 791671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12423 = 3*o + 2*c, -4*c = -4*o - 5*c + 16564. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 85148 (base 9) to base 3\nAnswer: 2212011122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*a + 0*a - 2*a)*(-a + 0 + 0)*(8864 - 14050 - 5086) to h + l*a + z*a**2 and give z.\nAnswer: 10272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + 0. Find the second derivative of 3*l**3 - 6*l**4 - 3*l**3 + 5*l + 2*l**r wrt l.\nAnswer: -48*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 630 + -318. List the prime factors of t.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 90 - 996\/11. Which is bigger: f or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9878888km to centimeters.\nAnswer: 98788.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 776.2011 weeks to seconds.\nAnswer: 469446425.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 89306?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*u**2 + 18 - 18)*(-11*u**2 - 7*u + 7*u) in the form g*u + z*u**4 + m*u**3 + q*u**2 + r and give z.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.4, -0.1, 0.7, -2\/21 in decreasing order.\nAnswer: 0.7, 0.4, 0, -2\/21, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1454 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2*1\/4)\/((-12)\/(-8)). What is the nearest to b in -3\/8, 3, -3, -6?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6\/899 + 20773\/14384. Find the common denominator of i and 25\/3.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-4) + 215\/30. Is n less than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9274 is divided by 157.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4*(4 - 10\/2). Let d be (6\/l)\/(18\/48). Suppose y = 4*o - 25, 5*o + d*y - 9 = -4. Solve -o*i + 35 = 4*a - 6, 5*i + a = 29 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*r + 92 = 0, 2*z + r = 3*r + 60. What is the remainder when z is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9981885 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2645 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 20*k**2 - 38*k - 29. Calculate u(-18).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -0.2 (c) -0.05 (d) -2\/7 (e) 0.1 (f) 7\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(2*5*(-3)\/12). Solve v = -3*g - 5, 4*g = -x*v + 2*g - 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 AM and 5:02 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23091 and 90171.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48508090 by 9701618.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n**4\/7 + 34*n**3\/7 - 12*n**2\/7 = 0. Calculate n.\nAnswer: 0, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 divided by 5.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of u**4\/12 + u**2 - u. Suppose x = -6*x - 21. Calculate r(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000536686 to 5 decimal places.\nAnswer: 0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 0.08 (b) -10\/111 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 = -17*r, 4*c + 5*r = 357 - 362 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 668 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: c23 (base 13) to base 10\nAnswer: 2057","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 9, 1, 0, -0.197.\nAnswer: -0.197, 0, 0.5, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 559*x**3 - 640 wrt x?\nAnswer: 1677*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of -6*n**2 + 72*n - 64. What is the tens digit of k(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8, 16, 40, 86, 160, 268, 416, 610?\n\"Answer: i**3 + 2*i**2 - 5*i + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 - 10*z - 4. Let f be b(-9). Suppose 0*o = -f*o. Suppose o = 3*l - 0 - 3. Solve 21 - l = 4*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*z**2 - 28*z**2 + 50*z**2 + 5*z**3 + 28*z**3.\nAnswer: 33*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 98\/35 - (-1)\/5. Suppose z*s = 3*v - 9, 5*v + s + 4 = 1. Solve v = -0*y + 5*y + 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -41*x + 65. Let y be c(1). Suppose -13*d - y = -11*d. Which is smaller: d or -6?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/3 (b) 3 (c) -65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 88655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60351?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/40 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/162 and 7\/10?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1249.37 - -0.1\nAnswer: -1249.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 418, -4 in decreasing order.\nAnswer: 418, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 2*r + 2. Let b = 672 - 611. Suppose -79*k + 90 = -b*k. Determine n(k).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -l - 1. Suppose -706 = -4*v + l*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**2\/2 - 127297*x\/2 + 63648 = 0. Calculate x.\nAnswer: 1, 127296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 4*l - 261, -x = x + 4*l - 102. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5386 - 5381. What is the closest to 8 in -13, h, 2\/3, 1\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n**3 + 40*n**2 - 23*n - 6. Let o be r(19). Let q = 279 - o. Solve 23 = -f + 4*x, -2*x + q*x = 3*f - 1 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 60260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-6\/7)\/((n*n**10)\/n))\/(n**(-2\/5)\/n)**(-29) assuming n is positive.\nAnswer: n**(-1801\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2102 - -2220?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 93?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 6:58 PM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l**3 + 4*l**2 + 4*l - 4. Let r = -663 + 667. Let s(q) = -4*q**3 - 5*q**2 - 5*q + 5. Calculate r*s(z) + 5*o(z).\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of 17*p**4\/4 - 173*p**3\/6 - 35*p**2. What is the derivative of b(g) wrt g?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uwukuuukx. Give prob of sequence wx.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*s = -9*s - 56 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2 + 3*v + 13*v**2 - 2*v**2 - 6 - 6*v**2.\nAnswer: 3*(v - 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiitggigiixictgxtc. What is prob of picking 2 c and 1 t?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 51216 rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*583.\nAnswer: -2915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 11:27 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - 5*j + 3. Let g be u(5). Let x be 1 + 2 + 20 - g. Let d(z) = -z**2 - 4*z - 3. Let w be d(-3). Solve w = -2*p + 6*p - x for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-104414)\/257964*(-2)\/(-51).\nAnswer: -1\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-63)\/(-42))\/(3\/2). Let i be (3\/9)\/((-1)\/(-132)). Sort m, -3, i, 2 in increasing order.\nAnswer: -3, m, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/64 of a gram in micrograms?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1079.0451 - 1079. Let o = 0.044821 - i. Round o to five decimal places.\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1 + sqrt(17)*3 + (sqrt(187)*-2)\/sqrt(11))*3.\nAnswer: -18 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5612 a factor of 1023363390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**2\/3 + 11614*x\/3 - 42504 = 0. What is x?\nAnswer: 11, 5796","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/(21\/6) - 199. Let i = -371 - l. Let s = 1532\/9 + i. Sort 5, s, -0.1.\nAnswer: -0.1, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a - 7. Suppose 9 = -5*m + 64. Let j be r(m). Calculate the greatest common divisor of 2 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-4 - -11) - (-2 + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4e3 (base 15) in base 14?\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 468 = 3*m, 20*d - 5*m - 436 = 17*d. What is the remainder when d is divided by 39?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -294737 = -5714*u - 1026*u + 469*u for u.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02432839 to 3 dps.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 800215?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 371.56845768983 + -0.2.\nAnswer: 371.36845768983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of -t**4\/12 - t**3\/2 + t**2\/2 - 73*t. Give j(5).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-4) - 52\/(-8). List the prime factors of 100\/u*18\/15.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3 and 0.02005046 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -6 - 22. Find the third derivative of -28*v**2 + v + v - 2*v + j*v**4 wrt v.\nAnswer: 336*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -2*u**3\/5 - 48*u**2\/5 - 378*u\/5 - 196 = 0.\nAnswer: -10, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 10*r**2. Let w be j(1). Let g be 56\/w + (-12)\/(-30). Find the second derivative of -4*x - 6 + g - x**2 wrt x.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -10 (c) 0.6 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010 (base 2) in base 13?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/418 and -87\/155914?\nAnswer: 155914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*i**2*p**2 + 422*i**2*p + i**2 - 3*i*p**2 - 285*i*p - 15*p**2 + 2*p wrt i?\nAnswer: -16*p**2 + 844*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*p - 2*p + 3*p + (-2*p + p - 2*p)*(2 + 3 - 4) + 5*p - 4*p - 2*p + 135*p - 70*p - 5 - 64*p as k*p + b and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1683.787 decades to months.\nAnswer: 202054.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116 + 340 = -17*k - 2*k for k.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.213 times 1728462\nAnswer: -368162.406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -7*y - 2. Let z(o) = 3*o + 1. Calculate 4*i(n) + 9*z(n).\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -129340353*n**3 + 60086961.\nAnswer: -388021059*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -29 times -12395219\nAnswer: 359461351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 7*z = 8*z - 64, 5*z = 5*q - 70. What is the second derivative of -51*o - 37 - 28*o**2 + 22 + q wrt o?\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*q = -148, 5*q = 9 + 1. Suppose 27*l + i = 33*l. Suppose 181 + 143 = 3*w. What is the greatest common factor of w and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.346 + -3.116. Let i = r + -0.23. Let p = 9 - 14. What is the closest to -1\/3 in -3\/7, p, i?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 120261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63201, -63141, -63081, -63021?\nAnswer: -62961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 112002100122 (base 3) to base 8\nAnswer: 1035440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 13. Suppose v - 2*v + 3*x - h = 0, 5*x = -v + 15. Find the third derivative of 4*j**2 + 21 - 21 + 7*j**v wrt j.\nAnswer: 420*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 370510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 0.016873 weeks?\nAnswer: 0.118111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 6914?\nAnswer: -3457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -43343014140 + 3?\nAnswer: -43343014132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1555294 and 45838?\nAnswer: 1066","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185 = -30*t + 455. Let r(o) = -o**3 + 4*o**2 + 2*o - 3. Let c be r(3). Solve c*s - t*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 2, 2\/3, -21?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 5*v**2 + 4*v + 3. Suppose 0 = -2*h - 0*h. Let o(w) = 4*w + h*w**2 + 1 - 3*w + w**2. Suppose -u - 2*u = 3. Give u*q(b) + 3*o(b).\nAnswer: -2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -6. Suppose 0 = -h*i + 7 - 3. Solve x - v = v - 7, i*v + 8 = -2*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8684*h - 1300?\nAnswer: -8684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a**4 + 11124*a**3 - 3438336*a**2 - 306075548*a + 153895968 = 0. Calculate a.\nAnswer: -72, 1\/2, 731","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -4*o**5 + 119312*o**4 + 1312788*o**3 + 3819280*o**2 + 3341968*o = 0.\nAnswer: -7, -2, 0, 29839","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 1\/(-3) + (-48)\/(-9). Let p = 34 - 38. Put 5, -0.1, j, p in ascending order.\nAnswer: p, -0.1, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 19*u - 4. Determine v(16).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 1038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1887 (base 16) to base 5\nAnswer: -200104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t + 13. Let r be h(12). Let g(s) be the first derivative of -1\/2*s**2 - 3*s - 1\/3*s**3 + r. What is g(-3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 5*i + 2. Let q be n(-5). Suppose q = -0*s + 2*s. Is 1 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21 + 122?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g + 19. Let i be a(8). Calculate the greatest common divisor of i and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 317925?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 65*q**2. Let h(d) = 2*d**2 + 2*d - 1375. Give h(x(b)).\nAnswer: 8450*b**4 + 130*b**2 - 1375","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4517?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27686 is divided by 9224.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1627 is divided by 381?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 13.4, 2, 26, 0.07, 2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*w**2*y**3 + w**2*y**2 + 163*w**2*y - 2*w*y**2 - 955*y**3 wrt y?\nAnswer: -72*w**2 - 5730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u + 28. Calculate the remainder when v(10) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - 0. Let f(x) = 33*x**2 - 1585*x + 44. Let k be f(48). Which is the closest to i? (a) -1\/5 (b) -0.02 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -584*d + 158*d + 137*d + 139*d + 152*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 10522524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(3328) + sqrt(3328))\/(sqrt(20)\/sqrt(80)))**2.\nAnswer: 13312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**3 - 4*g + 22. Suppose 0 = b - 3*y + 6, 1207*y = -4*b + 1206*y - 11. Let p(w) = -2*w**3 + 3*w - 23. What is b*h(j) - 4*p(j)?\nAnswer: 2*j**3 + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 10 = d, 3*x + d = 3*d + 6. Suppose 2*a = x + 2. Let c(k) = -2*k - 3. Calculate the remainder when c(-5) is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4079, -4072, -4061, -4046, -4027, -4004?\nAnswer: -3977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, d: 1, j: 3, t: 7, u: 2, o: 3}. Give prob of picking 1 t, 2 o, and 1 j.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/148, 1, 231.29, -0.2?\nAnswer: 1\/148","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + 3*o - 8. Give s(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (131\/(-2))\/((-9)\/(-1188)*11). Let s = j - -788. Solve t = s*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 365720407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -100\/7 (c) 2838 (d) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-1 + sqrt(63) - sqrt(63)) + sqrt(63) - (sqrt(35)\/sqrt(20) + sqrt(7))).\nAnswer: -15*sqrt(7)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 5 = -5*x - 20, -2*x = -5*w + 10 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 679 + -486. Which is smaller: -1\/4 or p?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 389 is divided by 27?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**3\/8 - 15751*j**2\/8 - 317585*j + 319554 = 0. Calculate j.\nAnswer: -15588, -164, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 11*h. Let o(i) be the first derivative of 0*i**2 - 119 - 19\/3*i**3 + 0*i. What is k(o(m))?\nAnswer: -209*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -2) + 4 + (-2 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 10*i - 5*i. Let s be (-57)\/(-36) - i\/(-8). Solve -s - 10\/3*m - 4\/3*m**2 = 0.\nAnswer: -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8312.80566192 plus -3?\nAnswer: 8309.80566192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 3*h - 5*h)*(-6 - 9 + 10).\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -6156540 divided by -9\nAnswer: 684060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85.4977 micrograms to kilograms.\nAnswer: 0.0000000854977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1325.1672975 rounded to one decimal place?\nAnswer: -1325.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 0.91. Let w = y - -0.71. Which is the biggest value? (a) -39 (b) 0.5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -22 + 14 + 5 + 4. Let q(p) = 30*p + 4. Give 4*a(l) - q(l).\nAnswer: -30*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 + 10 + -66 - -55) + -21 + 2.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9 times -2070\nAnswer: 18630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 20*20\/1200*(-1 - 62\/4)?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 77*a + 5580. Determine r(-72).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -t + 98. Suppose 3*c + 5*i = t, c + c + 5*i - 81 = 0. Calculate the remainder when 63 is divided by c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (3120 + -6)\/9 - (4 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -0*u + 3*m - 3, 3*m = 4*u + 63. What is the least common multiple of 7 and 1\/(u\/105)*-4?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45740311?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 33*b + 39*b - 44*b - 7 + 11*b. Let d be h(3). Suppose 8*z = 7*z + d. Does 51 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4446741 a multiple of 276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 29306 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19130 is divided by 1125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of -157*z**3\/3 - 5*z**2 + z - 12. What is the tens digit of m(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 368286110.\nAnswer: 2, 5, 2251, 16361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 359498957 and 1.\nAnswer: 359498957","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**2 + 1242*t + 1243 = 0.\nAnswer: -1, 1243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 5*z - 2*z - 16 = 0, -20 = -5*l + 3*z. Let n = 5 - l. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - 5\/(35\/(-42)). Suppose y = -w - b - b, 4*b = -w - 16. Let q(o) = -o**2 - o + 26. Give q(w).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26427*n**3 - 32193*n wrt n?\nAnswer: 158562*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 PM and 2:02 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 13 = -4*d, -4*d + 24 = 3*i - d. Suppose -6*s = -i*s - 27. What is the highest common divisor of 18 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 5*r = -15, x + 2*r - 1 = -0. Let h(s) = 7 + s - 4*s - 2 - s**2. Let j be h(-4). Let k(p) = -3*p - 6. Let v(f) = f + 1. Give j*k(g) + x*v(g).\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -g + 10. Calculate the remainder when 34 is divided by 11 + (2\/g - 3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/4)\/(4\/56) - (38 - (-19 + -29))?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31360 by 392.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17263839*i**2*n*t + 11914531*i**2*t - n*t wrt n?\nAnswer: -17263839*i**2*t - t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6400183 to the nearest integer?\nAnswer: 2530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + 4*t + 10. Let o be q(5). Let w(p) = -14 + o*p - 31 - 93*p. Is w(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkl. What is prob of sequence kk?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/18 and 11066\/(-10998) - 18*2\/(-36).\nAnswer: 10998","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492.7024 years in centuries?\nAnswer: 4.927024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 261 divide 130159134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9897384*h**2 + 2*h**3 - 9897321*h**2 - h**3.\nAnswer: h**3 + 63*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -k**5\/20 - 7*k**4\/12 + k**3 - 4*k**2 - 3*k. Let r be i(-8). Solve 3*b - r = -4*z, -3*z + 31 = -3*b - b for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 7:08 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -32*o**2 + 8177*o - 4418. Give p(255).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -174*208\/(-9048) - (6\/57)\/(12\/465)?\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-248)\/372)\/(((-5)\/12)\/5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*w + 10*w + 16 + 2*w**2 - 13*w to the form m*w**2 + o*w + d and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -315*z - 321*z + 1826*z = -2595*z + 132475 for z.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2555 + -2529. Calculate the remainder when 116 is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -6, 4, 3.\nAnswer: -6, -5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**3 + 267996*b**2 - 2143676*b - 2411676.\nAnswer: -4*(b - 66991)*(b - 9)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 12:04 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i\/(i**(-3\/5)*i))\/i*i*i**7*(i**1)**(2\/75))\/((i**(-2\/7))**(-2\/33)\/((i*i**1)\/i)**(11\/2)) assuming i is positive.\nAnswer: i**(54321\/3850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5842 by 23.\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/6)\/((-11)\/(-44)). Solve 2*u + 10 = g for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1690 + -a?\nAnswer: 1683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-6\/11)*y*y)\/(y**(3\/13)\/y))\/(y*y\/y**11*y\/y**(-1\/6)) assuming y is positive.\nAnswer: y**(9487\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.57 - -7.17. Let g = 1.4 + q. Which is the third smallest value? (a) 5 (b) 0 (c) g (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of 0*a**6 + 0 + 17\/42*a**7 - 10\/3*a**3 + 0*a**4 + 0*a**2 - 13*a + 0*a**5. Find the second derivative of j(d) wrt d.\nAnswer: 340*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2202, -2194, -2180, -2160?\n\"Answer: 3*p**2 - p - 2204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 50 - 47. Let b be l - 2 - 3\/(0 + -3). Suppose -b*i - 409 = -1895. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 208\/32 + (-6)\/4. Suppose 2*q = -5*n + 2, -5*n = -q + j*q - 4. Suppose n*l = l - 68. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (13\/(364\/48))\/(27\/35028) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t - 8. Let o be b(-11). Suppose -o*j - 3 = -3*n, -2*j + 8 = -4*j + 4*n. Suppose 0 = h - j*h + 2. Solve -7 = h*g - 3 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 136*v**2 + 718*v + 20. Give b(-141).\nAnswer: -1813","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -137*a**6*t + 96572*a**6 + 10519040*a**2*t wrt a?\nAnswer: -16440*a**3*t + 11588640*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and 19\/6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 937959 (base 10) to base 13.\nAnswer: 26ac09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 250*k**5 - 6*k**3 - 6534*k**2 wrt k.\nAnswer: 15000*k**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 + 49. Solve 4*l - 16 = -5*f, 2*l = -f + 5*f - u for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**5 + 40*o**4 - 290*o**2 + 395*o - 150.\nAnswer: 5*(o - 1)**3*(o + 5)*(o + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 14 + 5 + 7 - p - 25 + p**3. Let v be g(1). What is the highest common factor of v and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24209729, 24209728, 24209727, 24209726, 24209725, 24209724?\nAnswer: 24209723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.5 in -22, -4, 12, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245 = 5*k - h, 151*k + 4*h + 10339 = -60*k for k.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 147415593?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13717 and 20834.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -240, -965, -2172, -3861?\nAnswer: -6032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w - 4*q + 233 - 204, -3*w - 4*q = -11 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 49*a - 55*a. What is the remainder when 31 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 5660?\nAnswer: 5660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 122, 196, 270, 344?\nAnswer: 418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**0)**(4\/7))**(-1) assuming i is positive.\nAnswer: i**(-4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 7*j**2 - 165*j + 93. Let n be w(23). Let c(o) = 3*o**2 + 9. Let b(g) = -g**2 + 1. Give n*c(v) + 4*b(v).\nAnswer: -v**2 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -45274 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 162274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 833838 - 35?\nAnswer: 833803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 6 = -2*w. What is the units digit of (0 + -3)\/(-3)*(-39)\/w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 + 17*q + 44. What is the units digit of n(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 times -135643?\nAnswer: 4069.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/10)\/((-342)\/(-2850)) + (-1 - 2).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 1562768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 + -12336253313.27.\nAnswer: -12336253313.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9*2\/((-24)\/(-4)). Let m(h) = 2*h**2 - 4*h + 9. Let j be m(8). Calculate the lowest common multiple of 16 and j\/9 + 1\/c.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 392 and 833.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 27415\nAnswer: -1\/5483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 119 (base 14) to base 6\nAnswer: 1003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of 1\/220*r**6 + 0 + 0*r**5 + 1\/1155*r**7 - 2*r**2 - 15*r - 1\/33*r**4 + 0*r**3. Factor l(o).\nAnswer: 2*o*(o - 1)*(o + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6695?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6, 0, 2\/7, -86, 5 in decreasing order.\nAnswer: 5, 2\/7, 0, -0.6, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 270 = 5*j. Let r = -464 + 434. Let d be (3 + -1)*(-405)\/r. Calculate the greatest common factor of j and d.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/14*9\/(-15). Let s = 507\/5 + -101. Which is the nearest to -0.1? (a) t (b) -0.2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 + 10. Let k = -16 - y. Let m = k + 6.4. Which is the closest to -1? (a) 0.2 (b) 2\/9 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2617883929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 136 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -25, -9, 2, -6 in increasing order.\nAnswer: -25, -9, -6, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32944?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 25 = -8*q. Suppose 4*y = 3*y + 57. What is the remainder when y is divided by -3*q*2\/(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -13. Let g(l) = 1 + l + 0*l + n. Let h(y) = -9. Let d(v) = 1. Let r(w) = 6*d(w) + h(w). Give 3*g(o) + 4*r(o).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*y - 2736 = 2244 for y.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21996 and 582?\nAnswer: 2133612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.12*-0.03651\nAnswer: 0.0043812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and -57.633?\nAnswer: 60.633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4 + (4*((sqrt(539) - (sqrt(539) + 1 + sqrt(539))) + -1)*3*-3)**2).\nAnswer: 72576*sqrt(11) + 1407448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 4239305696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*t - 2*r, 1 - 6 = -5*r. Let l = 17 - t. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2891*i**2 + 13460 - 13460. Let p(h) = -h**2. Calculate b(p(y)).\nAnswer: 2891*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -721 (base 14) in base 10?\nAnswer: -1401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72)\/(-405))\/(6\/4*(-44)\/(-165))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 5. Let w(a) be the third derivative of 0*a - 4*a**2 - 1\/6*a**3 - 1\/6*a**4 + 0. What is w(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -2. Let v be 0 + p - (-21)\/(-7). Factor 0*g**4 - 2*g + 2*g**3 + 0*g + 4 + 2*g**4 - v*g**2.\nAnswer: 2*(g - 1)**2*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35695 by -5.\nAnswer: 7139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 5*h**2 + 3*h - 3. Let z be n(-4). Let k be (-1 - 2) + 18\/z. Find the third derivative of l**2 - 3*l**6 + l**2 + 15*l**4 - k*l**4 wrt l.\nAnswer: -360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 0*d + 10 - d + 2*d. Let k be f(-8). Find the second derivative of k*t**3 - t**3 + t + 0*t**3 wrt t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.06 - -0.96. Let q = -0.7 + w. Which is the closest to q? (a) -0.2 (b) -6\/11 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1025.545 centuries?\nAnswer: 102.5545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(425)*-5 + 2.\nAnswer: -25*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 44277 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20 * 0.09.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(((-1)\/(-6))\/((-3)\/(-81))*(-185)\/8325).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000248851553 to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -95 in -0.1, 1, 1.19, 2\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of 1\/24*l**4 + 1\/3*l**3 + 2*l**2 + 0*l + 0. Suppose -4*k + 10 = -6. What is v(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.841943ms in microseconds?\nAnswer: 7841.943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xffxnmmffx. What is prob of picking 2 m, 1 f, and 1 n?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/40 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + -4*(-25)\/20 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, i: 5, j: 6, q: 1}. What is prob of sequence qjj?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4066.97 + -4067. What is n rounded to 3 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 268905589 to the power of 1\/5, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-11 + (-139)\/(-13))\/(1 + -2). Let t = 0.34 - -0.06. Which is the third biggest value? (a) -5 (b) -0.5 (c) y (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 229470\/7 - 32720. Let r = -61 + t. Is 2\/7 at least as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mngmqhqmmnlqhmhmqhgl. Give prob of sequence mnn.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/11 (b) -48 (c) 2 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 81293179 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, z: 1}. Give prob of picking 2 g.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and 27513?\nAnswer: 27512.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6462825 and 75?\nAnswer: 6462825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 8 - 44. Which is greater: 7 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 6*x = -2954. Let o = -235 + x. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v**3 + 87239361*v**2 - 634225465354344*v - 634225552593708 = 0. Calculate v.\nAnswer: -1, 14539894","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 13 = 5. Suppose -14 = -5*a + 6. Solve 16 = -a*x + 2*i, 3*x - 2*i + 3 = -s for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/12 - 10\/12?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 466*a = 237*a + 217*a + 672. What is the remainder when a is divided by 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 5*k - 4 = 0, 4*t - 545*k - 2 = -543*k for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 219456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.00079*198.\nAnswer: -0.15642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15\/(-20)*32\/56. Which is the nearest to 1\/8? (a) 31 (b) 3 (c) q (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-1))\/w)\/(w\/(w*w**(-15)\/w))*(w**(-2\/23))**(-9) assuming w is positive.\nAnswer: w**(-327\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 2)*(150 + 6*h**2 - 150).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1752*b*c**2*n - 73*b*c*n + 33*b*c - 333*b*n - 223409*c**2*n - 50*c*n wrt c.\nAnswer: -3504*b*n - 446818*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*o - 22*o - 14*o)*(4 - 4 - 3).\nAnswer: 129*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7481 smaller than 7481?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 5) to base 15\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -83 - (-40 - -1) - 8?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60757369, -60757374, -60757379, -60757384, -60757389, -60757394?\nAnswer: -60757399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -286ab (base 16) to base 5\nAnswer: -20244142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 2*m**3\/11 - 276*m**2\/11 + 1594*m\/11 - 120 = 0.\nAnswer: 1, 5, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of v**3 + 5\/2*v**2 - 5\/4*v**4 - 249 - 4*v + 1\/5*v**5. Factor b(y).\nAnswer: (y - 4)*(y - 1)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3217 is divided by 229?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -8*l + 879. Let f = l - 131. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 266*w - 4426. Give m(15).\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -319 + 319.2. Which is the smallest value? (a) -3 (b) 6 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1323350 and 43368070?\nAnswer: 1517882450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s - 44. Let m(y) = -y - 29. Give -5*b(k) + 8*m(k).\nAnswer: 2*k - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33061*n**2*q**2 + 2*n**2*q - n*q**2 + 42045*q**2 wrt n.\nAnswer: 66122*q**2 + 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 514289?\nAnswer: 514289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(23\/(-2))\/((-7)\/14). Let f = a - 20. Calculate the remainder when 24 is divided by (1 + 2)\/f*2*7.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11320011221 + 20?\nAnswer: 11320011301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 23*v - 122. Let g be l(14). Put 1, -4, g, 10 in decreasing order.\nAnswer: 10, g, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**7)**21\/(m**23*m**2) assuming m is positive.\nAnswer: m**164","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - -2. Suppose a*j = 10*j + 1. What is the closest to j in -0.3, 0.04, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 56*f - 179. What is the remainder when 1437 is divided by u(4)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 6*i. Let y be u(5). Suppose -w = -2*o - 28, -140 = -y*w - 2*o + 6*o. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 599761408?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1270 divided by 254?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -311311201101 (base 4) to base 11.\nAnswer: -7a6a213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -599 - 1208. Does 90 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105683 + 106030 - 211713 - 2*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of 338*p**4 - 4390*p - 1844. Find the first derivative of z(d) wrt d.\nAnswer: 4056*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, z: 1, l: 4, f: 2, v: 1}. Give prob of sequence rz.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f - d - 7, -4*d = 3*f - d + 6 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 4 + y**2 + 47*y**2 - 11*y**2 + 48*y**2 in the form g*y**2 + m + t*y and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (56 + (-39574)\/705)*-150.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/2 - 68*m**2 - 2707*m\/2 - 5005.\nAnswer: (m - 154)*(m + 5)*(m + 13)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(208) + 0.\nAnswer: -5 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*b - 1508 = 156 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -479\/42 + 65\/6. Is -1 less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 110833, 110424, 110099, 109900, 109869?\nAnswer: 110048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -4*l - 80. Determine f(-21).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9 - ((-50)\/10 - 51). Suppose 5*t + 48*h - o = 46*h, 0 = 5*h - 25. Is t at least as big as 113\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/19)\/(12000\/(-85500))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q - 2*q = -40. Which is smaller: q or -50\/11?\nAnswer: -50\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, a: 11, z: 1}. What is prob of sequence aj?\nAnswer: 11\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1356957.252 nanoseconds?\nAnswer: 0.00000000224364625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 561423?\nAnswer: 3, 187141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u. Let m(v) = -2*v + 3. Let p(i) = -i + 1. Let a(j) = j + 14. Let g be a(-13). Let d(o) = g*m(o) - 3*p(o). What is d(s(r))?\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4007 is divided by 1000?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 11*y - 15. Let z be r(-10). Let x(f) = 6*f + 2. Let k(q) = q. Give z*k(j) + x(j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/15)*c*c**9*(c**(1\/7)*c)\/c*c*c\/((c\/(c\/c**(-2\/25)))\/c) assuming c is positive.\nAnswer: c**(7012\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of 10*k + 5*k**2 + 0 - 1\/2*k**3 - 1\/8*k**4. What is i(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 108095\/144116 + -2\/36029. What is the fifth biggest value in -9, -1\/5, l, -3, 1?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45\/104 + -48\/13. Let k = 468\/2945 + 90961\/23560. Let w = z + k. Which is the nearest to 6\/5? (a) w (b) 2\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l**2 - 5*l**3 + 162*l**3 + 4*l**2.\nAnswer: 157*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4818098420 to the nearest integer?\nAnswer: 69413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 0 + 5 - 8*p + 24*p - 2. Let d(q) = -q - 3. Let z be d(-5). What is the units digit of s(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258426513989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 114 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 11:50 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 444124672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2*o - 5810 = 0, -3*i + 8740 = 4*o - 6*o. What is the thousands digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2 - 43396*a - 115945176.\nAnswer: -4*(a + 4762)*(a + 6087)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 363 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from 0.7313.\nAnswer: -2.2687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 419 a factor of 100560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*j + 0*j**2 + j**2 + 0*j**2.\nAnswer: j**2 + 19*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5 - 0.5. Let r = 0 + 1. Let q = 2488.2 + -2488. Which is the third biggest value? (a) t (b) q (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28*a**5 - a**4 - 148*a wrt a.\nAnswer: 560*a**3 - 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 3. What are the prime factors of 32\/6*o\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**6\/((f*f**(-20))\/f))\/(f\/f**(7\/4)*f**(2\/19)*f))**(-47) assuming f is positive.\nAnswer: f**(-91603\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**2\/9 + 43378*q\/9 + 43376\/9 = 0. Calculate q.\nAnswer: -21688, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z - 3. Let x be k(-8). Suppose 3 = x*i - 2. Let r = 8 - i. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1676 - -1686. Let g(f) be the first derivative of y - 3\/2*f**2 - 2*f. What is the derivative of g(p) wrt p?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 + 1 + -7)\/((-1)\/82). Let p = d + -70. Let k(f) = 3*f - 36. Let c be k(p). Let q(b) = b + 8. Give q(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 23*b - 18*b. Let w be (-1848)\/(-32) - (-2 + 21\/b). What is the second derivative of -w*x**4 + 35*x**4 + 5*x - x wrt x?\nAnswer: -276*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7061 + 6934. Suppose 6*x + 32 = 14*x. Sort u, x, -2.\nAnswer: u, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2928.171l?\nAnswer: 2928171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 395591023 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 11. Suppose 0 = -136*q + 135*q - 5. Let g(d) be the first derivative of -3*d**2 - 5*d - 1. Let o(a) = 7*a + 6. Calculate q*g(l) + r*o(l).\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 9*j**2 - 8*j + 3. Let i = -31 - -62. Let t = -39 + i. Let f be p(t). Solve 9 = f*q, -5*q = -z - 13 - 7 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33957 = 5266*r - 4237*r for r.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1169 - 1172. What is the nearest to 2 in 8, d, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5f + -f?\nAnswer: -6e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 350 + 287 = 7*t. What is the smallest common multiple of t and 143?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100120 (base 3) to base 16\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 249 and 332?\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (418 - 418 - 113*m)*(559*m - 559*m + 5*m**2 - 2*m**3).\nAnswer: 226*m**4 - 565*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -0.04316?\nAnswer: 0.017264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64, 14, 417 in decreasing order.\nAnswer: 417, 14, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 AM and 9:44 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1301 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -551*g**2 - g. Let r(y) = 5*y. What is v(r(t))?\nAnswer: -13775*t**2 - 5*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3921 + 6850. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -2*k + 28, 2*y - 6*k - 2 = -k. Let v(l) be the second derivative of l**4\/12 - 7*l**3\/6 + 3*l**2 - 12*l. What is v(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26448 by 116.\nAnswer: -228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 101+135\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 + 66. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of -2*p**7\/21 + 4*p**6\/15 + 12*p**5\/5 - 38*p**4\/3 + 74*p**3\/3 - 24*p**2 - 59*p. Factor j(h).\nAnswer: -4*(h - 3)*(h - 1)**3*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 34\/(-3)*(-6 + 3). Suppose 3*q + 4*m = a, 3*q - 33 = -m - 2*m. What is the tens digit of 2\/5 + 96\/q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 9. Let n = 15.6 + -38.7. Let p = -23 - n. What is the closest to -1\/3 in p, 4, x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + (-117 - -64) - -40.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(833) - (-1 + sqrt(833))*-1) + sqrt(833) - -5*sqrt(833)*1 - (-3*sqrt(2448) - (-5 + sqrt(85)\/sqrt(5))))*2)**2.\nAnswer: -4464*sqrt(17) + 588276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46 - -53. Is 0 - (-9)\/3 - (-3626)\/p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 923 a factor of 3420172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 AM and 11:58 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - h**2 + h. Let u(k) = -k**3 + k**2 + 8*k. Let l be u(3). Let t(o) = 8*o**3 - l*o**3 + 5*o**3 - 3*o + o**2 - 2*o**3 + 4*o. Give -p(f) - t(f).\nAnswer: -4*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b. Let p = 5 + -4. Let q be v(p). Solve -2*k - q*k + 5 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -222755842 - 0.44.\nAnswer: -222755842.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -217*a - 46*a = -48*a + 6223 - 19553 for a.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q - 727 + 727)*((0 + 1 - 3)*(3*q - 4*q + 3*q) + 1 - 1 + q + 10 - 10 + 11*q).\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 0.3176, 1.2, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d*d*(d*d**5*d)\/d*((d*d**5)\/d)\/d*(d**(-2))**(2\/47) assuming d is positive.\nAnswer: d**(607\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 655985, 655992, 655999, 656006?\nAnswer: 656013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, i: 9}. What is prob of sequence cii?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 639 and 6247574?\nAnswer: 56228166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/2 and -13\/370.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 6*q - 200. Let v = -25 - q. What is the remainder when (6\/8)\/(40\/(229600\/105)) is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -5*y + 1275, -2*y + 514 = 66*r - 64*r. Calculate the remainder when y is divided by 86.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1181 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 48802819 to the power of 1\/5, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 1\/5, -2\/7, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 5*w + 14. Let j(t) = -7*t - 10. Let r(s) be the second derivative of 4*s**3\/3 + 11*s**2\/2 - 2*s. Let n(m) = -6*j(m) - 5*r(m). Determine n(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = 5*d - 17, 0 = -6*o + 6*d - 10*d + 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23916 + 6853. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.49 and -12.\nAnswer: 5.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-25*b - 19*b + 15*b + (-b + 2*b + 0*b)*(-1 - 2 + 4))*(-181*b + 106*b + 103*b)*(1 + 1 - 5) to s*b**2 + m*b + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(132) + sqrt(132) + (sqrt(132) + -2*sqrt(132))*1)*5)\/(5*sqrt(108)*-3))**2*-4.\nAnswer: -176\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3*q + 1. Let t be w(5). Let s = -11 + t. Let h = s - -35. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -252 + 272. Suppose -x + o - 4*o + 4 = 0, -4*x = 2*o - 16. What is the greatest common divisor of t and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 312947460.\nAnswer: 2, 3, 5, 7, 248371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -519, -1830, -3879, -6666, -10191, -14454?\n\"Answer: -369*a**2 - 204*a + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 5*u - 1067, 0*k - 4*k - 649 = -3*u. Suppose u = 2*b - b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 423 + 58301?\nAnswer: 58724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 2464\nAnswer: -2460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 10*h - 16 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 5*c. Suppose 2*d + c*d - 6 = 0. Let j(v) be the second derivative of v**5\/20 - v**4\/4 + v**3\/6 - 2*v**2 - v. Calculate j(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 9. Find the third derivative of z**i - 9*z**2 + 0 + 10*z**2 + 0 wrt z.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 523374627?\nAnswer: 3, 19, 101, 90911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 38*g + 1. Let o be j(1). Let l = -2203 - -2203. Suppose l = o*q - 35*q - 125200. Round q to the nearest one thousand.\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -4*h**3 + 13924*h**2 + 195524*h + 685020 = 0.\nAnswer: -7, 3495","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -162869 + 6?\nAnswer: -162863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 2*d + 32. Let u(i) = i - 4. Let z be u(6). Suppose -q - 4*w + 16 = z*q, -w = 5*q - 4. Calculate the remainder when m(q) is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/g**(-1\/7))\/g)\/g)\/g*g)**20\/(g**10\/g**10) assuming g is positive.\nAnswer: g**(-120\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003916657 rounded to 7 dps?\nAnswer: -0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 1)*(-3263*u**4 + 1055*u**4 + 1715*u**4) + 3 - u**4 + 0*u**4 - 1 to the form l*u**2 + h*u**4 + o*u**3 + m + x*u and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -9977623\nAnswer: -6\/9977623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12408379\/20993840 + 6\/262423. Let t = o - -1\/112. Let d = -3 + 2. Put d, 0, t, -0.3 in decreasing order.\nAnswer: t, 0, -0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 57*n - 1 + 4*n.\nAnswer: -53*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*r + 7*r - 22*r - 14*r in the form t*r + x and give t.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -10*y**2. Let n(s) be the third derivative of -s**6\/360 - 19*s**4\/24 + 11*s**2. Let w(f) be the second derivative of n(f). Give h(w(l)).\nAnswer: -40*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 - 2*h. Let l(b) = -b**2 - 15*b + 5. Let a(f) = f**2 + 7*f - 2. Let c(r) = 5*a(r) + 2*l(r). Give -2*c(s) - 7*z(s).\nAnswer: s**2 + 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {g: 1, p: 7, y: 8, q: 1, l: 2}?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14443 - 707662\/49. Is 0 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2663405 is divided by 237?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/4 of a kilometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -5*b - 12. Let n be v(-3). Suppose -6*c + x + 26 = -c, -3*c + 18 = -n*x. What is the tens digit of 2 - c\/((-15)\/231)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/200256 and -65\/42?\nAnswer: 200256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -75914, -75912, -75910, -75908, -75906, -75904?\n\"Answer: 2*w - 75916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, i: 1, c: 4}. What is prob of sequence cg?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*n - 106 - 195. Suppose -h + 2*t = -6*h + n, h - 6 = -3*t. What is the third derivative of h*k**2 + 9*k**2 + 5*k**4 - 26*k**2 + 3*k**2 wrt k?\nAnswer: 120*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10211875116654 - 0.23\nAnswer: -10211875116654.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.60335 litres in millilitres?\nAnswer: 54603.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 200.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 - o + o)*(0*o**3 - 4*o**3 + 3*o**3) + 16141*o**5 + 3922*o**5 + 398*o**5.\nAnswer: 20463*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.3 - 2.3. Sort 0.1, 5\/3, v in ascending order.\nAnswer: 0.1, 5\/3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(97\/3)*-1. Let r = -76780 - -76781. Is p at least as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 4*h - 3. Let i be 2\/(-1)*5\/2. Let a be f(i). Find the third derivative of -2 + 2*u**a + 2 + u**6 - 2*u**6 wrt u.\nAnswer: -120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 5, -3, 17 in decreasing order.\nAnswer: 17, 5, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v = 9*v + 8. Suppose 0 = 2*s - v, -5 = -w + 3*s - 6*s. Are w and -2\/57 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**2 - 5*a + 2. Let v be c(2). Suppose 2*l + 2*k + 3*k - 28 = v, l + k - 14 = 0. Calculate the least common multiple of l - ((-4)\/4 + 1) and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150083597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 19 divided by -35\nAnswer: -19\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.12233 to 2 dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.479 - -103.579. Round t to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -112*t**2 + 106*t**2 + 3*t**3 - 3*t**3 - 2*t**3 to y*t**2 + h*t + k + w*t**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1)**(-7)\/(h**0)**(-50) assuming h is positive.\nAnswer: h**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, a: 1, n: 2}. What is prob of picking 2 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 2 (b) -6\/95 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*k + 60 - 6 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 4*l**2 + 3*l - 143. What is v(0)?\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -471.5 + 469.5. Which is the fifth biggest value? (a) v (b) -0.1 (c) 5\/4 (d) -0.12 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2903.496 litres in millilitres?\nAnswer: 2903496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1174*q**2\/3 + 12912042*q\/5 + 26396\/15.\nAnswer: -2*(q - 6599)*(2935*q + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -223421 at most -223420?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/21 and 37\/69?\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/23 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -41500 divided by 6?\nAnswer: -20750\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 6678469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26 or 469\/18?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1503 is divided by 58?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 792 and 4971.\nAnswer: 1312344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 257821664.\nAnswer: 2, 163, 49429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 1:45 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 24*l - 10*l = 0. Solve -5 = -p + z, 3*p + 5*z + 2 - 9 = l for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, 62142, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = j + 3*j. Let m be (-6)\/(-27) - (-168)\/(-27). Let h be 17 - 1\/(3\/m). Solve 0 = -j*x + w + h, 0 = -4*w + w - 9 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 498 - 413. Is z a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 881392149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fdzclqf. What is prob of sequence fqfd?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wmnwpwwwmmppmpmw. Give prob of sequence mww.\nAnswer: 5\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/3)\/(50\/(-375)). What is the third derivative of -60*p**h - p**2 + 124 - 59 - 63 wrt p?\nAnswer: -3600*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 - 32. Let t = g - -56. Solve t*x - 2 = 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 166221.9 litres to millilitres.\nAnswer: 166221900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -44\/3*y**3 + 1 - 4\/5*y**5 - 6*y**4 - 12*y**2 + 0*y. Solve n(b) = 0.\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 322443\nAnswer: 5\/322443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 1 = -f. Let i(c) be the first derivative of 0*c**3 + 1 - 2*c**f + c**2 - 2*c + 6*c. Factor i(n).\nAnswer: -2*(n - 1)*(3*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h - 2. Let t(c) = 12*c - 8. Let b(r) = 2*t(r) - 9*v(r). Let n be b(-1). Let g(d) = -d**3 + 4*d**2 + 4*d + 2. Give g(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 209 and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -23395, -23397, -23409, -23431, -23463, -23505, -23557?\n\"Answer: -5*p**2 + 13*p - 23403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 64 - 41*z + 4*z - 12. Is a(-4) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1534 + 65368?\nAnswer: 66902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -64.3 + 64.3. What is the nearest to s in -5, -2, 3.8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 589448 + -1?\nAnswer: 589447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -2. Let g(r) be the third derivative of 1\/24*r**4 - k*r**2 + 0*r**5 + 0*r + 0 + 0*r**3 - 1\/120*r**6. Find the second derivative of g(d) wrt d.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + 54)\/((-10)\/(-111)). Let b = -63287\/110 + p. What is the common denominator of -121\/10 and b?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -136 - -88. Let o = 47.6 + q. Sort 6, o, 2 in decreasing order.\nAnswer: 6, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1934 a factor of 78352741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 2)*(-3*f - f + 3*f) - f + 2*f - 2*f + 0 + 3*f + 0 - 28 - 241*f + 31 - 3 to a*f + q and give a.\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 4:19 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7534 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 5:45 AM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 6. Let h be (0\/(-2 - r))\/(-2). Are -1\/7 and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -0.3, 3\/125, 3 in descending order.\nAnswer: 6, 3, 3\/125, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**9)**(-15\/8)*c**(3\/19)*c**(-2\/3) assuming c is positive.\nAnswer: c**(-7927\/456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 4*g + 372 = -3*t, -3*g + 279 = 4*t. What is the remainder when g is divided by (-422 - -427)*12\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of -p + 1\/10*p**6 + 0*p**5 + 0*p**4 + 0 - p**3 + 0*p**2. What is the second derivative of h(k) wrt k?\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*((-95)\/385 + (-3)\/(-7)). What is the nearest to 3\/5 in x, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 458*s + 90799. What is a(-198)?\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 26, -162?\nAnswer: -162","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 9:15 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 890 a factor of 207810550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 13, -58 in descending order.\nAnswer: 13, -3, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 59 - 56. Find the third derivative of -37*b**y - 4*b**2 + 60 - 60 wrt b.\nAnswer: -222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -l**6\/70 + 13*l**5\/105 + 2*l**4\/3 + 8*l**3\/7 - 10*l**2 + 6*l. Determine t so that j(t) = 0.\nAnswer: -1, -2\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -45*d**2 - 1823*d + 1892. Let h(s) = -19*s**2 - 912*s + 946. Let v(m) = 7*h(m) - 3*i(m). Differentiate v(q) wrt q.\nAnswer: 4*q - 915","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54023956?\nAnswer: 2, 7, 97, 19891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1019538?\nAnswer: 2, 3, 13, 4357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-six fifths of a milligram?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 6:06 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -3*v**2 - 36*v**3 - 2*v**2 + 31*v**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 408?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*t**2 - 8*t**4 - 14*t**2)*(-2 - 2 + 6 - 3 - 1 + 2 - 3 - 3 + 4 + 0 - 1 + 0 + (-1 - 3 + 2)*(-3 + 7 - 2) + 0 + 3 - 1 + 10 + 0 - 76).\nAnswer: 568*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 159344*g - 159382*g + 532 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -1774?\nAnswer: -1770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/126 and (-552)\/(-1035)*2\/6?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 + -14 + (227 - 230)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22 - (1 + -3 + 3)) + (34 - 28).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*f = 14. Suppose -2*a = -3*z + 3*a + 50, 4*z - 4*a = 56. What is the lowest common multiple of f and z?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-25422)\/24 - 6\/8. Suppose 5*i + 5*r - 24 = 46, -37 = -3*i - 2*r. Find the common denominator of 83\/18 and 3\/i + k\/(-24).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -q - q + q + (3 + 7 - 6)*(3 - 3 - 2*q)*(4 - 18 - 29) in the form v + u*q and give u.\nAnswer: 343","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 3 = -3*u, 4*u - 3*u = 3*y - 11. What is the second biggest value in u, -2\/3, 10?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*b**3 + 3 - 2*b**2 - 3 + (2 + 1 - 1)*(-b**3 + 0 + 0).\nAnswer: 20*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 1039.913 to the nearest integer.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2345.\nAnswer: 5, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 9 - ((-152)\/(-18))\/2.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388.65 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 1\/8, -6\/11, -2\/25, 5, -1.1.\nAnswer: -1.1, -6\/11, -2\/25, 1\/8, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -4*o**3\/3 - 24236*o**2\/3 - 217880*o\/3 - 484000\/3 = 0.\nAnswer: -6050, -5, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**3 + 1375*s**2 - 186001*s - 187375 = 0. What is s?\nAnswer: -1499, -1, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - 18*n - 39. Does 14 divide j(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 15, -2, 12?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + -1 + -2 + (sqrt(11) - -3*sqrt(275)) + ((5*sqrt(99))**2 - sqrt(11)) + 1.\nAnswer: 16*sqrt(11) + 2473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*t**3 + 14 - 39 + 12 + 13.\nAnswer: -10*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 15449613, 30899233, 46348853, 61798473?\n\"Answer: 15449620*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8, -1, 11\/4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m = -4*m + 13474 + 155214. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - -15. Suppose -4*q = 3*n, q + 11 = 5*n + 4*q. Solve n*v + a = -v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1834 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 37, 0, -2 in decreasing order.\nAnswer: 37, 4, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -w**3\/9 + 142*w**2\/9 - 1381*w\/9 - 2620\/3 = 0.\nAnswer: -4, 15, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 30292.4 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5298651 - -5298653.0409724. Let b = -2.9590272 - p. Let u = b + 5. Round u to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28431 and 27963.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -35\/19578? (a) -3 (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 s when two letters picked without replacement from kkhrssk?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18131604?\nAnswer: 2, 3, 1510967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from tkflllllbbtfklkffl.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a**5 - 580*a**4 - 11955*a**3 + 269680*a**2 - 716500*a + 459360 = 0 for a.\nAnswer: -72, -58, 1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -35*f**2 + 184*f + 160. Give g(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - q + 18 = -3*q, 0 = 3*y - 2*q - 14. Suppose 0 = -y*r - 46 + 526. Suppose 3*v + 3*j = r, j - 309 = -4*v + 2. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 480770138 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 137, 120, 103, 86, 69?\n\"Answer: -17*d + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14\/(-42) + 1384\/12. Calculate the highest common divisor of r and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49355 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -20320278?\nAnswer: 6096083.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 112 and 85246?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in 0, -1\/2, 5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = -5*c + 3064. Does 15 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 164 = -3*b + 133, 0 = -4*v - b + 384. What is the remainder when v is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005996 to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-512)\/480)\/((-144)\/(-20))?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02300902 rounded to 3 decimal places?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3488527487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 511?\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 3*r - 11 - 9, 0 = f + 3*r - 8. Let h be f\/10 + (-33)\/5. What is the units digit of (0 - -15) + 14\/h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 3*g = 10. Suppose 5*z - 19 = -g*s + 11, 28 = 4*s + 5*z. Let d be (s\/3)\/(-2)*15. Put d, 3, -3 in decreasing order.\nAnswer: 3, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f = 3057 - 161. Let j = f + 186. Solve -j*z - 2*z = 21 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/295?\nAnswer: -1\/295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -q - 50260, -g = 5*q + 274046 - 22746. What is q rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9\/4 + -43\/20. Which is the second smallest value? (a) o (b) -1.9 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 7*x**3 + 63*x**2 - 6*x. Let f = 17738 - 17732. Let m(k) = 15*k**3 + 126*k**2 - 13*k. Give f*m(w) - 13*z(w).\nAnswer: -w**3 - 63*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, e: 5}. Give prob of sequence esee.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 32098957309 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/10)\/(-161*11713\/101660).\nAnswer: 2\/371","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*f**2 - 20*f**2 - 14 - 24*f**2 - 821*f**3.\nAnswer: -821*f**3 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4645.9 take away -0.02?\nAnswer: -4645.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) + sqrt(891)*-5 + -2)**2*-1.\nAnswer: -14260 - 144*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.41612 millimeters in kilometers?\nAnswer: 0.00007441612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3471, -14099, -31805, -56583, -88427, -127331?\n\"Answer: p**3 - 3545*p**2 + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of w**9\/12096 - w**8\/3360 + w**6\/720 - w**5\/480 - 5*w**3\/3 + 3*w**2. Let o(x) be the first derivative of u(x). Factor o(y).\nAnswer: y*(y - 1)**3*(y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*h = 33*h + 112. Solve 4*y - 8*y = h for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12422 + -133?\nAnswer: 12256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 17*k. Let w(v) = 2*v**2 - 2*v + 2. Let o(i) = i - 2. Let m be o(4). Let p be w(m). Let z(y) = -4*y - 3*y - y. What is p*g(q) + 13*z(q)?\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 146 - 1368*z - z**2 - 2*z**2 - 144 - 3 as l*z**2 + m*z + i and give m.\nAnswer: -1368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*h + 2. Let x = -1 - h. Solve -13 = -5*l - u, -l - x = -4*l - 3*u for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5243885?\nAnswer: 5, 23, 45599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6\/43 - -8\/559. Let w be (-1)\/(7\/(-12)) + -2. Which is the closest to w? (a) 4 (b) 2\/5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 541 in increasing order.\nAnswer: -2, 3, 541","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 7:20 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22 + 1034?\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a + 1. Let u be r(3). Let y = -240 + 248. Sort y, u, -0.2 in descending order.\nAnswer: y, -0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -694, -4144, -13524, -31798, -61930, -106884, -169624?\nAnswer: -253114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*sqrt(162)*6)\/(-4*(-5*sqrt(144)\/sqrt(3))\/sqrt(8)).\nAnswer: 54*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k**2 - k**2 - 2*k**2 + (k + 3*k - 3*k)*(5*k - 2*k - 4*k))*(-1 + k + 1).\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + 6*w - 1. Let q be i(-5). Let r be (q\/3)\/(1 + -2). Suppose 118 + r = 5*y. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-42)\/(-546) + (-25)\/(-13). Factor 15*h + 10\/3 + 20\/3*h**l.\nAnswer: 5*(h + 2)*(4*h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.367855 times 0.2\nAnswer: 0.673571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 6*f**2 + f + 6. Let a(q) = q**3 - 7*q**2 - q - 7. Let p(d) = -6*a(d) - 7*l(d). Let c(w) = w - 14. Let v be c(15). What is p(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 431579 is divided by 143857.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -256386\/5 + 51277. Suppose 0*t - 4*l + 116 = 2*t, 4*t - 5*l = 180. Is t less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 18818708 and -0.072.\nAnswer: 18818707.928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 37*k**2\/5 - 34939*k + 698188\/5.\nAnswer: (k - 4)*(37*k - 174547)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s - 3*s + 0*s)*(3*s**3 - 3*s**3 + s**3)*(-3*s + 0*s + 2*s) + 4*s**5 - s**2 + s**2.\nAnswer: 3*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2b5 + 4?\nAnswer: -2b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*n + 554 + 44 = -26*n for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*b = -0*k - 10314, -5*b = -4*k + 41286. Suppose 0 = -21*d - 2869 + k. List the prime factors of d.\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4*(-5)\/30)\/((-28)\/12)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1272\/216 + (0 - 6) - (-210930)\/54 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 55 = -0*r. Sort 5, 3, 2, r.\nAnswer: r, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4266, -9179, -14092, -19005, -23918, -28831?\nAnswer: -33744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -13. Let j = -2 - -3. Suppose c - p - 3 = 0, 2*c + 2*p - j = 9. Is v less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -74622293, -74622290, -74622287?\n\"Answer: 3*f - 74622296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -75 + 75. Let n(v) = v + 22. Calculate n(s).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/3)\/(26\/39). Let h(q) = 225*q**2 + 2*q + 15. Let w be h(5). Suppose -c = d*c - w. What is c rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3856 (base 9) in base 8?\nAnswer: 5506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255702735 is divided by 2008.\nAnswer: 2007","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*q = 15. Suppose q*n - 3*s + 19 = n, -2*n - 1 = 3*s. Which is the nearest to 0.1? (a) -4 (b) 0 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34 + (-45 - -44 - -20) + -1 + -3.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/(-4))\/(1\/(-1134)*3). Suppose -6*n + a - 105 = 0. Does 24 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 914*c**2 - 368*c + 17. Is d(-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (30514\/(-836))\/(((-3)\/2)\/3). Sort c, 0, 2 in decreasing order.\nAnswer: c, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -2*c - 5. Let k be (2 - 3)\/(c\/2). Let z(y) = 17*y - 1. Is z(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of w**4 + 1\/14*w**7 - 1\/10*w**6 - 3\/5*w**5 + 0*w**2 + 11*w - 2 + 0*w**3. Factor b(f).\nAnswer: 3*f**2*(f - 2)*(f - 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/(-6))\/(3\/12). Let g be 68\/8 + -3 - 7\/14. Suppose -g*z + 37 = s. Calculate the least common multiple of z and 5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14886577 and 187.\nAnswer: 163752347","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*i + 130*i**2 + 9 - 6 + 47*i**2 + i + 178*i**2 wrt i?\nAnswer: 710","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1058845171 to the power of 1\/5, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -145, 4, -2, 5 in decreasing order.\nAnswer: 5, 4, 0, -2, -145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 5293347.\nAnswer: 4\/5293347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 12*p. Let i = -14 - -18. Let a(o) = -2*o - 2*o + 9*o - i*o. Calculate a(d(f)).\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1557 a factor of 144721593?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-3))\/(3\/36). Suppose -4*z - 220 = -c*z. Let d = 11 + -6. What is the highest common factor of d and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 90 and 67905.\nAnswer: 135810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1803, -3605, -5407, -7209, -9011, -10813?\nAnswer: -12615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/4 + (-22)\/4. Let w(z) = -z**2. Let c(q) = q**2. Let g(v) = m*w(v) - 4*c(v). Let u(r) = 4*r. Calculate g(u(y)).\nAnswer: 32*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8700 + 4334 = 103*f - 4469 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.975 + 53.045. What is j rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and -9663679112177.\nAnswer: -9663679112176.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -40395, 0.1, -5, 71, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 1156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p - 408. Determine b(-41).\nAnswer: -326","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/2)\/((-75)\/(-20))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, k: 8, a: 4, y: 2, d: 4}. Give prob of sequence kaky.\nAnswer: 56\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 136270.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*g + 2472 = 83*g - 13*g. What is the lowest common multiple of 76 and g?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 6:22 AM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(2\/13)*d**(-4\/7))**(-19) assuming d is positive.\nAnswer: d**(-1007\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 59237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-3\/2)\/j*j*j**(-36))**(-2\/17))**38)**15 assuming j is positive.\nAnswer: j**(42750\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -0*y - 12. Is y + 2\/6*3 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**43*f**26 assuming f is positive.\nAnswer: f**69","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1443103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/1150 and 17\/16.\nAnswer: 9200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43 - 1163*i**2 + 2*i - 17 + 35*i**2.\nAnswer: -1128*i**2 + 2*i + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a - 5*w - 0*w + 15, a = 4*w - 12 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 963*b - 1039*b + 769044 = 0. What are the prime factors of b?\nAnswer: 3, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of -93*b**6\/10 + 923*b**3\/6 - 785*b**2. What is the derivative of r(y) wrt y?\nAnswer: -3348*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -365, -381, -397, -413?\n\"Answer: -16*y - 349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9.28829648 and 64.\nAnswer: 54.71170352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7411, 11843, 19227, 29563?\n\"Answer: 1476*d**2 + 4*d + 5931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0095 + -0.009516888. What is y rounded to seven decimal places?\nAnswer: -0.0000169","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 9*k**2 + 10*k + 16. Give m(10).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5*153775798\nAnswer: 768878990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6159*v**3 - 1260*v**2 + 12*v.\nAnswer: 36954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -83, -616, -2063, -4880, -9523, -16448, -26111?\n\"Answer: -76*c**3 - c**2 + 2*c - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 35*c**4 + 60*c**3 - 55*c**2 - 60*c + 20 = 0.\nAnswer: -2, -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000000101301 to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 6*k**2 - 11 + 2*k**3 + 4 + 0*k - k**3 - 2*k. What is the units digit of d(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 187251438?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -991 + 1010. Calculate the remainder when 3988 is divided by c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 * -0.300919\nAnswer: 2.407352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3185*q + 4*f - 23 = 3190*q, -36*f + 248 = -4*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29424 - 29429. Let f = 1 - 1. What is the nearest to r in f, -0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 45070*j + 315457. Give s(7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2274 and 42.4.\nAnswer: 9.64176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*p + 103*p - 3*a + 9 = 0, 5*a = 25 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + 9*c - 16. Let a be o(4). Find the second derivative of -2*p**4 - a*p + p - 16*p - 4*p wrt p.\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-51)\/48*8*(-6)\/(-3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*a = -16*a + 4*p + 210, a + 5*p = -59. Is a <= -69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 19876*a**2 + 36*a. What is the units digit of g(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1869*o**3*y - 2*o**2*y - 77339*y with respect to o.\nAnswer: -5607*o**2*y - 4*o*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 3:30 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -7*a**3\/6 - 129*a**2\/2 - 5*a. What is the remainder when d(-23) is divided by 30?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 8, 6, 1, -4 in increasing order.\nAnswer: -4, 1, 5, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 8*q**2 + 3*q**2 - 9*q**2. Let d(b) be the first derivative of 0*b**2 + 4\/3*b**3 + 0*b - 4. Determine n(d(k)).\nAnswer: 32*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -5*o**4\/4 - 6*o**3 - 6*o**2 + 14*o. Factor z(h).\nAnswer: -3*(h + 2)*(5*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*g**3 + 188*g**2 - 40*g - 14400 = 0. What is g?\nAnswer: -8, 10, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 + -0.2. Let y = 0.21 - 0.38. Let r = -1.17 - y. Which is the smallest value? (a) l (b) 4\/3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2540079 and 729.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddkuduukdud. Give prob of picking 1 u and 1 d.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*(6 - (136\/24 - -2)). Sort -502, -2, 1, i.\nAnswer: -502, -2, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 409727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24872723.\nAnswer: 641, 38803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b + 9. Determine s(-17).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34 - 13. Let d = t + -17. What is the remainder when (-48)\/(-5) - (-2)\/5 is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of p**4\/6 - p**3\/6 + 5*p**2. Let r be v(1). Suppose 4 - 19 = -r*w. Calculate the greatest common factor of 40 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-4) + ((-16)\/4 - -199). Suppose n + 4*t = 44, 3*t + 0*t = 4*n - h. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 146 - 215. Let l = -65 - i. Suppose 0 = -l*a + 15*a - 33. Solve 4*f = -3*m + 1, a*f - 2 = -m - m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -m**3\/3 - 19*m**2\/2 - 13853*m. Let v(j) = -90*j + 2. Calculate t(v(d)).\nAnswer: 180*d - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6 (b) 0 (c) 226 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 25 = 4*c, 0 = -12*c + 10*c. What is the smallest value in -4\/3, a, -7\/5, 1\/2?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -6.275?\nAnswer: -18.825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/25 of a tonne?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.83 - 6?\nAnswer: 92.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 7*c**2 - 2*c - 10. Let v be s(-7). Solve 5*b + v = 29 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/10*1*50\/20.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-14)*11\/33*216\/(-60)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -69*h**4 - 5*h**3 - 154*h - 3.\nAnswer: -828*h**2 - 30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 15) in base 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28675, -59432, -90195, -120964?\nAnswer: -151739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4824398 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*v - 3*v + 17*v)*(v + 7 - 7 + (-6 - 3 + 14)*(2 - 2 + v)).\nAnswer: 156*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 6 = -2*s. Let m(l) = l**3 - 4*l**2 + 2*l - 4. Let f be m(s). Let c(a) be the second derivative of a**4\/12 + 5*a**3\/6 - 5*a**2 + 532*a. Give c(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1424*d**4 - 2742*d + 1?\nAnswer: -17088*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 + -32.05. Let s = -1.44 + 0.9. Let d = -0.94 - s. Sort 1, d, x in decreasing order.\nAnswer: 1, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2180*v - 354*v - 1268*v to h*v + n and give h.\nAnswer: -3802","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*u**3\/8 + 110379*u**2\/8 - 28482*u + 3351\/2 = 0 for u.\nAnswer: -1117, 2\/33, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 66642 divided by 87\nAnswer: 766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1*sqrt(171)\/sqrt(9) + 0.\nAnswer: -sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-9)\/15)\/((-4)\/(-10)). Which is the nearest to 0? (a) -1 (b) q (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 7*u - 1. Let n be l(-5). Let x = -34 - n. Suppose 4*b = -d + 2, -x*d + 5*b = 2*b - 15. Is 6 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -429 - 420 + 1273 - 6866*z**3 - 424.\nAnswer: -6866*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1572.464 + -1674.46492. Let a = i + 102. What is a rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 45*n**2 - 5*n - 69. Let i(p) = -23*p**2 + 2*p + 35. Let j(m) = -2*c(m) - 5*i(m). Differentiate j(q) wrt q.\nAnswer: 50*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -s**8\/1008 - s**7\/210 - s**6\/180 + s**5\/90 + s**4\/24 + s**3\/18 + 13*s**2. Factor f(c).\nAnswer: -(c - 1)*(c + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4336 is divided by 433?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23081862955 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 74617, 298444, 671483, 1193734?\n\"Answer: 74606*v**2 + 9*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 63\/(-26 - (12 - 52) - (-155)\/(-10))\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 69*i + 0 - 173*i.\nAnswer: -242*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/32 and -113\/166208?\nAnswer: 166208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 80*g - 248 - 52 = 0, j + 5*g - 157 = -j for j.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -575656.19 + 5166.19. Let j = 570501.99916 + v. Let k = j - 12. Round k to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**2 + 3*s**2 + 2*s**2)*(3 + 11 + 5).\nAnswer: 38*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 910140 divided by 3940\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -24*t**4 + 31473*t**3 - 137343*t**2 + 141183*t - 35289 = 0. Calculate t.\nAnswer: 3\/8, 1, 3, 1307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or -27.8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8968855?\nAnswer: 5, 7, 19, 13487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 80\/337?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 299 + -190. Is n a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -190.1 - -185.1. Which is the nearest to -1\/4? (a) 0.3 (b) 1\/2 (c) 5 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u\/u**0*u)**12*u**0\/u**(-5) assuming u is positive.\nAnswer: u**53","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49123, -49124, -49125?\nAnswer: -49126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-6) + 1\/(-2). Let v = 2 - f. Find the first derivative of -1 - 5*h**2 + 2*h**v + 4*h**2 wrt h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 15 = 0, 48 = -4*h + 2*q - 18. Let w = h + 14. Solve 4*d + 16 = -w*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p + 3*p + 2*p + (1 + 1 - 1)*(4*p + p - p).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1623636919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14.91 + -15.01. Let a = 6 - 5. Let o = a + -3. What is the biggest value in -0.4, o, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xaozaopapoe. Give prob of sequence ex.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9.115151g?\nAnswer: 0.009115151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, 3, -3 in increasing order.\nAnswer: -3, 3, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -q - 1, -15*q + 12*q - 8 = 4*v for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of v**5\/30 + v**4\/12 - 12*v**2. Let x(k) = -k. Determine 2*t(m) + 4*x(m).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {z: 1, g: 11}.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -5*x + 2. Let i(d) be the first derivative of -d - 1 - 4 + 2*d**2 + 0 - 1. Give 4*i(k) + 3*z(k).\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 + 28. Suppose w + 0*w = 18. What is the smallest common multiple of j and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + -0.40935.\nAnswer: -0.10935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40167305 and 75?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/7)\/n)\/n*n*n*n*n\/n**(1\/8))\/((n**(-1\/3)\/n)\/n**(-6))*n**(5\/4)\/(n*n**(-2\/9)\/n)*((n**(-6\/11)*n)\/n)\/((n\/(n*n*n**(-3\/4)))\/n*n) assuming n is positive.\nAnswer: n**(-7369\/5544)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15489, 24449, 33409, 42369, 51329?\nAnswer: 60289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -0*t - 2*t + 2, -5*t + 5*u = -5. Let o be 1\/t*(-1 + 4). Suppose -4*j + 24 = 4*r, -2*r + 3*j = o*r - 14. Is r a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*v + 7. Suppose v*s = -0*s + 16. Solve -2 = 3*d - 14, d = 4*o + s for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-118)\/(-100) + (432\/45)\/(-8). Which is bigger: u or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/10 and 113\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 5 + 2 + (-2 + 1*sqrt(320))*-4 + 4)**2.\nAnswer: -1088*sqrt(5) + 5409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*z - 8*z - 1640 = 20*z for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2010\/40 + ((-1)\/(-10))\/(2\/(-5)). Solve -3*m - z = -13*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -63*k + 386. Determine l(7).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2050411 is divided by 1805?\nAnswer: 1736","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 136095559 a multiple of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-6))\/((-4)\/(-24)) - -4. Let t be (76\/(-8) + p)*(0 - 2). Solve 0 = -q + 1, 8*c - 3*c + 2*q - t = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 29 = 4*b, 2*n - 61 = b - 71. Let i(s) = -s**2 + 8*s - 6. Calculate i(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + 2*c - q = 8*c - 2*q - 4, 12 = -3*q for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-27)\/15)\/(132\/(-40) - -3). Solve -4*v + 3*a = -15, -4*a + 7*a = -3*v + c for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30798397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 305428 or 9468290\/31?\nAnswer: 9468290\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8367 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*b**5 - 25*b**4 + 10*b**3 = 0.\nAnswer: -2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121329?\nAnswer: 3, 13, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 8*x**2 - 4*x + 5. Let c be v(5). Suppose m + 128 = 5*m. Suppose m - 80 = -4*q. What is the highest common divisor of q and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26820 and 16092?\nAnswer: 80460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(3*sqrt(396) + sqrt(11) + sqrt(396)*-5 + sqrt(11) + sqrt(11))*6)**2.\nAnswer: 1154736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 149 = -21. What is the units digit of 2 - (4 - p)\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/7)\/(24\/84)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -505 + 4605*b + 805 - 298 as j + k*b and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/27 and 70\/129.\nAnswer: 1161","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r + 2. Calculate the remainder when y(-6) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3\/5, -1\/5 in increasing order.\nAnswer: -4, -3\/5, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 6. Suppose 8*d - p*d - 33 = -4*g, 2*g = 4*d - 16. Let i = 5 + d. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o + 7*o - 6*o + (2 - 2*o - 2)*(53 - 16 - 117) - 4*o + o - o + o + 2*o - 5*o + (0 + 2 + 0)*(-o - 2*o + o).\nAnswer: 155*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**2*r**2 - 2*j**2*r - 2*j**2 - 77485*j*r**2 - 2*j*r - 217*j + 2*r**3 wrt r?\nAnswer: 2*j**2 - 154970*j + 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2.11 times -18.21\nAnswer: 38.4231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -38294 times 2.72?\nAnswer: -104159.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -13, -39, -83, -151, -249, -383, -559, -783?\n\"Answer: -r**3 - 3*r**2 - 10*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 98434920 to the nearest ten thousand.\nAnswer: 98430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 33*m**3 - 22*m**2 - 150*m + 567. Determine g(4).\nAnswer: 1727","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2137023731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m - 2*m + 2*m + m + 4*m - 2*m + (m - 3*m + 4*m)*(-2 - 1 + 2) + 0*m + m - 6*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -q**3 - 111*q**2 + 1493*q + 28*q**2 + q**3 + 85*q**2 - 120*q**4 wrt q.\nAnswer: -1440*q**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000007122 rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 5*l - 5. Let c = 13 + -8. Let z(s) be the second derivative of -1\/2*s**3 - 5*s - 1\/20*s**5 + 3\/2*s**2 + 0*s**4 + 0. Give c*z(w) + 3*a(w).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 5*h**2 - 14*h - 26. What is z(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.05 - 0.25. What is the fourth smallest value in 3\/4, 0.1, o, -0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and 24061.\nAnswer: 24061.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g + 4*g - 7*g + 4*g - 52*g**2 + 4 - 144*g**3.\nAnswer: -144*g**3 - 52*g**2 - g + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (2 - 10) - 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10728493 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + -11970457.\nAnswer: -11970453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y - 2*y - 2*q, 2*q = -10. Let x = 9 - y. Suppose 5*d + 2*u + 3*u - 25 = 0, 11 = -5*d + x*u. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 159311 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u**2 + 33 + 5*u - 33 as v*u + p*u**2 + t and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2010703 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1283 - 588. Let y(i) = 2*i - 695 + t. Let a(w) = -6*w + 8. Let r(d) = -4*d + 5. Let b(o) = 5*a(o) - 8*r(o). What is b(y(p))?\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*a**6 + 84166*a**4 + 3*a**3 - 11137*a**2 + 36*a + 3?\nAnswer: 480*a**3 + 2019984*a + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x = -86 + 6. Suppose -130 = -4*b - b. Let h = x + b. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 4*t = 48, 0 = 1191*s - 594*s - 595*s - 5*t + 39 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 95637 from -2.\nAnswer: -95639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + 8*h + 306. Let l be r(-14). Let w(p) = p**2 - 3*p + 5. Let u(c) = 2*c**2 - 3*c + 5. Give l*u(q) + 3*w(q).\nAnswer: -q**2 - 3*q + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -0.4 (b) 1482 (c) 0.2 (d) 4 (e) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmy when three letters picked without replacement from mmmpycmyycccccmy?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2509 in 0, 2\/9, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 504\/(-420)*40\/(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 96 - -17. Let q = 2090 + i. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**2. Let c(b) = -1 - 2*b - 3 - 56*b**2 - 95*b**2 - 161*b**2 - 167*b**2. Determine c(s(r)).\nAnswer: -1916*r**4 - 4*r**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -8, 0, -4, 7, -13 in decreasing order.\nAnswer: 7, 0, -3, -4, -8, -13","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18296.\nAnswer: 2, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1761898 is divided by 12767.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/6 - 19997*v\/6.\nAnswer: -v*(v + 19997)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 78428771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**14\/z)*z*z**(-1\/5))\/(z**(-2\/5)*z*z)**(-1\/19) assuming z is positive.\nAnswer: z**(-1151\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010111111000111001 + 100010?\nAnswer: -10010111111000010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22380 + 22382. Solve 5*n + o*b + 174 = 172, -4*n - 20 = -3*b for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27422 - 219363\/8. Factor -37\/8*c + 3\/4 - l*c**2.\nAnswer: -(c + 3)*(13*c - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 20157956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of -t**3\/3 + 3*t**2\/2 + 6*t. Let j(z) = 1. Determine -2*j(w) + u(w).\nAnswer: -2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*b**4 + 3*b**4 + b**4 + (0 - b**2 + 0)*(-b + b + 2*b**2) - 3*b**4 + 0*b**4 + 2*b**4 + b**4 + b**4 + 0*b**4.\nAnswer: -3*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000361203 to six decimal places.\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 1 - ((5 + -27 - 7) + 6).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rzrzrrrzrz. Give prob of picking 4 r.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 985, 987, 989, 991, 993?\nAnswer: 995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14366*i - 7183*i - 7186*i + 3 - 640*i**3 + 12*i**3 to m*i**2 + p*i + d + j*i**3 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.056 and -205.\nAnswer: -205.056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 168*w - 51. What is the hundreds digit of o(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28036, -30504, -32972, -35440, -37908, -40376?\nAnswer: -42844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/17 bigger than 10\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -131*-6.\nAnswer: 786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13049000 rounded to the nearest 100000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -105460 to the nearest one thousand.\nAnswer: -105000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 2*l - 1. Let k(g) = -g + 4. Let a be k(0). Let u be (0 - -1) + -1 - -1. Let b(v) = -2*v**3 - 2*v + 3*v**3 + u + 0*v**3. Give a*b(r) + 3*j(r).\nAnswer: r**3 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 10, -61*i + 9052 = 5*j - 62*i. Suppose 1466 = 13*v - j. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/((-1950)\/(-221)) + (-60)\/(-40)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 150, 4, -3\/17, -3178?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1125 divide 622786928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 244135707 to the nearest integer?\nAnswer: 15625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 5*i + 3*i)*(0*i - i - i)*(3*i**3 - i**3 - i**3).\nAnswer: -18*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29770, -29457, -28938, -28213, -27282, -26145?\nAnswer: -24802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d**2 + 310589348*d - 310589348*d. Let l(f) = -7*f**2. Give l(i(p)).\nAnswer: -63*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - j - 1. Let s be l(0). Let d = -960 - -959.9857. Let x = -0.3143 - d. Put x, s, 0.3 in ascending order.\nAnswer: s, x, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hnv when three letters picked without replacement from llvllnphvl.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4926*u + 4934*u + 135 = 9845*u for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -345451*y - y**3 + 345451*y.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 17 = 3*c, 647*v + 3*c = 645*v - 0*c - 13 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(112))**2 + (sqrt(56)\/sqrt(2) - sqrt(28)) + (4*(0 + (sqrt(175) - (sqrt(175) - (sqrt(175) + 1 + sqrt(175)))) + sqrt(7)))**2.\nAnswer: 352*sqrt(7) + 14016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105540919.8 + -0.47.\nAnswer: 105540919.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -b**4\/12 - 2*b**3\/3 + 3*b**2\/2 - 3*b. Let j be w(-7). Is (-212)\/j + (-4)\/(-18) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.007 - 1.207. Sort -142, w, -4 in decreasing order.\nAnswer: w, -4, -142","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*s = -29*s - 12. Solve 2*m + s = 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 + 5. Suppose -45*x + 550 = -o*x. What is the greatest common factor of x and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 0 = -15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 454 is divided by 49.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**2 + 6553*p - 45822 = 0. What is p?\nAnswer: 7, 6546","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6076 and 1225.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 362926260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -394*q + 133*q + 120*q + 105*q + 92*q.\nAnswer: 56*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -4*o**2 - 2*o**2 + 5*o**2. Let b(v) = 2*v**2. Let h(c) = c**2. Let a(p) = 2*b(p) - 5*h(p). Determine a(z(t)).\nAnswer: -t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9776756?\nAnswer: 2, 11, 222199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 217145, 434413, 651681?\n\"Answer: 217268*p - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of a**4\/8 - 5*a**3\/2 + 15*a**2\/2 + 2. Let d(r) be the second derivative of s(r). Differentiate d(u) with respect to u.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143037073.\nAnswer: 19, 97, 77611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 224792, 3, 1 in ascending order.\nAnswer: 1, 3, 224792","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 34, -5, 864, 8.\nAnswer: -5, 3, 8, 34, 864","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -4*x - 1. Let g be z(-1). Let t = -46 + 58. Let v be (-5)\/(-15) + 68\/t. Solve 3*w + 2*d - d - 4 = 0, 3*w = -g*d - v for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.139*0.3\nAnswer: -1.2417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 16*p - 5. Let y be k(4). Let g = -54 + y. Calculate the remainder when 49 is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(5\/3)*u*u)\/u)\/u)\/u*u**(2\/27)*(u*u**(-2\/15)*u)**(28\/9) assuming u is positive.\nAnswer: u**(884\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3215097 is divided by 8666?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4\/2575 - 2591\/10300. What is the biggest value in -124, f, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-105)\/225*5\/1*27\/(-2)*-2?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -3. Let l = 3 - a. Suppose 0 = -3*r + l*z + 1 - 8, -6 = 3*z. Let f(t) = t - 6. What is f(r)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 90*y**3 + 48*y**2 - 2*y - 1691917 wrt y.\nAnswer: 270*y**2 + 96*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*(0 - (2 + -3)) - -51. Let c(w) = 2*w**2 + 2*w. Let s = 5 - 3. Let l be c(s). What is the greatest common factor of l and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-250)\/20)\/(5970\/5972 - 1). Let r = l + 61700. Suppose 3*m = -15, -2*m = -v + 3*m + r. What is v rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-267 - 114 + 282 - 2*f)*(2 - 2 + 1).\nAnswer: -2*f - 99","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 45575*-247.29\nAnswer: -11270241.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 w when three letters picked without replacement from njnwjwnnj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-3))\/((-4)\/(-6)). Let x = 44.1 - -133.8. Let g = x + -178. What is the third biggest value in -0.7, s, g?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39067563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -74*x + 11. Let z(m) = -15*m + 2. Let k be (10\/30)\/(8*(-12)\/1728). Calculate k*c(b) + 33*z(b).\nAnswer: -51*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38478312*g**6 - 18*g**2 - 3*g + 15588?\nAnswer: -4617397440*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000000 (base 2) to base 10.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.23188681 * -3\nAnswer: -0.69566043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f - 43. Give t(-3).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + (sqrt(117) - 1*sqrt(117)))*5)\/((sqrt(252) + sqrt(63))\/sqrt(7)) - (2*(sqrt(1300) + 1 + sqrt(1300)))**2*2.\nAnswer: -41608 - 955*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 + 28. Let h(q) = q**2 - 7*q. What is h(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 45 + 2696b8?\nAnswer: 26970d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 2*y + 5*y)*(5*y - 9*y + 5*y).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 3*b - 2*b)*(2*b + 4*b - 4*b) - 40 + 11*b**2 + 210*b - 211*b + 42.\nAnswer: 15*b**2 - b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -73 in -9, 2\/3, 2?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 56, -6 in decreasing order.\nAnswer: 56, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of -x**4\/12 - 3*x**2. Let c = -3 + 7. Let v(w) = -w**2 + c*w**2 + w**2 - 5*w**2. What is k(v(d))?\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + i + 8 - 2 = 0, 6*l + 782*i = 778*i - 18 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*v = 6200. Round v to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1152 and 747.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1590 is divided by 140?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4951 or -4950?\nAnswer: -4951","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.03 + -0.57. Let i = -0.4 - k. Let f = 0.2 - i. Put f, 2, -2\/5 in descending order.\nAnswer: 2, f, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 191314064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 148892 - 148894.99998. Let o = -3 - c. Round o to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 0, -4, 4, 111, 3, 0.105?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42409084.\nAnswer: 2, 17, 349, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tju when three letters picked without replacement from lutjutk.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 176 + -175.9168. Round h to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 p when two letters picked without replacement from {p: 2, j: 2, m: 3, a: 2}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/4)*j**(2\/23)*j**(8\/5)\/(j**9*j) assuming j is positive.\nAnswer: j**(-3709\/460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10909*a**2 - 808*a + 212*a**4 + 7*a**3 - 10909*a**2 wrt a.\nAnswer: 2544*a**2 + 42*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30179 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1629\/10 + 4113\/20. Let p = -43 + d. What is the smallest value in 0.1, -4, p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -3*n - 51, -3*h + 1 = n + 25. Find the common denominator of 97\/22 and (-19)\/(-4)*n\/(-12).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -313153263 + 313153424.0000161. Let f = -161 + r. What is f rounded to 6 decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 5*r + 1. Let y be o(1). Let g = 6 - y. Factor 0*l - 2\/5*l**2 + g.\nAnswer: -2*l**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)\/sqrt(4)*-1)**2 - sqrt(10)\/(sqrt(25)\/sqrt(5)) - (3*sqrt(810) + sqrt(10))\/sqrt(5).\nAnswer: -29*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*s**3 - 7*s**4 + 7*s**4 - 2*s**4 - 2*s**4 + 4*s**4 - 4*s**4 + (2*s**3 - s**3 - 2*s**3)*(-s + s + s) - 3*s**4 + 4*s**4 - 2*s**4.\nAnswer: -6*s**4 - 15*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + f + 3. Let a be b(-2). Let t = 11 - a. Suppose t*u - 235 - 95 = 0. List the prime factors of u.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5049 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1932 is divided by 99?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2018.\nAnswer: 2, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 3*u - 144, -u + 19 - 15 = 0. Which is greater: q or -36?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b. Let i = -148 + 156. What is p(i)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8764, -35089, -78972, -140419, -219436?\n\"Answer: -j**3 - 8773*j**2 + j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31592.42 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2154 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 20 = 0, -3*k + n + 0*n - 35 = 0. Is (-149)\/(-4 + (-35)\/k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.8021 to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -381*v - 27779 + 305927 + 786366. What is the remainder when v is divided by 147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13835454.\nAnswer: 2, 3, 2305909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 622.3 + -3801.5. Round j to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 1708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4119, -8217, -12315, -16413, -20511?\nAnswer: -24609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58490.\nAnswer: 2, 5, 5849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44 - 29 - (-6 + 6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in 1.4, -14, 1.3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20)\/(-6)*(-24)\/(-16). Let r(x) = -99*x - 5. Let j(v) = 49*v + 2. Determine y*j(z) + 2*r(z).\nAnswer: 47*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + l**2 + l. Let s(u) = -8*u**3 + 17*u**2 + 6*u + 2. Determine -6*q(p) + s(p).\nAnswer: -2*p**3 + 11*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 78 = 2*k, 0 = 6*k - 10*k - 12. Suppose 0 = 3*a - 5*b - 37, 11 = a + 5*b - 8. What is the highest common divisor of i and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25312514 + 143?\nAnswer: 25313101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from 11869225.\nAnswer: 11869228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.303 - 2.303. Which is the second smallest value? (a) -2 (b) m (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*l**3 - 3*l - 168*l**3 + 3*l + 84*l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-4) + 3\/2. Suppose o = -3*t + 5*t - 4. Suppose -3*k + t*k = -3*f + 46, 41 = 3*f + 4*k. Solve b - f = -2*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1090, 1038, 986, 934, 882, 830?\nAnswer: 778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: 200333401 (base 5) to base 15\nAnswer: 109e51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**14)**(-4\/31) assuming c is positive.\nAnswer: c**(-56\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 1\/24370, -2\/5.\nAnswer: -3\/5, -2\/5, 1\/24370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.05 - 0.05. What is the second biggest value in -3\/2, f, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/12)\/(-2*1). Let u = 80.8 - 75.8. Sort u, -0.3, w, -2\/5 in increasing order.\nAnswer: -2\/5, -0.3, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 8*o - 4. Let u be b(6). Let z be -345*(u\/12 + 4). What is the units digit of 2\/(-26)*-2 - z\/104?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 5*o. Let w(j) be the second derivative of j**4\/6 + 65*j + 1. Give w(p(n)).\nAnswer: 50*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4011, -4125, -4239, -4353, -4467?\nAnswer: -4581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 28 + 46 - 20 + 58*f - 54*f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -19\/15*o**3 + 0 - 1\/30*o**5 + 16\/45*o**4 + 6\/5*o**2 - 11*o. Let a(y) = 0. What is y?\nAnswer: 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 6 = 2*h, h + 5*x + 8 + 3 = 0. Let f be 3*-1 + (-1)\/h. What are the prime factors of 84\/8 + f\/(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x = -4*x - 32, -2*x + 26 = 7*t + 6 + 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -10*u**3 + 95*u**2 + 48*u + 20. Calculate d(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(52)\/sqrt(4) - ((sqrt(13) - sqrt(13)*-2)**2 + sqrt(13) + sqrt(13))*1.\nAnswer: -122 - sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 905300 is divided by 291.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of m**2 - m + 4 + 0*m + m - 3*m. Differentiate n(i) wrt i.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of a**7\/42 + 21*a**4\/4 - 46*a**3 - 7*a**2 - 10. What is the first derivative of c(h) wrt h?\nAnswer: 20*h**3 + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 11815343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 3*j - 4 = 0, -2*a - 3 = 5*j + 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2484.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10227796 and 10227796?\nAnswer: 10227796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*j = -20 + 8, 4*w + 3*j = -24. What are the prime factors of (-1 - -7)\/(w\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8487*p - 6307*p + 3463*p - 709*p.\nAnswer: -12040*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -13, -45, -97, -169, -261, -373, -505?\n\"Answer: -10*m**2 - 2*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 358824.\nAnswer: 2, 3, 14951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.05 - -0.04. Let z = 4.09 - k. Let m = -3 + z. Which is bigger: -2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 275700 is divided by 2842.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001106 to 5 decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -4372200 to the nearest one hundred thousand.\nAnswer: -4400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*u + 42601 = -u. Is 13 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u + 111. Let o be s(-26). Let d = o - 146. Solve h + j = 7, -1 = 2*h + 3*j - d for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 + 29. Suppose -5*l = -10*l + c. Let y be (l\/(-6))\/(4\/120). Which is bigger: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**3 - 4*n**3 - 4*n**3 + (-374 + 374 - 3*n)*(-4*n + 4*n - n**2) - 2*n**3 + 0*n**3 + 9*n**3.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9673?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34\/(-40) + -1 + (-570)\/(-950).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/2 and -103\/16670.\nAnswer: 16670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 33 (c) 292 (d) 0.3 (e) -61 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5269?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 23\/83 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/14 - (-15)\/(-35). Which is bigger: t or -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2266, -1767, -1268, -769, -270?\nAnswer: 229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 5\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of 4\/105*z**7 + 0*z**5 - 2\/3*z**4 + 0 - 2*z**2 + 0*z**3 + 0*z**6 + 0*z. Find the second derivative of c(n) wrt n.\nAnswer: 96*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -41.48 in -157, 0.01, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i + 4*i - 5*i**2 + (-1 + 2*i + 1)*(-1 + 1 + 3*i) + 3*i + 2*i - 6*i - i**2 + (-2*i - 4 + 4)*(2 - 2 + 3*i).\nAnswer: -6*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + n = 0, -30*x + 25*x + 9 = n for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2160684978?\nAnswer: 2, 3, 19, 113, 167729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2951 and 3?\nAnswer: 8853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 s when three letters picked without replacement from kkksqqkkkwsk?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1327973 and 5?\nAnswer: -6639865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1459.\nAnswer: 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((4 - 2) + 0 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51674 divided by -4551.\nAnswer: -51674\/4551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*v + 16. Let f be -1*(-2)\/14*v. What is the second biggest value in f, -1\/4, -0.2, 41\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 9 (b) 1\/2 (c) -5 (d) 6321\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/6*(-13)\/((-975)\/60)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) 47 (b) -4 (c) 2\/15 (d) -1\/26 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*n + 40*n = -10. Suppose 14*o - 9*o = -n. Which is greater: o or -4\/25?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -27, -104, -231, -408, -635, -912?\n\"Answer: -25*j**2 - 2*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 196 (base 15) to base 7\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -215 divided by 43\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 107524647*b**6 + 2152*b**2 + 615*b - 3.\nAnswer: 12902957640*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + -41 + 25 + -7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -85*w - 137 + 53*w + 27*w wrt w.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 255 + -240. Solve c*j = 17*j + 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 10 = y. Let t = -10 - y. Solve t*h - 3*h = -15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 65, 99, 133?\nAnswer: 167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 542540, 542539, 542538, 542537, 542536?\nAnswer: 542535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -143970.45929047 + -4.\nAnswer: -143974.45929047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -43+2.19158\nAnswer: -40.80842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -594, -827, -1076, -1347, -1646, -1979, -2352, -2771?\n\"Answer: -o**3 - 2*o**2 - 220*o - 371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39.5429ug to grams.\nAnswer: 0.0000395429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 6*w**2 + 4*w + 6. Suppose 0 = -2*q + 5*p + 31, -p - 3 = 4*q - 10. Suppose -2*g = -4*s - 2, -s + 9 = -q*g + 2. What are the prime factors of v(g)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l**5 + 23705*l**4 - 354385*l**3 - 308105*l**2 + 4323390*l + 4253400 = 0.\nAnswer: -3, -1, 4, 15, 4726","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, b: 14}. Give prob of sequence bbb.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 + 1236\/124)\/((-141)\/(-564))?\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 26 + -1 + 1 + -22.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 10*b**2 - 16*b + 5. Let c(p) = p**2 - 5*p + 5. Calculate the remainder when c(7) is divided by o(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -60, 7\/4, 5, 4?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 501*w**2 - 655*w + 3901. Is h(6) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, h: 5, w: 2}. What is prob of picking 1 b and 2 w?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17111 + 17114. Which is the closest to -1? (a) 2\/13 (b) -0.5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**2 + 2*p**2 - p**2 + (-p**2 + 0*p + 0*p)*(0 + 2 - 1) - p**2 + 3*p - 3*p - p**2 + 7*p**2 + 0*p**2)*(-18*p**2 + 10*p**3 + 18*p**2).\nAnswer: 20*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 179073342 by -89536671.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 184 - 187. List the prime factors of (880\/(-60))\/(-1 + (-1)\/l).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290910005 is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 179\/480 and -127\/30.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 272 and 476.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 1:04 AM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3*n**2 + 8. Let s be w(-4). Let f = 108 - s. Does 13 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -1\/3, -79?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.2 - 7.5. Let j = -2.3 - i. What is the smallest value in j, -21, -3?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (61 - 58) + (1 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2610*d + 1292*d + 13 + 1317*d. Let w(v) = 2*v**3 + 7*v**2 - 7*v - 5. Let l be w(-4). Give o(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148881 is divided by 296?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v. Let a(s) = 27258*s - 1. Calculate h(a(t)).\nAnswer: 109032*t - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -563069*k - 18298 = -564376*k for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 215628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-32)\/240 - (-97499998)\/(-15). Round y to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55.3286 days to hours.\nAnswer: 1327.8864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/((-1701)\/72)*12\/(-16). Is n != -385?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2448*t**5 - 13*t**4 - 410217*t.\nAnswer: -48960*t**3 - 156*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-34)*c*c)\/c**(-2\/13) assuming c is positive.\nAnswer: c**(-401\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**4 - 3*n**5 + n**4 + 5*n - 7*n**5 - 5*n + (1 - 1 + 3)*(-n**5 + 0*n**5 - n**5).\nAnswer: -16*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -5*a**4 + 11*a**3\/3 - 9*a + 9. What is the third derivative of u(h) wrt h?\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-1*((sqrt(931) + (sqrt(931) - (sqrt(931) - (2 + sqrt(931) + -5))) + sqrt(931) - sqrt(931)) + sqrt(931) + 2 + sqrt(931) + sqrt(931) + 4)*1)**2.\nAnswer: 7560*sqrt(19) + 838224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c + 80. Let n(o) = -8. Let b(p) = -4*l(p) - 40*n(p). Let j(i) be the second derivative of 1\/6*i**3 + 0 + 0*i**2 - 2*i. What is j(b(a))?\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, e: 2, q: 1, s: 4}. Give prob of picking 2 s, 1 q, and 1 e.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1475978 times -5?\nAnswer: 7379890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2335 is divided by 36.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244 = 11*t - 156. Sort t, -4, 9, -3 in descending order.\nAnswer: 9, -3, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9a315 (base 14) in base 9?\nAnswer: -628663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 16*o**4 - 6350*o**3 + 317286*o**2 - 4237744*o - 534688 = 0?\nAnswer: -1\/8, 28, 341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13104443222 + 0?\nAnswer: 13104443222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 4:20 PM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 131800 and 45250.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 345031.9 weeks in days?\nAnswer: 2415223.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 215883\/50 - 4317. Let p = t - 4\/25. Which is the biggest value? (a) -2\/21 (b) p (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b3 + -16a9b?\nAnswer: -17092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 12, 3, 18, 0, -54 in decreasing order.\nAnswer: 18, 12, 3, 2, 0, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 2*t - 2194. Let a be (-24)\/(-84) + 2 + t\/(-14). Is (-10 + a)*7\/2*2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 358196 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -5750 and -5750 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 75 = -5*g, 6*b - 11*b - 62 = 4*g. Let p be 14\/91 + 2628\/g. Let a = p + 359. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 11*v**2 + 2*v**2 + 4*v - 6*v**2 + 5*v**2. Let h be x(-2). Calculate the highest common divisor of h and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 4:44 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**2 - l**3 - l**2 + 3*l**3 + (1 - 2 + 2)*(2 - 2 + 2*l**3).\nAnswer: 4*l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) 5 (b) -41.4 (c) -4 (d) -199\/6 (e) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/(3150\/(-4))*-3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17231.4847 plus 1726?\nAnswer: 18957.4847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 4:22 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -40438*w + 106647 wrt w?\nAnswer: -40438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126\/12*28\/6 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fkh when three letters picked without replacement from {l: 1, h: 4, f: 2, g: 4, k: 3, c: 3}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 3*m - m)*(2*m + 4*m**3 - 2*m) + 25*m**2 - m**4 - 25*m**2 + (4*m - 4*m - 2*m**2)*(-m**2 - 3*m**2 + 2*m**2) + (0*m - m - m)*(-2 + 2 + 2*m**3).\nAnswer: 7*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 12811, 51273, 115385, 205147?\n\"Answer: 12825*o**2 - 13*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-89)\/(-89)*((-1)\/(21\/18))\/2.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 250 = r - 0*h, h = -3*r - 700. Round r to the nearest ten.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -227*q**3*y**2 + 1052*q**3*y - q*y**2 - 1346798*q wrt q?\nAnswer: -1362*q*y**2 + 6312*q*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27007*u + 26985*u - 418 for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 33\/(-1232)*-16 - ((-1262066)\/14 - 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 714353 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1064 and 179702.\nAnswer: 5031656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + 4 + -12 + 3. Put a, -1, 31 in increasing order.\nAnswer: a, -1, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6093.43kg?\nAnswer: 6093430000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5\/150*35*(-2)\/14\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g. Let k(u) = -19*u**2 - u + 352. What is b(k(h))?\nAnswer: 57*h**2 + 3*h - 1056","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -405324, -405333, -405342?\n\"Answer: -9*f - 405315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -41437, -5, 0 in ascending order.\nAnswer: -41437, -5, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 5*k + 24. What is the lowest common multiple of 32 and k?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 111, 105, 99?\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/5, 450\/113, -2\/9?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-12)*(-24)\/(-18)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 86*f - 1588 + 470 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*n + 4*g - 10, 5*g = n + 10. Suppose 3*i - 82 = -5*b + 60, -5*b - 2*i + 138 = n. Calculate the remainder when 32 is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -54817\/62 and -883 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 2:16 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(130) - 1*sqrt(130) - sqrt(130))*1)\/((sqrt(110)*-5)\/sqrt(11)))**2*-2.\nAnswer: 156\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 338 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 3:59 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**2 - 2*i**3 - 4*i**2)*(-7 + 1 - 12).\nAnswer: 36*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -401 - 0.3413109912?\nAnswer: -401.3413109912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 5*s = 15, f = -44*s + 48*s for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 + -87\/5. Let o = 0.32033 - 0.12333. Is y less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2271508615?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -759*z**3 - 769*z**3 + 1531*z**3 + 1. Let q(c) = -c - 2. Let p be q(-3). Determine l(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(315) - (sqrt(315) + sqrt(315)*-2)) + sqrt(315) + sqrt(35))\/sqrt(5).\nAnswer: -20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(16)\/(sqrt(16)\/(sqrt(2)*-1)))**2 + 1).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -22*o**2 + 0 + 0*o - 10\/3*o**3 + 1\/12*o**5 + 0*o**4. Determine y so that l(y) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7982, -15900, -23822, -31748, -39678?\n\"Answer: -2*z**2 - 7912*z - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a**3 - 11*a**2 + 11*a - 11. Let t = -14 - -6. Let b be ((-33)\/(-12))\/(2\/t). Let p(w) = -w**3 - 4*w**2 + 4*w - 4. What is b*p(f) + 4*s(f)?\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157936 is divided by 14223?\nAnswer: 1483","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23023 and 1552201.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 6*a**2 + 3*a + 4. Let n be (1\/(-3))\/((-3)\/(-27)). Let p be s(n). Suppose 0 = v - 0*v - 3, -4*c + 5*v + p = 0. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -21, -35, 7329 in decreasing order.\nAnswer: 7329, -4, -21, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 71779964112 take away -9?\nAnswer: 71779964121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 1:26 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 207 and 3.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1 - (-3 + 7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((400\/70)\/(-10))\/(4\/(-14))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 20\/6 + (-160)\/120\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(847) - -1*sqrt(847))*3)**2.\nAnswer: 30492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + h = -3*h - 12, -2*h = -g - 6. List the prime factors of 22\/1 + (0 - g).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**3*c - 24839*a**3 - 82*a**2*c + 35*a*c wrt c.\nAnswer: a**3 - 82*a**2 + 35*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 719 is divided by 65\/2*(1 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24422 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.11 - -0.06. Let l = y - 0.02. Let q = l + -0.03. What is the nearest to 0.1 in -2\/13, q, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 AM and 7:40 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a93 - 381?\nAnswer: 712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllkllkkkkll. What is prob of picking 1 l and 3 k?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -577, -578, -579, -580, -581?\n\"Answer: -v - 576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 84 = -2*h. Let g = 21 + h. Let b = -10 + 13. Solve g = -m + b*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 15, -1, 6 in ascending order.\nAnswer: -1, 4, 6, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3234030307?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - ((9\/(-3))\/(-1) + 7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, d: 2, m: 9, u: 6, s: 1}. Give prob of picking 1 m, 1 s, and 2 u.\nAnswer: 45\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 338 + -4?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 42*s**3 + 1 - 26*s**3 + 0 + 3 + 4*s - 6*s**2. Let o(x) = x**3 - x**2 + x + 1. Determine h(u) - 6*o(u).\nAnswer: 10*u**3 - 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 8\/3, -3\/4, 45, 6, 5 in ascending order.\nAnswer: -3\/4, 8\/3, 5, 6, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (506\/(-55) - -9)*-30\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 2:04 PM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f + 4*f + 0*f)*(f - 3*f + f)*(17 - 8*f - 6 - 9) as j*f + p*f**2 + h*f**3 + q and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 3*s - 13. Let f(j) = 3*j - 6. Let b be f(s). Let p = -1 + b. Is p a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wszluwo. Give prob of sequence owzl.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 m when three letters picked without replacement from maeeaaaimaiaaaaaeya?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 328635?\nAnswer: 3, 5, 67, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/7, -1309.5, -2\/361?\nAnswer: -1309.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11976\/58889 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-62)\/36 + 76\/342)*2*-2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 536.7 + -537. Which is the nearest to 0.1? (a) -1\/7 (b) 2 (c) p (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p + 1. Let d(c) = 161*c - 6. What is -4*b(f) - d(f)?\nAnswer: -169*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -206388 by -7644.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -341.5 * 0.2.\nAnswer: -68.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2642560771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**3 + 2*d**2 + 6*d + 350. Let x be y(0). Calculate the greatest common divisor of 150 and x.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1 (b) -3322 (c) 211\/4 (d) 5 (e) -5 (f) -3 (g) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1281*m = 1288*m - 14. Let p(r) be the first derivative of -19 - 1\/2*r**4 + 9*r**2 + m*r**3 + 10*r. Factor p(x).\nAnswer: -2*(x - 5)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i - 28 = -10*i. Find the second derivative of -7*w - w - i*w**2 + 15*w wrt w.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 26 = 3*w, 5*w - 5*o + 15 = -0*w. Suppose h = -w*a - a + 1, 3*h - 5*a - 17 = 0. Let b(p) = 55*p - 3. Is b(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -247 + 252. Solve u*j + 2 - 22 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3 + 54*o**2 + 430*o + 858.\nAnswer: 2*(o + 3)*(o + 11)*(o + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 15. Let u(b) = 60*b**2 - 9*b - 2. Is u(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from tttttttttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 8*x + x. Solve x*f = 5*f + 20 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.15 + -127.31. Let z = -129 - u. Is z < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 4*w = 4 - 16, -4*l + 26 = 3*w. Suppose 2*m - 10 = -3*m. What is the biggest value in 1\/5, l, m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 145859 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/10 - (-158)\/(-1185)*246\/(-4). Calculate the greatest common divisor of c and 11871.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 301.0282 - 301. Round v to three dps.\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*s - 80*s + 268*s + 40 - 4 - 69*s - 79*s.\nAnswer: -36*s + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 25511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -160, 1, -3, -4, 3, 63 in decreasing order.\nAnswer: 63, 3, 1, -3, -4, -160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 4203*b + 9. Let i = 189 + -192. Let w be t(i). What is w rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*m**4*v + 175*m**3*v + 28*m*v + 2*m + v - 9 wrt m.\nAnswer: -120*m**2*v + 1050*m*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7732286 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 3*v + 5*n + 43, 4*n + 24 = 4*v. What is the biggest value in v, -3, 0.4, 2\/17?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12133001302 (base 4) in base 14?\nAnswer: -323734","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + t - 2 = -q, -2 = 2*t. Suppose 5 = -q*l - 7, 3*l = -d + 119. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -267\/1948?\nAnswer: -267\/1948","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/(-1*sqrt(28)\/sqrt(4)).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.286 + -1.386. Which is the smallest value? (a) 4\/9 (b) u (c) 22 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -12, -61, -188, -429, -820, -1397, -2196?\n\"Answer: -6*r**3 - 3*r**2 + 2*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -9.2, 1 in descending order.\nAnswer: 1, 0.1, -9.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 319 a factor of 689477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 2235382.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -10*k. Suppose 0 = 2*m - m + 53. Let g = -49 - m. Let r(u) = -g + 0*u + 4 - u. Give b(r(v)).\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(154)*3)\/sqrt(7))\/(sqrt(11) + (sqrt(11) - sqrt(396)*3)).\nAnswer: -3*sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z - 256 + 946 = 0. Suppose -2*a - 2 = 80. Let t = a + z. Solve 0 = 3*b + b + 4*y + 32, 2*y + 31 = -t*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 3*z + 5. Let m be l(4). Suppose 5*i - 6*x + 3*x - 8 = 0, m = -x. Let t = 3 - i. Which is smaller: t or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 93*a - 2109. Let h be q(-41). Sort h, -4, -59 in decreasing order.\nAnswer: h, -4, -59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 24 = 7*u. Find the second derivative of -2*r - r + 5*r + u*r**3 - r wrt r.\nAnswer: 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/5 (b) -4 (c) -91\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11\/42 + 1\/3. Suppose m + 6 = 2*m - 3*h, h = m. Let d = -166.23 + 165.93. What is the third smallest value in d, m, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -50*k - 161. Give r(-5).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 570*c - 62724 = 4242 + 21384 for c.\nAnswer: 155","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1463586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cuuc when four letters picked without replacement from ccccucucuccucuuu.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x**2 - 89*x + 46. List the prime factors of v(44).\nAnswer: 2, 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -192*v**5 + 10872*v**4 + 754101*v**3\/4 - 4946802*v**2 + 22765743*v = 0.\nAnswer: -26, 0, 133\/16, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22297\/248 - 711\/8. Find the common denominator of 51\/248 and r.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 5*o - 8. Let r be l(-7). Let g(v) = -v - 6. Let h be g(r). Which is greater: h or -13?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -4*r - 2. Let g(t) = 9*t + 3. Give 6*g(f) + 13*x(f).\nAnswer: 2*f - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 114865401 to the power of 1\/3, to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22\/195 - -4\/15. Suppose -5*u + 63 - 43 = 0. What is the smallest value in -1\/9, u, j?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 207798\/413 - (36\/14)\/(-3). Calculate the highest common factor of v and 112.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 985*c**2 - 4548*c + 4548. Calculate d(1).\nAnswer: 985","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.4 (b) -2 (c) -5 (d) -1\/10 (e) -42861.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 - 23. Suppose g = -2*i + i + 4. What is the nearest to 2 in 0.5, 2\/3, i?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012210012011 - -1021020?\nAnswer: -1012201220221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4*x + 13. Calculate m(-10).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163861469.\nAnswer: 6217, 26357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, a: 12}. What is prob of sequence ii?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 2:58 AM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -46 + 0.71.\nAnswer: -45.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3\/7 + 15*u**2\/7 - 3*u\/7 - 15\/7.\nAnswer: 3*(u - 1)*(u + 1)*(u + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of 14*a**3\/3 + 4*a**2 - 7*a. Let o be i(6). Suppose -2*h + o = -0*q - 2*q, -4*h - 4*q = -344. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185*d**2 - d**2 + 22*d**2.\nAnswer: 206*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 9*u**2 - 12*u + 23. Let j be l(10). Suppose 3*h - 381 = -m - j*m, -4*m = 0. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.611 - 0.611. Which is the nearest to -7\/6? (a) v (b) -5 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((12\/8)\/(-3))\/(2\/(-2156)). Suppose 5*y - 337 = -3*o, 2*y + y + l = 5*o. Does 14 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2 - 294*n + 2288.\nAnswer: (n - 286)*(n - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-45))\/(2\/(-15))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 192271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000226717 rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*p**3 + 0*p**3 + 3*p**3 - 8*p**3 - 4*p**3 - p**3 + (0*p**2 + 0*p**2 + p**2)*(-6*p + p + 3*p).\nAnswer: -17*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*i + 2*w + 6*w + 1388 = 0, 8*i + 8*i + w + 208 = 13*i for i.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 41*j**2 - 181*j + 2544. Let f be g(38). Let u = -0.26 + -0.04. What is the smallest value in -0.06, u, 0.5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -1244*y + 23660. Determine z(19).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 7*u**2 - 19*u + 19. Is n(-14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1438.\nAnswer: 2, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3}. Give prob of picking 2 m.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-51)\/(-2))\/((-7)\/(-14)). Let k be 34\/v - (-10)\/(-6). Does 5 divide (-56)\/(-4) + (0 - k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + 22*o**2 - 49*o - 163. Calculate m(-24).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - w**2 + 3*w + 1555. Let u be m(0). Suppose 0 = 5*i - 840 - u. Let o = 789 - i. Is 62 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + -143?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 111\/70 + -83\/70. Let t = -0.9 + -8.1. What is the closest to -0.1 in t, j, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66630876 to the power of 1\/2, to the nearest integer?\nAnswer: 8163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n**3 - n**2 + 1. Suppose -3*s - 12 + 39 = 0. Let f be ((-2)\/6)\/((-3)\/s). What is g(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -2. Let r be (-2 + x + 6)\/(-1). Let q be (2 + -56)*r\/2. Calculate the highest common factor of q and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -99*h**3 + 68957*h + 68111587 wrt h.\nAnswer: -297*h**2 + 68957","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 97 + 24?\nAnswer: bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7514 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-140)\/12*21\/(-35). What is the highest common factor of 238 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 126 = 6*z, 11*a - 9*a - 4*z + 84 = 0 for a.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 735 (base 8) in base 5?\nAnswer: 3402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -37008.\nAnswer: -1\/37008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-30)\/8)\/(2\/(-1328)). What is l rounded to the nearest 100?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -130 divided by 13.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do -4\/52793 and -2\/127 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/15)\/((-65)\/30) - (-84)\/546?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/4))**(-2\/111)*(n\/((n**(-2\/5)\/n)\/n)*n)**(-1\/3)*(n\/(n\/n**0)*n*n**2)**(-17) assuming n is positive.\nAnswer: n**(-19411\/370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -41 * 118\nAnswer: -4838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, u: 5, x: 7}. Give prob of sequence ucu.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cffc when four letters picked without replacement from {c: 5, v: 3, f: 3}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218*d - 118 = -z + 217*d, 0 = 3*z - 5*d - 362. Suppose 4*n - n = 0. Suppose -2*a + 34 + 26 = n. What is the remainder when z is divided by a?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -4*s**2 - 139*s - 100. Calculate i(-37).\nAnswer: -433","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q + 66. Let g(w) = -13. Let a = 5609 + -5607. Calculate a*z(f) + 11*g(f).\nAnswer: 2*f - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 13*c**2 + 209863*c - 839657. Calculate m(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -0.040191.\nAnswer: 0.0160764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12903*j*m**3 + 2*j*m + 237*m**3 + 10007075*m wrt m?\nAnswer: -77418*j*m + 1422*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*m + 794*m**3 - 792*m**3 + 16*m.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1146127 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -0.5, 19, -1\/18?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/15)*n*n*n**(15\/4)*n**(28\/3)\/(n**(-4\/25)*n) assuming n is positive.\nAnswer: n**(1431\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*y - 43*y = 49*y + 28*y - 9000 for y.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(5) - (sqrt(45) + 2)).\nAnswer: -2*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -7*z**3 - 21*z**2 + 39*z + 348. Calculate b(-8).\nAnswer: 2276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -502*s**4 + 374*s - 1 - 31*s**2 + 309*s**4 - 374*s to the form v + w*s**4 + h*s + y*s**2 + u*s**3 and give y.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42\/2605 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/11)\/(-7)*12\/2.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i. Let t(g) = 15*g. Let x be -10*(-2 + (-75)\/(-10)). Calculate x*v(n) - 4*t(n).\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 - 11*z + 11. Let o be d(11). Let x(q) = q - 13. Let s be x(o). Let c be (-3 - s)*(-1 - 0). Solve g + 3 = -c for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7817.1 + 7817. What is the closest to 7\/12 in w, 1, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-7 + (-6 - -27))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -216 + 218. Which is the third smallest value? (a) m (b) 4\/7 (c) 0.03 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 6 + 2)*(3*s - 9*s - 14*s)*(3 + 3 - 4).\nAnswer: -560*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -13\/14?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*((-25)\/(-10))\/(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 5*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -336*k + 375*k + 741 = 0 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77 = 324*x - 275*x - 2128 for x.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17656322, -17656311, -17656300, -17656289, -17656278, -17656267?\nAnswer: -17656256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/9792 and 17\/336.\nAnswer: 68544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w + 4*w - 4 - 5 - 2*w. Calculate t(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -w - 225. Let r be (4\/(-6))\/((-25)\/w). What is the first derivative of -11*t**4 + 1467*t**2 + 6 - 1467*t**r wrt t?\nAnswer: -44*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 7*b. Let o(v) = 20*v**2 + 80*v - 40. Let i(c) = -2*c + 1. Let n(d) = 200*i(d) + 5*o(d). Give h(n(s)).\nAnswer: 700*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((12324\/4329)\/79)\/(4\/2)\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 413?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 270*t = 274*t - 7, 3*c = -t - 11 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -33866 at least -3.53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1474883477 to the nearest integer?\nAnswer: 1138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -11*g**2 - 2 + 2. Let j(l) = 168*l + 77. Let i(z) = 92*z + 42. Let f(q) = -11*i(q) + 6*j(q). What is p(f(k))?\nAnswer: -176*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 13.12461\nAnswer: 8.12461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 + -36. Let g = m - -26. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of h**3\/6 + h**2\/2 - 3*h. Let o be j(4). Let s be 0 - -2 - -3*1. Calculate the greatest common divisor of s and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1513541 + 0?\nAnswer: 1513541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 55092*b - 2370823. Determine i(-43).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4709 + -18731\/4. Let j = -26 + p. Let a = 0.1 + 0. Sort j, a, -0.2 in decreasing order.\nAnswer: j, a, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/3664 and 89\/48.\nAnswer: 10992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7220642153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 2*v**2 + 16*v - 14. What is the hundreds digit of t(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w = -122*w + 2932 + 318 for w.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56259892?\nAnswer: 2, 13, 317, 3413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -215.9*0.3.\nAnswer: -64.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 57?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u - 10*u - 2*u)*(-u + 2*u - 3*u) + 74*u + 34*u**2 - 74*u.\nAnswer: 64*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 54325 divided by -53\nAnswer: -1025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65 - 21 - 44 - (2 + 1 - 44)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -3*t - 24, 34 = -16*z + 17*z - t. What is the greatest common divisor of 13 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 181, 426, 767, 1198, 1713?\nAnswer: 2306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-26003 - 26013 + 6663*a + 52018)*(4*a - 2*a - 4*a) + (a + 2*a - 4*a)*(-2*a + 5*a - a) - 2*a**2 + 0 + 0 in the form j*a**2 + c*a + f and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69042679.\nAnswer: 2671, 25849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4213 - -3?\nAnswer: -4210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39 - 26. Suppose -5*n - 205 = -2*b - 146, 4*b = 3*n + 83. Solve -b - 9 = -p*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 333 (base 4) in base 8?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-6)*(51 - 3). Solve -7*a = -15*a + c for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 263.4773 nanometers?\nAnswer: 0.00002634773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, m: 2, g: 3, l: 1, y: 4}. What is prob of sequence gmm?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45 - 69. Let n = 30 + o. 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: Let o = 4.16054 + -0.16054. Sort -11, -6\/11, 5, o, 2\/9 in decreasing order.\nAnswer: 5, o, 2\/9, -6\/11, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and 0.25958.\nAnswer: 0.25958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -7*f - 4. What is the remainder when -129*(f - (-10)\/6) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 5*j + 6 - 1, 2*j + d + 2 = 0. Let q(l) = l**3 + l**2 - 1. What is q(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 1885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**3. Let p(q) = -18*q**3 - 2*q**2. Let w(l) = 14*a(l) + 2*p(l). What is the third derivative of w(j) wrt j?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65858 to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 22\/55 + (-18)\/(-5). Suppose -x*f = 5*i - 32, 2*i - 5*i = -3*f + 24. Suppose 0*k + 2*k - f = 0. Solve 4*o + 3*h + 26 = 5*h, 5*h = k*o + 41 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 27*j - 894. Determine a(31).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a centimeter in micrometers?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 108, 220, 342, 480, 640, 828, 1050, 1312?\nAnswer: 1620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7883748 and 360?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -12 (b) 4 (c) -2\/17 (d) 0.4 (e) -1\/4 (f) -257 (g) -8\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n - 6. Let c(q) = q - 1. Let i(l) = -3*c(l) - s(l). Let t be i(6). Put t, -5, -2 in decreasing order.\nAnswer: t, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36766519*i*w**4 - 145167*i*w - 8*w**5 - 238*w wrt w?\nAnswer: -441198228*i*w**2 - 160*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1707, 3413, 5119?\nAnswer: 6825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 7:52 AM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 35956265 or 35956273?\nAnswer: 35956273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1052967390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/125 and -33\/16?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 0)\/(-5 + -4 - -7). Suppose s = -2*c - 4*d - 14, -3*c + d - 6*d = 20. Sort 2, 5, -4, c in descending order.\nAnswer: 5, 2, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a hour in minutes?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/2967633 and 67\/198.\nAnswer: 65287926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**3 - 84*x + x - 9*x)*(0*x + 0*x - x).\nAnswer: 3*x**4 + 92*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 - 12 - 94*p - 27*p**3 + 0*p**3 + 94*p.\nAnswer: -27*p**3 + p**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 138 = k + 38, -4*k - 5*v = -422. Suppose -56 = 5*z - 2*x, -5*z - x - 53 = -2*x. Let q = z - -22. What is the highest common factor of q and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, g: 1, q: 1, f: 1}. Give prob of picking 2 r and 1 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 78*q**2 + 259*q - 2504. Calculate g(75).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 5*y + 32. Which is the closest to 1\/4? (a) 3\/5 (b) y (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (5*(3*sqrt(6) - sqrt(6)))\/(5*sqrt(2)*-2) + 4.\nAnswer: -sqrt(3) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 5832?\nAnswer: 29160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*f**3*i**3*k - 34*f**3*i**2*k - 15395*f**3*i + 2*f**3*k + 54864*f*i**6 wrt i?\nAnswer: 108*f**3*k + 6583680*f*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**(3\/2)*h))\/(h\/h**16)*(h\/h**(-9))**(-9) assuming h is positive.\nAnswer: h**(-155\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 + -27. Suppose -h + 4*z + 3043 = g*z, -3*z = -5*h + 15207. Suppose 0 = 6*b + 1008 - h. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 21*u**2 - 43*u + 29. Give k(-23).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6\/13, 2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 70*g + 27. Let o(k) = 12*k. Calculate h(o(q)).\nAnswer: 840*q + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -19*p. Let f(l) = -138046*l**2 - 4*l + 12. Determine f(b(x)).\nAnswer: -49834606*x**2 + 76*x + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 0 - (-2 - (-1 - 4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 321454619?\nAnswer: 101, 3182719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a - 5. Let t be l(9). Suppose i = t*i. Let k(z) = -14*z - 12. Let v(h) = -5*h - 4. Let w(q) = -6*k(q) + 17*v(q). Determine w(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 6*w + 16. Let g(o) = 2*o + 5. Let t(b) = -11*g(b) + 4*l(b). Let c be t(-6). Is (c - -8) + (1 - -1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 0.321\nAnswer: -1.284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.03 + -0.12. Which is the second smallest value? (a) -1\/3 (b) -4\/3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.027 in -9, 3, 134?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 1 - 15. Let c(p) = -5*p - d*p + 2*p**2 + 9*p. Let t(f) = -4*f. Determine t(c(s)).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 103?\nAnswer: 3\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11851121*k**6 + 12*k**2 - 5091 wrt k?\nAnswer: -1422134520*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 2. What is the third biggest value in p, 2, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1139, 3937, 8637, 15245, 23767, 34209, 46577, 60877?\n\"Answer: z**3 + 945*z**2 - 44*z + 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-18) + (-115)\/(-90)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 213 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of 0*p - 16*p**2 + 0*p**4 - 7\/3*p**3 + 0 - 7\/20*p**5. Differentiate h(s) wrt s.\nAnswer: -42*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00140919 rounded to 5 dps?\nAnswer: -0.00141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 + 37 + -153 - -174?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 0*o = t + 18, 5*t = -2*o - 25. Let x be 1*t - (0 - 3). Suppose a + 0*a - 19 = x. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235 = 11*u - 125 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12 - 28?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -2. What is the second derivative of -x**p + x**4 + 0*x - 3*x - 2*x**4 wrt x?\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b**4\/3 - 12003508*b**3\/3 - 12003484*b**2\/3 + 20005836*b - 12003504 = 0.\nAnswer: -3000876, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2*(sqrt(245) + -1) - sqrt(245) - 3*(0 + sqrt(245)) - (3*sqrt(245) + sqrt(245) + -2 + 1 + sqrt(245) + 1))*5)**2.\nAnswer: -7700*sqrt(5) + 741225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 308 and 704.\nAnswer: 4928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 35\/5*288\/252. Which is the nearest to v? (a) 3 (b) -0.4 (c) -0.5 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 915.64 to the nearest integer.\nAnswer: 916","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4*n = 11 + 1, 0 = -2*r + 4*n - 12. Let f(u) = u**3 + u. Let d be f(r). Solve w + 2 - 1 = d for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**2 + 12*x - 14. Let d(r) = -r**2 + 6*r - 7. Let c(g) = -7*d(g) + 3*y(g). Calculate the remainder when c(6) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1116369 and 59.\nAnswer: 65865771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + k - 1. Let o(y) = -2*y**2 - 3*y + 3. Give o(w) + 4*r(w).\nAnswer: 2*w**2 + w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)*3 + 2 + 4 + 2 + sqrt(300) - (-2*sqrt(18)*3)\/(sqrt(6) - ((sqrt(30) - (sqrt(90)\/sqrt(3) - sqrt(30))) + sqrt(30))\/sqrt(5)))**2.\nAnswer: 544*sqrt(3) + 3532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 749396, 749388, 749380?\nAnswer: 749372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 221 = -35*w + 46 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of 60 - 25\/2*m**2 + 21*m - 4\/3*m**3. Factor f(p).\nAnswer: -(p + 7)*(4*p - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 1. Let y = 6 + -10. Let x(b) = 2*b**2 + 59*b + 28. Let i be x(-29). Put q, i, 6, y in decreasing order.\nAnswer: 6, q, i, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-20)\/18)\/(765\/(-306)) + (-2)\/9. Factor 40\/3 - m*k**3 - 128\/9*k + 38\/9*k**2.\nAnswer: -2*(k - 15)*(k - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -6*s. Let a(u) = -7*u. Let m(v) = -5*a(v) + 6*k(v). Let n(o) = 35*o - 139*o + 41*o + 46*o. Determine m(n(q)).\nAnswer: 17*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.104234ug to milligrams.\nAnswer: 0.006104234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -37 + 7. Suppose 5*q - c*q = 0. Solve -3*v - 2*u = -v + 10, q = 4*v + 3*u + 16 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -7. Does 12 divide (-120)\/(-4)*t\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29 + 54. Is 13 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*k - 7*k + 31052. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of k*m**2 - 2*k*m - 13736*k - 10937*m**2 - 2 wrt k.\nAnswer: m**2 - 2*m - 13736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 3*r + 12 = 0, -2*u - 3*r = -0*r - 13 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*m = -36*m + 431036 + 307042. What are the prime factors of m?\nAnswer: 53, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**8))\/j**(-8)*(j**2)**(1\/69))\/((j**(-3)\/j)\/j**(4\/3))**(1\/22) assuming j is positive.\nAnswer: j**(206\/759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-281288)\/(-396) - (-2)\/9. Let m = n + -710. Let f = 41\/55 - m. Which is smaller: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 10283571?\nAnswer: 10283576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 27704 times 283?\nAnswer: 7840232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 3223022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7.43 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000042448 to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/22 and -9\/761026.\nAnswer: 8371286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/8)\/w*w*(w**(-22\/7)\/w)\/w*(w\/(w\/(w*w\/(((w\/w**20)\/w)\/w))))\/(w*w**34))**(-18\/11) assuming w is positive.\nAnswer: w**(8577\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4*f - 4*r + 12 = 0, -4*f + 6 = 2*r. Let t be (2 + 0)\/((-4)\/6). Sort t, 3, f in increasing order.\nAnswer: t, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2591.6744 and -0.054961?\nAnswer: 2591.619439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -24*o + 5020. Let x be w(-58). What is the highest common factor of 687 and x?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 192 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13101, 26824, 40555, 54300, 68065, 81856, 95679, 109540?\nAnswer: 123445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u + 3. Let p(y) = y. Suppose 23 = 3*q + 2*g + 3*g, q - 4*g + 15 = 0. Let h(t) = q*w(t) - 3*p(t). Let a(i) = -1. What is 5*a(j) + h(j)?\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 3:43 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 3*o - i = -23, -3*o - 3*i = -21. Let v be 3*20\/(-15) - (0 + -4). Solve v*q = -2*q - o for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/110 and ((-3)\/6)\/((-968)\/(-672)).\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -0.045 (c) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -7*r**3 + 3*r - 2. Let i(o) = -4*o**3 + 2*o - 1. Let a(l) = -5*i(l) + 3*q(l). Let k(n) = -n**3 + 2*n**2 - 2*n. Calculate 2*a(y) - k(y).\nAnswer: -y**3 - 2*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = x - 4*u + 15, -18 = -3*x - 3*u. Suppose -3*p = -x*c - 6*p - 5, -2*c + p + 7 = 0. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 - 48\/120?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17*-184.8.\nAnswer: -3141.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s + 8. Let j(u) = 8*u + 1. Let o(t) = -2*t**3 + t**2 + t - 1. Let r be o(1). Let m be j(r). Let q be n(m). Let k(c) = -8*c + 1. Determine k(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(847) + 0)*5 + sqrt(847))*-1 + -1*(sqrt(847) + -1 - sqrt(847)) + 1)**2*-3.\nAnswer: -91488 + 792*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 3*w - 8 + 5.\nAnswer: 3*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**2)**(-6) assuming d is positive.\nAnswer: d**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -3586512 > -3586516?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 24\/56*7*(-10)\/3. Which is bigger: -47\/5 or v?\nAnswer: -47\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-78)\/(-8) - (-3)\/12. Suppose 2*o - k = -3*o. Which is the closest to 1? (a) 1 (b) 4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -6 (c) -2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, z: 1, o: 2, a: 2, t: 5, r: 1}. What is prob of picking 1 o and 1 z?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m - 3. Let k be y(3). Suppose 68 = k*q + 20. What is the lowest common multiple of q and 18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61 - 58. Let o = 5.44 - 1.31. Let k = o + -4.1. Which is the third smallest value? (a) -0.3 (b) y (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 168.35 - 171.35. Which is the closest to 6? (a) -5 (b) j (c) 2\/7 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - (-236)\/(-16))*4. Round k to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 255 and 1875?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 35\/40)\/(-13 - 2110\/(-160))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 75117*y - 1727695. Calculate z(23).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 365 + -361. Let q = -33.1 + 33. Which is the second biggest value? (a) l (b) q (c) -1\/71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 9*a**2 + 4. Let b = 0 + 9. Let z be w(b). Suppose -8*k + 9*k - 59 = 5*v, 4*v + 12 = 0. Calculate the greatest common divisor of z and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29348309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 104 + (-23 + 20 - 23) + 40 + -24 + 1\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32 + -27. Which is the closest to 2\/7? (a) 0.3 (b) 0.4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of -1\/360*m**5 + 0 - 5*m**2 + 0*m - 1\/9*m**3 + 5\/144*m**4. Factor t(j).\nAnswer: -(j - 4)*(j - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 376.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(76)*-1*5 + sqrt(76) + -4*sqrt(76)*-1))\/((sqrt(36)\/(sqrt(18)\/sqrt(2)) - sqrt(48)\/sqrt(300))*-5))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4092097730 to the nearest integer?\nAnswer: 1599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 243581831 to the power of 1\/5, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.50486 and 2292.\nAnswer: 1157.13912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 32010913217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 349284\/1043 + -2344\/7. Put -1\/3, -2\/9, n, -2\/3 in increasing order.\nAnswer: -2\/3, -1\/3, -2\/9, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5 = a, 0 = 5*i - 2*a - 0*a - 4. Let t(h) = h - 2. Let l(n) = 3 + 3*n - 4 - 2 - 2. Calculate i*l(b) - 5*t(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p + 3*p + 4 - 4*p + 2*p**3 as u*p**2 + b + h*p**3 + v*p and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3e4 - 10?\nAnswer: -404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1432030 (base 6) to base 10\nAnswer: 82098","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) 2 (c) 556\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.7, -0.02, -0.1, 4 in ascending order.\nAnswer: -0.7, -0.1, -0.02, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, w: 1, a: 1, b: 1, x: 1}. Give prob of picking 1 g and 1 x.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 1 - 318*g**3 + 316*g**3 in the form l*g**3 + u + j*g**2 + r*g and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10)\/(-55) + 449\/11 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 + 23 + 32275454*p - 50.\nAnswer: 32275454*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + -49631193003.\nAnswer: -49631193002.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-14) - 0 - (35 + -34)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35) - (sqrt(175) + sqrt(175) + 2*sqrt(175))\/sqrt(5)) + sqrt(175)\/(sqrt(20)\/sqrt(4)))\/(-1*(sqrt(847) - 3*sqrt(847))).\nAnswer: -sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 668 = -4*m, 2*h = 3*m + 4*h - 484. What is the first derivative of j**2 - 122 + 38*j**2 + m wrt j?\nAnswer: 78*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.033, 4\/23, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 170585750?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -27*w**6\/10 - 432*w**5\/25 + 189*w**4\/10 + 2156*w**3\/5 + 14063*w**2\/10 + 9604*w\/5 - 102. Determine f, given that x(f) = 0.\nAnswer: -7\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of q**4\/12 - q**3\/6 - 7*q**2\/2 - 227*q. Give w(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 2*w - 22, -6*k - 5*w + 1 = -3*k. Let u = 12 + k. Is 19 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 209880080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(2*sqrt(726) + sqrt(726)))\/(sqrt(63)\/(sqrt(63)\/sqrt(7)*-5)).\nAnswer: -5*sqrt(2)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -1070?\nAnswer: 4\/535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -991b3 (base 13) to base 14\nAnswer: -72dd7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ixxbriixixiirlibplii. Give prob of sequence rxip.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 659387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q + 2*l - 1 + 5, -q + 3*l = -13 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1120340 rounded to the nearest 10000?\nAnswer: 1120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 1280005 = 5*o, 0*o = -o + 1. What is d rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 31\/5 of a week?\nAnswer: 62496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8440.139ml to litres.\nAnswer: 8.440139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.054 and 0.3786.\nAnswer: 0.3246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/(-1197)*(-25333)\/(-329)?\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x - 5. Let m be k(5). Let i(v) = -v - 2. Suppose 4*f = -2*u + 20, 0*u + 2*f = 2*u - 2. Let j(s) = 3*s + 5. Let l(t) = u*j(t) + 11*i(t). What is l(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 43, 134, 303, 574, 971, 1518?\nAnswer: 2239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/11 - 35606*f\/11 - 1105708\/11.\nAnswer: 2*(f - 17834)*(f + 31)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2364 and 330555756.\nAnswer: 2364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 w when two letters picked without replacement from {w: 1, p: 1, u: 2, e: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-3))\/t**(-9) assuming t is positive.\nAnswer: t**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -5*i**4 + 215*i**3 - 760*i**2 - 860*i + 3120 = 0.\nAnswer: -2, 2, 4, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/4 and 101\/228?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 8:08 PM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 54188?\nAnswer: 379316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -5*k - 2. Let h(s) = 520*s + 1 - 3 - 524*s. What is 4*h(r) - 3*x(r)?\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 k when two letters picked without replacement from oooooooooookokkooooo.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 339926.\nAnswer: 2, 349, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1286103 is divided by 431?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2934120 and 7335300?\nAnswer: 14670600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**3 + 5*o**2 + 5*o - 2. Let y(k) = k**3 + 3*k**2 + 3*k - 1. Determine 3*q(x) - 5*y(x).\nAnswer: x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dy when two letters picked without replacement from dyyvvdddydy.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 287521 and 221?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 54*x + 8748. What is t(-162)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61935 is divided by 4082.\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 171 = -3*k - 152 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2652.\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, c: 2, n: 2, f: 1, q: 1}. Give prob of sequence cq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + g - 4. Let q(m) = 3. What is -3*q(y) - 2*u(y)?\nAnswer: -2*y**3 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12573676?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7720976 and 19352.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1110285389\/16884 + -591836\/9. Calculate the common denominator of -97\/12 and f.\nAnswer: 5628","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence thc when three letters picked without replacement from xtthxxhxcxxttx?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 40570534 to the power of 1\/3, to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3096988945 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**3 - 97*q**2 - 48*q - 80. Give w(-48).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 10*x - x**2 - 16*x + 14*x. Calculate h(10).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/4571 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 5.316162 centuries?\nAnswer: 0.5316162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*j**5\/5 - 10*j**4 + 246*j**3\/5 + 218*j**2\/5 - 12*j = 0 for j.\nAnswer: -5, -1, 0, 2\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4217078g to milligrams.\nAnswer: 421.7078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f + 4*c - 249 + 162, -2*f + 176*c - 558 = 0 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2679*b + 2*a = 2674*b - 6, 4*a - 6 = -b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*g - 74 = -21*g. Suppose 2*f - 1 = 3*m + 49, -g = -3*f + 4*m. Calculate the remainder when 62 is divided by f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17320*m**2*z**3 + 771*m + 504172768*z**3 wrt m?\nAnswer: -34640*m*z**3 + 771","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57794206 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 623.3 and 0.2?\nAnswer: 124.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 + -76. Let u be (-9)\/6*(-8)\/6. Find the common denominator of -9\/10 and ((-207)\/d)\/((-3)\/u).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1833 is divided by 92.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 12) in base 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*n + 276*n = -421*n - 244*n + 17262 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -23*i + 26*i. Which is greater: i or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fflvfkfrdkrrf. Give prob of picking 1 v, 1 f, and 1 r.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 c when three letters picked without replacement from ucuzuucuuuluu.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 1:23 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 15 = -l, -5*l - 37*o + 39*o + 35 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4310 - -4362.26. Let w = v + -52. Let t = w + -0.06. Is t smaller than 33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -19*g**6\/60 + g**5\/12 + g**4\/8 + 7*g**3\/6 + 127*g**2 + 2*g. What are the prime factors of w(-2)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 748077028?\nAnswer: 2, 109, 919, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 417601 and 3534?\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -56 + 57. Suppose 3*s = -2*s + 10. Solve 3*v - 2*l - w - s = 0, -2*l = -2*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -7*d + 11. Suppose 2*h = -2*o + 6, d*o + 0*h - 3*h = 31. Solve -x - o*w + 13 = 3*x, w - 5 = -2*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hy when two letters picked without replacement from wlhlqhqlyddy?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 1. Suppose 3*h + b - 11 = i, 3*h - 4*b + 9 = -b. Suppose -3*q + 8*q = -h*t + 24, -3*q + 16 = 2*t. Solve -6 = q*v + 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1150?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -4*o**3 - 2*o**2 + 15*o + 26. List the prime factors of t(-4).\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 14) to base 13\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 957197578?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*n**3 + 7*n**3 + 2*n**3 + (-2*n + 9*n - 2*n)*(-2*n**2 + 5*n**2 - 4*n**2))*(1 - n - 1) in the form m*n**4 + f*n + h + g*n**3 + y*n**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 295.8 - -4850\nAnswer: 5145.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.004 and -9292.\nAnswer: -9291.996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.8 times 6947?\nAnswer: 401536.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -220345 + 12144?\nAnswer: -204201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -42373 (base 10) to base 14\nAnswer: -11629","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -4, 0.2, -0.7, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/(-10))\/(26\/130). Put p, -5, 5 in decreasing order.\nAnswer: 5, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6634 - 6634. Suppose c = 4*l - 2, -2*l + 1 = 2*c - 5. Which is smaller: r or l?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-8\/3)*x**(-17) assuming x is positive.\nAnswer: x**(-59\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 = -141*s + 129*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -359.9 to the nearest ten.\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 27861077?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.02 + -19.98. Let g = n - -20.00039. What is g rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 626.7242l?\nAnswer: 626724.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 5*b + 46 = 0, -80*i = -77*i - 3*b + 60. Let c be (-2747)\/(-6) + (-1)\/i*3. What is c rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of 9\/20*v**5 - 1\/60*v**6 + 18*v**3 - 11*v + 0*v**2 - 9\/2*v**4 + 0. Solve p(r) = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 9*i + 2. Is 4 a factor of j(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x - 39. Let v be u(-11). Let o be ((-54)\/v)\/(3\/12). Solve -t - 3*g + 4 = 4*t, -4*t - o*g + 5 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 47.82047686 to 2 dps.\nAnswer: 47.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k + 1. Let r(s) = s**2 - 5*s - 6. Let g = -3 + 1. Determine g*r(i) - 10*x(i).\nAnswer: -2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f - 9*f - 73*f.\nAnswer: -83*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 109029353 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hihcicchhvvhhih. What is prob of sequence vcc?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 6 + 3)*(-1 + 1 + s) + 0*s - 9*s + 5*s in the form v + p*s and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**3 + 621*y**2 - 1101*y - 314 = 0. Calculate y.\nAnswer: -157, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4072, -505, 10770, 29759, 56468, 90903?\n\"Answer: y**3 + 3848*y**2 - 7984*y + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mo when two letters picked without replacement from mkooydmoddn.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 3*y**2 + 2196*y - 10957. What is l(5)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13207 + 20045?\nAnswer: 33254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 712 is divided by 24.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114000000 = -2*z - 2*z. Let x(s) = -s + 7. Let g be x(3). Suppose -g*h - h = z. What is h rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2*v = -0*l - 8, -2*l = 3*v - 4. Suppose l*x + 2*f = 482, -4*f + 488 = 2*x - 0*f. List the prime factors of x.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -373 + 376. Let g = 2.89 - p. Which is the second smallest value? (a) g (b) 1\/7 (c) -2 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.77 and -0.0871?\nAnswer: -0.067067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*8.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-216)\/(-36) + (-7110)\/(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**4\/2 - 165*n**3 - 17725*n**2\/2 + 783750*n - 11281250 = 0. Calculate n.\nAnswer: -190, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37743?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6b - -319b?\nAnswer: 3228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4222345976831.9569946 - 4222346417277. Let f = 440445 + g. Let t = f - -0.043. What is t rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 905?\nAnswer: 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**(3\/7)))\/(q**(-2)*q)*q**(-1\/7)*q*q**(-3) assuming q is positive.\nAnswer: q**(-5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 171455768 + -0.0692848.\nAnswer: 171455767.9307152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**5 + q**4 + q**3 - q**2 + q - 1. Let k(o) = 9*o**5 + o**4 + o**3 - o**2 + 5*o - 5. Let u(g) = 5*a(g) - k(g). Factor u(x).\nAnswer: -4*x**2*(x - 1)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d + 2*d - 4*d)*(74*d + 5*d + 44*d).\nAnswer: 246*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182 is divided by 116?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194 is divided by 30?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 45967 from 8.\nAnswer: -45959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 3*y**5 + 1974*y**4 - 7935*y**3 + 5970*y**2 + 7932*y - 7944 = 0.\nAnswer: -662, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1050) + (sqrt(1050) + sqrt(1050) + 4*sqrt(1050))*-3)\/(2*sqrt(600)*4) + 3)**2.\nAnswer: -51*sqrt(7)\/8 + 4327\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*a = -64*a - 154*a - 130*a + 28356 for a.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -29754011, -29754009, -29754007, -29754005, -29754003?\n\"Answer: 2*z - 29754013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 0*q - 5*l + 21 = 0, -3*l = q - 3. Let k = 145 - -459. Suppose -13*o + 332 = -k. Calculate the greatest common factor of o and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164 = -10*w + 6*w. Let h = -163\/4 + w. Which is the nearest to 1\/3? (a) h (b) -1\/5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 3. Which is the second smallest value? (a) 1\/3 (b) -2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -6*f - 11. What is n(-5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(441\/28)*1.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19900776 by -4.\nAnswer: 4975194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.92 - 4.02208. Let x = o - -0.1157. What is x rounded to 3 decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 5 = 3*x, 15*x - 19*x = 5*q + 45 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 144 and 3474.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 - ((23 - 12) + -62)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (19*(-32)\/(-4864))\/(26\/32)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.2 (b) 0.09 (c) -638\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 515118.4l in millilitres?\nAnswer: 515118400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (905\/3620)\/((-10)\/(-16)*(-2)\/(-115)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*f**2 + 28*f**2 - 11*f**2 - 4*f**2 - f**2 + 4*f**2 + (3 - 5 + 0)*(-3*f**2 + 0*f**2 + f**2) - 4*f**2 + f**2 + f**2 + f**2 + 0*f + 0*f.\nAnswer: 35*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + (52\/4 - -4). Calculate the greatest common divisor of m and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4608 and 69408.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 150840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of 127*r**5\/20 - r**4\/6 + 5*r**3\/6 - 6*r + 1. What is the third derivative of n(q) wrt q?\nAnswer: 762","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-46709)\/(-143))\/((-1)\/(-27)) - (-4)\/(-22).\nAnswer: 8819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 52\/(-44) - -5 - (-4)\/22. Which is the second biggest value? (a) -0.4 (b) 2\/49 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - -24. Suppose -4*l + 60 = 2*z - 0*z, l - a = 4*z. What is the remainder when 29 is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eighteen fifths of a meter?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ka when two letters picked without replacement from {a: 1, c: 8, k: 4}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 - 4*k**2 + k**2. Let g(a) = -a**3 - 7*a**2 - 9*a + 7. Let h be g(-5). Let m(o) = -26 + 26 + 10*o**h. Determine u(m(c)).\nAnswer: -200*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 522 = -2*s, 5*s = -2*l + 189 + 1107. Suppose -s = 2*q - 7*q. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - z + 0*z)*(-1 + 1 + 1) + (2 - 6 - 2)*(6*z + 0*z - 4*z).\nAnswer: -11*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 240288*s. Let q(m) = -255*m. Give q(b(y)).\nAnswer: -61273440*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -r + 5*t + 6, 3*r + t = 50. Determine i so that -184*i**3 - 30*i**5 + 47*i**2 + 120*i**4 + 5*i**5 - r*i + 9*i**2 + 40*i**2 = 0.\nAnswer: 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -3.8. Which is bigger: 3\/10 or q?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.6 - 0.4. Let t = 1 + r. Let l = -11 - -6. Which is the third biggest value? (a) 0 (b) t (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 5*q + 150. Let p be a(-30). Solve -r + 5 - 3 = p for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.59401 rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + 23 - (2 + -3 - -4). Find the first derivative of 0*q + 0*q - a*q**2 + 3 + 2*q**2 wrt q.\nAnswer: -36*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h + 243*h - 2707 - 2270 = 0 for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 826.\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 8, y: 3, b: 7}. What is prob of picking 4 b?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -25, -19, 9, 65, 155, 285, 461?\nAnswer: 689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + p - y + 392 = 0, -5*y + 602 = 3*p. Suppose t - g + 30 = 82, 0 = -4*t - 3*g + p. Suppose -6*m + t = 2. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 81984*z**6 - 424*z**4 - 874*z**2 - 9*z + 538 wrt z.\nAnswer: 9838080*z**3 - 10176*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of -j**5\/60 + 2*j**2 - 39778. Let f(r) = 50*r. Let i(p) = -101*p. Let b(t) = -9*f(t) - 4*i(t). Give b(o(k)).\nAnswer: 46*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 1208311?\nAnswer: 2416622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3)*3 + -4 + 2.\nAnswer: -2 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -1010001101?\nAnswer: 1010010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3)*(a - 6*a + 4*a) + (-1 + 1 - 6)*(a + 2*a - a).\nAnswer: -10*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 16*b + 387. What are the prime factors of a(0)?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -2c64c86?\nAnswer: 2c64c8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-64)\/(-96)*(-6)\/9\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0078403 rounded to five dps?\nAnswer: 0.00784","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2, 1\/2, -3, -10\/3, 0.2, 0.24?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 6*d**2 + 3*d - 10. Let q be z(5). Suppose 35 = b - q. Calculate the highest common factor of 26 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215007095 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-21)\/6 + 5 - (-707)\/2. What is the second derivative of 355*q**2 - s*q**2 + 19*q + 9*q**3 wrt q?\nAnswer: 54*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 - 4.98\nAnswer: -17.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = -m + 99841. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -72 + 115. Let y = 43.0019 - c. Round y to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of q**7\/70 - q**6\/30 + 3*q**3\/2 + 8*q. Let i(n) be the second derivative of m(n). Find the third derivative of i(k) wrt k.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1487.11 rounded to the nearest 10?\nAnswer: 1490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of -5*b**3\/6 + 8*b**2 - b. Suppose -f - 6 = 5*d + 30, 4 = -4*f. Is 17 a factor of m(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 274, -151, -576, -1001?\nAnswer: -1426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.2, -8\/7, 22, 2, 10, -3 in decreasing order.\nAnswer: 22, 10, 4, 2, 0.2, -8\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 3*r + 538991, 5*b + 0*r = -r - 539003. Round b to the nearest 1000.\nAnswer: -108000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1150.857 rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/6 of a year?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oxookxokookkksokx. What is prob of sequence sx?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 9\/8 (c) 2\/3 (d) -4 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84836 and 508.\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 7. Let q(d) = 4*d - u*d + 6*d + d. Let f(a) be the second derivative of -a**4\/4 - 32*a + 3. Determine f(q(w)).\nAnswer: -108*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0966 - -166.\nAnswer: 165.9034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 8:11 AM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 36*d. Let x(m) = m - 1. Suppose -17 = -3*b - 5*h, -b = -4*b + h - 7. Let t(s) = s**2 + 3*s - 3. Let z(u) = b*t(u) + 3*x(u). What is l(z(a))?\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 13129 = 4*i - 3*i, 3*q - 5*i - 19683 = 0. Does 67 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17949377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, f: 3, n: 1, q: 1}. Give prob of sequence nfi.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - r**2. Let l(u) = -5*u**2 - 1982*u**3 + 1 + 1986*u**3 + 3*u**2. What is 2*g(d) - l(d)?\nAnswer: -2*d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 212182\/8629 <= 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147 = -3*v - 54, 4*a - 4*v + 3015 = 2911 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19374?\nAnswer: 2, 3, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 8*l**2 + 11*l - 6. What is r(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 290685?\nAnswer: 3, 5, 19379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1754253*l**5 + 179*l**2 + 401533242*l.\nAnswer: 35085060*l**3 + 358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12 + (-3)\/6*6. Let s = 25 - n. Calculate the lowest common multiple of s and 14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 5*z + 2*z + 2 - 3. Let k(g) be the second derivative of -2*g**3\/3 + g**2\/2 - 2*g. Let t = 18 + -23. What is t*k(d) - 3*n(d)?\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -3) + -8 + 3 + 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 93 = 6*i + 9*z - 6*z, -10*z + 34*z + 684 = 5*z for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 21870, 0.1, 10.66?\nAnswer: 10.66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from ajcaa?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g - 5*g + 0*g + 73369 + 73370 - 146739.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2 - 6250628*m + 6250627.\nAnswer: (m - 6250627)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-5 - -3 - -4). Which is the third biggest value? (a) -5\/4 (b) t (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d. Let p be o(2). Suppose 3*n = p*k + 6 + 43, -4*n - 2*k + 42 = 0. Let r(w) = 23*w**2 - w - 1. What is the remainder when r(-1) is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 - 31. Suppose 25 = -m*q, 9*y + q - 5 = 4*y. What is the second derivative of -7*v - 3*v**y + 19*v + 3*v + 17*v wrt v?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 62*x**2 - 68*x + 139. Calculate the remainder when q(2) is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57 and 489579?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 3*a**2 - 29*a + 1. Let p(k) = k**3 - k**2 - 3*k + 10. Let h be p(0). What is the tens digit of r(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46613911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 24*q + 103. Give a(17).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1898 is divided by 100.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 300 = 5*c - 0*d, -2*c + 4*d = -94. Let f = 76 - c. What is the second derivative of -11*q**4 + 18*q - 4*q**4 - f*q + 30*q wrt q?\nAnswer: -180*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 588, 2494, 5670, 10116, 15832, 22818?\nAnswer: 31074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3933 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8231*z + 980*z**2 - 24558*z + 8232*z + 8095*z.\nAnswer: 980*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by 42.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1148, 1146, 1144, 1142?\n\"Answer: -2*f + 1150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrfrffffff. Give prob of picking 1 r and 2 f.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19748683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -2*i - 4*g - 405 + 411, -9*i - 7*g = -42 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2 + 510256*d - 2374107*d - 2.\nAnswer: -1863851*d - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.11 + -0.11. Let o = y + -3. Let q = 2 - o. Which is smaller: q or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 2*g + 16, 2*x + x = 5*g + 16 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110030 is divided by 68.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5960 - -13416. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21 - 12) + 21 + -6.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 + 3 - 3)*(0 + 0 + 2) - 2285*m**2 + 4574*m**2 - 280 - 2292*m**2.\nAnswer: -m**2 - 280","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 5*s**5 - 290*s**4 - 2155*s**3 + 15460*s**2 - 27100*s + 14080 = 0.\nAnswer: -11, 1, 2, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 7 - 3 = 0. Let g be (1 + -55)\/(h\/1). Let a = 45 - g. Solve -c + 7 = -4*q + a, -3*c + 6 = q for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/378 and 163\/21384.\nAnswer: 149688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 5*h - 12. Let v be w(9). Let y be (-87)\/29 + (0 - -267). Calculate the greatest common divisor of y and v.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/66 and 107\/822.\nAnswer: 9042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + -20 + (-3 - -2). Let h(f) = -4*f**3 + 4*f**2 - 2*f - 1. Let l be h(2). Let i = b - l. Is i greater than or equal to -4\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -27 at most -205\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-85))\/(45\/30)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 54 - 54. Put -5, -16, l, 5 in decreasing order.\nAnswer: 5, l, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 384559 a multiple of 215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8255 is divided by 920.\nAnswer: 895","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4*i - 13 = 0, 4*c - 3*i + 2*i - 13 = 0. Let x = 1314 - 2040. Let q = 5094\/7 + x. Which is smaller: q or c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*m**3 + 18*m**2*o - 2*m*o - 983*o + 5 wrt m.\nAnswer: -6*m**2 + 36*m*o - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 834 - 789. Suppose -13 = -4*w + 23. Suppose w*a + 0*a - f = 0. Solve -9 - 6 = a*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*r**3 - r - 5*r - 20*r**3 - 36*r**3 - 18*r**3.\nAnswer: -158*r**3 - 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -8*t + 246. Let k(s) = -4*s - 134. Let a be k(-41). Let p be l(a). Solve 0 = p*y - 4*y + 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30\/373 - 372790\/2611. Let n(g) = -2*g**2 + 40*g - 340. Let b be n(8). Let f = b - d. Which is bigger: f or -6?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.3 less than 158510181?\nAnswer: 158510175.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -aa5 (base 15) in base 7?\nAnswer: -10004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - a + 29, 0 = -3*p + 6*p + a + 27. Let c be (1 + -6 - p) + -14. Let y = -0.1 - 0. What is the third smallest value in c, -5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (77*d**4 - 165*d**2 + 81*d**4 - 154*d**4)*(1 + 1 - 4) to the form h + v*d**3 + b*d**2 + x*d**4 + f*d and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-6*sqrt(32))**2 + (0 + sqrt(4)\/sqrt(2))**2 + ((2 + sqrt(2))*5)**2.\nAnswer: 100*sqrt(2) + 1299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**3\/4 - 125*s**2\/4 + 32*s + 63 = 0. Calculate s.\nAnswer: -126, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 32946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (334686\/40568)\/(1\/((-16)\/6)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/2 (b) -107 (c) -5 (d) 237 (e) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5983853 to the nearest integer?\nAnswer: 2446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -22*1\/(-2) - 2. Suppose -m - d = -4*m. Suppose -3*q - 8 = -v, -m*v + 5 - 2 = -2*q. Which is bigger: v or 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11.7 + 6.7. What is the second smallest value in 0.7, u, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -5*w + 6. List the prime factors of 65\/7 - w\/7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - (-4)\/((-4)\/(-3)). Suppose 3*d + l*g = 54 + 43, g = 2. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 r, and 1 f when three letters picked without replacement from jjccjjprfr.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13002 + -12700. What is the remainder when j is divided by 150?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -109.7 (b) -0.3 (c) -0.2 (d) 5.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkm when three letters picked without replacement from mkmkmmmmmmmmmkmm.\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -181*t**2 + 33170*t - 41490. Give n(182).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1617 not equal to -219\/50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1480 or 3910?\nAnswer: 1480","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 181 + 19*p - 181 + (0*p + p + 0*p)*(2 - 6 + 2) + p + p - p + 4*p - 3*p + p + 3*p + 1 - 1 to b + n*p and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 46, 30, -22, -122, -282, -514?\nAnswer: -830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17551.86443 + 17552. What is z rounded to 3 dps?\nAnswer: 0.136","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -156*k + 151*k. What are the prime factors of (-12)\/k + (-486)\/(-4)?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 477.637 + -480. Let i = 0.363 + u. Are 51 and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*s + 1023 - 981 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 41004836089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011 + -10000101010100?\nAnswer: -10000101011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 64974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 515 and 2411951.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 507? (a) 0 (b) -9931 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288)*-1 + 2 - (-1 + sqrt(288) + 4 + sqrt(288) + sqrt(288))) + 2)**2.\nAnswer: -96*sqrt(2) + 4609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 >= -72\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -10*q + 5. Let c(t) = -5*t + 2. Determine -2*a(l) + 5*c(l).\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.1 (b) 157.58 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14742 <= 14837?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 18613*u**2 - 36*u + 36. Is f(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -58*p + 467. Let f be h(8). Let d = 505\/4 + -127. Which is the nearest to f? (a) 5 (b) -2\/13 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 8 = u. Let h be (27 + -1 - 4)*2\/u. Calculate the highest common factor of h and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -155 - -148.89. Let v = -6.1099751 - i. What is v rounded to six dps?\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19893762 and 3402?\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of u**6\/360 + u**5\/12 - 25*u**4\/24 + 30*u**3 - 204*u**2. Let c(j) be the first derivative of z(j). Calculate c(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of j**6\/480 + j**5\/15 + 23*j**4\/32 + 15*j**3\/4 - 1656*j**2 - 2*j. Solve u(h) = 0 for h.\nAnswer: -10, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**2 - n**4 - 2*n**2 - n**4 - 11*n**3 + 11*n**3 + n**4 + (2 + 1 - 5)*(0*n**4 - n**4 - n**4).\nAnswer: 3*n**4 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -44 + 39. Is 46 a factor of v - (1 + -3 - 279)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 308 (base 12) in base 6?\nAnswer: 2012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 7*i**2 + 15*i - 380. List the prime factors of j(-27).\nAnswer: 2, 17, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1771389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.53043 and 2.9.\nAnswer: -1.538247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47505319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of h**7\/42 - h**5\/10 - 103*h**4\/6 + 2107*h**3\/6 + h**2\/2 - 469*h - 12. What is the second derivative of u(t) wrt t?\nAnswer: 20*t**3 - 12*t - 412","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/2 of a week?\nAnswer: 35280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1898 + 1902. Solve 12 = p*s + 28 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*v = -141*v - 309 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30a49b9 (base 12) to base 3.\nAnswer: -122021001220020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -61 + 105. Suppose -4*a + 4 = -w. Calculate the least common multiple of 22 and a.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42 and 1022.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.4 (b) 3\/7 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 283 a factor of 5109235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 4. Let d = -7 - n. Which is the second biggest value? (a) d (b) 0 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a tonne in kilograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (25 - -7) + -27 + 8 + 33 + -2?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38653, 38655, 38657, 38659, 38661?\nAnswer: 38663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 = 4*f + 102 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3726 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 102313 (base 5) in base 16?\nAnswer: d82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -176, -3, -601.\nAnswer: -601, -176, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -197\/513 - -8\/19. Is 1 bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 152 = -148 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 118\/(-885)*(33\/55)\/((-14)\/(-10))\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1821 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -63169 (base 11) in base 3?\nAnswer: -11200020201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 155307319 divided by -5?\nAnswer: -155307319\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13346?\nAnswer: 2, 6673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -546, -456, -368, -282?\n\"Answer: -q**2 + 93*q - 638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 189*g + 1871. Give l(-10).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1762489 and 4359?\nAnswer: 1453","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 4*n + 321*h - 317*h, 4*n + h = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -670, -682, -700, -724, -754?\nAnswer: -790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 0 + 0 + -4 - 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -0.5 (c) 135 (d) -4\/5 (e) -44\/25 (f) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42205 + -42204.963963. What is t rounded to four decimal places?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.01234 milliseconds in microseconds?\nAnswer: 44012.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 18*c**2 + 96*c + 44. Let t be n(17). Calculate the highest common factor of 589 and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 308 and 132412.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3173 + 0.0427. Which is smaller: -4 or u?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -90, -132, -174?\nAnswer: -216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 5, 0, -4, -0.1, 0.3, 7.83753?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38\/(-209) + (0 - 0).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -1, -13 in decreasing order.\nAnswer: 1\/3, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 times -1266748\nAnswer: 1393422.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/10023740 and 137\/12028488.\nAnswer: 60142440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64623059?\nAnswer: 53, 1219303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.289 - 58.711. Let u = n + 57. Which is the nearest to u? (a) -2\/13 (b) 5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 367?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 54*t**3\/5 - 888*t**2\/5 - 534*t\/5 + 408\/5.\nAnswer: 6*(t - 17)*(t + 1)*(9*t - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**4 - q**2 + q**2 + (3*q + 1375*q**2 + q - 4*q + 1529*q**2)*(3*q**2 - 23 + 23).\nAnswer: 8710*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide (-29 - -81)\/(4\/34)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1329 - 0?\nAnswer: 1329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 144\/27 + 9\/(-27)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s + 11. Let x(c) = -c**3 + 6*c**2 - 7*c + 5. Let b be x(4). Let f be y(b). Solve 2*k - 30 = -5*w, 3*w + 21 = 5*k + f*w for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**6*l - h**4*l - 70*h**4 - h**2*l - 14*h**2 wrt h?\nAnswer: -120*h**3*l - 24*h*l - 1680*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 7*n**2 - 9 + n)*(-6*n**2 + 0*n**2 + 3*n**2) + 7*n**4 + 1 + 150*n**4 - 3*n**4.\nAnswer: 175*n**4 - 3*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 823762.3ng to micrograms.\nAnswer: 823.7623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that o**3\/2 - 1897*o**2\/2 + 931931*o\/2 - 30336635\/2 = 0.\nAnswer: 35, 931","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**3 - 19*f**2 - 19*f - 97. Let i be b(-9). Let a(k) = -k**2 - 19*k - 69. Determine a(i).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 5*v + 4. Let u be w(6). Suppose 4*t - 42 = -u. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 480 and 4656?\nAnswer: 46560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.06 (b) 4 (c) 5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 + 128*q - 3669. Give c(44).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 + 27. Suppose -o = -2*v + 8, 5*v - c = -0*v + o. Let p be (-46)\/(-14) + v\/(-7). Solve -p*i = -i + 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 952 and 392920?\nAnswer: 46757480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 8:40 PM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d79 - 11ea?\nAnswer: -371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of -2*x**2 + 27*x - 103. Calculate the lowest common multiple of 10 - (-2)\/(-4 + 2) and i(5).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1362131?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -5*z**2 + 5*z + 12. Give g(5).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 15.6 times -0.25\nAnswer: -3.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1237*o - 555392 + 555392)*(o**3 + o**3 + o**3).\nAnswer: 3711*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -252*o**3\/5 + 114*o**2 - 12*o\/5 - 48 = 0?\nAnswer: -4\/7, 5\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -1\/4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dxux when four letters picked without replacement from vvducxdddxvcccxvdc.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -302 = -6*o - 98. What is the remainder when 577 is divided by o?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in fourty-five quarters of a second?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/(-40)*(-1 - 7). Let w be ((3 + 11)\/2 - j) + -1. Suppose w*x = -x. Solve p + 3 - 8 = x for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 33*w. Let g be r(1). Suppose 0 = 3*z - 2*d + d - 65, -5*z + 4*d = -106. Calculate the greatest common divisor of g and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 262 - 622. Let u = v - -573. Is 27 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 193.\nAnswer: 2\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -114007 - -11962423\/105. Let w be (-1)\/(-4) + 3186\/(-40). Let v = s - w. Calculate the common denominator of v and 143\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4 + (sqrt(396)\/(sqrt(36)\/sqrt(36)))\/(-2*-1*sqrt(4)*-5)).\nAnswer: -4 - 3*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 2*n - 3*n + 27, 0 = -2*k - 10. Suppose l + 2*d - 7 + 3 = 0, 3 = n*l + 3*d. Let j(x) = 1763*x + x**2 - 881*x + 3 - 876*x. Calculate j(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -41 - -2?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + s = 8 + 4, -2*s - 9 = 3*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2837, 5592, 8333, 11054, 13749?\n\"Answer: -s**3 - s**2 + 2765*s + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 + 30.13. Let x = -0.04 - j. Let r = x + -0.83. Which is bigger: 1\/5 or r?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -466*a**2 + 23*a - 9. Determine h(1).\nAnswer: -452","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 54227159369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6577 = 51*s - 1180 - 3102 for s.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/80 - (-90)\/(-150).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -5, -3\/8, 5\/3, -0.1, 12?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1884 and 52032.\nAnswer: 8169024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21995\/(-2075) + (6\/15 - 96\/(-10)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*n)*(1 + 2 + 3).\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 14611, 27222, 39833?\n\"Answer: 12611*j + 2000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 140851355?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 + -31.48. Let z = 9053 - 9052.4767. Let p = w - z. Round p to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -o**4\/4 - 4*o**3\/3 - 5*o**2\/2 - 4*o + 24. Let z be c(-3). Solve z = 2*w - 4 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of 0 + 0*t**5 - 1\/24*t**4 + 0*t**3 + 2*t**2 + 0*t + 0*t**6 - 1\/105*t**7. Find the second derivative of y(c) wrt c.\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.836838 minutes in milliseconds?\nAnswer: 590210.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k - 14*k + u - 64, 2*k + 17 - 27 = 2*u - 18 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + -0.0290477207\nAnswer: -0.5290477207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -537 times -38.2019\nAnswer: 20514.4203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**4 + h**4 + 2*h**4 + (-50*h**2 + 50*h**2 - 69*h**4)*(-2 + 1 - 1).\nAnswer: 144*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7840 - -160. Round k to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1015 (b) -6 (c) -1\/5 (d) 3\/4 (e) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*p - 2, 2*o + 4*p = 90. Let h = 22 + 69. What is the remainder when h is divided by o?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25125712.\nAnswer: 2, 1570357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006171111 to 4 dps.\nAnswer: -0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 796 + 2494 = -5*f, 3*l + 4*f = 1981. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**2 - 5*y - 2. Let f be j(5). Suppose 4*l - h = f, 2*l - 8 = l - 2*h. Let o be (3\/l)\/(2\/48). What is the greatest common divisor of 12 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 4. Let s(k) = 4*k + 2*k**o + 3 + 0*k**2 - k**2. Let t be -2*5*5\/25. Determine s(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of k**5\/80 + 2713*k**4\/16 + 7360369*k**3\/8 - 476*k**2 - 2*k + 1. Factor n(r).\nAnswer: 3*(r + 2713)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23467 divided by -757\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rcolo. What is prob of picking 2 o, 1 l, and 1 c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -5)\/((-2)\/(-14)) - 2431\/(-351).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + j + 2. Let k(s) = s**2 + 4*s - 5. Suppose q = -1 - 3. Let u be k(q). Does 10 divide x(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1166172, -4664684, -10495538, -18658734, -29154272?\n\"Answer: -1166171*u**2 + u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(1300) + sqrt(13) + 2.\nAnswer: 2 + 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -5510*t - 80. Let i(y) = 1837*y + 25. Let z(q) = -5*c(q) - 16*i(q). Let s(g) = 2*g. What is z(s(n))?\nAnswer: -3684*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of i**6\/180 - i**5\/20 + i**4\/6 - i**3\/2 - 4*i. Let p(w) be the second derivative of t(w). Let p(v) = 0. What is v?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -111966125 + -26.268.\nAnswer: -111966151.268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - m - 28 = o, -3*m = 5*o + 42. Let g = -6 - o. Suppose 5*f - 13 = -5*r + 2, -3*f + 4*r - 26 = g. Which is greater: f or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 3*v - 6. Let i(l) = 3*l - 22. Let k be i(9). Let x be s(k). Suppose 142 = x*h - 198. List the prime factors of h.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9223*c**3 - 140*c**2*j**3 - 533*c*j**3 + 1014*c*j wrt c?\nAnswer: -55338*c - 280*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 450 and 670.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a decade in years?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1043 - 10?\nAnswer: 1033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7617?\nAnswer: 3, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4620.955ng in tonnes?\nAnswer: 0.000000000004620955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 + 32 = 5*h. Calculate the remainder when 52 is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14559 is divided by 260?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -545 + 549. Suppose 2*k - i - 225 = 0, -f*k + i + 337 = -k. Does 16 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, z: 1, o: 2, m: 1, c: 5, k: 2}. What is prob of sequence km?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -3, 30, 99, 216, 393, 642?\nAnswer: 975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 525 + 4236033?\nAnswer: 4236560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 22*m**5 + 29*m**4 - 455*m**3 - 1049*m**2 - 727*m - 140 = 0.\nAnswer: -4, -1, -7\/22, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (84 + 193039\/(-2277))\/(5\/6).\nAnswer: -14\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/(-40) - (-1)\/8?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -893, -928, -955, -974, -985, -988?\n\"Answer: 4*x**2 - 47*x - 850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -386 - -3853?\nAnswer: 3489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ag when two letters picked without replacement from {y: 4, a: 1, g: 3, u: 5, x: 6, l: 1}?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -36448186.5 rounded to the nearest 100000?\nAnswer: -36400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**4)\/p)\/(p*p\/(p\/((p*p**(25\/6)\/p*p)\/p))*p*p) assuming p is positive.\nAnswer: p**(-19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24228?\nAnswer: 2, 3, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -228, 3\/5, -0.2, -2\/3, -1\/15, -1\/4?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - 1 - (-32 - 0). Suppose 32 = 5*t + 2*l, 5*t + 5*l = 2*l + h. Let j = t + -4. Solve -3*k = k - 2*y - 4, -18 = -j*k - 3*y for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 319336461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from vevvvvvevvevev?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6606510 to the power of 1\/2, to the nearest integer?\nAnswer: 2570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(1\/6))\/(x*x**(2\/21)))\/(x**(2\/3))**24)\/((x\/x**5*x**(-5))\/((x*x*x**(-3\/10)*x)\/(x\/x**(2\/3)))) assuming x is positive.\nAnswer: x**(-514\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -354, -1407, -3154, -5589, -8706, -12499?\nAnswer: -16962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -102*m - 181. What are the prime factors of x(-5)?\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18372831 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 - 6. Let l = 28 - k. Factor l*c**3 + 34\/3*c**4 + 22\/3*c**2 + 0 + 4\/3*c + 10\/3*c**5.\nAnswer: 2*c*(c + 1)**3*(5*c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4992 and 5837.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 374396 to the power of 1\/3, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2052 divided by -6\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 36*l**2 - 54*l + 455. Let t be g(37). Sort -0.2, t, -0.3, -4\/7.\nAnswer: t, -4\/7, -0.3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0.72, 0.01, 2\/7, 4, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + f. Let m = 86 - 85. Let g(i) = -7*i**2 + 5*i - 1. Let z(s) = m*g(s) - 3*j(s). What is the second derivative of z(o) wrt o?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0, -25, 4, -11 in increasing order.\nAnswer: -25, -11, 0, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + 1)\/(0 + 4). Let q(s) = s + 6. Let x be q(-5). Let j = 2\/3 - x. What is the nearest to j in 1\/2, l, -0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-161 - -15) + 104 - 18.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.46 and -2.77.\nAnswer: 1.2742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*1 - 120\/(-54). Let o be (5\/(5\/2))\/1. Factor 2\/9*z**3 + 0 - 2\/9*z + j*z**o - 2\/9*z**4.\nAnswer: -2*z*(z - 1)**2*(z + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p. Let i(b) = 376120*b + 1. What is h(i(o))?\nAnswer: 752240*o + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uvyruvs. What is prob of sequence ysru?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b**2 - 2. Suppose -5*w - 27 - 8 = -3*i, 18 = -2*w + 2*i. Let h(o) = 7*o**2 + 3. Let d(q) = -2*q - 102. Let s be d(-46). Determine s*u(g) + w*h(g).\nAnswer: 2*g**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6 times -631376.45?\nAnswer: 1010202.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 396.07 to 0 decimal places.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 + -1721?\nAnswer: -1681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255078646?\nAnswer: 2, 4969, 25667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42 - 29. Suppose -5*a + 241 = -y, a = 2*a + 4*y - 65. What is the remainder when a is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38 + 32. Let b(z) = -23*z - 7. What are the prime factors of b(y)?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**2 - 2*u**2 + 2*u**2 + (0*u - u - 8*u)*(-4 + 4*u + 4).\nAnswer: -35*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*k + 140 + 489 = -309 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 333982477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1648 + 6493\/4. Let h be 1595\/(-2128) + (-9)\/(-12). Let y = 132997\/6384 + h. Calculate the common denominator of x and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 250640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 199388032 divided by -108128?\nAnswer: -1844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1527 to two dps.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 198? (a) 4 (b) 3\/8 (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2361 or -10\/29?\nAnswer: -10\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -627 + -658. Let h = k - -1307. Suppose -3*a + 8*a = 80. Solve a = 4*z - 2*i - 6, -z - 5*i = h for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 6*g**2 - 7*g. What is the remainder when l(-6) is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 0.6. Suppose -3*v = -5*o + 51, 2*o + 2*v - 6*v - 26 = 0. Suppose -c - 27 + 16 = 4*j, 2*j + o = 3*c. What is the biggest value in c, -1, l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = p - 2*b, -3*p - 5 = -85*b + 87*b for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 78268 and 165744.\nAnswer: 2817648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -224686*l**3*u**5 - 3*l**3*u**2 + 58*l**3*u + 9*l**2*u - 151*l*u wrt u.\nAnswer: -4493720*l**3*u**3 - 6*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*j**3 + (0*j**3 + 16*j**3 - 3*j**3)*(-54 + 0 - 45))*(5*j - 3*j - j).\nAnswer: -1285*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 4*z + 5, 0 = -4*z - 2*i - 4 - 6. What is the first derivative of a + 2*a + z + 1 - 4 wrt a?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, t: 1, s: 1, f: 2}. Give prob of sequence tn.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, q: 9}. Give prob of picking 3 q.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**3 + 3*n**2 + n - 2. Let q(f) = -181362*f**3 - 15*f**2 + 362738*f**3 - 6*f - 181366*f**3 + 11. Calculate -2*q(j) - 11*v(j).\nAnswer: 2*j**3 - 3*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1691217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/15*(-375)\/2. Suppose -i + z = 4*i. Which is greater: 24 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -11 - (-9 + -13 + 18)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 201407263?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 0.155096 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1221 and 333.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 5 (b) 323 (c) 0 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -10. Let f = -87 - -77. Does 6 divide (-84)\/f - s\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -59 - -96. Let s be (53 - (2 - 6))*1. Calculate the remainder when q is divided by (-1)\/(-3*1\/s).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ubgubggunbgnbnngbnbw. Give prob of sequence bg.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/23, 0.2, -0.1, 2, 1258?\nAnswer: 1258","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -1 (b) 0.21 (c) 0.4 (d) 0.08 (e) 0.01 (f) -0.2 (g) 2\/35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2110.1 + 2110. Which is greater: u or -10.52?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -7, 2, -200 in decreasing order.\nAnswer: 2, 1, -7, -200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1965017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -22, -1, -105.\nAnswer: -105, -22, -16, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u + 1. Suppose 42*q = 46*q + 8. Let w(v) = -v - 1. Give q*w(g) - 2*n(g).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuucducduccucucuuuu. What is prob of picking 2 d and 1 c?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4092b (base 15) to base 10\nAnswer: -204566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 7*u**2 + 5*u - 3. Let m be n(-6). Suppose -4*r + 39 = -3*o, 4*r - m*o - 34 = -o. Suppose r = -y + 3*y. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 6*x = 224, 0 = 2*u + 5*x - 114 + 230 for u.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 12:03 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -329606.3 to the nearest 1000.\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*i + 42*i + 16*i + 17*i.\nAnswer: 24*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = 2*h + 6, y + 2 = -6312*h + 6311*h for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 392 and -53.718346.\nAnswer: 338.281654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/29*(-39382)\/2037?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42) + sqrt(252)\/sqrt(6)*6 + sqrt(2058)*-2)\/(((sqrt(726) + sqrt(726)*-1)*2 - sqrt(726)) + (6*(1*sqrt(726) - sqrt(726)) - sqrt(726))).\nAnswer: 7*sqrt(7)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mssmsss. What is prob of sequence ss?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, e: 6, s: 9, d: 1}. What is prob of sequence es?\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225 is divided by 77.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/3*49\/(-98).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*m - j = -231, -5*m - 5*j - 162 + 197 = 0 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/86392 and -89\/20?\nAnswer: 431960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 - 3)*(3 + 0 - 1)*(2 - 1 + 1)*(0*v**2 - 8*v**2 - 8*v**2) as c + w*v**2 + p*v and give w.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.08 and 25.\nAnswer: 23.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of 3*s**2\/2 - 5*s + 7. List the prime factors of j(15).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 455*p**2 + 31*p**3 - 455*p**2 + 2*p**3 - 29*p**3.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.988 * 1.3\nAnswer: 1.2844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -822 + 846. Sort j, 2, 0, 4 in ascending order.\nAnswer: 0, 2, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2 = 5*p, -20*p - f = -23*p + 11. Sort -3, -2, p, 8, -31.\nAnswer: -31, -3, -2, p, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 4. Suppose 5*l - 5 = z, 3*k + 3*l - 2*l - 7 = 0. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r - 16. Let y be w(7). Let o = -240 + 157. Let c = o + 83. Sort 4, y, c in ascending order.\nAnswer: y, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17783, 34889, 51995, 69101, 86207, 103313?\nAnswer: 120419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 199\/28 + -48\/7. Let k(x) be the second derivative of -j*x**4 + 2\/3*x**3 - 3\/2*x**2 - 2*x + 0. Give k(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -4356083.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-182 - -183 - (1 + -17)) + -3.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 1578*s - 45. Let x(b) = -3156*b + 103. What is -7*d(o) - 3*x(o)?\nAnswer: -1578*o + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0446 - 0.1446. Which is the third biggest value? (a) -3\/2 (b) -16\/7 (c) -1\/3 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1 - 2)*-1 - 1961\/370 and (-4)\/24*(-267)\/(-11).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16.5 + -17. Let i = -7 - -12. Which is the closest to -0.1? (a) v (b) -2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.48 + 0.4?\nAnswer: -10.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 61*c - 237. Let u be k(4). Solve 0 = -3*s - 15, 3*j + s + 0*s = u for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s + 11*s - 6*s - 2*s as w*s + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 21, 34, 47, 60, 73?\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-25)*s**(-46) assuming s is positive.\nAnswer: s**(-71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 391607?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - 9\/(27\/(-15)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 6*m - 6*m = 2*m + 177 - 151, -27*a - 203 = 5*m for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 0 + (-4 - -4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 17*o**2 + 2. Let r be -4 + (-279)\/(-39) - 4\/26. Is j(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -601*t + 26. Let o be d(-1). Let s = o + -628. Sort -0.14, s, 4 in ascending order.\nAnswer: s, -0.14, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -1252*p**2. Let h(z) = -42*z + 3. Let d(g) = -111*g + 8. Let l(v) = 3*d(v) - 8*h(v). Calculate s(l(o)).\nAnswer: -11268*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 4*y - 8. Let d be r(2). Let c(u) = 10 - u + 2 - 1 - 2. Calculate c(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of 239*v**6\/15 - 693*v**2\/2 + 4*v - 142. Find the first derivative of x(a) wrt a.\nAnswer: 1912*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1210002 - -21?\nAnswer: -1202211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 165 and 29997?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-925)\/(-55) + (-2)\/(-11) is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 3:58 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 46.881 (b) 4 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -10562.75 to the nearest one hundred.\nAnswer: -10600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 9*n + 4647 = 4625, -d - 7 = 4*n for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -509\/2 + 260. Let i be (-2)\/1 + 4 + 164. What is the common denominator of n and i\/(-48)*3\/1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 80, 666, 1644, 3014, 4776, 6930?\n\"Answer: 196*g**2 - 2*g - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 b when two letters picked without replacement from {p: 1, b: 1, h: 5, a: 4}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12712 by -6.\nAnswer: -6356\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -4*i**3 - i**2 + 2*i. Suppose 0 = 2*c - 3*c - 2. Let m be k(c). Suppose -s = 3*s - m. Calculate the remainder when 16 is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 6 = -3. Suppose -m + 0*m = 4*t + 11, -23 = -3*m + 2*t. What is the remainder when m is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.2, 4, 1\/85 in decreasing order.\nAnswer: 4, 2, 0.2, 1\/85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 177+1.41226\nAnswer: 178.41226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -3*n + 5*n + 4*p, 6 = 2*p. Let r(h) = 11*h + 2. What is the tens digit of r(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416973106102 - -151?\nAnswer: 416973106253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/56 - (-8)\/(-96)*-3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n = -29*n + 10*n. Which is the nearest to n? (a) -7 (b) 0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 2*f**2 + 2*f + 4. Let s be d(0). Let q(b) = b - 2. Let t(u) = -5*u + 8. Calculate s*t(r) + 18*q(r).\nAnswer: -2*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + h. Let v = 33 - 32. Let y be k(v). Suppose 2*q - 3 - 11 = y. Which is greater: -2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100271599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.986211 weeks in minutes?\nAnswer: 50261.00688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (36\/42)\/((-1)\/(-7)). Suppose -3*k - m = -2, -k - x = m + m. Which is the closest to 0? (a) 0.2 (b) k (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -3*o**4 + 652*o**3 - 14182*o**2 - 2595628*o + 866761 = 0.\nAnswer: -49, 1\/3, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 16 = 2*s - s, w = 2. Suppose -3*z - s = 2*i - z, -z = 5*i + 5. Find the third derivative of -2*l**6 + i*l**6 - l**2 - 2*l**2 wrt l.\nAnswer: -240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 4, m: 1, d: 5, x: 5}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 605 = 11*t - 0*t. Does 38 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 3 + -1 + (-39)\/33. Which is the biggest value? (a) -4 (b) 0.4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -192*q**4 + 9057*q**3 + 6*q**2 - 43375848*q.\nAnswer: -2304*q**2 + 54342*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 - -29. Suppose -s*p - 45 = -12*p. Find x such that 6 + 4 - 45*x - 5 + 5 + p*x**2 + 70*x**3 = 0.\nAnswer: -1, 2\/7, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 - -12. Suppose m - 4 - 1 = 4*g, -6 = -3*g + 4*m. Sort 2\/63, g, k in descending order.\nAnswer: 2\/63, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 12) to base 3\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7961 and 984523?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/1090411 or 0?\nAnswer: 2\/1090411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -y + 37. Solve -7*q + 16 = -3*q, 5*r - y = -3*q for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 4*a = 4*g + 950, 0 = -4*g + 53 - 37. Let w = 98 - 70. Calculate the greatest common factor of w and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -227, -1379, -4517, -10655, -20807, -35987, -57209, -85487?\nAnswer: -121835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 90.97074 decades?\nAnswer: 9.097074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 840 and 3010.\nAnswer: 36120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/220)\/(2709\/1419)\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13325 (base 11) in base 6?\nAnswer: 224024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000032163127 rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1365)\/84*6*12\/(-90)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*z = 0. Let o = 4 - z. Let x(h) = -h**2 + 10*h - 3. What is the tens digit of x(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7 + -3*5\/15. Suppose -5*v + 26 = -4*v - 5*z, -v + z = -y. Put 2, 6, -3, v in decreasing order.\nAnswer: 6, 2, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*p - 17*p - 9*p)*(-4 + 2 + 17*p**2 + 15*p**2).\nAnswer: -2048*p**3 + 128*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1130 + 3442\/3. Suppose -10 - 109 = -7*t. Which is bigger: t or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.14 + -13.14. Let w = 10 + a. Let z = -153\/406 - 3\/58. What is the third smallest value in 5, z, w?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 797*i - 130*i + 119*i - i**2 + 554*i + 3*i**2.\nAnswer: 2*i*(i + 670)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 8, 1, 3 in ascending order.\nAnswer: 1, 3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1012 * -0.03.\nAnswer: -30.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, t: 7, i: 1}. What is prob of sequence tiv?\nAnswer: 35\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12013)\/(-3809) - 3*(-1)\/(-1)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 6) to base 12\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-36)\/(-17) + 0 + -2. Suppose 3*i + 21 = -u + 5, 0 = 2*u - 3*i - 4. Suppose 0 = 3*z + 1 - 1. Which is the biggest value? (a) n (b) z (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 19 + 1. Let l = b + 9. Suppose r + 65 = l*r - 5*o, o + 65 = 3*r. What is the greatest common factor of r and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxoxqqxoqxppoxhoxxxq. What is prob of sequence xpoq?\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 229196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -27 in 0.1, -2, -2\/15?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4\/5)*p*p)\/p*p*p**(1\/9)*p**(5\/3)\/p*p**(-2\/3)*(p**(-2\/13)\/(p*p\/p**(-1\/14)))**(-22\/7) assuming p is positive.\nAnswer: p**(238058\/28665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12212994?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2157*q + 12656. What is b(-6)?\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j + 1. Let q(y) = -2*y + 2. Let f(b) = 2*q(b) - 3*u(b). Let v be f(8). Let t be (-18)\/(-8) + v\/28. Solve t*l - 12 = -l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -131366 + -46?\nAnswer: -131445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 99 + 33\/2*r**2 + 12*r**3 - 18*r - 15\/4*r**4. Factor l(q).\nAnswer: -3*(q - 3)*(q + 1)*(5*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + o + o + 18, 2*o = r. Let v be ((-10)\/(-3))\/((-4)\/r). Suppose v*c = 4*x - x - 190, 3*x = c + 170. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -890438, -890455, -890498, -890579, -890710, -890903, -891170?\n\"Answer: -2*f**3 - f**2 - 890435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26d1 (base 14) to base 16.\nAnswer: 1abf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + 1 - (-6)\/1. Suppose 0*n + 5*n + 10 = 0, -n = -a*z + 52. What is the lowest common multiple of 8 and z?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40 - 45) + -10 - (-8 - 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 697183 to the nearest integer?\nAnswer: 835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -90 - -153. Suppose -5*y + 19 = -2*w + 51, 4*y + o = 5*w. Suppose 10*g + 55 = w*g. Calculate the highest common divisor of 5 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3452*g - 3043. Let h(f) = -3448*f + 3041. Let a(k) = 5*h(k) + 6*r(k). What is the first derivative of a(j) wrt j?\nAnswer: 3472","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 670 - -525. What are the prime factors of m?\nAnswer: 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 70 = -4*u. Let f(i) = i**2 + 15*i + 3. Let d be f(u). Let y = 0 + 0. Solve y*q = d*q + 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 2400\/51443 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5*f + 21 = 0, 2 = 20*f - 21*f. Calculate the common denominator of z and -8\/29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/1240299 and -14\/11?\nAnswer: 13643289","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = o + o + p, 0 = o - 4*p - 33. Let b be 4\/(((-2)\/54)\/((-30)\/45)). Suppose -2*r + 124 = b. Calculate the greatest common factor of r and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5889963 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 - 4*m - 15. Let w be p(-6). Let d = 28 + w. Let b be -80*d*-20*25*100. What is b rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of t**4\/24 + 11*t**2. Let k be r(8). Calculate the greatest common divisor of k and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-12)\/7)\/(81\/(-378)))\/((-1548)\/(-27))\nAnswer: 6\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57602\/7, 2, 3, 1\/10, -7\/5, -4 in decreasing order.\nAnswer: 3, 2, 1\/10, -7\/5, -4, -57602\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p**2 - p. Suppose -4*z - z + 15 = 0. Let m(x) = -x**2 + 3*x + 1. Let u be m(z). Let l be y(u). Solve -l*o + 8 = 2*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/42 and 47\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1615590858.\nAnswer: 2, 3, 7, 137, 40111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*i + 14*i - 43*i - 2034 + 4*i + 7*i to the form k*i + r and give r.\nAnswer: -2034","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/67700 and 93\/20.\nAnswer: 67700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 5:46 AM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -6*j. Let i be s(-6). Suppose 0 = -4*m - 0*m - i. Which is greater: m or -10?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48221 - 15*c**3 - 48219 - c**2 - 26*c**3 to v*c + y*c**2 + d + s*c**3 and give s.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 51\/(-17) - 5\/(-2). Which is the closest to 2\/7? (a) -235 (b) 2\/3 (c) 4\/5 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3*z + 35. Give p(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**3 + 0*r + r + r.\nAnswer: -2*r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of c**3\/6 - 5*c**2 + 2*c. Calculate i(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-44)\/10 - (-4)\/10. Let z be (-6)\/(-18) + (-8)\/6. Let n = -1 + z. Put x, n, 4 in decreasing order.\nAnswer: 4, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t - t + 4*t)*(19 + 1191*t - 19 + 331*t + 1821*t).\nAnswer: -3343*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 16, 88, 262, 586, 1108, 1876?\n\"Answer: 8*m**3 + 3*m**2 + 7*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -o**6\/420 - o**2 + 3. Let l(t) be the second derivative of j(t). Let l(r) = 0. Calculate r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 827195?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((-2 + sqrt(1300))*1 + 2*sqrt(1300)*2)*3*1)**2.\nAnswer: -1800*sqrt(13) + 292541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8 - 1) + (0 - 3). Suppose 3*l - 2 - j = 0. Solve 3*v + l = -1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -5. Suppose r*c + 100 = x + 4*x, -95 = -5*x + 2*c. Let p(o) = 10*o**3 - o**2 - o + 1. Calculate the remainder when x is divided by p(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.0933086 rounded to one decimal place?\nAnswer: -6.1","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 4 + 38\/(-20). Let l = j + 1\/10. Let b = -2.5 - 0.5. What is the third smallest value in -5\/2, l, b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 125 by -1.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42.1 + 39. Let x = q - -2. What is x rounded to 1 dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 686, 2080, 4362, 7502, 11470, 16236, 21770, 28042?\nAnswer: 35022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 52 and (-2592)\/(-56) + 4 + 20\/(-70).\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1446, 1504, 1560, 1614?\n\"Answer: -u**2 + 61*u + 1386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvnvn. Give prob of sequence nv.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*u + 15*u + 200 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-448)\/(-512)*(-29488)\/(-266). Suppose 0*u = -4*u + 24. Solve 94*b = c*b - u for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 8*f - 31*f + 216 + 157 - 325 + f**2. Calculate the remainder when 142 is divided by r(23).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 - -4.1. Let l = 0.164015 - -0.235985. Sort 0.01, g, l, 0.1 in increasing order.\nAnswer: 0.01, 0.1, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, b: 1, k: 1, l: 1, a: 3}. Give prob of sequence ub.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xrxpnrwl. Give prob of sequence nrxw.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(448) + 0 + 5.\nAnswer: 5 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -121\/8295 - -2\/395. Let w = t + 221\/1155. Factor 4\/11*p**2 - 2\/11*p**3 - 4\/11 + w*p.\nAnswer: -2*(p - 2)*(p - 1)*(p + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101010001011010 (base 2) in base 11?\nAnswer: 15251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 368737 + 0.095\nAnswer: 368737.095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 417 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 109 = -5*h, 89 = 4*h + a + 2*a. Solve -2*t - 3*j - 1 = 7, 5*t - 2*j = -h for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 191*r**3 + 28*r**3 - 222*r**3.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/132 - (-7)\/(0 + 21)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.96 + -0.06. Let r = t + -1.9. What is the third biggest value in 1\/3, r, -2\/43, 2?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05*-1.8\nAnswer: -0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 249150\/323895*(-2)\/5*1\/(-2)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4 + 2 - 4)*(6 - 3 + 0) + (-2 + 1 + 0)*(-2 - 1 + 2) - 1 + 3 - 1 - 3 + 4 - 3)*(2*f - 4*f + 0*f) to h*f + a and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50864 is divided by 301.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 4*g - 7755 = 0, -g = i + 4*i - 7740. Suppose -i = -3*l - 5*j, -2*l - 4*j - 527 = -3*l. Suppose -7*x + l + 48 = 0. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 5*n. Let u be (-2)\/(-6) - (-230)\/30. Let z(r) = -r - u*r + 7*r. Calculate z(c(k)).\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1346, 1207, 976, 653, 238?\n\"Answer: -46*h**2 - h + 1393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2541.6 + -449. What is q rounded to the nearest one hundred?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 17*o**2 + o + 1. Let d = 0 - 1. Let u(w) = w**3 + w**2 - w + 6. Calculate the remainder when z(d) is divided by u(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 332210 - 10122212?\nAnswer: -3130002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2528 and 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 2:45 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.331 - 0.16174. Let k = 0.507 + l. Round k to 3 decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1326923 + 149.1064923. Let n = 149 - k. What is n rounded to three decimal places?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1463321608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -283 - -346. Differentiate -l + 19*x - 130*x**3 - 132 - 19*x with respect to x.\nAnswer: -390*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111110 (base 2) to base 5.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of 2*z**2 + 4\/3*z**3 - 8*z - 11. Find t, given that o(t) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 31 - 44 = -23*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3113 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 5*d**2 - 6*d - 1. Calculate the remainder when o(-5) is divided by 0 - -18 - 15\/5.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 700.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 8 - 5 - 12*n + n**2 + 8. Let m be r(11). Suppose m = -3*j + 7*j - 140. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from llzllllzlll?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -104267*r + 834239. What is s(8)?\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*n**2 - 15*n + 15*n**4 - 12*n**2 - 6*n**4 + 4*n**2 - 8*n**4 in the form r + z*n**3 + j*n + o*n**2 + g*n**4 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*i = -74*i + 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 - 1 - (3 - 1). Let s(n) = -n**2 - 9*n - 10. What is the remainder when 18 is divided by s(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 35 = -2*l. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5157 and 42528060?\nAnswer: 1719","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + w**2 + w - 3. Let r be k(0). Let l(v) = v**3 + 5*v**2 + 2*v + 4. What is the tens digit of l(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 2*m + 36 = 0, 2*m - 30 = -73*s + 68*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1309 divided by -631\nAnswer: 1309\/631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*(-50)\/180*(-2)\/(2\/3).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49 - 5. Let j = a + -43.958. Round j to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 - -2 - (77 + 1). Suppose 2*t + 1 + 5 = 0. Calculate the remainder when (((-29)\/t)\/1)\/((-24)\/s) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2696, -2703, -2718, -2747, -2796, -2871, -2978?\n\"Answer: -f**3 + 2*f**2 - 6*f - 2691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 10.413000499727 and -1?\nAnswer: 11.413000499727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*q**5 - 80206*q**4\/11 - 671654*q**3\/11 - 1470686*q**2\/11 - 543666*q\/11 - 54180\/11 = 0. Calculate q.\nAnswer: -903, -5, -3, -1\/4, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.8 + 6.2. Let i = -14.1 + 12.1. Let c = r + i. What is the nearest to 1 in c, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3*q = c + 4, 2*q + 2 = -2*c. Calculate the smallest common multiple of q and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - f - 5. Let r be t(5). Suppose 0 = 3*o + 2*o - r. Determine d, given that -3*d**3 + 11*d**4 + 4*d**2 - 15*d**3 + 40*d**5 + 3*d**4 - 4*d**o = 0.\nAnswer: -1, 0, 1\/4, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42 and 21?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/153 and -38\/98373.\nAnswer: 5017023","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 5*f**2 + 41*f - 25. Calculate the remainder when 151 is divided by b(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-6\/11)*b*b**(3\/2)*b)\/(b**(-7\/2)\/b**28) assuming b is positive.\nAnswer: b**(402\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 109403 or -0.2974?\nAnswer: 109403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4*d = 0. Let t = 2 + d. Let n(h) = -4*h**2 + 3*h. Calculate n(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*j + 84 = 19*j. Let s = -8 + j. What is the remainder when 21 is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -849?\nAnswer: 848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/230585 - -19599023\/161870670. Calculate the common denominator of c and -37\/468.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 2 + 18*z.\nAnswer: 18*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38\/95*-1)\/((6\/10)\/3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 151, 309, 465, 619, 771, 921?\nAnswer: 1069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -8 (c) 2\/13 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 3 + 1. Let h be -1 - (-3 - ((4 - y) + -2)). Suppose -h*p = -2*b + 22, 4*p + 36 - 3 = 3*b. Calculate the greatest common factor of 66 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000595 to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -11415656?\nAnswer: 11415664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - -12. Let k be 10\/(-2) - (41 - (104 - -29)). What is the highest common factor of o and k?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*i + 10*i = -87*i + 1540 for i.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 469 and 190481?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*s**2 - 10*s + 10*s + 2*s**3 - 4*s**2.\nAnswer: 2*s**3 + 6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 129, -2, 525, 1 in ascending order.\nAnswer: -2, 1, 129, 525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.27 + -4.17. Let j = a - -2.899796. Round j to 5 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.393 + 3.607. What is the third smallest value in 1, f, 2, 2\/17?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.793 + -0.093. Let q = s + -7.8. Let b = q - -4.2. Is b <= 2\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 6 = 2. Let y(h) = -h + 2. Let m be y(0). Suppose 5*k - 12 = -0*w - m*w, k - 5*w - 24 = 0. Which is the smallest value? (a) k (b) 2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23657?\nAnswer: 41, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*p + 4*n = -67*p - 2, n = -3*n for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.44023505 to 2 dps.\nAnswer: 0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j\/(j*j*j**(-6)))\/j*j)\/j*(j**(-5)*j)\/j)**(2\/43) assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.068907 and -11506.\nAnswer: -792.843942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5\/137, -4, 1\/4, 1717?\nAnswer: 1717","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5277, -6759, -8241, -9723?\n\"Answer: -1482*n - 3795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + 8*b - 3. Let v(k) = -30*k - 5*k**2 + 31*k - 4*k**2 - k**3 + 17. Let q be v(-9). Let h = -16 + q. Calculate j(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2 = -0*f. Solve -w - 2*v = -f*w - 3, -9 = 3*w + 4*v for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 7:07 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-27)\/(-18))\/(7\/(-3)) and -29\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + g. Let x(f) = -f - 7. Determine 2*l(h) + x(h).\nAnswer: -2*h**3 + h - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38113 is divided by 9449.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*y + (-1 + 3 - 1)*(y + 0*y + 2*y) + 1 - 5*y - 1 + y + 0 - 3*y - 2.\nAnswer: -6*y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -1. Suppose -2*y - 84 = -4*z, -8*z + 7*z + 5*y = -39. Suppose r - z = -a. Calculate the remainder when a is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -123782340 divided by 3135.\nAnswer: -39484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -9 - 2987*y**3 + 6*y**2 - 6*y - 2948*y**3 + 5942*y**3. Let g(o) = o**3 + o**2 - o. Calculate -6*g(n) + l(n).\nAnswer: n**3 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k + 6. Let c be i(-3). Find the third derivative of -c*z**2 - 3*z**4 - z**4 + 0*z**4 - 3*z**2 wrt z.\nAnswer: -96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 6:59 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 17870 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(w) = 2*w**3 - 17*w**2 + 30*w + 4. Give g(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - 16\/((-20)\/5). Is ((-95)\/(-15) - y)*24 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**4\/7 + 1552*c**3\/7 - 12330*c**2\/7 + 32292*c\/7 - 27648\/7 = 0. What is c?\nAnswer: 2, 3, 768","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 6*g - 5*o + 15, -g = 5*o + 21. Let j = 15 - g. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9\/2233? (a) 11 (b) 0.1 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = v - 4*o, 9*v + o + 3 = 8*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 230346\/37 - 6226. Calculate the common denominator of l and (69\/4)\/(6 - (-5 - (-19)\/2)).\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08713543 to three dps.\nAnswer: 0.087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 2\/9, 4, 0.2, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 623 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -365*x**3 - 938034*x**2 + 1918680*x - 82304 = 0.\nAnswer: -2572, 16\/365, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + b + 4*f - 16 = 0, 3*b - 4 = -f. Let z be 2\/(-4)*(b - 0). Solve 4*j - 5 = -3*c - z*c, 3*c - 5*j = 14 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3584 - -3590. Calculate the least common multiple of 21 and z.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -488 + 17078\/35. Which is smaller: 1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 108\nAnswer: 5\/108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s + 20. Calculate u(-23).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 4*s = 6, 14371 = -3*m - s + 14378 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.066, -0.4, -6236 in descending order.\nAnswer: -0.066, -0.4, -6236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 12) to base 13\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 - 19. Let a = -1 + 3. Suppose -g + 66 = a*g. Calculate the least common multiple of g and l.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.21 - -14.21. Let l = -117.04 - -116.04. Which is the closest to s? (a) -0.4 (b) l (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 7. Let z be (-175 - -178)*6\/(-9). Which is the third biggest value? (a) 1 (b) z (c) 0.2 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2693)\/(-2) - 16\/32 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002418596809 to seven dps.\nAnswer: 0.0024186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -31 * -3.0991\nAnswer: 96.0721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7 - 6\/7*z - 8\/7*z**2.\nAnswer: -2*(z + 1)*(4*z - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 138*s = -143*s + 29, -3*s = -5*g - 5. Solve 0 = -6*p + g*p - 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -7. Let w(k) = -k**2 - k + 12. Let v(z) = -z - 1. Let u(q) = -4*v(q) - w(q). Let m be u(-6). Which is greater: m or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 652*x + 649*x = -90, -2*l + 4*x = 120 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -116 + 51. Let l = -33 - n. What is the third derivative of -272*x**2 - 6*x**3 + 294*x**2 + l*x**3 wrt x?\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 - 30*q + 5. Let f be 6\/(-4)*-20*(-6)\/6. Let w be t(f). What is r in 2\/17*r**2 - 2\/17*r**3 + 0*r + 0 + 2\/17*r**w - 2\/17*r**4 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -2\/7 (b) 3\/52 (c) 6 (d) -2 (e) -1\/107 (f) -1506 (g) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 + m + 3. Determine s(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 - 31. What is the second smallest value in 1\/5, 6, w?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -20, 4085, 2, -2 in ascending order.\nAnswer: -20, -8, -2, 2, 4085","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 15944.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -1 - (-2 - 0)) + (-22 - (-170 + 139)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3655209, 7310485, 10965761?\n\"Answer: 3655276*b - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10338, -20680, -31022, -41364?\nAnswer: -51706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1176550 - 4?\nAnswer: -1176554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 3, -3, -2, 24.\nAnswer: -9, -3, -2, 3, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 113, 106, 95, 80, 61?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 3 + 1)*(1 - v - 1) - 136*v - 622*v + 277*v - 603*v)*(-2 + 2 - v) in the form y + k*v + r*v**2 and give r.\nAnswer: 1086","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3019183054.\nAnswer: 2, 37, 53, 769807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-75))\/(2\/30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 59548481879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 6*t + 2*n = 16844, -16860 = -4*t + 2*n. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 207 = 3*u, -2*u - u + 4*p + 193 = 0. Let j = 162 - u. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4))**(-18)*(a*a*a\/(a*a**(-3)\/a)*a*a)**(-37) assuming a is positive.\nAnswer: a**(-224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12.93 + 13.06. Which is the fourth smallest value? (a) t (b) -5 (c) -2\/11 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 834*i. Let s(w) = -26*w + 123*w - 27*w - 31*w - 35*w. Calculate x(s(k)).\nAnswer: 3336*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 - 3 + 1)*(-2*y - 4 + 4) - 10*y + 3*y + 4*y)*(2 + 2*y**2 - 6 + 2 + 7*y**3) in the form x*y**3 + w*y + u*y**4 + o*y**2 + n and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 - 3)\/(7*1). Suppose -5*v + 8 = -2*l, -4*v - 1 = -4*l + 7. Suppose 0 = 2*u - 0*u - 2*p + 2, l = 3*p. Which is smaller: u or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (459 - 430 - (-1 - -32)) + (-2 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*d - 8 = 190. Suppose -40 = -d*a + a. Solve -p + 5*x - 2 = 0, 4*x = a*p - 0*x + 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of 2*h**3\/3 - 19*h**2\/2 + 406*h. What is g(12)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - 7*x - 4. Let v be q(5). Is (432\/(-28))\/(2\/v) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/5 (b) -4\/19 (c) -2\/7 (d) -4 (e) 1.6 (f) 5 (g) 10\/7\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eleven eighths of a day?\nAnswer: 1980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3 = 9. Suppose 0 = q - 4*g, -g = 5*q - a*g. Suppose -8 = 4*j - 5*o, -5*o + 4 + 16 = q. Let d(y) = -y**2 + 2*y + 2. What is d(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 88886*q**3*y**2 - 30*q**3 + 2*q*y**2 + 17556 wrt y.\nAnswer: 177772*q**3*y + 4*q*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5*f - 40 = -6*f, 0 = -3*f + 3. Suppose -2*c + 3*r - 3 = 0, -c + 20 - p = -5*r. Let k(s) = -4*s + 4. Give k(c).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11.66 - -12.34. Sort -4, 3\/7, w, 0.\nAnswer: -4, 0, 3\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 4139 = 2105. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 976 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 330234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*m - 6315838 - 28166372 + 165555. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from dedefmee.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/7, -20, 2\/5, 1\/2?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -2\/33 in decreasing order.\nAnswer: 3, -2\/33, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 42 = 2*x, -2*g = -2906*x + 2905*x - 13 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 334*s**2 - 652*s - 2744. Give k(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 70*l - 14. Let m be h(1). What is the third derivative of -2*c**4 - c**4 - 87*c**2 - 13*c**6 + 89*c**2 - m*c**2 wrt c?\nAnswer: -1560*c**3 - 72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -959, -944, -929?\nAnswer: -914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and 7690.\nAnswer: 46140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 285058?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.065 or -34\/11?\nAnswer: 0.065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-174)\/(-12) + -7)\/(0 - 6\/8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/2490 and -59\/6.\nAnswer: 2490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -78914 (base 15) to base 9.\nAnswer: -643851","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.1 (b) -35 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -1 - 1 - 5*x - 3 + 3. Let c(n) = n. Let a be 4\/((-4)\/(-6)*-1). Give a*c(b) - z(b).\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/(53\/177 - (-4)\/(-12))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/7)\/((4\/410)\/(70\/(-300)))*-4?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1029 not equal to 227730\/221?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -3*t. Let l(p) = -7*p + 4. Calculate 3*d(r) - l(r).\nAnswer: -2*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2 + 25*n - 19*n + n**3 - 7*n**2 + 6. Let d be f(6). List the prime factors of 82\/d - (-6)\/4.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -24? (a) 0.042 (b) 4\/9 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98 and 467999.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 6*g**2 + 4*g + 4. Determine q(-4).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 33, 10088, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 2. Suppose 5*t = v - 774, 4*v - 632 = -2*t + 6*t. Let x be t\/(-147) - 2\/6. Which is bigger: f or x?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - s. Let t(n) = -5*n**2 - n - 1. Let u(b) = -4*b**2 - 3*b - 1. Let r(w) = -2*t(w) + 3*u(w). What is r(l) - 5*z(l)?\nAnswer: 3*l**2 - 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.35 - -3. Let g = m - -0.3. Let h = g + 0.05. Which is the biggest value? (a) 2\/11 (b) -1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -35*w**4 - 13*w**3 + 167*w**2 - 155*w + 36. Let u(f) = 17*f**4 + 7*f**3 - 83*f**2 + 77*f - 18. Let y(o) = 2*a(o) + 5*u(o). Factor y(t).\nAnswer: 3*(t - 1)**2*(t + 3)*(5*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -0.018 (c) 1\/2 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -251, -8, -7572 in decreasing order.\nAnswer: 1, -8, -251, -7572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 1 - (-43 + 20)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 539*x - 904 = 87*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1127519 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 13*v**2 - 29*v - 11. Let z be d(15). Suppose -726 = -6*n + 3*n + z*o, -3*n + 705 = 3*o. What is the greatest common divisor of n and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*k + 12*b - 34*b - 72 = -18*b, 2*k = 3*b + 65 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 533877833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1380)\/40 + 16)\/(100\/(-80)*(-2)\/(-5))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1675 (base 8) to base 10.\nAnswer: -957","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d + 4*q + 28, -3390*d - 5*q + 47 = -3386*d for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -1.9. Let a = 91522 - 91522.2. What is the fourth smallest value in -1\/8, a, b, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -980*b**3*g*n**3 - 123*b**3*n + b**2*g*n**3 + 2*b*g + b*n**2 wrt n.\nAnswer: -5880*b**3*g + 6*b**2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((0 + sqrt(1053) - sqrt(1053)) + sqrt(13))**2.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in ten ninths of a week?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + 14*s - 18. Determine c(-5).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 10:47 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 4*v + 9. Determine s(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - f + 4*z = 760, 3*f = -5*z + 1138. Suppose r - 305 = 2*d - 6*d, 5*d - 4*r - f = 0. Suppose 2*n = 2 + d. Does 13 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 495*(3 + 1 - 8\/4). Let x be ((-4)\/6)\/((-4)\/p). Suppose -901 = -16*j - x. Is 16 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 9*s = 0. Suppose -m - 4*p = 7 - 31, -m + 2*p = s. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 7:54 PM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 731374?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -24. Let h = -14 - x. Let b = h + 2. Put 3, -1\/8, b in ascending order.\nAnswer: -1\/8, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 798724334 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-6))\/(((-1)\/((-810)\/1020))\/((-6)\/(-9)))?\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - b + 7*b - 4*b + 0*b**2 + 3*b**2 - 2*b**3 to the form w*b + g*b**3 + x + j*b**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 4, 32, 0.2, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 136 and 562819.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a + 32. Let n be b(-10). Let k(y) = -3 - y**2 - y**2 - 5*y**n + 9*y**2 - y**2. Give k(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q + 1. Let d be r(0). Let k be ((-15)\/(-78))\/((-3)\/(-2)). Let p = k + 7\/13. Which is the third smallest value? (a) d (b) p (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = 4*q + 28. Suppose 30*i - q = 29*i. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35\/96 + -1\/32. What is the nearest to -0.3 in u, -4, -6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2656? (a) 0 (b) 5 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 d, and 1 j when three letters picked without replacement from {k: 1, j: 1, c: 1, m: 2, d: 12}?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - -7. What is the units digit of (r\/(-2) + 5\/1)*-542?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -639 and 34098.\nAnswer: -21788622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1230, 1238, 1246, 1254?\nAnswer: 1262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 288*r**2. Let b(t) = -t. Calculate o(b(a)).\nAnswer: 288*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/5 + 1 - -1. Let g = 0.5 - -1.5. Let m = -160 + 797\/5. What is the closest to d in -2, g, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 900973 to the power of 1\/3, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 + 17*h - 57. Let v be 6 - 5*(-3 - -2). Let m be f(v). What is the greatest common divisor of m and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -0.2, -2, -4, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*d - 4*j - 422, -2*j = 21*d - 25*d + 170 for d.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2632, -5240, -7822, -10366, -12860, -15292, -17650?\n\"Answer: 2*s**3 + s**2 - 2625*s - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/32 and 73\/25384364.\nAnswer: 203074912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.9 + -0.8. Let y = x - 6.6. Which is the nearest to -1? (a) y (b) -2\/13 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-24)\/16*1*4\/(-3). Let c(w) be the third derivative of 0*w**3 + 0*w + b*w**2 + 1\/315*w**7 - 1\/90*w**5 + 0*w**4 + 0*w**6 + 0. Solve c(d) = 0 for d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3401, -6805, -10205, -13601?\nAnswer: -16993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of -11*b**4\/4 - 4*b**3\/3 - 2*b**2 + 4*b + 316. Let o(z) = 22*z**3 + 9*z**2 + 9*z - 9. Give -4*o(h) - 9*x(h).\nAnswer: 11*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4035823354?\nAnswer: 2, 47, 42934291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -2*y + 158, -y - 16*c + 13*c + 81 = 0. Let a = 37 + 3. What is the smallest common multiple of y and a?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t - 5*t + 10*t + 3*t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 1 = 3*n + 8, -13 = 5*n - 3*s for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16367 by 13.\nAnswer: 1259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1521 + -1650 + (79 - -3)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 4*n**2 + 3. Let u be g(4). Suppose j + 34 = -u*j + d, 5*j - 3*d + 46 = 0. What is the units digit of (-3 + 13)*(-4)\/j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 15425, 123440, 416633, 987596, 1928921?\n\"Answer: 15432*f**3 - 3*f**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + m**2 + 3 + (2 - 2 - m)*(2*m + 0*m - 3*m) + 0*m**2 - 3*m**2 + 5*m**2 - 2*m**2 + 4*m**2 - 4*m**2 - m**2 - m**2 + 5*m**2)*(-6*m**2 + 3*m**2 + 2*m**2).\nAnswer: -5*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - t + 7*t + 6*t - 4 - 1.\nAnswer: 12*t + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*i + 0*i + 1400 = -i. What is the least common multiple of i and 84?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 8*g**2 - 10*g - 3. What is the smallest common multiple of n(-9) and 32?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**4 + 2*j**3 - 4*j**4 + 12*j**4 - 2 as q*j**4 + v*j**2 + b*j + g*j**3 + o and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14)\/(-5) + 6\/(-60)*8. Suppose 2*g + 2*g - 2*c = 24, 2*g + h*c - 18 = 0. Calculate the remainder when 10 is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 125 = 3*q. Let t = 321 - 322. What is the third smallest value in t, 0.2, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21 * -320.\nAnswer: -6720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of i**5\/20 + 3*i**4\/4 - 11*i**3\/6 - 3*i**2 + 2*i. Let k be l(-10). Calculate the greatest common factor of k and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4\/35 - -2\/7. Let h be 2 + (-11)\/(-320)*-58. Let j = 63\/160 + h. What is the nearest to j in v, -5, 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 6*m - 12. Let c(u) = u**3 - 5*u**2 + 4*u - 6. Let h be c(4). List the prime factors of a(h).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, p: 1, t: 4, f: 3}. What is prob of picking 2 t, 1 f, and 1 p?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -324 = 5*w - 339. Sort w, 1577, 2 in ascending order.\nAnswer: 2, w, 1577","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 15101*l**2 - 25*l + 62. Let g(x) = 2*x. Determine g(d(u)).\nAnswer: 30202*u**2 - 50*u + 124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5245*w**2 + 2857*w**2 - 11957*w**2 - 8381*w**2.\nAnswer: -22726*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 27032 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: Suppose -34871 = -9*u + 3505. Suppose -4*l = 4*r - u, 3*r - 2887 - 307 = -l. Does 28 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -810 - -737 - (2 + -44).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 187*r**2 + 197*r**2 - 4 + (-2*r**2 + 2*r**2 - 3*r**2)*(0 - 11 + 6)*(-3 + 3 - 1) to the form c*r + b*r**2 + g and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 243, 4, -44, 2 in decreasing order.\nAnswer: 243, 4, 2, -1, -4, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2\/7 - 8832*m\/7 - 168740.\nAnswer: -4*(m + 143)*(m + 2065)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2. Let p(g) be the second derivative of -19*g**4\/12 - 9*g. Determine p(x(z)).\nAnswer: -19*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2*v - 6. Which is greater: v or 6\/11?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 6*(-1)\/(-2). Let r be (2\/f)\/((-3)\/(-768)). What is the highest common factor of r and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of m**6\/360 - m**5\/120 - m**4\/24 + 2*m**2. Let u(h) be the second derivative of q(h). What is the derivative of u(z) wrt z?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 5*n = -20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 429 and 24.\nAnswer: 3432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(1900))*3 - -1*sqrt(1900)*2)**2.\nAnswer: 47500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6907 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of g**5\/5 - g**4\/2 - 41*g**3\/6 + 10*g**2 - 127*g. Is j(13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 3 = -3*m - 3*g, 0 = -g - 4. Let f(j) = -2*j - 22 + 38 - 12 + 5*j. Determine f(m).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.5624 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1021 + 1001?\nAnswer: 2022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 6:03 AM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 978.\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3040?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 10 - 35, -v - 23 = -5*o. Let t be 46\/8 + 3\/12. Let b be v\/(-22)*(-6 - t). Which is smaller: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-1*(-1*(0 + sqrt(99)) - (-3 + sqrt(99) + sqrt(99) + (sqrt(99) - (-1 + sqrt(99))**2))).\nAnswer: -90*sqrt(11) + 515","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1101100110000010110 (base 2) to base 16\nAnswer: 6cc16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8675781 or 164839816\/19?\nAnswer: 164839816\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - ((9 + -53 - -6) + -8)) + (3 - -1)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 225320993 to the power of 1\/2, to the nearest integer?\nAnswer: 15011","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2965472 and 201?\nAnswer: 2965271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 271877953381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2 + 1 + 27892*y - 27893*y. Let t(k) = -2*k + 7. Let v(b) = b**2 - 5*b + 9. Let r be v(4). Let u be -2 - (-1 - 1\/(-1)). Calculate r*h(g) + u*t(g).\nAnswer: -g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*u - 2. Let r(f) = f + 16. Let q be r(-10). Suppose 0*v + q*v - 162 = u. What is the highest common divisor of 9 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7369952?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-94)\/(-705) - ((-16)\/30)\/(-4). Suppose h = 17*p - 27*p + 6030. Is 9 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1111 and 303.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2 + sqrt(42)\/(sqrt(30)\/sqrt(5)) + 1 + -2.\nAnswer: 1 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1266631 (base 8) to base 15\nAnswer: -7060c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w\/(w*w**(1\/2)*w))))**(-6\/19)\/(w**(1\/4)\/w**7)*(w\/(w**(-1)*w*w))**(-1\/13)\/(w**(-3\/10)*w**6) assuming w is positive.\nAnswer: w**(579\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of -k**4\/6 + 8*k**3\/3 - 9*k**2\/2 + 30*k. Is b(7) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 27 in decreasing order.\nAnswer: 27, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (i - 3*i + 0*i + (1 + 3 + 0)*(-1982 - 3*i + i + 1900))*(i - i - i) as f*i + w*i**2 + r and give f.\nAnswer: 328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.24528 micrograms to kilograms.\nAnswer: 0.00000002124528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2020.08 + -2020. Sort i, 3, 2\/11, 0 in descending order.\nAnswer: 3, 2\/11, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1651 and 635.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - r + 229*r**3 - 244*r**3)*(r + 13*r + 4*r).\nAnswer: -270*r**4 - 36*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-112) - (-3)\/(-6)*1.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -166, -1 in ascending order.\nAnswer: -166, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 1 = 2*w. Let c be (2 + -2)\/(w + -2). Suppose c = -5*l + 6*l - 7. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a tonne in kilograms?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 614\/5865 + -123405239\/35190. Let z = d - -3510. Calculate the common denominator of z and -4\/45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 102651.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 11 + 21)*(28*o + 2*o + 26*o).\nAnswer: 1904*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**2 - 16*u + 16*u.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 5*g - 8. Let o(z) = z**3 + 4*z**2 - 7*z - 7. Let c be o(g). What is the derivative of -c - h + 2 + 2*h wrt h?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15*(-21)\/(-945)*((-270)\/3)\/3\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116862?\nAnswer: 2, 3, 19477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**4 + 4*g**4 - 28 + 2*g**2 - 2*g**3 + 11 + 16 in the form l*g**3 + v*g**4 + i*g + d*g**2 + y and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(363) + -5*(sqrt(363) + (sqrt(363)*5)**2 + sqrt(363)))*-5 + 4*(-1 + sqrt(363) + -1)*-6.\nAnswer: -1134327 - 2739*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 973.8144 millilitres to litres.\nAnswer: 0.9738144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 7*u + 1. Solve u*t - 3*t - 2*v = -3, 1 = -5*t - 2*v for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 108075056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1916949?\nAnswer: 3, 139, 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y - 6. Let h be u(-5). Suppose -5*b = -11 - h. Suppose -4 - 16 = b*o, 3*l + 2*o = 62. Is 12 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7294 - 1320222\/181. Are i and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 66288743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + 3. Suppose -o + d = -0*o. Let y(z) = -z**2 + 11*z - 12. What are the prime factors of y(o)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*t - 15*t - 3966*t**2.\nAnswer: -3966*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 - 4. Let d be -2 + 2 + u\/(-30). Let i = -8 + 33\/4. What is the closest to -0.1 in -0.3, d, i?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**5 - c**5 + 2*c**5 + (4*c - 4*c + 4*c**4)*(0 + 0 - 2*c) + 3*c**5 + c**5 - 3*c**5 + 647 - 24*c**5 - 647.\nAnswer: -32*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**3 + 2*t**4 - 4*t**2 + 4*t**2)*(-4 - 1 + 6)*(5*t - 3*t - 3*t).\nAnswer: -2*t**5 + 2*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3400 (base 5) to base 13.\nAnswer: 2a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -169771 (base 12) in base 14?\nAnswer: -a2137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 4*q**2 - 6.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1057\/445 + -158\/89. Which is the smallest value? (a) -38 (b) m (c) 2\/3 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 12864.\nAnswer: 2572.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89038 = -4*b - q, 54534 = 2*b + 5*q + 10042. Calculate the highest common factor of 394 and b.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*r = 492 + 916. Let p(b) be the second derivative of -b**4\/12 + 8*b**3\/3 - 3*b**2 - b. Calculate p(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2058, 4098, 6138?\n\"Answer: 2040*x + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 92207 and 19.\nAnswer: 92226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 7. Which is the nearest to y? (a) 0.4 (b) -1\/4 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + (98\/(-126) - (-4)\/(-18)). Suppose o = 10*i - 674 - 1276. Is 13 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45) + 4*(sqrt(45) - sqrt(135)\/sqrt(3)) + sqrt(225)\/sqrt(5)*6)\/(6*sqrt(27)\/(sqrt(18)\/(sqrt(6)*-2) + sqrt(3)))*5)**2.\nAnswer: 6125\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -0.5, -0.4, 11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - 3\/(-2))*2. Let t be (1065\/(-12))\/(w\/28). Suppose y = -4*y + t. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -4*d - 33 + 9, -f = -5*d - 21. Let p be (48\/(-32))\/(21\/f). Factor 0*k + p*k**2 + 0.\nAnswer: 2*k**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**2. Let z(j) = -70*j**2 + 78*j**2 - 3*j + 3*j. Determine i(z(n)).\nAnswer: 128*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**2\/11 - 916*x\/11 + 104882\/11 = 0?\nAnswer: 229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31385 - -31390. Solve h*t + 66 = 5*j + 36, 2*t - 8 = -3*j for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 6*m + 3. Let n(r) = -5*r - 2. Give 5*n(p) + 4*z(p).\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 13 = -2*m - 5, -33 = -4*a + 5*m. Suppose 6 = -a*r, 4*r = -q - r + 207. Is q a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 0, -1903 in decreasing order.\nAnswer: 0, -1, -5, -1903","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 404309?\nAnswer: 404304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 922 - 388*a + 385*a - 4035.\nAnswer: -3*a - 3113","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + -1 + sqrt(325) + -6*sqrt(325)*1)**2 + -2.\nAnswer: -50*sqrt(13) + 8124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/(-45)*3\/(-2). Let t = 3.06 - 0.06. Put 4, t, o in ascending order.\nAnswer: o, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 108 = -3*o. Calculate the highest common divisor of 9 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 306*o + 25. What is a(-17)?\nAnswer: 314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1220*a + 271*a + 813*a - 2098 - 577*a wrt a?\nAnswer: 1727","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -84.474 to 1 decimal place.\nAnswer: -84.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-6))\/(6\/9). Let j = 1 + -2. Let n = j - -0.9. What is the closest to k in -1\/3, n, -0.3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 34, 1950, -140?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/sqrt(54))\/(sqrt(8)*-4).\nAnswer: -sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 158390*d**4 + 31*d**2 - 2067518*d - 3 wrt d?\nAnswer: 1900680*d**2 + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/18)\/(-1)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**2 + 9*c**2 - 5*c**2 + 7*c**2 + 4*c**2.\nAnswer: 14*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/6)\/((-2)\/(-6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.03 (b) 0 (c) 5 (d) -0.086 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + 174003. Let f be b(0). Let z be 1 + 2 + 0 - f. Round z to the nearest 10000.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 2*o - 3*o)*(-o + 3*o + 0*o)*(-2*o + 2*o - 2*o).\nAnswer: 16*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kiwlkiwlll. Give prob of picking 2 k, 1 l, and 1 w.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 5)*(2*o**4 + o**4 - 2*o**4) + (3*o - 2*o - 2*o)*(3 - 1 - 271*o**3 - 129*o**3).\nAnswer: 402*o**4 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 9441 = -4*o - 300, 0 = -2*o + 6. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1015)\/6300 + 18\/120\nAnswer: -1\/90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-2))\/((-40)\/160)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3421\/30 - -586\/5. Let w(b) be the first derivative of -k*b**3 + 2*b + 7\/8*b**4 + 2*b**2 + 4. Factor w(y).\nAnswer: (y - 2)*(y - 1)*(7*y + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -345*b - 9652. Give a(-28).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**1)**(-31)\/(m**6\/((m\/(m*m**(-8)))\/m)))\/(m*m\/(m**(1\/5)*m)*(m*m**(1\/3))\/m*m**8*m**4) assuming m is positive.\nAnswer: m**(-647\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 32\/5 of a micrometer?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.023000116 + 0.023. What is w rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**4\/9 + 92*l**3\/9 - 50854*l**2\/9 - 132664*l + 37428552.\nAnswer: 2*(l - 103)**2*(l + 126)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one fifth of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -165 + 2\/((-6)\/(-3)). What is the tens digit of 2\/(8\/(-4))*z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a289 (base 11) to base 7.\nAnswer: 420351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 8, q: 4, a: 5}. What is prob of sequence nn?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15*(-1)\/(18\/15))\/((-331)\/(-662)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -85.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 160 and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o - 5*q - 12, 4*o - 10 = q + q for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.1079 - 5774102.4\nAnswer: -5774102.2921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05648 rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 26\/5 of a gram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 14 - (-356 + 324)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -816*m**2*w + 5*m**2 + 2*m*w + 4*m - 9*w wrt m.\nAnswer: -1632*w + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (95\/((-12255)\/(-86)))\/(1\/(-30)*-46).\nAnswer: 10\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 26*h - 107. Let v(u) = 21*u - 108. Let j(p) = 6*o(p) - 5*v(p). Differentiate j(r) with respect to r.\nAnswer: 51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of i**7\/280 - 3*i**5\/20 - i**4\/2 - 14*i**2 + 2*i. Factor y(b).\nAnswer: 3*b*(b - 4)*(b + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (7 + -6 + -3 - 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 39087 times -9.81?\nAnswer: -383443.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 830 and 520.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 1*(-4 + (21 - 2))?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 19177751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -19*i. Suppose m - 38 = -m. Let q(t) = 9*t**2 + 7*t**2 - m*t**2. Calculate v(q(j)).\nAnswer: 57*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 21*h**3 + 3317*h**2 - 151*h + 1128. Calculate r(-158).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -0*n + 3. Suppose n*u - 12 = -u. Suppose 4*j + 4*i + 4 = 0, 0*j + 3 = 3*j - u*i. Solve -2*f + 3*f = j for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-10))\/(32\/(2240\/42)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 105595330 and 105595330 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (5 - (9 - 5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -24*v**2. Let w(s) = -119*s**2. Determine 11*i(o) - 2*w(o).\nAnswer: -26*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 7:39 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hfh when three letters picked without replacement from dffffhfhdff.\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1987 at least as big as -1987?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 209492648?\nAnswer: 2, 23, 1138547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 4*m**2\/7 - 5443612*m\/7 + 1852056975409\/7 = 0.\nAnswer: 1360903\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1232)\/64)\/(36\/60*-1*(-45)\/54).\nAnswer: -77\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 688.13 and -14711.1.\nAnswer: -14022.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-45)\/(-10) - (-1)\/2. Suppose -74 = -q*v + 3*t, 3*t = -v + 1 + 3. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/1728245 and 42\/1728245.\nAnswer: 1728245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 537, -3, -51 in increasing order.\nAnswer: -51, -3, 4, 537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = v + 2*a, -3*a - 1 = -v + 8. Let g be -3 + (-3 - (1 + v)). Let h be 1\/4 - (-18)\/(-8). Sort h, 1, g.\nAnswer: g, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/10 of a meter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, 216, -1\/8, -1, 4\/9?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7684766 minus 7515.1?\nAnswer: -7692281.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/9 and 35\/76.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/13*54\/6*12\/(-90)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0010298 rounded to 4 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 279357?\nAnswer: -279362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of 64 + 3\/10*b**7 + 0*b**4 + 0*b + 0*b**6 + 0*b**3 - 2*b**2 - 47\/20*b**5. Find the third derivative of g(x) wrt x.\nAnswer: 1512*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -128962079.\nAnswer: -1\/128962079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3424*c**4*w + 2*c**2*w + 25*c**2 - 236507*c*w + 3*c wrt c?\nAnswer: 41088*c**2*w + 4*w + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -221 by -1.\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*p**3 - 19*p**3 - p**3)*(2 - 6 + 2)*(3*p - 2*p + 0*p).\nAnswer: 54*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 - 286\nAnswer: -286.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -973870*o**2 - o + 174523 wrt o?\nAnswer: -1947740*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 + 48. Let u = 52 - l. Is 11 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*x**5 - 57*x**5 - 11*x**5 - 3*x**5 - 2*x**5 + 4*x**5 + (-3*x + 4*x + x)*(-1 + 1 + x**4).\nAnswer: -51*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 732317 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 10:57 PM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 946143 and 495?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21021 + 10?\nAnswer: 21031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 33*u + 29904 - 111508 = 0. Is 3 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 204*j**3 + 12*j**2 + j - 4. What are the prime factors of p(2)?\nAnswer: 2, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 157271*x**4 - 32930*x**2 wrt x.\nAnswer: 3774504*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -50417 - -50416.99999755176. What is f rounded to 7 dps?\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*m - 41 = 0, 30 = 2*p + 6*m - 4*m. Suppose 10*r + p*r = 223461. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 9) to base 3\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 112998665 by 1.\nAnswer: 112998665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + ac610a1?\nAnswer: ac610a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7771 and 13243?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -2*p**5\/3 + 8*p**4\/5 - 8*p**3\/15 = 0.\nAnswer: 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -5371238*i**4\/11 - 32111502*i**3\/11 + 694722*i**2\/11 - 5002*i\/11 + 12\/11 = 0?\nAnswer: -6, 1\/139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1425)\/38*168\/(-9)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((-4)\/(-140)) - (31 - 26). Let j be 698\/10 - (-4)\/20. Calculate the greatest common divisor of j and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -4*p**2 - 11*p + 80. Let i be h(-6). Suppose -2*k = -4*u - 25 + 5, 0 = -4*k - u - 5. Suppose w - i = -k. Solve -3*j + 2 = -w*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o = u - 12*o + 4, 20 = -u - 5*o. Solve -3*t - 661 + 658 = u for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1123 + 514?\nAnswer: 2041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -840*x + 82437. Give h(98).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-10))\/(1504\/752)*2\/(-21)\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/10)\/((-32)\/(-40))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (-18 - -8) + 3 + -2 + 10.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/6 + 110\/33. Suppose u*g = 7*g - 144. Is 9 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, n: 3, e: 2, v: 1, b: 1, o: 5}. What is prob of sequence heo?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 273 and 819.\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2 - 816*s - 1648.\nAnswer: 4*(s - 206)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + -15 - (27 + -23).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26118 = -397*f + 710 for f.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m**3 + 2*m - 2*m**3 + 2*m in the form h*m**3 + b*m**2 + a*m + w and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a + 0*a + 0*a.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/7 in -1\/4, 0, -3\/5, -0.1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*v - 103 + 103 as n + l*v and give l.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 956?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84011.\nAnswer: 84011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, j: 2, x: 1, r: 3, a: 1, c: 4}. What is prob of picking 1 a, 1 x, and 1 j?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 878, -4, -239749 in increasing order.\nAnswer: -239749, -4, 878","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*g - 13. Put g, 4, 5 in ascending order.\nAnswer: g, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*n**2 + n**2 - 2 + 10*n**2 - 4*n**2 in the form v*n + u*n**2 + h and give u.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 504?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**3 + 2*n**4 + n**3)*(-13 + 1 - 4) + (n**2 + 2*n**2 - 4*n**2)*(0*n**2 - 4*n**2 + 5*n**2).\nAnswer: -33*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -400 + 676. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 8 = 2*r, -3*r - 5*i - 27 + 83 = 0. Let o = r + -10. Solve -3*y + 3 = -2*w, -5*w + o = -4*y + 6*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 915043 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/67 and 79\/6030.\nAnswer: 6030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3138876 a multiple of 1203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -12, 2, 9\/2, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 12:56 AM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*j + 2*j - 28*j - 20*j to f + h*j and give h.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -80*z**2 + 17*z - 18. What is i(1)?\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**5*a*a**(2\/3)*((a*a*(a\/(a**(-2)*a))\/a)\/a)\/(a\/((a*(a\/a**6)\/a*a*a*a)\/a*a))*(a**(-3\/5)\/a*a**(1\/7))\/((a**6\/a)\/a**(-6\/11)) assuming a is positive.\nAnswer: a**(-1543\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 410*m - 56564. Determine i(139).\nAnswer: 426","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 450949123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1591737?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/2 (b) 0.6549 (c) 0.16625 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4\/13, -112, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5\/4 of a kilogram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 196, 372, 548, 724?\n\"Answer: 176*d + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4704 is divided by 162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/5 (b) 0.4 (c) -0.0201 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 331 is divided by 42.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13130499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 17 = 5*g, 2*g - 630*b + 634*b - 6 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 c when two letters picked without replacement from {r: 1, d: 1, c: 3, y: 5, m: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*(-12)\/432*4)\/(8\/14)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*p - 42*p = 586*p + 17622 for p.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**4 - 288*z**3 - 4888*z**2 + 10656*z - 5476.\nAnswer: -4*(z - 1)**2*(z + 37)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/370440 and 101\/3696.\nAnswer: 8149680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - (5 - (-2 - -6)). Suppose u + a + 5 = o, 4*u - 13 = 5*u - a. Let v = 14 + u. Solve -v*k + 15 = 3*p, 6*p - 25 = p - k for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 5*p**2 - 3*p + 10. Let a be y(-5). Suppose 0*z + a = 5*z. Suppose -3*u + b = -15, z*b = -5*u + 5 + 40. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1\/a*a*a*a*a*a**(-2\/13))\/(a*(a\/(a\/(a*a\/(a\/(a*a*a\/(a**12\/a)*a)*a))))\/a*a**3) assuming a is positive.\nAnswer: a**(102\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-8)*17*7\/1190?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5622, 5626, 5628, 5628?\n\"Answer: -q**2 + 7*q + 5616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1469 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: How many minutes are there between 6:09 PM and 5:18 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 167*c + 6790. What is n(-41)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 204101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18555164519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eveeovievveevvvvqvvv. Give prob of sequence qee.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -12 (b) -1\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/2128 and 59\/12944848.\nAnswer: 245952112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3614, -7229, -10844, -14459?\nAnswer: -18074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cz when two letters picked without replacement from {o: 5, d: 1, z: 1, c: 1, v: 1, s: 3}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 438 = 4*b, -3*x + 3*b - 9 = 270. Let k = -54 - x. Does 14 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -17\/283 (b) -1\/6 (c) 4 (d) -4 (e) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 79591279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide ((-24)\/(-20)*1)\/((-15)\/(-400))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c*(c*c*c\/c**(1\/21))\/c*c*c)\/c*(((c*(c*c*c**(-19))\/c)\/c)\/c*c)\/c)**(12\/11))**(4\/5) assuming c is positive.\nAnswer: c**(-944\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2821069264895155.10899977 - -2821069290983508. Let v = s + -26088353. Let n = -0.109 - v. Round n to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6030\/7 + 861. Let g = -5 + 4.7. Sort g, -0.03, 3, j in decreasing order.\nAnswer: 3, -0.03, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 147*q**4\/2 + 28581*q**3\/2 + 5581407*q**2\/8 + 1188153*q\/4 + 254043\/8 = 0.\nAnswer: -97, -3\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of h**6\/120 - h**5\/20 - 7*h**4\/24 - h**3\/3 + 3*h**2. Is k(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 10:53 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -347 = -3*z + i + i, z + 5*i = 144. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 227828522?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -502c?\nAnswer: -502b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 705704?\nAnswer: 2, 17, 5189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, n: 16}. Give prob of sequence nnn.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sw when two letters picked without replacement from {z: 1, j: 2, u: 6, w: 5, v: 1, s: 2}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 209*(15040\/(-176) - -86)?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -10, -23, 4, -115 in descending order.\nAnswer: 4, 1, -3, -10, -23, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 135*j**4 + 365*j**3 - 90*j**2 - 530*j + 110. Let f(a) = -45*a**4 - 122*a**3 + 30*a**2 + 177*a - 37. Let d(b) = -10*f(b) - 3*s(b). Factor d(y).\nAnswer: 5*(y - 1)*(y + 2)**2*(9*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -181\/31353390 and 16\/135.\nAnswer: 94060170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5705.1378481598 - -0.4?\nAnswer: -5704.7378481598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((195\/(-20))\/(-13))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m = 4*m + 105912. Suppose -7*h + m + 6217 = 0. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2740 = 5*i, 57*n = -5*i + 56*n + 2720. What are the prime factors of i?\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 95933?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 7*u - 2. Let k(w) = w + 11. Let j(q) = q + 11. Let h(d) = -4*j(d) + 5*k(d). Let a be h(-9). Give x(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1397131*k*l**2 - 1538655*l**2 wrt k?\nAnswer: -1397131*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 28 = 2*q. Let b = q + 18. Suppose 2*f + 3*p = -600015, -b*p = -p + 15. What is f rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 165 and 39985.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40845092*0.5.\nAnswer: 20422546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-23643)\/(-148))\/(-71))\/(1\/(-8))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.35 and 6.7?\nAnswer: 22.445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 196, 392, 588, 784, 980?\n\"Answer: 196*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5 = 1. Suppose -h - 16 = d*h, -4*i - h = -4. Suppose 0 = i*m - 0*m - 8. Solve 5*j + 2*c + m = -13, -5*j + 4*c = 41 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 132542\/15 + -8836. Let v(d) be the first derivative of -32 + z*d**3 + 8\/5*d - 4\/5*d**2. Factor v(s).\nAnswer: 2*(s - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ijiiijiiijiiijiiiiij. Give prob of sequence iii.\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1305?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -151 - -153. Let u(d) = -36*d**2 - 386*d + 386*d + 9*d**r. Let y(f) = 2*f. Determine u(y(z)).\nAnswer: -108*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(65)\/(sqrt(5) + (4*sqrt(80) - sqrt(5)) - sqrt(5)) - 6*(5*(sqrt(91) + sqrt(91)*2))\/sqrt(7).\nAnswer: -1349*sqrt(13)\/15 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19439 is divided by 72.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 164.9 + -164.9. Let h = 3.2 - 4.9. Let k = -5.7 - h. What is the smallest value in 0.06, k, w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - 1)*42\/8. Let b be (-2 - 10\/8)*-188. Let v = u + b. Round v to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h**3 - 3*h**2 + 3*h + 7. Suppose -2*m - 4*w = -9*w - 21, 4*m + 4*w + 28 = 0. Determine x(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45372059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 33\/528*-16*(0 - 3) - (-68)\/2\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.06198 - 0.33772. What is x rounded to two dps?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (20\/(-6) - -5)*45. Let d = q + -75. Solve d*w + w = g + 6, -w = 4*g + 19 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**7*r)\/r*(r\/r**(3\/4))\/r*r**(-4\/9)*((r\/(r\/(r\/(r\/(r**(-1\/3)*r))*r)))\/r*r)\/r assuming r is positive.\nAnswer: r**(-235\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 396311?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28173 is divided by 9251.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*r**3 + 44*r**3 + 38*r**3 + 36*r**3 - 166*r**3.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 12:19 PM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 32, -2\/15, -7, -0.18, -6, 0?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -14. Let l = -56.38 + 61.343. Let t = 0.037 + l. Which is the second biggest value? (a) q (b) t (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c - 18. Let v be q(10). What is the third biggest value in 0.5, v, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 5*z**3 + 115*z**2 - 1530*z + 3960 = 0.\nAnswer: -33, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2872747.\nAnswer: 41, 70067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -5 - 0 - 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*y**2 - 24295*y + 556140 = 0. What is y?\nAnswer: 23, 4836","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 4*o + 19 - 16 + 42 = 0, 5*t - 4*o - 96 = o + 4*o for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -85, 0.1?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**4\/7 + 13302*t**3\/7 - 11460*t**2 - 1332504*t\/7 - 319680 = 0. Calculate t.\nAnswer: -4440, -6, -2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 545276585?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 624 and 62057073?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, h: 2, a: 2, x: 1, b: 1, d: 7}. Give prob of sequence ddal.\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 53*b**3 + 68 - 34 - 35 in the form r*b + f + w*b**2 + o*b**3 and give o.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4563 (base 8) to base 7.\nAnswer: -10024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 23 = 3*p. Let l(n) = -3*n - 11. Let u be l(p). Find the common denominator of 45\/14 and u\/(-6) - 2\/(-6).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(-3\/8)*a))**(-3\/2)*(a*(a**(-6)\/a)\/a*a)\/(a*(a\/((a**33*a*a*a)\/a))\/a))**(-2\/43) assuming a is positive.\nAnswer: a**(-439\/344)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - -6)*6\/9. Suppose -w*t - 4*p - 36 = -2*t, 48 = -5*t + 4*p. Let g = t + 28. What is the least common multiple of 14 and g?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 9*f - 57. Let o be m(-11). Are o and -34 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -776*s + 819 = -772*s + 5*l, s - 189 = 4*l. Solve 8*b - 153 + s = 0 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 5*m + 18. Let w(s) = 5*s + 17. Let y(b) = -2*p(b) + 3*w(b). Let z be y(-4). What is the third biggest value in z, 2\/9, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42 (base 10) to base 14.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*i + 4*i. Let l be (5\/(-4))\/(i\/80). Solve 3*y = -y + 2*p, 5*p = l for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*u - 12*u - 12. Let f(d) = -6*d - 3. Let y(i) = -18*i - 10. Let n(c) = 74*c + 676. Let g be n(-9). Calculate g*f(r) + u*y(r).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 132159.506 to the nearest 10.\nAnswer: 132160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kqe when three letters picked without replacement from {k: 6, q: 3, e: 1, g: 1, a: 1}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -32, -112, -244, -428, -664, -952?\n\"Answer: -26*z**2 - 2*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236*v - 713 = -2*b + 1173, -3*b + 4*v = -6*b - 0*v + 29 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 1 - 2. Suppose -2*p + x - 11 = 0, 2*x + 3*x - 11 = -p. Suppose 6 = 7*b - 15. Put p, 2, b, h in ascending order.\nAnswer: p, h, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 70 + 19. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -751249 divided by 32663?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-6)*(-27)\/(-24). Let a be (1*(1 - 0))\/((-11)\/11). Do a and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 9*a**2 + 7*a - 5. Let p be v(-6). Let u = p + 28. Suppose 10 + u = 3*y. Is 12 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1056227, -2112442, -3168657, -4224872?\nAnswer: -5281087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.5082 + -6342?\nAnswer: -6354.5082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h + 13*h = 13*h + 100170. Does 75 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2171 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115118 - 45303 = 5*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 1149906609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 360 - 229. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2162 and 1817?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1750\/876 + (-2)\/1. Let b = n - -4052\/219. Find the common denominator of 19\/11 and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 12*f**2 - 5*f + 2. Let i(n) = 0 + 178*n - 182*n + 1 + 11*n**2. What is -3*i(a) + 2*r(a)?\nAnswer: -9*a**2 + 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l - 1. Let m be u(3). Is (-2)\/10 + 5 + 811\/m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 613496 and 3470?\nAnswer: 694","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98424.\nAnswer: 2, 3, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t - 1. Let c(k) = 0 - 8*k + 5*k + 4. What is c(j) + 4*x(j)?\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -84 - -88. Which is the second smallest value? (a) 1 (b) v (c) 0.5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 - 2*n + 3*n)*(5 + n**2 - 5 + (7*n - 2*n - 3*n)*(1 - 1 - n)).\nAnswer: -n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3737632212 to the power of 1\/3, to the nearest integer?\nAnswer: 1552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16472844 and 4980.\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**2 - 2*m - 1. Let j(a) = a**3 + 132*a**2 + 4767*a + 3. Let b(h) = -2*j(h) - 6*n(h). Factor b(c).\nAnswer: -2*c*(c + 69)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + 15*p + 8. Let f(n) = -3*n - 4. Let v be f(-2). Suppose v + 14 = 2*m. Calculate the remainder when d(m) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -11*f**10\/50400 - 53*f**6\/720 + 7*f**5\/12 + 6*f**2. Let a(m) be the third derivative of c(m). Differentiate a(s) wrt s.\nAnswer: -132*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-4034.54\nAnswer: 1210.362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b**2 - 4*b - 2. Let n be w(2). Let h = 4 - n. Let z be h - (0 + -2 + -18). What is the greatest common divisor of 55 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 83419925?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -172*x + 5604. Calculate l(33).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5818128?\nAnswer: 2, 3, 53, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 - -0.09947. What is u rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -848 and 3.1.\nAnswer: -2628.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/2)\/4*20\/(-40)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34605*q**2 + 212*q - 29.\nAnswer: -69210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15\/(-3 - (-4 - 0)). Let a(v) = -8*v + 3*v - m*v. Let z(c) = -c**2 + c - 1. Let d(x) = 8*x**2 - 10*x + 10. Let r(g) = -d(g) - 10*z(g). Give a(r(t)).\nAnswer: -40*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jffojmmjjfjojjjoj. What is prob of sequence ojjm?\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/13732 and 15\/266.\nAnswer: 1826356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 208\/9, 5, 3, -1.6, 1\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g + 1. Let z(m) be the first derivative of -m**2\/2 - m + 1. Let c be 30\/(-36) - (-1)\/(-6). Determine c*j(h) - z(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 = 4*w + 141. Let d(n) = 10*n**2 + 14*n + 20. What is the remainder when d(w) is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j - 17 + 3 = 0. Suppose 2*o + 9 = j. Let v(r) be the second derivative of -r**5\/20 - 5*r**4\/12 - r**3 - 2*r**2 - 2*r - 22. Calculate v(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - l - 21, 2 = -2*l - 0. Suppose -127 = -4*g - z*j + 353, j + 360 = 3*g. What is g rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a\/((a*(a**(-12)\/a)\/a)\/a*a))*a**(-2\/11))**(-21\/4))**(-2\/3))**(14\/5) assuming a is positive.\nAnswer: a**(-1421\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252 is divided by 75?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 > -4044?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/9)*w**(-2\/17)*(w**(2\/7))**(1\/9)*(w\/((w\/(w*w**(-1\/3)))\/w))**(-41)\/(w\/w**(2\/9))**(13\/3) assuming w is positive.\nAnswer: w**(-231374\/3213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2 + 11*u + 28.\nAnswer: (u + 4)*(u + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 11\/(572\/43520) + (-5)\/(-65). Suppose 0 = -35*h - 67 + v. Solve -24*i + 6 = -h*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, y: 2, j: 11}. Give prob of sequence ay.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q - 16371*t + 16374*t - 7, -5*t + 15 = -5*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18976*v**6 - 2*v**5 - 27145*v**2 wrt v.\nAnswer: 2277120*v**3 - 120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + 3 - 4 - -1561)\/1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 6*y - 9. Let h(j) = 30*j**3 - j**2 + 4*j. Let t be h(2). Let b be t\/36 + ((-30)\/(-27))\/5. Determine r(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - f = -o + 879998, f = 2*o + 220004. What is f rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1000 = -4*m - 5*r, -2*m + 3*r + 233 = -m. Suppose l = 6*l - m. Let w(y) = y**3 - 3*y**2 - 3*y + 13. Calculate the remainder when l is divided by w(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - 6959*p + 4252928. Give q(677).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 5*g = -3. Find the second derivative of 4*w + 5*w - w**2 - 6 - 4*w + 26*w**g - 5*w**3 wrt w.\nAnswer: 126*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62291 (base 11) to base 12\nAnswer: 446aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pkpd when four letters picked without replacement from {h: 2, d: 7, c: 1, p: 4, g: 3, k: 1}?\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8452 + -126706\/15. What is the common denominator of h and -69*56\/(-3465) - (-10)\/25?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, 5, 60373\/5, 11 in decreasing order.\nAnswer: 60373\/5, 11, 5, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-1 + (2 - 2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30 - -85. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 8*g**2 + 2*g + 4. What is the units digit of d(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2788.941 grams in micrograms?\nAnswer: 2788941000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-128)*-20 - (-4809)\/3892. What is the fourth biggest value in z, 0.2, 0.3, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -603811889*q**2 + 300858262 wrt q.\nAnswer: -1207623778*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -m**4\/36 - m**3\/18 + 2*m. Factor i(t).\nAnswer: -t*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3*y = 8. Let r be (-3063 + (-6)\/(-3))\/(-5 - y). Suppose d - 605 = -2*f, -5*d = 3*f - 2*f - r. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (590\/(-12980))\/(2\/(3\/(-3))*(-1)\/4)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -337*d**2*g**2*t**2 - 5428*d**2*g*t**3 + 25*d**2*t**2 - d**2 - 72288*d*g**2*t**3 - 9*d + g*t**3 - 4*g*t**2 - 1 wrt g?\nAnswer: -674*d**2*t**2 - 144576*d*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -11010111100110?\nAnswer: 11010111100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h**3 - 2*h**2 - h + 2. Suppose -3*c = -39 + 45. Calculate v(c).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17051.\nAnswer: 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*l - 17*l - 28 - 8 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 p when four letters picked without replacement from {p: 3, t: 3, n: 4, m: 1}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20528 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*q**4 + 4*q - 9*q**3 + 3 + 42*q**4 - 3*q - 38*q**4 + 2*q**3 in the form d*q**3 + f*q**2 + r + v*q**4 + j*q and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 750 equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 27.703 (b) -0.01 (c) -1 (d) 0 (e) 1 (f) -2\/15 (g) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -1. Let j = -0.24 + -2.76. Which is the closest to s? (a) j (b) -0.3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 18 + 44 = -78*q + 74*q, 2*q = -5*f + 26 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 - 22*l - 24. Suppose -2*m - 19 = 1. Is 32 a factor of w(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-95)\/(-15) + (-2)\/6. Let k(i) be the second derivative of i**5\/20 - 5*i**4\/12 + 3*i**3\/2 - 9*i**2\/2 + 2*i + 5. List the prime factors of k(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -307440*l**5 - l**4 - 25*l**3 - 7*l**2 - 1508127*l - 5?\nAnswer: -18446400*l**2 - 24*l - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22958838 a multiple of 771?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8278*m**6 - m**2 - 15234?\nAnswer: -993360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 3*y**2 - 8*y + 7. Let o be f(2). Which is the biggest value? (a) -3 (b) 1.01 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.04 - -2.04. Let p be (-2)\/(-4)*(2 + 4). Suppose o + p = 2. What is the nearest to o in w, -1\/2, 0?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, r: 1, m: 2, f: 2, h: 1, i: 1}. What is prob of sequence rit?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*u = -5. Let r be (-2)\/((-4)\/(-2)) + u. Let s(n) = -n**3 + 5*n**2 - 3*n - 4. Determine s(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 + -22.4. Which is the third smallest value? (a) 26 (b) s (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -114 - -114. Let c = -851\/2 - -427. Factor w*g - c*g**3 + 3*g**4 + 0*g**2 + 9\/2*g**5 + 0.\nAnswer: 3*g**3*(g + 1)*(3*g - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**0)**9)**(1\/58)\/(((p*p**(-9))\/p)\/((p*p**(-1))\/p)*p**(-2\/9)*p**8\/p) assuming p is positive.\nAnswer: p**(719\/522)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 37 and 336.8186.\nAnswer: 12462.2882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {o: 3, b: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 61 = -2*f - f, 4*f - 68 = 4*s. Suppose -5*g - 75 = -5*x, 8*x - 13*x - 5*g = 55. Put -1, s, x, 4 in ascending order.\nAnswer: s, -1, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*s = 37, -i - 29 = 2*s - 0*s. Let x be (12\/i)\/((-12)\/42). Let k = 2\/9 + -13\/18. Which is the second biggest value? (a) k (b) 0.01 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 25\/(-10)*2\/(-5). Let k = 4 - n. What is the remainder when 22 is divided by -2 - k\/(3\/(-14))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*a**2*i**4 + 337*a**2*i**2 + 14*a**2*i - 9*a*i - 3*i wrt i?\nAnswer: 156*a**2*i**2 + 674*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-1))**(-3\/5)\/((r**21*r*r)\/r)**(-22) assuming r is positive.\nAnswer: r**484","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000108814 to six decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 142269.\nAnswer: 1\/142269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-10 + 4 - 1) + -15 + 14 + 15\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-4)\/i)\/(i*i\/i**(6\/23)*i))\/(i\/(i\/(i\/i**(2\/19))*i))**(2\/9) assuming i is positive.\nAnswer: i**(-30346\/3933)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 23 (b) -5 (c) -0.2 (d) 173\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2716671975 to the power of 1\/2, to the nearest integer?\nAnswer: 52122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 2. Suppose -1 = s*u - 16. Suppose u*o - 1 = 9. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 + 0)*(-5*r**3 - r**3 + 3*r**3) - 4*r**3 + 7*r**2 - 7*r**2 - 2*r to the form w*r + n*r**2 + h*r**3 + t and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-96)\/(-56)*(-539)\/(-44). What is the highest common factor of 2163 and b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.247575511 rounded to 2 dps?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - ((-2)\/9 - (-28)\/(-36)). Suppose j - t*u = -j - 16, -2*u = 5*j + 16. Let s(f) = f**3 + 10*f**2 + 0 + 4*f - 5*f**2 + 1. Give s(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 6 = -3*t, 0 = 5*t + 5*z + 545 - 535 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x**3\/11 + 8*x**2\/11 + 17*x\/11 + 10\/11 = 0. Calculate x.\nAnswer: -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -6*c**2 - 6*c + 4. Let s(n) = -3*n + 13. Let w(g) = 13*g**2 + 7*g + 17. Let r(z) = -2*s(z) + w(z). Determine 4*r(d) + 9*t(d).\nAnswer: -2*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 340050904.\nAnswer: 2, 19, 31, 72167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -eb + -605?\nAnswer: -701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.311 * -3\nAnswer: -0.933","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 3*s. Let y(f) = -1027*f**2 + 868*f. Let l(h) = -18*c(h) - 2*y(h). What is the second derivative of l(i) wrt i?\nAnswer: 4072","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 13\/(-260)*6 - (-80974)\/(-20). What is w rounded to the nearest 100?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 43*d + 176. Determine c(39).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = j - 75. Is j a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -83*n**2 - 4*n - 3. Let q be j(-1). Let d = 82 + q. Factor -y**2 + 3*y - 4*y + d*y + 6.\nAnswer: -(y - 2)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11363119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 126 - 178. Suppose 3*q - q + 226 = 0. Let b = u - q. Is 9 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 6187\/11470?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 89502 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 6*n + 0*n - 2*n. Let z(w) be the second derivative of w**3\/6 - 726*w. What is z(d(a))?\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 898 and 125286715?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4161?\nAnswer: 3, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - p + 5*o + 26, 3*o = -12. Solve p*u = 14*u - 24 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = p - 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -22 (b) -2 (c) -845 (d) 63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s - 14. Let m be -2 + -1 - (-9)\/1. Let v be 5 + -14 - (-6)\/m. Determine j(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/16930 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 923*m - 5. Let b(c) = 949*c - 6. Give -3*b(s) + 4*k(s).\nAnswer: 845*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5080540483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 1950 = -4*j + 1977, 3*k - j = 23 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -10) + 2 + -12?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 344138 + -6542933\/19. Let b = -227 - a. Sort 0, b, -0.4.\nAnswer: -0.4, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 228 (b) 2\/359 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, 5, 43, 117, 239, 421, 675?\nAnswer: 1013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37 - -40. Let m(d) = -3*d - 4*d - 4 + j*d - 4*d + 9*d. Let o = 7 + -4. Calculate m(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101110100101 + 100101000101?\nAnswer: -1001100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 2 h, and 1 p when four letters picked without replacement from {p: 6, e: 2, h: 3, u: 2, n: 3}.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 0.2 (c) -117887 (d) 1\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*k + 6*k + 35 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 367357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 4*v**2 + 4*v - 9. List the prime factors of j(3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 67821 and 7943.\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -5*d + 1 - d**3 + 21*d**2 - 28*d**2 + 1. Let a be t(-6). Which is smaller: -7\/2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 25313293 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 73.4 - -91. Round d to the nearest ten.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 345 divide 8400424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -3*m**3 + 704370*m**2 + 3*m - 704370 = 0.\nAnswer: -1, 1, 234790","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -231 - -233. Solve c*j - 25 = -29 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) 3 (c) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 5 + 5)*(8003 - 152*d - 8003).\nAnswer: -912*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 64817 to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 9*o + 9. Let j be c(8). Is j + 3 - (-3)\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 82 + -5. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-29 - -16) + -4 + 3 + 5\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6877\/930 + -1\/186. Sort -1\/8, w, 0.\nAnswer: w, -1\/8, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32737919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*i - 275 + 113. Calculate the highest common divisor of 1629 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6240 divided by -6\nAnswer: -1040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 80203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*a - 6 = -19*a. What is the first derivative of 3*b**3 + b**3 - 9*b**4 - 4*b**a - 14 wrt b?\nAnswer: -36*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from {z: 5, i: 12}.\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -11 (b) 4\/3 (c) -3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 35 + -e2?\nAnswer: -ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15\/20*4*3. Solve -3*o + 3 = -l for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1174 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(11 + 201\/(-18)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 269 - 222. Suppose -u + 51 = 2*a. Suppose -v + 15 = 2*v. Solve a*s - v - 3 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 179842 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)*-3)**2.\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(272) - (-1 + sqrt(272) + 3)**2) + 2 + (sqrt(272) - sqrt(272)*1) + (-1 + sqrt(272) + sqrt(272))*2 + -5).\nAnswer: -4*sqrt(17) + 281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/11620 and 22\/175.\nAnswer: 58100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 243\/9*(-32)\/72*-1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from xvjxbvwxxxxvxxbxxx.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uauooouaoauoaouo. Give prob of sequence oa.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13758913 + 6*t**3 + 6*t - t**4 + 13758918 + t**2 + 4*t**4 - t**2 to r + x*t + z*t**3 + n*t**2 + f*t**4 and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 9. Suppose 0 = -g - 0*g + b. Let h(y) = y**2 - 5*y + 4. Determine h(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24702 and 20048.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7340473 by 57799.\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 9:28 PM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7, c: 4}. What is prob of sequence cc?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 4*c**2 + 4*c - 3. Let f(q) = q - 1. Let w be f(-4). Is z(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (64 - 64)*(-3)\/(-6). Let q = 87 - 61. Solve -2*r - r - q = -5*j, w = 2*r + j for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4))**(1\/17)\/(c*c**(2\/37)*c**(-2\/15)) assuming c is positive.\nAnswer: c**(-10907\/9435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 0) + (3 - (8 - 6)) - -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/2275669 and 53\/413758.\nAnswer: 4551338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 11:49 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -13.42924 + 3\nAnswer: -10.42924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 107756 to the power of 1\/2, to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 x when two letters picked without replacement from {r: 3, x: 1, g: 1, d: 7}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 2, 42, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 7, -2, 0 in decreasing order.\nAnswer: 7, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55493 and 263.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + s**2 - 1 + (0 + 4 - 5)*(14*s + s - 7*s)*(2*s - s + 0*s))*(4*s - 2*s**3 + 5*s**3 - 2*s).\nAnswer: -21*s**5 - 14*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 378\/143 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 1:53 AM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18566 - -0.4?\nAnswer: 0.58566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/((-8)\/10)*(-93)\/155?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 667.463252 rounded to one decimal place?\nAnswer: 667.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(28)\/sqrt(32) - sqrt(14))\/(sqrt(343)*-2) + 2 + ((sqrt(98) + 1)**2 + -5 + sqrt(98) - sqrt(98)) + 3.\nAnswer: 787*sqrt(2)\/56 + 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, l: 2, x: 8, f: 2}. Give prob of sequence bbfb.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 4:57 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u - 6. Let s be r(4). Suppose -30 = 5*b, -4*l - 6*b + 3*b + 82 = 0. Calculate the remainder when l is divided by (-2)\/s*(1 - -8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uca when three letters picked without replacement from uhquafchfffhf.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 8*b**3 - 2*b**2 + b. Let w be n(1). Suppose -589 = o - 632. Let j(i) = 70*i - o*i - 6 - 26*i. Determine j(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*8\/(-1944)*(-6)\/(-1).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = x - 2*x. Let t = x - -31. Solve t = 5*j - 19 - 1 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 669 * 1210.49.\nAnswer: 809817.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2310 + -2386 - (-1)\/(-1 + 24\/27)\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.622, -28, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h - 2. Let m be i(-6). Suppose m*x + 75639 = 13043. Let n = -5649 - x. Round n to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.034 to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 167444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 651, 2578, 5781, 10260, 16015?\n\"Answer: 638*w**2 + 13*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.327643ug to nanograms.\nAnswer: 8327.643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 0. Let z(s) = -s + 3 + 1 + t. Let d be z(6). Solve 0 = h - 4*x - 5, -3*h - 17 = -d*h + 4*x for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1221 + -3?\nAnswer: -1224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + 533*a - 266*a + 23 - 287*a. Let o be i(-21). Suppose 5*r + 3 = -17. Sort o, r, 16 in ascending order.\nAnswer: r, o, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 3 + 65. Let l = 2 + 5. Calculate the remainder when 2\/7 - (-222)\/l is divided by j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 4:18 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -5*m - 1. Let t be o(-1). Suppose -2*p = -z - 37, 42 = -z - t*p - 13. Round z to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 3*q + (76 - 76 + 12*q)*((3 - 5 + 1)*(-2 + 4 + 0) + 5 - 2 - 1 + 4 + 1 - 3))*((-5 + 4 + 2)*(0 + 0 + q) + 3*q - 3*q + q - 3*q + 4 - 4).\nAnswer: -21*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18 + 15*f + 16*f**2 + 6*f**3 + 0*f**3 - 10*f**2 - 9*f**3.\nAnswer: -3*(f - 3)*(f - 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1029231.\nAnswer: 3, 7, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2714 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36516 and 7276?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.63 - 3.8. Let h = 0.1601 + d. What is h rounded to 3 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3, 35, -142, 2\/87?\nAnswer: -142","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2\/2 - 39765*k + 716013\/2.\nAnswer: -3*(k - 9)*(k + 26519)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.012, -277, 0.3 in descending order.\nAnswer: 0.3, -0.012, -277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/1 - (-4 - -1)) + -6. Suppose 1 = -2*k + 5. Put k, -2, g in ascending order.\nAnswer: -2, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 309 + 0?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 - 12. Let j = 70 - d. Is 11 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -5*t + 140. Suppose t + 30 = 5*c. Calculate the highest common divisor of c and 351.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (168\/441)\/((-6)\/9)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x + 12. Let j be u(5). Suppose 5*m - j*m - 4*h = 153, 116 = 2*m + 2*h. List the prime factors of m.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 5*f = 88, 5*c + 7*f = 2*f + 190. Let o = 294 + -192. What is the greatest common divisor of o and c?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -8*z - 3. Let n be l(-9). Suppose -2*i - 5*k + 102 = 0, 5*k - 190 = -4*i + 2*k. Calculate the highest common divisor of i and n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of 0*g**7 + 0*g + 0 + 0*g**6 + 0*g**4 + 0*g**3 + 4*g**2 - 1\/10*g**5 - 1\/48*g**8. Find the third derivative of z(t) wrt t.\nAnswer: -420*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114)*-1 + sqrt(114))*3 - (sqrt(114) - sqrt(114)*2*-2))\/(((sqrt(72) - sqrt(72)*1) + sqrt(72) + sqrt(72))\/sqrt(12) - -2*sqrt(216)).\nAnswer: -5*sqrt(19)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 43, -5, 4 in ascending order.\nAnswer: -5, -1, 4, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*c**6 + 2*c**4*k + 93*c**3*k + c**3 - 2*c**2 - 433*c*k - 5 wrt c.\nAnswer: 840*c**3 + 48*c*k + 558*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -17 + 19 + (-1 - (2 - 2))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dsstddod. What is prob of picking 1 t and 1 s?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (61 - 76 - 95) + 57.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19043 + 61961 = 2893*v for v.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 8. Let n be ((-2020)\/6)\/(8\/f). Let h = n - 167. Which is the second biggest value? (a) h (b) 0.5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 18*h**3 + 14*h + 20. Let r(v) = 7*v**3 + 4*v + 7. Give -7*r(a) + 2*s(a).\nAnswer: -13*a**3 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/100)\/(4\/(-10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 3 - 1)*(-2*s + 0*s - s) + s + 2*s + s)*(s - 5*s + s).\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = 2*x - 7, -2*g = -0*x + 3*x + 18 - 56 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1798, -1797, -1796?\nAnswer: -1795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(152) - (sqrt(152) + sqrt(152) + -2*sqrt(152) + sqrt(152)) - sqrt(152)))\/sqrt(8))**2 + 0 + sqrt(171)*-3.\nAnswer: -9*sqrt(19) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p - 11. Let i(d) = -3*d - 32. Let a(v) = -6*i(v) + 17*t(v). Let b be a(-2). Let y be 18\/(-27) + 14\/b. Solve 2*k = y*s, 3 + 0 = -5*s + 4*k for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*j + 22*j = 2*l + 11, -4*j + 2*l + 26 = 0. Is 13 a factor of -1*(-4 - 1)\/j*149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -77*d**3*j**3 + 2*d**2*j - 2*j**3 + 103*j**2 wrt d.\nAnswer: -462*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.9849 + 0.9849. What is the second biggest value in 1\/2, 0.061, z, -2?\nAnswer: 0.061","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4233440101 (base 5) in base 7?\nAnswer: 135364305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1610305*a**4 + 4*a + 139367 wrt a.\nAnswer: -19323660*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(192\/(-196))*18*2\/126.\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 299 + 1113\nAnswer: 1412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 1:31 AM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5878 - 189*k - 5882 + 27*k to m + b*k and give b.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*((-18)\/54)\/((-3)\/3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 14 - 1)*(10*i**2 + 2*i**2 - 4*i**2)*(i + 2*i - i)*(-1 + 3*i + 0 - 2*i).\nAnswer: -208*i**4 + 208*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(512)*-5)\/sqrt(4).\nAnswer: 160*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -51878 less than or equal to -51916?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -132 times 6.9\nAnswer: -910.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 10*i**2 + 2*i - 16. What is the remainder when 12 is divided by u(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 77.79831 kilometers?\nAnswer: 7779831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/9)*d**(-9))**15 assuming d is positive.\nAnswer: d**(-395\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2752 and 256?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1274 and 7295561?\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -689347878 divided by -8015673\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 219?\nAnswer: 2\/219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 51303372.\nAnswer: 5\/51303372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 s when four letters picked without replacement from ysysysyy?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-2)*68284\/129. Let w = l + 264. Sort 0.4, w, 1.\nAnswer: w, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 12:32 AM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 16 = 2*v + 3*v, 2*g = 2*v - 8. Sort v, 5, 449.\nAnswer: v, 5, 449","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -632*c + 3 - 3.\nAnswer: -632*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 e when four letters picked without replacement from {y: 7, q: 1, a: 1, e: 4, h: 2, t: 3}.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-89)\/89)\/(0 + (-3)\/(-27)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-22)\/(-6) - 4\/(-12). Suppose -5*i = 32 - 7, t*j - 4*i - 268 = 0. Suppose -p + 35 + j = 0. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/2*(-12)\/20.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-2)*3\/54?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -258 = d + 3*d + 3*k, d - k = -61. Let m = -54 - d. Suppose 256 = 4*b + 52. Calculate the smallest common multiple of m and b.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*q + 216 - 422 + 205 in the form o + d*q and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 8:02 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5*(-2 - -1)*6555\/(-69). Which is smaller: j or 471?\nAnswer: 471","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/20 of a gram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 193 - -446. What is the highest common divisor of 18 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 36, 1\/3, 3, 0.5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 20\/14*(-2)\/(-5). Let i(q) be the first derivative of -1\/7*q**2 + 0*q - 9\/14*q**4 + 2 - r*q**3. Factor i(l).\nAnswer: -2*l*(3*l + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - 10*i - 14. Let d be f(-7). Let u = d - 3. Solve -3*s - 16 = 2*s + 2*n, -u*n = 4*s + 8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66 (base 7) to base 11\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of 18*g**2 + 0*g + 1\/40*g**6 + 0 - 1\/8*g**4 + g**3 - 3\/20*g**5 + 1\/70*g**7. Factor l(y).\nAnswer: 3*(y - 1)**2*(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 33? (a) -20\/7 (b) 40 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1292 and 510.\nAnswer: 19380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 30*42\/20*(-12)\/7. Let g be ((-26)\/(-4))\/((-18)\/n). Calculate the highest common divisor of 156 and g.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -f**3*u - 172*f*u - 7*u + 19 wrt f?\nAnswer: -3*f**2*u - 172*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 2*z - 29 = 4*t, 5*t - 8 + 18 = 2*z for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -85\/306746 or -1?\nAnswer: -85\/306746","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/9)*d)\/(d\/d**(5\/2)))**(-10\/9) assuming d is positive.\nAnswer: d**(-245\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 3*m**2 + 4. Let l be i(-3). What is the derivative of 6 - l*b**3 + 7 - 2 - 5 wrt b?\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**4\/7 + 12*g**3 + 159*g**2\/7 + 78*g\/7.\nAnswer: 3*g*(g + 1)**2*(g + 26)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of m**3\/3 - m**2 + m + 3. Let f be p(3). Suppose -70 = -f*g + 2*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 9:39 AM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 38616337 to the power of 1\/2, to the nearest integer?\nAnswer: 6214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - 7*w - 29. Let g be u(10). Let j(o) = -g - 2*o**3 - 22*o + 9*o + 11*o. Let i(b) = -4*b**3 - 4*b - 2. What is -3*i(m) + 5*j(m)?\nAnswer: 2*m**3 + 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*d**2 - 12*d - 19*d + 31*d.\nAnswer: -40*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 3, 2, -51, -1, -9 in descending order.\nAnswer: 6, 3, 2, -1, -9, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 632149.\nAnswer: 7, 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14321622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 68023.23 hours?\nAnswer: 2834.30125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that g**3\/9 + 35038*g**2\/3 + 3431323*g\/3 + 252143416\/9 = 0.\nAnswer: -105016, -49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3250361 and 13077.\nAnswer: 1453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 30, 42?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -188974*h**4 + 58*h**3*w + 25*h*w - 3*h + 661*w - 13 wrt h?\nAnswer: -2267688*h**2 + 348*h*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -9983730.\nAnswer: 9983732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9899972 = -3*v - 5*i, -2*v + 3*i = 3*v - 16499976. Suppose 2*h + v = -f, 5*h - 6600015 = 3*f - f. Round f to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 15*m - 78. Let j be ((-22)\/(-8))\/((-5)\/20). Let c be w(j). Which is greater: -164\/5 or c?\nAnswer: -164\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 26 + 208 = 0. Calculate the common denominator of 25\/18 and (-1 - 8)*(-3)\/u.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 22 + 0)*(-1 - 3 - 1)*(1 + 5*q - 1).\nAnswer: -300*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s + 4250. Let o(j) = -4*j. Give d(o(z)).\nAnswer: -8*z + 4250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2583, 10487, 23661, 42105, 65819, 94803, 129057?\n\"Answer: 2635*o**2 - o - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -288828330 divided by -21\nAnswer: 13753730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + 8*n + 9. Let s be v(9). Suppose s*i + 184 = 4*i. What are the prime factors of i?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 4*d**3 + 2*d**2 + 3. Let r(g) = 13*g**3 + 7*g**2 + g + 9. Let p be (65 + -52 + 99\/(-6))\/((-2)\/4). Give p*m(t) - 2*r(t).\nAnswer: 2*t**3 - 2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1310*q = 1136*q - 1914 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1299*k + 460887 - 521940 = 0 for k.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7160*l**4 + 90*l**2 + 2818335*l?\nAnswer: -85920*l**2 + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18983 and 63894.\nAnswer: 2619654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vrrzcrzczrarra. Give prob of sequence rrc.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2872.768 and 0.06.\nAnswer: 2872.828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j. Let w(v) = -v + 85. Let b(y) = 4*r(y) - w(y). What is b(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_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: Simplify (5*(5*(2 + sqrt(19) + 0)*-5 + ((sqrt(1216) + 2 + sqrt(1216))*-1 - sqrt(1216)) + sqrt(1216) + (2 + sqrt(1216) + sqrt(1216) + sqrt(1216))*-3))**2.\nAnswer: 327700*sqrt(19) + 6149375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzgzzg. What is prob of picking 2 g?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -528, 5, -3, -4, -62 in increasing order.\nAnswer: -528, -62, -4, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 13 = -115. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -904.69 - -25.\nAnswer: -879.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1734 less than 1769?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 5*b**2 + 141*b. Let x be -7*(-26)\/91 - (-2 - -1). Let p(c) = -2*c**2 - 48*c. Let s(y) = x*i(y) + 8*p(y). Let v(z) = 2*z**2. Give s(v(n)).\nAnswer: -4*n**4 + 78*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1241 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dsdsmssmmmdmmdm. Give prob of picking 2 d and 2 m.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of t**5 + t**4 + 374*t**3 + 52002*t?\nAnswer: 20*t**3 + 12*t**2 + 2244*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millisecond in microseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80 - 30*s - 4*s - 17*s + 12*s.\nAnswer: -39*s + 80","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2262, -4710, -7352, -10194, -13242, -16502, -19980?\nAnswer: -23682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 4. Let u(a) = -a**2 - a + 3. Let m(y) = -y**2 - 1. Let o(z) = -3*m(z) - u(z). Let v be o(1). Solve i + 3*x = v*x + 5, -3*i - g*x = 40 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -48 + 136. Let d = 58 - h. Round d to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/5))**(-39)*(p**(1\/4))**(-11)*p*p\/(p*p**0)*p**4*p**0\/p**(-4) assuming p is positive.\nAnswer: p**(-187\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120 and 30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 5 + 17. Calculate the greatest common divisor of f and 176.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - (1 + 0 - 2). Let j = k - -19. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i**4\/7 - 388*i**3\/7 + 31000*i**2\/7 - 119216*i\/7 + 16800 = 0 for i.\nAnswer: -150, 2, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + i + 17. What is a(8)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -110100?\nAnswer: -110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19707888 and 7552.\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11185 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of g**8\/1680 + g**5\/60 - 2*g**3\/3 + 1. Let b(h) be the third derivative of r(h). What is the second derivative of b(k) wrt k?\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*w = -36*w - 5*o - 33, 2*o + 23 = 11*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 755*x**3 + 732*x**3.\nAnswer: -23*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28 and 1346037?\nAnswer: 5384148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from llgllggllgggggllllgg?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3497.85 months?\nAnswer: 2.914875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17126631 - 17126631 + 86*b**2.\nAnswer: 86*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 508 - 330. What is the least common multiple of 1\/((-3)\/6)*-4 and n?\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jlll when four letters picked without replacement from iliijiiillliijl.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 2 - (3 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1629 + -5?\nAnswer: 1624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 8, r + 5*l - 22 = -0*r. Suppose 5*h = -3*f + 1 - 2, r*h = -3*f + 5. Put 7, 1, f, 2 in decreasing order.\nAnswer: 7, f, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 957076989754.6 and -3.\nAnswer: 957076989751.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -38*f. Let a(s) be the first derivative of s**4\/12 - 26*s - 51. Let g(k) be the first derivative of a(k). Calculate g(b(d)).\nAnswer: 1444*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-3 + (-14)\/(-3)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -92 + 48. Let a = v + 10. List the prime factors of 25\/(-10)*a\/5.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(1\/4))\/(u*u**5*u))\/(u*u**(-2\/13)*u**(2\/5))*(((u\/(u\/(u\/(((u\/(u\/u**0*u))\/u)\/u))))\/u)**50)**49 assuming u is positive.\nAnswer: u**(1909051\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -10623?\nAnswer: -5\/10623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 + -20. Let y = -674 + 673.92. What is the fourth biggest value in a, -2\/13, -0.4, y?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*m**3 - 8*m - 8*m - 41*m**3 + 14*m as b*m + c + o*m**3 + f*m**2 and give o.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 60 + 69 - 105 = 2*z - 36, 305*z = 4*l + 6726 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32550 and 525.\nAnswer: 32550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m + 2. Let d be c(-2). Let x(p) = -p + 5. What is the units digit of x(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 124 and 17546.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a meter in centimeters?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -190 divided by 2.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/6068637009?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -725*s - 12640 = 65*s for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of h**5\/6 - 2905*h**4\/8 - 8725*h**3\/6 - 2*h**2 + 40*h - 2. What is b in p(b) = 0?\nAnswer: -1, 1745\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.19 + 1.09. Sort y, -2, 2\/5.\nAnswer: -2, y, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-22)\/(2*2\/(-16)). Suppose -4*u = -5*y - 78, y - u = -y - 33. What is the common denominator of 52\/3 and l\/y + 2 + -3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298.576 - 3?\nAnswer: 295.576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v**2 - 12489074*v + 12489074*v + 0*v**2 - v**3.\nAnswer: -v**3 + 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of -g**7\/504 + g**6\/720 - 3*g**4\/4 - 18*g. Let q(k) be the third derivative of h(k). Factor q(w).\nAnswer: -w*(5*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -12 + -12 - -27 - (42 + -1).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -123 (base 4) in base 14?\nAnswer: -1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 m when three letters picked without replacement from xmmmxxx.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*l = 446, 3*b + 5*l - 466 = 148. Let z = -35 + -105. Let k = z + b. Calculate the remainder when k is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5*6\/(-18)*(-12)\/(-20). Let a be ((-24 - -14) + 2)*(-27 + b). What is the greatest common divisor of a and 520?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, v: 4, w: 1, n: 5}. Give prob of sequence nsw.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**4 - 1142*i - 3 - 2*i**2 - 1147*i - 1162*i + 3461*i as q*i + o*i**3 + m*i**2 + h*i**4 + w and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 6163 divide 566003757?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -385\/18, 0.1, 497?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-2)*(24 - (-8112)\/(-336)). Which is the closest to 6? (a) -0.5 (b) r (c) -0.9 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88\/5 of a decade in years?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 3*w + 5*s, s = 3*w + 3*s - 24. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*d = 18*d - 184. Let l = d - -99. Let a = l - -306. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of 2 - 11\/24*s**4 - 3*s**3 - 1\/60*s**5 + 17*s**2 + 0*s. Find c such that z(c) = 0.\nAnswer: -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 841 + 150*c**4 - 5*c + 55*c**4 + 785 + 141*c**4 + 17*c**4 wrt c.\nAnswer: 1452*c**3 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((5267\/(-46))\/(-21 - -2))\/1 - 6?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -179, -1671, -5707, -13559, -26499, -45799, -72731, -108567?\nAnswer: -154579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 9740955.\nAnswer: 8\/9740955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 49, -11, 2\/3?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-4) + (-4158)\/(-8). Suppose -w + p = 4*w + c, -3*w + 304 = -c. Suppose 3*z + 24 = 2*u - 56, w = 3*u + 4*z. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4158 (base 10) in base 6?\nAnswer: -31130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*w + 45 - 5*w**2 - 21*w**3 - 20 - 25 + 3*w**2.\nAnswer: -21*w**3 - 2*w**2 - 49*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3.3 and -88.\nAnswer: -84.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1159538894.\nAnswer: 2, 1031, 562337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 1882140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66429032 and 265716128.\nAnswer: 265716128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 185\/2 + -92. Let w(j) be the second derivative of 4*j + 0 - r*j**3 - 3\/2*j**2. Give w(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 27. Suppose 0 = -m + 103 - q. Suppose 3*d = -v + 13, -5*v - 2*d = -m - 5. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -120*p - 14. Let g(o) = 361*o + 46. Give 3*g(u) + 10*r(u).\nAnswer: -117*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 6*m**3 - 151*m**2 + 27*m - 45. Let z be r(25). Solve -51*n + 5 = -z*u - 50*n, -u - 3*n - 17 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 3)*(8*w**2 - 21*w + 405 - 814 + 407).\nAnswer: 16*w**2 - 42*w - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0355 and -22116423014.\nAnswer: -22116423013.9645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58729 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-2 + 5)*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6827*i - 6824*i = 4*r - 5, 0 = 5*r - 35*i + 150 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t - 4*t - 3*t)*(-152*t**4 - 1119*t**4 - 23*t**4).\nAnswer: 5176*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -12*f + 9. Let y be b(1). Let o(l) = -5*l**2 + 13*l + 8. Let v(u) = 4*u**2 - 12*u - 7. Let n(p) = -5*o(p) - 6*v(p). Give n(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18.4724 + -0.1876. Let d = -19 - s. Let y = d + -0.06. Which is the nearest to -1? (a) 3\/4 (b) 1\/3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 11:15 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 268 - 102. Let w = 391 - o. What are the prime factors of w?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*f**2*m*y**2 + 691*f**2*m*y + 4*f**2*y**2 + f*m*y - 5*f*m + f + 120*m*y**2 + 3*m + 1 wrt f?\nAnswer: 26*m*y**2 + 1382*m*y + 8*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 18 = -3*a, i + 4*i = -5*a + 50. Suppose -2*t - 10 = -4*j + i, -5*t - 10 = -4*j. What is the greatest common divisor of t and 38?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 29 = 26. Solve -5*g = 2*h + s, 0 = 3*h - 4*g + 6 + 7 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.2000024 + 1.2. Round q to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-8)*(-2)\/(-7)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4071984 divided by -5?\nAnswer: -4071984\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -15*x - 120. Let u = -116 + 108. Let d be n(u). Solve 5*z = -d*t - 5*t, 0 = 3*t - 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z**2 + 25*z - 298. Let b be v(-15). Is -182 >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(-427)\/(-17) - 58\/(-493). Let c = 39 - p. What is the remainder when c is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, f: 7}. What is prob of picking 1 f and 1 q?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6, 2, -19 in increasing order.\nAnswer: -19, 2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5661519 to the nearest integer?\nAnswer: 2379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3ae + -8353?\nAnswer: -7fa5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 9*f**2 + 3*f - 3. Is 23 a factor of h(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + 1. What is the derivative of -5*c**4 + 0 - 9 - 2*c**l wrt c?\nAnswer: -28*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-18)\/5)\/((-210)\/1575). Calculate the highest common factor of v and 549.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 3*w + 3. Suppose w*g - 3*c - 3 = 0, 5*g - 2*c = -9 + 20. Let n(j) = -3*j + g*j + 66*j**2 - 67*j**2. Let z(h) = h**2. Determine z(n(m)).\nAnswer: m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-60))\/((-1)\/24)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - b + 10, 5*g = 299*b - 294*b + 10. What is the third biggest value in 2, 5, -3\/8, 5\/3, g?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = k + 3*f, 23*k - 10*k - 29*f + 45238 = 11*k + 45385 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 3) + (-24563)\/3190\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q. Let z(g) = -826*g**2 - 3*g + 8. Let b(r) = -3297*r**2 - 13*r + 34. Let x(a) = -3*b(a) + 13*z(a). What is x(l(i))?\nAnswer: -3388*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.9 * -7.77226.\nAnswer: 38.084074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/18)\/(469\/1809).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -230 times 3?\nAnswer: -690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 (base 11) in base 2?\nAnswer: 110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.009993 - 7.02. Let m = 0.01 + s. What is m rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -s**4\/6 - s. Suppose 2*d + 3*q - 3 = 8, 5*q = d + 1. Let r(h) = 0 + 4 - d + h. Determine a(r(k)).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from {n: 4, g: 6}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + ((-64)\/4 - (-13926)\/1056)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 7 - 42)*(2 + 4 - 3)*(8*f**4 + 49*f**3 - 49*f**3).\nAnswer: -744*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.25 - -1.75. Let i(n) = n**2 + 5*n - 4. Let z be i(-5). Which is the third smallest value? (a) t (b) 0.3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + f + 40 = 0, -53 = -n + 3*f - 11. What is the highest common divisor of n and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) + (sqrt(192) + -1)*6 + sqrt(192) + sqrt(192)*1*-5)*-2 + 4 + 1*(sqrt(192) - (-3 + -2*sqrt(192))))**2.\nAnswer: -912*sqrt(3) + 2089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-6)*0 - -2. Suppose 2 = -2*o - n*i + 5*i, 4*o - 16 = -4*i. Let j be -11399999 + 2\/(-4)*o. What is j rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11740780?\nAnswer: 2, 5, 353, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 6:36 AM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4648 is divided by 50?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 6 = 4. Let n(t) = 3*t**2 - 3. Let s be n(c). Find the second derivative of -3*a + a**3 - 6*a**3 - a + s*a wrt a.\nAnswer: -30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3411141803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g - 2. Let m(s) = -3*s - 1. Let n(l) = 16*l + 5. Let v(z) = -11*m(z) - 2*n(z). Let b = -1881 - -1877. Calculate b*j(i) - 10*v(i).\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 110028?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 + (-61 - -23) + (-50 - 1).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -30662, -61256, -91840, -122414, -152978?\n\"Answer: 5*g**2 - 30609*g - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 91183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -15 - -1?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {i: 4, u: 7, s: 4, t: 1, c: 3}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 3:27 AM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.4, 0.09, -0.1, -2\/57305, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -16*u**2 - 3*u. Let d be p(2). Let c = d - -73. Suppose 0*l + l - 234 = -4*s, 2*s - c*l - 110 = 0. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of x**6\/60 + 71*x**4\/8 + 205*x**3\/3 - 39*x**2 - 4*x. Differentiate g(a) with respect to a.\nAnswer: 6*a**2 + 213","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6071\/7 + 867. Which is the closest to -2? (a) -8 (b) 0.05 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100100101101011000001 - -10?\nAnswer: 1100100101101011000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - -1)\/(4\/2). Suppose k = -4*u + 3*u + 3. Suppose u*p - 24 = p. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7119 is divided by 6295.\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, h: 3, b: 1, x: 5, e: 1, a: 3}. Give prob of sequence we.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 46*v**5 - 2*v**4 + 613212*v**3 + 448*v**2 + v + 15163 wrt v.\nAnswer: 2760*v**2 - 48*v + 3679272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 - ((5 - (4 - -1)) + -7) - (6 + -6).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 34894212?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of -v**3\/3 + 176*v**2. Let r(w) = -2*w - 21. Calculate 22*j(i) - 2*r(i).\nAnswer: 4*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69 and 330441.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -212 (base 4) to base 7\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/33460 and -3\/31640.\nAnswer: 7561960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.13 and 898.\nAnswer: 897.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -351609 at least -351608?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 13*x + 16*x + 2268 = 0, 5*b - 5*x = 11360. What are the prime factors of b?\nAnswer: 2, 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11485 divided by -5.\nAnswer: 2297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1051, -800, -117, 1214, 3409, 6684?\n\"Answer: 36*p**3 - p - 1086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 310477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8046.055l to millilitres.\nAnswer: 8046055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195*h + h**2 + 195*h - 2*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15642 and 316.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 801, 792, 783?\nAnswer: 774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 217314.\nAnswer: 2, 3, 12073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -1135100?\nAnswer: 1135103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7\/211 - 3863\/10761. Is 1 at most q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3 and -42489.0809.\nAnswer: -42488.7809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 3\/5 (b) 5 (c) -18.4721\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 - -51\/2. Let k(g) = -2*g**2 + 14*g - 3. Let t be k(5). Let x = 67\/4 - t. Sort z, x, 4 in increasing order.\nAnswer: z, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1052 * 42\nAnswer: -44184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 3*d + 26 = -2*r, 0 = d + 5*r - 1. Solve -d = -4*a + 2*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11811 is divided by 11806.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -22*j + 383. Let w be n(17). Let s(a) be the third derivative of 0 + w*a**2 + 0*a + 1\/2*a**3 + 1\/12*a**4 + 1\/60*a**5. Give s(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 4*a + 0*a + (-2*a + 5*a - a)*(1 - 1 + 2))*(2*a + 0*a - a)*(-5*a + a + 0*a).\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 * -0.208\nAnswer: 0.1248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -114, -2, -3\/151 in descending order.\nAnswer: -3\/151, -2, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3421 and 913?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qrrxecqrrrrcxc. What is prob of sequence exx?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 (base 12) in base 16?\nAnswer: -4f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4020 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(((-4)\/2)\/(110\/11)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*g = -15, 3*g - g = -2*l + 12. Differentiate 41 + 4*f**3 + l*f**3 - 28 + 6*f**3 with respect to f.\nAnswer: 39*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -8. Suppose 6 = 2*c + 4*v, -c - 3*v + 18 = y*c. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34 by -5.\nAnswer: 34\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000000000011 - -1100?\nAnswer: -111111110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2960, 2974, 3002, 3050, 3124, 3230, 3374, 3562?\nAnswer: 3800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 702667 a multiple of 259?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-3) + 14\/6. Let o(q) = -q + 2. Let c be o(m). Let t be (32\/(-3))\/(c\/3). What is the greatest common divisor of t and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - -28 - (30 - 13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bs when two letters picked without replacement from ssb.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -0.3, -669, -4, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 261952469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52 and 82303.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from swwiltsstwsiwp. What is prob of picking 1 t and 1 s?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 5*z**2 - 7986845*z + 7986840 = 0.\nAnswer: 1, 1597368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 10*r**2 + 14*r + 18. Let s be u(8). Calculate the remainder when (3 + s\/(-2))*(7 - 0) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(4\/9)\/a*a)\/a**(-11))**40\/((a\/(a\/a**(3\/7)))\/(a*a**(-8)))**(-50) assuming a is positive.\nAnswer: a**(52240\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3375901198?\nAnswer: 2, 1687950599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 - -3)*30\/(-3). Let y be 1\/(-1*2\/(-10)). Let x(b) = -2*b**3 - 4*b**2 + 5*b + 1. Let s be x(-4). Solve -5*u - s = o + 4*o, -w = y*o - 2*u for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48.2 - 61. Let l = 12.3 + w. Which is the nearest to -0.1? (a) 2\/11 (b) l (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/9*s**2 - 4\/9 - 14\/9*s + 20\/9*s**3 = 0. Calculate s.\nAnswer: -1\/2, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4 = 2, -4 = -2*w - 3*q. Let y = -8 + w. What is the least common multiple of 8 and (-57)\/y - 3\/9?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 1.8 (b) 0.5 (c) 2 (d) 845 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, t: 1, h: 1, m: 1, i: 2, a: 1}. Give prob of picking 1 m and 1 t.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 107, 1\/6, 3\/2, -1\/4 in descending order.\nAnswer: 107, 3\/2, 1\/6, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 108490139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 16*c + 116. Let h(o) = -o**2 - 4*o + 9. Calculate h(c).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19591 (base 13) to base 12\nAnswer: 24641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25852264 divided by 416972.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 23 = -3*d, 4*x - d = 5*x - 9. Suppose 0 = x*z + 36 - 2356. What is z rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h**5 - 2*h + 2*h + (0*h**3 + h**4 + 0*h**3)*(-2*h - 2 + 2) - 2*h**5 + 52 - 52.\nAnswer: -8*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a82b - 28b?\nAnswer: -1aaba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40 (base 16) to base 4.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -4*l - 2. Suppose -l = -3*k + 3. Solve 4*s - 4 = 4*n + 16, k = -s - n for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54, -110, -166?\nAnswer: -222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48149, -96300, -144455, -192614, -240777, -288944, -337115?\nAnswer: -385290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (192\/28)\/(-26*19\/(-1729))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 224575 - 224575 - 931*o.\nAnswer: -931*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 409166 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.44 times 6.3?\nAnswer: 2.772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 481382 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 10*i**2 + 136*i - 1308. Let v be a(9). Put 9, 5, 12, v in descending order.\nAnswer: 12, 9, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 267\/5 (b) 1\/10 (c) -302\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 2376?\nAnswer: -2377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2 - 76*j - 80.\nAnswer: 4*(j - 20)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 462\/4950*5\/(-2) - 4\/(-12). Factor 98\/5 + p*h**2 - 14\/5*h.\nAnswer: (h - 14)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - c - 102 = 0, -46 - 130 = -4*q - 5*c. Differentiate 18 - q - 67 - 21 - 72 - 284*j wrt j.\nAnswer: -284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - -11. Suppose 3*f - x = -4. Solve 5 + 0 = f*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9217, 6819, 4407, 1975, -483?\nAnswer: -2973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 40*a - 13 = -45*a, 13 = -4*q + 3*a for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16814008 is divided by 2906.\nAnswer: 2798","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 - -4.9. What is the closest to 17\/4 in -0.2, -3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-338*d + 1786*d + 243*d + 1513*d + 1112*d + 156*d)*(2 + 2 - 5) to w*d + v and give w.\nAnswer: -4472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of 3*b**2\/2 + 1. Let y(w) = -2*w. Let q be ((-14)\/(-8))\/(2\/32*4). What is q*y(g) + 5*j(g)?\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120 (base 3) to base 7.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 82, 160, 300, 508, 790, 1152, 1600?\n\"Answer: j**3 + 25*j**2 - 4*j + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, -5.72, 4\/3.\nAnswer: -5.72, 4\/7, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h - 4*f - 68 = -16*h, 5*f + 133 = 4*h. Suppose 0 = 3*i - 101 - 151. What is the remainder when i is divided by h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*x + a, x - 2*a = -x - 4. Suppose -5*p = -x - 2. What is the nearest to -2 in p, -3, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-39)*(90\/(-40))\/(-3)\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 0.03421.\nAnswer: -0.13684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16.6 - 17. Let q = 361 + -257. Let x = q + -103. What is the nearest to x in u, 1, -2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40 + 56. Suppose -3*z = 3*w - 93, 2*z + 2*w = 7*z - 141. Calculate the remainder when z is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3968 by 4.\nAnswer: 992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 33642028 to the nearest 10000.\nAnswer: 33640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (0 - (4 - 1))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -3*m**3 + m**2 + 4*m - 2. Let n be g(2). Let b = n + -4. Let x = 36 + b. What is the remainder when 33 is divided by x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + f - 438 = 0. What is the second derivative of 24844 - f*a**3 - 14*a + 3*a - 24844 wrt a?\nAnswer: -438*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-13335)\/(-63) - 2\/3) + -4?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y - 16*y - 13*y + 4*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -9 - 7. Let g(z) = -z**2 - 6*z - 3. Let t be g(-5). Suppose 0 = -t*s + 7 + 57. Calculate the greatest common factor of h and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 374948878?\nAnswer: 2, 73, 269, 9547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 = 4*i - 5*k + 7*k, 4*i - 2*k - 130 = 0. Let p = i + -57\/2. Which is the closest to 0.2? (a) -2 (b) 2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8348, 4, -2\/5, -3, 5, 2\/7 in decreasing order.\nAnswer: 8348, 5, 4, 2\/7, -2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 12*n**4 + 709701*n**3 - 177438*n**2 - 709701*n + 177426 = 0.\nAnswer: -59142, -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y - 11. Let d be u(4). Let p be (12\/(-8))\/(d\/10). Solve -3*m = -6, m = 3*c + 3 + p for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sfssfssss. What is prob of picking 2 f?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20436613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/10*0)\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 817890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7852 + 7856. Factor -10\/17*r**3 - 6\/17*r + 14\/17*r**2 + 2\/17*r**l + 0.\nAnswer: 2*r*(r - 3)*(r - 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (-2)\/5*-6. Let z = 0 + p. Let g = 49 + -52. Which is the closest to z? (a) g (b) -1\/2 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -122011102021202 (base 3) to base 12\nAnswer: -307a755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1493194 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3912246, -3912247, -3912248, -3912249, -3912250?\nAnswer: -3912251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-4)*(-24)\/27.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 6368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 435487 and 395177.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + 1 + 2)*(-13)\/26. Let d be ((-24)\/(-60))\/(x\/(-20)). Solve 4*w - 3*y - 12 = 2*w, -d*w - 4*y = -4 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -66607, -1, -3, 1\/4.\nAnswer: -66607, -3, -1, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 329 - i**3 - 435*i**2 - 3524*i - 1694 + 4*i**3 + 2*i**3 + 1719*i = 0?\nAnswer: -3, -1, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 167510?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g**2 - 11*g + 6. Let j be b(7). Let m = 76 - j. Solve m*f - 4 = -f + u, -7 = 2*f + 3*u for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -27, 2\/17, -0.1?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -936 by -234.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-105) - ((-3)\/15 - 0)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 4*f + 9, 5*y + 159*f = 154*f - 15. Put -3, 1, -1, y, -7 in descending order.\nAnswer: y, 1, -1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 0 + 0)*(c**2 + 0*c**2 + 3*c**2) + 0*c**2 + 0*c**2 - 4*c**3.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -105.3 - -103.8. Which is the nearest to p? (a) -2\/9 (b) -6 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + -21. Let v be (x - -2) + 0\/3*1. Let w(c) = -c + 3. Let n(q) = q - 2. Calculate v*w(b) - 4*n(b).\nAnswer: -b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u**2 - u + 15. Let w be p(6). Let v = -79 + w. Let z = 99 - v. What are the prime factors of z?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(76) + 2*sqrt(76))*-4 + sqrt(76)*-2*3)*6)\/(1*3*((sqrt(576) - -2*sqrt(576)) + sqrt(576))).\nAnswer: -3*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114 = 63*t - 82*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -261591 by -7.\nAnswer: 261591\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 546 and 230544?\nAnswer: 20979504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 52 - 30. What is the first derivative of -w*a**3 + 9 + 95*a**3 + 74 + 240*a**3 wrt a?\nAnswer: 939*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -21, -144, -365, -696, -1149, -1736, -2469, -3360?\n\"Answer: -2*s**3 - 37*s**2 + 2*s + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 278126703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 175 + -100. Let x = -66 + l. What are the prime factors of (-4)\/(12\/(-15)) + x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 25601957?\nAnswer: 2560195a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 3*l = 15, 88*l - 21 = -3*g + 91*l for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.31? (a) 2\/13 (b) 0.1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 565, 602, 649, 712, 797?\n\"Answer: o**3 - o**2 + 33*o + 532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4764 = -1769*d + 2009*d + 2436 for d.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + -14. Suppose 0 = -2*w + 4*w - 20. What is the least common multiple of z and w?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 13*t + 9*t. Let h(g) be the second derivative of t*g**4 + 0 - 2\/3*g**3 + 0*g**2 + 1\/5*g**5 + g. Find the second derivative of h(a) wrt a.\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 127952883 to the nearest integer?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/43336 and -23\/5417.\nAnswer: 43336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/702)\/(112\/(-8372)).\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009976 rounded to 5 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 - 15. Suppose g*h + 10 = h. Is -5 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -314 + 318. Suppose 3*c = w*o + 191, 8*c + 2*o - 327 = 3*c. What is the least common multiple of c and 17\/2 - (-3)\/2?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2))**(6\/31)\/(v\/((v*v*v**(-1\/6)*v)\/v)*v*v**(1\/4)) assuming v is positive.\nAnswer: v**(-299\/372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 753815456 to the nearest integer?\nAnswer: 910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24\/55 - 2\/55. Let d = 2222 + -2223. What is the nearest to i in 2, 0.1, d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 71*g**3*i*n**3 + 3*g**3*i*n + g**2*n - 4*g*i*n**4 - 4*i wrt n?\nAnswer: 426*g**3*i*n - 48*g*i*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 79 times -1.983939?\nAnswer: -156.731181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 1 - 2 = 0. Suppose n = -3*w + g + 4*g, -g + 3 = 0. Calculate the remainder when 8 is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(8\/5)\/m**(-5\/4))**(3\/5))**16 assuming m is positive.\nAnswer: m**(684\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*a = 2*j + 464 + 590, 0 = 4*j - 2*a - a + 62 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15\/554 + 31481\/6648. Calculate the common denominator of f and -35\/38.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence po when two letters picked without replacement from {o: 2, p: 7}?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/4, 0, 6\/41, 67.\nAnswer: -9\/4, 0, 6\/41, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4285186 (base 10) to base 7.\nAnswer: -51265153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -4*y + 6*y - 1562, 0 = -2*y - 3*w + 1558. Suppose 2*z - 4*f - 736 = -188, -y = -3*z - 4*f. Is z a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wswswwwwswss. Give prob of sequence ww.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 292 + -372. Let q = 80 + r. Suppose 0 = -5*m - 11 + 1. Which is the nearest to m? (a) -0.1 (b) -3\/2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1080\/1056 - 1)*64\/(-24)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 3*f**3 + 381*f**2 + 12648*f + 34596 = 0.\nAnswer: -62, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -42 + -4?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -78 + 141. Suppose 0 = 51*n - 1334 + 518. Calculate the remainder when q is divided by n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2 = -2*t, -2*q - 2*q = -3*t + 3. Let g = -5.01 - -0.01. Which is the closest to t? (a) g (b) 0.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a centimeter in millimeters?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40.9 + 43.009. Let q = m + -2. Let g = q - 0.10953. Round g to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/91469 and 16\/91469.\nAnswer: 91469","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -33, 38, -15 in ascending order.\nAnswer: -33, -15, -11, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 8, m: 3}. What is prob of picking 1 a and 3 m?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u**2 - 10*u + 7. Suppose 5*v + 92 = 4*j + 140, -v = j + 3. Determine b(v).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 divided by 109?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 592636458?\nAnswer: 2, 3, 521, 189583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*g**2 - 2*g**3 - 14*g**2 + 29*g**2 + 7*g**3 - 2 to q + z*g**2 + b*g + k*g**3 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 834 and (2 - (-107 - -4))\/2*12\/15.\nAnswer: 5838","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - s + 4, 4*s = -2*v - v - 10. Suppose 0 = -v*c - 3*c + 25. Let w(d) be the first derivative of -d**2 + 4*d + 151027. What is w(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -10027 + 33\/(-9) + 3. Let v = -8950 - i. Let m = -1098 + v. Find the common denominator of 77\/4 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68933 is divided by 3135?\nAnswer: 3098","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 94\/203 - 30\/29. Let s be (-1)\/(-3)*(-6)\/(-10). Let z(x) = -x**3 + 3*x**2 - x. Let j be z(1). Which is the nearest to j? (a) s (b) -0.4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2 - 20 + 6 - 11*b - 13 - 6*b. Does 37 divide q(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 468702846 to the nearest integer?\nAnswer: 21650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/10*208\/2. What is the highest common divisor of 20 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13608 divided by 3402?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11265981341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -5*l**2 + 89*l + 2. Let o(d) = 14*d**2 - 264*d - 5. What is 4*o(g) + 11*r(g)?\nAnswer: g**2 - 77*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4420030144 (base 5) to base 9.\nAnswer: -18840045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 4:33 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*o - 717 = 59*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4604 a factor of 3110480011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1098 = 3*d - 15*g, 82*d - 509 = 80*d - 12*g + 5*g for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(396)*2.\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2)*(-9*n - 4 + 4) + (-n + 5*n - 5*n)*(1 + 2 - 2) - 66*n + 97*n - 68*n.\nAnswer: -56*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2 - 37*s - 5 - 2 + 35*s + 16. Calculate v(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.087 - 0.413. Let x(d) = -d**2 - 15*d + 9. Let q be x(-16). What is the closest to -1 in i, q, 0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m + 9 = -178. Let p be (m + 18)*(0 + -1)*-5. Suppose -18 = -p*a + 12. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 0*z - 3*z - z**2 + 9 + 2*z**2 - z. Let l be i(6). Let s = 2431.1 - 2431. Is l > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*u = -419*u + 6030. What is the smallest common multiple of 750 and u?\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 4*i + 3. Let w(p) be the second derivative of p**2\/2 + 8*p. Determine c(s) - 3*w(s).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.5 (b) 0.05 (c) 0 (d) -311\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - 78\/18) + 185\/15. Suppose 23*y + v = 20*y. Which is the third smallest value? (a) y (b) -1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 + (-1 - -1 - 40\/(-8)). Is 5\/12 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12014646 - 3?\nAnswer: 12014643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 46*j - 21 = 47*j, 2*v = -5*j - 69 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1)\/h**0)\/(h**(2\/3)\/(h*h**(-1\/4)*h*h*h))*(h\/h**(-1)*h)**48\/(h*h**(-2\/7)*h)**21 assuming h is positive.\nAnswer: h**(1321\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) -1.14 (c) 0.4 (d) 6 (e) 24\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6061 and 16929.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f*f**(-2\/5)))**(42\/11))**(-25) assuming f is positive.\nAnswer: f**(630\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8284.2 + -8283. What is the second smallest value in 0.11, 5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 8*n**2 + 8*n + 8. Determine x(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1295 = -4705062*s + 4705025*s for s.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s + 23. What is a(-17)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*g = 20. Let j(m) = m**3 + 10*m**2 + 13*m + 45. Let v be j(-9). Let p be ((12 - v)\/12)\/((-1)\/4). Sort p, 2, g.\nAnswer: g, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2900, -11468, -25732, -45710, -71420?\nAnswer: -102880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**4 + 80*n**3 + 228*n**2 + 224*n + 74 = 0. Calculate n.\nAnswer: -37, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -309, 3\/4, -2\/15, 5 in decreasing order.\nAnswer: 5, 3\/4, -2\/15, -309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2055 rounded to 2 decimal places?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c - 30. Let m be y(-18). Let w(x) = 15 + 4*x - m - 2*x + 38. Let b be w(-20). Let k(q) = q**3 - 8*q**2 + 9*q - 8. Give k(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 4, -2\/567?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hycwcbbhhhvhy. What is prob of sequence hw?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 x when two letters picked without replacement from jfxnq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 0*d - 10 = z, -z = -d - 6. Let s be d\/(-36) - (-1)\/9. Which is the smallest value? (a) -2 (b) -1\/3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + h = 0. Suppose -i = -h*i - 3. Find the third derivative of -3*g**5 - 3*g**5 + 0*g**2 + 3*g**2 + i*g**5 wrt g.\nAnswer: -180*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -303994.0093 to the nearest ten.\nAnswer: -303990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + -22. Let k be (-10)\/(-25) + (-13)\/(-5). Let w(b) = -b**2 + 0 + 5 - k - b**2 - b. Give w(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55*x - 61*x + 325*x + 127*x)*(x**3 + 4*x**3 - 4*x**3).\nAnswer: 336*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -2\/87 (b) -2\/7 (c) 6 (d) -0.1 (e) -84 (f) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*8.1\nAnswer: -3.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1832893 is divided by 50?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-429)\/(-91) - (10 + -5).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2875*q + 695*q - 274*q + 69216 for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 8:42 PM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a - 3*a = -224. Suppose -21*s = -a*s - 10. Suppose 3*v - 2*k = s*k + 140, -4*k - 36 = -v. Calculate the highest common factor of v and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 - -34. Let g be c\/9*(6 + 0). Does 14 divide 338\/g - (-1)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7363 - -2?\nAnswer: 7365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 - 85 = -j + y, 2*j + 3*y = 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (35\/(-28))\/(1\/(-4)). Let t(w) = -w**2 + 5*w + 1. Let n be t(x). Let h = -252.4 + 252. Which is the closest to n? (a) 5 (b) h (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -322*a**2 + 609*a**2 - 339*a**2.\nAnswer: -52*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 1312 = -5*i + 2*d, -5*d = -i + 252. List the prime factors of i.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -6*g + 28. Let o(l) = l**3 - 5*l**2 + l + 6. Give o(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 + 13*m - 8. Let i be s(11). Suppose 2*j - 5*j + 84 = 0. Calculate the greatest common divisor of j and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*q + 1065 = -8*q. Suppose 2*x - 340 - q = -c, -5*c + 210 = x. List the prime factors of x.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52198?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1960420 = -60*w + 364580. Is w a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1723*j**3 + 34960*j**3 - 3*j + 2287*j**3.\nAnswer: 38970*j**3 - 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44 - 44.33. Let h = 0.73 + u. Let q = -0.1 + -4.9. Sort h, q, -1.\nAnswer: q, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00036532 to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -123578, -123581, -123572, -123545, -123494, -123413, -123296?\nAnswer: -123137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + 9 - (114065\/(-10)*2 - 2). Calculate the highest common factor of p and 140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(363) + 0 + -2) - (-2 + 1 + sqrt(363) + (sqrt(363) - ((2*sqrt(363))**2 + -4))).\nAnswer: -66*sqrt(3) + 1457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 + 125 = 3*d. Suppose 0 = -8*m + d + 9. Solve 0 = 2*r - 7*r + m for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 4*v - 78*v**4 - v**2 - v**2 + 81*v**4 in the form h*v**2 + u + w*v + m*v**3 + q*v**4 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 39, 11, -77, -225, -433?\n\"Answer: -30*b**2 + 62*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16 + 21)\/(15\/6). Find the third derivative of 12*k**t - 12*k**3 + 27*k**3 + 0*k - 2*k + 9*k**3 wrt k.\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 60 - 195. Let i = -67 - z. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31\/757 or 1?\nAnswer: 31\/757","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3386*o. Let k(q) = 10230*q + 1. Determine 13*c(v) + 4*k(v).\nAnswer: -3098*v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -712 (c) 1\/2 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 35 + -72 - -31 - (0 - -2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -20020 (base 3) in base 2?\nAnswer: -10101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2*k - 8 = 0, 3*n + 0*k + 3*k = -12. Suppose -q + 5*q + 2*s - 66 = n, 2*q = -5*s + 21. What is the remainder when q is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -5. Let k = 7 + -5. Let n(j) = 3*j**2 + j**3 + 2*j**2 + j - 2*j**k + 4. Determine n(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4700 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 PM and 7:06 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 3:39 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*g + 15 + 12 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**3 + 21*r**2 - 30*r + 27. Calculate p(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 0) + (-8286)\/42. Let v = -198 - s. Let m = -603.7 + 604. What is the third smallest value in v, m, 0.5, -0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p - 1. Let j(q) = -2*q + 5. Let x(t) = 4*f(t) + j(t). Give x(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/((-42)\/9)*73776\/(-1908).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffvvovvvo. What is prob of sequence fvv?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(8)\/(-1*sqrt(4)*-5 - sqrt(4)))**2 + 2 + -1 + sqrt(1800) + 0 + sqrt(1800) + 4.\nAnswer: 65\/8 + 60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r + 16 = 17*r. Suppose 4*i - 8*i + r = 0. Let z = 10 - 7. Solve 0 = -i*m - 13 + z for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 3*c = 0, 0 = 5*h + 5*c. Let u = 13 - 1. Let o(d) = d**2 + 2*d + 2. Let f be o(-2). Solve 3*z - 4*w - u = h, w - f = -2*z - 5 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 0.34813.\nAnswer: -0.034813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fifteen quarters of a week?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -744*i + 726*i + 5544 = 0. What is the highest common divisor of i and 5390?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4269*x**4 - 6502?\nAnswer: 17076*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.654 + -6935.346. Is u at most -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*j - 7*j + 11*j)*(0 - 2*j**3 + 0) + (j - j - 2*j)*(-j**3 - 2*j**3 - j**3) as g*j + s*j**4 + w*j**3 + m + k*j**2 and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4*y - 862 = -n, n + 4*y = 847. What are the prime factors of n?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 - 1101110000111001101?\nAnswer: -1101110000111000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, e: 1, a: 2, q: 5}. What is prob of sequence acqq?\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5699 and 278?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 981630.6 millimeters to kilometers.\nAnswer: 0.9816306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 4:31 PM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/6 - (-67)\/(-268). Factor -1\/8*y**5 + x*y**4 + 3\/8*y**3 - 1\/2*y**2 - 1\/2*y + 0.\nAnswer: -y*(y - 2)**2*(y + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*l + 252*l = 124*l - 11400 - 12580 for l.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 33\/22*2\/3. Let s be 6\/((-6)\/(-4)*h). Suppose 8*n = s*n. Solve 2*m + 8*j - 3*j + 23 = n, 0 = m + 3*j + 13 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 179940 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -793 + 686. Let z = y - -325. What is the remainder when z is divided by 38?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -224*a + 3 + 230*a - 3. What are the prime factors of q(6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus -831.893?\nAnswer: -827.893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4*h + 2*x = -27, x = -1. Let n = h + -9. Let k be 6\/81*9*24. What is the greatest common divisor of n and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 972915, 1945861, 2918801, 3891735, 4864663?\nAnswer: 5837585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - r - 1. Suppose b = 5, -6*m + 6 = -4*m + 4*b. Let s be 12\/m - (-2)\/(-7). Let g(q) = -3*q**3 + 2*q + 3. Give s*g(c) - 4*o(c).\nAnswer: 2*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 0 (c) -2\/3 (d) -1313\/6 (e) 14\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = 14 + 14. Suppose -8138 = -i*q + 1646. What is the third derivative of 2446 - q + 23*f**4 + 5*f**2 wrt f?\nAnswer: 552*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10733 to the power of 1\/2, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -5*z + 20, -3*a - 2*z + 2 = -6. Suppose a*q = -4*q + 36. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-33)\/(z\/(z*z*z\/z**(-37)*z)) assuming z is positive.\nAnswer: z**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 35 = 8*d - 5*z, -z = -4*d + 16 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-x - x + x + (-5*x + 0*x + 4*x)*(2 + 1 - 1))*(-53 + 154*x - 85*x - 79*x) to j*x + v*x**2 + a and give v.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (51 + -19) - -50?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l + 2. Calculate p(-13).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + 122*r - 26521. Determine v(112).\nAnswer: -313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2)*(2 + 4*b - 2) - 34*b + 20*b + 18*b + 2 + 1 - 1 + 2*b - 16 + 16 + 9*b.\nAnswer: 23*b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**(-2\/23)))\/(y*y\/(((y*y*y*y*y**24*y)\/y*y)\/y)*y*y))**(2\/11) assuming y is positive.\nAnswer: y**(1108\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -44*i**2 + 74*i + 75. Determine d(-1).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -14*y**2 + 6*y + 26. Let b(s) = 5*s**2 - 16*s - 16. Let t(h) = 5*h**2 - 14*h - 15. Let g(v) = -6*b(v) + 7*t(v). What is -6*c(d) - 17*g(d)?\nAnswer: -d**2 - 2*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 250860741 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 288565.\nAnswer: 5, 57713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55193783.\nAnswer: 5153, 10711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 19787 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2*h = -5. Is 11*(2 + (16 - h)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 y when two letters picked without replacement from yyyyiiyiyyyyoyn?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*c + 11 = -99. What is the nearest to -75 in c, -7, 2\/3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 361065794315 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/140)\/((-2)\/(-36)*-3).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7464, 14927, 22390, 29853, 37316?\n\"Answer: 7463*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -0.36.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 33*f + 129. List the prime factors of x(29).\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uv when two letters picked without replacement from uvuuuuuvvu.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) + sqrt(187) + 6*sqrt(187)*-1 + sqrt(187))\/sqrt(11).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/180)\/((-2)\/30) - (-7 + 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 4, -4, -0.08, 107\/15 in decreasing order.\nAnswer: 107\/15, 4, -0.08, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*f - 30253 = 323411. Is f a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -769*a - 21 + 54 - 16 - 17. Let o(b) = -3*b**2. Calculate o(i(f)).\nAnswer: -1774083*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2078?\nAnswer: 2, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21806297.\nAnswer: 21806297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3*n = -0*n + 5704, 3*d = 4*n + 4278. Suppose -d = 405*j - 407*j. Is j a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16.3 + 2.3. Let y = o - -13. Let d = -13 + 15. What is the third biggest value in y, -5, d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 104 - 109.3. Let p = h - -55.3. Let r = -49.958 + p. Round r to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of n**6\/80 - 11*n**5\/24 + 49*n**4\/12 + 43*n. Let q(p) be the third derivative of r(p). What is the tens digit of q(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(972) + (sqrt(972) - (3*-2*sqrt(972) + sqrt(972))))\/(-6*sqrt(216)*-1))**2.\nAnswer: 49\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2905 - -5056. Suppose -6*y + u = -2481. What are the prime factors of y?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*v = -86, 4*f - 6*f - 4*v = 52. Let b = 43 + f. Calculate the remainder when 27 is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 153 - 156. Let j = 12 - 7. What is the closest to 0.2 in j, i, 6?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 0*u + 0*u)*(2 + 1 - 5 + (2 - 5 + 0)*(9 - 7 + 15))*(-5*u**3 + 3*u**3 + 3*u**3).\nAnswer: -106*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 3*o**2 + 2*o + 2. Let v(x) = x**3 - 3*x**2 - 6*x + 2. Let n be v(4). Let g = n - -8. Let c = -5 + g. Determine h(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4846695 divided by 323113.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -691, -625, -515, -361, -163?\n\"Answer: 22*y**2 - 713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/(-91) + ((-1)\/28 - 0)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in 4, 0.4, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of -j**6\/1620 - j**5\/540 - 2*j**3\/3 - j. Let b(p) be the second derivative of d(p). Solve b(n) = 0 for n.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1940 - 1942.149. What is z rounded to one dp?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*17531\nAnswer: -70124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 36*x**3 + 279*x**2 + 185*x - 185. Determine a(1).\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0)**(-27\/7)*s*s\/s**(-4\/5)*s*s*s**(2\/3) assuming s is positive.\nAnswer: s**(82\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a micrometer in nanometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -452.29.\nAnswer: -1809.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 72233465 a multiple of 491?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -32, -48, -72, -104?\n\"Answer: -4*b**2 - 4*b - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0522 + -10.0522. Which is the third biggest value? (a) -4 (b) 9 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 322 + -322.1036. What is j rounded to two dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 8. Let t = -114721\/9 + 12747. What is the fourth smallest value in s, 10, 0.4, t?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127*m - 35*m - 32*m - 31*m - 27*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*o + 3*o - 10*o)*(-4*o + 4*o - 29*o) - 3*o + o**2 + 3*o in the form r*o + b + v*o**2 and give v.\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {q: 2, b: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - o + 48 = -2*o, 4 = -o. Suppose 0 = -3*f + 4*f - 10. What is the smallest common multiple of d and f?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27 and 66.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2*j + 8 = -2, -4*p + 4*j = -4. Let u be 3*-1*(-1)\/p. Solve -r + 2*r - u = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2*r**3\/13 + 154*r**2\/13 - 73288*r\/13 + 1388160\/13 = 0?\nAnswer: -241, 20, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 4\/7, 5, 3, -2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*w**4 + 13*w**3 - 27*w**3 + 14*w**3 - 2*w**2 + 9*w to c*w**3 + h*w**2 + q + y*w**4 + o*w and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**2 - 2. Let b be h(3). Let q = -4 - -8. Calculate the highest common factor of q and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2424 and 288.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 31.5 and -0.04.\nAnswer: -1.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 10) in base 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144528.\nAnswer: 2, 3, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 377*p = -373*p - 5641, -3*p = 5*c - 9387. Calculate the highest common divisor of c and 300.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -58\/3, 0.1124, -1, -5, 0.5 in ascending order.\nAnswer: -58\/3, -5, -1, 0.1124, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 9 = -w, -3*w + 0 + 3 = 0. Suppose -o*y + 10 = 0, 3*g + 2*y - y = 320. What is the greatest common factor of 42 and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 22*z**2 - 22*z - 22. Let q = -754 + 738. Let c(t) be the second derivative of 7*t**4\/12 - 7*t**3\/6 - 7*t**2\/2 + 3*t. Calculate q*c(i) + 5*s(i).\nAnswer: -2*i**2 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 88, 172, 258, 346, 436?\n\"Answer: n**2 + 81*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 7*l**2 + 2*l + 4. Let g be p(-5). Let u = 9 + -5. What is the highest common factor of g and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18*-4.69\nAnswer: 84.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/2))**(-1\/25))**(-9\/4)*v\/((v\/(v*v**(-4)*v))\/v)*v**(-1\/2)*(v**(3\/5)\/v*v)\/v**1 assuming v is positive.\nAnswer: v**(-371\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 91 - 79. Calculate the lowest common multiple of j and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.68714 and 10.\nAnswer: 6.8714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109, -80, -379, -794, -1331, -1996, -2795, -3734?\nAnswer: -4819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1217 + -316. Suppose 6*d - 1325 = o. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-99)\/(-18))\/((-9)\/(-18)). Calculate the highest common divisor of b and 3421.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -5\/3, -5, -3.1, -18 in increasing order.\nAnswer: -18, -5, -3.1, -5\/3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n + 21. Let d be j(6). Suppose -d*x + 4072 = -2675. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2 + 8\/3 + 20\/3*d.\nAnswer: 4*(d + 1)*(3*d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97512 less than 4289?\nAnswer: -93223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 970 and 965?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 a factor of 344604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03*-7107539.\nAnswer: -213226.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -459*g**3*k**2 - 2*g**3*t + g**2*k**2*t + 5*g**2 + 8*k**2*t + k*t wrt g?\nAnswer: -2754*k**2 - 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 108\/13 or 142226?\nAnswer: 108\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 5*n**2 + 2*n - 1. Calculate a(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 10:46 PM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**3\/7 + 6*l**2\/7 - 4*l\/7 = 0 for l.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3429)\/(-27)*(7 - 0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 + 9447*u**2 - 724443*u - 15412845375.\nAnswer: 3*(u - 1125)*(u + 2137)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 696 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 2:10 AM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1)*(0 + 1 + 1)*(d - 2*d + 0*d)*(0*d + 3*d + 0*d).\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 621 is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000096291768 rounded to six dps?\nAnswer: 0.000096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*s - 20. What is the greatest common divisor of 33 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 848*f**3 + 9*f**2 - 106*f. Let a(w) = 4*w**3 + 2*w**2 + 2*w. Let o(h) = -5*a(h) + u(h). What is the third derivative of o(l) wrt l?\nAnswer: 4968","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 + -2 + 5)*(-1)\/1. Let f = 3 + s. Solve -m - f + 0 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 41552 and 6664?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 10:03 PM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -124.99 - -124. Let g = l + -0.01. Which is the smallest value? (a) 5 (b) g (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40592 = 4*i - 4*n, -16*n = 5*i - 14*n - 50740. Is 172 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3032079?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5777 and 513385.3.\nAnswer: 519162.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 0. Suppose -81 - 81 = -f*g. Let y = g - 321\/4. What is the second biggest value in 4, -5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-1*sqrt(1715) - sqrt(1715))\/((sqrt(125) - sqrt(125)*1) + sqrt(5)) + 3).\nAnswer: -18 + 84*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 8*w. Let t be h(8). Let p(d) = -2*d - 5. Let o be p(-4). Let k(x) = -o*x - x + t*x + 5*x. Let r(n) = -n**2. What is k(r(g))?\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, c: 2, m: 1, t: 6, g: 2}. Give prob of sequence tgtc.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**3 - 4445828*l**2 + 1235298872444*l + 21001365695492.\nAnswer: 4*(l - 555737)**2*(l + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*c = -25, -50 = -5*j - 2*c + 7*c. Is 5 a factor of 13 - (2 + (1 - j))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 0.034, 0, -0.2?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 8*h - 121. Let w be o(16). Solve -5*y + w = 2*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -6303*f - 743752. Calculate m(-118).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**4\/17 + 3490*w**3\/17 - 6*w**2\/17 - 10474*w\/17 - 6980\/17 = 0.\nAnswer: -1745, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -2*n**2 - 152*n = 0?\nAnswer: -76, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 33*j - 36*j - 11, -3*j + 14 = l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 244*o**2 - 367*o**2 + 17 - 51*o.\nAnswer: -611*o**2 - 51*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.6 + 1.4. Which is the nearest to -1? (a) -0.5 (b) k (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46472\/3689 + -390\/31. Let n be 2 + 1 + (-39)\/15 + 4\/(-10). Is n >= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.32598 times -0.1?\nAnswer: -0.032598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 13*j**4 + 3*j**5 + 9*j**3 + 3*j**2 - 22*j**4 - 6*j**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 23*p**2 + 3*p + 3. What is the units digit of w(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - ((0 - 2) + -3) - 76) + 7 + 2.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 24\/90*-5*(-156)\/16. Solve -4*m + 3*h = 13, -h - 3*h = -m - r for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-34) + 617450\/19805?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - (-1 + (-2 - -2)). Let i(d) = -d - 1. Let y be i(-3). Let k be y + (1 + -1 - 1). Calculate the highest common factor of u and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 210\/4*(-3588)\/8970.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in -2\/9, 5, 0?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - 3*i - 6. Let c be g(5). Suppose p = c - 3, -2*d = -5*p - 45. Suppose -2*o + 69 = d. What is the remainder when o is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 3 - 3 - -11.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1367*d - 394*d - 129745 = 383*d - 459*d for d.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (212\/10)\/(12\/(-3865)). Let z = 6805 + n. Find the common denominator of 150\/12*1\/(-4) and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5, -258, -1067, -2750, -5625, -10010?\n\"Answer: -53*d**3 + 40*d**2 - 2*d + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-24)*-4*(-750)\/(-700)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - 8*m. Let h be (-8)\/(-3)*21\/(-14). Is 12 a factor of z(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.6361l?\nAnswer: 4636.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/36 - (-18)\/136.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3163352\/133 - 23784. Let q = j + -6\/19. Let f = -44893\/11 + 4085. Find the common denominator of q and f.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 - i**2 - 31*i - 73 + 26*i.\nAnswer: -i**2 - 5*i - 111","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -679740686, -679740683, -679740680, -679740677, -679740674?\nAnswer: -679740671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -3*x**4\/2 + 7935*x**3\/2 - 1267209*x**2 - 9025500*x - 12950400 = 0.\nAnswer: -5, -2, 380, 2272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**3 + 2*v**2 - 16*v - 24 = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k + 8. Let p be n(7). Factor -5*a**3 + a**3 + p + a - a**2 + 3*a**3.\nAnswer: -(a - 1)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1db6 (base 14) to base 6.\nAnswer: 41124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -7. Suppose 0 = 4*o - 9 - b. What is the highest common divisor of 2 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 256350*l - 255336*l - 28392 for l.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37034 + 36971 = -18*o + 5*r, 3*o = -r - 6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/33 and ((-3)\/(36\/(-1112)))\/8.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 12975568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 21 = 3*y, -y - 7*m - 11 = -2*m. Put y, 3, 2, -1 in ascending order.\nAnswer: -1, 2, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 8:11 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**3 + 23758*y**2 - 70898550*y + 2036126250 = 0. What is y?\nAnswer: 29, 5925","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 74*w + 2211. Determine y(-30).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 1)*((-1 + 1 - 2)*(-3 + 3 + 2*b) + 3*b + 0*b - b - 18*b + 8*b - 15*b).\nAnswer: -54*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -31203011123 (base 4) to base 9\nAnswer: -6612758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vxxxvdvaqvxxxqv. Give prob of sequence vvq.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -186112*p**2 + 4*p + 8. Let h be a(6). What is h rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q - 2. Suppose 4*l + 20 = -l, 0 = -4*s - 2*l + 32. Suppose 3*h = -m + 3*m, -4*m + s = -h. Let f(b) = 2*b + 2. What is m*t(j) + 2*f(j)?\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 10*u**2 - 4*u**2 + 11*u**3 - 13*u**2 + 3*u + 30*u**2 in the form k + y*u**3 + f*u + q*u**2 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -1124, 4\/9?\nAnswer: -1124","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 458*f - 118700 = 307*f - 2223*f for f.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10927?\nAnswer: 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -0.97. Let p = 2.97 - u. Let s = 3170\/5523 + -2\/789. Which is the third biggest value? (a) s (b) p (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 112 * 224.\nAnswer: 25088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -403 - -399. What is the second biggest value in -5, p, 29?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = u - q, 2*u - 7*q = -4*q. Let b(m) = -2*m + 1. Let d(f) = 5*f - 2. Determine u*d(s) + 8*b(s).\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 523 + -267. Let s be -2 - (-4 - -1) - -127. Suppose -s = -3*x - x. What is the highest common divisor of x and j?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k**2 - 5*k**2 + k**3 - 20091.\nAnswer: k**3 - 20091","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-18)\/(-12))\/((-3)\/(-4)). What is the least common multiple of 22 and (7\/(-1))\/(1 - 3\/t)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -92 - -41?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 5:24 PM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -3*g**8\/140 + g**7\/280 + g**6\/20 - g**3 + g**2 + 18. Let c(r) be the third derivative of x(r). Factor c(o).\nAnswer: -3*o**2*(3*o + 2)*(4*o - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6405315.\nAnswer: 3, 5, 7, 53, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -142*z - 1980. List the prime factors of t(-71).\nAnswer: 2, 4051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*c**2 - 4*c**4 - 14*c**2)*(-13 + 0 + 3).\nAnswer: 40*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*2 - (-6 + 0). Let f(w) = 2*w**3 - 4*w**2 - 4*w + 6. Let x be f(m). Suppose -5*v = -26 - x. Is v a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 14*u**2 + u. Let q(t) = 13*t**2 + t. What is 6*c(w) - 5*q(w)?\nAnswer: 19*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 8:34 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -684832*a**4 + 684834*a**4 + 2*a**2 + 1 + 3*a**2 + a**3 + a to f*a**3 + c*a + g*a**2 + v + z*a**4 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.75 and 2.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -354 (base 8) to base 10\nAnswer: -236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6435 and 0.1.\nAnswer: -6434.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.6 - 4. Let n = -656026\/5 - -131205. What is the closest to n in -5, 0.08, t, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5628047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(1 - 3) + -3. Let w be ((-4)\/(-2) + x)\/1. Find the first derivative of -q + w*q**3 + q - 2 - q**3 wrt q.\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 5. Suppose -u = -5*b - 0. What are the prime factors of (0\/(-2) + b)*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -40402, -1\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*p + 0*p + 4*p)*(-6 + 10 + 18)*(4*p**2 - 8*p**2 - p**2)*(0 - 1 - 1) as l*p + x*p**3 + d + m*p**2 and give x.\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22611333?\nAnswer: 3, 269, 28019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (7 + -105 - 0) + (-17 + -1 - -28).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -602*c + 12909*c + 1501454 = 0 for c.\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/7 > -277\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -6*d**3 - 2*d**2 - 4*d - 3. Calculate c(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 7. Let h = 1 - 2. Let k = i - h. Solve -4*l + k = 16 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, 1\/67, -0.7, -1?\nAnswer: 1\/67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10 + 975a8?\nAnswer: 97598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66 and 3234?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in six fifths of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*g**5 + 55*g**4 + 7485*g**3 + 7425*g**2 = 0. What is g?\nAnswer: -33, -1, 0, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 m when four letters picked without replacement from {m: 3, f: 7}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 295470 and 2450.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281 is divided by 141.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p + 22742 = -18946. List the prime factors of p.\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -24 + 32. Solve 0 = -5*k + 2*w - 10, 12*w = -k + g*w - 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 2, -904, -356?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/(-3))\/((-8)\/(-36)). Let m = 9 + h. Let j = m - 15. Solve 2*z + 5 = 2*u - j, 2*u + 4*z + 16 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -193\/9120 and -67\/9.\nAnswer: 27360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.09279 + -5.09279. Sort 4\/13, -1, m, 5, 4\/7 in increasing order.\nAnswer: m, -1, 4\/13, 4\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 849 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1524455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 237336 divided by -638?\nAnswer: -372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18272 = -18*d - 3274. Round d to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 641 = a, 4*h + 5*a - 634 = 1. Calculate the highest common factor of h and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 6*f**2 - 5*f - 13. Let h be j(-5). Suppose -h*l = -158*l. Which is smaller: l or 3\/110?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2971, 6633, 10265, 13867, 17439, 20981, 24493?\nAnswer: 27975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -19, -2\/7 in increasing order.\nAnswer: -19, -0.3, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 27896*t**3 + 5706*t**2 - 11412*t. Let m(p) = 5*p**3 + p**2 - 2*p. Give -2*a(u) + 11412*m(u).\nAnswer: 1268*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (156\/(-120))\/13*4.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*((-414)\/(-84) - 5) + 312\/(-798)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -31, -4, -184 in decreasing order.\nAnswer: -3, -4, -31, -184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1612649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 102463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.32*-27.636.\nAnswer: 8.84352","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 451*c + 29. Let i(d) = -d**2. Determine i(z(g)).\nAnswer: -203401*g**2 - 26158*g - 841","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -39572*l + 2093. Let x(u) = 1319*u - 69. Calculate 182*x(w) + 6*z(w).\nAnswer: 2626*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 4*u + 6. Let b(h) = -7*h - 11. Let t(k) = -5*k + 71. Let i be t(12). Determine i*y(g) + 6*b(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 826 and 468538?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -63.31 and -7?\nAnswer: 443.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3 = -3*r - 9, 15 = 5*h - 2*r. Let c be 4\/10 + 114\/105. Let k = 6\/5 - c. Which is smaller: h or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 256028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -43, 3, -0.15?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1142 + -0.13852.\nAnswer: 1141.86148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 - 18 + 2*r**2 + 4*r - r**3 - 5*r to y*r + x*r**3 + b*r**2 + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (8890\/(-35560))\/(1\/(-488))\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fu when two letters picked without replacement from ifu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 1. Let y(d) be the second derivative of d**2 - 25*d. Determine -4*w(q) + 2*y(q).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -35, -47 in descending order.\nAnswer: 2, -35, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*u - 3*o = 27*u - 4, -6 = 7*u + 2*o for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*j = -305*j + 3264. Solve -j*n = -2 + 38 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2153741.\nAnswer: 43, 50087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46 + 70. Suppose -s = -4*d + 21, -3 = -w*d + 23*d - 2*s. Let u(m) = -m**3 + 4*m**2 + 7*m + 4. Let v be u(6). Sort v, 2, d.\nAnswer: v, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (55 - 1) + -8045 + 7948?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 6) to base 16\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -314 - -314. Let j(r) = r**2 - 5*r + 4. Let n be j(5). Let g be 160\/72 - n\/18. Solve q + 4 = -m*q + v, -g*q + 3*v = 7 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 3. Suppose -c - 4*c - p - 13 = 0, s = 5*c - p + 17. What is the tens digit of (c - -1)\/((-2)\/12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2)*p)\/(p\/((p**(-3\/2)*p)\/p))*(p\/(p**(2\/15)*p)*p)\/(p\/p**4*p) assuming p is positive.\nAnswer: p**(-19\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 68 - -13. Let u = s + -26. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 925976?\nAnswer: 2, 283, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 162471.75 months?\nAnswer: 1353.93125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/96*816\/(-17)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -55051215 - -15?\nAnswer: -55051200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of -17*d**6\/10 + d**5\/4 + d**4\/24 - 48*d**2. Find the third derivative of b(x) wrt x.\nAnswer: -1224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.023 + 36.678393?\nAnswer: 36.701393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.08 - 0.18. What is the second biggest value in -5, 0.3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 121*f**3 - 194*f**3 + 9 - 9 - 24*f wrt f.\nAnswer: -438*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -949, -3141, -5333, -7525?\nAnswer: -9717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 486 * -338347\nAnswer: -164436642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.016833615 rounded to 5 decimal places?\nAnswer: 0.01683","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/8 - 3*y**2\/2 + 9*y\/2 - 4.\nAnswer: (y - 8)*(y - 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 - 2. Let z = l + -58. Let u = z - -50. Solve 0 = -0*k - 4*k - u for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 901.05 plus -254?\nAnswer: 647.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 125918549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -47\/1661?\nAnswer: -47\/1661","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21032958, -42065942, -63098926?\nAnswer: -84131910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4321 (base 9) to base 16.\nAnswer: c6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 7:48 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 147373, 294754, 442135, 589516, 736897, 884278?\n\"Answer: 147381*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2846*g - 294794 = -1466*g - 100754 for g.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1716973, -3433945, -5150917?\nAnswer: -6867889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 14 = 5*m + 16 + 18, 0 = -m - 10 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 196093, 784286, 1764621, 3137110, 4901765, 7058598?\nAnswer: 9607621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -133*q + 351 wrt q?\nAnswer: -133","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -127*v**3 - 91*v**2 - 7*v**3 - 3*v**4 + 82*v**2 - 129*v**2 - 7*v**3.\nAnswer: -3*v**2*(v + 1)*(v + 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 342 by -6.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-141)\/2 + ((-91)\/14 - -6). Suppose -390 = 3*w + 5*q, -w = -2*w + 3*q - 144. Let t = m - w. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70916?\nAnswer: 2, 17729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 722 + 6*l + l**5 - 346*l**2 + 39*l - 3*l**5 - 724 + 3*l wrt l?\nAnswer: -40*l**3 - 692","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -32, 0.4, -4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m = 11*m + 12. Let j(k) be the second derivative of 1\/12*k**4 + 4*k + 0 + 0*k**3 - 3*k**m. Determine j(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 353 and 34?\nAnswer: 12002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, a: 1, g: 2, v: 4}. Give prob of picking 1 v and 1 g.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 5*w**2 - 10*w + 2. What is the remainder when 291 is divided by c(4)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1166361827?\nAnswer: 653, 1786159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000068 to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -2\/7, 2, -6.8, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z + 1 - 1 - z - 3*z + 2*z + (-3 + 4 - 2)*(1 - 1 + 2*z) + 2*z - z - 2*z + 0*z - 2*z + 0*z - 21*z - 293*z - 153*z to v + g*z and give g.\nAnswer: -475","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + 7*m. Let j be a(4). Suppose -30 = -2*g + j. What are the prime factors of g?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/7 - 286\/(-77). Suppose 0 = l - r, 3*l = -3*i - 2 + 20. Solve 1 = i*j - 4*j + p, 4*p + 22 = -5*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -6. Suppose l*a - 2*x = 5*a + 4, -a + 2*x + 13 = 0. Let y(r) = r**3 - 2*r**2 + r - 3. What are the prime factors of y(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2bb (base 14) to base 15\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5261 times 15?\nAnswer: -78915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42960.\nAnswer: 2, 3, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 6*h + 14. Let g(b) = 2*b + 5. Suppose 2*d + 2*d + 14 = -3*n, -2*d + 3*n = 16. Let w(f) = d*q(f) + 14*g(f). Let s(a) = 3*a**2. Give s(w(k)).\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/9*1)\/((-80)\/120). Does r = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -6*(-3 + -1 + sqrt(68)*3 + (sqrt(68) - sqrt(68)*-3)*-3)**2)*3.\nAnswer: -99444 - 2592*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 897084?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**5 + 334*c**4 + 3455*c**3 + 581403*c - 24.\nAnswer: 40*c**3 + 4008*c**2 + 20730*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2201853939 a multiple of 379?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13463 in 0.8, -2\/11, 0.2, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 24, -4*u + 3*p + 38 = -2. Solve -s = 2*s + u*g + 1, 4*s = -4*g for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6 + 3 - -4)*1. Let y = d + 1. Let s(m) = 13*m**2 - 12*m**y + 5 - 1 - 2*m. Determine s(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7 - -5) + (-13)\/(-5))\/((-1)\/(-20)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -10*o + 6. Let q(i) = -9*i + 35*i - 13 - 5*i. Calculate -13*k(b) - 6*q(b).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**4 - 1497*x**3 + 3*x**2 + 1497*x.\nAnswer: -3*x*(x - 1)*(x + 1)*(x + 499)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 1)*(-d + 2*d - 2*d)*(-62168*d**3 + 126555*d**3 - 70651*d**3) to the form a*d + g + h*d**3 + u*d**2 + m*d**4 and give m.\nAnswer: 12528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2387*z + 2226*z = 483. Sort z, 0, 4, -3\/47.\nAnswer: z, -3\/47, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75039.54l in millilitres?\nAnswer: 75039540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n - 3*n**2 - 5 + 5 - 8*n + 5*n.\nAnswer: -3*n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*q + 3*h, q + 8 = 4*q + 4*h. Suppose 5*i - 7 = -5*k + 13, q = 5*i + k. What is a in -a - i - 1\/4*a**2 = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 616 - 3628 = -11*q + 145. Which is greater: 281 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of h**4\/12 + 7*h**3\/6 - h**2 - 3*h. Let g be k(-7). Is ((-30)\/g - 2)*5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k + 10. Let g be c(-7). Suppose -g*p**3 + 60 - 5*p**3 + p**3 + 72*p + 10*p**3 + 27*p**2 + 0*p**3 = 0. What is p?\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111111110001100110 - 1001?\nAnswer: 1111111110001011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-1)*4\/4. Suppose 3*m = m - 4. Which is smaller: m or h?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1232521351 - -5?\nAnswer: -1232521342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 70*i**3 + 3*i**2 + 3*i - 15. Let l(u) = -105*u**3 - 5*u**2 - 5*u + 24. Let j(g) = -5*l(g) - 8*q(g). Let m = 200 - 201. Give j(m).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2*l = -36, -l = 3*w + 2*l - 30. Suppose -d - 3*d = -w. Solve -19 = -5*z + d*n, 5*z - 13 = -3*n + 21 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-73\nAnswer: -29.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 8 = -0. Let x be (27\/(-18))\/(g\/24). Let q = x - -23. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 396 and 52272.\nAnswer: 52272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.141946*0.39\nAnswer: 0.05535894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12267254 by -6.\nAnswer: -6133627\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7656 divided by 6?\nAnswer: -1276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 2 + 2)*(3 + 2 - 6) - 2 + 0 + 1)*(2*r**3 - r**3 + r**3).\nAnswer: -10*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 33051 (base 9) to base 3\nAnswer: 1010001201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*k**4 - 9166*k**3 + 32244.\nAnswer: -8*k**3 - 27498*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**2 + 2*i**3 + i**2 + (-6*i + 5*i**2 + 6*i)*(-7 + 17 - 6)*(-1 + 2*i + 1).\nAnswer: 42*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 90236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 392*g + 365*g + 352*g + 357*g - 1490*g.\nAnswer: -24*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 25*h**2 + 1241*h + 66. Give k(-49).\nAnswer: -718","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 380968?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -5*g**4 - 115*g**3 - 810*g**2 - 1700*g - 1000 = 0?\nAnswer: -10, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**3 - 3*i**3 + 8 + 0*i**2 + 6*i**2. Let j(w) = w**3 - 5*w**2 + 7*w - 6. Let m be j(4). List the prime factors of q(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68915213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -14, -39, -76, -125, -186, -259?\n\"Answer: -6*z**2 - 7*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.303 to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2. Let v(t) = 5 + 5 - 10 + 3*t**2. Let s(n) = -n**2 + 4*n. Let o be s(4). Suppose -h + 2*h - 6 = o. Give h*i(y) + 3*v(y).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6711 = 16*d + 6441. Let k = d + 826. Factor 0*p - 4\/7*p**2 + 0 + 8\/7*p**k - 2*p**3.\nAnswer: 2*p**2*(p - 2)*(4*p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 286, 288, 290?\nAnswer: 292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4458 + -111?\nAnswer: -4570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 120 + 28 = 0, 10 + 0 = -4*m - h + 37 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.4106 + -0.9742. Let h = 2.5382 - j. Let a = h + -0.023. What is a rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of p**6\/180 + 2*p**3\/3 + 7*p + 74. Let f(y) be the third derivative of x(y). Let w(m) = 9*m. Determine w(f(s)).\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 546 and 14599?\nAnswer: 613158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 27 (b) 0 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pz when two letters picked without replacement from ppzzzphnpzzppzzzp.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 378 and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of a**3*g - 37*a**3 - 43829*a**2*g + 80*a**2 - 2*a*g - 3*g + 4 wrt g.\nAnswer: a**3 - 43829*a**2 - 2*a - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 35, 0, 780, -169, -2 in increasing order.\nAnswer: -169, -4, -2, 0, 35, 780","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand s - s - 2*s**2 + (2*s + 0 + 0)*(-s + s + 2*s) + 0 + 0 - 2*s**2 + (2*s**2 + 3 - 3)*(-1 + 3 + 0) + (11061 - 11061 - 743*s)*(5*s - 4*s + 4*s).\nAnswer: -3711*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -4\/7 (b) -28.1 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9\/1136887775 - 767702342406931\/140974084100. Let x = 27232\/5 + k. Calculate the common denominator of 73\/20 and x.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 12*r**2 - 11*r + 2. Let k(p) = -p**3 + p**2 - 4*p + 11. Let t = -1019 - -1019. Let q be k(t). Give m(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2616011 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6667 - 9882 = -12*s + 46367. Calculate the greatest common factor of s and 147.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 5*k - 33 = 0, 7*k - 2*k + 25 = 0. Let l = 3 + d. Let f = -1 + l. Which is bigger: f or -1\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-3))\/(20\/(-30)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*l + 2*p + 292, 4 = -p. Let r = 60 - l. Let h(x) = -17*x - 15. Let q(j) = 9*j + 8. What is r*q(f) - 6*h(f)?\nAnswer: 3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2083 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: Let q = 21.7 - 21.7. Which is the second smallest value? (a) 2\/21 (b) q (c) 29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2877302.011 rounded to the nearest ten thousand?\nAnswer: 2880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6953.377 rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 9555427*h**2 - 4*h + 5. Let t be c(2). Let m = t + -13021705. Suppose -8*s - m = s. Round s to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + (78 - 1) + -2. Suppose u + t = 5*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 + 0)*(-5*p**3 - 4*p**3 + 0*p**3)*(8*p + p - 6*p)*(6*p - 2*p - 2*p).\nAnswer: -324*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -88341, -88343, -88345?\n\"Answer: -2*r - 88339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 4*a + 3 + 2*a**2 - 1 + 0 + 0*a. Determine v(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of 3*t**5\/4 - t**4\/6 + t**3\/3 - t**2\/2 + 165*t. Give z(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (64\/(-352))\/((-24)\/(-22)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23966 and 92?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 4*l**2 - 4*l - 1883. What is x(22)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/1351686 and -80\/1255137.\nAnswer: 17571918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 2*h - 1. Let k(o) = o**3 - 6*o**2 + 5*o + 5. Let c be k(5). Suppose -3*r + 17 = 8*y - 6*y, -c*y + 17 = -r. Determine i(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-9\/8)\/f**(-26) assuming f is positive.\nAnswer: f**(199\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1380810 and 3682160?\nAnswer: 11046480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 + 23. Let k be ((-8)\/y)\/((-4)\/(-10)). Find the third derivative of -2*p**k + 4*p**5 - p**5 - 2*p**5 wrt p.\nAnswer: 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 210 divided by -42.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -5*b**2 - 5*b + 2. Let i be o(4). Let y(w) = -w**3 - 3*w**2 + 3*w - 5. What is the smallest common multiple of i\/(-16) + (75\/40)\/(-15) and y(-5)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 2) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -59.\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2926 and -0.9.\nAnswer: -2633.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1950\/275)\/13)\/(80\/264).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 2 - (-11 - -12). Let j be (-3)\/1 + (3 + 1)*y. Let p be (-4)\/(-2)*7\/2. Which is smaller: p or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 15411 (b) -19 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/20*(-40290)\/(-1422).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*k + 70 = 2*d, 0 = -11*d + 16*d + 3*k - 34 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 1 + 9 + 2*i)*(334 - 356 - 3*i + 0*i + 3 - 3 - i + i + 2*i - 2*i + (3 + 2*i - 3)*(-1 - 1 + 3) - 1 + 1 + 2*i + 0 + 2*i + 0 - 3 - i + 3).\nAnswer: 4*i**2 - 40*i - 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a decade in months?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120908*y = -120895*y - 416 for y.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 46\/9 at least 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m + 51 = 5*f, 6*f + 125*m + 25 = 9*f + 129*m for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 3 + 3 + 4 = 3*y, -y = -3*o + 4*y - 2*y + 12 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -102*j + 98*j - 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 432210?\nAnswer: -432215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q + 1. Let c be b(2). Suppose -34 = -5*a + c*r, 2*a = 3*r + 13 + 6. Is a a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2056 in 3\/7, 366, 2\/7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 550 - -1a?\nAnswer: 56a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 > -13\/42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/(-6))\/(55\/(-44)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(44)*2 + sqrt(22)\/(sqrt(6)\/sqrt(3))*-1.\nAnswer: -13*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -36*y**5 + 178692*y**4 - 169276957*y**3 - 130261929996*y**2 - 18984209728821*y + 38490818535362 = 0.\nAnswer: -1597\/6, 2, 2747","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q + 7. Let k be f(-9). Let j be (-1 - 3\/k)*(-756144)\/(-18). Suppose -b + 693 + 6304 = 3*w, 0 = 3*b - 4*w - j. What is b rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256 is divided by 24.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/940 and 48\/19223.\nAnswer: 384460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of 11\/210*j**6 + 8\/245*j**7 + 0 + 4\/105*j**5 + 0*j + 1\/84*j**4 + 3\/392*j**8 + 16*j**2 + 0*j**3. Factor g(m).\nAnswer: 2*m*(m + 1)**2*(3*m + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -2 + (-2 - -8 - -8).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 440 and 660?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1890)\/(-162)*(-12)\/(-10). Solve 27 = -3*s - 5*d, 4*d - 2 + v = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 142*i + 147*i - 78 = 0, 48 = 4*i. Solve -1\/7*g**2 + 17\/7*g - d = 0 for g.\nAnswer: 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -83*t**2 + 4*t - 4*t - 36*t**2 to y*t + g + r*t**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 5352?\nAnswer: -5401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -87317?\nAnswer: -4\/87317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180505?\nAnswer: 5, 13, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2353, 4991, 8065, 11797, 16409, 22123, 29161, 37745?\nAnswer: 48097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -11*s - 12. Let c(g) = -10*g - 14. Let h(r) = -4*c(r) + 5*o(r). Let d(q) = 15*q + 3. Give 4*d(v) + 3*h(v).\nAnswer: 15*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 - -0.1. Let k = -429 + 433. Which is the closest to 9? (a) j (b) -2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, l: 1, c: 6, u: 4}. Give prob of picking 2 c and 1 u.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -139957.4838 rounded to the nearest 100?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -13368, -44716, -96962, -170106, -264148?\n\"Answer: -10449*u**2 - u - 2918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19648 is divided by 53.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = p - 9. Suppose 0 = -p*u + 6*u. Solve 0 = -u*x + x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 38897\/9, 2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 4, -128\/3, -0.27, 451?\nAnswer: 451","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 999 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 8*g**2 - 13. Let n(f) be the second derivative of 13*f**3\/6 + 532*f. Calculate i(n(x)).\nAnswer: 1352*x**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.171457 rounded to three decimal places?\nAnswer: 0.171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9521 - -9517. Which is the nearest to 0.1? (a) u (b) 5\/6 (c) 7 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 310746327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6808)\/(-3128) + (-8)\/(3 - -1)?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 892663?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 9. Let k = 31 - 29.7. Let q = k + -0.8. What is the smallest value in w, 3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**3 - 13*r**2 - 102*r + 668. What is h(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8568 and 6783.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 266 - 48 = 176*r - 239 + 105 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3)*(-4*n - 6*n + 46658 - 46678).\nAnswer: 30*n + 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) - (sqrt(147) + -2*3*sqrt(147))) + (sqrt(147) - -6*sqrt(147)*-1) + sqrt(147))**2.\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147230 is divided by 229?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1189929?\nAnswer: 3, 13, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -4*g**2 - 24*g + 5. Let h be m(-6). Let i be ((-7)\/10)\/(h\/30). Is i at most as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 9*a**2 + 9. Let q be z(9). What are the prime factors of -3 - (-1932)\/q - 1\/(-3)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 36*p**2 + p - 1. Let s be w(1). Let k = 40 - s. Let g(v) = -2*v + 6. Determine g(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2399?\nAnswer: 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1498, 3012, 4508, 5980, 7422?\n\"Answer: -i**3 - 3*i**2 + 1530*i - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214 + 54 = 4*l. Let s = -50 + l. Let c = s + 8. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + h**2 - h + 1. Let a(u) = -2*u**3 + 10*u**2 - 4*u - 14. Let i(q) = -a(q) - 3*b(q). What is the remainder when i(-14) is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/2149 - -6437\/10745. Factor -j*q + 1\/5*q**2 + 0.\nAnswer: q*(q - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 240 + -50355131?\nAnswer: -50354451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*j**4 + 169521*j**3 - 1017045*j**2 + 1525527*j = 0. Calculate j.\nAnswer: 0, 3, 56501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 173\/140 - 52\/35. Which is the fourth smallest value? (a) q (b) -0.4 (c) 0.17 (d) -0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.076 - -167.\nAnswer: 167.076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -9 * 2717\nAnswer: -24453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11.6 - 13.564. Let k = z + -0.036. Let d be -4*1*(0 - 3\/(-54)). Sort d, k, -0.4, 3 in decreasing order.\nAnswer: 3, d, -0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/((-231)\/54))\/(4\/(-140)*-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11430.3354 rounded to the nearest 10?\nAnswer: 11430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 113 and 27.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15388574.\nAnswer: 2, 7694287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 2 j, and 1 n when four letters picked without replacement from {t: 1, j: 14, n: 5}?\nAnswer: 91\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-6))**(-1\/21)\/(c**8\/c**(-12\/11)) assuming c is positive.\nAnswer: c**(-678\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3059? (a) -80 (b) 0 (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of -2*p**2 - 3 + 1\/2*p**3 + 0*p - 1\/4*p**4. Let m(r) = -1. Give -k(z) - 3*m(z).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 y when three letters picked without replacement from {x: 3, y: 1}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 3*s - 140, -s + 175 = 4*r + r. Solve 5*w - w - 3*a - r = 0, a - 5 = -2*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of i**3 + 1. Let f(m) be the third derivative of 0 + 0*m**3 + 0*m - 11*m**2 - 1\/24*m**4. Calculate n(f(x)).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 13*i**3 - 2*i**2 + 2*i - 3. Let g be u(2). Suppose -3*k = -419 - g. What are the prime factors of k?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 255 + -759. Let i be 1*2 + k\/261. Suppose 3*t = 2*t + 1. Does i = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8966 - -8967. Which is the fifth smallest value? (a) -2 (b) 0 (c) p (d) -2\/17 (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 times 0.2357?\nAnswer: 123.7425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3148 - 1814. Suppose -2*p + q = -2*c, -5*p - 70*c + 71*c + 3331 = 0. What is the hundreds digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2170?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-994)\/(-2))\/(-71) + 240\/34?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + sqrt(11) + -1 - sqrt(11))**2.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 0 + sqrt(3) - (1 + sqrt(3))*-6.\nAnswer: 6 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-5*4\/55)\/((-4)\/44)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(1573) - (sqrt(1573) + 0 - sqrt(1573)) - sqrt(1573))**2 + (5*(sqrt(1573) - (1 + sqrt(1573) + sqrt(1573) - sqrt(1573) - sqrt(1573))))**2.\nAnswer: -550*sqrt(13) + 39350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1, 26, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -468, -1759, -3902, -6897?\n\"Answer: -426*w**2 - 13*w - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-4))\/(14\/420*-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - ((0 - 2) + 3). Suppose -1 = -j*o + 9. Suppose -2 = o*w + 4*a - 0*a, -4*a = 4*w + 4. Solve 5 = 5*h + w*v - 4*v, -2*v = -h - 7 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 424 and 30?\nAnswer: 6360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 354293?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8895 - -195795\/22. What is the common denominator of l and ((-1)\/10)\/((-36)\/1830)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 54 = 22. Let p be f\/(-7) + 4\/7. Is ((-2202)\/9)\/((-4)\/p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0025917 to five dps.\nAnswer: -0.00259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*t + 153 = -68. Solve -2*d - 24 = -5*g, -4*g + t = 4*d + 5 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13.3 + 14. Let u = a + -2.15. Round u to 1 dp.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 - 28 = 5*t. Suppose 2*a - 4 = -t. Suppose 0 = 2*l - 4*f - 6 + 4, 0 = 4*l - a*f - 16. What is the second biggest value in l, 1, -2, -1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1491 divided by -497.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-214)\/(-4)*(-6)\/(-9). Let n = 36 - o. Let t = 0.2 + -0.7. Put t, n, -3\/5 in increasing order.\nAnswer: -3\/5, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/80 and -57\/24424.\nAnswer: 244240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/4, -5, -1\/6, 138?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 71?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -7 - 1 - 55\/6\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o. Let x(w) = -8715*w. Give d(x(l)).\nAnswer: -17430*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-32 - -39) + (-100)\/11 + 3.\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 12 = p - 11, -9 = l - 3*p. Let w be 0\/1 + l + -2. Factor -4*s**3 + 2*s**4 + w*s - 4*s**4 - 2*s**4 + 4*s**2.\nAnswer: -4*s*(s - 1)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 612215 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a year in months?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 + 0)*(-2*u + 8 - 7 + 8*u) + 0*u - 4*u + 2*u + (3 + 1 - 3)*(-4*u + 4*u - 2*u).\nAnswer: 14*u + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of 0*h**5 + 30*h + 0 + 0*h**4 - 93\/2*h**2 - 1\/30*h**6 + 0*h**3. What is the derivative of f(w) wrt w?\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*f + 99 = -6*f - 141. Sort -3, -6, f, 21, -1 in descending order.\nAnswer: 21, f, -1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17358\/107 >= -163?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-18)*21\/7 - 0. Let q = 37\/220 + 3\/220. Which is the nearest to -0.1? (a) -7 (b) q (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -680\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9263326 + 5?\nAnswer: 926332b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 36403579*m**2 + 43*m**3 - 5*m**3 - 36403580*m**2. Suppose -4*c = c + 3*d + 2, c = 3*d - 4. What is q(c)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -4*z - z + 93, 92 = 5*z - 2*f. What is the highest common divisor of 6 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -5 - (2 + 7 - 4)) + -3 - -35.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 606, -4, -2, 620, -1 in decreasing order.\nAnswer: 620, 606, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32.6 - -33.6. Let q = 6.02 - 1.02. What is the smallest value in c, q, 4, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + -3*sqrt(832)).\nAnswer: -6 + 144*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/13040 and -187\/240.\nAnswer: 39120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10130 is divided by 352.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 762293477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + 14*f + 49. Let j(n) = n**3 + 6*n**2 - 6*n - 45. Let a be j(-6). Let t be i(a). Solve -3*c - 18 = -5*l, -2*c - l = -t*c - 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 6*d = 51, 3*o + 3*d - 1850 = -1874 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1175 + 0.12. What is b rounded to four decimal places?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of 0 - 4\/3*g**4 - 3\/2*g**2 + 30*g + 0*g**3. Differentiate h(w) with respect to w.\nAnswer: -32*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-1)\/t)\/t**(-5))\/(t**(-1\/3))**(-19\/5)*((t*t**(-2))\/t)**40*(t**(2\/3))**(2\/79) assuming t is positive.\nAnswer: t**(-91541\/1185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63458?\nAnswer: 2, 31729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 0 + 1 - 11*l**2 - 13*l + 22*l - 8*l. Determine r(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 5*t = -25 + 12, -m + 5*t = -1. Let x = 100.57 - 1.57. Which is the third smallest value? (a) 1\/7 (b) x (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*4*sqrt(1911)*-2)\/(((2*sqrt(363) - sqrt(363))*4 - sqrt(363))*2).\nAnswer: 140*sqrt(13)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1222 is divided by 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*i + 252 = 689 for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 463 = 3*x + 3*p, 4*p + 126 = x. What are the prime factors of x?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 - 292*a + 10658.\nAnswer: 2*(a - 73)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*l + 16 + l + 5 + l.\nAnswer: 10*l + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247 is divided by 54.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 - 16 + 15)*(0 + 0 + 1)*(5*c**4 - 2*c**4 - 2*c**4) in the form h*c + z*c**3 + f + u*c**4 + x*c**2 and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 310431516?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 3:26 PM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 12646*x**3 - 12644*x**3 - 4 + 2.\nAnswer: 2*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36 + 37.1. Let u = 1.3 - k. Let m = -6 + 6.4. What is the closest to 1 in m, u, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -57249 - -60.\nAnswer: -57189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 62458.04 days in minutes?\nAnswer: 89939577.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 3*p - p)*(p**4 - p**2 + p**2) + 5*p**5 - 13*p**5 - 7*p**5.\nAnswer: -13*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -3, 6, 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/162 and 28\/1823445.\nAnswer: 10940670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 161*p - 163*p = -18614, 0 = 5*d + 2*p - 93102. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 9:34 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -875, -1883, -2957, -4097, -5303?\nAnswer: -6575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n + 3. Let h = 281 + -140. Let r = 136 - h. Calculate v(r).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 5*l + 68 - 31 = 0, 0 = 2*l - 12. Put -18, 23, b in decreasing order.\nAnswer: 23, b, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6208038 decades to years.\nAnswer: 6.208038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 80 = 2*m - 2*y, 0 = m + 2*y - 23. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 9*n + 1. Let a(b) = 10*b + 1. Let q(i) = -a(i) + y(i). Let v(o) = -6*o**2 + 2*o**2 + o**2. Calculate q(v(f)).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*c - 35*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -29477*m + 10481 wrt m?\nAnswer: -29477","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 151 - 784. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oohooooho. Give prob of sequence hoh.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 3*l + 3 - 11)*(2 + 16 + 1) as o + i*l and give o.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/35? (a) -2 (b) -1\/5 (c) 3 (d) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -59014 - -39414. Round i to the nearest one thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**3 - 9*h**2 - 7*h - 14. Let g = 212 + -207. What is z(g)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -693*q - 60 = -708*q. Find l, given that -q*l**3 + 4*l**5 + 4\/3*l**4 - 4\/3*l**2 + 0 + 0*l = 0.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - l - 1. Let z(i) = 2*i**3 - 3*i**2 + 4*i + 4. Suppose -5*p + 371 = -114. Let b = p + -101. Determine b*u(v) - z(v).\nAnswer: 2*v**3 + 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (32 - -1) + 11 + -4 + -5\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -k + 365. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -2*o - 9, -10*l = -14*l + o - 18 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1821912 is divided by 1326.\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 270059934355 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31429 + -18474. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -886.790514 rounded to the nearest 10?\nAnswer: -890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0011836632 to 6 decimal places.\nAnswer: 0.001184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1734)\/(-2023) + 3914\/7 is divided by 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 19 = -c - 2*c, -10 = -2*c + 5*d. Let n = c - -10. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b - 2379 + 1176 = -1158, -4*o + 53 = -4*b - 35 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - m + 6 = -0*z, 6 = -4*z - m. Let o be (-16)\/20 + (-5 - -6). Which is the third biggest value? (a) 4\/7 (b) z (c) o (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00620616 rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 231521, 463616, 695711, 927806, 1159901?\n\"Answer: 232095*y - 574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1864.07 to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -100067753 - 0.015374.\nAnswer: -100067753.015374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 0. Let d = k - -1. Let f = d - 3. Sort -3\/7, f, 2 in decreasing order.\nAnswer: 2, f, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1223 - -1222. Which is the closest to -2? (a) -1\/6 (b) -5\/6 (c) v (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18748 - 1.\nAnswer: -18749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 4*f**2 + 3. Let s be b(4). Let a be (-12)\/15 - 24\/(-5). Solve -a*q = -m + 25, -m - s*m = -q - 25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/14)\/(3\/(-4)). Suppose 0 = 2*o + 4*h - 2, -3 = 2*o - 5*h + 4. Which is greater: v or o?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3*h = 1172, -h + 135 + 451 = 2*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 - 0.6. Let i(r) = -1110*r - 8876. Let o be i(-8). Which is the third smallest value? (a) 0.06 (b) 0 (c) u (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32188 divided by 2476\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2436*w - 25347 + 83811 for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1270489322 a multiple of 6972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 1:30 PM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/5, -3\/8, -104, -5 in ascending order.\nAnswer: -104, -5, -3\/8, 7\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 27951.71 millennia?\nAnswer: 279517.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 73 + -72.7. What is the second smallest value in 5, 4, 1, l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1344 divided by 3?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 12:03 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (-185)\/25)\/((-9)\/(-15))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 15 - 15 - 499*t + 48 + 489*t.\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + -5*(sqrt(76) + (1*sqrt(76) - sqrt(76))) + -2*-2*sqrt(76))\/(sqrt(324)*2 - (sqrt(324) - sqrt(324)*2 - sqrt(324) - sqrt(4))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of j**4\/4 - 979*j. Let g(n) = -5*n**2 - 21*n. What is g(i(h))?\nAnswer: -45*h**4 - 63*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -z - 5*q, -q + 2 = -z - 2 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 23228 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y + 162*y**4 - 50*y**3 - 171*y**4 + 51*y**3 + (y**3 - 2*y**3 - y**3)*(2*y + y - y).\nAnswer: -13*y**4 + y**3 - 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**2 + 15*v**2 - 14*v**2.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -1. Let c be (-34)\/m - (-3)\/(-6). Suppose c*x - x = 189. Calculate the remainder when x is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 4090492\nAnswer: 1636196.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t + 5*j = 3*t + 13, 3*j = 5*t - 7. Let q be 2\/5 - 13\/(-5). Let b = 8 - q. Calculate the lowest common multiple of b and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1494)\/216 + 6 - 1\/(-4).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 14 = p + 3*l, -3*l = 5*p - 70. Calculate the lowest common multiple of p and 30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29.9999871 + -30. Round h to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -27079544 smaller than -27079546?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.3 - -0.3. Let v = 2.5 + 1.5. Let a = v - o. What is the biggest value in -2\/9, a, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l + 5*l - 3*l - 3*l + 3*l + 7*l.\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.89074 + 0.7165. Let z = -1.61 + c. Round z to 4 decimal places.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 544 and 299456.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 3 - 47 - (-353 + 374)\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4162.8 times 0.1?\nAnswer: 416.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 4:31 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 168 + -163. Does 8 divide (u - 4249\/(-10)) + 1\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -103 (b) -0.4 (c) -0.3 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + 3. Let v(w) = w**2 + w - 1. Let y be v(1). Solve -3*b - 3*a = -12, 2*b - i = -4*a + y for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**2*n - a**2*q**3 + 2*a*q**3 + 103842*a*q - 5*n**2*q**3 + 38123*n**2 + 2*q**3 - 2*q with respect to n.\nAnswer: a**2 - 10*n*q**3 + 76246*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 23 = 5*y, -2*r = 3*y - 7 + 25. Let o(a) = a**2 - 2*a - 4. Give o(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*18827.\nAnswer: 56481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 72952582883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -106*y**3 + 11*y**2 - 26*y. Let z(c) = -35*c**3 + 4*c**2 - 9*c. Calculate -4*n(t) + 11*z(t).\nAnswer: 39*t**3 + 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 58713026861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7, -17, -29, -43, -59?\n\"Answer: -o**2 - 7*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 209265771 a multiple of 507?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -203 + 252. What is the lowest common multiple of 42 and x?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by 48\/8*63\/6?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2884799 + 19616633289\/6800. Calculate the common denominator of 99\/80 and w.\nAnswer: 6800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -770*l + 8525 = -765*l. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15421 + q + 15421.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -512.192 to the nearest integer.\nAnswer: -512","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -20*w + 47. Which is the third smallest value? (a) w (b) -8\/19 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.344 times -837?\nAnswer: -287.928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0*s**3 + 5*s**4 - 2*s**3 + s**3)*(0*s + 0*s + s).\nAnswer: 5*s**5 - s**4 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9\/13 - -29\/52. Is 1 at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19\/4 - -65\/12. Let d = -2\/15 - -79\/30. Which is the second smallest value? (a) d (b) n (c) -1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 863, 1888, 3077, 4430, 5947?\n\"Answer: 82*n**2 + 779*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 3*u**2 + 2*u + 2. What is the units digit of x(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 189724.2mm?\nAnswer: 189724200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 20, -5, -6 in descending order.\nAnswer: 20, -1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1469, -0.4, 0.123, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -73 + 8 - 23 - -115\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1178078259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3294 - -4207. Is a a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41*h**2 - 6*h**2 + 16*h**2)*(4 - 1 - 1) + (-h + 0*h - 2*h)*(-2*h + 0*h + 4*h) + h**2 - h**2 + 3*h**2.\nAnswer: -65*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2720 - -3740. Is 34 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 32*t**2 - 199*t + 3193. Give x(35).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2*d - 5728 = 0, 5287 + 3289 = 3*c + d. What is the thousands digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-62)\/93)\/(9\/324).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -673, 3, 1, 0 in decreasing order.\nAnswer: 3, 1, 0, -673","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 25 = 5*k, 20 = -4*g + 4*k - 0*k. Solve m + 5 + 0 = g for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + q - 780 = 0, 0*q = 4*k - 2*q - 624. Suppose -k*r + 1845 = -151*r. What are the prime factors of r?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - 1)\/((-3)\/(-6)). Let g be (z\/(-8))\/(65\/20). Which is smaller: 1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.2 + 1.2. Let q = m - -5.4. Let c = -11246\/7 - -1607. Sort c, 0.1, q, -0.5 in increasing order.\nAnswer: -0.5, 0.1, q, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, m: 4, a: 4}. What is prob of picking 2 m?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 2554, 5 in decreasing order.\nAnswer: 2554, 5, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2508 is divided by 1243.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3091 plus -1725?\nAnswer: -1724.6909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.18 + -0.02. Put 1, -1, s in descending order.\nAnswer: 1, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21908?\nAnswer: 2, 5477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5172 - 5104. Calculate the remainder when 241 is divided by g.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12939*v + 151 + 133 + 12939*v - 8*v**2 - 281.\nAnswer: -8*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 290 - 165. Suppose -4*h - a + 892 = 0, a = h - s - 98. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157700*w**2 + 79207*w**2 + 79588*w**2.\nAnswer: 1095*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 195030, 390061, 585090, 780117?\n\"Answer: -o**2 + 195034*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20124 (base 5) to base 11.\nAnswer: -a72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -56.\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3666)\/(-2808)*-36*2\/3*6\/2?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/1647 and 74\/549.\nAnswer: 1647","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p - 28. What is y(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9017.406 hours in milliseconds?\nAnswer: 32462661600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1780540445?\nAnswer: 5, 19, 73, 13513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1256 = 16*w - 20*w. Suppose 0 = 5*k - w - 346. Does 31 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 20 - 8 - (9 - (-88)\/40)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -201212 (base 3) to base 9\nAnswer: -655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of 9*j**4\/2 + j**3\/3 + j**2\/2 - 2*j + 549. Calculate l(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42 - (34 + -17 + 20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-528)\/(-3300)*10\/(-4))\/(2\/90)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -4. Suppose 0*s + 3 = s. Suppose w + s*w = 8. Put -2, w, u in descending order.\nAnswer: w, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 529 is divided by 172?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h**3 - 4*h**3 + 4*h**3)*(118 - 215 + 174) to b*h**3 + r + a*h + v*h**2 and give b.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1286.\nAnswer: 2, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-60))\/(((18\/30)\/3)\/1)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*((-4)\/(-6) + -1). Let k = -32 - -21. Let p = 23\/2 + k. What is the third biggest value in 0.3, p, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 169, 20, 0 in decreasing order.\nAnswer: 169, 20, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gngngnnnngngn. What is prob of sequence nngn?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 6*l**2 - 8*l. Let c(s) = 11*s + 6*s**2 - 6*s - 10*s**2. Calculate -8*c(z) - 5*y(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnnnnn. Give prob of picking 2 n.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 792 = 114. Calculate the greatest common divisor of 2260 and x.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -561 + 10157\/18. Let d be (32\/60)\/(12\/(-3310)). Let t = 143 + d. What is the common denominator of g and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 57195 and 26691?\nAnswer: 400365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/27 in -3, 1, 0.3, -2\/165?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -215944630 by -43188926.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 6*z + 3. Let p be f(9). Let d be (-15)\/p*4\/(-14). Is -2 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - y**2 - 2*y + 1759. Is l(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eaphpedddp. Give prob of picking 1 a and 1 p.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12236?\nAnswer: 2, 7, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4*a + 5)*(0*a + 0*a + a**3).\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 220067?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 535*y - 119*y - 252*y)*(5*y**3 - 8*y**3 - 6*y**3 + 0*y**2 + 0*y**2 - 2*y**3 + (-2*y**2 + 0*y + 0*y)*(-y + 4*y - y)).\nAnswer: 13590*y**4 - 15*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 + 2*x**2 - 3*x**2)*(4*x - 13*x + 7*x + (3*x - 6*x + x)*(-3 + 1 - 1) - x + x - x).\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19744 + -19733. Calculate the least common multiple of l and (-34*(-2)\/2)\/1.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -2*n - 180, -4*n - 396 = -4*y + 5*y. Find the common denominator of 55\/54 and (-70)\/35 + n\/18.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-19 + -38 - -73) + 40\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -1063*s - 4285. Calculate y(-4).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -4*l**3 - 3*l + 1. Let i(g) = 5*g**3 + g**2 + 4*g - 2. Let q = -12 + 6. Let n = -3 - q. Let y(z) = n*i(z) + 4*f(z). What is y(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 10*a**3 + 1. Let y(g) = g**2 - 6*g - 9. Let o be y(6). Let q be 10\/6 + 6\/o. Calculate s(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-2)*(14\/70)\/1*95.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*v - 20 = 5*b - 76*v, -7*v = 5*b - 0*b + 20 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -3*b + 4*i + 2976, 0 = 2*i + 6. Let q = -612 + b. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37766.\nAnswer: 2, 23, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + 37.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*(8 + -12 - (-3)\/1). Find the second derivative of 3*y**2 - 463*y**3 + y**2 - 460*y**3 + 89*y + 931*y**n wrt y.\nAnswer: 48*y + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 192198 and 36387.\nAnswer: 933","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 o when two letters picked without replacement from {o: 2, t: 1, a: 1, p: 1, g: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3*l + 22. Let q be v(10). What is the units digit of -1 - 52\/q*10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l**2 - l + 1. Let c be v(1). Suppose -3*b + 3*g = -213, c*g = b + g - 61. Suppose -4*h = -0*h - b. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.9849945 rounded to two decimal places?\nAnswer: -21.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32670 divided by 6.\nAnswer: -5445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2 - 408346*k.\nAnswer: -k*(k + 408346)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/(150\/(-36)) + -9 + -1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -1\/120*r**6 + r**2 + 0*r**3 + 1\/12*r**4 + 1\/70*r**7 - 1\/336*r**8 + 0*r + 0 - 1\/20*r**5. Suppose f(h) = 0. Calculate h.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8465*n**2*p + n**2 - n*p + 5*n - 99*p wrt n?\nAnswer: 16930*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.01829 - -0.01829. Which is the closest to -1? (a) 4 (b) o (c) 1\/4 (d) 2\/1061\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + 3*(-6)\/9. Which is the closest to -2? (a) 3\/2 (b) -1\/3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3*x + 31. Determine c(-19).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + 2*w - 3. Let x be l(2). Solve -3*g + 12 + 23 = 4*n, -3*g + 2*n = -x for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, e: 1, g: 1, f: 3, b: 1, r: 2}. What is prob of picking 1 r and 1 b?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*l + 0*l + 2*l)*(-2*l - 6761 + 2240 + 2356) to the form n*l**2 + f*l + y and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10\/(-30))\/((-1)\/9). Let c(f) = -19*f**3 + 7*f**2 + 7. Let i(w) = -9*w**3 + 3*w**2 + 3. Give r*c(n) - 7*i(n).\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 135149541?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b + 218*f - 216*f + 13, -f - 42 + 33 = -2*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (36\/60)\/(2\/60). Suppose 2*f - p + j = 0, 0*f - 4*p + 2 = 2*f. Let k be 12\/7 - 2\/f. Which is the closest to -1\/4? (a) 0.1 (b) k (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and 416.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y**3 - y**2 + 5*y - 5. Let b be w(2). Solve -b = -4*v - 9 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 399347 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of -1\/7*h**3 - 20 - 2\/7*h**2 + 4\/21*h**4 - 3*h - 3\/70*h**5. Let n(v) be the first derivative of f(v). Factor n(x).\nAnswer: -2*(x - 2)*(x - 1)*(3*x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 88619.738 to the nearest one thousand.\nAnswer: 89000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -910 = 456*l - 638*l. Solve -8\/9*k**2 + 2\/3*k**3 + 2\/9*k**l + 0 - 8\/9*k + 8\/9*k**4 = 0 for k.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 20 + 31. What is the remainder when 39 is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 345 - 600. Let r = -178 - d. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.027 + -4.227. Let v = 3.55 + 0.45. Let g = i + v. Which is the third biggest value? (a) 1 (b) g (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2912, 6718, 17112, 37388, 70840?\nAnswer: 120762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 7:23 AM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 20 = 4*i. Suppose -i*a + 2*a - 5*w + 19 = 0, 0 = -5*a + 3*w + 179. What is the remainder when a is divided by 4*2*(-6)\/(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 166.11 + -163.1198. Let p = 2.97 - c. What is p rounded to 3 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3\/97 - -112\/485. Determine o, given that -y*o**2 + 1\/5*o + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10703 or 0?\nAnswer: 10703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -784*t + 1020 = -716*t for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0729 to three dps.\nAnswer: -0.073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = y, -5*w - 3*y = -35 - 0. Let k = 22 - -3. Suppose -5*v = c - k + 7, 0 = -v - 2*c + 9. Solve -v = -3*a + 5*a - 3*s, 4*s = 3*a + w for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -8. Let v be ((-3)\/4)\/3*3. What is the closest to 1 in v, 0.2, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93476625 divided by 499875.\nAnswer: -187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1416 divided by 24.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -96101097*w**3 + 81692*w**2 - 56*w wrt w?\nAnswer: -576606582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a gram in micrograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/100?\nAnswer: -1\/100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3014422266?\nAnswer: 2, 3, 8737, 57503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7.4 and 5?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -168.3? (a) 3 (b) -11 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8400 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.06 + -0.06. Let x = 3.97 - 0.17. Let o = 3.3 - x. Sort o, -0.1, w.\nAnswer: o, -0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of d**5\/12 - 5*d**4\/24 + 11*d**2\/2 + 2*d. Let u(i) be the first derivative of q(i). Suppose u(c) = 0. What is c?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q + 1. Let s be o(-4). Suppose -3*b = -2*b - s. Let y(r) = r**3 - 6*r**2 + 6*r + 3. Let u be y(b). Solve 4*m + 10 = -2*z, 3*z + u = -0*m + m for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (21\/5)\/(5\/25). Suppose 9*h - t = 2*h. Suppose 0 = -h*s + x + 127, 0 = -2*x + 4*x + 2. Calculate the remainder when s is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 u when three letters picked without replacement from uuppbnfuufupupbgp?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3000 - 3005. What is the third biggest value in 0.04, j, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5349*(2 - (-2035)\/33) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-7)*(z\/(z\/(z\/((z**(1\/6)*z)\/z))))\/z)\/((z\/(z**(-1\/9)*z*z*z))\/z*(z\/(z**6\/z)*z)\/z*z))**14)**(35\/6) assuming z is positive.\nAnswer: z**(-5635\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 42*p**2 - 3*p + 2. Let g(v) = 83*v**2 - 7*v + 5. Let o(t) = -3*g(t) + 7*z(t). Let i = -24 - -47. Calculate the remainder when o(1) is divided by i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5 - 7 = 0. Suppose g*o - 20 = -0*o. Calculate the remainder when 13 is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(-5 - -3)*-10. Let b = p - 7. What are the prime factors of b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 5\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2642 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of -70*q**2 + 0*q + 23\/6*q**4 + 0 - 25\/3*q**3. Differentiate x(w) with respect to w.\nAnswer: 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -41\/7 + 211\/42. Let g = -9 + 0. Let m be (-2 + 2)\/(g - -5). Are c and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.2978202 millennia?\nAnswer: 297.8202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -296.5 minus -2?\nAnswer: -294.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, r: 3, s: 1}. What is prob of picking 2 m and 1 r?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2625 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 14) to base 2.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3171 is divided by 3153?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 9. Let q = z + -6. Solve 3*a - 1 = q*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1349 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 35\/3? (a) -14 (b) 8\/5 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(15)*-2)\/((sqrt(20) - sqrt(140)\/sqrt(7)) + sqrt(20)).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -13*z**2 - 70*z + 302. Give b(3).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.154951 to 3 dps.\nAnswer: 0.155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4*p**2 + 24*p - 18. Let d be l(5). Solve d*h = -4*k + 6, -h - k + 6 = 4*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-1)\/(-2))\/(15\/180) is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/2 and 372.45 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 - w**3 + 68 + 0*w**3 - 4.\nAnswer: -w**3 + 92","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.11 + 0.09. Let m = -2\/359 - -732\/2513. What is the second smallest value in b, -4, m?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 - 67 = 2*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 468\/264 + 189\/(-693)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 7*s**2 - 9*s - 11. Suppose -2*r = -5*w + w + 16, -5*w = -5*r - 35. Let z be o(r). Calculate the highest common divisor of 56 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -591 + 669*h - 455 - 332*h - 340*h.\nAnswer: -3*h - 1046","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j**2 + 3*j. Let l be x(-2). Suppose m = l + 3. Calculate the highest common factor of 36 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7398 to the power of 1\/2, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + k + 1. Let v(u) = -4*u**3 + 26*u**2 + 4*u - 24. Let q(b) = 2*r(b) - v(b). Factor q(t).\nAnswer: 2*(t - 13)*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 309*q + 24 = -b + 2*b + 313*q, 0*b + 0*b + 5*q - 20 = 0 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i**3 - 2*i**2 + 2*i - 2. Let f be 82\/(-10) + 1\/5. Let d(l) = l + 2. Let y be d(f). Let x(h) = 4*h**3 - 3*h**2 + 3*h - 3. Calculate y*n(q) + 4*x(q).\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/768 and -31\/24?\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -239*q + 1197. Let a be k(5). Suppose 5 = x + 1, 3*d - 278 = x. What is the greatest common divisor of a and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 25330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4953 and 5461?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00324685 rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 102*z + 7 - 7 + 231*z - 147*z.\nAnswer: -18*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -6*s**4 - 56*s**3 + 132*s**2 + 248*s + 66 = 0?\nAnswer: -11, -1, -1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*m + 5392 = 8717 for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7\/3 + (-52)\/39. Let m(t) = -t**2 - 14*t + 7. Calculate the remainder when m(-10) is divided by c*-1 - (-14 - 5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 657963852 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)*2 - sqrt(72)) + sqrt(72))**2 + -3 + 4 + sqrt(72) + 0.\nAnswer: 6*sqrt(2) + 289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - -22) + (4 - 4). Let s be (-2585010)\/55 - (-4)\/f. Round s to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 274014322 - 0?\nAnswer: 274014322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -2*l + 248. Suppose -5*o - 223 = -w + 5*w, 0 = -4*w + o - 253. Let s = l + w. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of b**8\/112 - b**7\/35 + b**5\/10 - b**4\/8 - 70*b**2 + 2. Factor k(q).\nAnswer: 3*q*(q - 1)**3*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2. Suppose -2*r - 12 = -4*k, -3*k + 15 = 2*k + 3*r. Suppose 10 = 3*y - 5*p - 45, k*p = -15. Let d(v) = 33 - 33 - y*v. Calculate z(d(u)).\nAnswer: -100*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 15 = 0, -w - w - 4*b - 22 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 50370 - -27978. What is the thousands digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ck when two letters picked without replacement from {q: 3, g: 6, p: 7, c: 2, k: 1}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 7*b + 35. Let d(r) = 21*r + 92. Determine 3*d(t) - 8*w(t).\nAnswer: 7*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1456859?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - -17 - (-6 - -6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39980 is divided by 2008.\nAnswer: 1828","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q + 1. Let i(s) = 97*s + 4. What is 6*g(w) - i(w)?\nAnswer: -85*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188 is divided by 58?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - 3*o**2 - 5*o + 250. Calculate the least common multiple of f(0) and 300.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 4 + sqrt(99) + sqrt(44)\/sqrt(4)*-1 + sqrt(11) + 3 + -3)**2.\nAnswer: 30*sqrt(11) + 124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 60.51 - 60.61. Let i(u) = u - 5. Let y be i(4). Which is the fourth smallest value? (a) y (b) k (c) -1\/6 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101759381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r = 7*r + 25. Suppose -5*h + 488 = b, -402 = 4*h - 8*h + r*b. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f**2 + 87*f**2 + 340*f**2 + 2 - 2 + f**2 + (2*f**2 + 1 - 1)*(4 + 0 - 2) + 2 - 2 - f**2 to n*f + x*f**2 + m and give x.\nAnswer: 431","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 11*h - 8. Suppose -z + 5*l - 41 = 0, 4*l = 4 - 0. Let s = 32 + z. Is 4 a factor of k(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, x: 6, p: 1, i: 1, d: 4, o: 1}. What is prob of picking 2 d?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304) + -3)*1 - ((sqrt(304) - (sqrt(304) + -1 + -5)) + sqrt(304) - sqrt(304) - sqrt(304)))**2.\nAnswer: -144*sqrt(19) + 1297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24\/4 + 3 + -5. Solve -2*v + 4*d - 2 = 0, 5 = -3*v + l*d - 2 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.123 + 26.377. Let d = w - 28. Let u = d - 4.9. What is u rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95.35451 years to months.\nAnswer: 1144.25412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1631676440 to the nearest integer?\nAnswer: 1177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**4 - 2*w**4 + 0*w**4)*(-1 + 3 - 1) + 4*w**4 - 6*w**3 + 6*w**3 + (2*w + 3*w - 3*w)*(w**3 + 0*w**3 + w**3) + 9*w**4 - 16*w**4 - 9*w**4.\nAnswer: -10*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 2\/3 (b) -2\/99 (c) 0.5 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 5*i + 4. Let a be m(4). Suppose -v + 1 = -a*v. What is the remainder when 6\/8*52\/39 is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4018282, 4018287, 4018292, 4018297?\n\"Answer: 5*w + 4018277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 469 a factor of 14297676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 66666.3457 to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.2833 - 149617\nAnswer: -149617.2833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -10009002 divided by 2\nAnswer: -5004501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 1542*g**2 + 52275*g - 5195. What is s(-34)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) 3\/4 (b) -0.2147 (c) 3 (d) 1\/4 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 9:40 AM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -5 (b) 1\/7 (c) 28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*x - 2204 = 12*x - 6*x for x.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {a: 11, n: 9}?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17110779*-5.\nAnswer: -85553895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c7 - -10?\nAnswer: d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) + (sqrt(147)*-1)\/sqrt(7))\/(sqrt(75) - 4*sqrt(75)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 881170*g**3 + 1205242.\nAnswer: 2643510*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8747161?\nAnswer: 239, 36599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 9:31 PM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 5 = 4*w. Let l = -4.56 + 4.76. Sort l, w, 0.07 in descending order.\nAnswer: w, l, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2)*(-4*t - t + 6*t) - 3*t + 2 + 4*t + 2*t.\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1\/5)\/(r*r*(r**(4\/9)\/r)\/r*r*r*r)*(r\/r**(-4))\/r**(-4)*(r**(1\/3))**(-9)\/(r*r**(2\/7))**45 assuming r is positive.\nAnswer: r**(-17483\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 193585423 to the power of 1\/3, to the nearest integer?\nAnswer: 578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3904536?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -7*l**2 - 9*l - 9. Let y(c) = -8*c**2 - 11*c - 10. Let o(p) = -6*u(p) + 5*y(p). Calculate o(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11247020*f**3 + 13*f**2 - 16*f**2 - 2*f**4 - 11247642*f**3 in the form j*f**2 + x*f**4 + v*f**3 + q + m*f and give v.\nAnswer: -622","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(5040) - (sqrt(5040)*-2 + sqrt(5040)))*3)\/((sqrt(224)\/sqrt(4))\/sqrt(2)))**2*5.\nAnswer: 32400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 5*d + 3470 = 0, 0 = 2*b + 3*d - 8*d - 1382. Let h be -4 - (b\/(-4) - 2). Suppose -144 - h = -4*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - 11. Let i = 29 + s. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20012120020 (base 3) to base 5.\nAnswer: -12402104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**2 - 15*m - 15. Let z be l(-6). Let t be ((-1946)\/(-42))\/(1\/z). Is (-9)\/6 - t\/(-2) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (3 - (3 + -6)) - -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, -2, -29, -505, 3 in descending order.\nAnswer: 40, 3, -2, -29, -505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 6*y + 3. Let b be 4\/(-5)*(-25)\/(-30)*y. What is the remainder when b + 3 + 112 + 15 is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-24)\/(-80) + (-3)\/(-10). Suppose 0*p - p - 7 = -f, 5*p = -4*f + 10. Suppose 0*z + f = -z. Put -0.4, z, d in descending order.\nAnswer: d, -0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)\/(sqrt(12)\/sqrt(6)*-1))\/(sqrt(5) - -2*sqrt(500) - sqrt(5) - (sqrt(160)\/sqrt(4))\/sqrt(8)).\nAnswer: -sqrt(5)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 510 + 669 = 37*v + 254 for v.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3512 * 4672\nAnswer: 16408064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*w**3 - 1 + 14*w**3 - 2*w - 2*w**2 + 7*w**3 + w**2 to the form n*w + q + s*w**3 + v*w**2 and give s.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a year?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 6*s - 1 - 5*s + 7*s**2 + 1 + 2. Suppose 2*k = -13 + 5. List the prime factors of o(k).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - h = -8 - 8, 4*h - 16 = 0. Suppose -w + 2 = a*m, 3*m = -w - w + 4. Let k be (1 - m) + 2 + -2. Are k and 1 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.9 - -0.85. Let n = 2.05 + l. Which is the smallest value? (a) 1\/3 (b) 1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of 4*m**5\/5 + m**4\/6 - m**2\/2 - 3*m. Let j be r(1). Suppose -4*d = -43 - j. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -4\/9, 3, 1.78?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.76385 to one decimal place.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -36ee5c - d?\nAnswer: -36ee6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t\/t**15*t*t\/t**(-10)*(t\/(t**(3\/5)*t))**(2\/17) assuming t is positive.\nAnswer: t**(-91\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-four fifths of a millennium?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 3*s**3 - 16773*s**2 - 67140*s = 0.\nAnswer: -4, 0, 5595","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*t = -18 + 426 - 1350 - 1074 for t.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.021 * -4.\nAnswer: 0.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 73575541 and 170?\nAnswer: 735755410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - 4\/(-10))*-15. Suppose 2*m = -8, y = 3*d + d + 4*m. Let q be (1\/2)\/(d\/4). Put q, 1, -3 in ascending order.\nAnswer: -3, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 - -23.5. Let u = -2.65 + b. Let w = 0.85 - u. What is the closest to -2\/3 in -3\/7, w, 0.3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 6*n + 8. Suppose -4*v - 8 = -n*v + 4*h, 0 = -5*v - 5*h - 10. Suppose 2*p + p + 306000 = v. What is p rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = 2*y - 5*j + 20, 4*y - 2*j - 166 = 0. Let z = y - -3. Calculate the remainder when 263 is divided by z.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -n**3\/3 - 10*n. Let t(z) = -2*z**2. Calculate v(t(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3768*l**3 + 1148*l**3 - 653*l**3.\nAnswer: 4263*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(3*m + 0*m + 0*m)*(93 + 46 - 12)*(1 - 1 + m) + (-3 + 3 + 3*m)*(3 + 1 - 6)*(-3 + m + 3).\nAnswer: -387*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o + 1 - 1 + (o - o - o)*(-60 + 38 + 37) + (o + 0*o + o)*(3 - 1 + 1).\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/2 + 8 + -3. Suppose -15 - 7482 = -k. Is (2\/s)\/(21\/k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0.2, -7, -3, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 55*c**2 + c + 4. Let j(o) = -56*o**2 - o - 5. Let p(h) = 3*j(h) + 4*s(h). What is the units digit of p(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - 2*5\/8*-66147460. Suppose -3*c - t = -31915669 - r, -3*c + 114599994 = 2*t. Round c to the nearest 1000000.\nAnswer: 38000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 5*z + 57, -9*l + 62 = -5*l - 2*z. Suppose 6*v - 20 = -l*v. Solve 3*n = v + 5 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/9)\/(1\/(-9)). Let w be 10*(-4 - (0 + r)). Let z = w + 205. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2*q + 0 + 0)*(3 + 1 - 2) + 3*q - 5*q + 3*q)*(16 - 5 - 1) to the form b*q + a and give b.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*a + 85*a - 163*a - 369*a**2 + 291*a**2.\nAnswer: -78*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 665 and 532.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38655 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -b**4 + 616700*b**3 + 3014076 wrt b.\nAnswer: -4*b**3 + 1850100*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/646 and -47\/29911840.\nAnswer: 568324960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -1, 1, 3 in decreasing order.\nAnswer: 3, 1, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16.7 - -4.3. Let o = 1.6 + -21.6. Let f = u + o. Sort f, 6, 0 in descending order.\nAnswer: 6, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17950673893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/540981 and -82\/2457?\nAnswer: 21098259","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -0.6, -123?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1597 is divided by 56.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of q**5\/12 - 35*q**4\/18 - 115*q**3\/6 - 45*q**2 + 93*q. Factor g(x).\nAnswer: 5*(x - 18)*(x + 1)*(x + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 2795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from zqqjzjzzzzvz.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 8725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1151314933?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1970855 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 9*v = -40, 0 = -3*w - 2738*v + 2729*v - 42 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 + 2)*(4*r**2 - 4*r**2 - r**4) - 3*r - 2*r**4 + 3*r.\nAnswer: -8*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 19*m - 1. Let r(t) = -833*t**2. Give r(o(p)).\nAnswer: -300713*p**2 + 31654*p - 833","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 27\/4 of a millimeter?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15304241 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -54*j + 587. Let p be h(10). Which is the second biggest value? (a) 0.1 (b) 4 (c) 0 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - y + 7 = 0, 19 = -2*n + 3*y - 8*y. Find the second derivative of -n*i**4 + 3*i**4 + 7*i**5 - 9*i wrt i.\nAnswer: 140*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 - 18 + 24)*(-4*s + 4*s - 2*s).\nAnswer: -62*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d4 - 5?\nAnswer: ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -9. What is the units digit of 6 + 0 + 4 + t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -159 + 259. Let v = d + -98. Is v even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15\/7 - 61\/35. Which is the second smallest value? (a) x (b) 0.04 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 699.07 + -695. Let f = g - 4.8. Let o = 0.515 + f. What is o rounded to two decimal places?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 336 + -334. Let b(p) be the second derivative of 0*p**t + 0*p**3 + 0 + 9*p - 1\/54*p**4 + 1\/30*p**5. Factor b(d).\nAnswer: 2*d**2*(3*d - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -15*y - 2. Let r(k) = -31*k - 4. Determine -6*r(q) + 13*u(q).\nAnswer: -9*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1572?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2998*a = -26597*a - 6865*a - 452206 - 4754 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -4*f - 30. Let z(q) = -q + 1. Let v(t) = 6*t - 11. Suppose 3*s + 5*h = -17, 5*s - 3*h + 95 = 2*h. Let c(k) = s*z(k) - 2*v(k). Calculate c(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1546\/105 - -223\/15. Which is the second biggest value? (a) 1\/10 (b) -51 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/12*79\/2. Let s = n + -13. Which is bigger: -1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (126\/(-27))\/((2\/(-15)*1)\/((-90)\/(-75)))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -42 * -0.111\nAnswer: 4.662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1092010\/22 + (4 - 1344\/352)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) 4\/7 (c) -0.214 (d) -2 (e) -0.2 (f) 6.4 (g) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/20042 and -19\/220462.\nAnswer: 220462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2081, 4690, 7319, 9974, 12661, 15386, 18155, 20974?\n\"Answer: p**3 + 4*p**2 + 2590*p - 514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 98*c**2 - 18*c + 12. Let s(q) = 57*q**2 - 11*q + 7. Let w(o) = 12*s(o) - 7*z(o). Let t(p) = -p**2 - 5*p. What is -3*t(i) + 2*w(i)?\nAnswer: -i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -3*i + 27, 71*r - 1 = -5*i + 72*r for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6059474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 234*v - 265. Does 2 divide f(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.17? (a) -20\/7 (b) -1 (c) 2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 400 and 242200?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**10)**(-49))**(-21))**(-26\/3) assuming o is positive.\nAnswer: o**(-89180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/13663 and -83\/52.\nAnswer: 54652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 255 + -25?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4566 (base 8) to base 10.\nAnswer: -2422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 2498\/542267 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*q = 29*q + 75 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 4*c. Suppose 6*v - 3 = 5*v. Let q(n) = 1. Let u(g) = -2*g + 3. Let x(r) = v*q(r) - u(r). Calculate b(x(t)).\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 i when three letters picked without replacement from {x: 3, i: 2, w: 3}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 42422474359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 x when two letters picked without replacement from buubbuuuxx.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 12*z**2 - 17*z - 1. Let g be j(-13). Let w = 74 - g. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/2460 and 43\/86100.\nAnswer: 86100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 344745663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 + -24.83\nAnswer: -25.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 80*u**3 + u**2 + u + 11. Is p(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 - 26.9. Let g = j - 0.6. Let v = 35\/96 + -1\/32. Put v, g, 3\/5 in increasing order.\nAnswer: v, g, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 76*z - 99*z + 391. Solve z = -u + 16 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)\/((-2*sqrt(110))\/sqrt(10)) + -1 - (sqrt(7488)*-2)\/(-2*sqrt(64)))*3.\nAnswer: -21*sqrt(13)\/2 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 6*x**2 - 4*x - 4. Suppose 3*g - 4*o = 2*g - 7, 3*g + 21 = 5*o. Is w(g) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 10. Let d(b) = -8*b**2 + b**k - b - 5*b**2 + 6*b**2 - 14 + 15*b. What are the prime factors of d(6)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4*t = -0 - 4, 5 = -5*t. Suppose -4*c - 3*d + 7*d + 112 = 0, -5*c + d + 160 = b. Let k(z) = -c + 33 - 2*z. Let u(a) = 16*a. Calculate k(u(v)).\nAnswer: -32*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -134829 or -134557?\nAnswer: -134557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7059.8 - 7060. Which is the third smallest value? (a) -11 (b) 4.4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10365280*p**2*s**2 - 27*p*s**2 - 209696*p*s wrt p?\nAnswer: 20730560*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 457 + -378. Suppose -5*x - 74 = -c. Suppose -3*k + n = -15, 3*n = 5*n. Put x, k, -5 in descending order.\nAnswer: k, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/2, -0.2, -6\/31, -27, 1, 5\/19?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206*v - 262 + 1588 = 15*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -2931c4?\nAnswer: -2931c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 46456 minus 878705.1?\nAnswer: -832249.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d**2 + d + 7. Let r be k(-4). Let o = 11 + 15. Let p = r + o. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + g + 2. Let q be f(-1). Suppose 2*s - q = 8. Let n(l) = 0 - 4 - l**3 - 4*l + 3 + 6*l**2. Calculate n(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**17*c)\/c)**14 assuming c is positive.\nAnswer: c**238","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a + 30. Let i be f(-6). Suppose i*m = 11*m. Let h be -1 + 2 + (2 - 0). Solve m = x + 3*x - 4*s + 8, -h*s + 3 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away -0.1625832?\nAnswer: 0.6625832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 86 + -10. Let w = p - 76.0132. Let d = -0.01 - w. What is d rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 9 + 34*w**2 - 26*w**2 + 0 + 11*w. Let n be y(-7). Let o = n - -115. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -109*s - 5. Let k be c(3). Let m = k - -4318\/13. Solve -m*r + 4\/13*r**2 - 4\/13 + 2\/13*r**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 12*y - 19. Let v be l(-13). Let i be (-2)\/v + (-15)\/9. Let s = 0.07 + 3.93. Which is the third biggest value? (a) 1\/2 (b) i (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 0.4 (c) -0.1856 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-48)\/(-20)*20\/(-18). Let h = -1 - r. Let u = -10\/3 + h. What is the common denominator of u and -21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from {v: 4, z: 1, j: 5, e: 8}.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 81570774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 193 * -8\nAnswer: -1544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - 3*p**2 + 3*p**2. Let d(q) = -2*q**2. Calculate d(g(f)).\nAnswer: -2*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 506134?\nAnswer: 506134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - -2)\/2 - -1. Let j be ((0 + 0)\/y)\/(-2). Let l(b) = 8*b**3 - 3*b**2 - 14*b + 15. Let u be l(1). Solve -u*h + 4*h = 5*i + 15, j = h - 2*i - 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence htam when four letters picked without replacement from tmmpddha?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 4*j + 2. Let t be x(-4). Suppose 0 = -3*i + 3*n - 57, 2*i + t = 5*n - 51. Is -13 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -8*c. Let m(j) = -j - 3. Give m(g(v)).\nAnswer: 8*v - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(77)*-1 + sqrt(77) - (sqrt(77) + sqrt(77)*1 + sqrt(77))*-1)*-1)\/(sqrt(11) + -6*sqrt(99) + sqrt(110)\/(sqrt(20)\/sqrt(2))).\nAnswer: 3*sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77049 divided by 3669.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -17344, -17325, -17300, -17263, -17208, -17129, -17020, -16875?\n\"Answer: q**3 - 3*q**2 + 21*q - 17363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of -3*w**4\/8 + 10*w**3 + w**2 + 4. Let b be r(7). Which is smaller: b or -22\/5?\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 25*r**2 - 13*r - 13. Let y(a) = -4*a**2 + 2*a + 2. Suppose 3*u = -2*w + 77, -4*w = 4*u - 104 - 60. Let s = w - 52. Calculate s*c(l) - 39*y(l).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p + 9. Let b be v(-8). Let i be b\/((-33)\/(-15) - 2). Solve 3*c = i*j + 6*c + 10, 2*c = -2*j - 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, y: 2}. Give prob of sequence cc.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-2)*12\/14*(-7)\/9\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -66, -69, -72, -75?\n\"Answer: -3*x - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11401733.\nAnswer: 7, 181, 8999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 22 = o. Suppose 4*q - o = q. Let r(s) = s**2 + 9 + 2*s - q - s**3. Determine r(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (298\/(-6))\/(1*1\/(-6)). What is the hundreds digit of 0*2\/4 - (-2 - b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 2*w**2 - 15830*w + 9695148 = 0.\nAnswer: 669, 7246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = 3*q - 8, -a + 4*q = 17 - 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(2\/17)*n**5)\/(n**(-1))**(-36\/11))**(2\/13) assuming n is positive.\nAnswer: n**(976\/2431)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -3*j - 76. Let a = 147 - j. Is 70 less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of 0*x**2 + 0*x**4 + 0*x**3 + 3 + 3\/5*x**5 - 3*x. What is the first derivative of q(v) wrt v?\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.4 + -37.4. Let z = -37.4 - u. Let j = -0.14 + 0.84. Which is the third smallest value? (a) 2\/11 (b) j (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16799 + -287.\nAnswer: -17086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 + 3. Let a be r(3). Let l be ((-128)\/(-48))\/(4\/a) - -4. Is 2\/19 > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, x: 2, b: 1}. Give prob of picking 1 x and 1 b.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 - 20931*n - 33292116.\nAnswer: -3*(n + 2453)*(n + 4524)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + z = -35, 5*n = z + 4*z + 95. Is 16 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1336*h - 325*h - 338*h - 329*h - 335*h - 53 + 53.\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37\/105 - 1\/15. Let p = 18 + -17. Which is the nearest to p? (a) s (b) -1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -f**5 + f**2 - 74*f**4 + 16*f**5 + 12*f - 61*f**2 + 8*f**4 + 99*f**3 = 0?\nAnswer: 0, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, x: 1, i: 1}. What is prob of sequence izz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n - 20 = 15. Let w be (1*n\/2)\/((-2)\/4). Put -4, 11, w in descending order.\nAnswer: 11, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 3*b + 2, 5*l = -2*b + b + 31. Suppose -2 = 2*y - 0. Is b greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 6 = -3*f. Suppose 0 = -3*i + f, -4*q + 4*i + 33 = -3*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 a factor of 1584450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2060690 and 790.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13729149 to the power of 1\/3, to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 5*s**3 - s**2 + 14*s - 22. Let x(c) = -c**3 + c**2 - 2*c + 3. What is -d(n) - 7*x(n)?\nAnswer: 2*n**3 - 6*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*g - 87*g + s = -36, -20 = -2*g + s for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/((0 - -1) + -2). Let k = 58 + -52. Let m = c + k. Solve -3*x = -b - m*x + 8, 3*b - 10 = -5*x for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - ((-200)\/120)\/(3\/9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 127*d - 45*d + 492 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssssssss. Give 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 product of 20.5 and -0.5?\nAnswer: -10.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175*c + 113*c = -99*c + 3330. What is the least common multiple of 190 and c?\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 17 + 11)*(-1 + g + 1) + 2*g + 2 + 2 - 2.\nAnswer: 10*g + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2380*p**2 + 135685*p - 1428. What is f(57)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/((-3)\/4))\/(-3)*-3. Solve 0 = -2*z - 3*m + 5, -24 + 10 = b*z - 2*m for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1447849.\nAnswer: 13, 111373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 323135.9 to the nearest one hundred.\nAnswer: 323100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.61329 to 2 decimal places.\nAnswer: -14.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = 5*n + 30, -7040*f - n = -7044*f + 40 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of z**2 - z + 2\/3*z**3 + 0 + 1\/4*z**4 - 1\/20*z**5. List the prime factors of l(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 299*w**2 - 3*w + 4. Let r be n(-4). Suppose -r = -3*z - z. Round z to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m - 7. Let l be i(10). Suppose l*o = -0*o + 15. Suppose 4*v + 23 + 0 = -o*j, 0 = 3*v + 2*j + 12. Which is smaller: -8\/7 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*x = -j + 6, 5*j - 4*x = 42. Suppose -q = -20 + 13. Calculate the smallest common multiple of j and q.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -14969, -14947, -14901, -14819, -14689, -14499?\n\"Answer: 2*s**3 + 8*s - 14979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w - 1. Let j(n) = n**2 + 2*n + 3. Let a be j(3). Suppose -3*k + a = -3*q, 0*k - 2*q = -4*k + 24. Let l(t) = 7*t - 5. What is k*b(m) - l(m)?\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 161422248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 124 and 3.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**3 + 5*x**3 - 4*x**3 + (x**2 - 4*x**2 - 2*x**2)*(24*x - 30*x - 27*x).\nAnswer: 167*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 6*j + 1. Let q be a(1). Suppose 4*d = -3*x + 69, q + 8 = -3*x. Does 7 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 5*o + 15 = 0. Let u be (o\/(-20))\/((-1)\/5). Which is the closest to -0.1? (a) u (b) 3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 133 and 798?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.3 + -2.8. Let x = 12.6 - 7.6. Which is the smallest value? (a) 1\/3 (b) -0.1 (c) x (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5*k = -4*q, -3*q - 9 = -3*k. Suppose 6 = 2*z + 4*p, 3 = k*z - 5*p - 12. Solve 2*f - 4*f + z*m = -12, f - m = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (145\/(-87))\/(6\/18)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + 3\/(-3) + -1. Suppose 7 = u - p, -7 = -4*u - 2*p - 3. Solve -u = w - m*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0\/(-4*3\/(-6)))\/(-2). Suppose o = -0*i + i - 3. Let k be (0 - (1 - i))\/((-3)\/(-12)). Solve -2*w = k*q - 4*q - 24, -4*q = -4*w for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11059104 is divided by 105?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -171, -344, -515, -684, -851, -1016?\n\"Answer: p**2 - 176*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/31867 and -69\/23176.\nAnswer: 254936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2, 10, 30, 58, 94, 138, 190?\n\"Answer: 4*v**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 260 and 27557010.\nAnswer: 55114020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1172 and 14977574?\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6833106 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 65288764 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of c**4\/2 + 5*c**3\/3 + 2*c**2 + 9*c. Factor a(q).\nAnswer: 2*(q + 1)*(3*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 1, 2.\nAnswer: 1, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(-58*l + 523 - 523) + 0*l + 0*l + l + (-4*l + l + l)*(0 - 1 + 0) + 2*l - 4*l + 4*l + 3 - l - 3.\nAnswer: 120*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*n**5 - 54705228*n**4 - 93520563492288*n**3 + 420843315265108*n**2 - 561124748585040*n + 187041619331856 = 0. Calculate n.\nAnswer: -3419079, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((-27)\/(-2) + (-5 - -3) - (5 + 7))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 59\/380 - 46\/55200*60\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 102 + -10 + 18 + (-13 - (-15 + 26)) + 15\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 623536 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 3*x + 3*q - 12, 5*x - 185 = 4*q. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 5*b - 1. Let t be k(-4). Calculate the remainder when (-2)\/(-10) - 664\/t is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3*c. Let v(r) = 19035278*r**2. Give v(m(a)).\nAnswer: 171317502*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 3*n - 7, -2 = 5*v + 3*n - 7*n. Suppose 2*r = b - 133, 0 = -3*b + 5*b + v*r - 266. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/63)\/(32\/(-112)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) - (sqrt(357)\/sqrt(7))\/sqrt(3) - (sqrt(187)*-2 + sqrt(187))\/sqrt(11).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, e: 6, b: 3, c: 3, m: 1, v: 1}. What is prob of sequence ov?\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46897, 93819, 140741, 187663, 234585?\nAnswer: 281507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-3 + (sqrt(832) + 1)*-5 + -2 + (sqrt(832) + 0 + sqrt(832) - sqrt(832)) + 4))**2 + 0.\nAnswer: 1536*sqrt(13) + 53392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 517*(-78)\/(-7332)*4\/132*-20.\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1916397?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 680 and 120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 142311, 282205, 422099, 561993?\nAnswer: 701887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -2, -4274, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 29 + 229?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*r + 29 - 42, 2*r - w - 3 = 0. Let o = -1.4 - 0.6. Let u = -8 + 4. Which is the second smallest value? (a) r (b) -0.1 (c) u (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35 - -37. Find the third derivative of -13*a**6 + 63*a**2 + 70*a**h - 137*a**2 + 3*a**6 wrt a.\nAnswer: -1200*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 - -16. Let n(g) = 2 + 2*g - g + 1. Let c(t) = -6*t - 25. Let m(f) = -3*f - 12. Let z(h) = 2*c(h) - 5*m(h). Determine q*n(o) + 2*z(o).\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1*7 - -2)\/(-1). Let f(a) = a**3 + 15*a**2 - 16*a + 3. Let p be f(-16). Suppose -p*z = -5*z + 5*u + 395, u = -t. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-94 + 94 + 22*x**3)*(x + 6*x + 2*x) + (2*x - 3 + 3)*(-2*x + 2*x + 3*x**2)*(-2 + 2 + 2*x).\nAnswer: 210*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ptpgaccautcuggttuu. What is prob of picking 1 g and 1 u?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 14*d - 16*d + 36, -3*d + 15 = h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 766\/8 - 30\/(-120). Suppose m*z + 81448 = 104*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-10))\/((-84)\/(-140)). Factor 0*j + 1\/3*j**2 - w.\nAnswer: (j - 1)*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14561 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*a**2*j**3 + 2*a**2*j*l - a**2*l**3 + 31*a*j - 13*j**3*l**2 + 3*j**3*l + 38*l**3 + l wrt l?\nAnswer: -6*a**2*l - 26*j**3 + 228*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence st when two letters picked without replacement from {s: 8, t: 5}.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2*c = 22, -3*y - 3*c + 2*c - 59 = 0. Let o = y + 20. Let l = 209\/4 - 53. Which is bigger: l or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -30. Let d = 243 + -245.3. Let c = d - -3.3. What is the smallest value in v, c, 0.4, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*f**2 - 10*f**2 - 7*f**2)*(4*f - f - 4*f) in the form p*f + k + u*f**3 + o*f**2 and give u.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pllk when four letters picked without replacement from {p: 2, k: 8, l: 5}.\nAnswer: 8\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 d when three letters picked without replacement from ejdjjddjedej.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 7*g**2 - 5*g + 8. Let t be n(-6). Suppose 0 = -b + c, -t*b - c + 5 = -2*c. Let z(i) = -i**2 + 6*i - 4. What is z(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1740 (base 10) to base 15.\nAnswer: 7b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 10*p**2 + 10. Let h be g(10). Suppose 0 = -h*k + 49 - 9. Solve -o = -0*o + k for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -6*d + 121. Calculate n(20).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 9*u. Let x(l) = 83*l**2 - 37*l**2 + 46*l**2 + 17*l**2. Determine x(w(b)).\nAnswer: 8829*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r - 2*r - 4*r)*(0*r + 0*r + 2*r**2) + (-3 + 2 - 1)*(6*r**3 + r**3 - 4*r**3) - 3*r**2 + 3*r**2 - 4*r**3 + 2*r**3 - 7*r + 7*r.\nAnswer: -12*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 134*f**2 - 229*f - 1287. Let u be d(132). Calculate the greatest common divisor of 88 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 1\/5 (b) 220.3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13634936 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d - 4*d + 0*d.\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 9, -4*t + 4*c + 139 = 15. Let g(h) = 2*h**2 + 35*h. Calculate the remainder when t is divided by g(-18).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -p. Let b(l) = 0*l + 0 - 6*l + p. Let o(u) = u + 1. Let v(m) = -4*m - 6. Let h(d) = 12*o(d) + 2*v(d). Give b(h(q)).\nAnswer: -24*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - -45. Let j be (-4)\/16 + p\/4. Put 4, j, 2 in increasing order.\nAnswer: 2, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-1))\/(14\/14)*15180\/253\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -4*c**2. Let k(s) = s - 2. Let q(y) = 3*y - 7. Let u = 6 + -4. Let t(i) = u*q(i) - 7*k(i). Give t(d(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2109.\nAnswer: 3, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**3 + 14*w**2 + w - 2. Calculate f(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 9, o: 3}. What is prob of picking 2 o and 1 s?\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -159, -1664, -5739, -13668, -26735, -46224, -73419, -109604?\nAnswer: -156063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2083031 + 2083009 = -4*f + 6*s, -3*f + 3*s + 15 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of -2*s**7\/49 - 2*s**6\/21 + 11*s**5\/35 + 3*s**4\/7 - 32*s**3\/21 + 8*s**2\/7 + 22*s. Solve d(m) = 0 for m.\nAnswer: -2, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-9)*(-30)\/50.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5700)*5 - (sqrt(114) - 4*sqrt(114))\/sqrt(2))\/((sqrt(84)*-1 - sqrt(84))\/((2*sqrt(70) + sqrt(70))\/sqrt(10))).\nAnswer: -159*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 459728?\nAnswer: 2, 59, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a decade in years?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 153160002*n**2 + 70008*n + 8.\nAnswer: 2*(8751*n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 44673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20? (a) -7 (b) -5\/8 (c) -0.4 (d) -0.05 (e) 0.5 (f) 0.024\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 x, and 1 o when three letters picked without replacement from owxodx.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 25*v**2 - 1257*v + 6940. Calculate h(44).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.6 + -4.1. Which is the third smallest value? (a) l (b) -4 (c) -0.4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 20 = -20. Let j(o) = -24*o. Let r(y) = y. What is g*r(b) - j(b)?\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47 + -49. What is the smallest common multiple of (15\/f)\/(81\/(-108)) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 17, x: 3}. Give prob of picking 2 x and 2 a.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*f - 5*z = -2*f + 7*f - 15*f + 5, 0 = 5*z + 80 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + (1 - 1) - 9. Let j(o) = o**2 + 8*o + 5. Let t be j(p). Let s be (8 - t)*2\/4. Calculate the highest common factor of 2 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4447386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60)\/sqrt(3) + sqrt(20))*-6)**2 - (2*sqrt(180)\/sqrt(3) - sqrt(60) - sqrt(60))\/sqrt(12).\nAnswer: 2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3*o**2 - 2*o + 9. Give v(-4).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.04 and -12.1?\nAnswer: -12.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 t when two letters picked without replacement from fafftacfpaaa.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dp when two letters picked without replacement from ddddpddp.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -21.836 times -0.7\nAnswer: 15.2852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-137)\/(20824\/(-25992))*(-2)\/12*1\/1?\nAnswer: -57\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4052 - 4052 - 139*v.\nAnswer: -139*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2888 + -2885. Solve 35 = -2*t - z*t + 5*w, -4 = 2*t + 3*w for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -5*f - 150, 9*f = -i - 11 + 91. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bnb. What is prob of picking 3 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 42 + 1 + -2 - (-54 + 40 - -12).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-169776)\/(-47160)*(100\/(-1))\/4?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((30\/(-9))\/2)\/((-8)\/24).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lqij when four letters picked without replacement from {i: 2, l: 1, b: 1, j: 3, q: 6}.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44713317 to the nearest integer?\nAnswer: 6687","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -249284.41 and -35.\nAnswer: -249319.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*x - 112 + 28. Suppose -x*f - 7*f = -57. Solve -4*v - f*a - 19 = 0, -5 = 4*v - 2*a + 9 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 348 and 507951?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -54\/23, 46, -26, -1, -0.1, -3, -1\/5?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 259 is divided by 188.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -863*i**3 - 27*i**2 - 5*i - 22. Let z(k) = 173*k**3 + 5*k**2 + k + 4. Give 2*s(m) + 11*z(m).\nAnswer: 177*m**3 + m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -2*b**5\/7 + 8*b**4 - 488*b**3\/7 + 192*b**2 - 1152*b\/7 = 0.\nAnswer: 0, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -53\/2 + 26. What is the biggest value in p, 1\/2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**5\/7 + 27*b**4 + 744*b**3\/7 - 7740*b**2\/7 - 25056*b\/7 = 0. Calculate b.\nAnswer: -58, -8, -3, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -418505\/8 - -52195. Which is greater: -117 or m?\nAnswer: -117","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -102754464*d**3 - 31578923*d**2?\nAnswer: -616526784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18302.76 milliseconds in weeks?\nAnswer: 0.0000302625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a - 6*v = 6*v - 7*v + 165, 15 = -5*v for a.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 10*f**3 + 4*f**2 - 3*f - 12. Let y(n) = 9*n**3 + 3*n**2 - 2*n - 10. Determine -5*x(d) + 6*y(d).\nAnswer: 4*d**3 - 2*d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -70*g + 4674. Give v(67).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**4 + 3 - 3 + (y + y + 0*y)*(-3*y**3 - 2*y**3 + 3*y**3) + 324*y - 324*y - 99*y**4 - 21*y**4 + 19*y**4 + 0*y**2 - y**2.\nAnswer: -102*y**4 - y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 57*j - 845. Calculate i(15).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7018.21 weeks in minutes?\nAnswer: 70743556.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 6. Let f = 4 - 2. Let j be 5\/2 + f\/4. Sort 0.2, j, v in ascending order.\nAnswer: v, 0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.23, -1\/2, -0.137, 0.09?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5.91 or -0.7?\nAnswer: -5.91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15592712 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*b**2 - 507 - 1603*b**3 - 6*b**2 - 1849*b**3 + 3267 wrt b?\nAnswer: -10356*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 + 8*h + 33. Let s be q(-3). Let f(u) = -u + 4. Calculate f(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12296\/(-7) + 6\/(-14). Is (g\/(-14))\/((-2)\/(-4)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qmmt when four letters picked without replacement from {t: 2, q: 1, h: 1, m: 2, k: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = r + 3. Let x = 552 + -649. Which is greater: r or x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.7 - -0.3. Let a = 4 - c. Which is smaller: 2\/7 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i. Let x be s(2). Let j be 4\/1 - (x - 0). What is the third derivative of -1 - g**j + 4 - 3 - g**2 wrt g?\nAnswer: -120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 2*s + 5427 - 897 = 0, -4*b = -s + 3637. Is 12 a factor of b\/(-10)*((-170)\/(-10) - 12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10983 rounded to 3 dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24867 + 12752. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 3:28 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*d = -32*d - 12. Let t(b) be the first derivative of b**3\/3 + 6*b**2 - 4*b + 3. Let a be t(d). Which is smaller: a or 3\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2008579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 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 q(r) = r + 6. Let t be q(-3). Suppose -b + 6 = -t*b, 2*u + 2*b - 34 = 0. Let n = u - 10. Is 2 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxwwttxwxxwt. Give prob of picking 1 w, 2 x, and 1 t.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 27, 5 in descending order.\nAnswer: 27, 8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -179a8 (base 13) to base 8.\nAnswer: -131037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 4*k - 7272 = -2*m, 3*k - 5*m = 5441. Let x be (3\/(-6))\/(2\/7410). Let o = k + x. Calculate the common denominator of o and 67\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 1. Let b be q(3). Let n = -631 + 636. Solve -b = 3*k - n*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 3*p = 15, 4*j - 54 = -2*p. Solve -6*n - j = 4*h - 5*n, 2*h + 5*n + 1 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vuvddvvs. What is prob of sequence vu?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 11, z: 2, g: 1}. Give prob of sequence zzg.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2525669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 37.\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 324 = -102*r + 108*r. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2 + 4236*u - 8488.\nAnswer: 4*(u - 2)*(u + 1061)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 11 + 3 = 0. Suppose 4*b = y*b + 5*b. Suppose -5*z - g + 286 = b, -2*z - 3*g + 2*g + 115 = 0. Is z a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + 0)*(1 + -3). Suppose 4*j - 4*n + d = 32, -5*n = -j + 3. Let c(f) = f. What is the units digit of c(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -280.\nAnswer: -1\/140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of z**5\/30 + 18*z**2 + 36*z. Let b(k) be the first derivative of v(k). Let h(s) = 3 - 3 + 24*s. Determine h(b(y)).\nAnswer: 48*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -262534 * 0.0341.\nAnswer: -8952.4094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 75\nAnswer: -37.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + d3c68?\nAnswer: d3c66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 305263*d**3 + 58*d**2 - 287583226*d wrt d.\nAnswer: 1831578*d + 116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*z + 8*z. Suppose z*a = 2*a - 12. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 84416 and 8?\nAnswer: 84416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -485451 - -1747451. What is g rounded to the nearest ten thousand?\nAnswer: 1260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v = -195 + 175. Sort -3\/88, v, -2\/21, 4 in ascending order.\nAnswer: v, -2\/21, -3\/88, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of -3\/4*b**3 - 1\/40*b**5 + 0 + 0*b + 1\/4*b**4 - 2*b**2. Factor z(l).\nAnswer: -3*(l - 3)*(l - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11366502 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -16544 (base 7) in base 13?\nAnswer: -2204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10\/(-9 + 29))\/(1\/5). Which is the nearest to 1? (a) 0.6 (b) -5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**4 - 2660*x**3 - 5332*x**2 - 2668*x.\nAnswer: 4*x*(x - 667)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - 0) + (-2 - -3) + 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of -d**6\/12 + 5*d**4\/24 + 16*d**2. What is the second derivative of j(y) wrt y?\nAnswer: -60*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**5 - 154*h**4 - 1622*h**3 + 165994*h**2 + 678660*h + 511200 = 0. Calculate h.\nAnswer: -30, -3, -1, 40, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*-3)\/(762\/(-508))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1710 = 246*g - 156*g for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 10 = 3*j, -83 + 57 = 3*j - 5*o for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 + -34 + (5 - -1) + -9 + 2 + 61.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*r + 59*r = 210. Solve r*p + 6 = 8*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/2*(-48)\/(-18). Let z be (108\/8)\/(2\/n). Calculate the greatest common factor of 3 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 18 = 2*c - 35, -5*t = 5*c - 80. Calculate the highest common factor of 19 and c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4*l + 32. Let c be d(-4). Calculate the greatest common divisor of c and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/31277268 and -59\/2508?\nAnswer: 31277268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1727*c**4 - 110*c**2 + 399*c**2 + 2005*c**4 wrt c.\nAnswer: 6672*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 148844785?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 3*i - 7*i. Let l be (36\/(-30))\/(2\/i). Suppose -38 = -x - l. Calculate the least common multiple of x and 7.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41499 divided by -29?\nAnswer: 1431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -29. Let s(h) = -h + 29. Determine -3*r(z) - 2*s(z).\nAnswer: 2*z + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 4*g**2 - 34*g + 46. Let u(j) = -j + 1. Let c(w) = p(w) - 10*u(w). Determine r, given that c(r) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-8)*136\/357.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by (-21)\/6*(-1 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1561.000723 - -1561. What is q rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 812 and 464?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = i + 298, f + 3*i - 31 = 75. Let v = 105 - f. Let j(n) = n**3 - 7*n**2 - n + 9. Let l be j(7). Sort l, -4, 4, v in decreasing order.\nAnswer: v, 4, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 + -30. Suppose -2*m + 4*c = -m + 11, -4*m + 36 = 4*c. Let x be m\/(-4)*(-6)\/15. Which is smaller: v or x?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/7*(-10)\/9*(-175)\/375?\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -17*r + 2. Let o(q) = -17 - 3 + 107*q - 9*q + 54*q + 1. Calculate 19*f(n) + 2*o(n).\nAnswer: -19*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 40*r + 1463. Calculate l(-42).\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-107*g + 307*g + 223*g)*(-3 + 4 + 1) as y + c*g and give c.\nAnswer: 846","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*d + 3*t = 40*d + 15, -2*d - 19 = -5*t for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 10*r**2 + 10*r + 14. Let g be c(11). What is the third derivative of -2*w**6 + 3*w**g - 6*w**2 - 3*w**3 wrt w?\nAnswer: -240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264 - 309 = 9*g. Let h(b) = 27*b**3 - 1. Let v be h(1). Let m = 22 - v. Put 3, -2, m, g in descending order.\nAnswer: 3, -2, m, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -4*v - 7. Let g be -6 + (-4 - (-2 + -1)). Let d(x) = 3*x + 6. Let f(y) = g*d(y) - 6*z(y). Let c(u) = 9*u**2. What is f(c(b))?\nAnswer: 27*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 7*h**2 - 4*h + 5. Let f be x(5). What is the tens digit of (f\/(-15))\/(2\/(-18))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -868*r + 6. Let z(c) = -c + 1. Determine j(i) - 6*z(i).\nAnswer: -862*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-14)*((-150)\/45 + 2)*-42?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 56.2 - 61. Let m = -4.8012 - y. Round m to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*3\/(-18) + 0.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 30258.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10377*k + 4330*k - 692049 = 4411*k + 8637 for k.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -f + 16. Suppose f*c = 5 - 1. Suppose -9 = 5*j + c. Sort -3, 4, j in descending order.\nAnswer: 4, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 2:47 PM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4767755 or -57213053\/12?\nAnswer: -4767755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (213 - 207) + (-37 - ((-3 - 0) + -1))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50711598 is divided by 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 749 = -363. Let h = i - -140. Let d(o) = h*o**2 - 182*o**2 - 167*o**2. Let y(p) = -p. What is y(d(k))?\nAnswer: -69*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/(-12))\/((-4)\/(-6)). Sort 5, u, 0.\nAnswer: u, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 77 - 74.56. Let h = l - 8.72. Let c = h - -2.47. What is c rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3083558677 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 2\/36*250721. Let q(a) = -1743*a**3 - 2*a**2 - a - 6. Let g be q(-2). Let f = g - k. Find the common denominator of f and -5\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -5*s**2 + 3*s - 3. Let b be u(3). Let q = b + 39. What is the first derivative of -10*l**4 - 16 + q*l**3 + 0*l**3 + 0*l**4 wrt l?\nAnswer: -40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 12934448, 12934451, 12934456, 12934463, 12934472, 12934483, 12934496?\n\"Answer: k**2 + 12934447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.9 - -2. Let o = 343\/5 - 69. Let v = 447 - 5813\/13. Which is the closest to i? (a) v (b) o (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 264150 and 300.\nAnswer: 528300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 1 - -4 - (-11 + 25 + -6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*m = -2779, 0 = 5*m - 15. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 7*v**2 - 9*v. Let k(o) = -4*o**2 + 5*o. Let c(a) = -161*a - 647. Let b be c(-4). Calculate b*d(y) - 5*k(y).\nAnswer: -y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z - 2. Let m be p(0). Let j(r) = 61 - 7*r**3 + 2*r - 62 - 3*r**2 + 4*r**2. Let c be j(m). What is the highest common divisor of c and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) + 2*sqrt(91))*6 + ((sqrt(91) - -1*sqrt(91)) + sqrt(91))*2)\/(2*sqrt(7)*-2*6).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 624 in -1\/2, 5\/7, 0.7, 0.01, -1?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/7 in -4, 72, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63 + 26936\/390 + (42\/45 - 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -28 - -4543?\nAnswer: 4516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - -10 - (-2 - -5). Is i\/55 + 766\/22 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l + 23. Let b be a(6). Suppose b - 13 = 7*s. Solve -5*p**2 - s + 2 + 3*p**2 + 4*p = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1*19\/(475\/(-10))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, k: 1, m: 4}. What is prob of picking 1 k, 2 m, and 1 z?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 416 - 1691*l**5 - 416 + (-l + 2*l + l)*(l**4 + 2*l**4 - 4*l**4) - 2*l**5 + 2*l**5 - 2*l**5.\nAnswer: -1695*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230*w - 433*w - 406 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 27*j**2 + 72*j. Let z be q(-24). Solve 0*l + l + 4 = z for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47768937?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 38318237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 3*n - 9 = -0*f, 0 = -5*f - 32783*n + 32767*n + 40 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sxe when three letters picked without replacement from sesesxeeseseseseeees.\nAnswer: 11\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + (3\/(-3) - -3). Suppose c + b = 16, 4*c - i - 63 = 2*b. Solve 2*n + c = -2*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 0*r**2 + 0*r + 0*r - r**3 - 10*r**2. Let c be s(-10). Let i = c + 4. Solve 8 + i = 3*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5167187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7887.5 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 10 - (1040 - 1021) - (1 - -16).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -3*y. Let b be 39 + (y + 0 - 3). Suppose -b = -h - h. Does 11 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.021? (a) -0.4 (b) 45 (c) -181 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 + 40. What is the nearest to 1 in n, -4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 581645 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 2 - 7*x**2 - 1.\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 12*h**4 - 115628*h**3 - 5615984*h**2 - 7128176*h + 7282368 = 0?\nAnswer: -47, -2, 2\/3, 9684","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**4 - 76*o**3 - 130*o**2 + 496*o - 288 = 0. Calculate o.\nAnswer: -36, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2\/7 + 4827*u + 101394\/7.\nAnswer: -3*(u - 11266)*(u + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 9*z - 1. Suppose 297*a - 299*a = 4. Let w(f) = 8*f. Determine a*r(d) + 3*w(d).\nAnswer: 6*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 5*t = k + 50832, 2*k = t + 25416. Is k a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + p**2 - p - 4. Let a be v(0). Let g(q) = 16*q - 1. Let m(w) = 3*w. Let o(h) = a*g(h) + 22*m(h). Calculate o(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 275336.\nAnswer: 2, 127, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 45068 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1364866*u**2 + 1364872*u**2 - 2729738*u**2 + 10*u**3 + u**3.\nAnswer: 11*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -6*p. Suppose i + 3*h - 19 = 0, -4*i + 4*h - 36 = -8*i. Let a(z) = -1 - 3 + i - z**2. Give u(a(w)).\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872) - (sqrt(1872) - (1 + sqrt(1872))*2)) + sqrt(1872) + -1 + sqrt(1872) + sqrt(1872) + 2)**2 - (1 + 1*sqrt(1872) - (sqrt(1872) + -2)*5)**2.\nAnswer: 1416*sqrt(13) + 16736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2)*d**(1\/2))\/((d**(-4)\/d)\/d*d*d**(2\/19)\/d))\/(d**(-2\/5)*d**(3\/2))**(-44) assuming d is positive.\nAnswer: d**(10031\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -t. Suppose 4*x + 5*u - 1 + 12 = 0, t = 4*x + 2*u + 2. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*t - 30*t + 73*t - 2*t**3 + 128*t**2 + 9*t**2 - 3*t**2.\nAnswer: -2*t**3 + 134*t**2 + 12*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -170516510?\nAnswer: 170516504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 9827, 9664, 9499, 9332, 9163, 8992?\n\"Answer: -n**2 - 160*n + 9988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 751920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, y: 1, d: 1, n: 1}. What is prob of picking 1 d, 1 w, and 1 y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -52638036*x - 2. Let r(l) = 2*l. What is j(r(u))?\nAnswer: -105276072*u - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3*p - x - 92 = 0, 2*x + 281 = 3*p. Is 9 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3. Let h(l) = -4 + 5 + l**2 - 4*l + 5*l. Let b(k) = h(k) + y(k). Suppose b(d) = 0. Calculate d.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 29*d - 5. Let n(r) = -42*r + 8. Determine -5*n(c) - 7*v(c).\nAnswer: 7*c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 150372 to the power of 1\/2, to the nearest integer?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9809 to the power of 1\/2, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13727881*x + 8410359 wrt x?\nAnswer: -13727881","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2378553*l**2 - 3816833*l.\nAnswer: -4757106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(9) - sqrt(144)*4).\nAnswer: -sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 11.9, 0.030233, 0.2, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(396)\/sqrt(12))\/sqrt(11) - sqrt(3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*a**2 + a - a - 28*a**2 to the form f*a + m*a**2 + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/((-12)\/(-10))*-2. Let y = 159 - 411. Let k be (-2)\/5 - y\/405. Which is the biggest value? (a) 1\/5 (b) s (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10330.\nAnswer: 2, 5, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55 - 53 - 4 - 20*w + 2.\nAnswer: -20*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 4*u - 17. Let g be k(5). Which is the third smallest value? (a) 0 (b) 0.14 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/283 or -245?\nAnswer: -4\/283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -225782 by 1.\nAnswer: -225782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ag when two letters picked without replacement from fqmag?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4621*p - 1441*p + 1646*p + 11654 - 7406*p wrt p?\nAnswer: -11822","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/13 (b) 6\/29 (c) -43 (d) -2 (e) -6.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (5 + (4 - (-3 - -4)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 525 and 255.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - 0 - (-68 + 58)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 415 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**4 + 3*z**2 + 0*z**4 - z**2)*(131067 - 177*z - 131067)*(-2 - 3 + 3).\nAnswer: -354*z**5 + 708*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 4*c**2 + 4*c - 1. Suppose -4*t = 3*u - 41, 11*u - 14 = 9*u + 4*t. Suppose -3*p + 70 = u*p. Calculate j(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (83250\/13320)\/(5*5)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 + -23. Sort 5, -3, 4, q in decreasing order.\nAnswer: 5, 4, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167 is divided by (90\/(-20))\/((0 + 3)\/(-90)).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9975 + -128775913?\nAnswer: -128785888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 46090378 rounded to the nearest ten thousand?\nAnswer: 46090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -3*y**5\/20 + 193*y**4\/24 + 1876*y**3\/3 + 21*y**2 - 22*y + 1. Find the first derivative of r(n) wrt n.\nAnswer: -18*n + 193","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -57954 - -57958. Suppose 108 = c - 60. What is the smallest common multiple of c and s?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -14) + 16 + -30?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a - 7. Let q be x(7). Suppose -2*u - 2*v - 8 = q, 3*u + 0 - 2 = 4*v. Let i(l) = l + 3. What is i(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5837 divided by 611\nAnswer: -449\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 14.5*2.84444\nAnswer: 41.24438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14349485987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 187 and 204.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 + 36. Let o = r + -15. Which is the second biggest value? (a) -4\/3 (b) -0.4 (c) o (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 6 - 10)*(-3*z**4 + 6*z**4 + z**4) to m*z**2 + c*z + v + d*z**3 + q*z**4 and give q.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wy when two letters picked without replacement from ygwggiggiiigg.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 2 = 2*i, 0*i - 2*i + 4*j + 20 = 0. Let o be (-2)\/i + ((-76)\/(-12) - 4). Solve -6*x + o*x + 16 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97410 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000911528 to six decimal places.\nAnswer: 0.000912","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -w + 8, 3*a = 118 - 109. Which is smaller: 2\/16717 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 344877775?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1194, -15589, -39582, -73173, -116362, -169149?\n\"Answer: -4799*z**2 + 2*z + 3603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/(sqrt(12) + (sqrt(12) - sqrt(300))) + -4 + sqrt(1573) + (6*(sqrt(52) - ((sqrt(4212) - sqrt(4212)*2) + sqrt(4212))))**2.\nAnswer: 32*sqrt(13)\/3 + 1868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 355.2716 centuries to years.\nAnswer: 35527.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99)*1*-6 + 2*(sqrt(99) - (sqrt(99) + 1*sqrt(99))))*5)\/((sqrt(9) - (sqrt(9) + (sqrt(9) + sqrt(9)*3 + sqrt(9) - sqrt(9)))*3) + sqrt(1089)*-1).\nAnswer: 8*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/4)\/((-29)\/580*(-14)\/(6188\/(-195)))?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -47988*n**3 + 2817*n**2 - 1 wrt n?\nAnswer: -287928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 1 - 2)*(-7 + 5 + 0 - 6*j).\nAnswer: 84*j + 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.6, -4, 0.2 in descending order.\nAnswer: 0.6, 0.2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**2 + 61*j + 12.\nAnswer: (j + 12)*(5*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 27*f**4 + 7*f**4 + 31*f**4 - 129*f**3 - 13*f**4 in the form w*f + s*f**3 + r*f**2 + g*f**4 + k and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 106, 778, 2540, 5920, 11446, 19646?\n\"Answer: 88*g**3 + 17*g**2 + 5*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqt when three letters picked without replacement from lqqtt?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -18405757629 + 18\nAnswer: -18405757611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5362586*s**3 - s**2 + 7826191*s - 1?\nAnswer: -32175516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4066*w**2 - 4066*w**2 + 2*w - 280*w**3)*(-1 + 0 + 4)*(-1 + 15 - 4) to u*w**2 + b*w + d + l*w**3 and give b.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3 - 2 + 6 + i**2 + 4*i - 3*i**2. Calculate z(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -6*c - 4*c - 3*c**2 + 8 + 20*c - 11 - 6*c + 2*c**3. Let k = -1 - -3. Let o be i(k). Solve m - 5*v + 18 = 0, -5*v + 3*v = -m - o for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 14057, 14076, 14095?\n\"Answer: 19*u + 14038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 40\/(-390)*-5*4. Let c = -18\/13 + s. Solve -2\/3*p**3 + c + 2\/3*p - 2\/3*p**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((56\/5)\/7)\/((-2)\/(-5)). Suppose k = j*k. Solve 4*a + 3*s = -k*s - 25, 2*a = -5*s - 23 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 55, 119, 209, 325, 467, 635?\nAnswer: 829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*b - 3 + 12 + 19*b - 10*b - 9.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*x**2 - 2*x**2 + x**2)*(4 + 6 - 5)*(356*x + 6 + 5 - 367*x) in the form p + r*x**3 + l*x + n*x**2 and give n.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 13*s**2 + 10*s + 23. Determine n(12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 963 + -3?\nAnswer: 960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 335 a factor of 43168435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -16. Let r be (p\/2)\/(3\/(-4)). Let o(d) = 0 - 3 - 2*d - d**3 - 2*d**2 + 1. Calculate o(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 201285 and 7485.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**4 + 0*p**4 + 0*p**4)*(-p - p + 3*p + (-3 - 2 + 3)*(2 - 2 - 3*p) + 4 - 4 + 3*p).\nAnswer: 10*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 30 (b) -2\/13 (c) 0.4 (d) -2\/15 (e) 38 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4102*c**5*p - 76*c**3*i**2 - 9*c*i*p - 2*c + 6*i**2 - 163 wrt c?\nAnswer: -82040*c**3*p - 456*c*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 9:58 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*a, 3*y - 4*a - 2 = -5. Suppose -m = -5*m - x + 16, -y*m + 12 = -3*x. What is the highest common factor of m and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 10) in base 2?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-5)*d**(-2\/9)*(d**1\/d)**(-28) assuming d is positive.\nAnswer: d**(-47\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, b: 1, t: 4}. What is prob of picking 2 j and 1 t?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.77119 rounded to 1 decimal place?\nAnswer: -4.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 38918851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 113 = 58*p - 63*p, -4*d + 31 = -10*p - 201 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -661, -5136, -17281, -40930, -79917, -138076, -219241, -327246?\nAnswer: -465925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 23\/(-9) - 81\/(-27). Suppose -9*k = -8*k. Let 2\/9*p + 0*p**3 - 2\/9*p**5 + 4\/9*p**2 - g*p**4 + k = 0. What is p?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 4*w**2 - 9*w + 11. Let k(d) = -9*d**2 + 18*d - 23. Let y(v) = 7*f(v) + 3*k(v). Let p be y(5). Which is smaller: -14 or p?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.5 + -3. Let r be (-48)\/18*(-2)\/8. Which is the nearest to r? (a) -5 (b) 0.2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 293 + -292. Which is the nearest to 0.1? (a) p (b) 0.5 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1709.60221 and -3?\nAnswer: -5128.80663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -8 + (-8)\/32*-32. Let f(v) be the first derivative of 4\/35*v**5 + 0*v**3 - 18 + 0*v + 0*v**4 + u*v**2. Factor f(b).\nAnswer: 4*b**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 33.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -16, -137, -340, -625, -992, -1441, -1972?\n\"Answer: -41*c**2 + 2*c + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - (2 + -11) - (-6 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-170 + 155)*4\/10.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -55 (b) -1333 (c) 4 (d) -3 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -123 + 123. Suppose -8*s + 7395613 - 2979613 = d. What is s rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a week in minutes?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1911139.\nAnswer: 23, 83093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 5, -107, 18390, 0.2 in ascending order.\nAnswer: -107, -0.3, 0.2, 5, 18390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 537*k**4 - 2*k**2 - 14*k?\nAnswer: 12888*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57980?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 22000022?\nAnswer: -22000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 8:16 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 1:44 PM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (11 - 1) + (-6 - 0) - 2. Determine m so that 0*m + 2\/11*m**c + 0 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -7*n + 3*t + 198, 0 = -4*n - 4*t + 256. Is n - 9*12\/18 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of s**7\/15 - 5*s**4\/12 - 2*s**2. Find the second derivative of o(g) wrt g.\nAnswer: 168*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1014 (base 15) to base 3.\nAnswer: 11122201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2559*w - 1921*w + 620*w - 52188 - 90632 for w.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -63.09 to the nearest integer.\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17909 - 16856. Suppose o - 2 = 79. What is the greatest common divisor of f and o?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -450*s**3 + 11*s**2 - 5*s - 11. Let c(u) = 90*u**3 - 2*u**2 + u + 2. Calculate -11*c(f) - 2*v(f).\nAnswer: -90*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - 9. Is -15*j\/6 + 2 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2*1)\/(6\/(-12)). Suppose h*z - 74034874 = -3*b + 121565120, -2*z - 4*b + 97799992 = 0. Round z to the nearest one million.\nAnswer: 49000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 60376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -2, 8, -3, -1 in ascending order.\nAnswer: -17, -3, -2, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/138 and -35\/14349.\nAnswer: 660054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -10*(4 + (51\/(-15) - 1)). Which is the nearest to -0.1? (a) -2\/7 (b) 0.7 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((-7 + 8 - 1) + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -57 (b) 2\/11 (c) -30\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 11:18 PM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 12438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 9*q. Let d be p(6). Let b be (2\/6)\/(6\/d). Solve f + s - 2 + b = 0, 3*f = 2*s - 18 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56841524 divided by -2.\nAnswer: 28420762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 530.7814 millimeters in meters?\nAnswer: 0.5307814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 981098823?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 11*b. Let s(n) be the second derivative of -n**4\/6 + 7*n. Give s(z(a)).\nAnswer: -242*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -195 or -197?\nAnswer: -197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1411 + -638. Let q = 45 + b. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**5\/7 - 144*d**4\/7 - 220*d**3 - 6168*d**2\/7 - 10170*d\/7 - 5400\/7 = 0. What is d?\nAnswer: -60, -5, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 + 23*h + 5. Calculate x(-23).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.03, 3, -3, 2\/41?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 12:57 AM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 676892 a multiple of 427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (6 - ((0 - -5) + (7 - -92))) + (-13 - -13)\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 2621*s - 2622*s, -173 = 2*r - 5*s for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 5*u**2 + 5*u - 3. Suppose 0 = 4*n - 9*n - 30. Let w be q(n). Let r(d) = -d. Calculate r(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65\/3 of a century in months?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of i**4\/4 - i**2. Let y(z) be the second derivative of z**3\/6 + 93*z. Give p(y(v)).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1061?\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/14 + 12\/42.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 10:15 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 5*y + 414. What is the greatest common divisor of y and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 28.3222 and -2.16.\nAnswer: -61.175952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -376980 by 75396.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1104 and 1320?\nAnswer: 60720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 198 - 198. Let a be (9 - (7 + f))\/1. What is the greatest common divisor of a and 38?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6662778?\nAnswer: 2, 3, 23, 48281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-4\/3)*t*t*t)\/(t*t\/t**15)*t\/(t*t*t\/t**(1\/4))*t*(t*t*t**(1\/3)*t)\/t assuming t is positive.\nAnswer: t**(69\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -4*a + 871067 - 871067. Let p(l) = 5*l - 5. What is b(p(y))?\nAnswer: -20*y + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207399 = 14285*u + 11084*u - 343804 - 57653 for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-5)*14\/12\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2263 less than -2255?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 + 0*s**2 - 5*s**2)*(0*s + 0*s - 2*s**2) - 3*s**4 + 2*s**4 + 2*s**4 - 2*s**3 + 2*s**3 + 4*s**4.\nAnswer: 15*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -105410505 (base 6) in base 9?\nAnswer: -3584625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 69 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-4)*8\/6. Suppose z*y - 72 = -2*y. Suppose 3*o + 4*l - y = 0, -4*o + 9*o = l + 53. What is the greatest common factor of 15 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -43 + 61. Suppose 0 = -5*x + 2*z, -x + 6*z + c = 2*z. Is -1 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c + 1. Let p be t(5). Suppose -5*k + 9 = 3*s, 3 = s + 3*k - p*k. Suppose -f = 3*f, d - s*f = 8. Calculate the remainder when 14 is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i - 2*i**2 + 2221 - 4422 + 7*i**3 + 2229)*(-i + 0*i - 2*i) to f + v*i**2 + d*i + u*i**3 + k*i**4 and give k.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-6)\/(f**(-10\/3)*f))\/(f\/(f\/(f**(2\/57)*f))*f*f*f*((f*f\/((((f*f**6)\/f)\/f)\/f))\/f)\/f) assuming f is positive.\nAnswer: f**(-211\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 3) + -11 + 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**2 - 5*w**2 + 4*w**2 - 2*w**2 as s + q*w**2 + y*w and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -370 + 369.4. Which is bigger: a or -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -87 - 117580?\nAnswer: -117677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**4 - 16*v**3 + 12*v**2 + 40*v - 32.\nAnswer: -4*(v - 1)**2*(v + 2)*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x + 0*x + 11*x - 3*x + x - 6*x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 7*g + 10. Let y be a(6). Solve 0 = y*c + c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16.2 + 12.2. Put r, -0.3, -0.1 in increasing order.\nAnswer: r, -0.3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 13*v - 7632. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 51) + -2052 + 2020?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 53\/4 of a litre?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*a - a + 2895 + 17*a + 15*a - 2895.\nAnswer: 24*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 8) to base 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -786, -790, -794, -798, -802, -806?\n\"Answer: -4*a - 782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2273037930?\nAnswer: 2, 3, 5, 8418659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*q = -16*q + 2. Let n be (q + -2)\/(-4) - -49. Suppose 0 = 4*b - 5*i - n - 28, -4*b + 4*i = -80. Is 15 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - ((-4 - -2) + 7). Let t be -1 - ((-14)\/r)\/(-7). What is the biggest value in t, -4, 0, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-15)*(-15)\/6. Solve -3*t - d = k, d - 5*d = -t + 17 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -3*n - 109, 7 = -5*n - 8. Suppose 124 = 5*t + 3*r, -t = 3*r - 0*r - v. Is 11 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201697 at most 201740?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 - -43. Suppose -3*o - s = -101. Suppose -o - 231 = l. What is l rounded to the nearest 10?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/10*(0 + 4\/6). Factor -n*r**2 - 6\/5*r + 0.\nAnswer: -2*r*(r + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3568441 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63006, -126013, -189020, -252027, -315034, -378041?\nAnswer: -441048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of 135*t**2\/2 + 3*t - 221. What is the units digit of m(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*a - 5117 = 14*a - 12*a. Calculate the remainder when 561 is divided by a.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 408450, 816771, 1225092, 1633413, 2041734?\nAnswer: 2450055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(-7*y + 3 - 3) - 2*y + 2*y + y + (6 - 4 - 4)*(3 + 2*y - 3) + 0*y + 0*y - 2*y.\nAnswer: -19*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 8:37 AM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - (-3 - 11) - (-12 + 6 - -1 - -18)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 4*k + 3. Let n be t(5). Suppose -3*j = -s - 6*j - n, 0 = -5*s - j + 30. Let y = 2 + s. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 - 11. Suppose -4*n = c, -5*n = d*c - 3*c. Suppose 2*i - 10 - 4 = c. Solve 2*g + i + 5 = -p, -g + 2*p - 1 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1000069 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, s: 15}. Give prob of picking 3 w and 1 s.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(-6)*m**(7\/4))**(2\/5)\/((m*m\/(m*m*m*m**1*m))**(1\/13)*m**(5\/3)*m*m\/((m**2*m)\/m)*m) assuming m is positive.\nAnswer: m**(-1301\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/3 + 35*v**2 - 71*v + 107\/3.\nAnswer: (v - 1)**2*(v + 107)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1960 and 252?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = t + t + 2*n, 0 = 2*n - 4. 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 x be 13356\/((-112)\/(-16)) - -18. Calculate the highest common divisor of 72 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 - 0.7. Let i = -35.8 - -36. Let f be (-1)\/3 - (-2)\/9. What is the nearest to v in -0.4, i, f?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1571a (base 14) to base 13.\nAnswer: 1b49b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(6\/11)*p)\/(p\/(p\/(p*p**(-2\/15)))*p))\/((p\/(p*p\/(p*p\/p**(-3))))\/(p\/(p\/(p**(-4\/7)\/p)))))**(45\/7) assuming p is positive.\nAnswer: p**(-20733\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 5110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-590)\/55 - -10)*495\/(-90).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -26*j**3 + 3*j**2 - 1. Let v(g) = -52*g**3 + 5*g**2 - 1. Let n(r) = -5*s(r) + 3*v(r). Differentiate n(b) with respect to b.\nAnswer: -78*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a week in minutes?\nAnswer: 1008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15954, 32136, 48320, 64506?\nAnswer: 80694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -6*a - 16*a + 7*a. Let v(o) = 2*o**2. What is n(v(j))?\nAnswer: -30*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -8*a - 16. Let k(g) = -g - 1. Let s(t) = -16*k(t) + z(t). Let m(x) be the first derivative of 1\/2*x**2 + 0*x - 1. Give s(m(j)).\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 231871, 231868, 231865, 231862?\nAnswer: 231859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h**2 + h - 5. Let b(w) = -w**2. Determine 5*b(s) - m(s).\nAnswer: -s**2 - s + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 14*z + 38. Let h = 186 - 192. Is 10 a factor of d(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24968?\nAnswer: 2, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50 and 75.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5532.65 centimeters?\nAnswer: 55326.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2918699*k**2*l**2 + 1781561*k**2*l wrt l.\nAnswer: -5837398*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23717?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-2 - -2) - (1421 - 1409)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dyhjdcssdjs. Give prob of sequence sjsc.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 13, 2\/11?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59426 is divided by 716.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.006 + -0.006. Let i be 14 + -18 - (-17)\/4. Which is the closest to -1\/2? (a) o (b) i (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*w**2 - 31 - 12*w + 6*w + 7*w wrt w.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9225 - -23199. What is i rounded to the nearest 100?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of 0*f + 124 - 5\/2*f**2. Let r(a) be the second derivative of 3*a**4\/4 + a. Calculate o(r(l)).\nAnswer: -45*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 18*a**2 - 17*a + 13. Let o be i(17). Solve -o*u = -10*u + 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -5724*k**2 + 583*k + 583. Let g(d) = 59*d**2 - 6*d - 6. Give 583*g(y) + 6*m(y).\nAnswer: 53*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3*x - 42 = 0, 0 = 5*z - 9*z + 4*x + 124. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.11? (a) 209 (b) -78 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 712435124 divided by -36908\nAnswer: -19303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 3*p**2 - 4*p + 3. Let r = 17 + -21. Let w be g(r). What are the prime factors of w + 1*24*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*u + 1285 - 826 = -619. What is the remainder when u is divided by 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36340 rounded to the nearest one thousand?\nAnswer: -36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 190257 and 2.\nAnswer: 380514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 12) in base 2?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 279149 divided by 2561\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -471 - -474. Let j be (2\/(-4))\/((-2)\/24). Solve -j - s = -3*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3*u**2. Let n be -3 - (-2 + -4 + -25). Let t(z) = 27*z - 53*z + n*z. Give t(p(k)).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fmyyffflyllufulf. Give prob of sequence luum.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 85 = 3*o - 4*h, -155177*o - 2*h + 0*h - 43 = -155180*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 6627194?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/(-6))\/((-6)\/(-9)). Suppose -c - 3 + 0 = 0, -2*c = 2*n + 10. Let f = 24 + n. What is the greatest common factor of z and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.008 + -0.108. What is the closest to j in -0.5, -3, 15?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 - 14)\/((-3)\/12). What is the greatest common divisor of v and 2204?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 5*m - 100. What is z(15)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4230?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 239*d - 248*d = -2826. Let l = d - -1419. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*y**2 + 7*y**2 - 277*y**2 + 236*y**2.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -0.3, 4, 5685014?\nAnswer: 5685014","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27231282.\nAnswer: 2, 3, 13, 38791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - 17.34.\nAnswer: -16.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -75264, -150467, -225668, -300867, -376064, -451259, -526452?\n\"Answer: j**2 - 75206*j - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 641*d + 120347. Calculate p(-186).\nAnswer: 1121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 4. Let f be (-2)\/(i\/4*-1). Let w be f - 3 - (-2 + 0). What is w rounded to zero dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-90)\/168 + (-6)\/(-21)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1243403 + 0.4.\nAnswer: -1243402.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5613.35695 and 110025.\nAnswer: 104411.64305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 535756 or 2143019\/4?\nAnswer: 535756","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72560?\nAnswer: 2, 5, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m + 7. Let u(l) = -l + 4. Calculate 3*g(w) - 7*u(w).\nAnswer: w - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4226016 and 0.5.\nAnswer: -4226015.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -2) + (43 - 28 - 21)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 2:15 PM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*i**2 - 103*i + 0*i**2 + 4*i**3 + 104*i + i**2 in the form x*i + l*i**3 + j + o*i**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -83*l + 5714 + 56204. Calculate the remainder when l is divided by 147.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*x + 134*x = -13*x - 91*x + 28800 for x.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t - 41 - 31 + 59)*(-3 + 0 + 5 + (-6 + 3 + 1)*(-1 + 1 - 1)) to w*t + i and give i.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 12. Let v = 7 + -4. Sort f, v, -4 in ascending order.\nAnswer: -4, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 607230033?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 21*m + 19*m - 14 = 0, -5*y - 10 = 3*m for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 5*w + 6*a - 2*a, 4*a + 20 = -4*w. Let f = -1 + 3. Let u = 682\/9 - 76. Put f, 1\/3, w, u in ascending order.\nAnswer: w, u, 1\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -9*j + 12 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -73527.2569 rounded to the nearest integer?\nAnswer: -73527","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) - (sqrt(128) - (-2*sqrt(128) + -5))) + 1 + -5)**2.\nAnswer: 288*sqrt(2) + 593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/4 of a day?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -2089267?\nAnswer: 2\/2089267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 669 > 671?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -75\/109 or 0.28?\nAnswer: -75\/109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -3830000 to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 4*f**2 + 101*f + 37. Determine r(-25).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v + 2*v**2 + 2*v + (-371 - 232 + 156 + 14*v)*(v - 5 + 5).\nAnswer: 16*v**2 - 447*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3525559*l**2 + 2065400.\nAnswer: 7051118*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**2 - 9*h**2 + 7*h**2)*(-34 + 34 + 5*h).\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, 1\/16, 3 in increasing order.\nAnswer: 1\/16, 3, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 681.127 millilitres?\nAnswer: 0.681127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by 46?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 3*m. Let c = -12 + 7. Let q = c + 1. Let w be z(q). Solve -3*y + w*u - 6 = 4, 5*u - 16 = 2*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 51 = -0*f - a, 0 = 5*a - 5. Let s = f - 12. Let n(j) = 2*j**3 + 4*j**2 + 2*j. What is n(s)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/11))**(-41)*(s\/(s**0*s))\/s**(5\/3) assuming s is positive.\nAnswer: s**(191\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + z - 2*z**2 - z - 1 + z**3 in the form x*z + a*z**3 + j*z**2 + q and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/28 - (-2)\/(-8)*-1. Which is the smallest value? (a) -3 (b) 1\/5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*a - 48*a - 50*a + 26 - 73*a + 233*a.\nAnswer: 7*a + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 66 = 2*b + 2*r, 4*b - 2*r = 138. What is the remainder when b is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-33)\/22)\/((-1)\/2). Suppose -2 = f*p - 20. What is the third derivative of 2*k**p + 2*k**2 + 3*k**6 - k**6 - k**6 wrt k?\nAnswer: 360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2700) + 2*sqrt(2700) - sqrt(2700))\/(sqrt(36)\/(sqrt(4) - (sqrt(4) - sqrt(16)))).\nAnswer: 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 6:17 AM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2380349 - 3377029?\nAnswer: -5757378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/7, -4\/5, 2735, -1\/90, -39?\nAnswer: -1\/90","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14472 is divided by 104?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**2 - 7*m - 33. Let i be v(14). Let c = 666 - i. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -147 divided by -4?\nAnswer: 147\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 9:19 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 1. Let f(j) = j**2 + 3*j + 1. Let i(u) = -f(u) + 4*s(u). Let h = 332 - 329. Let v(m) = -m**2 + m + 2. Calculate h*i(y) + 8*v(y).\nAnswer: y**2 - y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 441022, 882045, 1323068, 1764091, 2205114?\nAnswer: 2646137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186272 is divided by 535.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1397 - -11177\/8. What is the biggest value in 1\/4, 3.2, 5, h?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 2*j + 278 - j - 279. Let t(i) = 88*i**3 + 48*i - 56. Let g(a) = -t(a) + 48*x(a). Differentiate g(m) with respect to m.\nAnswer: -120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.23 - -1.77. Let g(r) = -2*r**3 + r - 1. Let o be g(1). Which is the second biggest value? (a) x (b) -0.1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 15110, 30117, 45024, 59831?\n\"Answer: -50*j**2 + 15157*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51\/((-48)\/(-4) - (-42 + 7830\/144)).\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -7*g**3\/6 + 7*g**2\/2 + 22*g. Let l be j(12). What are the prime factors of 3\/7 + 264\/l + 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3 - 6)*(6*h**4 - 2*h**4 - 3*h**4) in the form b*h**3 + m*h**4 + p + o*h + u*h**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -998*b**6 + 7232*b**3\/3 - 956. What is the third derivative of a(v) wrt v?\nAnswer: -359280*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289139 to the power of 1\/2, to the nearest integer?\nAnswer: 538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 45*y + 188*y - 115*y - 40*y - 13*y**2 to r*y**2 + z*y + s and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14008434.\nAnswer: 2, 3, 11, 19, 11171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 1\/7, 2, 2\/37, -472?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 1:25 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*(-7)\/(224\/104)*(-30)\/(-15))\/12.\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42715*-3.\nAnswer: 128145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25627793 to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 5*j - 50 = -d, -d = 5*j + 8. Let t = -216 - -227. Let b(q) = -3 - 5*q**2 - d*q + t*q**2 - 7*q**2. What is b(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 5*s - 7. Suppose 4*h = -0*h + s. Suppose 5*c - 96 = -d, h*c - 44 = d - 5*d. Solve -4*v + c = v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 7 = 2. Suppose -17*y = -18*y + b. Which is smaller: -3\/2 or y?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 6 - 3*j**3 + (-2*j + j**2 + 2*j)*(2 - j - 2) - 2*j + 2*j**3 + 2*j)*(-22 + 76 - 332 - 2*j) as q*j**2 + g*j**4 + m*j**3 + a*j + c and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-5))**(-1\/24))**(-7)\/(g**(4\/11)*g*g\/g**(-1\/6)*g**(5\/3)\/(g**(-9)*g)) assuming g is positive.\nAnswer: g**(-3605\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -297, -304, -315, -330, -349, -372, -399?\nAnswer: -430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101110011110111100 - -1011010?\nAnswer: 1101110100000010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + 2. Is l - 5\/(10\/(-4)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 5*o - 251, -213*u + 214*u + 50 = o. Suppose -1778 = -8*g + 3*g + 4*c, -3*g + 1066 = -2*c. Calculate the remainder when g is divided by o.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 5:52 AM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 10*d - 45. Let t be u(5). Suppose -2*j - 2*j = -f - 118, -2*j - t*f = -70. Solve 2*m = 5*v + 17 + 18, -j = v - 5*m for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 a factor of 154768989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*j**2 - 2*j**3 - j + 5*j**2 + 2*j**2 as l*j**2 + u + g*j + h*j**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 112 and 14720?\nAnswer: 103040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -1969632 to the nearest 1000.\nAnswer: -1970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -153 in -3\/8, -0.4, 0.5, 5\/6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f - 7. Let n be a(5). Let u(z) = z**3 + 7*z**2 + 6*z - 2. Let q be u(-6). Let i = q + n. Is 3 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - 11) + -4 - (4 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from flfvffllfffflffllv. Give prob of picking 2 v and 2 f.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-75)\/9*5412\/(-2255)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/9944060 and -59\/2555.\nAnswer: 9944060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*x**3 - 416*x + 210*x - 1 + 8 + 206*x - 5.\nAnswer: 32*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 92489, 92497, 92505, 92513, 92521, 92529?\n\"Answer: 8*s + 92481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -443\/13 - -3559\/130. Calculate the common denominator of 35\/6 and w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of g**3\/3 + 7*g**2\/2 + 9*g - 3. Let l be h(-7). Solve l + 1 = -5*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 9, -5*w + 6*w = -3*u + 381. Is u a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -76524 - 42?\nAnswer: -76566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.09 - -0.41. Let s = 1.8 + -1.73. Let f = s + 3.93. Which is the third biggest value? (a) v (b) f (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -4*n - 2. Let y be 1 + 2 + -1 + n. Solve -4*g + 0*g = y for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(1\/7)*z)**(5\/8)*(((z*z**(-26)\/z)\/z)\/z*z)\/z**19)**(-2\/91) assuming z is positive.\nAnswer: z**(2511\/2548)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of g**7\/105 + g**6\/20 + g**5\/15 - 2*g**2 + 4*g. Let n(a) be the first derivative of k(a). Factor n(c).\nAnswer: 2*c**2*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hqrrlfm. What is prob of picking 1 h, 1 l, and 1 r?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -70060*t + 2. Let d(a) = a. Give d(v(z)).\nAnswer: -70060*z + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -46*j**2 + 45*j + 1.\nAnswer: -(j - 1)*(46*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in 5\/4, 1, 2\/21, 0.5, 812?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-104)\/(-6))\/((-254)\/381) + -21\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + 2. Suppose 3*g - 5 = -i, -3*g - i = -u*g + 9. Solve -5*x = -5*v + 5, 2*x - 3*v = g*v - 5 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18870000 rounded to the nearest one million?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.45023 to two dps.\nAnswer: -0.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/3 + 772*q**2 - 45420*q + 676800.\nAnswer: -(q - 2256)*(q - 30)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.03426 - 0.26574. Is -3\/67 bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -8, 0, 3 in descending order.\nAnswer: 3, 0, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 1366 - 234. Is z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of 2*d**3\/3 - 3000. Let s(i) = -851*i. Give q(s(r)).\nAnswer: 1448402*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 207150 to the nearest integer?\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*x = 3 - 5, 2*z = -2*x + 2. Let h = -1\/39 - 35\/156. Which is the third smallest value? (a) z (b) h (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - p**2 + 3*p - 2. Let r be x(2). Suppose b = w - 2*b - 5, -w + 2*b + r = 0. What is the greatest common factor of 14 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16.94 * 581.64\nAnswer: 9852.9816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-156*s**3 - 44 - 2176*s**3 - 2028*s**3 + 44)*((0*s - 4*s + 3*s)*(1 - 3 + 0) + 3*s + 3*s - 2*s) to m*s**4 + z + o*s**2 + x*s + r*s**3 and give m.\nAnswer: -26160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**2 + 29*i - 25. Let v(c) = 3*c**2 - 29*c + 24. Let b(u) = -3*v(u) - 4*w(u). Let a be b(-20). Is 7 a factor of 1270\/26 + -1 + 32\/a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -5*a**3 - 4*a**2 - 2*a + 6. Let b be (0 - (3 + (-3 - -3)))*1. Let d be q(b). Let h = d - 41. What is the highest common divisor of h and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 56 + (-134 - -40)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**3 - 3*i**2 + 3*i. Let r be j(2). Let z = -6 + r. Suppose -4*c - z = g, 3*g - 20 = 3*c + c. Solve g*q + q - 25 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 - 26 = -10*u. Suppose -636 - 4159 = -u*n. Suppose -2*w + 913 = 4*k + w, -2*w + n = 3*k. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 100*u**2 - 6*u + 227. Let l(x) = -x**2 - x + 3. Let a(q) = k(q) - 4*l(q). Differentiate a(h) wrt h.\nAnswer: 208*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + (sqrt(7) - sqrt(28)\/sqrt(4))) - (-1 + sqrt(7) + -1 + 5).\nAnswer: -sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - 16. Suppose -4*l - 4 = 5*m, l + c*l - 4*m - 20 = 0. Suppose l*d = 3*d + 46. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(360\/(-16)))\/(2\/(-6))*-10\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -185 + -566. Let m = 751.000000678 + l. Round m to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 + 1)*-2 - -7. Let o = k - 14. Let v(x) = 6*x**2 - 2*x + 6. List the prime factors of v(o).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28652124090737 - -0.4\nAnswer: -28652124090736.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1534\/126 - 760\/(-912)) + -2 - 11?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -223 + -20?\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -20 + 20 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.71429343 plus -14?\nAnswer: -12.28570657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 651 and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 m when three letters picked without replacement from mtmtktmete?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*l + 7 = 0, 0*l - 8 = -4*z + 4*l. Differentiate -z - 2*a - 4 - a - 2 with respect to a.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2127*o + 4751 = -1630 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 10:13 PM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 375, 746, 1117?\nAnswer: 1488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -25*r + 53. Let u be k(10). Let j = 369 + u. Is 29 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, d: 5, v: 3}. What is prob of sequence vd?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 79*c*m**2 - 2*c*m + 3*c + 16*m wrt m?\nAnswer: 158*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-3\/7)*b*b**(2\/51))\/(b\/(b*b*b**7*b))**(-1\/22) assuming b is positive.\nAnswer: b**(9437\/7854)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1571 + 1610 - 4748 + 1567 - 12*j - 4*j**2 + 12*j.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4639.\nAnswer: 4639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.0752, -0.03, 0.2, -1\/2, 4, 0.4, 1\/7?\nAnswer: -0.0752","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13314 - 5?\nAnswer: 13306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 2 o, and 1 y when four letters picked without replacement from oooniioy.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2030 a factor of 950852000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (3 + (-2 - 17) - -6) + 6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1\/17)\/((w\/(w\/w**(-2\/17))*w)\/w*w)*w**0*w*w\/(w\/w**(4\/3))*((w**(-3\/2))**(21\/8))**(19\/2) assuming w is positive.\nAnswer: w**(-58775\/1632)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*r*y**4 - 389*r*y**2 + r*y - 165*y**3 - 1 wrt y.\nAnswer: 120*r*y - 990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -9*l + 1. Is 15 a factor of x(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -4*z**2 - 3*z. Let y(q) be the second derivative of -q**4\/12 + 4*q. Let w(x) = u(x) + 3*y(x). What is the second derivative of w(v) wrt v?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12b3a (base 13) to base 7\nAnswer: 203433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.55*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 394.324 less than -36008.23?\nAnswer: -36402.554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjtjjjjjtjtjjj. What is prob of sequence jtjt?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 2*l**2 + 4*l + 3. Let q be n(-2). Let c(j) = -j + 3*j**2 - j + 0*j + 2. Let k = 1 - 3. Let i(a) = -7*a**2 + 5*a - 5. Give k*i(o) + q*c(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p - 1. Let z be r(-2). Let i be -10*(-1)\/z*4. Suppose -n + 3*a + 22 = 0, -n - 3*n - 4*a = -i. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 692003520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, t: 1, i: 1, x: 2, d: 5, y: 2}. What is prob of sequence ixt?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + 1 + 1 + -9. Let j = w - -18. Solve j = 4*m + 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 + 17*b - 3. Let c(x) = -700*x**2 - 1. Let k be c(1). Let v = 718 + k. What is q(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 472 - 226. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -10356800*b. Let u(h) = 7*h. Determine d(u(w)).\nAnswer: -72497600*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 - 31. Let m = -1 - o. Suppose -5*s + 130 = -0*h - 2*h, m*s - 86 = -2*h. Does 4 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -102369202 to the nearest one hundred thousand.\nAnswer: -102400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**31\/((c*c\/(c**37\/c))\/c)*c**(-22)\/c**(2\/3))**(2\/39) assuming c is positive.\nAnswer: c**(20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 61*w**2 - 111*w - 492. Give f(59).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = p + 3*u, u - 15631 + 15645 = -2*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 173663 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xuuojbubu. What is prob of picking 1 u and 1 x?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/2, -5, -1868811?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -0.4, -20\/3, -3, -119, 9\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p**4\/2 - 81*p**3\/2 + 379*p**2\/2 + 81*p\/2 - 190 = 0. Calculate p.\nAnswer: -1, 1, 5, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/85 and -47\/1275.\nAnswer: 1275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y - 6 = -3*y + 4*v, 3*v - 4 = 2*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 217499?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + -14. Which is the smallest value? (a) 1 (b) w (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - a**3 - 5 + 3 - a + 5*a**4 + a**4 in the form k*a + t + r*a**2 + n*a**3 + b*a**4 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-264)\/10)\/(-4) + -3 and (-2)\/(-3) + -6 + 130\/66?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -5*a - 0*a + 205, 2*a - 100 = -4*q. Let w be 6\/(-33) - (-316)\/a. Solve -3 - w = -5*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 3:17 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.3 or 7?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 2:48 PM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000076168 rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**6*l)\/l**(5\/7)*l*l\/(l**(3\/11)\/l)*l\/l**(-3))**6 assuming l is positive.\nAnswer: l**(6012\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 + 37*b - 129. Determine q(33).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7959 - 7899. Calculate the highest common divisor of 29160 and a.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (1 - -2 - (-4 - (5 - -3)))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 268822?\nAnswer: 2, 257, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(-2\/7))\/t*t)\/t)\/(t*t*t\/(t**(-9)*t)*t)*t**7\/t*t**3*(t**(-7)*t**(-1))\/(t\/(t\/t**(2\/7)*t*t))**(-29) assuming t is positive.\nAnswer: t**(-61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 50839.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 9:54 AM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-52)\/(-8) - 1\/2. Let m be 25\/y + 16\/(-96). Suppose 0 = -5*l + 4*s + 221, m*s + 6 + 10 = 0. Is 28 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/1664*-352)\/(9\/(-12))?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 7. Let h = -2 - k. Let t(l) = -2*l - 1. What is the units digit of t(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11\/(-52) - (3420\/195 - 18). What is the closest to -0.2 in -5, 1, x, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6962.787 years in decades?\nAnswer: 696.2787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -5*g - 3*z, -g + 35 = -661464*z + 661467*z for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -96053 from -4.\nAnswer: 96049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 8*p**2 - 7. Let s be l(7). Calculate the highest common factor of 3 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5*u - 8088. Suppose -6*x = -0*x - u. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 8:07 PM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1065 + -1065. Solve 0 = -2*s - 2*j - 4, k = -4*s + 4*j + 4 - 12 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -88610 rounded to the nearest 1000?\nAnswer: -89000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 209*i + 7. Let f(s) = 421*s + 14. Let g(p) = 4*f(p) - 9*v(p). Calculate the remainder when g(-2) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1252020529839\/136606660 - -3\/6830333. Let i = 9167 - x. Calculate the common denominator of i and -71\/66.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28825 and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 610563211 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 130241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-3504)\/1095)\/(2\/(-325)) is divided by 143?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-416)\/(-312))\/(45\/54)\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of y**5\/6 - y**4\/8 - 2*y**3\/3 - 3*y**2. Is d(-2) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 469 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 99313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37 - 1. Let p = i - -157. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35751?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 1. Let g(i) = -i**2 + 6*i - 4. Let d be g(n). Suppose 4*o - d*z - 34 = -4, z = 2*o - 12. Calculate the highest common divisor of o and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -32 + 635?\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p**2 - 659*p + 1078. What is h(218)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 478612 = -11*c + 10*c + 3*l, 957196 = -2*c - l. Round c to the nearest 10000.\nAnswer: -480000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**4\/15 + 4*l**3\/5 + 114*l**2 + 12736*l\/15 - 3584 = 0.\nAnswer: -16, 3, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 514?\nAnswer: 2056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - -24. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 410661 and 30.\nAnswer: 4106610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(576) - sqrt(576)*1)*6 + sqrt(576) - sqrt(576) - (2*sqrt(576) - sqrt(576) - sqrt(576))*-6)\/(6*(sqrt(972)*-1 + sqrt(12))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**2 + 4. Let h(b) = -3*b**2 - 5. Let a(t) = -3*h(t) - 4*v(t). Is a(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -693.7 times -1.4\nAnswer: 971.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 2, -1, -2, 3 in ascending order.\nAnswer: -4, -3, -2, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 3*n**5 - 309*n**4 + 4557*n**3 - 14907*n**2 + 17364*n - 6708 = 0.\nAnswer: 1, 2, 13, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4051\/25405 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81328080 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9094 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 90*j**2*r**3 + 152830367*j**2 + 984202*r**2 wrt r.\nAnswer: 270*j**2*r**2 + 1968404*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of 11*j**9\/63 + 63*j**5\/20 - 22*j**2 - 54. Let y(b) be the second derivative of r(b). Find the third derivative of y(g) wrt g.\nAnswer: 10560*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4350 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(13) + sqrt(650)\/sqrt(2) - sqrt(13) - sqrt(156)\/(-2*sqrt(12))))*6*5.\nAnswer: 165*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45\/16382 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) - sqrt(110)*1*5)\/sqrt(10) + 4 + (sqrt(11) + sqrt(110)\/(sqrt(20)\/sqrt(2)))*2 + -1)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 49\/18 + 4\/(-18). Which is greater: d or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**2 - 260*v + 3810. What is i(17)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 1:37 PM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 4*m**2 + 3*m - 9. Let s be n(-4). Suppose -5*v + 100 = 2*z + z, -4*v - 4 = 0. Let x = z - 31. Sort x, s, 5.\nAnswer: s, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -110*d**5 - 1031*d**4 - 790*d**3 + 8108*d**2 - 3048*d = 0. What is d?\nAnswer: -6, -127\/22, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 9:44 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*j + 3*x, 0*j - 2*x + 14 = j. Suppose 0 = j*c + 5*c - 26. Solve -8 + c = -3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/20 and -33\/10758844.\nAnswer: 53794220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -270*a + 631*a**5 - 630*a**5 - 396*a + (2 - 1 - 3)*(5*a**2 - 2*a**3 - 5*a**2)*(5*a**2 - 4*a**2 - 2*a**2).\nAnswer: -3*a**5 - 666*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1046 in 0.2, 3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/20 and -93\/274442.\nAnswer: 2744420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 491*a**2 - 5*a - 1. Let l be (15\/(-60))\/((-1)\/(-4)). What are the prime factors of i(l)?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1029098, 2058194, 3087290, 4116386, 5145482, 6174578?\nAnswer: 7203674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 512\/192*(11 + 1\/1). Solve -875*o = -867*o - k for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((1742958\/(-116))\/63)\/(18\/(-4))\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 4*b**3 - 8*b**2 - b - 2. Let q(t) = -5*t**3 + 9*t**2 + t + 1. Let u(w) = -4*i(w) - 3*q(w). Let g be u(4). Solve g = h + 4*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44*l + 3 + 21*l - 3*l**2 + 23*l to w + b*l + g*l**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -4*u - 4*k, 0 = -5*u - 3*k - 0 + 65. What is the third derivative of 0*y**2 - u*y**3 - 10*y**2 + 9*y**3 wrt y?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2372 - 1943 = -429*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/13844832 and -13\/576868.\nAnswer: 13844832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.6 - -0.6. Let i = -2.8 - w. What is the smallest value in i, -3\/4, 0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x*x*x**(-11)))**(2\/111)*(x\/(x*(x*x**(-11)*x)\/x))**(-44) assuming x is positive.\nAnswer: x**(-16274\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (15246\/(-1848))\/(((-9)\/12)\/(-3))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194 = 4*v + 2*p, v + 54 = 2*v - 5*p. What is the hundreds digit of (-6)\/15 - 665\/(-25)*v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3248476.\nAnswer: 2, 7, 11, 53, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -997873 + -6?\nAnswer: -997879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/2 - 1649*u**2\/2 + 3292*u - 3290.\nAnswer: (u - 1645)*(u - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14856\/7 - -2122. What is the nearest to 0 in j, -2, 91?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 + 0*j**2 - 2*j**2)*(-1 + 1 + j) - 10*j - 4*j**3 + 10*j.\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -40*q. Let m(h) be the third derivative of -h**5\/30 - 4*h**2. What is m(f(x))?\nAnswer: -3200*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 - 16 - 14*q as o*q + s and give o.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.14 in -2, -5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 19536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 224 - 224 + 117*g + (-g + 3*g + 0*g)*(-6 + 3 + 2).\nAnswer: 115*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**0*p)\/((p*p**0*p)\/p))**(-10\/3)*(p*p**(2\/5)*p*p\/(p*(p*p**(-3\/2))\/p))**(2\/37) assuming p is positive.\nAnswer: p**(-1733\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + sqrt(76)\/(sqrt(8)\/sqrt(8))).\nAnswer: -8*sqrt(19) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -1897?\nAnswer: -1894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*a*w**5 + 6*a*w**4 + 249*a*w**2 wrt w?\nAnswer: -540*a*w**2 + 144*a*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 29*z - 95 = 0. Suppose -z*j = 0, -9*j - 190 = -5*c - 5*j. Solve 0 = 40*d - c*d + 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33 + 38. Which is the closest to 5? (a) 1\/4 (b) 2\/7 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 2 h, and 1 e when four letters picked without replacement from hdedhhuelkdel.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 857d + 186?\nAnswer: 8714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4, 2, -8, -26?\n\"Answer: -4*o**2 + 10*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2, -2, -10, -22, -38?\n\"Answer: -2*k**2 + 2*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(3) + (0 + sqrt(3)*-1 - sqrt(3))**2))*2.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 633.\nAnswer: 316.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 5*f**2 - 8*f + 10. Let j be y(3). Solve 2*t + 14 = -t - j*p, -3*p - 9 = 3*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2451942 and 11814.\nAnswer: 1074","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rf when two letters picked without replacement from pffmffpfprpfpmff.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85 divided by -17.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 124*h*t**2*u + h*t*u + 620*h*u**2 - 2*t**2*u**2 + 8*t**2 - 2*t*u**2 - 3*t - 2*u wrt u?\nAnswer: 1240*h - 4*t**2 - 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*p**3 - 6*p**3 + 13*p**2 + 13*p**2 - 26*p**2.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -123690 (base 11) to base 16.\nAnswer: -2fa4f","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -26 - -28. Let y(t) = -r*t + 3 + 7*t + 2*t - t. Let c(j) = 2*j**2. What is y(c(o))?\nAnswer: 12*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3118223?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 18*p - 29*p - 3 + 0 + 15*p - 39*p**2. Let y be b(2). Let a = -78 - y. Is 23 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/8)\/(510\/(-2040)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of 13*f**4\/24 - f**3\/2 + 3*f**2. What is the units digit of n(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*y**4 + 3*y**4 + 11 + y**4 wrt y?\nAnswer: 40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131 is divided by 103.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -3153.243 to the nearest ten.\nAnswer: -3150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8262\/27209 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that c**3\/2 - 737*c**2\/2 - 5969*c\/2 + 6705\/2 = 0.\nAnswer: -9, 1, 745","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9060\/(-14496))\/(2\/(-32)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -3*w**5 + 12*w**3 - 6*w**2 - 9*w + 6 = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/85 in -0.2, -5, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*b + 26*b + 2 = 3*v, 14 = 4*b + 5*v. Solve -8*p = -4*p + u + 13, 2*p + b = 5*u for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 638770 a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(3\/5))\/(l\/(l\/(l*l*l\/(l\/l**5)*l*l)))*l*l**(-2)\/l*l*l**6*l)**(-2\/93) assuming l is positive.\nAnswer: l**(26\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1675.5 - -4?\nAnswer: -1671.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 108 - 107. Which is the nearest to 0? (a) -5 (b) u (c) -10\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02155 times 0.195?\nAnswer: -0.00420225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 895323778 to the power of 1\/2, to the nearest integer?\nAnswer: 29922","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 480 and 1020?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 131404 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 828043.9mg to kilograms.\nAnswer: 0.8280439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 533, 1068, 1603?\n\"Answer: 535*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152*c + 140*c + 97224 = 0. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of a**4\/3 + 80*a**3\/3 + 152*a**2 - 574*a. Solve i(d) = 0 for d.\nAnswer: -38, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1008, 4045, 9118, 16227, 25372, 36553?\nAnswer: 49770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2 - 8*l + 3. Suppose n + 2*j = -10, -n + 4*j - j = -5. Let o = 6 + n. Suppose -o*z - z = -6, 0 = 2*f + z - 12. Calculate u(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of d**9\/15120 - d**5\/15 + d**4\/4 + 6*d. Let b(x) be the third derivative of a(x). Differentiate b(g) wrt g.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 43068312*i**3 - 26327688 wrt i.\nAnswer: 129204936*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 518.368 litres in millilitres?\nAnswer: 518368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21 - -31?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 355 and 5.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 + 3 = -4*z + 5*q, -4*z + q - 1 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 0, o - 6*o + 16 = 4*h. Let f be -4 - ((-1)\/2 - 518\/h). Let z = -113 + f. Calculate the remainder when 90 is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven fifths of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1027378 + -11301156\/11. Let c be 32\/(-6) + 2\/6. Let w = 1.3 + -0.3. What is the second biggest value in 2\/5, w, c, z?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) 3 (b) -198\/13 (c) -0.1 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2444030888 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 301, 1202, 2703, 4804, 7505?\n\"Answer: 300*w**2 + w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45658?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 100565184?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 548*x**3 + 23*x + 741706.\nAnswer: 1644*x**2 + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + i + 44 = 0. Let z(n) = n**3 + 11*n**2 + 10. Let f be z(i). Solve 0*m - 4*c - 26 = 2*m, 2*c = -f for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a - 3*x + 31, -6066*a - 5*x = -6070*a + 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -d + b, -5*d = 2*b. Let v(g) = g**2 + g - 6. What is v(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.571 - 1.501. What is the third biggest value in c, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -45, 1, 921.\nAnswer: -45, -12, 1, 921","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 2*l + 6, 0 = -47*l + 52*l - 15. Let b(q) be the first derivative of 0*q**2 - 1\/6*q**u - 1\/9*q**3 - 18 + 0*q - 1\/15*q**5. Factor b(o).\nAnswer: -o**2*(o + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 7, n: 6, q: 4}. Give prob of picking 1 z, 1 n, and 1 q.\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k - 4 + 4)*(-4 + 2*k**2 + 4)*(-6789*k - 32*k**2 + 6789*k).\nAnswer: -256*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 7409?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 187 + -185. Let s be (6\/x)\/((-39)\/(-6) - 5). Determine v, given that -s*v**4 + 8\/5 - 6\/5*v**5 + 18\/5*v**2 + 22\/5*v**3 - 32\/5*v = 0.\nAnswer: -2, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-8)*6*-2. Suppose 62 = m*i - 22. What is the remainder when 33 is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1264*p**5 - 1016*p.\nAnswer: -25280*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1)\/f)**35\/(f\/(f**6*f)*f\/(f*f*(f*f\/f**4)\/f*f)))\/((f**(-2\/5))**30*f\/(((f*f**(-9))\/f)\/f)*f**7) assuming f is positive.\nAnswer: f**(-71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 105*t**2 + 430*t - 785. Determine c(-109).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1*(0 + sqrt(99))**2 + sqrt(99))*-2.\nAnswer: -194 - 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 35.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 868 and 252.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*t + 4 - 3 + t)*(-1 + 3 - 1)*(3 - 3 + 2) + 4*t + 0*t - 5*t in the form d*t + r and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-1) + 35\/25*5. Suppose -24 = u*d + 2*x, 5*d = -10*x + 5*x - 40. List the prime factors of (15\/d)\/(6\/(-112)).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00180062975 rounded to seven decimal places?\nAnswer: -0.0018006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 5 (b) -2 (c) -2823 (d) 3 (e) 2\/27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqaaaqxaqqa. Give prob of sequence aa.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -2 (c) 1\/2575 (d) 0.4 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 24094 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/46920455 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132340?\nAnswer: 2, 5, 13, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211 + -10101102222202?\nAnswer: -10101102221221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h. Suppose 4 = j - 1. Let g be y(j). Let i = -25.3 - -25. What is the biggest value in g, i, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 13. Let p = -0.203 + -3.197. Let u = p - -3.42. Which is the third smallest value? (a) o (b) -8 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -13, -5, 5, 17, 31, 47?\n\"Answer: v**2 + 5*v - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -33*a**2\/2 - 33*a + 29. What is the units digit of p(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19385.\nAnswer: 5, 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6587228, -6587220, -6587212, -6587204, -6587196?\n\"Answer: 8*l - 6587236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 5*w + 24 = 0, -23*j + 3*w + 12 = -26*j. What is the closest to 1 in -2.7, j, 4\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 57 + 95 + 511*q + 59 + 25.\nAnswer: 511*q + 216","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-235103)\/(-1276))\/((-1)\/(-4)).\nAnswer: 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -87, 0 in ascending order.\nAnswer: -87, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32.41 - -32.42707. What is w rounded to 4 dps?\nAnswer: 0.0171","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -306 greater than or equal to -308?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/(-22))\/(-1))\/((-140)\/(-385))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 5 - 15 + 0*c - 7*c. Calculate the remainder when m(-5) is divided by (-1)\/(-2)*-2 - -10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - j**2 + 3*j - 4. Let l = -127 + 122. Let i be l + 12 + -2 - 1. Suppose 7 = 2*r - r + 2*g, i*r + g + 7 = 0. Give t(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -1228*i**3 + 15*i**2 - 19*i + 52. Let d be x(12). What is d rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 7 = -3*z, 1 = 3*k - 2*k - z. Suppose k*m = 3*m + 11. Calculate the least common multiple of 8 and m.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y = -16*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/1*-2)\/(6546\/3273))\/(45\/(-288))?\nAnswer: 64\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of 3*m**5\/80 - 123*m**4\/16 + 3843*m**3\/8 - 11163*m**2\/8 - 422*m. Let f(t) = 0. Calculate t.\nAnswer: 1, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = w - 84, 2*w = -4*z - 59 + 171. Suppose 58764 = -16*a + z*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 5) in base 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67942866.\nAnswer: 2, 3, 59, 191929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 495*x**3 + 14 - 32*x + 12*x**2 + 504*x**3 - 1000*x**3. Calculate g(8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((350\/(-800))\/(133\/(-5244)))\/(9\/(-48))\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192573 is divided by 4584?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4436 - 4405. Solve 23*b + a = 54*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y**2 - 30*y - 1. Calculate g(-15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*y = 31*y - 21460. Suppose 1429 = 2*a + x, 0*a + x = -3*a + y. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 103*q + 25358. What is x(-249)?\nAnswer: -289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -8, 149539 in increasing order.\nAnswer: -8, 0, 149539","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.8 from -19369177272.\nAnswer: -19369177272.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -q + 4 - 0, -4*q + 3*g = 3. Suppose q = 2*z + 3*s - 511, -s + 671 = 2*z + 150. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 963*j**5 + 66444*j**4 - 5568273*j**3 + 17346*j**2 = 0?\nAnswer: -118, 0, 1\/321, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-19)\/(-2) + 1\/(-2). Suppose u*z - 300 = 1311. Calculate the remainder when z is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11.2688 and 0.2?\nAnswer: -2.25376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-387)\/(-30) - (-16 + 318\/20))*-2\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3*1066\/(-1456) - 3\/(-8)\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 2, 782?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14597869?\nAnswer: 11, 13, 31, 37, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 - -0.2. Let l = g - 0.6. Which is the second biggest value? (a) l (b) -3\/2 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(160) + -2*sqrt(160))\/sqrt(4))\/(sqrt(48)\/sqrt(6)*3).\nAnswer: -sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5)\/(50\/(-219560)) + -14 + 7.\nAnswer: 47, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 353076\/132 - (8 + -1). Let l = -2670 + m. Is l < -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 3*y = -90. Let l be -1 - ((-27)\/y - 0). Let t = 31\/110 + l. Which is the second biggest value? (a) 2 (b) 1\/3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 8*y - 6. Give z(-13).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z + 17 = 31, 5*y = -3*z + 16 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q + 91. Let k(l) = 1680002*l. Calculate m(k(s)).\nAnswer: 3360004*s + 91","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6 - 19*j**3 + 6 - 17*j**3 + 24*j wrt j?\nAnswer: -216*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -1534452*n. Let z(q) = 24*q**2. Determine k(z(t)).\nAnswer: -36826848*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h + 10*h - 7*h + 3*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/3)\/k)**10*(k\/k**(-1\/7))\/(k\/(k\/(k*k*k\/k**(3\/4)))) assuming k is positive.\nAnswer: k**(-1213\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ioiodkkdiidkioiliid. Give prob of sequence ko.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*y**2 + 50*y - 5*y + 61*y - 22*y**2 in the form r*y + f + c*y**2 and give r.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1143*s - 4196*s - 315*s - 130042 for s.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (28 + -11) - 13?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -12450.\nAnswer: 1\/6225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaxw when four letters picked without replacement from wxwwwawaawaawaxua?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 48, -5, -3 in decreasing order.\nAnswer: 48, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*m**2 + 4367 - 4367 to a + s*m**2 + x*m and give s.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 18*w + 130. Let k be s(-7). Let f(q) be the second derivative of 0 + 5*q**2 - 5\/3*q**k + 0*q**3 - 3*q. Differentiate f(u) wrt u.\nAnswer: -40*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3064310680064 and -74?\nAnswer: 3064310679990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 878*n**3*q**3 - 65*n**3*q + n**2*q**3 + 136*n*q**2 wrt q.\nAnswer: 5268*n**3 + 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 344 - 18*i**2 - 582*i + 17*i**2 + 581*i + (i - i - i)*(4*i - 2*i - 4*i) + 3*i**2 - 4*i**2 + 2*i**2 to the form o*i**2 + t + r*i and give t.\nAnswer: 344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 263874.\nAnswer: 2, 3, 13, 17, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 + -11. Suppose -12 = -d*x + 3*x. Let j be 1*(x - 3) - 0. Solve j*s - 8 - 7 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 58 + -17. Let s = -45 + x. What is the nearest to 0.02 in 2\/5, -1\/4, s?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1628998 and 26529396.\nAnswer: 185705772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 225 and -3854748936.\nAnswer: -3854748711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**3*k*k**(-1\/6)\/k*k*((((k**(2\/3)\/k)\/k)\/k)\/k*k)**(21\/4))\/(((k**(-1\/2)*k)\/(((k\/(k\/k**5)*k)\/k)\/k))\/(k**(-1\/2)\/k*k**(-5\/2)*k*k)) assuming k is positive.\nAnswer: k**(-83\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aas when three letters picked without replacement from {h: 4, o: 4, a: 3, s: 5}.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iff when three letters picked without replacement from {i: 1, t: 3, f: 2, l: 5, y: 6}.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 plus -2.230413?\nAnswer: 53.769587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -92 + 123\/((-66297)\/(-50204))\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -107*v**3 - 2*v**2 - 29*v - 83. List the prime factors of s(-5).\nAnswer: 11, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -0.11, -0.5, -1\/11, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*c**4 + 4*c**2 + 2*c**3 + 3*c**3 + 3*c**3 - 24*c**4.\nAnswer: 4*c**2*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 23*l**2 - 37*l + 146. Give q(-21).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2.35 (b) -2\/13 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-6)\/z**(-2\/3))\/(((z\/((z\/(z\/(z**(-3\/5)\/z))*z)\/z))\/z)\/(z\/z**(-7))))\/(z**3\/(z**(-1)\/z*z*z)*z**(-1\/6)\/z**(2\/3)) assuming z is positive.\nAnswer: z**(-11\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -144 - -9.306602794?\nAnswer: -134.693397206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 142 - -2 - -8 - (56 + -40 + -2 + -3)?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 + (41 - 42 - (-3 + 7 + 7)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*a - 21407 = -238*a - 8012 + 21948 for a.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1435776793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*a - 117 + 231 - 118 + (-3 - 2 - 9)*(0 + 4 - 3)*(0 - 1 + 2)*(-2*a - 4*a + 7*a) as z + b*a and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.5421 + -0.0879. Let z = u + -0.07. Round z to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 142.33 - -2.67. Let m = b - 161.1. Let y = m + 16.1123. Round y to 3 dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -1, 5, 0.09?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1624.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p + 15*p = 75. What is the highest common factor of 15 and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -7*j**2 + 6*j**2 + j**3 - j + 44 + 0*j**2 + 0*j**3. Suppose -4*x = -2*x - 18. What is the remainder when o(0) is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/10056 and 47\/1361750?\nAnswer: 16341000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3168.381160023 - 5.\nAnswer: -3173.381160023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.141 and 126010?\nAnswer: -17767.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -3*x + 3124, -5*u + 3216 = 5*x + 86. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of 5*o**3\/6 + 3*o + 153. Let y(v) = -1861*v**2. What is p(y(l))?\nAnswer: -9305*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29913, -43305, -56697, -70089?\nAnswer: -83481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -10 - (-3 - -16 - -3).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 15*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i - 24. Give y(-27).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 972501 and 60.\nAnswer: 19450020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 177*q + 716. Let l be d(4). What is the greatest common factor of l and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224318 is divided by 17254.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/19? (a) -4 (b) 3 (c) 2318 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 2*c - 6 = 0, -6*c + 20 = -2*c for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2252 - 64?\nAnswer: -2346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*p + 4*p**3 + 3*p + 10*p wrt p.\nAnswer: 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1.1 (b) -3 (c) 1 (d) -5\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -q - 0*q. Suppose -4*n + 5*t = n - 100, 0 = -q*n - 2*t + 62. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 12 - (-2 + 17)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41 + -29. What is the remainder when 34 is divided by (12\/(-8))\/(-3)*d*2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14678 (base 10) to base 6\nAnswer: -151542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sqs when three letters picked without replacement from {p: 4, s: 2, b: 8, q: 4}?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 15693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 220228, 220221, 220214, 220207, 220200?\nAnswer: 220193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 10. Suppose l*u + 3*u + 5*v + 42 = 0, 3*u - 3*v + 42 = 0. What is the remainder when 10 is divided by 2\/7*-1*u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -4*s**2 + 3*s - 3. Suppose 16 + 6 = -22*y. Let t(j) = -j + 1. Determine y*f(m) - 3*t(m).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2787167 to the nearest integer?\nAnswer: 1669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.766197 decades in centuries?\nAnswer: 0.6766197","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*a + 9*a - 100144 - 92194. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 55 - 53. Calculate the remainder when 3 is divided by q*5\/6 - 1\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 5*a**2 + 8*a - 14. Let q be r(4). Suppose 0 = 2*i + i. Sort 1, q, i.\nAnswer: i, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/(-4))\/(42\/(-140)). Suppose -2*x + 3*x = a. Solve -4*w - x = -1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 16 = -5*w, -4*q + 3*w = -w. Suppose -4*t + 3*h = -1903, -12*h - q = -8*h. List the prime factors of t.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 202 (base 14) to base 9\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((3 - -2)\/(-40))\/(1\/(-3)). Let a(o) be the third derivative of 0*o + 0*o**3 - 1\/10*o**5 - h*o**4 + 0 + 1\/8*o**6 - 4*o**2. Find i such that a(i) = 0.\nAnswer: -3\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0010874518028 rounded to five decimal places?\nAnswer: 0.00109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -84 + 137. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74369?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -3*r + 44, 5*o = -0*r + r + 7. Calculate the remainder when 5 is divided by ((-1)\/3)\/((-3)\/r).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.02, 3, -78, -1, -5, 19 in ascending order.\nAnswer: -78, -5, -4, -1, 0.02, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1739, 1749, 1759?\nAnswer: 1769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-2)*(-14)\/(-6). Let j(d) = 2*d**2 + 11*d + 16. Is j(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141 = 4*o - 137, -2*o + 7 = y for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -107257304?\nAnswer: 1\/26814326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p**3 + 1137760*p**2 + 6826668*p + 10240056 = 0 for p.\nAnswer: -3, 284446","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 15*t**2 - t - 1. What is the hundreds digit of d(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -72260*g*h*p**3 + 37*g*p**3 + 11*h*p + 1228344*p**3 wrt g.\nAnswer: -72260*h*p**3 + 37*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-6*(sqrt(68) - sqrt(68)*-2*-4))\/((2*sqrt(196) + sqrt(196) - sqrt(196))*-6).\nAnswer: -sqrt(17)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of 3*o**7\/14 - 3*o**4\/4 - o. Find the third derivative of x(b) wrt b.\nAnswer: 540*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2729 a factor of 361580951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h, 1 a, and 1 z when four letters picked without replacement from halzzhh?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-6) - 2\/(-3))*0. Let g be (99 + 7)*(2\/4 + f). Solve -5*n - 58 = -g for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 958287 divided by -781.\nAnswer: -1227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 691935.5 weeks?\nAnswer: 418482590400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/6*(-2 + -1). Let i(j) be the second derivative of -j**3\/3 + 3*j**2\/2 + 3*j. Let q(d) = -12 + 2 + 9. Calculate u*i(p) + 2*q(p).\nAnswer: -2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c - 2. Let m(h) be the second derivative of h**3\/6 - 2*h. Let i be m(4). Is j(i) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1364440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*h**2 - 5*h + 897?\nAnswer: 12*h - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10662861.1 rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -447*r + 229 = -2900 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 73*d**3 + 2*d - 1. What is o(1)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 2:02 AM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88.9701 milliseconds to seconds.\nAnswer: 0.0889701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 15. Let w = 0.1 + 0.3. What is the second biggest value in i, 2\/13, w?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25894 is divided by 1221?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -133, -74, 1599 in decreasing order.\nAnswer: 1599, -74, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*d = 1832206 + 2027356 + 2122318. Is 293 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5034 divided by -6\nAnswer: -839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -54a8a8?\nAnswer: -54a8a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q - 16. Let r be w(-4). Which is smaller: r or -1\/17?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 4*q**2 + 8*q + 2. Give t(-6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 4*a + 4 = 0, 0 = -t - 0*a - 5*a + 5. Suppose -959 = -3*n + 5*q, 4*n - 2*q - 1302 = -t*n. What are the prime factors of n?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27*t**3 - 16*t**3 + 66*t**3 + 29 - 29 - 8*t**3 + (-4*t**2 - t**2 + 4*t**2)*(-2*t + 5*t - 2*t) + 0 - 2*t**3 + 0 - t**2 - 2*t**3 + t**2.\nAnswer: 10*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5672271?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-90 - -43) + -13 + (-10 - -12 - -3)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 946071?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.03 - 0.03. Let q = u + 4. Let r = q + -3.9. Is 3 at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 16*v**2 - 14*v. Let c(r) = 79*r**2 - 70*r. Let s(o) = 4*c(o) - 22*t(o). Find the second derivative of s(z) wrt z.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 12372\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s - 1. Suppose 4*h - 30 = 4*d - 9*d, 20 = d - 2*h. Suppose 0 = 4*u - 2*u + d. Let c = -8 - u. Determine m(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 451499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of 0 - b - 11\/12*b**4 - 5\/6*b**3 + 0*b**2. Find the second derivative of h(z) wrt z.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 2*p + 7. Give u(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 10:06 PM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of 7*v**6\/2 - 36*v**5\/5 - 3*v**4 - 19. Determine n so that s(n) = 0.\nAnswer: -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35 and 2765.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.7, -1, 512038 in ascending order.\nAnswer: -1, -0.7, 512038","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 14*q**2 + 231*q + 902. Give j(-4).\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 4 - 8*f + 14*f to the form n + m*f and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -187\/3 - -61. Let v = 0.3 - 0.3. Which is the third smallest value? (a) v (b) 0.1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((1 + sqrt(1300) + 2)**2 + -1)*-6.\nAnswer: -7844 - 360*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 5:13 AM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - 8493cc2?\nAnswer: -8493cc6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 5*h**2 - 99*h + 97. Determine f(18).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -5148772\/545 not equal to -9448?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*v - 65*v = -342342. Is v a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*z + 554 + 548. List the prime factors of z.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 9, 10, 15, 24, 37, 54?\n\"Answer: 2*p**2 - 5*p + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7181385, 14362770, 21544153, 28725534?\nAnswer: 35906913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 3651?\nAnswer: -3655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + (sqrt(475) - (1 + sqrt(475))) + (sqrt(76)*-2)**2 + 2.\nAnswer: sqrt(19) + 305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 102 - (-8 + 18) - (-26 - (-7 - 18))?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -1645627?\nAnswer: 1645632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6061829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 13, y: 3}.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 115 and -4654.\nAnswer: -4539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*k - 48*k + 90*k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 17636269 to the power of 1\/2, to the nearest integer?\nAnswer: 4200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 322 - 1026. What is the remainder when (t\/(-55))\/((-1)\/10) is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - 5*j - 109*j)*(3*j**2 - j**2 + 0*j**2) - j**3 - 3*j**3 + 5*j**3.\nAnswer: -231*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-81530291\nAnswer: -24459087.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c - 6. Let v(y) = -44*y. Determine v(i(d)).\nAnswer: -88*d + 264","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (348\/(-1624))\/((-16)\/5) and -67\/108.\nAnswer: 6048","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 140093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 1, -0.38, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 3 - (-6 - -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54 + 0*p**2 - 65 + 2*p**2 + 257.\nAnswer: 2*p**2 + 246","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 54718, 54802, 54948, 55162, 55450?\n\"Answer: v**3 + 25*v**2 + 2*v + 54690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -5*c**3 + 10*c**2 - 7*c - 1. Let p(u) be the first derivative of -3*u**4\/2 + 11*u**3\/3 - 4*u**2 + 54. Let l(s) = 5*o(s) - 4*p(s). Calculate l(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from khssysshskhssv. What is prob of picking 1 s and 1 k?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 7*d + 7. Let f be 5*((-2)\/(-6))\/((-1)\/3). Calculate u(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 266*q = -5*y + 261*q + 5, 2*q + 1 = -3*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -1235\/536143?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 62 + -5 + -4 - (432 - 425)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*h**4 - 250*h**3 - 380*h**2 + 360*h.\nAnswer: 5*h*(h - 18)*(h + 2)*(3*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-748)\/17)\/(-11)*-2)\/(20\/4*-2).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39*g - 15 + 22*g + 18*g to the form q + u*g and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -20605 and -77.\nAnswer: 1586585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 44425 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f - 2*f**2 + 148 - 290 + 144 in the form k*f + j + d*f**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/2 + 1733*n\/2.\nAnswer: -n*(n - 1733)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 79 = -39. Suppose -j + k*j = 2*w - 980, 5*w = 5*j + 2435. Is 28 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 855318 or -3.9?\nAnswer: -3.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in 4, 470, -0.2, 1.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - -4 - -1*2. Let g be 1 - h - (1 - 8). What are the prime factors of (6\/4)\/(1\/g)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -25, 0.5?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -0*a + 2*h + 16, 0 = -2*a - 2*h + 20. Suppose a = 2*w + 32. Is w greater than or equal to -55\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.22 - -0.08. Let x = b - 4.3. Sort x, -0.2, -0.5.\nAnswer: x, -0.5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 673*v**4 + 79591*v**3 - 3*v - 952999148.\nAnswer: 2692*v**3 + 238773*v**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -1076*j + 10. Let g(u) = 18291*u - 168. Calculate -5*g(r) - 84*x(r).\nAnswer: -1071*r","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 + -56. Let h = -40 - q. What is the units digit of h - 4\/(-26) - 19350\/(-130)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159 is divided by (1\/5)\/(10\/3950).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b = -5 + 33 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6\/5*12870\/26 is divided by 150?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1371 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -38510082.\nAnswer: -1\/6418347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -2. Suppose f - v*f = -2. Let r(j) = -f*j**2 + j - j. Let h(z) = 3*z**2. Give r(h(b)).\nAnswer: -18*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 80 + 82, -5*d + 2*n = -59. What is the remainder when 117 is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 270 = 2*s - 4*s, 204 = 3*u - 3*s. Suppose 2*t = -2*o + 30, o + 2*o + u = 5*t. Calculate the smallest common multiple of t and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 25 = -l, 0*a + 2*l - 2 = 2*a. Let b = a - 5. What is the units digit of -2 + (2\/b - -13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-16)\/10)\/(3\/(-15)). Let a be 0*(10\/5 - 3\/1). Suppose t - g - 9 = a. List the prime factors of t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.739 and -71582.\nAnswer: -71581.261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -2*l + 29, 0*g + 6 = 2*g. Suppose a + 4*a - 13 = f, -l = -5*a + 4*f. Solve s - 9 = 2*r + a*r, 3*r - 2*s = -13 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 3. Let q = 151 - 156. What is the third smallest value in 2\/29, q, w?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4d - -2?\nAnswer: -4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 5*c + 11, c - 1 = -2. Let d(i) be the first derivative of 1 + 0*i**2 + 3\/4*i**4 + 1\/3*i**u - i. Calculate d(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11148329.\nAnswer: 149, 74821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u + 3*u + 9 = -3*m, -4*u = 5*m + 15 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s + 481317 = 19*s + 103148. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -8. Let l = z - 5.5. Which is the third smallest value? (a) 2\/7 (b) l (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 18 = -4*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55 - 55 + 1871*o.\nAnswer: 1871*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 times 0.056?\nAnswer: -0.0336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**3 + 3*l**2 - 8*l - 11. Calculate i(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = j - 3*y, 4*j + j = -3*y + 16. Suppose 5*o - p - 16 = 0, -4*o - 3*p = j*p - 7. Which is the second smallest value? (a) 0.2 (b) -3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 8. Let o = w - -10. Suppose -u + 20 = -0*u. Calculate the lowest common multiple of o and u.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3*l. Let v(r) = -6*r. Let w(h) = 4*v(h) - 9*x(h). Let f(y) = y - 1. Let i(m) = -1. Let j(u) = -2*f(u) + 2*i(u). What is j(w(b))?\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + i - 8 - 10)*(0*i + 4*i - 6*i - 16).\nAnswer: -2*i**2 + 16*i + 256","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1104?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -85 - -97. Suppose 6200 - 1592 = w*h. Find the common denominator of (-2320)\/h + (3 - 0) and -69\/20.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9*22.7.\nAnswer: 20.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 561*k + 14182 + 3770 = 0 for k.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/11)\/((l*(l*l**(-1\/3))\/l*l)\/l)*l**(-3\/5)*l\/(l*l**(-5\/4)\/l*l)*((l*l**(1\/5))**(16\/7))**(2\/45) assuming l is positive.\nAnswer: l**(331\/23100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -155\/4 + 39. What is the nearest to -4 in 0, q, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 66, 97, 150, 231?\nAnswer: 346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -388*a - 7375. Calculate v(-19).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0853750125 rounded to 4 dps?\nAnswer: 0.0854","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 0, -38.\nAnswer: -38, -5, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -285*w - 24 = -281*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1136287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 3*u**2 - 13*u + 20. Let b be o(0). Solve b + 10 = 5*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m - 3*f + 1 + 5, 9 = 3*m + 3*f for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2842933631 to the nearest integer?\nAnswer: 1417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 3:58 AM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 369 - 372. Let a be ((-14)\/14)\/(h\/(-12)). Sort a, 5, -1, 4.\nAnswer: a, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 33521 = 2*o + 33505, -26 = -7*o + 4*r for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -2 + 7, -q + 2 = i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 130 (b) -3\/8 (c) -27 (d) 0 (e) 3\/2 (f) 0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 784154 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**5\/3 + 7*n**4\/3 - 2*n**3\/3 - 13*n**2\/3 + 2*n = 0. Calculate n.\nAnswer: -3, -2, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/6 (b) -1 (c) -2 (d) 11 (e) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 4. Suppose -5*h + 39 = 4*b, -5*b = -2*h + 11 - 2. List the prime factors of (-10 - 0)*(w + h - 21).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009077237 rounded to 6 decimal places?\nAnswer: -0.000091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3386*k**2 - 3*k. Let f(g) = g. Determine -3*f(i) - x(i).\nAnswer: 3386*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-21)\/6*24\/(-42). Let j be (8\/(-6))\/2*-12. Suppose 0*c + j = 4*c. Solve 5*k = -5, -c*n + b*k - 4*k = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5402 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h + 8. Let d be o(-5). Suppose -2 = d*m + 4. Let r be 126\/28 - m\/(-4). Sort -1, r, -3 in descending order.\nAnswer: r, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-20))\/(((-10)\/90)\/((-8)\/36)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(500) - (2 + sqrt(500))))**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 11*v**3 - 5*v + 5. Let p(t) = -5*t + 9. Let r be p(3). Let f(s) = 5*s**3 - 2*s + 2. Determine r*k(y) + 15*f(y).\nAnswer: 9*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaeeaaaa. Give prob of sequence aaa.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 17*q**2 + 31*q. Determine f(15).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.231 times -176?\nAnswer: 40.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 6*5 + 2. Suppose -12 + n = 5*u. Let r(f) = -f + 5. Let a be r(-5). Solve t + 4*i = -7, -5*t - i = u*i - a for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5959*o + 5995*o - 12031*o.\nAnswer: -77*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**2 + 104745*m - 1151832 = 0.\nAnswer: 11, 34904","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12, -17, -22, -27?\n\"Answer: -5*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 - -150. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38*-5.06.\nAnswer: 192.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 4*s + 38, 7*s - 12*s = 2*h + 39 for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + n - 1. Let w be r(2). Let c be (-1 - -1 - 2) + -2. What is the tens digit of 11\/c*(-9 + w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-86)\/8 - 2\/8. Let a(y) = y**3 + 12*y**2 + 8*y - 8. List the prime factors of a(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 259 = -2420. Suppose -16*g + 6136 = -14*g. Let b = y + g. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a7 (base 15) in base 6?\nAnswer: -421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -92.9999847 + 93. What is z rounded to 6 dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 60886, 121783, 182680, 243577, 304474, 365371?\n\"Answer: 60897*r - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (14\/28)\/((-2)\/12).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 4:22 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**0\/a)\/a)**(-19\/4)*(a**(-2\/7)\/a*a)**(3\/20))\/(a**(3\/2)\/(a\/(a\/(a\/(a*a**(1\/6)*a*a*a))*a))*(a**(-2\/7))**(-30)) assuming a is positive.\nAnswer: a**(-502\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + k = -49. Let c = 109 - k. Let h = -19 + c. What are the prime factors of h?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 243 = 3*b. Suppose 5*z - 135 = 4*j, -z = -4*z + 3*j + b. What is the remainder when 105 is divided by z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27989*a**3 - 27556*a**3 + 82939*a**3 - 27531*a**3.\nAnswer: -137*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**2. Let a(x) = -3*x**2. Let y be a(-1). Let w be d(y). Solve -w*v**2 - 8\/5 + 56\/5*v**3 + 98\/5*v**4 - 56\/5*v = 0.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.06 - -0.86. Let x = 3.8 - m. Let h = -2 + x. Which is greater: 3 or h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2267*n + 262886. Determine z(116).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 576391630 to the power of 1\/3, to the nearest integer?\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.7 - -0.5. Let x = j + 2.2. What is the smallest value in -0.1, x, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4748422?\nAnswer: 2, 7, 339173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3 + 3)*(-7*g - 12*g + 0*g) to m*g + k and give m.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of p**7\/1680 - 5*p**3\/6 - 5*p**2. Let c(k) be the first derivative of d(k). What is s in c(s) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2133 divided by -782?\nAnswer: 2133\/782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 322 = 60*g - 59*g. What are the prime factors of g?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 28*o - 24. Let v(g) = -11*g + 11*g - 5 + 4 + g. What is -n(y) + 24*v(y)?\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -77587 <= -77591?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -2*r + 60, -13 - 12 = -2*v + 5*r. Let y(j) = -j + 3 + v - 17. Let i be y(7). Solve m - 4*o = -10, i*m - m = -2*o + 12 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.1 (b) -0.15 (c) 2\/37 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/7)\/(190\/14630) - (-1092)\/100?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*f = -19*f - 774. Let x = f + -631. Which is greater: x or -243?\nAnswer: -243","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, 20, -4, -1, 8 in decreasing order.\nAnswer: 20, 8, 4, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -6*c**2 - 5*c + 13. Let r be f(2). What is the units digit of (-12)\/r + (4122\/(-21))\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5414 - -10?\nAnswer: 5424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/36 and 47\/21.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/53 and -55\/559.\nAnswer: 29627","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*g = 0. Let k be 7\/(0 + -2 + 3). Let r(m) = m**3 - 8*m**2 + 7*m - 3. Let l be r(k). Sort l, -2, g in descending order.\nAnswer: g, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2057) + 1 + -5 + sqrt(2057) - (-4 + (sqrt(2057) - (sqrt(2057) + sqrt(2057) + 1) - sqrt(2057)))) + -4*(sqrt(2057) + sqrt(2057)*1)*-6 + 5)**2.\nAnswer: 6864*sqrt(17) + 5562164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11292*10.\nAnswer: 112920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -1\/7, 2, -1\/4 in increasing order.\nAnswer: -0.5, -1\/4, -1\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 - 36*p - 187. Let c = -453 - -426. Calculate the least common multiple of 64 and m(c).\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2031*s + 767680. Give h(-378).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(4*(-3)\/2))\/(25\/2).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(2\/13)\/v*v\/(v*v**0))\/((v\/v**(-5))\/(v**3*v))*(v**(-2)*v*v*v**(-1))**(-1) assuming v is positive.\nAnswer: v**(-11\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 147\/52 - 40\/13. What is the closest to -2\/7 in -3, q, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 520 divide 207399097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 4 - 9*h - 4*h + 12*h. Let c(f) = -f**2 + 5*f - 3. Let s be c(3). Let x be a(s). Round x to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7865, -8499, -9115, -9713?\nAnswer: -10293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 94690618967 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2 - 5660276*a - 4004840549522.\nAnswer: -2*(a + 1415069)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*a = -7 - 29. Suppose -52 = -4*z - 4*l + 8*l, -5*l + 19 = a*z. What is the smallest common multiple of 15 and z?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*t**2\/2 - 4167*t\/2 - 379.\nAnswer: (t - 379)*(11*t + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, p: 4, y: 1, v: 1, m: 1}. Give prob of sequence yv.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 122, 0.2, -19\/21, 6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 87443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44495655 is divided by 110?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 2*f = 20, 4*a - 143 = f - 114 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (776\/2134)\/((-124)\/(-22))?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/4 - (-90)\/20. Suppose -x + 4*d - 10 = 2*x, l*d - 16 = 2*x. Calculate the remainder when 6 is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 4*y - 7*y)*((2*y**3 + y**3 - 2*y**3)*(0 + 3 - 1) + (0*y**2 + y**2 - 3*y**2)*(-2 + 2 + y) - 4*y**2 + 4*y**2 - 2*y**3).\nAnswer: 6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 30804 + -2?\nAnswer: 30802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.12 and 0.016?\nAnswer: -0.00192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22 + -18 + -12 - 1) + (-43 - 1).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 3*v**4 + (v**3 + 2*v**3 - v**3)*(-3*v - 3*v + 8*v) - 31*v**4 - 187*v**4 + 15*v**4.\nAnswer: -196*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-5)*q*q)\/q*q\/(q**(3\/4)*q))**18 assuming q is positive.\nAnswer: q**(-135\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 9*s - 42. Let f(y) = y**2 + 8*y - 8. Let r be f(-14). Suppose -8*h + r = -20. List the prime factors of p(h).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/3)\/((-31)\/((-155)\/(-10))).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**2)\/o)\/o*o**(-2))\/(o**(2\/7))**(-23)*((o*o\/o**3*o)\/o**(7\/5))\/((o*o**(2\/13))\/o**(2\/11)) assuming o is positive.\nAnswer: o**(-4007\/5005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 26945*l**2 + 7572*l**3 - 1 - 26945*l**2 in the form w + p*l**3 + v*l**2 + z*l and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*4*(-4)\/(-16). Solve -f*d = -3*d - 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*a + 48*a + 161280 = 0. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.197499745 to 4 decimal places.\nAnswer: -0.1975","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 2 = 2*h + 4, -2*h = -j + 10 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8368 and 55424.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 10, 75, 7 in increasing order.\nAnswer: -2, 1, 7, 10, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = -7*r + 34. Let k = 9 - r. Let a(t) = 20*t**2 - 2*t - 2. Calculate the remainder when a(2) is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/4 of a millennium?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a meter in centimeters?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 + 2.2. Let q = -3.26 + 0.26. Which is the second smallest value? (a) q (b) h (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3479189137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11.81 - -12.6. Let t = 1433 - 1433.841. Let w = t + i. What is w rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -68\/729 and 82\/567.\nAnswer: 5103","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -25*v**3 - 10*v**2 - v - 53. Is i(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 683*b - 154*b + 173*b + 171*b.\nAnswer: 873*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2298446?\nAnswer: 2, 127, 9049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/159 and 2\/36 - (2 + 5 - 5)?\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 226746*b**2 - 5 + 4 + 1 - 226744*b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4455)*-3 - (1*sqrt(1375) + sqrt(1375)))\/(3*(sqrt(1620) - 3*sqrt(1620))).\nAnswer: 37*sqrt(11)\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 - -1*2\/1. Suppose 5*u - b = 5*n, 2 + 4 = 3*u. Let j = -0.05 + 0.15. Which is smaller: n or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -16, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 146891+-1005.3127\nAnswer: 145885.6873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 645077 to the nearest integer?\nAnswer: 803","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from {o: 1, m: 2, v: 2, r: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1160, -0.11, -0.13.\nAnswer: -1160, -0.13, -0.11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2770440 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8134489.\nAnswer: 11, 19, 38921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 63588*h - 2 + 2 - 63021*h to k + g*h and give g.\nAnswer: 567","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 9*b**2 - 55*b - 59. Let x(t) = -4*t**2 + 27*t + 29. Let c(v) = -3*s(v) - 7*x(v). Let z be c(25). List the prime factors of -4 + 114 - (5 + z + -1).\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -281631.9\nAnswer: 1408159.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 7*h - 82. Suppose 19 = 2*p + 3*z, -p + z = 6*z + 8. What is the first derivative of h + 23 + 12 - p - 2*d wrt d?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -50*x**4 - 3*x**2 + 2*x + 107 wrt x.\nAnswer: -600*x**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6, c: 4, z: 2, j: 3, f: 2}. What is prob of sequence jzfc?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -8 - (4 + -6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3288*p + 3281*p - 56 = 0 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2142 times 0.041\nAnswer: 87.822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2750*(2 + -5 + -517). What is g rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3703 - -7255. List the prime factors of p.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -740*s = -782*s + 126 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3 + 0 = 0. Suppose 4*y + 6 = 22. Suppose 0 = g*u - y - 32. Calculate the smallest common multiple of u and 22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11.2 + -15.2. Which is smaller: 1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 11*(13 + -12)*(5 + -4). Let f(l) = 5*l**3 + 11*l**2 + 23*l + 3. Let y(c) = -2*c**3 - 4*c**2 - 8*c - 1. Determine o*y(a) + 4*f(a).\nAnswer: -2*a**3 + 4*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1040 (base 5) in base 15?\nAnswer: 9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 73754913 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 574\/11 - -8*2\/(-88). Let g = 87 - q. List the prime factors of g.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14327046?\nAnswer: 2, 3, 795947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 8*g**2 - g + 11. Suppose 0 = -5*y - 10, -c + 5*y = -0 - 14. Suppose -4*d = -4*f - 16, -c*d + 2*f = 3*f - 36. What is the units digit of u(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51002139?\nAnswer: 3, 17000713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 6*y**2 - 7*y + 5. Determine q(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1568?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1694149 a multiple of 1100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -277*g + 3530. Does 6 divide f(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1319 (base 11) to base 10.\nAnswer: -1714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1647460738?\nAnswer: 2, 7, 11, 193, 5039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2758*v**2 + 3214*v**2 - 2*v + 2*v - 5470*v**2 - 4.\nAnswer: 502*v**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01197228 rounded to five dps?\nAnswer: 0.01197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 35739773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -15916*z - 1909*z**2 - 1819*z**2 + 3730*z**2 + 31664882 = 0. What is z?\nAnswer: 3979","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -11*m**2 - 3*m. Let s(z) = z**2. Let b(r) = d(r) + 3*s(r). Find the second derivative of b(j) wrt j.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 104.9872 + -105. Round s to 3 decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -431430746 and -25.\nAnswer: -431430771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 142.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**2 + 8*v + 5. Let b(k) = -k**2 - 1. Let h(c) = 3*b(c) - r(c). Let u be h(-6). Let -1 + 0 - 2*j**2 + u*j - 1 = 0. Calculate j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-3*((sqrt(2) - (sqrt(2) + -1 + 5))*1)**2.\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q - 24. Let b be z(20). Put 0, -3, b in increasing order.\nAnswer: b, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -651*n + 105. Let g(a) = 25*a - 4. Let c(w) = 105*g(w) + 4*x(w). Let z be c(1). What is the units digit of (z\/(-9))\/(1\/(-3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20*(-36)\/(-840))\/(((-75)\/(-21))\/1).\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -79359 by -26453.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -76380132 by 4.\nAnswer: -19095033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -15*l - 72 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (132\/(-66))\/(-2 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 13 = 2*x. Suppose -3*v + 5*z = -108, 2*v + 4*z - 50 = -0*z. Let g = v - x. Does 8 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20787 - 20783. Solve l*u - 5*s - 5 = 12, 0 = -4*s - 4 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**3\/17 + 180*g**2\/17 + 1358*g\/17 = 0. Calculate g.\nAnswer: -7, 0, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + 13*a - 12. Let q = 126 + -109. What is the remainder when q is divided by u(11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a century in years?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.65 - -0.35. Let i = -22 - -17. Which is the closest to -2\/3? (a) n (b) i (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*q = 45. Suppose 3*n - 113 + q = -5*s, s + 3*n - 10 = 0. Suppose i + 4*y - s = 0, -4*i + 6*y + 46 = y. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (31*a + 7 - 27*a - 6*a**2 + 7*a**2)*(-a**2 - a**2 - a**2) in the form w + h*a**4 + r*a + l*a**2 + z*a**3 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -21325452992 take away 2.139?\nAnswer: -21325452994.139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -137922*j - 413779. What is k(-3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/2*(21 + 3). Suppose 6*y - 10*y = -r. Solve 1 = y*t - 5 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9985 + 10073. Calculate the remainder when 172 is divided by s.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 - 55. Let a = -2 - g. Calculate the highest common divisor of 26 and a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11657 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -60312 - -60311.99890812. Round u to five dps.\nAnswer: -0.00109","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -1\/7 (c) -323\/2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 636 a factor of 74771340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 5*y - 70, 3*k + 2*y - 4*y = -47. Suppose -68 = -9*q + 22. Let m be (-2)\/q - (154\/55 - -11). Which is greater: k or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.01, 2, 1\/6, -5, 15?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22599 at least as big as 22597?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**2*t**2*w**2 + 15081*f**2*t*w**2 + 4*f*t**2*w - 154*f + 2*w**2 wrt f?\nAnswer: 4*t**2*w**2 + 30162*t*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of 3*z**4\/16 - 7*z**3\/4 + 9*z**2\/4 + 1136. Factor j(t).\nAnswer: 3*t*(t - 6)*(t - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*6*(-7)\/(-210)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, e: 7}. Give prob of sequence wwee.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 8:29 AM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -1. Suppose 3*r + 28 = -11*r. Let i(a) = -2*a - 2. Give r*d(w) + i(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.039 - -3.039. Let w = s + -2. Which is the nearest to w? (a) 1\/4 (b) -1 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {y: 13, g: 3}.\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 - 7*f - 6. Let x(g) = -4*g**2 + g. Let n be x(-1). Let q be d(n). What is the derivative of 6*o**3 + 0 + q - 4*o**3 - 6 wrt o?\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5 - -4)*-181 - 3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -363 - -1806\/5. Let z = -78 + 536. Find the common denominator of y and z\/(-48) + 2\/(-6).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4\/7, 0, 1.5, -1\/22 in ascending order.\nAnswer: -1\/22, 0, 4\/7, 1, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 11\/(-55) - 32\/(-10). Let d(g) = -3*g**3 - 9*g**3 - 17*g**2 - 5*g + 7*g**j + 4*g**3 - 16. What is the units digit of d(-17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4601461 (base 7) to base 11\nAnswer: 360849","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 61694 and 58424.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11\/3 - (-4)\/(-6). Let k(d) = -4*d**3 - 1 + d**3 + 5*d**r - d**3 + d**2. Give k(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3 + 1480*m**2 - 37824*m.\nAnswer: 4*m*(m - 24)*(m + 394)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/25 of a milligram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27 + 72)*1\/3*(-2)\/2.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 - -130. What is the remainder when l is divided by 28?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -822 in increasing order.\nAnswer: -822, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 12 - 0. Let a be (-41 - 1)*r\/2. Suppose -32 = -3*p - i + 35, 3*p = 3*i + a. Is 11 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -6*m + 14*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -181497920 by -5671810.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a + 29. Let y be g(13). Sort -5, y, 0 in decreasing order.\nAnswer: y, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/(455\/20))\/((-6566)\/(-343))?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*s + 6*s - 5*s)*((-2 - 2 + 3)*(-3*s + 3*s - s) + 6*s - 6*s + 2*s + (4 - 3 - 3)*(6*s - 4*s - 4*s)) to n*s + m + c*s**2 and give c.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20883248 and 2160336.\nAnswer: 62649744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/4 in 1, 0.25, -1, 20751?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lr when two letters picked without replacement from {y: 1, l: 1, i: 4, v: 1, r: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 235030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 190, 2\/127, 0.5, 4, 0.2?\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*l = -42*l - 21. Suppose 39975 = l*r + 5796. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*sqrt(912))\/(sqrt(3) - sqrt(27)*6 - sqrt(3)) - (-3 + -1 + sqrt(57)\/sqrt(3) + 3))*-3)**2.\nAnswer: -38*sqrt(19) + 6940\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 15*w - 19. Calculate y(-13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000049928831 to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/141344 and -47\/12.\nAnswer: 424032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*(z*(z*(((z\/z**(1\/4))\/z)\/z)\/z)\/z)\/z*(z\/z**(9\/2))\/z assuming z is positive.\nAnswer: z**(-23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-1*5\/420)\/(((-305)\/854)\/(25\/60))\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/20 of a tonne?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 1. Suppose 5*z = 5*s + z + 10, 5*s + 5*z - 35 = 0. Calculate the remainder when 22 is divided by -1 + a\/(-1) + s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -2. Let w = 45 - 42. Suppose -5*f + w = 4*u, -f - f + 8 = 5*u. Put u, o, 0.5 in descending order.\nAnswer: u, 0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*u**2 - 2129755*u + 17037720 = 0. What is u?\nAnswer: 8, 425943","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4956 less than 4948?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2590061396 to the power of 1\/5, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 23*z + 63. Let s = 3 + -1. What is the remainder when v(-20) is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k**4 + 851936*k**3 + 4259612*k**2 + 6815344*k + 3407664 = 0.\nAnswer: -212979, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a gram in milligrams?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -7*x. Suppose -18 + 6 = -2*t - 4*r, x = -3*r + 9. Suppose a + 2*o = -2*a + 29, t = 4*o + 20. What are the prime factors of a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2937 + 452. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -20, -36, -46, -50, -48?\n\"Answer: 3*j**2 - 25*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6226000 rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -2. Let m be ((-33)\/12)\/(i\/8). Suppose -3*t = -4*t + m. Calculate the highest common factor of t and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 12 = -t, -4*b + 3*t = -231. Calculate the remainder when b is divided by (640\/200)\/((-2)\/(-20)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in 3\/2, 2\/19, 35?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p + p**2 + 6 - 4*p + 0*p**2. Suppose -5*z - r + 0 + 14 = 0, -5*z = -r - 16. Let u be s(z). Sort -5, -3, u in ascending order.\nAnswer: -5, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001701 rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/20 (b) -1 (c) -2\/11 (d) 0.3 (e) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3462*g + 7470*g - 10929*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22582 - 22582.000015643. What is x rounded to 6 decimal places?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oy when two letters picked without replacement from ooyooyooo?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 199 and -1.56.\nAnswer: 197.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.3004589ml?\nAnswer: 0.0003004589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 304320 (base 5) to base 12\nAnswer: 5920","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1085\/6?\nAnswer: 1085\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 113670 divided by 27?\nAnswer: 4210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1))**(-48)*(c**(-2\/5))**(-2\/35) assuming c is positive.\nAnswer: c**(8404\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208*y + 54*y - 49*y + 2130 = 0 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12.64 + -12.14. Sort 2\/9, 0.01, c, -8\/3 in decreasing order.\nAnswer: c, 2\/9, 0.01, -8\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 2. Let y = -17298 + 27889. Suppose y = 2*i + 3*i - z, p = -4*z + 16. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -316323.50483 - -1.50483. Let u = j - -316322.0999964. Let p = 0.1 - u. Round p to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of o**3\/3 - 5*o**2\/2 + 18*o. Calculate j(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 14) to base 2\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 3*a - a)*(-3*a**4 - 4*a**4 + 3*a**4) + (-3*a**3 - a**3 + a**3)*(-2*a**2 + 4*a**2 - a**2).\nAnswer: 17*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5740 is divided by 1143.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 2, -10, -64\/17 in ascending order.\nAnswer: -10, -64\/17, -2\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1267805?\nAnswer: 5, 7, 11, 37, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 1311 divide 477496353?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 103 - 101. Let z(l) = -11*l**2 + 10. Let k be z(i). Which is smaller: k or -33?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1877, -3748, -5633, -7538, -9469, -11432, -13433?\nAnswer: -15478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*i = -19*i - 50. Suppose -5*q + 1 = 3*j - 14, -5*j - i = 0. What is the second derivative of -8*g + q*g - 4*g - 16*g**5 + 0*g wrt g?\nAnswer: -320*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (312 - 0) + -1 + (20 - 23).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -195 + 179. Let w = 1597.55037 - 1581.55. Let k = g + w. Round k to 5 dps.\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zw when two letters picked without replacement from {q: 7, z: 5, w: 3, k: 1}.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 4:54 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*l - 0. Let v = 38 + l. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -64*y + 31*y - 23 + 31*y + 18 to the form b + k*y and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1063b (base 12) to base 8\nAnswer: 52217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.6 + -1.9. Let c = 12.93 - 13. Sort 0.2, t, c in descending order.\nAnswer: 0.2, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1*4*((sqrt(847) - (sqrt(847) - (-4 + sqrt(847)*-2))**2) + sqrt(847))*4.\nAnswer: -122224 - 3872*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3212098 is divided by 66.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2745761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16557\/602 - 1\/301. Calculate the common denominator of -6 - (-36)\/(-32) - 1 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14 - 19 + 0*f**4 - f**4 + (0*f**2 - 4*f**2 + 2*f**2)*(4*f**2 - f**2 - f**2) + 3*f**4 - 6*f**4 + f**4 + 2*f**4 - 6*f**4 + 2*f**4 + f**4 + 0*f**4 + f**4.\nAnswer: -7*f**4 - 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 3 - 3888*j**2 - 6683*j**2.\nAnswer: -10571*j**2 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - -1613482885.\nAnswer: 1613482885.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l\/l**5)\/l)\/(l\/l**(-4\/5))*l**(-6)\/(l*l**0\/l))\/((l**(-2\/15)*l)\/l**(-8)*(l*l**7*l)\/(l*l**7)) assuming l is positive.\nAnswer: l**(-65\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -2, 577\/5 in increasing order.\nAnswer: -2, 3\/2, 577\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j - 7. Let x(l) = -10 - 2*l + 3*l + 18. Let a(z) = -4*w(z) - 3*x(z). Give a(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -58*u**6\/15 + 65*u**3\/6 - u**2 - 19*u + 2. Find the second derivative of s(t) wrt t.\nAnswer: -1392*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in -3307\/6, 7\/5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/180*(-23)\/46.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q - 50 + 215 = 0. Let t = -8 - -8. Let a(i) = -i**2 - 7*i - 1. Let p be a(-6). Solve q = -p*g - t*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 j when four letters picked without replacement from {e: 6, j: 5, b: 2}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -756?\nAnswer: -754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*y - 3 + 13 - 12*y - 48*y in the form m + n*y and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/12 - (-847)\/(-605)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*i*q**4*x + 2739*i*q**3*x**3 - i*q*x**3 + i*q*x**2 + 470*q*x**3 - 10*q wrt q?\nAnswer: 216*i*q**2*x + 16434*i*q*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 3*o - 48. Suppose -4*s - n = -3*s - o, -5*n - 5 = 0. Suppose s = w - 6*w, 2*w + 54 = 4*k. Calculate the lowest common multiple of 10 and k.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 58*(-3 + -1*(-16)\/4). Suppose -45 = 63*c - p*c. Let x = 97 + c. What are the prime factors of x?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7877*d**3*i**3 + 92*d**3 - 47*d**2*i**3 + d*i**2 + 29*d*i - 2*i**3 + 5*i wrt i?\nAnswer: 47262*d**3 - 282*d**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l = 6*l + 861. Let j = -553 + 557. What is the smallest common multiple of l and j?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1960836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1 (b) 2\/17 (c) -31201\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5363642 + -3012843. Let d = 349201 + h. What is d rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**5 + 46*d**4 - 72*d**3 - 584*d**2 - 160*d + 768 = 0?\nAnswer: -24, -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -4020800 and -4020805 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50930, 101839, 152744, 203645, 254542?\nAnswer: 305435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 + 45. Let c(q) = 6*q + 7. Let x(m) = 2. Let w(y) = 2*c(y) - 6*x(y). Let n(i) = i. Let z(l) = u*n(l) - 2*w(l). Give z(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 69 = 4*i - 4*t + 167 - 75, 67 = -26*i + 5*t for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.5 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 75 + -23. Let i = u - 48. Solve -a + 10*a**3 - i*a**2 + 3*a**2 - 11*a**3 + 3*a**2 = 0 for a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 9 - (-3 + 2) - 3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -500*o = -502*o - 2*y - 14, 557 = -5*o - 179*y for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -77*t - 36 - 10 + 78 + 2*t**2 - 28 - 111*t to f + m*t**2 + p*t and give p.\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y - 9. Let d be z(-4). Let g be (-2)\/d - (-3626)\/35. What is the highest common divisor of g and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 3:14 AM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -257324 by 9.\nAnswer: -257324\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*q - 23 = 2*p, 5*q = 5*p + 45. Let v = 5872\/5 + -6196\/5. Let k = 65 + v. Which is the second smallest value? (a) -5 (b) p (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 921, -4, -155 in decreasing order.\nAnswer: 921, -4, -5, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3312.21*0.5\nAnswer: 1656.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 6*i = 4*a + 180, 3*a = -5*i + 411. Suppose -i = 47*p - 61*p. Solve p + 11 = 5*g - h, 5*h = g + 11 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)*-2*-3 - sqrt(33))\/sqrt(11).\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 13*w**2 - 9*w. Let t be j(-13). Let c be (-16)\/104 - 8\/t. Which is smaller: 0 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0 + 1975 + 16\/64*-28.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*k + 15*k**2 + k**3 - 21*k**2 + 0*k + 3*k**2 + 10*k**4 + 14*k as y*k**3 + d*k + n*k**4 + u + w*k**2 and give d.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n**4 + 163490*n**3 + 1339712805*n**2 + 53327248200*n = 0.\nAnswer: -16329, -40, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 - t. Let o be p(-2). Let q(l) = -43*l**2 + 123*l + 36. Calculate the lowest common multiple of 1 + 0 + (o - -34) and q(3).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 3357 = 612. Let j be p\/(-105) - 2\/(-7). List the prime factors of (j - 1)*(-56)\/(-16).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23525 + 29314 + 30265 = 2597*j for j.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5643)\/(-162))\/(-19)*4\/(-143)?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z - 9*z - 5*z - 7*z.\nAnswer: -20*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 755649 + 19?\nAnswer: 755665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of -3\/2*a**3 - 2*a**2 - 1\/60*a**5 + 0 + 7\/24*a**4 + 0*a. Is t(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + 2*r - 15328. Let z(x) = -x**3 - 6*x**2 + 5*x - 14. Let k be z(-7). Let l be y(k). Is (-2)\/6 + l\/(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -127.7 - -128.7. Which is the closest to k? (a) 0.25 (b) 0.2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102222011210 + 2?\nAnswer: 102222011212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, o: 2, e: 3, t: 1, a: 2, u: 2}. Give prob of picking 1 u and 2 o.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o**2 + o**2 + 3*o**2 - 2*o**2.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3990124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 289*d**3\/3 - 170*d**2 - 44*d - 8\/3 = 0. Calculate d.\nAnswer: -2\/17, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -395.09 + -6.91. Let u = 403 + y. What is the nearest to 0 in -4, 3, 5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 12*q**2 + 6*q + 45. Is b(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pqhqpupp. What is prob of sequence uqpq?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 140207?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -434, 36, -0.5, 4, 1\/4 in descending order.\nAnswer: 36, 4, 2\/5, 1\/4, -0.5, -434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1488 and 45291.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11442251 + -565?\nAnswer: 11441353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a - 1. Give r(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -450*v**3*w**3 + v**3*w + v*w**3 + 5*v*w**2 - v wrt v?\nAnswer: -2700*v*w**3 + 6*v*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/8 and (39\/(-2))\/((-30)\/(-18)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -522, 200 in descending order.\nAnswer: 200, -5, -522","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of 23*v**6\/6 - 8*v**2 + 31. Find the second derivative of p(n) wrt n.\nAnswer: 460*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 757746 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 7*z**2 - 2*z + 17. Let k be h(7). Solve 0 = -3*a - 3*d, 7*d - 2*d = -k*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3393 and 1548339.\nAnswer: 1131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 1 - 3 + (2 - 4 + 1)*(-2 + 2 + 1) - 12 - 1 + 4)*(-2*j + 0*j + 0 - 18) as t + c*j and give c.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -40a6363 + 1?\nAnswer: -40a6362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 6*c**2 - 9*c. Suppose 30 = 5*q + 7*p - 2*p, 24 = 4*q + 3*p. Let z be k(q). Let g = 9 - -9. Calculate the highest common factor of g and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*d = 28, 3*w = -0*w - 2*d + 4. Solve -26 + 6 = -w*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**2 + 2*i - 2*i + (-3 + 3 - 2*i)*(0*i + i - 2*i) + 2*i**2 + 0*i**2 - i**2.\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 2.012, 28, 0.72?\nAnswer: 0.72","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 164 and 287?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (sqrt(104)\/sqrt(8))**2) + 1 + -4.\nAnswer: -16 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y - 10. Suppose 0 = -3*k + 3 + 15. Let x(n) = 6*n + 2*n - k*n. Give u(x(v)).\nAnswer: -4*v - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 9:04 PM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3\/1)\/(-6))\/((-72)\/(-576))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(77) + (-1*sqrt(77) - sqrt(77)) - sqrt(77)))\/(sqrt(33)\/sqrt(12)).\nAnswer: -8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001824984 rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106382 is divided by 357?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 2:13 PM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2985 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*m - 28*m - 20*m = 231 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35090 and 3770?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5012858?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -13*(0 + (1 - 2)). Let z = j - 15. Let r(u) = u**2 + u - 2. Let q be r(z). Solve q = 5*n + i - 5, n + 7 = 5*i - 18 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 24839.93 millimeters?\nAnswer: 24839930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -1008*o**3 + 28*o**2 - 4*o + 985. Let r(p) = -1007*p**3 + 35*p**2 - 5*p + 984. Let q(s) = 5*c(s) - 4*r(s). Differentiate q(a) with respect to a.\nAnswer: -3036*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.673 + -0.473. What is the third smallest value in d, -5, 4, 0.063?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 69*o - 26. Is a(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.16 and 4427?\nAnswer: 4427.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/7 - 355034088*f\/7 + 31512300910497936\/7.\nAnswer: (f - 177517044)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5*p - 145 = -c, 0 = 4*c + 5*p - 305. Let d = 82 - c. Suppose 2*n - 104 = -2*a, 4*a - d*n - 208 = n. Does 13 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of r**3\/6 - r**2 - 4*r. Let h be i(4). Factor 1\/2*t**h + 1\/2*t - 1\/2*t**3 - 1\/2.\nAnswer: -(t - 1)**2*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/2125 and 19\/94520?\nAnswer: 2363000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2316 - 2321. Let p = -0.35 - -3.15. Let t = -3.1 + p. Which is the fourth biggest value? (a) t (b) -1\/2 (c) -4 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a gram in milligrams?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*a**2*g*h**2*j - a**2*h**2*j - 700*a**2*j - 587*g*h**2 - 7*h**2*j wrt g.\nAnswer: -3*a**2*h**2*j - 587*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of w**7\/42 - 7*w**6\/6 + 13*w**5\/3 + 35*w**2 - 2*w + 6. Solve l(c) = 0 for c.\nAnswer: 0, 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201*a - 74*a + 264*a.\nAnswer: -11*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/3 + 1492*i\/3 - 497.\nAnswer: -(i - 1491)*(i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 11.14579um?\nAnswer: 11145.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 119157 to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -205.6, -1\/3, -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 0 + sqrt(1872) + sqrt(1872) + sqrt(1872) + sqrt(1872) - sqrt(1872)*2*-4) + (2 + sqrt(1872) + sqrt(1872) + sqrt(1872))*-2*2)**2.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 - 2*a**2 + 2*a**2)*(-30 - 5*a + 30) + 58*a**3 - 30*a**3 + 69*a**3.\nAnswer: 102*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -5, -0.2, -5\/7, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 12. Let t be (4\/s)\/((-2)\/24). Let p = 17 - t. Does 9 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 2)*(0*r + 2*r + 3*r)*(2*r + 0*r - 4*r).\nAnswer: -20*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of r**7\/2520 - 23*r**6\/2160 - r**5\/45 + r**4\/12 - 3*r**2\/2 - 30*r - 1. Let a(l) be the third derivative of t(l). Factor a(w).\nAnswer: (w - 8)*(3*w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -613*u**2\/3 + 1230*u - 24.\nAnswer: -(u - 6)*(613*u - 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 5*k**2 + 7*k - 6. Let y be -1 - 0 - (-7 - 4). Let q be l(y). Is 19 a factor of 3\/9 - q\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1482959\/3 equal to 494319?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*f - 31*f + 3 - 18*f - 22*f.\nAnswer: -64*f + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*(9\/4)\/9*-4. Suppose -3*t - 5 = -3*c - 20, 4*c + 16 = 2*t. Solve -j*n + 4 = -t for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*-3 + 1 + (0 - 3). Which is the biggest value? (a) i (b) 0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -1. Let g(a) = -a + 23. Let h(j) = -5*f(j) - g(j). Let l(c) = 9*c**3 - 3*c**2 + 5*c - 2. Let o be l(1). Calculate h(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-1*(-2)\/(-6)). Let p be (-1 - 5)*m\/9. Let o = 23 - p. List the prime factors of o.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 5*r**2 - 6*r - 2. Let u be n(-4). Let m = -31 + 47. Suppose 0 = -4*g + 8 + m. Calculate the highest common factor of u and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -265*q**3 - 4 + 2*q + 5 - q. Is h(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -107, 130, -5, 817, 3 in decreasing order.\nAnswer: 817, 130, 3, -5, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6637 is divided by 5812?\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1152))\/sqrt(9) + (3*(sqrt(2) + 0) - (sqrt(162)*1 + sqrt(162))).\nAnswer: -7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/((3*-2)\/3). Let j be 1 + 8\/(-6) - i. Which is smaller: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6969093 rounded to the nearest 10000?\nAnswer: 6970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -0.44, -4?\nAnswer: -0.44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62, 129, 196, 263?\nAnswer: 330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y + 600 = 3*y. Let v = -86 - y. Which is bigger: 65 or v?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3877727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1393323863?\nAnswer: 6833, 203911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3092 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 292 and 1314?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3*i = 108, 6 = -5*i + 1. Suppose -2*r + 4*r - 15 = -5*o, 0 = -2*o - 2*r + 6. Calculate the greatest common divisor of b and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1153\/10 + 115. Which is the closest to 3? (a) o (b) 1\/2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(-9))\/(-1)*-12*138. Suppose 0 = -9*c + u - 787. Let y = 171 + c. What are the prime factors of y?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11751 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 78 in 4.3, 0.1, -12?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 656*n = 415*n - 723 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 3868d?\nAnswer: -38694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -9. Let o(n) = u*n - 5 + 0 - 10*n - 2. Let i(g) = g - 8. Give -4*i(m) + 5*o(m).\nAnswer: m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 215 divided by -47.\nAnswer: -215\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9108 and 2035.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 253382589?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {p: 4, x: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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: -10 + 18 + (4 - (4 + 9))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of r**8\/10080 + r**7\/1260 - r**5\/60 + r**2. Let n(t) be the third derivative of g(t). Factor n(o).\nAnswer: 2*o*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*t + z, -4*t + 7*z + 50 = 10*z. Let v(a) = 4*a**3 - 19*a**2 + 71. Is v(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16881?\nAnswer: 3, 17, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 35 - 2 - (2104 - 2122).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 526092129702.6 from 4.\nAnswer: -526092129698.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 5) in base 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 55522994 and 0.1.\nAnswer: 5552299.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1047 + 1047. Let k(g) be the second derivative of 4\/3*g**3 - 1\/2*g**2 + t + 13*g. Find the first derivative of k(p) wrt p.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d - 18 - 23 + 41.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.039, 0.6, -11?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1298 - -202801.5?\nAnswer: 204099.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + 2 + (-36)\/(-2)*18. Let i = 323 - g. Solve i = -6*q + 10*q - 8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 53*b**5 + 1026*b - 5275559 + 5275559 wrt b.\nAnswer: 1060*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*a**2 - 16*a**2 + 55*a**2 - 11*a**2 - 16*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/309 and 107\/66.\nAnswer: 6798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -81 by -87598.\nAnswer: 81\/87598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 130 = -15. Round q to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 193317035?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 1687866272*n + 1 + 2 + 1687866274*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**(-3)*(w**(-2\/3)\/w)\/w assuming w is positive.\nAnswer: w**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 2394.\nAnswer: 19152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -4*x - 4*v + 65, 4*v = -5*x + 70. Suppose x = 2*g + 2. Let s = 0 + 0.3. Which is the third smallest value? (a) s (b) 3\/7 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*a**3*l**2 - 70*a**3 + 11*a**2*l**2 + l + 1 wrt l?\nAnswer: 4*a**3*l + 22*a**2*l + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, 1\/2, -35\/4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 14 = -6. Let w(t) = t**2 - 3*t + 3. Let q be w(0). What is the second derivative of d*n**3 + q*n + n**3 - n**3 + n**3 wrt n?\nAnswer: 30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 755080.4 kilograms?\nAnswer: 755080400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -577 - -584. What is the fourth biggest value in -2\/7, u, -5, 2\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96694 is divided by 13808?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3217712242 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of x**5\/20 - 5*x**4\/12 - x**3\/6 - 3*x**2 - x. Is p(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + (-30 - -6) + -12?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -34046?\nAnswer: 5\/34046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**3 + 4*s**3 - 9*s**3.\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-70)\/28)\/((-60)\/(-552))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - (23 - 53)) + (-3 + 1 - 4).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3 or 2\/49?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 512930 and 1.\nAnswer: 512931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3305.3 - -3303.7. What is the fifth smallest value in 1\/8, 0, 23, -1, g?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 289 = 2*d - 123. Is d a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/4, -2\/69, 2, -4.9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-56)\/35 - (-2)\/(-5). Let z(x) = -390047*x**2 - 2*x - 2. Let s be z(k). Let p = -1010186 - s. What is p rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 26 = 4*d. Is d a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kpbpprppphy. Give prob of picking 1 b, 1 k, and 1 p.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1218213 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/(-1665)*80\/24)\/(5\/(50\/(-20)))?\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/12)\/(((-50)\/(-250))\/((-52)\/10)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/45 and 43\/27.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 33\/(-6) + 6 + 14\/(-16). Let v = -2 - -1.9. Which is the smallest value? (a) -2\/7 (b) s (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 71?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 8*f**2 + 4*f + 22. Suppose 0 - 21 = -3*y. Let h be v(y). Let n be ((-2)\/28)\/((-1)\/4). Which is the nearest to 0.1? (a) -0.1 (b) n (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q - 8*q - 12*q**3 - 170*q**3 + 2*q + 14*q - 4*q.\nAnswer: -182*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9544334897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**3 - 7*n**2 - n - 2. Let k(g) = -2*g**2 + 8*g - 2. Let i be k(3). Let m be c(i). What is the common denominator of 35\/6 and ((-83)\/5)\/(4\/m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**2 - 14*o + 3. Give x(4).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, x: 3, g: 3, v: 6}. What is prob of picking 2 e and 1 v?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 2*k**2 - 4*k - 5. Let j be a(-2). Suppose -19 = -2*d - l, d = j*l + 7 + 6. Does 9 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14*(-291)\/5432*92\/6?\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 264 and 4212219?\nAnswer: 33697752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2 - 34 = 0. Find m, given that w*m**4 + 9*m**5 - 103884*m**2 + 3*m**3 + 103884*m**2 = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.6, 319, -4, -102\/5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of -4*g + 2 + 1\/3*g**3 - 1\/2*g**2. Suppose f - 7 = -2*u, f + 2 = -f + 4*u. Calculate b(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 7:13 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 25.98 and 204.\nAnswer: 5299.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {i: 4, s: 10}?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -30, -120, -298, -594, -1038?\nAnswer: -1660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = a + 1. Suppose 0 = 4*q - 3*q - 10. Suppose b - 18 = -q. Which is smaller: b or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2*q + 6, 2*q = 2*s - 3*s + 6. Solve 16*j - 14*j + 6 = s for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 3*g - 51, 4*g - 70 = -5*i - 14. What is the remainder when 23 is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-340)\/35 - 2\/7. Calculate the remainder when ((-1050)\/(-9))\/(p\/(-30)) is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 2) to base 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -94 - -57. Let c = f - -32. Let x(v) = -v**2 - 5*v - 4. Determine x(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.45 + -0.05. Let i = 1.5 - v. Which is the second smallest value? (a) i (b) 0.3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52978 (base 10) to base 13\nAnswer: 1b163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21.975 - -22. Let k = 480 - 491.475. Let o = h - k. What is o rounded to 0 decimal places?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -3, 33*f - 30*f + 561 = 4*j. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ytvtykni. What is prob of picking 1 k, 1 t, and 1 n?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 + 10)*(9\/3 + (-14)\/10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 243, 849, 1859, 3273, 5091?\n\"Answer: 202*m**2 + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 3*o + 48 = -o, -1146*u = -1141*u + 10*o + 80 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*b + 19000*b**3 - 18999*b**3 - 30*b.\nAnswer: b**3 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of 3*o**6\/2 + 12*o**5\/5 - 6*o**4 - 6*o**3 + 15*o**2\/2 + 6*o - 14. Suppose r(i) = 0. What is i?\nAnswer: -2, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that v**4\/3 - 52*v**3\/3 + 545*v**2\/3 - 494*v\/3 = 0.\nAnswer: 0, 1, 13, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2621971*n**2 + n + 5380608 wrt n.\nAnswer: -5243942*n + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6440122, -6440126, -6440130, -6440134, -6440138?\nAnswer: -6440142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13676 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2 - n.\nAnswer: n*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h - 3. Determine j(-9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -535 and -7.\nAnswer: -542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25.78 + -26. Let z = u + -5.78. What is the smallest value in 0.4, z, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 times 110593577?\nAnswer: -77415503.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z\/((z*z*(z**(5\/7)*z)\/z)\/z)))\/z)\/z)\/(z\/(z**(2\/9)*z)) assuming z is positive.\nAnswer: z**(-4\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4\/5, 49, 19?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + 2 - -5 - -1. What is the highest common divisor of p and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 3416506?\nAnswer: 3416502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -14. Suppose r = 4*m - 8*m. What is the derivative of 5*i**4 + m + 5 + 9*i - 9*i wrt i?\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*b**2 + 2*b**3 + 3*b**2 + (0 - b**3 + 0)*(-4 + 6 + 1))*(355 + 4 - 184) to u*b + s*b**2 + m + w*b**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -195346\/5 - -39070. Find d such that 3\/5*d**2 - q - 4\/5*d = 0.\nAnswer: -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -973 divided by -3?\nAnswer: 973\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 4:07 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 8) to base 6.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1158 and 6.\nAnswer: 1158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 71*t**4 - 89*t**4 + 26*t + 154*t**4 - 75*t in the form o*t**3 + w*t + u*t**4 + c + x*t**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 488 and 61244.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7829.898 micrograms?\nAnswer: 0.007829898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1451569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/(-5) + 70\/(-175)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 42476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of -o**5\/10 - 23*o**4\/6 - 5*o**3 - 154*o**2. Let a be k(-15). Solve 3*i + 7 = -4*u - 2, 5*i - u - 8 = a for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, b: 4, w: 1, e: 1}. Give prob of sequence bbbb.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzt. Give prob of picking 1 t and 1 z.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 511, 323, 9, -431, -997?\nAnswer: -1689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 t when three letters picked without replacement from {t: 1, i: 1, b: 2, o: 2, y: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -11.434 (b) -2\/41 (c) 0.3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-6))\/((-20)\/(-30)). Let t(h) = h - 1. Let j(m) = -3. Give l*j(g) + 3*t(g).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8262 and 318.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13009861?\nAnswer: 2053, 6337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3.6, 0.4, 23?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -45*x - 262. Let m be j(-8). Let g = 340 - m. Is g a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n + 9. Let p be o(7). Solve 0*c - 2*c + p*i - 12 = 0, -3*c + 2 = 2*i for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y - 5. Let j(h) = -2*h - 3. Let g(u) = 3*f(u) - 5*j(u). Let q be g(-5). Let b be (2 - -3)*(-2)\/q. Solve -5*z = -n + 13, z + 5*n - 17 = b*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/38555168 and -8\/22733.\nAnswer: 38555168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16767 is divided by 141.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 9*s + 69. What are the prime factors of g(20)?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 49*s**2 - 297343900*s + 451088749322500.\nAnswer: (7*s - 21238850)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 290870?\nAnswer: 1163480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 151 in 5, -72, -5, 1, -2\/15, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2808574?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9873629 or -9873630?\nAnswer: -9873630","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 3*b**4 - 447*b**3 + 1755*b**2 - 2181*b + 870 = 0.\nAnswer: 1, 2, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 76092362 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -87 + 64. Which is smaller: c or -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1045 by -7.\nAnswer: 1045\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -5*n**2. Let f(j) be the third derivative of -91*j**5\/30 - 931*j**2. Calculate r(f(k)).\nAnswer: -165620*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-2*3\/(-3))\/(56\/(-21))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2, -4\/7, 68, 1?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 11*b**2 + 2*b + 73. Let v(h) = -10*h**2 - 2*h - 70. Determine -5*k(t) - 6*v(t).\nAnswer: 5*t**2 + 2*t + 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**2 + i**3 + 3*i**2)*(2*i**2 + 3*i**2 - 3*i**2) + 0*i**5 + 0*i**5 + i**5.\nAnswer: 3*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*x - 92*x - 3*x**2 + 184*x.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -2210?\nAnswer: -2212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/(-3))\/((-9)\/135))\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of 1325*j**6\/6 - 1567*j**2\/2 + 368. What is the second derivative of x(w) wrt w?\nAnswer: 26500*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -23, 113 in ascending order.\nAnswer: -23, 13, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 39*o + 120. What is s(-41)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 11*d**2 - 26*d + 7. Let b be i(-13). Let w(q) = -q**3 + 7*q**2 + 6. Calculate the remainder when 27 is divided by w(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 3*v - 51. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-3 + 3) - (24 - 20)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9004, -17313, -25622, -33931, -42240, -50549?\nAnswer: -58858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*r = -127 - 367 for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4 + (0 + 2 + sqrt(931)*-2*-3 + 1*sqrt(931)*-2)**2).\nAnswer: 560*sqrt(19) + 74520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -713880 rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1082*w - 2186*w + 1060*w = 1364 for w.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -f**5\/200 + 151*f**4\/120 - 385*f**3\/4 + 1125*f**2\/4 + 9213*f. Find d such that w(d) = 0.\nAnswer: 1, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.124 + -1.124. Does t = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193 - 87 = 35*k for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/364*(-8541)\/(-146)\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 8 = 2*g, 0 = 3*b + 5*g - g - 16 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 249 + -244. Suppose 2*n - 4*g + 13 = 3*n, 0 = -2*n - u*g + 32. Calculate the least common multiple of 2 and n.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 5*q + 6. Let b(a) be the third derivative of a**5\/60 - 5*a**4\/24 - 7*a**3\/6 + 3*a**2 - 7*a. Calculate -6*b(p) - 7*w(p).\nAnswer: p**2 - 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 - 16. Let q = -8 + v. Let o = 5 - q. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 236881.\nAnswer: 236881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 18)*(-1 - 0). Suppose -i = -p - 7. Let w = 26 - p. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6c - -37a54?\nAnswer: 379b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -18*r**3 - 27*r**2 + 103*r - 106. Give l(2).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 f when two letters picked without replacement from {a: 3, p: 3, f: 1, x: 1, j: 5, e: 1}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 - 2*f + 20. What is the remainder when b(6) is divided by 26?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 1632 = 3*k + 19, -2*k - 4*l + 1076 = 0. Let a = 1183 - k. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/1*9744\/(-203)*2\/(-15).\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 8 + 16 = 0. Put 0, 1, w in increasing order.\nAnswer: w, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-3) + 4\/6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -8. Let a(m) = m**2 - 4*m - 3. What is the units digit of a(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-12)*(-1 - -9). What is the third derivative of 11*t**4 - 5*t**4 + 9*t**s - 15*t**2 wrt t?\nAnswer: 360*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of r**4\/12 - r**3\/6 - 93*r. Let x(t) = 2*t**2. What is x(a(z))?\nAnswer: 2*z**4 - 4*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 u when three letters picked without replacement from jxuhqjmuhjqu.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -5, 4, 17, 34, 55, 80?\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a (base 16) in base 10?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - 11*n - 2. Calculate k(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 35*s**2 - 25*s + 411. Let q be l(-34). Is q greater than or equal to 84?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/49696 and -89\/6348664.\nAnswer: 25394656","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39)\/13*4\/(-30)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in -9, 11, -1\/8, -0.06, 1\/9, -3?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35 - 107\/3. Which is the third smallest value? (a) -5 (b) n (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103003 (base 4) to base 6\nAnswer: -5351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(1\/(-12)*3). Let u(h) = -h + 10. What is the least common multiple of u(w) and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -76847.116 + 76704. Let s = x - -143. Round s to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k. Let j(n) = 1627*n**2. Calculate d(j(h)).\nAnswer: -1627*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*0\/(-2) + (3 - 3). Suppose v = -7*f + 14. Suppose 0 = 3*m - 3*x - 18, -f*m = -x - 3*x - 8. Does 4 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 (base 13) in base 8?\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 l when two letters picked without replacement from ylvmgyvmymvmgmw?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 10. Solve 4 = -q*n + 14 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-21))\/(13*(-28)\/1092)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(-2))\/(1\/(-12)). Suppose s = -3*p, 19*p = s + 21*p - 1. Factor -6*a**4 + 3*a**5 + q*a**2 - s*a**3 - 1150*a + 1150*a.\nAnswer: 3*a**2*(a - 2)*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1812 divided by -6.\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -j - 12. Solve j*y = -y - 20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -112 (base 7) to base 3\nAnswer: -2011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 34 - 9 = -a, 0 = -a + n + 23. Let k = 20 - a. Suppose k*l - 2312 = -6*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = 5*l - 235. Let j(i) = -i**2 - 8*i + 31. Let g be j(-10). What is the highest common factor of l and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20913?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -1\/6*x**4 + 0 + 1\/6*x**3 + 3\/2*x**2 - 40*x + 11\/2*x**5. Is l(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -2*l**5\/15 + l**3 - 3*l**2\/2 - 7. Let k(v) be the second derivative of a(v). What is the first derivative of k(m) wrt m?\nAnswer: -16*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 4 = -4*b. Let -2*i**3 - 3*i**2 + 10*i - 3 + 4*i**3 - b - 5*i**2 = 0. What is i?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8917 smaller than -8916?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1546*c**6 + 35*c**2 + 6*c wrt c.\nAnswer: 185520*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 - -49. Suppose -5*g + 2*h - 10 = -j, -20 = -2*g - 3*h. Let l = 28 - g. Does 15 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + z**2 - 2*z - 27. Give s(5).\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**2 + 55*v + 281. What is a(-6)?\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 12 = -12*c, 5*k = -2*c - 829 + 896 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*u - 42*u - 48*u - 826 = 68*u for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from errbrersrnbmbree. Give prob of picking 2 r.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2312251, 4624488, 6936725, 9248962, 11561199, 13873436?\n\"Answer: 2312237*r + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 346 a factor of 828073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 335, -785, -1905, -3025?\nAnswer: -4145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of 37*t**5\/20 + t**4\/12 + t**3\/3 - t**2\/2 - 4*t. Is v(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -189 - -5. Let v = -158 - s. What is the remainder when 285 is divided by v?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*4\/92 - 3660\/(-230). Suppose 0 = 2*t, 7 = 5*j + 4*t - 33. Factor -f - 10 - 2*k**3 + 44 - 10 - 2*k**2 + j*k.\nAnswer: -2*(k - 2)*(k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -345 - 3079*v + 115 + 112 - 1956*v + 123. Let s(a) = a**2 - 4*a + 3. Let i be s(4). Let u be p(i). What is u rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 75*g**3*q*s - 11*g**3 - g**2*s + 4*g*q*s + 64*q wrt s.\nAnswer: 75*g**3*q - g**2 + 4*g*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10799966?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42803\/11166)\/((-1)\/(-12))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = 23 - 311. Does 12 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 858 = -860 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -218 + 129aa?\nAnswer: 12792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 26655098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-8) + (-31173)\/(-6) - -1. Suppose -13*c + r = -3383. What is the greatest common divisor of 60 and c?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2 (b) -3 (c) -2\/5 (d) 302 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 5*z**2 + 6*z + 7. Let r be y(-5). Calculate the highest common divisor of r and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 4*i - 4*t + 6, 4*t = i + 12. Let p(k) = -k**2 - 10*k - 6. Let m be p(i). What is the units digit of (32\/40)\/(4\/m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 136 = -q - 2*q, 0 = -5*q - 5*l + 260. Suppose 7 = 3*f + 2*t, 8*f - 9*f + 4*t = 7. Sort -1, f, q.\nAnswer: -1, f, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15 + 35761?\nAnswer: 35776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) - (0 + sqrt(539)))**2 - (sqrt(55)\/sqrt(5) + -4).\nAnswer: -sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l - 14. Determine r(14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29200 = 2838*f - 3568*f for f.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/1 - (1 - 4). Suppose -36 = -l*s - 0*s. Is s a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, f: 5}. Give prob of sequence fggf.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5941338, -11882674, -17824008, -23765340, -29706670?\nAnswer: -35647998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -364*g - 3*u - 1957 = 3148, g = 2*g - 3*u + 5 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((78\/234)\/((-2)\/12))\/(9\/189)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19372 divided by 2.\nAnswer: 9686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -287 and -19585\/68 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37037616 by 80168.\nAnswer: -462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*b + 246 = -18*b + 31*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 177 by -59.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (74\/962)\/(1\/2).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -247 - -251. Let a = 46 - 27. Suppose 11 = -f*r + a. Calculate the smallest common multiple of r and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1128 or 1134?\nAnswer: 1128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000501718 rounded to 5 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0\/6)\/((-3)\/1). What is the second biggest value in -5, 4.1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g + 40. Is v(15) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10.44 less than -1.039403?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 444 - -1?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0 = 2. Let k = i - -7. What is the least common multiple of 8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 26, 58, 104, 164?\nAnswer: 238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.8 + -2.2. Let q = 26478.7 + -26479. Which is the nearest to 1? (a) q (b) 1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and -449920415.9.\nAnswer: -449920419.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -5 - 7. Suppose -12 = -3*b + n. What is the third derivative of -1 - b*x**5 - 2*x**2 - 4*x**2 + 1 wrt x?\nAnswer: -360*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49078648 by 39772.\nAnswer: -1234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 3*n**2 - 1993*n - 13779. What is f(-7)?\nAnswer: -318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 8*h**3 - 5*h**2 - 7*h + 5. Let i(d) = -4*d**3 + 3*d**2 + 4*d - 3. What is -10*i(t) - 6*w(t)?\nAnswer: -8*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1611174, 1611144, 1611114, 1611084, 1611054?\nAnswer: 1611024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -1 - l + 0*l - 2*l + 0. Let m(b) = -b**3 - 2*b. Let f(z) = -2*i(z) + 3*m(z). What is the first derivative of f(o) wrt o?\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -5*r + 1953. Determine n(-79).\nAnswer: 2348","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 543 a factor of 2811448203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 148007033 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10244*l**4 + 238*l**4 - 506*l + 3115*l + 3956*l wrt l?\nAnswer: -120072*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 184 - 97. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a milligram in micrograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and ((-3)\/5)\/(2\/(-20))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1290, 4, -1.127, 2, -5 in decreasing order.\nAnswer: 1290, 4, 2, -1.127, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 17272 (base 9) in base 3?\nAnswer: 121022102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -789 - -747 - (-424)\/10?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 4*x = -4*a + 6700, -3330 = -x + 3*a. Suppose x = 6*j - 0*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -1) + 138 + -139 + 8 + 0?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/6 and -18\/419.\nAnswer: 2514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-15)\/24)\/(2\/(-16)) and 136.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40014 and 28215.\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1131 (base 4) in base 14?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.6 - 12.4. Let n = -8.4 - t. Let r = 150 + -1048\/7. What is the fourth smallest value in n, r, -2, -1\/2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b6 - -345?\nAnswer: 41b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-21)\/(-2))\/(6\/12). Suppose a + 2*a - 3*y - t = 0, -a - y - 1 = 0. What is the third derivative of 12*g**2 - 6*g**3 + g**3 - 3*g**a - 2*g**2 wrt g?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 4*s = 38, 5*p - s = -0*s + 28. Let d be (-4)\/p - 7\/3. Let g = d + 3. Which is greater: g or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-29)\/(-3) - (-2)\/(-3). Let h(j) = j**3 + 20*j**2 - 3*j + 3. Let t be h(-20). Calculate the greatest common divisor of c and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -34 + -5?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 63 + 5084 + -5148?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -1) + 11 - 4 - 13?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-6))\/(((-78)\/(-54))\/(-13)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**4 - 3*y**4 + 4*y**4 - 2*y - 5*y**3 + (145*y**3 - 104*y**2 + 104*y**2)*(y + 2 - 2).\nAnswer: 146*y**4 - 5*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.6 - -0.7. Which is bigger: -1\/8 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/136032173 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v\/v**(3\/2)))**(-26)*(v*v**(3\/4))**(2\/15) assuming v is positive.\nAnswer: v**(-1943\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53259, -106517, -159775, -213033, -266291, -319549?\nAnswer: -372807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20 in -6\/5, -3\/16, -91\/12?\nAnswer: -91\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l + 2 - 3 + 2 - 5. Let z be h(9). Suppose -5*u + 49 = z*q - 31, 6 = 3*u. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 5*a**2 + 8*a + 748. Let q(z) = 4*z**2 + 6*z + 744. Determine -3*g(l) + 4*q(l).\nAnswer: l**2 + 732","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 2905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8 - 162)\/(-4 + 2). Calculate the greatest common divisor of v and 119.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15078 rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3836 and 764460?\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17\/4 - -4. Suppose 0 = 5*y + 2 - 17. Let g(r) = r**2 - 3*r - 3. Let l be g(y). Which is the closest to -1? (a) 0 (b) l (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) 18\/7 (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 6782150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 680*z = 691*z - 66 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 3\/5*c - 3\/5*c**5 + 6\/5*c**4 + 0*c**3 - 6\/5*c**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -59*y**2. Let h(g) = -2*g + 1. Let k(x) = -11*x + 4. Let l(a) = 4*h(a) - k(a). Give v(l(p)).\nAnswer: -531*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 4*z - 63. Is 21 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -11. What is the nearest to -1 in 4\/5, r, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1875*w - 47570 = -2768*w + 16726 for w.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 3*n**2 + 315*n - 388. What are the prime factors of p(-39)?\nAnswer: 42083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43257764 divided by -3932524\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7489471 and -0.9.\nAnswer: -7489471.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 8*t**2. Let d be b(-8). Suppose 3*o + 5 = -2*o - 3*l, o + 1 = -l. Let p be 3\/((-6)\/4) + o. Sort p, d, -1 in decreasing order.\nAnswer: d, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57156 divided by -5\nAnswer: 57156\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4969 or -869574\/175?\nAnswer: -4969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*q, 0*s - 5*s = 5*q - 30. Suppose 6*r = s*r + 64. What is the remainder when 30 is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 6*m - 71. Determine k(12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34624?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 2 = -f. Let t(p) = -p**2 + 6*p - 2. Let m be t(f). Let g(d) = -28*d**3 + 62*d**3 - 7 - 6*d**2 - 6*d - 33*d**3. Give g(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15920 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156036 is divided by 9559.\nAnswer: 3092","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 122?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -132 + 142. Let o(y) = y**2 - 5*y - 2. What is the remainder when o(-8) is divided by 1 - 6\/m - 20648\/(-580)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 - -35. Let l be (-4)\/10*-1 - (-39)\/g. Suppose -l*h + 51 = 48. Sort -13, h, 0 in descending order.\nAnswer: h, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + 8*x + 21. Let y be p(10). Which is the closest to y? (a) 1 (b) 0.02 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -243 divided by 1620?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x\/(x*x*x**(1\/3)))\/x)\/(x\/x**(2\/5)))**(-34)*(x*(x\/x**(2\/15)*x)\/x*x)\/x**0*(x**(1\/3))**(10\/9) assuming x is positive.\nAnswer: x**(9311\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 + 10)\/(2\/2). Suppose -j*n + 4683 - 13139 = 0. Let v = n - -4773\/4. Find the common denominator of v and -11\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by 18.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153*t - 236 + 1338 + 275 = 0. Solve 1 = z, t*q - 4*z = 11*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7917538*d**2 - 156*d + 16186.\nAnswer: 15835076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -12001012?\nAnswer: -12001021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -494, 0, 1, -32, 4, 5 in decreasing order.\nAnswer: 5, 4, 1, 0, -32, -494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(34) - sqrt(170)\/sqrt(80) - sqrt(34))\/(sqrt(14)\/(sqrt(21)\/sqrt(3))) + 2*sqrt(272) + 6*(sqrt(17) + -2))**2.\nAnswer: -330*sqrt(17) + 53729\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j - 4*t + 56, -13 = 4*j + 8*t - t for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + -5 - 6 - -1) + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2241 + 1519.2241. Let q = j - 1519.01433. What is q rounded to 3 decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 5*d - 21 - 4 = 0, 2*n = -5*d - 25. Suppose -s + 4*p - 14 = n, -5*s + 4*p - 2*p = 70. Is 5271\/s*4\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + p = -4*w + 5, -w = p - 8. Suppose w*m + 14 = 609. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(-4)\/1 + -4. Let s(t) = -t**3 - t**2 - 2*t + 4. Let m be s(p). Find the first derivative of 0*n**4 - 4*n**m - 2*n**4 - 14 + n**4 wrt n.\nAnswer: -20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2, -4, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2617 - -2611 - -6*1. Suppose -3*j = 12, q + 0*j = 5*j + 26. Solve 2*r + 3*x - q = 0, -5*x + 29 = -w*r - 3*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of 36667*s**2\/2 + s - 2. Let m be j(-3). Round m to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 j when two letters picked without replacement from {f: 1, n: 2, j: 2, v: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34422.\nAnswer: 2, 3, 5737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -10265, -14232, -18189, -22136?\n\"Answer: 5*w**2 - 3982*w - 6288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -1.2, 1\/5 in decreasing order.\nAnswer: 8, 1\/5, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 5*n + 14216 = 0, a + 9514 = 3*a - 4*n. List the prime factors of a.\nAnswer: 47, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -3 (b) 11\/3 (c) 41.7 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 282702 (base 9) in base 13?\nAnswer: 6074c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and -282839646347.\nAnswer: -282839646347.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -2960550 to the nearest one hundred thousand.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1884 divided by 4?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 231 - 234. What is the third smallest value in -0.1, r, -3.1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -121 and 8.375 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*p - 74. Let h = 21 - -5. Let f = p - h. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of -w**6\/360 + w**5\/30 - w**4\/8 - 4*w**2. Let m(c) be the second derivative of a(c). Give m(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 b when four letters picked without replacement from zbbbzb?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 274 = -a, 12*a - 506 = 10*a + 4*t. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - w - 123 = -m, 0 = -4*w + 8. Suppose -462 = -3*z - 93. Calculate the remainder when z is divided by m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 23.368 and -132\/233 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (116\/(-36) + 3)\/(10\/30)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/3)*x)\/((x*(x\/((x\/(x**(-8)*x))\/x))\/x)\/x))\/((x\/x**(-7\/6))\/(x*x**(7\/4))) assuming x is positive.\nAnswer: x**(37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 5)*(-22)\/2145*3\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - -18)\/(48\/128). Let s be ((-400)\/m)\/(20\/(-6)). Factor -21\/4*l - 21\/8*l**2 - 3\/8*l**s - 3.\nAnswer: -3*(l + 1)*(l + 2)*(l + 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*p**2*s*v + 4*p**2 - 17*p*s**2*v + 3*s**2 - 59*v with respect to p.\nAnswer: -4*p*s*v + 8*p - 17*s**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 902883 is divided by 42.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of m**5\/10 - m**4\/3 - m**3\/2 + 5*m**2\/2 - m + 4. Suppose 3*q - 11 = -2*d + 1, -2*q + 8 = -d. What is the units digit of t(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.06, 1\/7, 1, -0.05.\nAnswer: -0.05, 1\/7, 1, 1.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 26*c - 28. Let j(a) = -a**3 + a**2 + 4. Let z be j(2). Suppose 2*b + 11 = 3*w - 4, b = z. What are the prime factors of f(w)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - ((-3 - 3) + 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -15. Which is greater: 2\/13 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b**4 + 9*b**3 - b**2 = 0.\nAnswer: 0, 1\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -60bb32 - 4?\nAnswer: -60bb36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -839856153*q**3 - 174616633*q**2 wrt q.\nAnswer: -5039136918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 7166*t + 44042. Give f(-6).\nAnswer: 1046","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -87b456 (base 12) to base 9\nAnswer: -4044653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -45*p + 432. Let r = 22 - 16. Let l = p - r. Solve -u + 3*g = -l*u + 6, 0 = -u - g + 2 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -275560*p**3 + 21165*p**2 + 1500*p + 20.\nAnswer: -5*(8*p - 1)*(83*p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 959 is divided by 107.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2541)\/66)\/((-105)\/270).\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = s - 775, 0 = 2*s + 5*k - 223 - 1352. Solve -3*m + s = 776 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7*13 + 60\/15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, u: 2, l: 10}. Give prob of sequence uu.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v + 0*v - v**2 + (-1574*v + 2946*v - 1644*v)*(3*v - 5*v + v).\nAnswer: 271*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000381466 to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 5*t + 44, -28 = 4*g - 5*t + 4*t. Let x be (-12)\/(2 + 13\/g). Let f = -18 + 42. Calculate the greatest common factor of f and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 9)\/((-3)\/18)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**4 + 333*c**3 + 3300*c**2.\nAnswer: 3*c**2*(c + 11)*(c + 100)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 9 - 15. Suppose f + 2 = o. Suppose -f*a + 14 = -26. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2785462, 11141872, 25069222, 44567512, 69636742?\nAnswer: 100276912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 199 + 16*k**2 - 199 - k**3 to v*k**2 + l*k**3 + i + o*k and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1023*n**4 + 3*n + n**3 + 6*n**2 - 42*n - 1022*n**4 + 0*n**2 - 3*n**3 to the form j*n**2 + v*n + r*n**3 + u + c*n**4 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11445575 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 1:56 AM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - 10*l**2 - 8*l + 10. Let j be g(-9). Calculate the greatest common divisor of 7 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -5, 1, 1\/6, -899, -0.1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 3)*(543*o + 11758 - 11758).\nAnswer: 1086*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5 - (-1)\/((-2)\/(-8)))\/(31\/(-92907)). Which is smaller: m or 2996?\nAnswer: 2996","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -5*x - 6090, -7*z + 6*z = 4*x + 4872. Calculate the remainder when (8\/6)\/((-56)\/x) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-1)*3\/(-6). Suppose 5*p + 2*h = 10 + 22, -r*p = 5*h - 17. Let q be (1 - -2)*(-8)\/p. What is the second smallest value in -5\/4, q, 0?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 5:53 AM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-9)\/(-1))*15\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*l**3 + 3*l**2 - 3*l**2 - 6*l**3.\nAnswer: -48*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l - 4*l**2 - 2*l. Let z(n) = -66*n - 10*n + 30*n + 33*n + 26*n. Calculate z(c(s)).\nAnswer: -52*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-5*(-80)\/(-1300)).\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a minute in milliseconds?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 3*x + 2*x - 15, -3*b = 3*x - 9. Suppose -u - v = -2, -3*u + v + 14 + 0 = b. Differentiate -8*r**2 + u*r**4 + 8*r**2 - 3 with respect to r.\nAnswer: 16*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 9*q**2 - 7*q - 3. Let y be j(8). Let i be (-2 + y)\/((-12)\/8). Is ((-28)\/6)\/(i\/27) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 8:37 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -11*w + 1. Let f(a) = 2*a**2 + 2*a. Calculate -2*f(y) - r(y).\nAnswer: -4*y**2 + 7*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9612 = -2*j + g - 1869, -4*j - 4*g - 22956 = 0. What is j rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 + ((-30 - 5) + 15 - (2 + -31))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 691 is divided by 199.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27.331 - -31.331. Sort -10\/11, 5, 154, k in decreasing order.\nAnswer: 154, 5, k, -10\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -111 + 117. Let h(b) = -1. Let s(a) = a + 1. Let l(u) = h(u) - s(u). Calculate l(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 218512 and 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**2 - q + 2. Let f(j) = -5*j**2 + 2*j - 6. Let b be 140\/(-42) + 2\/(-3). Suppose -58*v - 441 = 297 - 100. What is b*f(w) + v*n(w)?\nAnswer: -2*w**2 + 3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of 0*p**4 + 28 + 0*p**3 + 163\/5*p**5 - 3*p + 4*p**2. What is the second derivative of f(j) wrt j?\nAnswer: 1956*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-132)\/11*((-42)\/(-9))\/(-7)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 35.54347 nanoseconds?\nAnswer: 0.00003554347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pflllllff. Give prob of picking 1 l, 1 f, and 1 p.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -5*h. Let l(a) = -36*a - 214. Let j(v) = 22*v + 107. Let w(r) = 5*j(r) + 3*l(r). What is w(s(m))?\nAnswer: -10*m - 107","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzuzzkzzzzkzu. Give prob of picking 2 z.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o + 2*o - 3*o)*(-106 + 36 - 80) - 4*o + 0*o + 3*o to the form d + a*o and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -187\/113100 and 137\/5089500.\nAnswer: 5089500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 925621?\nAnswer: 925621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.025 - -0.525. What is the closest to 0.2 in -1\/7, -5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -77 + -152. Let t = m - -230. Let u(a) = -a**2 + a + 1. Let o(l) = -8*l**2 + 4*l + 8. Calculate t*o(v) - 6*u(v).\nAnswer: -2*v**2 - 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-980)\/(-300) + (-6)\/10. Let a(u) be the first derivative of 6*u**4 + p*u**3 - 2\/3*u**6 - 10*u**2 - 19 + 4\/5*u**5 - 12*u. Determine l so that a(l) = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of -7*i**6\/30 + i**5\/60 + i**4\/24 + 10*i**2. What are the prime factors of m(-1)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -226 + 228. Solve -l + 3*w = -0*w, h*l = w for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gegeee. Give prob of sequence gg.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14761 is divided by 20.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7413.847 rounded to the nearest ten?\nAnswer: 7410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 3 = -3*n, 9 = -n + 2*n - 4*f. Let y be ((-1)\/n + (-208)\/12)\/(-1). Solve -5*q - 3*j - 2*j = 35, 3*j = -q - y for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 34*g - 242. Let c be v(7). Let l(k) = -k**3 - 3*k**2 - 9*k - 16. Is 12 a factor of l(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(68) + -6*(0 + sqrt(68)) + 2)**2 + (4*(sqrt(68) + 0 + sqrt(68)) + (sqrt(68) - (sqrt(68) + -1 + 4)))**2 + 1.\nAnswer: -176*sqrt(17) + 6078","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 464\/(-7018)*(-352)\/384?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11880 and 1080.\nAnswer: 11880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 178534 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: b\"What is the yth term of 5841, 46209, 155779, 369153, 720933, 1245721?\n\"Answer: 5767*y**3 - y**2 + 2*y + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 10:34 PM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 495662 and 470.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4 = -4*u + 4, -3*s + u + 9 = 0. What is the second derivative of -2*l**3 + 7*l - s*l - 2 + 2 wrt l?\nAnswer: -12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/6 + 343970\/(-6). Let r = c + 122046. Let x = r - 30718. What is x rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8\/123 in -2\/3, 0.18, -5\/28?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 5*n - 3*w + 284, 2*n + w = -124. Let k = 49 + n. Let m be k + 10 + 11\/12. Is m less than 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - 255*x + 14085. Give q(174).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 106613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 - 10*q - 523. Determine r(-18).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 2)*(-h + 2*h - 4*h)*(4*h - 2*h - h).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0198 and 371304.874.\nAnswer: 371304.8938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -4585*m + 4587*m + 2 - 1 in the form r + l*m and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/(-4))\/(70\/84). Let d = 17 - 12. Suppose c = -i - d, 5*c + 2*i + i + 25 = 0. Sort 5, h, c in ascending order.\nAnswer: c, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 81 * 6083.36.\nAnswer: 492752.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + v + 694, 2*u - 1396 = 3*v + v. Let d = -453 + u. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13520, 13516, 13510, 13502, 13492, 13480, 13466?\nAnswer: 13450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of -c**5\/210 - 1087*c**4\/42 - 1181569*c**3\/21 - 1213*c**2 + 2*c. Find b, given that t(b) = 0.\nAnswer: -1087","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4961 and 66379?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -7 + -6 + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of b**4\/30 - b**3\/5 + 2*b**2\/5 - 29*b. Factor w(p).\nAnswer: 2*(p - 2)*(p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 25*n - 48809 = 24*n, -3*x = -2*n - 36604. What are the prime factors of x?\nAnswer: 2, 6101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 5 - 3. Which is smaller: y or -2\/37?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xnnnnnxnnxnnxnnnxn. Give prob of picking 1 x and 1 n.\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 4*l + 490, 0 = 3*f + 5*l - 4*l - 515. Solve -f*x = -177*x + 7 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a**3 + 4*a**2 - 2*a - 4. Let g be c(2). Factor -g*r**3 - 9*r - 73*r**2 - 9*r + 25*r**2 - 2.\nAnswer: -2*(r + 1)*(4*r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1793 is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19890*p*s**3 - p*s - 73*p - 1064*s**3 + s**2 + 13*s - 385 wrt p.\nAnswer: -19890*s**3 - s - 73","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4859 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/10 of a milligram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - q + 3. Let u be c(0). Let y be 5\/(-15) - 1\/u. Let n be (-2*1)\/(3 - 2). Which is bigger: y or n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-9)\/(d\/(d**(3\/17)*d)))\/(d\/(d*d**(2\/5)*d*d)*d)**(-42) assuming d is positive.\nAnswer: d**(-5748\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 5*c + 15 = 0, -14*c + 19*c - 6 = -2*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 15 - 0. Suppose 182 = b*z - 130. Let r = 19 - 6. What is the greatest common divisor of r and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/4)*s*s**(-11))**43 assuming s is positive.\nAnswer: s**(-1763\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + 22*w + 8. Let h be t(22). Let s(a) = a**2 + 11*a - 147. Let g be s(h). Solve 0 = -g*y + 24 - 34 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - ((1 - (-2 - -3)) + -2 + 3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 35*13\/(195\/222). Let n = 741 + r. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 26 = 2*o, -4 = -622*p + 620*p for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5683 - 5658. Sort q, -1, 4.\nAnswer: -1, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/20 + (-2)\/10. Suppose -y + 2 = -2*g + 3*g, 0 = -3*g - 5*y + 14. Put 18, g, d in increasing order.\nAnswer: g, d, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 0.877?\nAnswer: 0.2631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5943?\nAnswer: 3, 7, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -4*r - 1\/6*r**4 + 0*r**2 + 0 + 0*r**3. Let o(b) be the third derivative of b**4\/8 - b**2. Give m(o(c)).\nAnswer: -18*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 + 484*k + 686*k + 3 + 19 + 6.\nAnswer: 1170*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o - 1. Let c(v) = 28*v. Give -c(h) + 3*z(h).\nAnswer: -31*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 k, 1 j, and 1 l when four letters picked without replacement from {j: 6, q: 8, k: 2, l: 3}.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-8)*((168 - -5) + -7). Solve 1 = -82*z + i*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7710 and 2190?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-76)\/(-182) - (-8)\/52. Let s = 45 + -44.6. What is the nearest to 6 in s, -0.4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q**3 + 97*q**2 - 161*q**2 + 64*q**2.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -342, -684, -1026, -1368, -1710, -2052?\nAnswer: -2394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nw when two letters picked without replacement from {n: 2, u: 1, q: 4, b: 1, w: 2}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**3 - s**3 - s**3)*(3 + 1 - 3)*(6*s + 2*s - 2*s).\nAnswer: -12*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -43*g**2 - 210*g - 49. Determine j(-5).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Convert 22020 (base 3) to base 13.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, b: 1, e: 2, l: 2}. Give prob of sequence elql.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -4, -4130 + 1134 = -5*c + 2*q. Let v = 1259 - c. Let s = v - 168. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0\/19)\/(-1 + -1). Suppose 15*w - 153 - 12 = c. Let m(o) = 14*o**2 + 3*o. Let q(r) = 5*r**2 + r. Calculate w*q(v) - 4*m(v).\nAnswer: -v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -532 in -2\/7, 0.2, 0.02?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -83224220 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1086034031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8761*g**2*k - 25300*g*k wrt g?\nAnswer: 17522*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a day in hours?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/3, -2, 3, -3, 1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 1)*(0 - 4). Which is the biggest value? (a) -5 (b) 0.1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-1 - 20\/(-8) - 1)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69942159?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12394.96 - -12395. Which is the nearest to 0.01? (a) 5 (b) -1 (c) 4 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 340 + -362 + -2 + 7?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46721640 by 105.\nAnswer: -444968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and 864426 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.35 + -0.05. Let q = -162 - -645\/4. Let x = -0.08 - -4.08. Which is the third biggest value? (a) z (b) q (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -2. Let a(p) = p**3 + 7*p**2 - 2*p. Let s(v) = v**2. Let n(r) = q*a(r) - 3*s(r). What is the tens digit of n(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1188765 * -0.6\nAnswer: 0.0713259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w - 8 = 5*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*s + 27*s + 1906 + 334 = 0 for s.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18.282 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154 is divided by (12\/(-6))\/((-79)\/300 - (-13)\/52).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 - 11. Let p(f) = 52*f + 129. What is the smallest common multiple of q and p(-2)?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + k - 1 = 0, -3*k = 2*o + 27. Let b be (-45)\/(-10) + o\/6. Factor 15\/2 + 9\/4*y**b - 51\/4*y.\nAnswer: 3*(y - 5)*(3*y - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00012094797 rounded to 6 decimal places?\nAnswer: -0.000121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13726509449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-43)\/(-129))\/(1\/1).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -100 - -107.1. Let x = o + -7.5. Put x, 4, 7 in decreasing order.\nAnswer: 7, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 3178.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2322\/8983 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 40, -0.1, -1\/5?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*y - 66 = 4 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3478 is divided by 1738?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -38, -46, -54, -62, -70?\n\"Answer: -8*i - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a - 11. Let v(q) = q + 7. Let n(b) = -5*o(b) - 7*v(b). Is n(12) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**3 - 116*g**2 + 1054*g - 940 = 0 for g.\nAnswer: 1, 10, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 - 24541?\nAnswer: -24525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 5*f + 13 = 0, -2*f + f = 4*g + 25. Let w be 0 - (-1)\/(-2)*42\/g. Suppose 3*v + 2*b - 153 = 139, b = w*v - 295. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/(-10))\/(22\/10))\/1\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -12, -4, -10 in descending order.\nAnswer: 3, -4, -10, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30.7 + 32. Let y = z + -1.2. Which is the smallest value? (a) 3\/8 (b) -1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5578200 to the nearest 10000.\nAnswer: -5580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 4:53 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18711 and 4851.\nAnswer: 130977","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of 7\/48*f**4 + 8*f**2 + 0 - 1\/6*f**3 + 0*f + 1\/30*f**5. Factor m(u).\nAnswer: (u + 2)*(4*u - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-2 - -3) + -45 + 48?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d + 2. Let n be 2\/(-4)*(-3 + 3). Let j be r(n). Let x(h) = h**2 + 7*h + 2. Let c be x(-6). Sort c, -5, j in increasing order.\nAnswer: -5, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - -11 - 20 - (0 - 2 - -135) - -14?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from sszsssss?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43 + 62. Let v = f - 16. Solve v*t + 7 = 19 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -43*l**2 - 3. Let x(r) = 42*r**2 - 3 - 56*r**2 + 2. Let j(h) = -2*s(h) + 7*x(h). Determine j(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-4))\/12 + (-19)\/(-39)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 24*v + 16 = -29*v, -5*j = -4*v - 18 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 26*l**2 + 159*l - 1595. Calculate the smallest common multiple of j(10) and 10.\nAnswer: 5190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**5\/2 + 39*q**4\/2 + 87*q**3 + 135*q**2 - 81*q\/2 - 405\/2.\nAnswer: 3*(q - 1)*(q + 3)**3*(q + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3, -1, 5, 15, 29?\n\"Answer: 2*n**2 - 4*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -1.4136434.\nAnswer: -4.2409302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.29 + -5.69. Which is the nearest to 42? (a) 0.1 (b) 4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2*r + 62 = 0, -11 + 16 = -5*r. Let s be 6\/v + (-39)\/(-5). Suppose 2 = 3*l - 2*l. Solve -2*p - s = l for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-18)*6\/(-9)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(-2) - 3) + 559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 8*n + 8*n - 9*n. Put n, 7, 5, 9, 1\/2 in descending order.\nAnswer: 9, 7, 5, 1\/2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8 + -5 + -7)\/22. Which is the third smallest value? (a) -3 (b) u (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (-12 - (-5 + -4) - -5)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2787, 5433, 8079, 10725, 13371?\n\"Answer: 2646*c + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1028?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9037752*q**3 - 481*q - 207088 wrt q.\nAnswer: 54226512*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -20549 != -20550?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3549 and 178126?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 6*n + 15. Suppose -4*c + n = -33. Suppose c*g = 135 + 81. Does 18 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, o: 6, l: 3}. Give prob of sequence lo.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2512615 is divided by 628139.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of q**6\/30 + 2*q**5\/15 - 8*q**4\/3 - 64*q**3\/3 + 24*q**2. Factor d(n).\nAnswer: 4*(n - 4)*(n + 2)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 593*f + 99972 = 594*f, g + 2*f = 49977. What are the prime factors of g?\nAnswer: 3, 19, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) -59964 (c) 3\/2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3*((-4)\/(-54))\/(106\/53)*-2\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 z when two letters picked without replacement from {g: 1, s: 1, z: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -127*o - 27. Let k be l(-1). Let i = 111 - 78. Calculate the remainder when i is divided by k\/(-125) - (-188)\/10.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -19 + 42 + -40\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 517580?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 182 - 187. What is the closest to 4\/7 in 0.1, y, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 124568 and 1334?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 - -1)\/((-6)\/(-4)). Is c > -3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 28 - 21 = 0. Let w = c - -2. Let u(a) = -3*a**2 + 51*a - 22. What is the remainder when w is divided by u(16)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 2\/(-3)*(-1)\/(-1). Factor -1\/3*q**4 + 2\/3*q - 2\/3*q**3 + p + 0*q**2.\nAnswer: -(q - 1)*(q + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 5 - -6 - -6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of m**6\/24 - 13*m**5\/4 + 845*m**4\/8 - 10985*m**3\/6 - 2*m**2 + 6*m. What is q in d(q) = 0?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 1199*m + 1193. Calculate z(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 1. Let p(i) = -42*i**3 + 49*i**2 + 2. Let x(c) = 2*o(c) - p(c). Find the third derivative of x(v) wrt v.\nAnswer: 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71a528 (base 11) to base 5\nAnswer: -243442233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 447.94 to the nearest ten.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2*(-5*-1*sqrt(136) + sqrt(136))\/(sqrt(128) + -2*sqrt(128))*-4)**2*2*3.\nAnswer: -44064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6001, -12148, -18293, -24436, -30577?\n\"Answer: d**2 - 6150*d + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-x - 14*x + 0*x)*(-1 - 3 + 2)*(0 - 3 - 1)*(2 - 1 - 3 + (-4 + 1 + 2)*(-4 + 4 + 1) + 3 - 7 + 1) to n*x + r and give n.\nAnswer: 720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 356013.\nAnswer: 3, 7, 5651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/2)\/((-3)\/(-6)). Suppose -4*b = -7 - n. Solve -b*y + 1 = 5 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4966.006477 - 4966. Round d to 4 decimal places.\nAnswer: 0.0065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3705 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*2\/4*(-55 + 57). Calculate the remainder when 7 is divided by 26\/8*r + 93\/(-62).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (114\/19)\/(1\/(3\/(-18)*-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 73*y**2 + 441*y + 25. Calculate x(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1)**46\/(c*c\/c**11*c**4) assuming c is positive.\nAnswer: c**51","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a99 + 0?\nAnswer: a99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 6*u + 170. What is the smallest common multiple of 24 and n(-20)?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1301*i**2 - 823*i**2 - 206*i**2.\nAnswer: -2330*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 323 divided by 9\nAnswer: 323\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7602 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 9:01 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -36316, -128 in increasing order.\nAnswer: -36316, -128, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17183 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9422090?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**3 + 10*k**2 + k - 5. Let i be c(-4). Calculate the highest common factor of i and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of m**8\/168 - m**5\/60 + m**2 - 2*m. Let t(p) be the first derivative of y(p). Find the third derivative of t(n) wrt n.\nAnswer: 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**3\/3 - 9*x**2 + 175*x - 2009\/3 = 0. Calculate x.\nAnswer: -41, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**15*d**4 assuming d is positive.\nAnswer: d**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*q**3 - 5*q**2 - q**2 - 15*q**3 + 6*q**2.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 232\/(-4)*((-340)\/8 + 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14008 (base 12) in base 2?\nAnswer: 110110000001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 198787*r**2 - 99499*r**2 - 99287*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 8260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 17762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50 and 1250.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 357 + -65. List the prime factors of g.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/6*9\/3. Let o be 14\/(-4) - (-3 + s). Suppose 0 = 4*h - 4*d, 3*d + 12 = 2*h - 3*h. Does h = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-915)*(-8)\/10*(161\/(-28) - -2)?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(3888))*-3*3)**2.\nAnswer: 11664*sqrt(3) + 315252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/((18\/45)\/((-84)\/(-25))))\/2.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -706*o + 6. Let x(v) = -1157841*v + 9842. Determine 4921*j(w) - 3*x(w).\nAnswer: -703*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 3*b**4 + 576567*b**3 + 27701593908*b**2 - 83112277248*b - 110813294592 = 0?\nAnswer: -96096, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 4737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (3*(sqrt(70) - ((sqrt(70) - (sqrt(70) - (sqrt(70) + sqrt(70)*-1 - sqrt(70)))) + sqrt(70))))\/sqrt(10) + ((sqrt(567) + sqrt(567)*1*-2)*-4)**2.\nAnswer: 3*sqrt(7) + 9069","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of 0*j - 1\/24*j**4 + 12*j**2 + 0 - 1\/6*j**3. Calculate x(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 247499204 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23794871*b*g**2*l + 76*b*g*l - 14*b*g + b*l + 8*b + 10*l wrt g.\nAnswer: 47589742*b*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - q - 9 = 0, 5*c - 5*q - 9 = 8*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -2*o - 38, -4*v + 28*o = -6*v + 25*o + 5*o + 2 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 2072.004mg?\nAnswer: 0.002072004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -3*d + 5*j, d = -j + 3*j + 12. Factor 5*u**d - 16*u - 44*u**3 + 4*u**4 + 43*u**2 + 10*u**4 - 2*u**4.\nAnswer: 4*u*(u - 2)*(u - 1)*(3*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((80 + 122 + 50)*(14 - 14 + 7*m) + (-4 - 3 + 5)*(m - 3*m + 0*m) - 4 + 4 + m)*(-m + 3 - 4 + 2) as k*m + n*m**2 + h and give n.\nAnswer: -1769","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of 4689*m**3\/2 - 1297*m**2 + 8241*m + 2. Differentiate c(b) wrt b.\nAnswer: 14067","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1885 - 1885. Let b(r) be the third derivative of 0 + 1\/12*r**4 - 10*r**2 + 0*r**3 + m*r. Let x(k) = -k. Determine b(x(d)).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.094 + 0.094. What is the closest to 0 in -0.5, 0.1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6.2 (b) 2\/17 (c) 2\/3 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4067467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 - 28 = -12*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6 + 1129925\/(-30) - 2\/(-12). Round p to the nearest 1000.\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/4)\/(4\/(-8)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a tonne in kilograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 5536*o**2 + 395*o - 230. Let q(y) = -10*y**2 + 10. Let j(r) = 2*p(r) + 46*q(r). Find the second derivative of j(t) wrt t.\nAnswer: 21224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -8. Calculate the common denominator of (-16)\/6*30\/(-55) and c + 0 + (-2)\/(-7).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-81)*48\/(-80)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 9cd42b?\nAnswer: 9cd429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + (8 - (12 + -12 - 2)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 16983, 60, -2, 2, 1 in ascending order.\nAnswer: -2, 1, 2, 60, 16983","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-28670)\/(-15))\/(36\/162)?\nAnswer: 3, 47, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 569460 is divided by 137.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (627 - 685) + (-6 - (-2 + 31)).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 284 - 252. Suppose 4*n - 5*n + x = 0. Calculate the greatest common factor of n and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bumvbbubvbmb. Give prob of picking 1 u and 1 v.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -3*a + 136, -2*j + 5*a + 67 = 2*a. Let u(y) be the first derivative of 5\/3*y**3 + 0*y - 5\/2*y**4 + j + 0*y**2. Find c such that u(c) = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*p = -3*w - 24, -w = 5*p - 28. Suppose -2*s - 20 = -2*v - p*s, s + 5 = 2*v. Solve b = 3*m - 2*m - 5, -v*m = -3*b - 20 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 25808, 25668, 25528, 25388?\n\"Answer: -140*h + 25948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -66814 (base 9) in base 2?\nAnswer: -1010110101110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -8\/15*a**3 + 4\/25*a**5 + 1\/5*a**4 + 2 + 4\/5*a - 1\/15*a**6 - 1\/5*a**2. Solve q(n) = 0 for n.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, q: 4, l: 1, b: 1, f: 1}. What is prob of sequence bfq?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5 + 3 - -2) + (-5 - 11). Let o(x) = x**3 + 15*x**2 - 20*x - 25. What is the remainder when 157 is divided by o(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 - -2 - -4 - (89 + -31).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -5*r + 10*v, r + 4*r + 5*v + 4507 - 4557 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9\/((-10)\/16 + 1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8328 is divided by 3880.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12732785*n*u**3 - 19*n*u**2 + 6*n + 33310*u wrt u.\nAnswer: -76396710*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 46695*c + 1. Let n(a) = -a**2. Give s(n(d)).\nAnswer: -46695*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 492076?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 - 69 = -8*a. Suppose -a - 24 = -14*p. Solve i + p*u + 13 = 0, 6 + 9 = 5*i - u for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002031909469 to 7 decimal places.\nAnswer: -0.0020319","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*a - 14 - 66 - 104 = 0. Sort -5, 102, a in descending order.\nAnswer: 102, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zazdmaczpazdzadczz. What is prob of picking 1 d, 1 p, 1 c, and 1 a?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-125))\/((-18)\/(-90)). Put w, 3, 0.4, 0.12 in decreasing order.\nAnswer: 3, 0.4, 0.12, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 12 = 2*s, -5*w + 6*w = 5*s + 7. Factor 15\/8*k**w - 9\/8*k - 3\/4*k**3 + 0.\nAnswer: -3*k*(k - 1)*(2*k - 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -653 by -391.\nAnswer: 653\/391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8749271 or -8749270?\nAnswer: -8749271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 3:50 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 29.031*-145\nAnswer: -4209.495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s - 9. Let n be i(-4). Let b = 2 - -2. Suppose b*k - 4*o + 18 + 14 = 0, 2*o = k + 10. Sort -1, n, k in ascending order.\nAnswer: k, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -7*f**2 - 2*f + 1. Let n = -74 - -75. Calculate v(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of 2*q**6\/3 + 24*q**5\/5 + 13*q**4 + 16*q**3 + 8*q**2 + 13. Solve s(a) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 35112 or 35068?\nAnswer: 35112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/2*-42*(-94)\/(-141)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3401*h + 2319*h - 1625*h + 32760 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - p - 4. Let f(h) = -h**3 + 6*h**2 + 3*h - 13. Let j be f(6). Determine r(j).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((7 - 8) + 1)\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 < -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-21 - (-3 - 27)) + (2 - 10)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 + (4362\/39 - 2\/(-13)). Let x be (k\/32 + -4)*4. Let j = 7\/4 - 9\/4. What is the second smallest value in j, x, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zjzwzoorroorzj. What is prob of sequence zzjo?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k + 28. What is s(17)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 2:01 AM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1057263484?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - t**3 + 2)*(-23*t + 28 - 28).\nAnswer: 23*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -554841 (base 10) in base 7?\nAnswer: -4500420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5058 + 62350?\nAnswer: 56281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 659883461.\nAnswer: 43, 15346127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(3) + (sqrt(147)*-2 - sqrt(3)) + (sqrt(96)\/sqrt(8))\/sqrt(4) + 3 + (sqrt(162)\/(sqrt(9)*-1) - sqrt(18))\/sqrt(6)))**2.\nAnswer: -810*sqrt(3) + 6156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*w + 73 - 31. Let n = 2 + 0.4. Let f(x) = 2*x - 2. Let y be f(-1). What is the third smallest value in w, n, y?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 - 119*g + 2443*g**3 - 2441*g**3 - 7 - g**2 as y*g + o*g**2 + m + h*g**3 and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 219, 212, 193, 156, 95, 4?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/168*8\/32.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12524054214 - 4?\nAnswer: 12524054210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 38*f**3 + 18*f**3 + 4*f**4 + 136*f + 18778*f**2 + 44 - 18634*f**2.\nAnswer: 4*(f + 1)**3*(f + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**4 + g**2 - 2*g + 4*g**4 - 11*g**3 + 4*g**3 + 9*g**3 wrt g?\nAnswer: 72*g + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1805795?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0 - 3*v**4 + 16*v**4 - 2 + 0 wrt v.\nAnswer: 52*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 + 27*g + 32. Let o be z(-26). Let c(j) = -j**3 - 1. Let k(n) = 17*n**3 - 2*n + 6. Calculate o*c(b) + k(b).\nAnswer: 11*b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/27 and -40\/567?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1138 is divided by 67.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -6*a + 32. Suppose -6 + 1 = -2*i - k, -11 = -a*i - 3*k. Solve i = 2*r + 14 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -359851 (base 11) in base 14?\nAnswer: -10b6c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 3135480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 - -36. Let z(q) = -q**3 - 34*q**2 - 78*q - 453. Let n be z(-32). What is the second biggest value in -0.1, 2\/3, d, n?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6416427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 8. Let m be (-206)\/(-14) - (-6 - (-280)\/49). Suppose 126*d - 129*d = m. Which is the biggest value? (a) 9 (b) d (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -4*r + 3. Let s(o) = o - 1. Let d(p) = 3*s(p) + y(p). Let n(v) = -38*v + 5*v + 10*v + 10*v + 11*v. Calculate n(d(i)).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 8*z**2 + 5*z + 17. Let n be g(7). Solve n = -2*v - 3*y - 10, 0 = 3*v + 4*y + 18 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (4 - -26) - -6 - (26 - 1).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of 5*a**3\/6 + 35*a**2 + 2187. Suppose d(r) = 0. What is r?\nAnswer: -28, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 3*j**2 - 5*j - 1. Determine c(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 0.2?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 5*t**2 + 6*t - 6. Let g = -31 - -49. Let o = 13 + -4. Let h(k) = g*k - o + 11*k**2 - 4 - 5*k. Determine 6*h(q) - 13*m(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w - 1. Let x(u) = -2*u**2 - 4*u + 4. Let d(k) = 3*a(k) + x(k). Let p(v) = -v**2 + 2. Let r be p(2). Give d(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -1\/3 (b) -0.5 (c) 2\/5 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11183 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2819627, -5639261, -8458895, -11278529, -14098163, -16917797?\n\"Answer: -2819634*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 40\/1079?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.13 + 0.23. Which is the nearest to -1? (a) 4 (b) -5\/3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = -5*l + 25, 12*j + 23 = 7*j + 4*l for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2 = -3*n + 12, 4*j = -5*n + 29. Let l = -63 + 63. Suppose 17 = 4*a - 3*i + 2, -5*i = -3*a + 14. Solve 0 = n*q + h + 22, -a*q + 4*h - 4 = -l for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 39*j**3 - j**2 + j - 1. What is a(1)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -5*t**3 + 4595*t**2 + 1784825*t + 147633625 = 0.\nAnswer: -155, 1229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14438 and 10.\nAnswer: 72190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2386285 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2.1, -2\/9, 2\/15, 4640?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from wsskksulkllkwuws.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -987?\nAnswer: -2\/987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 12, 12, 14?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - 2*z - 4. Let w be j(4). Solve -w*r + 14 = 2*a - 7*r, -17 = -a + 4*r for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {e: 5, o: 5, w: 2}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 495 in decreasing order.\nAnswer: 495, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -189 - -417. Does 19 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - k - 1. Let t(n) = 2*n**3 + 5*n**2 + 7*n + 8. Let a(h) = q(h) - t(h). Let d be a(-6). Suppose -3*i = 27 - d. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-727997)\/4 + 15\/(-20)*1. Round k to the nearest ten thousand.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v**3 - 30*v**2 + 21*v + 21. Is t(-16) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 48080395?\nAnswer: -192321580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 243, 157, 71?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 2*r = -0*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y + 13*y**3 - y + 4*y**3.\nAnswer: 17*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-18))\/(9\/81*(-2)\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -10*q + 159. Let d(l) = -11*l + 149. What is -6*d(v) + 7*n(v)?\nAnswer: -4*v + 219","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -108649, -108962, -109275?\n\"Answer: -313*j - 108336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2 + 4*b - 19. Let s be x(-8). Let m = -79 + s. Sort 4, m, -5.\nAnswer: -5, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -o**6\/5 + 21*o**2\/2 - 15*o. Differentiate q(d) with respect to d.\nAnswer: -24*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 352067572?\nAnswer: 352067577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q + 45*q**2 + q - 3*q as i + r*q**2 + x*q and give r.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*11*(145\/50 - 3). Let z = 3\/5 - d. What is the second biggest value in 4, z, 0.2, 2\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-3)*544\/2040*(-5)\/(-4)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by (7\/2)\/((-1)\/(-2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*p**2\/5 - 136*p\/5 - 56\/5 = 0.\nAnswer: -14\/41, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1032 + -51?\nAnswer: 651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u + 4. Let y be j(-2). What is the least common multiple of y\/(-3 + 2)*-4 and 40?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and 45679108.\nAnswer: 319753756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 20546268 a multiple of 1564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -25*t**2 - 8*t - 15. What is w(-2)?\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 9:02 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*((q\/(q\/(q\/((q\/(q*(q**(2\/23)\/q)\/q))\/q)*q)))\/q)\/q*q*q\/(q\/q**(3\/7)))**(-38) assuming q is positive.\nAnswer: q**(-9272\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p - 1. Let i be w(3). Let u be ((-1 - -1) + 2)*2. Let l(n) = n**3 - 3*n**2 - 4*n + 5. Let a be l(u). Solve -2*k + d = -5, k - 40 = -i*k - a*d for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -150062761 + -0.4\nAnswer: -150062761.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2))\/(1881\/(-684))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68, 111, 86, -43, -312, -757, -1414, -2319?\nAnswer: -3508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 27, -24 in increasing order.\nAnswer: -24, -1, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -4*y**3 + 10*y**2 + 96*y - 280. Give b(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 7, -1, 1, 2 in descending order.\nAnswer: 7, 2, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 727878 divided by -242626\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u**3 - 3*u**3 + 4*u**3)*(-2*u - 1 + 1) + 14*u - 14*u - 8*u**4 as m*u**3 + n*u**4 + h*u**2 + j*u + o and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*7\/35*0\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 288927439 to the nearest integer?\nAnswer: 661","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -y**7\/70 + y**6\/10 + y**5\/5 - 2*y**4 + y**2 - 2*y - 121. Let s(d) = 0. What is d?\nAnswer: -2, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**3 + t**2 - 4*t - 7. Determine v(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u + 3*u - 3*u + (-3 - 1 + 2)*(3*u - 3*u - 2*u) + 0*u - 4*u + 5*u - 14*u - 83 + 83.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12379853.\nAnswer: 79, 156707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -260 + 266. Suppose 52200160 + 100499840 = v*g. Round g to the nearest 1000000.\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-15))\/((-32)\/(-336))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 2*j + 0*j)*((-3*j + 0*j + j)*(j + 0*j + 0*j) - 104*j**2 + 3158 - 3158).\nAnswer: -424*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - w + 54 = -2*j, 0 = -3*w + 5*j - 47. Let d = -5 - w. What is the greatest common divisor of 1 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -56 and 2.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1580885 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-3) + 1239\/9. Let u(n) = -n**3 + n**2 + 2*n - 2. Let k be u(2). Let z be k - -3 - y\/21. Is z bigger than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -21. Let r(x) = x**3 - 19*x**2 + 51*x - 21. Let i = 202 - 186. Let u be r(i). What is the greatest common factor of p and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74 - (-190137)\/1159 - 91.\nAnswer: -18\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 - 0.1. Let y be 4\/50 + 2\/(-10). Let d = 49\/200 + y. What is the closest to 0 in 1, d, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 424410 and 17458.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 x when two letters picked without replacement from {a: 1, r: 1, v: 1, x: 1, e: 2, m: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3*p + 7. Let z be g(3). Let d = z - -5. What is the greatest common factor of 3 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/16 - (-21)\/4. Let z(i) = c - 2*i - 2*i - 3. Is 12 a factor of z(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 149124.1 weeks?\nAnswer: 25052848.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -43*c**2\/2 + 13*c - 58. Suppose -7 + 1 = t. Is b(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -97 - -94. What is the second biggest value in 1, -25, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 0 - -5 - (-25)\/(250\/1690) and 3944?\nAnswer: 11832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 269, -231\/2, -74, 2\/9, -2\/5, 0.3?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13618223 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 21*i**2 + 17*i + 51. Is u(14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 474472?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*n - 2571 = 237. Is 13 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + (-3)\/(-6) + 1\/2. Solve j = 2*y - 4*c, -4*c = -4*y - 2*c for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 85 + -81. Suppose 0 = -r + 5*r. Put -3, r, p in descending order.\nAnswer: p, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 PM and 12:50 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (21\/(2\/(-2)))\/(12\/(-8)). Suppose -c*j = -j + 117. Let w(y) = y**3 + 7*y**2 - 16*y + 19. Let p be w(j). What is the greatest common factor of p and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, s: 2, m: 1, f: 1, a: 2, q: 1}. Give prob of sequence qfs.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5760389 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1529537 + 8849463. What is n rounded to the nearest 100000?\nAnswer: 10400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 17*q**2. Let z(j) = 6*j**2. Let c(k) = 3*l(k) - 8*z(k). Let w(i) = 0*i**2 + 2*i**2 - i**2. What is w(c(b))?\nAnswer: 9*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*u + 58*u - 170*u.\nAnswer: -61*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-21)*-1*(-10 - -24 - 13)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -80585063224 and 4.\nAnswer: -80585063220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5.57 from -915.\nAnswer: -909.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - 2) + 174\/(-240). Let c be 2\/20*4*-1. Let h = c + l. What is the second smallest value in 0.1, 0.2, h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 c when two letters picked without replacement from rvqcq.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 193800\/10336*4\/5?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3*l = 6, -4*l + 7*l - 9 = t. Suppose 0 = -2*b + 2*j + 4, 6*j = t*j + 3. Let v(z) = z**3 - 2*z**2 - 2*z. Calculate v(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 217.81 to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -6*y**3. Let o(f) = -6*f - 1. Let l be o(-2). Suppose 4*z = 5*q - 46, q - 2*z - 1 = 7. Let p = q - l. What is m(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/12 + ((-109)\/6 - -18).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.39 - -1.49. What is the smallest value in d, 4, -2.9?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10800.1 rounded to the nearest one hundred?\nAnswer: 10800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3380 - 3380. Let q(m) = m + 15. Let p be q(0). Suppose -3*n = 9, 0 = -5*i - 6*n + 2*n + 3. Solve -i*t = -y + p for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 + 0. Suppose 2*o + 0 + 4 = 0. Let k be (-6)\/10 - (-2 - o). Which is the second smallest value? (a) 4 (b) k (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + 44*y + 444. Determine u(-32).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92083097.\nAnswer: 92083097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 70\/15 - (-2)\/6. Suppose 0 = -0*s - b*s - 25. Let w = -3 - s. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6789696 to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 > 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 + -1.2. Let p = -5 - s. Let m be (-2)\/(-6)*(0 + -3). What is the smallest value in m, p, -0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*d - 84 = -10*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p**3 + 33549*p**2 + 43144*p + 9588 = 0 for p.\nAnswer: -1, -2\/7, 4794","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2 + 1735*p - 3474.\nAnswer: (p - 2)*(p + 1737)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrq when three letters picked without replacement from rrttqrtt.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -3*a**4 + 5*a**3\/3 + 5. Find the third derivative of y(n) wrt n.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*j + 70 + 4*j**2 - 3*j - 16*j - 2*j**2.\nAnswer: 2*j**2 + 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/2*4\/7. What is the common denominator of -38\/5 and (112\/12)\/(h\/3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 76 (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uksk when four letters picked without replacement from {k: 2, s: 7, y: 1, u: 4}.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 199 + -167. Suppose -d*x = -51*x + 76. What is the second biggest value in -10, -6, x?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/56 and -122\/1070685.\nAnswer: 8565480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 252*q**2 - 2*q + 2. Let f = 72 + -71. Let u be k(f). Suppose -s + 2*l + 117 = 0, -2*s + u = -0*l + 5*l. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 29 - (-2 + (1 - 4\/(-4))). Suppose 2*b + 3 = h, -3*h = 2*b - 3*b - o. Sort h, 3, 2, 4.\nAnswer: 2, 3, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/48*(-8)\/9.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 930.25 to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l + 5. Let k(b) = 10 + 5*b**2 + 12 + 40*b - 12*b - 28. Let z be k(-6). Calculate t(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 16 + 14. What is the biggest value in 1, r, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2892822 (base 10) to base 4\nAnswer: -23002100112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 110888 - 554332\/5. Solve -108\/5 + 36\/5*l**2 + p*l - 28\/5*l**3 - 8\/5*l**4 = 0.\nAnswer: -3, 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -16794, -33589, -50384?\n\"Answer: -16795*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -5*w**3 + 6*w**2 - 10*w + 8. Determine n(2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - m - 1. Let u be o(-1). Let h = -23 + 24. Let c be 2*(3 - u)\/h. Calculate the greatest common factor of 36 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -448*o + 77. Let s(r) = 146*r - 28. Calculate -6*g(f) - 17*s(f).\nAnswer: 206*f + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -9 - (-5 - 0) - (-50)\/10. Which is bigger: 34\/135 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a = a + 945. Is 232\/((-9)\/(9 + a)) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25644054 by 6.\nAnswer: 4274009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 257697.\nAnswer: 3, 11, 19, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 10*o + 31. Let w be g(-7). Let b = -36 - w. What is the units digit of (170 - -7)*b\/((-18)\/(-4))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 7 = -12 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -21*y**5\/20 - 4*y**4\/3 + 8*y**3\/3 - 23*y**2 + 561*y. Let b(a) = -4*a**3 - 3*a**2 + 3*a - 9. Give 11*b(i) - 2*p(i).\nAnswer: -2*i**3 - i**2 + i - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30*k - 81*k**5 + 626 - 626 + 4*k wrt k.\nAnswer: -1620*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8253 = -30*i - 107*i + 12*i + 7247 for i.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**4 - 960*m**3 - 2845*m**2 - 1890*m.\nAnswer: -5*m*(m + 1)*(m + 2)*(m + 189)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o + 9. Let u(n) = -2*n + 8. Let v(t) = -5*p(t) + 6*u(t). Give v(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1072.617 to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -113209?\nAnswer: 113211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-10))\/(180\/4200*(-2)\/6).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of f**7\/70 - 2*f**6\/45 + f**5\/30 + 9*f**3 + 4*f - 3. Let n(v) be the second derivative of c(v). Factor n(l).\nAnswer: 4*l*(l - 1)*(3*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19045.83 - 19046. Is a at least 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*g = -10. Suppose 3*h - 5*s - 205 = 0, g*s = -2*s + 4. What is the greatest common divisor of h and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-34)\/(-102))\/(2\/(-6)))\/((-3)\/(-9)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*m - 5*m + m)*(20 + 23 - 86)*((0*m + m + m)*(-4 + 5 - 3) - 2*m + 3*m - 3*m) to r*m + v + g*m**2 and give g.\nAnswer: -258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1213.5539 times -0.3\nAnswer: 364.06617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22\/39 - -60\/91. Which is smaller: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiidieeiiiieixediii. What is prob of sequence xe?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*u - 6, -1 = -5*u + 2*o + 5. Suppose 2*f - 13 = -5*v + u*v, 4*v = 2*f - 6. Solve 0 = -f*d - q + 24, 2*d - 3*q - 1 + 5 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5402 divided by 23\nAnswer: -5402\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 8*r**2 + 9*r - 4. Let v be w(9). Let i be 8*(v - 36\/(-8)). Let g = 6 - 1. Solve -3*t + g = -3*c + 2*t, i*t - 4 = 5*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.8 and -0.2338371229?\nAnswer: 0.5661628771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/7, 2\/5, 0.7, -78, -3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (12 + -4 + -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = a + 1. Suppose a*w - 9 = 3. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 0.7, -2\/3, 1.4, 2\/5 in increasing order.\nAnswer: -2\/3, -2\/5, 2\/5, 0.7, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 7877.971297255.\nAnswer: -7882.971297255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 11*z**2 + 9*z - 5. Let s be i(-10). Let b(q) = 8*q - 14. What is the tens digit of b(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 2262. Let q(r) = 36666*r. Calculate c(q(w)).\nAnswer: 1344395556*w**2 - 2262","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**3 + 7*n**2 + 2160*n + 4284 = 0. What is n?\nAnswer: -42, -2, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39124?\nAnswer: 2, 9781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -70304 - 78*x**2 - 4056*x - 1\/2*x**3.\nAnswer: -(x + 52)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/10 + 27\/5. Suppose -2*z + 21 = 3*g, 2*g + 15 = 5*g. Solve x*c - 13 = 5*s - 4*s, 1 = z*s + 5*c for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (53 - 89 - 119)*(4 - 4 + 1)*(-n**2 + n**2 + 2*n**2)*(0 + 4 + 1) to r*n**2 + o + m*n and give r.\nAnswer: -1550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - ((3 - 9) + 6 + 3)) + 5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**4 - 12*d**3 - 9*d**2 - 2*d.\nAnswer: -d*(d + 2)*(2*d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 - 2 = -2*s + 3*o, s + 2*o = -12 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-8)*4 - (-16 - -24)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16275?\nAnswer: 3, 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-9)\/6 - 4\/(-2))*6. Suppose -8*y = -21 - c. What is the second derivative of y*h - 4*h**5 + 4*h - 3*h**5 + 14*h wrt h?\nAnswer: -140*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g + 7. Suppose d + 119 = 5*f + 345, -3*d - 4*f = -735. Let b = 239 - d. Let r(q) = q - 3. Give b*s(z) - 5*r(z).\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 10475 and 1.02.\nAnswer: 10476.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5413591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**3 + 11*b**2 + 10*b + 3. Give i(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**3 + q**2 - q - 6. Let o be j(3). Let k be o\/(-24) - (-1)\/(-4). Suppose 0 = -k*v + 4, t + v = 5*t - 42. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.699 millilitres in litres?\nAnswer: 0.083699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(3\/7))\/c)\/c*c*c**(4\/9)*c**(-9)*c**9 assuming c is positive.\nAnswer: c**(55\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/8 (b) 18 (c) 231\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -613 and 58887780.\nAnswer: 58887167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11658 or 11656?\nAnswer: 11656","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2 - 2 = 0. Suppose -5*w = -5*y + 10 - 40, -8 = -3*w - l*y. Solve c + 2*c - 6 = 3*m, -4*c + w = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1137039 - 1137039.01999804. Let y = s + 0.02. Round y to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 37\/5 of a second?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5.9, 0.2, 178, 0.8 in decreasing order.\nAnswer: 178, 0.8, 0.2, -5.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41 + -27. Let m = 15 - c. Let v = -212.97 - -213. What is the third biggest value in m, 0.5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10886123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 10:34 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1001310 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -538 + 547. Calculate the remainder when 2212 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1494\/87399)\/(4\/26)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -59*c + 63*c. Solve 6 = c*r - 5*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84268400 rounded to the nearest 1000000?\nAnswer: -84000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -i**4\/7 - 1490688*i**3\/7 - 555504882232*i**2\/7 + 24444379339776*i\/7 - 268896109394704\/7 = 0.\nAnswer: -745366, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 40 = 9*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 151788 - 151788.0699995. Let s = r - -0.07. What is s rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5690001ng to micrograms.\nAnswer: 0.0005690001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 40*n = 35*n - 20, -3*n = 5*g - 16. Solve 15*o = 16*o - g for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h**3*k**2*n - h**3 - 753*h**2*k + h**2 - h*k**2*n + 5*h - 2*k*n - 78 wrt h?\nAnswer: -6*h*k**2*n - 6*h - 1506*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-8\/5)\/w**(-6\/11))\/(w\/w**(3\/7))**(-34) assuming w is positive.\nAnswer: w**(7074\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -19175\nAnswer: -1917.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (14*(-3)\/24)\/(17\/(-952)). Is 43629\/7 - (-28)\/y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 - (140 + -105 + -49)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 0) + (2 - (-4 + 3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 312 divide 13796288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7971, 31803, 71493, 127041?\n\"Answer: 7929*x**2 + 45*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**3 - 36*k**2 + 66*k - 32 = 0. Calculate k.\nAnswer: 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 19*k - 13. Let h = 12 - -8. Let j be g(h). Calculate the highest common divisor of 21 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3040635529 to the nearest integer?\nAnswer: 1449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 6 + 0 + 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7938 or -7936?\nAnswer: -7936","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 464 a factor of 136416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -56825, -114393, -173473, -234821, -299193?\n\"Answer: -126*d**3 - 56686*d - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18742 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 - -39. Is 7 a factor of 4\/p - (-1149)\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 - 3*z - 1. Let l(f) = -2*f**2 + 3*f + 7. Let u be l(3). Let s be ((-3)\/u)\/((-210)\/48 - -4). Calculate t(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -0*f - 5*v, 0 = -5*f + v + 23. Suppose f*n = 124 - 24. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -101 + 100. What is the closest to i in 1.8, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -w + 354, 5*w + 249 + 81 = 5*k. Is 7 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 0*s = -5*d + 95, 3*d = 3*s + 57. Let j = d + -17. Suppose -121 = -j*n + i, 6*n - 4*i - 194 = 3*n. Is 10 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**4 - 3*j**4 - 6*j**4 + (80*j**2 + 95*j**2 - 145*j**2)*(-j**2 + 4*j**2 - j**2).\nAnswer: 54*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -184)\/(-4) - (64 - 85).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2411 equal to -2414?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/2)\/(-4)*-21)\/((-54)\/(-72)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -5*w**3 + 5*w**2 + 13*w. Let r(o) = -9*o**3 + 9*o**2 + 25*o. Give 5*h(b) - 3*r(b).\nAnswer: 2*b**3 - 2*b**2 - 10*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 + 1.1. Let x = l - 0. Which is the second smallest value? (a) -0.5 (b) -2\/5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z**2 + 1 + 73*z + 22*z**2 - 4*z**2 - 1 to the form t*z**2 + h + d*z and give d.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20350454?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -19. Let p = -13 - l. Suppose -4*b + 113 = 5*m, 2*b - 67 + 12 = -m. Calculate the greatest common divisor of b and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 647715 and 87.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -4. Let k(w) = -1 + 2*w - 6*w + y + w. What is the units digit of k(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = 4*s - 77. Let p = 3 - 0. Let o(q) = q + 6*q**2 - 6 + q**3 + q + q**2 - 2*q**p. Determine o(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 - -17. Put -12, p, 5 in ascending order.\nAnswer: -12, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6548?\nAnswer: 2, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 at least as big as 2381?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = -2*n + 57 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 671 = 2*i + 5*g, 2*g = i - 167. Suppose -t = -w - 161 - i, 2*w - 1302 = -4*t. Suppose -4*f = -2*f - 4, t = k - 2*f. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15\/9 + 0 + -2. Let u = -661.7 + 661. What is the nearest to 1 in -0.1, u, y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 + -24.1. Let b = 4.9 - t. Let k = 5 - b. What is the nearest to k in 0.3, -0.1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 338563065?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p - 2*y, -2*p - 8*y = -5*y + 7 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8429?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b**4 + 1 - b + 22*b**3 + 0*b**4 - 13*b**3 - 19*b**3 to h*b + g + y*b**2 + t*b**4 + q*b**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4630500 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -109 + -2678\nAnswer: -2787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 395*i**4 + 42245*i**3 + 1226705*i**2 + 5074755*i - 260100 = 0.\nAnswer: -51, -5, 4\/79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -263, -1028, -2285, -4028, -6251?\nAnswer: -8948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-26)\/247)\/((-784)\/551152).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -79, -56, -41, -40, -59, -104, -181?\nAnswer: -296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ezeqzeqppzddpq. Give prob of picking 1 q and 1 d.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {i: 1, v: 2, m: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -1588*a + 198. Let w(i) = -i**2. Determine v(w(u)).\nAnswer: 1588*u**2 + 198","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 12:07 PM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**7\/f**(1\/2))**(-2\/7) assuming f is positive.\nAnswer: f**(-13\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9864, 10028, 10294, 10656, 11108, 11644, 12258?\nAnswer: 12944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -1803*y + 1521730. Give r(844).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 431946062*l - 261290606 wrt l.\nAnswer: 431946062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 159171043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 3:33 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 64731230 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + p = -5*z + 1500, -4*z = 2*p - 2002. Is z a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 698183.\nAnswer: 698183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 44202197 to the power of 1\/2, to the nearest integer?\nAnswer: 6648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 465293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeke when four letters picked without replacement from ekkkkkkkkkekkekeek?\nAnswer: 13\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4299*s + 141462 = -34797 for s.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -4*i**6 + 13*i**2\/2 - 17. What is the second derivative of h(n) wrt n?\nAnswer: -480*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*c**3 - 25635*c**2 + 25634*c**2 - 3 - 3*c + c - 1 + 1 - 2*c**3 + (2*c - 2*c - c**2)*(-3*c + 2*c + 2*c) - 2*c**3 - c**3 + c**3 - 2*c**3 + 0*c**3 + c**3.\nAnswer: -14*c**3 - c**2 - 2*c - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 441, 440, 439, 438?\n\"Answer: -f + 442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/4)\/(i\/(i*i**(4\/5))))\/(i**1)**27 assuming i is positive.\nAnswer: i**(-509\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4234 + -4232. Solve -q + 1 = v, -h*q + 8 = -4*q + 3*v for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of 19*r**5\/120 - 35*r**3\/3 - 39. Let f(n) be the third derivative of u(n). Let l(x) = -2*x. Give f(l(t)).\nAnswer: -38*t","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Is 135 a factor of 89640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2ea2 + -7b?\nAnswer: -2f1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 981727, -2, 139 in decreasing order.\nAnswer: 981727, 139, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36 - 89. Let c = d - -52.6. Sort -0.1, c, 0, 0.4.\nAnswer: c, -0.1, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 18, 7, -8, -27, -50?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 8*b**2 - 5*b - 20. Calculate z(9).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-3 + 3 - (-1 + -1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -248*s + 9775814 + 4533042. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1974)\/(-56))\/(3\/8).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -b**4\/3 + 353*b**3\/3 + 709*b**2\/3 + 355*b\/3 = 0.\nAnswer: -1, 0, 355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3269 + -1243. List the prime factors of g.\nAnswer: 2, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1305 a factor of 342616005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**4 - 802246*y**3 + 4813414*y**2 - 4011146*y - 9626808 = 0. Calculate y.\nAnswer: -1, 3, 4, 401117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-3) + 121\/33. Suppose 0 = c*a - 15 - 5. Suppose a - 2 = 3*m. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 403.7 - 403.6. Which is the closest to -1\/13? (a) -3\/5 (b) z (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4317 + 3145 = 6*p - 11702. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*f + 37621 = 36703 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - 9\/4)*4. Suppose 0*r - h*r + 46 = -5*i, 4*i = r - 6. List the prime factors of r.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - u + 164 = 0, -4*u = -4*v - 2*u + 120. Let s = v - 15. Let f = 23 - s. What is f rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(66)\/(sqrt(18)\/sqrt(3)) + 1*sqrt(1331) + 1*(4*sqrt(1078))\/sqrt(2).\nAnswer: 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 194\/13 - 2393\/156. Which is the fourth biggest value? (a) f (b) 0 (c) -0.1 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of d**5\/60 - 4*d**2. Let m(r) = -r**2 + 3. Suppose -4*l = -l - 6. Let v(h) = 1. Let p(k) = l*m(k) - 6*v(k). Give x(p(w)).\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0305447706 rounded to four decimal places?\nAnswer: 0.0305","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (-3 + (4 - -5) - -3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 274 + 0.05895.\nAnswer: 274.05895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147*w - 15122 + 39230 = 0. Solve -43*k + 2*k - w = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-85)\/((-15300)\/40))\/(23 - 18)?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u - 383712 = 3*x, -124268 + 47508 = -2*u + 5*x. List the prime factors of u.\nAnswer: 2, 3, 5, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3507\/835*10\/(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4\/2 + 7*g**3 + 16*g**2 - 64*g.\nAnswer: g*(g - 2)*(g + 8)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**5\/4 + j**4\/4 - 3*j**3\/4 - j**2\/4 + j\/2 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 2440724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -403*w + 371*w = -352. What is the remainder when 89 is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**3 + 0*h**3 - h**3 + (5*h**3 + 5*h**3 - 3*h**3)*(-3 + 3 + 1 + (-4 + 3 + 2)*(0 + 1 + 1))*(3 - 1 + 0).\nAnswer: 41*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -2\/15, 10\/39?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2. Let k(q) = -11*q. What is -k(g) + 2*y(g)?\nAnswer: -2*g**2 + 11*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -162*j**3*m*u**2 - 2*j**3*u**2 + j**3*u - 69*j**2*m*u**2 - 95*j**2*u**2 + 30*j*u**2 wrt m.\nAnswer: -162*j**3*u**2 - 69*j**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3, -67, -181, -351, -583, -883?\n\"Answer: -i**3 - 19*i**2 + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.6519*-0.5.\nAnswer: -0.82595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1510 - 1999 - 1361 + 891 + 57)*(3*a + 0*a + a).\nAnswer: -15688*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1109, -2214, -3319, -4424?\n\"Answer: -1105*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**5 - r**5 - 3*r**5 + 0*r**5 + r**5 + 0*r**5 + (-2*r**2 + 1 - 1)*(1 + r**3 - 1) + 2*r**5 + 2*r**2 - 2*r**2 + 165*r**2 - 165*r**2 - 97*r**5.\nAnswer: -98*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 90824 (base 11) to base 2\nAnswer: 100000011010011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.009 - 40.009. Let d = -40.42 - j. Let x = 6.42 + d. What is the third biggest value in -3\/7, -4\/3, x?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 430.\nAnswer: 3\/430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h. Let f(l) be the third derivative of -64*l**2 + 0*l + 1\/12*l**4 - 1\/6*l**3 + 1. What is 3*f(x) + 3*z(x)?\nAnswer: 3*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 623*a + 481*a - 3398 + 14810 = -11772 for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 21*z - 84. Let p be m(4). Let j(q) be the first derivative of p*q + 3 + 1\/3*q**3 + 0*q**2 - 5\/12*q**6 - 9\/8*q**4 + 6\/5*q**5. Factor j(n).\nAnswer: -n**2*(n - 1)**2*(5*n - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-10) + (-80)\/(-200). Let c(b) be the second derivative of p + 0*b**2 + 1\/6*b**3 + 3*b - 1\/3*b**4. Find the second derivative of c(k) wrt k.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/(-1479) + 738073\/1607673.\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -8640*y - 320. Let n(u) = -163*u - 6. Let a(z) = -3*m(z) + 160*n(z). Let i(r) = -2*r. Give a(i(k)).\nAnswer: 320*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4292 divided by 2146\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a century in years?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in -0.4, 4, 22?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -164 + 163.99999558. Round s to seven decimal places.\nAnswer: -0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1095.\nAnswer: 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of -5\/27*m**3 + 3*m - 2\/9*m**2 - 1\/27*m**4 + 0. Factor r(n).\nAnswer: -2*(n + 2)*(2*n + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230052331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 greater than or equal to 148?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 87882, 86433, 84984, 83535, 82086?\nAnswer: 80637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6 - (2 + 1)) + -2. Suppose p - 4 = 3*f. Suppose -5*z - 4*m = 26, -2*m = -4*m - 8. Which is the second biggest value? (a) z (b) 5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13566627 to the power of 1\/2, to the nearest integer?\nAnswer: 3683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 26 = -2. Let a = b + 6. What is the remainder when a is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17 and 799.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.3 (b) -0.4 (c) 13\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(95) - (sqrt(95) - sqrt(95)*1 - sqrt(95) - sqrt(95)))*6 + (sqrt(95)*-2 + sqrt(95))*-3)\/(6*1*sqrt(5) + sqrt(5) + sqrt(225)\/sqrt(5)).\nAnswer: 1 + 21*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 3*y - 12. Suppose -t + 13 = 2*x, -4*t = -2*x + y*x - 24. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4985 is divided by 687.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24376441*l**6 - 5*l**4 + 381130439*l**2 wrt l.\nAnswer: 2925172920*l**3 - 120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22531402 (base 6) to base 16.\nAnswer: a9ffa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 11*f. Let h(o) = -1678*o**2 - 799*o. Calculate h(j(z)).\nAnswer: -203038*z**2 - 8789*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*r + 18. Let z = 142 - 140. Sort 5, z, r in increasing order.\nAnswer: z, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*n**4 + 0*n + 0*n + (-1341*n + 1341*n - 68*n**2)*(-2*n**2 + n**2 - n**2) to the form j*n**3 + a*n + b*n**4 + k + v*n**2 and give b.\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -25175244 divided by -4?\nAnswer: 6293811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1131 - -682. Let j = -451 - l. Which is bigger: j or -11?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -453839, -907682, -1361525?\n\"Answer: -453843*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.8 and -223?\nAnswer: 847.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 162 - 82. Let n(r) = -16*r - 65. Let s be n(-10). Let f = s - x. What is the remainder when 57 is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2837 and 5.\nAnswer: -1.4185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**8)\/q**(2\/37))**(-1\/3)*(q**2*q**(2\/13))**(-6\/11) assuming q is positive.\nAnswer: q**(-65981\/15873)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5003 is divided by 129?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 - -26. Let z = -1.00011 + q. Round z to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 1:32 PM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 551 and 2241439.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qi when two letters picked without replacement from tqtzzhttzithh.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-44)\/154 + 36\/(-70)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 661 - 658. Let k = -620 - -619. What is the third biggest value in -2\/13, -3\/5, h, k?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 40 = 3*z, 2*f = -0*z + z - 4. Let o be 53\/4 + (-3)\/z. Let h = o + -7. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dln when three letters picked without replacement from dtkffdlddnndlddlf.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4.47 times 0.04\nAnswer: -0.1788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 13*t**2 + 5*t - 16. Let j be h(13). What is the highest common factor of 7 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 225 and 21825.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 93604806 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 84*l**4 + 30*l**3 + l**2 + 6478*l?\nAnswer: 1008*l**2 + 180*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 879 - 472. List the prime factors of t.\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.215*66\nAnswer: -80.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 3*p - 0 - 3, -m + 7 = -p. What is the second derivative of m*k + 10*k**5 - 136 + 15*k**4 + 139 - 13*k**4 wrt k?\nAnswer: 200*k**3 + 24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9840\/(-2214))\/((-8)\/6).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (162\/30 - -6) + 12\/(-1)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -272*k = 2*r - 268*k - 18, -5*r + 3*k - 3 = -3*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -185357108 take away -122.5?\nAnswer: -185356985.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6378*i + 1144*i = 5755*i - 2278*i - 1019187 for i.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 - 7*o - 9061 + 4519 + 4514)*(-o - 7 + 7).\nAnswer: o**3 + 7*o**2 + 28*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 55 - 771. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 199*i**3 + 8*i**2 - 8*i + 5. Let x(j) = -201*j**3 - 10*j**2 + 11*j - 6. Give 6*f(t) + 5*x(t).\nAnswer: 189*t**3 - 2*t**2 + 7*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -10. Factor 2*g**v - 1 + 3*g**2 + 4*g**3 + 1 + 3*g**4.\nAnswer: 3*g**2*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 272*t**4 + 12*t*y**2 + 3924*y**2 - 2*y + 1 wrt t?\nAnswer: 1088*t**3 + 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6536 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 5 + 1 + 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.169 minus 6?\nAnswer: -5.831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 8:27 PM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 13 = 3*c - 3, 0 = 5*c - 4*t + 10. Let v be 1*7\/(c - 3). Let f = 10 - v. What is the greatest common divisor of f and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + 4 + -3 + -107 - (5 - (-3 - -3)).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from cmnmmmmnmmccnm.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 7*y - 2. Let j be o(-8). Solve 3*l + 15 = c, l - j*l = 2*c + 14 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2017750095 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19477 - 19476. Let x(w) = -198*w + 204. Determine x(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 3. Let x be (u - 4\/(-6))*3. What is the nearest to x in -1, -2\/5, -1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*x = 12*x - 318 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -589359 or -589399?\nAnswer: -589359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5*n = 68016, 3*g - 3*n + n + 204009 = 0. Let b be 2\/((-6)\/525)*(g - -1). Round b to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 95118*f + 2948675. What is w(-31)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.03577381 + 0.4\nAnswer: 0.43577381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2783 = -2*p + 22564, 4*p - 39541 = 3*d. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/w**(13\/3)*w*w)\/w*w\/(w*(w**9\/w*w)\/w))\/(w**2)**(-36) assuming w is positive.\nAnswer: w**(188\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 29371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**5)\/(c*c**(-1\/9)))\/(c**(1\/3)\/c*c**(5\/6))*(c**(4\/7)*c*c**(2\/23))\/(c**(-3)\/c**(-2\/15)) assuming c is positive.\nAnswer: c**(137213\/14490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -4*n**3 - 2. Let w(r) = -11*r**3 - r**2 + 2*r - 5. Let b(o) = -3*w(o) + 8*x(o). Let l = -2 + -3. Let p be 1\/(-2)*-2 + l. Calculate b(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6156.24904 to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 114 + -54. Is o a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(sqrt(300)*-5 + sqrt(300)).\nAnswer: -sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.7592848 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1451 - 1451. Which is the third smallest value? (a) 2\/5 (b) p (c) 0.5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19*2 + 159\/689*65.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*c - 524167 + 1990998 = -63*c. What is the remainder when c is divided by 123?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 36*d + 39*d = 1, -5*t = -3*d - 19 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10585578?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2962 is divided by 57?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24272 and 888.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y + 1. Let f = -67 - -68. Let x be h(f). Let n be (8\/20 + x)*(2 + 3). Solve n*s - 9 = -3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/35)\/((-16)\/28).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 108868786 to the nearest integer?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15079496?\nAnswer: 2, 109, 17293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 8*v + 12. Let f be h(9). Let z be 2\/(-6) + 1\/f. Let p = 41\/531 + 2\/59. Which is smaller: p or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 2*l - 4. Let i be h(-3). Let y = -176 + 194. Suppose y*p = 5*p - 4*p. Which is the fourth biggest value? (a) 0.2 (b) p (c) -10 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 93123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 16. Let l = -12 + t. Solve 5*w + 15 = 0, l*u - 3*w - 4 = 8*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 438, 630, 836, 1062, 1314?\n\"Answer: f**3 + f**2 + 182*f + 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 32679 to the power of 1\/2, to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/20)\/(3\/(-3)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -4*m**3\/3 + 5*m**2\/2 - 4*m - 37. Let l(x) = -5*x**2 + 6*x - 5. Determine -5*l(v) + 6*y(v).\nAnswer: v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 870471 and 2022.\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -5*m - 15, -2*d + 5*m = -6 - 9. Suppose o - 4 - 6 = d. Let z(w) = -w**3 + 10*w**2 + 4*w - 9. What are the prime factors of z(o)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3373, -2, 1 in descending order.\nAnswer: 3373, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 8*y**2 + 9*y + 1. Let u be o(-9). Suppose 5 = d + u. Sort 3, -2, d in descending order.\nAnswer: d, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142*d = 169*d - 378. Solve -d*u - 26 = -27*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -116*8\/1872 + 518\/(-546) + 1\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 142*n**2 - 115*n + 495. List the prime factors of l(4).\nAnswer: 3, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3\/23 - 3912344*h**2\/23 - 1913304446792*h\/23.\nAnswer: -2*h*(h + 978086)**2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*f - 2 + f + 1 + (1 + 2 - 5)*(-3 - f + 3) - 2*f - 2*f + f + (-f - 4*f + 3*f)*(-6 + 2 + 3).\nAnswer: -4*f - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100001101 + -1101?\nAnswer: -10100011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from chgtd. Give prob of picking 1 d, 1 h, and 1 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/5323 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of 0 + 0*u + 0*u**6 + 1\/14*u**8 - 4\/15*u**5 + 0*u**3 - 29*u**2 + 0*u**4 + 0*u**7. What is the third derivative of y(j) wrt j?\nAnswer: 1440*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 5*r - 7. Let g(a) = -a + 2. Suppose b = -4*b - 45. Let m(u) = b*g(u) - 2*w(u). Let l(o) = o + 1. Determine -3*l(d) - m(d).\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -49, -88, -141, -208, -289, -384?\nAnswer: -493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7374 and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5003.\nAnswer: 5003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -73416 - -73415. Let f = -0.1 - -0.4. What is the nearest to -5 in 1\/11, q, f?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of b**4\/12 - b**2. Let n(l) = -l - 4. Let c be n(-7). Let u(d) = c*d - 2*d + 4*d - 4*d. Give z(u(w)).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 + 22704750*b - 22704745.\nAnswer: -5*(b - 4540949)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 287173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -76.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2257, -4560, -6887, -9238?\nAnswer: -11613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001378 to six dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 77355.7 kilograms?\nAnswer: 77355700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 468 is divided by 121?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + 4*b - 21. Let s(l) = -l**2 + 7*l - 17. Let i be s(5). Let r be o(i). Solve f = -r*f - 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*s = -5488. Suppose 442 - s = -3*l. Suppose 0 = 5*j - 3*q - 276, l = 4*j + 4*q + 102. What is the greatest common factor of 9 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 3*l**2 + 2*l + 2. Let g be n(-2). Let j = -1.18 + 0.18. Let z = 0.1 + 0. What is the biggest value in j, z, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1268 and 270718?\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -6*z - 3. Let j(u) = 5*u + 3. Suppose 0 = -6*x + 2*x - 160. Let m(g) = 4*g + 22. Let h be m(-17). Let s = h - x. Give s*k(f) - 7*j(f).\nAnswer: f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/5)\/(8\/20). Suppose -2*x + y*x = -4. Let q be (1\/(-2))\/(x\/48). Calculate the highest common divisor of 12 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 5*d - 31 + 32 - d. Calculate o(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 551*f**3 - 7 + 3 + 31*f**2 - 91*f**2 + 32*f**2 + 26*f**2 to the form a*f + b*f**2 + y*f**3 + j and give y.\nAnswer: 551","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -892013311 by 46948069.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 49 + -14 + 1*-2. Let p = -4 + y. Let f = -26 + p. Solve -3*v + 2*k + 11 = -3, 13 = 4*v + f*k for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10*99\/110*(-2)\/108\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3030086 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 12:15 AM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 253, 239, 225, 211?\nAnswer: 197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1*-3)\/(-2 - 4\/(-8)). Suppose 3*q = 5*a - g, 2*q = -4*a - 4 - 12. Let w(r) = 2*r**2 + 3*r. Let i(t) = -2*t**2 - 3*t. Calculate q*w(u) - 3*i(u).\nAnswer: -2*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -47170000 rounded to the nearest 1000000?\nAnswer: -47000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggglgggglglggg. Give prob of picking 2 l and 1 g.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 0, -2\/9, -15, 1\/41?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 124800 by -25.\nAnswer: -4992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -4823*g + 310*g**2 + 4823*g. Is 62 a factor of h(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -253654.75 rounded to the nearest ten thousand?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8992419*a**3 + 4*a + 16520112?\nAnswer: -53954514*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -86 + 161. Let u = -75 + z. Let j(d) = -8*d + 65. Calculate the remainder when j(u) is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + c**2 + 7. Let w be p(0). Suppose -3*g + 3*q = -g - w, 3*g + 3*q - 3 = 0. Find the third derivative of g*x**4 + x**2 - 2*x**4 + 2*x**4 wrt x.\nAnswer: 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 15. Let i = -0.449 - -0.193. Let m = 0.134 - i. What is the third smallest value in m, -3\/5, r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.05 (b) 3 (c) -2\/11 (d) 382 (e) 3.31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((35\/(-25))\/(4\/90))\/(13\/(-364)). Which is smaller: 883 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 2*u**2 - 19376*u - 388320 = 0.\nAnswer: -20, 9708","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 74 = 3*l - 25, -4*d = -2*l - 108. Let u = -7 + 10. Suppose u*s - d = -8. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of -d**4\/2 + 2*d**3\/3 - 121. Let m(n) be the second derivative of n**5\/10 - n**4\/6 - 4*n. Calculate -6*m(g) - 5*p(g).\nAnswer: -2*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*m + 469647 - 471807 = 0 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 2*l**2 - 4*l - 1. Let t be z(-3). Let j(o) = -t + 1 + 7*o - 3 - o**2. Calculate the least common multiple of j(5) and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - 26. Let d(q) = q + 13. What is the units digit of d(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 3*j + 38 - 5, -j = -2*h + 10. Solve -h*k + 6*k - 1 = 2*s, -2*k + 5*s = 20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 409080 divided by 11688\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17)*1*-6)**2*3.\nAnswer: 1836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of -h**5\/60 + h**4\/4 + 71*h**3\/6 + 4*h**2 + 26. Let p be l(-6). Sort p, 20, -4 in decreasing order.\nAnswer: 20, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 minus -38?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 11. Let c = b + -1.2. Which is smaller: c or 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - k - 4*k)*(2*k - 6*k + 0*k + (-2 + 3 + 1)*(-k + 5*k - k))*(1632 - 7*k + 2*k - 1650)*(3 + 1 - 1).\nAnswer: 90*k**3 + 324*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.13, 2\/3, 16600 in increasing order.\nAnswer: -0.13, 2\/3, 16600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -8. Let s = 17 + -21. Let i be (s + -1)*(-3)\/t. Let x(k) = -k**2 + 4*k + 3. Determine x(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 5 + 2*w**2 + 6*w**2 - w**2. Let j(i) be the first derivative of -4*i**3\/3 - 3*i + 1. Let d(u) = 5*j(u) + 3*p(u). Let f(n) = -n. Calculate f(d(r)).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q + 5. Let y be o(4). Let n = -5 + 6. Suppose 2*m - y = -n. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of p**4 + 30*p**3 + 3774*p.\nAnswer: 12*p**2 + 180*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 3)*((g - 3 + 3)*(4 - 3 - 3) + 3*g - 3*g - 5*g)*(0 - 1 + 0).\nAnswer: -14*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -4.3 and -3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8157640?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -355, 0.079, 2\/3, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 820 and 1002143648.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 6*o - 1. Determine p(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 180?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a millisecond in microseconds?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 + -26. Let a be (o - 2)\/(6\/8). Let h(x) = -x - 1. Determine h(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1297 - 1285) + (22 - (-3 + (5 - 3)))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -726\/13 > -627?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -4) + -2 - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 11*j**3 - j**2 - j + 1. Let u(r) = -9*r**3 + 2*r**2 - r + 1. Let z be u(-2). Let x = 1462 + -1378. Let l = x - z. Calculate n(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -7. Suppose 2*y = -n*u + 63, -5 = u - 4*y - 0*y. Let a be (u - 0) + 2\/(-1). What is the greatest common divisor of 99 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 888 and 821992?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -29 divided by 1\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 5*u - 2. Let k be y(-6). Suppose 7*w - k*w = -p, -3*w + 3*p = -12. Let i be 3\/6*(w + -1). Solve n + 2*d + 1 = i, -2*n + 0*n - d - 8 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1))**(4\/5))**(1\/13)*d**(4\/5)*d**(2\/5)*(d*d*d\/d**3*d*d*d)\/d**3 assuming d is positive.\nAnswer: d**(74\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 t when three letters picked without replacement from yytpypyyypyppp.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p - 12 = 10. Solve -y + 20 = 3*n, 5*y - 13 = p*n + 2 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16658 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 h when two letters picked without replacement from gkhohhhggh.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) -4\/79 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 6*g - 2. Let v(w) = 6*w**4 + w**3 - 4*w**2 - 29*w + 16. Let b(j) = -j**4 + j**3 + j**2 + j. Let u(x) = g*v(x) - 5*b(x). Factor u(a).\nAnswer: -(a - 1)**2*(a + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 4*p - 22, 2*p = 5*i + 3*p - 15 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6438 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 4*f - 58. Let u = 173 + -163. What is the greatest common divisor of f and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1081128 and 5135358.\nAnswer: 20541432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 402 divided by 7419\nAnswer: 134\/2473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2199123581 to the power of 1\/3, to the nearest integer?\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 4107209716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/56)\/((-48)\/(-192))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*c**2 + 142*c**2 - 39*c**2 - 44*c**2 - 45*c**2.\nAnswer: -26*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213*w + 3345980 = 235*w. Round w to the nearest 1000.\nAnswer: 152000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222022 - 11?\nAnswer: -222110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 978555\/8 + -122316. Suppose 75\/8*y**2 + 0 - g*y**3 + 9\/4*y = 0. Calculate y.\nAnswer: -2\/9, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3*k**2 + 14*k + 10. Suppose -w = -3*i + 24, 1744 = 2*i - 2*w + 1720. Determine g(i).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -201*q + 1211. Give j(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lzht when four letters picked without replacement from {s: 3, r: 1, t: 1, l: 3, h: 2, z: 2}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 711896 a multiple of 175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 2*v + 17, 2*v - 2*r = -0*r - 12 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1615104852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3*j**2 - 72*j + 2. Let f be t(-24). Solve 0 = 2*m + 5*u - 16, -3*m + 0*m + 13 = f*u for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3700*k + 35787 - 131987 for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 234 = -2*b. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -328627844*q**3 + 212125414 wrt q.\nAnswer: -985883532*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10044 and 19086111.\nAnswer: 76344444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -78?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20203 and 445?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4 = 0, 0*z - 2*z = j - 630. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -299.94 - -300. Let n be (6 - (-54)\/6)*(-2)\/14. Let r = n + 53\/28. What is the closest to r in -0.5, k, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**2 + 378369 - 94590 - 94595 - 94588 - 94596.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2050319 take away -3?\nAnswer: 2050322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.098 in 5, -4\/81, -2.2?\nAnswer: -4\/81","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-112)\/(-35) + -4)\/((72\/30)\/(-6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13414 is divided by 4426?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 50816064048.185 and 0.2?\nAnswer: 50816064047.985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2 + sqrt(2057) + sqrt(2057) + -1 + sqrt(2057)).\nAnswer: 3 + 99*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 47271.73 litres in millilitres?\nAnswer: 47271730","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -111003311 (base 4) in base 13?\nAnswer: -30356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 11, 0, 1 in ascending order.\nAnswer: -1, 0, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jbqtztj. Give prob of picking 2 t.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4811852, 9623719, 14435584, 19247447, 24059308, 28871167, 33683024?\nAnswer: 38494879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 152944040 and 1146.\nAnswer: 152945186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76398*2.2.\nAnswer: -168075.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10878*q**3 - q**2 - 2373*q wrt q.\nAnswer: -65268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*w**3 - 14*w**3 - 3*w**3 + 5*w**3 + 4*w**2.\nAnswer: -27*w**3 + 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 4, -14\/9, 1\/8.\nAnswer: -2, -14\/9, 1\/8, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1283 is divided by 180.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -587*r + 1. Let d(z) = -2346*z + 4. Let u(q) = -d(q) + 4*l(q). Let w(o) be the third derivative of o**5\/6 + o**2. Give u(w(s)).\nAnswer: -20*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 1, -2*s = -5*w + 12777. Let i = w + -1734. Suppose 10*m - i = 9*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 249, 285, 331, 387, 453, 529?\nAnswer: 615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199*k - 12 = 204*k - 3*g + 1, 25*k + 3*g + 109 = 7*g for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-6)*81\/135?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 144071936 and 256?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*a + 9*a**2 - 27*a)*((2*a - a + 0*a)*(-2*a - 2 + 2) - 2*a**2 + 0*a + 0*a) - 3*a**4 - 5*a**3 + 5*a**3.\nAnswer: -39*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*v, 5*v + 5 = 4*x + x. Suppose -x*m + 4 = -3*m. Solve i + m*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*j + 18*j - 3267 = -9787. Put -9, j, 3 in decreasing order.\nAnswer: j, 3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*o - 231*o**2 + 34*o.\nAnswer: -231*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.025+-22059194062\nAnswer: -22059194062.025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + o**2 - o - 1. Suppose 0 = 16*n - 23*n. Determine c(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2350259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-19))**48*(r\/(r\/(r*r**(3\/10))))**(3\/5) assuming r is positive.\nAnswer: r**(-45561\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/2069705 + -4956943867\/405662180. Let h = j - 3\/98. What is the common denominator of -69\/16 and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooomwwowmomkwok. Give prob of picking 2 m.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63 - -66) + (-6 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 26012 divided by 42\nAnswer: 1858\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = u - 53, -13*u + 10*u + 103 = 10*s - 6*s. Let z(b) = 6*b - 1. Let d be z(1). Let n = d + 3. Calculate the remainder when s is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1811419427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -62\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3966768474?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10955366?\nAnswer: 2, 89, 61547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2029 is divided by 185?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**4 + 3*j**3 - 3*j**3)*(-j + j - 4*j) + (-2 + 0 - 42)*(2*j**5 + 5*j**3 - 5*j**3).\nAnswer: -92*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2120, 246, -5, 2\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/3417 and 1\/68?\nAnswer: 13668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 52.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.216 + 444886.\nAnswer: 444886.216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 56*c = -51*c + 20, -12 = 2*c for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) + 3*sqrt(432) + -5 + sqrt(432))*6)**2.\nAnswer: -21600*sqrt(3) + 389700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89d (base 15) to base 9.\nAnswer: 2604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + v**2 + v + 1. Let n(j) = 9*j**3 - 7*j**2 - 8*j - 7. Let u(h) = -14*c(h) - 2*n(h). What is the second derivative of u(i) wrt i?\nAnswer: -24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2.41 (b) -2\/9 (c) 2239\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**5 - 41090*x**4 - 282066048*x**3 - 651508702208*x**2 - 31264855064576*x - 30613628387328 = 0 for x.\nAnswer: -6832, -48, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -86*s - 218. Calculate r(-3).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 101*h**2. Let b(s) = -25*s. What is t(b(j))?\nAnswer: 63125*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9022 - -12637. Calculate the highest common divisor of 15 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -4*v - 47. Let p be c(-12). Let l = 400 + -396. Solve -o + p = l for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 8*l**2 - 418*l + 16. What is the remainder when r(53) is divided by 73?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) - sqrt(48))\/sqrt(4) - (-2 + sqrt(432)))**2.\nAnswer: -52*sqrt(3) + 511","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3206, 25660, 86600, 205268, 400906, 692756, 1100060, 1642060?\nAnswer: 2337998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 149254 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of -v**4\/6 - 183*v**2 - 9. Let l(z) = -270*z. Calculate p(l(q)).\nAnswer: 1080*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1331421 + -15?\nAnswer: -1331440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - (3 - 4 - 3)) + 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.8 - 4.8000101. Round d to six dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 12:00 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -163 - -159. Does -1.8 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 7*b - 1 + 25 = 0, 0*b + 4*b = 4*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that h**4 + 494718*h**3 + 61164206672*h**2 - 5508699443232*h + 10772738102016 = 0.\nAnswer: -247404, 2, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002322 rounded to five decimal places?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, 51, 44, 35?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d - 10*d - 7*d to w*d + m and give w.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12333 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*5*(sqrt(171)\/(sqrt(9) - -3*sqrt(576)) + sqrt(171)\/(sqrt(45)\/sqrt(5)) + 3).\nAnswer: -26*sqrt(19)\/5 - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92577253 is divided by 241?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z - 1. Let b be (-4)\/7*(-42)\/12. Suppose -d = b*d + 18. Give t(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 32646.94cm?\nAnswer: 326469.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zuuuznnn. What is prob of sequence zu?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 10:07 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -5\/13, -2, -1\/3, -2\/29, -0.17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 26077 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*l**3*t - 127*l**2*t + 2*l*t + 13*l - 80764*t with respect to l.\nAnswer: -6*l**2*t - 254*l*t + 2*t + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-4))\/((-5)\/(-240)*6). Let h be (1 - s) + (-6)\/(-4)*-2. Is 13 a factor of -3 + h + 1*-3 + 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -88*j**3 + j + 88*j**3 - 2*j**4 - 3 + 3 - 2*j**4 + (j + 3 - 3)*(j - j - 2*j**3) - j**4 + 2*j**4 - 2*j**4.\nAnswer: -7*j**4 + j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h**2 + 49071*h - 12267 = 0. Calculate h.\nAnswer: 1\/4, 4089","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00355746 to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2419*b**2 + 11 + 426*b**2 - 2878*b**2.\nAnswer: -33*b**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10621324 (base 8) in base 14?\nAnswer: -43d24c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u**2 + 4*u**5 - 4*u**3 - 5*u**3 + 8*u**2 + 5*u**3 + u**4 = 0. Calculate u.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.9836 + -5.9836. Which is the closest to 1? (a) o (b) 0.1 (c) 21 (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 4, u: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4636 + -4613. What is the remainder when o is divided by 1 + -2 + 2 - -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*g**2 - 4*g**2 + 4 - 2 as o*g**2 + u + p*g and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhyyyyyyyy. What is prob of sequence hyy?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -779779066 + 547839066. What is i rounded to the nearest one million?\nAnswer: -232000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1023 and 186?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3080)\/14)\/11*6\/(-15).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -2045*y**2\/2 + 757*y - 1786. Differentiate v(r) wrt r.\nAnswer: -2045","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1520, -6303, -14274, -25433, -39780, -57315, -78038?\nAnswer: -101949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 7 - 6 + 20 - 54541*a.\nAnswer: -54541*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-7))\/((-1)\/1). Is 0 smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 + 25. Suppose -l*w + 3*d - 29 = 0, 0*w - 3*d = 3*w + 6. List the prime factors of (-3801)\/(-49) - (-4)\/w.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of v**7\/560 + v**6\/160 + v**5\/160 + 234*v**2. Let c(w) = 0. Calculate w.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 1692*a**3 - 32147*a**2 - 10*a - 167. Give u(19).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**2 + 28*m + 19. Calculate the remainder when 24 is divided by j(14).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u - 1. Determine t(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 7 - 10. Solve -4*i + 5*n = 28, -h = -5*i + n - 17 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 99 + -599\/6. Let h be (53 - 0)*(-5647)\/(-18). Let l = -16632 + h. Find the common denominator of n and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2420 - 72*y + 2400 + 2*y**3 - 5*y**2 + 57*y in the form i*y + v*y**3 + t + f*y**2 and give t.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2441684?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2143980193?\nAnswer: 2143980193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) -3 (c) 0.3 (d) -133\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -389\/18 + 3107\/180. Calculate the common denominator of (1\/((-5)\/(-13)))\/((-12)\/30) and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1182 - 1175. Solve 3*q - 2 = x for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 39.65 and 43.\nAnswer: 1704.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1216) + -1 - (1*sqrt(1216) + -2) - (-4 + sqrt(1216) + 1 - (-2*sqrt(1216) + 5 + sqrt(1216) + sqrt(1216))))**2.\nAnswer: -576*sqrt(19) + 19537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -13. Is g\/(-12) - 1185\/(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15385 and 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 3 - 4 + 3 - 10*u.\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 519 = -15*p - 16*p + 178 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/5*136)\/((-82)\/1845) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 4306 - 2225. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19*n + 48*n + 103*n)*(-2 + 2 - 3)*(-12 - 1 + 3) in the form s + q*n and give q.\nAnswer: 3960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 2:35 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of 0*r + 0 + 13\/60*r**5 + 0*r**4 + 1\/3*r**3 - 7*r**2. What is the derivative of m(a) wrt a?\nAnswer: 26*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -658*t**2 - 1310255 + 988430 + 2088966*t - 3428*t**2 + 2*t**3 - 1763057.\nAnswer: 2*(t - 1021)**2*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 11) to base 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101110000 + -100?\nAnswer: 101101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*a = 148*a. Suppose 0 = -19*c + 17*c + 4. Solve a = 3*s - c*s + 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4150 divided by 106\nAnswer: 2075\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309086578 is divided by 9582.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160\/12 - ((-48)\/72 + 1 + (-3)\/3).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -12. What is the units digit of 9*9\/g*1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3*n**2 + 5*n + 2. Let v be s(-2). Solve y + g = 0, g + 5 - 15 = v*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.01356 kilograms in tonnes?\nAnswer: 0.00201356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000045631 to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1511.3488676 and 0.1979?\nAnswer: 1511.1509676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5*a**3 - 5)*(-4*a + 3*a - a)*(-10 - 37 - 110).\nAnswer: -1570*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 51\/5 of a millimeter?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -3, 8\/3, 57.31, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -51466.3 and 49917818.\nAnswer: 49866351.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2372*t - 6 + 6 - 5311*t + 2596*t to g*t + i and give g.\nAnswer: -5087","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -3*p, -3*i + 2*p - p = -16. Suppose -x - 2*x = i. What is the tens digit of ((-1)\/x)\/(3\/84)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1232 + 482. Let r be (-1600)\/p - 4\/30. What is the closest to 1\/7 in -0.5, 0.5, r?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 15*n + 16. Calculate b(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (463165*b + 2 - 462422*b - 5)*(-3*b + 0*b + 2*b) to n + z*b**2 + f*b and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12 + 98)*(-2)\/4. Sort 4, s, 0.\nAnswer: s, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 21 = -3*w, 0 = -3*b + 2*b - 4*w + 11. Solve 0 = b*x - 7*x + 12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**2 - 2*o - 3. Let c be g(-2). What are the prime factors of (-37)\/(-3) + (-3)\/c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 5*q**2 + 6. Let a be x(5). Let c = 7 - a. Solve -4*r - 7 - c = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3522.984 and 0.11.\nAnswer: -387.52824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 4*i + 5*u, -20 = -5*i - 0*i - 5*u for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*n**3 - 6*n**3 + 17*n**3)*(-2*n**2 + 0*n + 0*n) + (3*n**3 + 3*n**3 - 4*n**3)*(2*n**2 + 0 + 8 - 3*n**2).\nAnswer: -6*n**5 + 16*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 823513 and 4?\nAnswer: 3294052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 491, -3, 0, 8, -1 in increasing order.\nAnswer: -3, -1, 0, 1, 8, 491","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 15*g**2 + 2*g + 1. Let p be x(-1). Suppose 19*q = p*q. Differentiate 2 - 3*r**2 + q*r**2 - r**2 wrt r.\nAnswer: -8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 5*p + 6. Give h(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -43.0625395 and 4?\nAnswer: -172.250158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*n = -5*i + 3, 4*n = 3*i + 3. Suppose 2*p = -i*p + 60. Is 6 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5772 is divided by 958.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 866001041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 3\/14 (c) 0 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 915195 and 2135455.\nAnswer: 6406365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 244199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of z**4 + 32*z. Let t(i) = 9*i - 4. Let o(b) = 6*b - 6. Let a(s) = 2*o(s) - 3*t(s). Determine k(a(g)).\nAnswer: 2700*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105597190?\nAnswer: 2, 5, 223, 47353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(8\/20 - 1\/5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 m when three letters picked without replacement from {m: 1, e: 3, d: 5}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 8, y: 2}. What is prob of picking 1 p and 1 y?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a373 (base 12) to base 16.\nAnswer: -4587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7773 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**3 - 5*b**2 - 5*b + 4. Let n(f) be the first derivative of -2*f**2 - 4\/3*f**3 + 1\/2*f**4 + 3*f - 7. Determine -5*n(i) + 4*o(i).\nAnswer: -2*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -177945567 and 0.06?\nAnswer: -10676734.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*y = 107*y - 4. Let o be y*(1 + (-2 - -2)). Is o equal to -13\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v - 9 = 16*v. What is the tens digit of (-3 + 7)*32 - v\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/524336 and 17\/128.\nAnswer: 4194688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*u**4 - 6*u**3 - 2733*u - 3?\nAnswer: -192*u**2 - 36*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -s**3\/6 + 5*s. Suppose -m + 5*h = 8, m - 5*h + 2 = -3*m. Let u(y) = -9*y**2 + 3*y**2 + m*y**2 + y**2. What is c(u(w))?\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.457? (a) -3 (b) 5 (c) -2 (d) -33 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + r - 3. Let q be b(0). Let n be (-2)\/q + (-56)\/(-6). Suppose -14*t + n*t = -12. Solve t*l + 25 = 2*u, 0*u = 4*u + l - 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48 + -45. Which is the closest to -0.1? (a) 4 (b) v (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 21*c**2 + 39*c + 23. Let a be s(-19). Solve 5*y = -a*g - 9, 4*y + 20 = -0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 42, 3, 4, 160 in descending order.\nAnswer: 160, 42, 10, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 15*d**2 + 20*d - 4. Give z(-15).\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t. Let x(h) = -3*h + 8. Let j(v) = 4*k(v) + x(v). Let y be j(-8). Sort y, 3, -3, -5.\nAnswer: -5, -3, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 6 + 5*p + 7*p - 2 + p. Let r be k(4). Find the first derivative of 103*z**4 - r*z**4 + 2 - 50*z**4 wrt z.\nAnswer: -12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + 1 + (9 - 4). Suppose -t + 32 = q*b, 2*b - 5*t = -b + 20. Let n = 6 + b. Does 9 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 795023 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5375*v + 5378*v + 12 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + -4 + 2 + 11 + (-2 - 16).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1270274 is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*f - 12. Let j be 76\/18 - f\/((-27)\/6). Let q = 47.2 + -47.4. Which is the second biggest value? (a) q (b) 2\/13 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2178\/528)\/((-3)\/8).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + y + 0 - 12*y**2 + 15*y**2 - 1. Let h(z) = -1. Let r(v) = -2*h(v) + x(v). Calculate r(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 63133*t**2. Let k(f) = 2*f**2. Calculate x(k(a)).\nAnswer: 252532*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 (base 10) in base 4?\nAnswer: -312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*a**3 + 0*a + 15*a**3 + 5 + 19*a**3 + 0*a - 86*a**3.\nAnswer: 12*a**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**4 - 1080*o**3 + 4284*o**2 - 4272*o.\nAnswer: 3*o*(o - 356)*(o - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of g**5\/120 - g**4\/3 - g**3\/2 - 7*g**2. Let k(h) be the first derivative of r(h). Calculate k(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 383, 587, 613, 461?\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.04 + 1.96. Let u = -260\/47 - -3167\/564. Which is the nearest to 0? (a) u (b) 5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20179089263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -286 (base 10) in base 4?\nAnswer: -10132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(88)*1)\/(sqrt(2450)*2))**2.\nAnswer: 11\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -27. Suppose 11*y - 6*y = x. Let o be (y\/(-114))\/(2\/(-6)). Which is the closest to 0.1? (a) o (b) 3\/5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**3 - 16*m**2 - 98*m - 1. Determine x(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78039 is divided by 75734.\nAnswer: 2305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15876?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (15 - 66) + 13 - -7?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11876\/17 - -12291541\/17595. Let f = i + 1539094\/7245. Let t = 213 - f. Calculate the common denominator of -16\/11 and t.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30 + 204?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.525 (b) -7 (c) 27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (76\/(-14079))\/(992\/19344)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 3:12 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -159 + 139. Which is smaller: -21 or s?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/143 or 1?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 - 26?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = q - 40, -8*u + 6*u = 2*q - 28. Let p = -64 - -69. Suppose n - 3*d = -u + 3, 0 = -p*n + 4*d + 5. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/16)\/((-3)\/4).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4*t = -78. Let y = -21 + t. Suppose -7*j + 7 = -7. What is the lowest common multiple of j and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4167 + 4168. Which is the third biggest value? (a) 0.3 (b) -2\/11 (c) f (d) -61\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((54\/18)\/6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8073187093 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 1:38 AM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -660 = -130*r + r + 1404. Calculate the greatest common factor of r and 3640.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyejejfekeyf. Give prob of sequence jej.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 67 + -66. Let h be (-2*d)\/(26\/(-1079)). Let j(x) = -6*x**2 + 2 - h*x + 83*x - 3*x**3. Let t(k) = 5*k**3 + 11*k**2 - 4. Determine -11*j(o) - 6*t(o).\nAnswer: 3*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -29*m + 16. Let h(q) = q**3 - 6*q**2 + q - 14. Let j be h(6). List the prime factors of s(j).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 107 + -67. Suppose f = 5*q - 7 + 47, -5*q + s = 3*f. What is the common denominator of f\/(-30) - -4*146\/(-132) and -79\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -17558 (b) -2 (c) 69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -72 less than or equal to 98?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/(-6))\/((-2)\/3). Let d be 6\/24 + r\/(-8). Suppose 9 = -d*a + 3*a. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/19 + 259133\/285. Let z = -5431\/6 + x. What is the common denominator of z and -67\/8?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 960*d + 7658. Give m(-8).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/(-70) - 7\/10. Let a = 7 + -9. What is the second biggest value in i, a, -2\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119095*(-4939)\/(-1155) - 4\/(-84)*2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 866, 2660, 4442, 6206, 7946, 9656, 11330?\n\"Answer: -r**3 + 1801*r - 934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1490.04151 rounded to the nearest 100?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (441\/(-70) - -7)*24\/21. What is the nearest to -10\/11 in 2\/7, 1\/2, r?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand m - 2*m + 3*m - m + 3*m - m - 5*m + 0*m + 4*m + 0 + 0 + m + (5*m - 5*m - m)*(-2 + 1 - 1) + m - m + 2*m + 1 - 1 + m - 4 - 2*m + 4 - m + 3*m - m.\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i, 1 o, and 1 c when four letters picked without replacement from {c: 8, i: 2, k: 3, o: 4}?\nAnswer: 8\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-339)\/(-2 + 1)*-3. Is 1*(x\/(-3) - 2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -140 - -406. Let y be 2\/((-6)\/(-3)) + (v - 5). Suppose 4*h + 42 = 2*s - 104, -4*s - 2*h = -y. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 43584365?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 809 is divided by 366?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 6*r**2 + 7*r + 8. Suppose 3*h = 2*x + 26, -5*h - 9 = -x - 43. List the prime factors of q(h).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 392*t = 10348 + 11604 for t.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 182.6207 litres to millilitres.\nAnswer: 182620.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1954396 a multiple of 266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 164261541 to the nearest integer?\nAnswer: 12816","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/22009 and 99\/36155708?\nAnswer: 470024204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 35766167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + 154?\nAnswer: 153.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1146 - -2461. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -4 - 3*f + 0*f**2 - 2*f**2 + f**2 - 4*f. List the prime factors of r(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -4*w**2 + w. Let u = -1155 + 1157. Give x(u).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/8 in 3, 16\/13, -1\/16?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {u: 3, v: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1 + -2*sqrt(612))*6)**2.\nAnswer: -13824*sqrt(17) + 1410624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -221323110002 + 120?\nAnswer: -221323103222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 10:16 PM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 575.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4334 * 3\nAnswer: 13002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.4997 + 5.4997. What is the biggest value in -0.1, 3, 240, m?\nAnswer: 240","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -6 + 11, 4*w - 2*u = -10 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14707019*s + 23277212?\nAnswer: -14707019","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61335175 is divided by 82?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -35707 - 104?\nAnswer: -35812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-713 + 257 + 233)*(-3*x**2 - 3*x**4 + 3*x**2) in the form w + d*x + o*x**2 + n*x**4 + a*x**3 and give n.\nAnswer: 669","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (47\/(-10))\/((-200)\/(-500)) + (-9)\/(-12).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5467.05704 + -5467. What is t rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -14 + 8*y**4 - 7*y**2 - 2*y - 16\/3*y**3. Solve d(o) = 0.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - 8 - 10\/5. Let z = s - -15. Suppose g = -z*g + 20. What is the biggest value in g, -2, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89849*c - 2*c**3 - 89849*c.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 9, -259, -2 in descending order.\nAnswer: 9, 3, -2, -259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((((-63)\/4)\/7)\/(90\/60))\/(-1).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 8294*h**2 - 4*h - 2770*h**2 - h**3 - 2762*h**2 - 2772*h**2 - 7 + 3*h. Let i = 4 - 14. Determine a(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -131 - -131.87. Let o = -1.48 + g. What is o rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (441\/21*(-2)\/(-14))\/(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1603.3788953 rounded to 1 decimal place?\nAnswer: 1603.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 13110112331 (base 4) to base 14\nAnswer: 37d1a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11391 (b) -0.5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 16 = 2*a, 3 = a + l - 7. Let p(c) = -6*c + 1. Let s be p(-1). Let r = 11 - s. What is the smallest common multiple of a and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.94 - 63.06. Let p = 65 + l. Which is greater: p or -5\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -6*m - 6. Let r(t) = 1. Let o(i) = d(i) + 5*r(i). Let b be o(-3). Let v = -11 + b. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -6504?\nAnswer: 6508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(2) + (sqrt(2) - sqrt(12)\/(sqrt(6) + 1*sqrt(6) + sqrt(6))))**2 - 5*sqrt(2)*1) + (-2 + sqrt(2))*-5 + ((2*sqrt(16))\/sqrt(8))**2.\nAnswer: -10*sqrt(2) + 239\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -203700 by 6.\nAnswer: -33950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of x**3 + 7. Let f(j) = 16*j**2 + 48*j**2 - 54*j**2. What is q(f(p))?\nAnswer: 300*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j**2. Let q(p) be the third derivative of 0*p + 0*p**3 + 12*p**2 + 0 + 7\/24*p**4. Determine q(i(d)).\nAnswer: 21*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -5 - (2 + 101 + (-50 - -64) + 0)?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 366277973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 660051.8 millimeters in centimeters?\nAnswer: 66005.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2.5 (b) -4\/3 (c) -45 (d) 3 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 20*w**2 - 28*w**2 + 9*w + 12*w**2 + 2 - w**3. Let r(j) = -j**3 + 5*j**2 + 10*j + 1. Let d(u) = 4*r(u) - 6*v(u). What is i in d(i) = 0?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*2*(sqrt(19) + 2 + sqrt(19)) - sqrt(304)*1*-2.\nAnswer: 20 + 28*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6584988954 to the nearest integer?\nAnswer: 81148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1129685 and 1515.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**5 - 13*p**4 - 365*p**3 + 6309*p**2 - 20520*p + 18900 = 0. What is p?\nAnswer: -21, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-19))**(1\/63)*i\/i**22*(i\/(i**(-16)*i))\/i*i assuming i is positive.\nAnswer: i**(-334\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2*h = 10, 10*i = 6*i - h + 5. Let x(k) = -1822*k - i - 9 + 1838*k. Is x(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.51 - 1.01. Sort n, -4, -0.1, 0.5 in decreasing order.\nAnswer: 0.5, -0.1, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -206*q**2 - 913*q - 596. Determine d(-3).\nAnswer: 289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*l + 10. Is 4 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of l**5\/60 + l**4\/3 + 11*l**3\/6 - 4754*l**2. Let k = -12 - -6. Give n(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -278059070 minus 24.937?\nAnswer: -278059094.937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 3:13 AM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**4 - 6*u**4 - 325*u**5 - 85730022*u**3 + 85730011*u**3)*(-5 + 2 + 1).\nAnswer: 650*u**5 + 8*u**4 + 22*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -4. Let x = m - -3. Is x a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 829?\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -169303*c**4 - 7186.\nAnswer: -677212*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 165 = -5*r. Let f be 6\/r + (-155)\/(-55). Solve 0 + 3 = f*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {g: 3, p: 5, z: 5, q: 1, s: 5, e: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 2 x, and 1 n when four letters picked without replacement from {z: 1, e: 1, n: 1, x: 3, g: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -39) + (63 - 58)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41.4 - 41.40005806. Round w to six decimal places.\nAnswer: -0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x*x**(3\/4)*x)*(x\/x**(-3\/29))\/x assuming x is positive.\nAnswer: x**(-191\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -20*g**3 + g - 1. Let t be n(1). Does 24 divide (-2 + (-475)\/t)*20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-15)*c*c)\/((c**16\/c)\/c) assuming c is positive.\nAnswer: c**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvaookosvaovk. What is prob of sequence avvs?\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/(-168))\/(-1 + 0). Let q(z) be the second derivative of -1\/35*z**5 - 1\/7*z**2 + 1\/35*z**6 + 0 + 2*z - i*z**4 + 1\/7*z**3 - 1\/147*z**7. Factor q(l).\nAnswer: -2*(l - 1)**4*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*z**2 + 1\/4*z**3 + 0 - 1\/4*z.\nAnswer: z*(z - 1)*(z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 23*k**2 - 25*k + 14. Let d be y(15). Suppose 5*q - h = 6761, 2*q - 3*h - d = 1268. Suppose -i = -q - 2291. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -175 - -176. Let m be (-1*(-2)\/(-18))\/s. Let t = -0.4 + 0.2. What is the closest to -0.3 in -5, m, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from zuzuzzuuuzuuzuzzzuzz.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 - z + 3. Let w = -104 + 107. Give o(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*c = 199267 + 93215. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207*d - 2*a = 211*d + 6, -1 = 4*d + a for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -26*k. Let o(s) = 1. Let z(x) = -x + 1. Let m(p) = -o(p) + z(p). Calculate m(b(q)).\nAnswer: 26*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 9*x - 7. Let i(t) = -5*t + 4. Let h = -3 - -7. Let g(j) = 3*j - h*j + 1 + 0*j. Let m be g(-4). Determine m*i(p) + 3*n(p).\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 5*p - 7*p. Let b be (-3)\/p*(10 - 17). Let f(y) = y**2 - 4*y - 5. Let i be f(7). Solve -n = b*n - i for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/(-105))\/(1*(-3)\/30)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n + 29 = 51. Let v = -0.6 - -0.2. Let g = v - 0. What is the nearest to 1 in -0.2, g, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9538\/32 - 38\/608 is divided by 79.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 5*r**2 + 5*r + 2. Let s be d(-3). Let f = -148 - -145. Let i be (f - -4) + -3 + 6 + 1. Solve 0 = -3*w - i*m - 0 - 15, -2*w = -s*m + 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**3 - v + 2*v**3 + 15*v**2 - 14*v**2 to the form z*v**2 + h + j*v + o*v**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -85912, -86049, -86272, -86581?\n\"Answer: -43*r**2 - 8*r - 85861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-103*l - 7*l**2 + 103*l)*(l**2 + 4 - 4) - 16*l**4 + 10*l**4 - 8*l**4.\nAnswer: -21*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/21)\/(j\/j**1))\/(j**4)**26 assuming j is positive.\nAnswer: j**(-2186\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l. Let v(y) be the second derivative of y**4\/2 + 530*y. Determine z(v(p)).\nAnswer: 18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/3 - 1198390*f\/3 + 359034648025\/3.\nAnswer: (f - 599195)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 174513 and 161366354?\nAnswer: 484099062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 5:09 PM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6277.\nAnswer: 6277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -9. Let w be 241\/2 + u\/8. Suppose -w = -5*v - 21. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ht when two letters picked without replacement from {h: 1, t: 11}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 6*a**2 + 2*a - 4. Let q be j(6). Let n be ((-2)\/3)\/(5\/(-90)*1). Suppose 652 = n*g - q*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -4*o + 6, 5*b = o + 104 - 78 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + 7*s - 4. Let h be g(-8). Let l(u) = -u + 3*u**2 + h*u - 3*u. Let b(j) = 6*j. Calculate l(b(r)).\nAnswer: 108*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 144.1 - 144. What is the closest to 1 in i, -0.3, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -h**6\/8 - h**4\/24 - 2*h**2 + 5. Let g(s) be the second derivative of v(s). Find the second derivative of g(p) wrt p.\nAnswer: -90*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 62 = -2*y + u, -4*u + 39 = -y. Let o = y - -22. Solve -3*i + 2 + 1 = -p, -3*p = o*i + 9 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 62 and 5901005.\nAnswer: 11802010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 829.1973 grams?\nAnswer: 0.0008291973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g**2 + g + 4. Let s(r) = -4*r**2 - 2*r - 5. Calculate 4*n(m) + 3*s(m).\nAnswer: 4*m**2 - 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*o**2*u**3 - 9*o**2*u**2 - 19*o**2*u + 10*o**2 + 26*o*u + 25797*u**3 - 2*u wrt u.\nAnswer: 12*o**2*u - 18*o**2 + 154782*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*u - 45*u - 48 = -4*t, 0 = 5*u + t - 46. Let p(o) = o**2 + 6*o + 1. Let d be p(-3). Is d\/(-8) - -20*u a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from {e: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.1 - 9.7. Let j = r + -54.4. Let t = j - -65.1. What is t rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 863 is divided by 54.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, -5, -0.041?\nAnswer: -0.041","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5324160947.\nAnswer: 7, 61, 563, 22147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.75, 1, 4\/7, 2.\nAnswer: 4\/7, 0.75, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 182*t**3 + 3605*t - 3271221 wrt t?\nAnswer: 546*t**2 + 3605","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of -1\/42*w**7 + 0*w**4 + 0 + 0*w - 1\/60*w**5 + 0*w**3 + 0*w**6 + 6*w**2. What is the third derivative of a(r) wrt r?\nAnswer: -120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/14 and -69\/5000.\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 140184209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 112672 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 36266 = -3*s, 5*s - 2*r = -17780 + 78216. Suppose -386*u + 382*u = 0. Suppose -9*l + l + s = u. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80293, 158035, 235777, 313519?\nAnswer: 391261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49254?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -3*l - 12, -4*z - 47 + 29 - 14 = 8*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3\/4, 6, 0.16, -1, -0.5, -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (23\/(-3) - -1)\/(2\/(-6)). Let q be 25\/(-2)*48\/w. Let v = 104 + q. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c*c*(c\/c**(-9\/2))\/c))\/(c**(2\/37)\/c))**18*c**(-3)\/(c*c*c**(2\/25)*c)*((c*c*(c*c**(-3\/2))\/c*c)\/c)\/c**(-4\/11) assuming c is positive.\nAnswer: c**(-2140603\/20350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zuuu when four letters picked without replacement from {z: 4, u: 15}?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -7*k + 23. Suppose -2*s + 135 = 127. Suppose 5*l = 5, 0*c - 10 = -2*c - s*l. Let f be h(c). Solve -2*u + 6 = f*q - 0, -5*u + 2*q = 13 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1351*f**2 + 4045*f**2 - 1345*f**2 - 1345*f**2.\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 4*j - 92, 66 - 21 = 2*s + 3*j. Suppose -4*g - 4*u = -60, -99*u = 6*g - 101*u - 90. What is the remainder when s is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-24)\/10 + (-4)\/(-10). Let l = c + 9. Let h(s) = 2*s**2 - 5*s + 7. Let b be h(l). Calculate the greatest common divisor of b and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.9 - 1.9. What is the nearest to 0 in b, -0.5, 7\/6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q - 29 = -2*h, -3*h + 927 = -2*q + 948. Let p = 44 - 26. Suppose z = -z + p. Solve -q*a + 3*j = z, 0 = 3*j + 7 - 1 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 8:47 AM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 62 + -2 + (-1 - -1). Let h = 94 - k. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 63 + -59. Suppose 21*a - d = 20*a. What is the third derivative of 80*v - 10*v**2 - 40*v - 40*v - 12*v**a wrt v?\nAnswer: -288*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**4 + 8 - 20*k**3 - k - 6 + 0 in the form g + w*k**2 + l*k**3 + t*k**4 + c*k and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -280500000 rounded to the nearest 1000000?\nAnswer: -281000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 10*y + 4. Let q(i) = -6*i - 2. Let h(d) = 2*q(d) + z(d). Let c(j) = 2*j**2 - 81*j - 1. Determine c(h(o)).\nAnswer: 8*o**2 + 162*o - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 1, -32, -65, -98?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -2 + (-8 - 0) + 7 + 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10 + 16)*110\/30. Solve 12*w - d*w + 70 = 0 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605) + sqrt(605)*2)*1 + sqrt(605) + -2)**2 + ((sqrt(605) - (sqrt(605) - (2*sqrt(605) + 5)))**2 - (sqrt(605) + (sqrt(605)*-2)**2 + -3)).\nAnswer: 33*sqrt(5) + 9712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.13 - 0.06. Let d = u + 0.33. Let w = 41\/86 - -1\/43. What is the nearest to w in -4\/7, d, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*o**2 + 2*o**4 + 2*o**3 - 2 + 0*o + 8*o - 3*o**3 - 12*o to the form l*o**4 + j*o**3 + g + t*o**2 + n*o and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4840362084 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(8)\/sqrt(4) - sqrt(8)\/sqrt(36).\nAnswer: 11*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -16722.4 and 0.27.\nAnswer: -16722.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 639 + 2*c**2 - 639.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 127, 252, 377, 502, 627?\nAnswer: 752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -18066872?\nAnswer: 18066874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 53771491661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/((-135)\/69 + 2). Suppose 8*a - 5*a = 4*d - p, 80 = 5*d - 5*a. Let t = 31 - d. Calculate the remainder when 39 is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 109.016 + -113.35055. Let n = r + -0.66551. Let o = -5 - n. Round o to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0373 * -64.\nAnswer: -2.3872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*p - 51*p + 45 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 100 = -49. Solve -2*p - p = -4*s + h, 0 = -2*p - 4*s + 22 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 4 + 11, -70 = 5*x - 3*c. Let s = x + 23. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*o - w, -13 - 2 = -4*o - w. Let j = 6 + o. Suppose 5*d - c - 80 = 0, 0 = 2*d - 4*c + j - 43. Round d to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/9 - 5\/18. Let x = -7 - -6. What is the nearest to i in -0.5, 0.4, x?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.8 + -2.2. What is the nearest to -1 in m, -0.1, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5330 and 1105.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5223, -5224, -5225, -5226, -5227?\n\"Answer: -j - 5222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 + 0*a + 0*a)*(2 - 1 - 3 + (0 + 2 + 0)*(-11 + 3 - 3))*(-5*a**2 + 2*a**2 + 5*a**2).\nAnswer: 48*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -121*m**2 + 29*m**3 - 64*m - 66*m**2 - 63*m**3 - 12*m**4 - 45*m**2 - 90*m**3.\nAnswer: -4*m*(m + 2)*(m + 8)*(3*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2*q, 2*q = 5*x + 3*q. Suppose -2*o - f = -20, x = 2*f + f. Solve k = -k + o for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l + l + 2 = f, -f + 5*l + 22 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*t + 33 = 5, -70 = -5*f - t. Suppose 27*c = 20*c + f. Let u(j) = -8*j**2 + 6*j + 5. Let x(v) = 4*v**2 - 3*v - 2. What is c*u(b) + 5*x(b)?\nAnswer: 4*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -75 divided by 9\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1\/4 (b) 4142\/9 (c) 2\/431\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, z: 2}. Give prob of sequence zff.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**5 - 465*o**4 + 23373*o**3 - 345507*o**2 - 1786524*o = 0 for o.\nAnswer: -4, 0, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 9*j + 4. Suppose 3*f + 10 = -8. Let n(p) = 26*p + 11. Give f*n(o) + 17*m(o).\nAnswer: -3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + sqrt(20)\/sqrt(160) + sqrt(2) + (1*sqrt(50))**2.\nAnswer: 9*sqrt(2)\/4 + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 208 times 0.262157\nAnswer: 54.528656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1 + 4*(-4 + -1*sqrt(72) + -2*sqrt(72) + sqrt(72) + 2 - (2 + (-2*sqrt(72) - sqrt(72)) + sqrt(72) - (-1*sqrt(72) + 2))))**2.\nAnswer: 96*sqrt(2) + 1156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 117270430?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1119825?\nAnswer: 3, 5, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2304 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2502, 2508, 2514, 2520, 2526, 2532?\nAnswer: 2538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/7 - (-26)\/(-112)*1.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t + 0*t + 2*t)*(-72 + 362 - 176) in the form d*t + q and give d.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -324?\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1055?\nAnswer: 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z - 4. Let k(i) be the second derivative of i**4\/12 + i**3\/2 + 5*i**2\/2 - 17*i. Let r be k(-2). Determine m(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/200)\/((-4)\/10)*(-40)\/(-52)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3426906109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 0, -0.052, 253?\nAnswer: 253","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -269*i - 19 + 532*i - 266*i.\nAnswer: -3*i - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/212284680 and 43\/1302360.\nAnswer: 212284680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4.1? (a) -0.2 (b) 4\/5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 2*j + 2*i - 15 = 0, -15 = -3*j + 4*i for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.97305 to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -31841696 divided by 995053?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1099 - 1098. Let z be 3 + (-29)\/((-3)\/3). Let f be k\/(-2*4\/z). Sort f, 0.3, -2.\nAnswer: f, -2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.099, 0.3 in decreasing order.\nAnswer: 0.3, 0.099, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffkyppepppeyyjjk. What is prob of sequence ke?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*h**3*k**6 - 6*h**3 + 1229*k**6 - 147*k**2 wrt k?\nAnswer: -360*h**3*k**3 + 147480*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -3. Let w = b + 1. Let v(u) be the third derivative of u**6\/120 + u**5\/12 + u**4\/12 - u**3\/3 + u**2. Give v(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 50, -2\/7, 2\/7, -0.8, -0.1, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -2*u**5 - 414*u**4 + 418*u**3 + 414*u**2 - 416*u = 0.\nAnswer: -208, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 803 and 183103126.\nAnswer: 2014134386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*i + 2*i. Let c be i\/2 - (1 - 6). Solve -4*a - 1 = y + 10, c*y + 1 = 4*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-2\/7))\/q**(-6))\/((q\/((q**(-4\/3)\/q)\/q*q)*q)\/(q\/q**11)) assuming q is positive.\nAnswer: q**(-148\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-28)\/(-21) - (-4)\/(-3). Suppose 4 = 2*h - b. Suppose 4*f = -h*j + 18, 3*j + 3 - 10 = -f. Calculate the remainder when 8 is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence suw when three letters picked without replacement from uulswuuuu?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04908726 rounded to 3 dps?\nAnswer: 0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 9 = i + 8, -4*r + 5*i = -16 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p - 948964*p**3 + 948913*p**3 - p + 4*p.\nAnswer: -51*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 1544561109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 18*x**3 - 44*x**2 - 2*x + 1. Let w(b) = -90*b**3 + 219*b**2 + 11*b - 6. Let i(z) = -22*u(z) - 4*w(z). What is the third derivative of i(m) wrt m?\nAnswer: -216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-6*sqrt(210)*-2)\/(sqrt(1008) + 1*sqrt(1008)))\/(-2*sqrt(90)*-3 + 1*sqrt(90)*-1))**2.\nAnswer: 1\/300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 12 + 6*m)*(-2*m**3 - 2*m**3 + 0*m**3).\nAnswer: -24*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/3 - ((-1 - 2) + -2). What is the tens digit of 80 - v\/(-5)*-5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 19, 35, 67, 121, 203, 319, 475, 677?\n\"Answer: x**3 + 2*x**2 + 3*x + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26 and 3458.\nAnswer: 3458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 51 = s, -444*s = -h - 449*s + 18 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/24*3*-26. Let v(q) = q**3 + 24*q**2 + 63*q + 6. Let b be v(-21). Calculate the highest common divisor of n and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**2 + 37*n**4 - n + 2*n**3 + 0*n**3 - 2 - 41*n**4 to the form p + m*n + g*n**4 + t*n**2 + s*n**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of 0*b**4 + 0*b**2 + 0*b**5 + 1\/120*b**6 - 2*b + 0 + 2\/3*b**3. Let w(a) be the second derivative of q(a). Solve w(t) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -4*f + 132. Let d = -309 - -312. Suppose -d*b - 3*z + 220 + f = 0, -92 = -b + z. What is the highest common divisor of b and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -218129016 plus 384?\nAnswer: -218128632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 2*l + 92. Let z be b(0). Suppose 0 = 4*w - 120 - z. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t + 3. Let g(v) = 2*v + 5. Suppose 32 + 8 = 8*w. Suppose -m - 5*h + 34 = m, 3*m + h = 38. Let a = 4 - m. Determine a*y(c) + w*g(c).\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -5, -1, 4, -2, 30 in decreasing order.\nAnswer: 30, 4, -1, -2, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*f - 32*f + 9*u - 6*u = 44*f, 0 = 4*f + 4*u + 32 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -35143 + -13?\nAnswer: -35200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 74 - 43 = -41*x. Solve 12 = x*m - s, 0 = -3*m - 150*s + 147*s + 24 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 5*h + 25. Let j(s) = -s - 5. Let t(k) = -2*f(k) - 11*j(k). Suppose 5*w = 9*w - 2*d + 24, 5*w = d - 33. Calculate t(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/73 or -7102?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-8)*(-317)\/2853\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (40\/(-160))\/((-2 - -7)\/(-120)). Suppose -33\/4*c + 3\/8*c**3 - n - 15\/8*c**2 = 0. Calculate c.\nAnswer: -2, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5402, -5649, -6060, -6629, -7350, -8217, -9224?\n\"Answer: y**3 - 88*y**2 + 10*y - 5325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 38 = 4. Suppose 4*k + 3 = 2*h - 13, -5*k = -h + w. Let v = k - -6. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b - 23. Give w(-13).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-1*sqrt(65) - -4*sqrt(65)*3)\/((2*sqrt(605) + sqrt(5))*-4*-6))**2.\nAnswer: 1573\/304704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 - 2 + 4)*(-3 + 4 + 0) + 3 + 0 - 8)*(55 + 3*o - 55) to the form c + j*o and give j.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -7*m**3\/3 - 3964*m**2\/3 - 561755*m\/3 - 160178\/3 = 0.\nAnswer: -283, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - -3. Suppose -2*a + 159 = l*t, -4*a - 9 - 14 = -t. What are the prime factors of t?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 15 (b) -0.33 (c) 287\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 574*v**3 + v**2 + 271*v.\nAnswer: 3444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 p when two letters picked without replacement from kppzmpypzpmyzzkkzyk?\nAnswer: 25\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of 5*j**6\/17 + 116*j**5\/85 + 7*j**4\/34 - 184*j**3\/51 + 12*j**2\/17 + 1798. Solve b(d) = 0.\nAnswer: -3, -2, 0, 2\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbblmblbabbbbblmbbt. What is prob of sequence mtl?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/3021 and 65\/477.\nAnswer: 9063","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - (sqrt(117) + (sqrt(117) + sqrt(117)*2)*6))*1)\/(-6*3*sqrt(36)) + 0.\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 112, 94, 70, 46, 28?\n\"Answer: f**3 - 9*f**2 + 2*f + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (70 - (-1302)\/(-6)) + 32?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8 (b) 4 (c) 1\/7 (d) 5.361 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 s when two letters picked without replacement from dzxdjjsz.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1243\/7 + 177. Let s be -21 + 16 - (-3 + 1). What is the second biggest value in s, 2\/3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 569258002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109 + 73 = 7*g - 4*o, 7 = -5*g - 5*o - 58 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -244, -172, -130, -112, -112?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 263847 and 999?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 + 7*t - 6. Let v be n(7). Let m = v - -28. Calculate the remainder when m is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 5*g + 5 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11086.\nAnswer: 2, 23, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1440?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1d734e (base 15) in base 9?\nAnswer: 2636782","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 + 0 - (1559200\/(-8))\/20.\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, u: 3, b: 1, y: 2, e: 1, t: 1}. What is prob of picking 1 f and 2 u?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6\/7 (b) 126 (c) 0.1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 12*l**3 - 26*l**2 - 3*l + 6. Let d(i) = -35*i**3 + 78*i**2 + 8*i - 16. What is -3*d(r) - 8*x(r)?\nAnswer: 9*r**3 - 26*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b + 2*b + 36 = 0. Suppose -39 = b*h - 6*h. Suppose -3*c + w + 21 = -19, 67 = 5*c - 2*w. What is the highest common divisor of c and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pg when two letters picked without replacement from {z: 8, g: 2, n: 3, p: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/78744 and 97\/191918814?\nAnswer: 767675256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 77*n + 123*n - 45*n + 1 - n**2. Let x(d) = -66*d**3 + 2*d**2 + 4*d + 4. Let m(w) = 4*s(w) + x(w). Find the second derivative of m(b) wrt b.\nAnswer: -372*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 14*x**2 + x**3 + 14 - 22*x + 11*x + 4*x. Is o(-14) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48328 divided by -25?\nAnswer: 48328\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26199)\/1704*(-48)\/18?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jtntqcqtcqnqct. Give prob of sequence jqqq.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -352 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r + 3400 = 86*r + 514. What is the remainder when 252 is divided by r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-168))\/(15\/(-35))\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 + 7*j - 3. Let x be m(6). Suppose 3*b = -i - 7, -2*i = -3*b - 5 - 8. What is the third derivative of 5*z**2 - i*z**2 + 0*z**4 + x*z**4 wrt z?\nAnswer: 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931) - 2*sqrt(931)) + sqrt(19))**2 + sqrt(76)\/sqrt(4)*2 + sqrt(19)*-1*4 + (-2*sqrt(133))\/sqrt(7) + 1.\nAnswer: -4*sqrt(19) + 685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*f, 38*i - 3*f + 23354 = 42*i. What are the prime factors of i?\nAnswer: 13, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33 - (1 - 3)) + 30 + -23 + -10.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of 7*q**6\/3 - q**5\/5 + 70*q**3\/3 + 157. What is the third derivative of n(w) wrt w?\nAnswer: 840*w**2 - 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 2*u - 558 = 0, -3*q - 338 = -0*q - 2*u. Let h = q - -78. Let v = h - -59. Solve 6*m - m + v = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*n**4*r - 107*n**3*r*v**2 - 13*n**3*v**3 + n**2*r*v**3 + 1097*n**2 - 15*r*v**3 wrt n.\nAnswer: 72*n*r - 642*r*v**2 - 78*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**20)**(2\/3)\/(t*t**27)**(-2\/9))**(15\/8) assuming t is positive.\nAnswer: t**(110\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 + 12*i - 21. Determine t(-14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*l = -30*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 5*f - 41. Calculate the remainder when c(13) is divided by 103.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 102 + 5?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 10) to base 16\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f**2*g*j - 343*f**2*j**2 + 49*g*j**2*w - 6*g*j*w - 3*w with respect to g.\nAnswer: 2*f**2*j + 49*j**2*w - 6*j*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - b - f - 7 = 0, -3*b + 3*f - 3 = 0. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 393310549?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 37816004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 5 + 21. What are the prime factors of (-90)\/k*8\/2?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/4? (a) 2 (b) 29 (c) -3\/2 (d) -2 (e) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004919872 rounded to seven dps?\nAnswer: -0.0000492","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than -299640911944859?\nAnswer: -299640911944859.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 x when three letters picked without replacement from tgxtjg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 203 (base 6) to base 3.\nAnswer: 2210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 9 = -3*h, -3*h + 4*h + 3*w + 11 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ezezrzrzenzssrznzzz. Give prob of sequence ezn.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59696, -119380, -179064, -238748?\nAnswer: -298432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1 + sqrt(175))**2 - sqrt(49)\/(((sqrt(70) + 1*sqrt(70) - sqrt(70)) + sqrt(70))\/sqrt(10)).\nAnswer: 19*sqrt(7)\/2 + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 220353 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + -31 + 2 + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127 - 136 = -3*z. Suppose -3*n + 2*n - z*y + 799 = 0, -3*y = 2*n - 1583. What is the hundreds digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -28*i - 168. Suppose 2*l = -k - 11, k - 1 - 24 = 4*l. Let c be q(l). Determine x so that -6\/11*x**4 - 4\/11*x**3 + 0 + c*x + 0*x**2 = 0.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 - 19 - 20*x)*(-4*x - 3*x + 5*x)*(-197 + 134 + 172)*(0 - 2 + 1 - 1 + 1 + 1 - 3 - 3 + 3 + (-2 + 1 + 2)*(3 - 3 + 2)).\nAnswer: -4360*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of 177*c**5\/20 - 89*c**4\/3 + 7*c - 14. What is the third derivative of b(q) wrt q?\nAnswer: 1062","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 95355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 52671392533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 88421 or 86813?\nAnswer: 86813","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -64, -59, -22, 59?\nAnswer: 196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1333 and 129.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123428?\nAnswer: 2, 59, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 33842, 67726, 101610, 135494, 169378?\n\"Answer: 33884*u - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(324)*3 + sqrt(324) + sqrt(9) + (sqrt(225) + sqrt(225) + 1*sqrt(225) - sqrt(225)) + sqrt(225) + sqrt(225))\/(3*sqrt(3)*-6 + sqrt(600)\/sqrt(8)).\nAnswer: -45*sqrt(3)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -63*a**3 + a**2 - 5*a + 4. Let x(q) = 95*q**3 - 2*q**2 + 8*q - 7. Give -8*s(l) - 5*x(l).\nAnswer: 29*l**3 + 2*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33679 - -29596. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*m + 893 - 9*m + 9*m - 27*m wrt m.\nAnswer: -39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + u**2 - 1. Let b(a) = -4*a**5 - 36*a**4 - 100*a**3 - 132*a**2 - 84*a - 24. Let t(n) = -b(n) + 4*f(n). Solve t(q) = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -1792?\nAnswer: -5\/1792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.44, -5, 2\/19, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17260 + 17260 - 53*m**2)*(-2*m**3 + 2*m**3 + m**3) + (-2*m - m + 4*m)*(-3*m**3 + m**4 + 3*m**3).\nAnswer: -52*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - 4. Is 3 a factor of (-2)\/m - (-52)\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 55990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 26*((-28)\/(-8) + -4). Let d(l) = -12*l - 4 - 17*l + 21*l. What is the tens digit of d(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 1061321774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 5. Put -4, 2, y in descending order.\nAnswer: 2, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 730655133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*b**3 - 10*b**3 + b**3 - 4*b**3 + 31*b**3 - 14*b**3.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -5*q**3 - 4*q**2 + 13*q + 1. Let f(x) = -x**2 + 2*x. What is -4*f(h) + z(h)?\nAnswer: -5*h**3 + 5*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 4:08 PM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 781*n**2 + 15*n. Let t(d) = -d**2. Give j(t(f)).\nAnswer: 781*f**4 - 15*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6323 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 11*b**2 + 3. Let n be v(11). Solve -5 = -4*a + n*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of 0*h**3 + 0 + 0*h**2 - 40*h + 1\/4*h**4. Let p(z) = 6*z**2. Give p(q(l)).\nAnswer: 54*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 4*s**3 + 13*s**2 - 34. Let k(o) be the second derivative of -o**5\/10 - o**4\/2 + 17*o**2\/2 + 756*o. Calculate 6*f(d) + 13*k(d).\nAnswer: -2*d**3 + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -15 (c) -7 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (-2 - 1) + (-9 - (0 - 10))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.1, 4, 0.15 in decreasing order.\nAnswer: 5, 4, 0.15, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -505 (base 15) to base 16.\nAnswer: -46a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*q - 10*q + 17*q)*(-4 + 3 - 2)*(-186 - 5*q**2 + 308 - 157) as x + n*q**3 + w*q**2 + u*q and give u.\nAnswer: 1365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 6*q - 2. Let g(m) be the third derivative of -4*m**5\/15 + 36*m**2 + 10. Give g(z(d)).\nAnswer: -576*d**2 + 384*d - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*s - 34*s = -5*h + 45, 3*h + 2*s = 52 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c + 3. Let k be g(5). Suppose k = 6*w - 5*w. Suppose 3*b - 4*n - 66 = 0, 3*n + 103 = 4*b + w. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 390655 divided by -1817.\nAnswer: -215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 882 is divided by 163?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -8*q + 60. Let f(x) = -x**3 + 3*x + 2*x + 6 - 5*x + 12*x**2. Let k be f(q). Solve -2*s + n = 1 + 1, -k = 4*s - n for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5*(sqrt(209) + sqrt(209)*2) + sqrt(209))\/(2*sqrt(539)).\nAnswer: -48*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 10 = 3*b, 3*b + 0*b - 2*t - 14 = 0. Suppose 7*h - b*h = -4*s + 263, -h = -4*s + 293. Calculate the least common multiple of 54 and s.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m**3 + 8*m**2 + 5*m. Let u(f) = 2*f**3 - 4*f**2 - 3*f. Let i(t) = 3*s(t) + 5*u(t). Find the third derivative of i(w) wrt w.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453667.7m in millimeters?\nAnswer: 453667700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 7:58 AM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ezxzrxzezzxzmexxmx. Give prob of picking 1 m and 2 e.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (19008\/1232)\/((-56)\/196)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 l, and 1 n when three letters picked without replacement from {o: 3, j: 5, f: 1, l: 2, n: 8}?\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q, -p + 6*q - q = 0. Let m(l) = -2*l + p + 4 + 8*l. Let n(y) = 221*y**2 + 2431*y + 3. Let x be n(-11). Determine m(x).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -93.01 + 213.8. Let f = -253 - -133. Let v = f + w. Round v to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*k - 75*k + 4*w - 13 = 0, 4*w + 0 = 5*k + 15 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1.56 (b) -6 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -423749\/30 - -14129. Calculate the common denominator of -16\/3 and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7555 or 7.4?\nAnswer: 7.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**4 - 5*z**4 + 4*z**4 + (5*z - 2*z - 6*z)*(-z**2 + 2*z**3 + z**2) + (-z - z**3 + z)*(3*z - 2*z + z).\nAnswer: -7*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 58052151?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 18358*p + 6121*p + 6131*p + 6129*p - 1.\nAnswer: 23*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 548*n**2 - n - 8506 wrt n?\nAnswer: 1096*n - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of 16*j**6\/15 + j**5\/20 - j**4\/3 + 7*j**3\/6 - 127*j**2. What is the remainder when a(1) is divided by 45?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 50.9 + -8.9. Let a = q + -45. Let g = -2 - -5. Sort g, -5, a in ascending order.\nAnswer: -5, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d*(d**(-5)*d)\/d)*d**(-1\/5))**(1\/18) assuming d is positive.\nAnswer: d**(29\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1164805 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/509 and -11\/28.\nAnswer: 14252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1660 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 2886 divide 101728614?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jrsjsbojsjbjjrorjbob. Give prob of sequence srr.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 4\/7 (b) -7\/80 (c) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a hour in minutes?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 6*p - 16. Let i be t(8). Let v be 6\/10 + i\/3. Let d = 90 + -87. Which is the nearest to v? (a) -0.2 (b) d (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 305 less than 307?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 3b771a9?\nAnswer: 3b771ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4590 a factor of 987162120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1030 is divided by (-21 + (-1159)\/(-57))*(-2 - 379)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 + -22. Let t = -37 - z. Calculate the remainder when t is divided by 42\/(0 - -6) - 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2969 by 110.\nAnswer: -2969\/110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 49? (a) -1 (b) 2\/17 (c) 84 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1300 and 6240?\nAnswer: 31200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -100*l - 1903. Let y be f(-19). Put 4, 1, 45, y, -5 in descending order.\nAnswer: 45, 4, 1, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -375259, 0, 2 in decreasing order.\nAnswer: 2, 0, -375259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54*(-118)\/4779)\/((-2)\/12).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7325*v**2 + 53 - 1630 + 832*v**2 with respect to v.\nAnswer: 16314*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 450550 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 12:09 AM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3789376764 - 3789358029.050015. Let m = 18735 - y. Let w = -0.05 + m. Round w to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 2:11 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -187408 - -187408.1799945. Let i = -9 + 8.82. Let m = j + i. Round m to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7, b: 7}. Give prob of sequence bxx.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 10. Let b = 0.4 + -0.5. Let j = b - -0.2. What is the nearest to -0.1 in m, j, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5 (b) -41 (c) -1\/6 (d) 0.03 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8218.784um in millimeters?\nAnswer: 8.218784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -3*l - 4*r, 2*r + 8 = l - 2*l. Let b = l + 6. Let m be (b - -1)*(-2)\/(-6). Solve 3*c = -0 + m for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 + 0*s**2 - 3*s**2)*(6*s - s - 4*s + 12).\nAnswer: -2*s**3 - 24*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -j**10\/1008 + j**6\/45 - 2*j**3\/3 - 5. Let w(s) be the third derivative of f(s). What is the third derivative of w(u) wrt u?\nAnswer: -600*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*166\/(-8) + (-6)\/24. Let s be (-56)\/w*(-3)\/(-2). Solve -5*g - 10 = 5*q, g - 2*g = -q - s for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/15292442 and -41\/4170666.\nAnswer: 45877326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3 - 454776*z**2 - 4547910*z - 11369900.\nAnswer: 2*(z - 227398)*(z + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j + 5. Give u(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of -v**2\/2 + 7*v + 6. Let r(f) = 4*f - 4*f + f - 3 - 3. Give -6*k(h) - 7*r(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (96\/20)\/(-3)*(-20)\/(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*v + 105 = -107 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/(-130)*(-20)\/(-96)*-16.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (2 - -4) - (1 + (-12 - -8)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + (-4 + 8 + -5 - (155 + -138))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of u**6\/120 + 3*u**5\/20 + 3*u**4\/8 - 5*u**3\/3 - 6*u**2. Is n(-7) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*s + 4, -3*p - 2*s = -36. 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 u = -1.9 + -0.1. Let c = -38 + 39.7. Let j = -6.7 + c. What is the biggest value in j, u, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2082, -4170, -6258, -8346, -10434, -12522?\n\"Answer: -2088*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 11\/(-1*1\/5). Let n be (-2)\/((-108)\/k + -2). What is the highest common divisor of n and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73601.87l to millilitres.\nAnswer: 73601870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, o: 3, s: 1, d: 4, g: 1, a: 2}. What is prob of sequence ad?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 222 - -58?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6 + 7)\/(((-30)\/450)\/((-1)\/12)). Sort 7, 2\/5, 2\/9, d, -1 in ascending order.\nAnswer: -1, 2\/9, 2\/5, d, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (80 + -4)\/(-4)*(-28 - -27). Let k(y) = -y**2 + 22*y - 42. Give k(v).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 163*x - 167*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/11 - 6*b**2\/11 - 36*b\/11 + 80\/11.\nAnswer: 2*(b - 5)*(b - 2)*(b + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((22\/4)\/(-11))\/(1\/10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -3*i - 43, 2*f + 4 = -4. Calculate the remainder when 24 is divided by ((-2)\/(-6))\/((-1)\/i) - -6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95853685 to the power of 1\/4, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 6502 = y + 6*n, 5*y = 4*n + 32423. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*k - k + 0*k)*(-k + 2*k - 2*k) + 4*k**2 + 2*k - 2*k + 6*k**2 - k**2 - 2*k**2)*(12*k**2 - 12*k**2 - 64*k**3).\nAnswer: -256*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -115 (base 6) to base 16.\nAnswer: -2f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((6\/15)\/1)\/(5\/550). What is the first derivative of -2*l**2 - 3*l + 26 + n + 6 wrt l?\nAnswer: -4*l - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -360 - 50?\nAnswer: -3b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2797, -2799, -2797, -2791, -2781, -2767?\nAnswer: -2749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(7) + 0 + sqrt(7) + 1)*3 - (-2*sqrt(567) + sqrt(567))**2*-5).\nAnswer: 30*sqrt(7) + 14190","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 10:42 AM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of -w**6\/15 - 104*w**5\/5 - 5408*w**4\/3 + 560*w - 1. Factor a(j).\nAnswer: -2*j**2*(j + 104)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7 - -3)*17\/2. What is the greatest common factor of 17 and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-5)\/50)\/1)\/((-2)\/(-4))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -7 - -1 - (0 - 0). Let w = m + 15. Suppose -w*d + 12*d - 27 = 0. Calculate the lowest common multiple of d and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jdj when three letters picked without replacement from tftttttdjfdttjf.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -x - 1 - 7, -x = i - 1. Let r(w) = 4*w**3 - 3*w**3 + w + 4 - 3*w**2 - x*w. Determine r(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10.5 + -9. Let n = k - 2.4. Round n to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46953, 375659, 1267861, 3005307, 5869745, 10142923, 16106589, 24042491?\nAnswer: 34232377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -143*n**2. Let d(b) = -57*b + 18. Let u(y) = 25*y - 8. Let c(m) = -4*d(m) - 9*u(m). Give i(c(s)).\nAnswer: -1287*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 10442423 (base 5) to base 6\nAnswer: 2000452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 171*h**3 - 18*h + 19. What is the remainder when g(1) is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 2. Let i be 1 + -3 + (-4 - (-1 - 2)). Let p(d) = -d**3 - 4*d**2 - 5*d - 3. Let l be p(i). Solve l*x - 1 = -u - u, -z*x + 2*u = 7 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 1 + 0 + (14 - 19)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 12\/29 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 4 = -3*s - 2*t, 0 = -3*s - 3*t - 3 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32387, 7, 2, 1, 4 in descending order.\nAnswer: 32387, 7, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 107987451, 107987446, 107987443, 107987442?\nAnswer: 107987443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 1:45 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7104 is divided by 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -18632, -18598, -18532, -18428, -18280, -18082, -17828?\n\"Answer: y**3 + 10*y**2 - 3*y - 18640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x. Let l(b) be the second derivative of 5*b**3\/3 + 29*b**2\/2 + 71*b. Determine l(j(c)).\nAnswer: 20*c + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.5 - 0.3. Let n = -1 - -1.1. Let z = -205 - -1438\/7. Which is the biggest value? (a) p (b) n (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1374323399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -7, 2, -6\/965399?\nAnswer: -6\/965399","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 50021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 480286 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40 + 28 + 36 + 6 + o**2 to x*o + w + u*o**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -529, -3739, -12453, -29425, -57409, -99159, -157429, -234973?\n\"Answer: -459*c**3 + 2*c**2 - 3*c - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -236a + 6?\nAnswer: -2364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 2*f - 619, 2*f - 396 = 4*k - 2*k. Let l = k + 111. What is l rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1782\/59 at least as big as -0.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -4*n**3 + n**2 - n - 1. Let g be v(-1). Let z(p) = -17*p**3 - 6*p**2 + 5*p. Let w(f) = -3*f**3 + 1. Let b(u) = -6*w(u) + z(u). Calculate b(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 34*k**2 - 3*k + 1. Let l(c) = -2*c**2. What is u(l(r))?\nAnswer: 136*r**4 + 6*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 + 39. List the prime factors of h.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21118 is divided by 1696.\nAnswer: 766","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3557 + -3549. Let t = 3 + -1. Suppose y - 5*y - t*i + u = 0, -3*y - i = -6. Solve 4*s + 4*f + 0*f = 32, 5*s = -y*f + 25 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -5*f**2 - 7*f + 7. Suppose -8*l = -278 + 334. Let p(b) = 2*b**2 + 3*b - 3. Calculate l*p(o) - 3*d(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/31, 4, -327 in descending order.\nAnswer: 4, 2\/31, -327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 - 32 + 6*b - 43*b.\nAnswer: -37*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005404572 rounded to 7 decimal places?\nAnswer: 0.0005405","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b - 7*b - 3*d = -17, -3*d = 60*b + 177 + 426 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 40*z**4 + 7*z**3 - 64*z. Let s = 52 - 54. Let l(n) = -13*n**4 - 2*n**3 + 21*n. Let w(k) = s*h(k) - 7*l(k). Find the second derivative of w(o) wrt o.\nAnswer: 132*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 - -0.3. Which is the nearest to f? (a) 0.2 (b) -1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30745719 to the power of 1\/3, to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*g**2 - 3*g**2 + 0*g**2 - 6*g**2.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 88130299547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7579, 7578, 7575, 7570, 7563, 7554?\n\"Answer: -i**2 + 2*i + 7578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-5*(sqrt(7) - sqrt(63)) + sqrt(7)*2*-6*3)**2.\nAnswer: 40432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -147*a**3\/2 + 1680*a**2 + 1992*a + 576 = 0.\nAnswer: -4\/7, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12152 - 552356?\nAnswer: -540204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 481 is divided by 256?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.7 and 2907.822?\nAnswer: 2035.4754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2*g = -80, -k + 140 = 3*k + g. Let h = k + -61. Let j = h + 26. Calculate the greatest common factor of j and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*t + 89 = 21 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44191475 is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 5*w = -5, 6*w + 1 = -p + 3*w. What is the remainder when p\/9 - 3383\/(-153) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1258096*t**3*v**2 + t**3 - 4*t**2 + 7*t*v - 12*t - v**2 + 4*v wrt v?\nAnswer: -2516192*t**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5*p + 333 = 0, p = -d - 3*p + 147. Calculate the remainder when d is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28620)\/29700 - (-6)\/10.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b496 - d?\nAnswer: b489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*s + 25 + 143 = -146*s for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -48043, -95735, -142721, -188647, -233159, -275903, -316525?\n\"Answer: 59*t**3 - t**2 - 48102*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 0, -8300, -2, -174, -4 in increasing order.\nAnswer: -8300, -174, -4, -2, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n - 2 + 0 + 2*n + (1 - 1 - 2*n)*(-3 - 1 + 2))*(-26 - 38 + 44).\nAnswer: -60*n + 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11454 is divided by 70.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(1377) + -2 + sqrt(1377) + sqrt(1377)).\nAnswer: -4 + 54*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (7 - 3 - -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*((-6)\/5)\/(303\/(-505)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 1481910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1047*g + 23340 = -3381*g for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/131500 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 7:26 PM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*i - 2*i - 4*i)*(3 - 3 + 2)*(10 + 6 - 4) to the form r + v*i and give v.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 10*u**2 - 12*u - 21. Let x be t(-9). Let l(z) = -14*z + 17. Let q(w) = 13*w - 18. Let j(y) = x*q(y) + 5*l(y). Is j(4) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 542?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3*k - 15. Suppose -3*i = 3*d + 6, 0 = i - 3*i + 5*d + 17. Suppose -10 = -3*z - i. What is the highest common factor of z and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 123\/(-1)*(19\/228)\/((-1)\/(-4)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 91\/(-39)*18\/105?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of m**5\/100 - m**4\/12 + 4*m**3\/15 - 2*m**2\/5 + 6*m - 10. Let b(v) be the first derivative of c(v). Let b(l) = 0. Calculate l.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 3 - 22. Suppose -4*v = q*n - 5, 2*n - 3 = -3*v - 2*n. Let o(x) = 2*x + 3. List the prime factors of o(v).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 11:47 AM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2 = -4*k - 12, 3 = 4*n - 3*k. Let c(q) = -q**3 - 4*q**2 - 4*q + 1. Let l be c(n). Let d(y) = -y**2 + 7*y - 6. Give d(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 27*n**2 - 63*n + 6. List the prime factors of i(24).\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 (base 8) in base 5?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -10464.3 (b) 4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkpkpkkpppppkpkkpkp. What is prob of picking 2 p and 2 k?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 16*j - 17*j - 21, 3*u + 14 = -2*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.05, -3\/7, -4\/7, 0.4, -111?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.008 + 24.1?\nAnswer: 25.108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9985175?\nAnswer: 5, 307, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 57*i + 52*i + 1 - 7*i in the form r*i + j and give r.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 + -16. Suppose 2*q - 17 = 5*w, 0 = i*q + 3*w - 8*w - 18. Solve d + q = -1 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 + 274*o + 7499. What is r(-99)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2839, 7, -2\/15, -2, 0.3 in decreasing order.\nAnswer: 2839, 7, 0.3, -2\/15, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19275 is divided by 9332.\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2\/4 + 276*q - 15885\/4.\nAnswer: -3*(q - 353)*(q - 15)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 280813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hvvhvvvvhhhvvv. What is prob of picking 2 h and 1 v?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 18, -5\/2, 55, -2, -12, -1 in increasing order.\nAnswer: -12, -5\/2, -2, -1, 5, 18, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a decade?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 11066*h - 671309. Determine o(-61).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*y**4\/8 - 2325*y**3\/8 - 237*y**2\/8 + 2325*y\/8 + 63\/4 = 0 for y.\nAnswer: -1, -2\/37, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -2*q**3\/9 + 8*q**2\/3 - 8*q\/3 - 160\/9 = 0?\nAnswer: -2, 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8.165351ml?\nAnswer: 0.008165351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 503 + -494. Suppose 0 = 4*h + p*h. Solve 6*k + 2*k + 40 = h for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -5 + 11 + 26 + 8 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 14 = -5*m, -4*g - 5*m = -2*m for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18645976?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (10 + 9 + -30)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 AM and 4:04 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -110, -169, -290, -467, -694, -965?\n\"Answer: c**3 - 37*c**2 + 45*c - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 701?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 7 + 3, 4*b - 3*c - 227 = 0. Solve 65 = -4*p + b for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 12:09 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7032\/(-252) - (-452)\/(-4746).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3774.925 hours to nanoseconds.\nAnswer: 13589730000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4013?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, o: 3}. Give prob of sequence oop.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -1. Let a(h) = -4*h - 15*h - h + 20*h - h - 1 + 3*h. Let x be (-1 - 5\/(-2))*-2. Calculate x*d(u) + 3*a(u).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-9) + (-4512)\/(-4590). Let p = 2\/51 + a. Factor 0 + 1\/5*q**4 + 0*q**2 - 3\/5*q**3 + p*q.\nAnswer: q*(q - 2)**2*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3000 + 3?\nAnswer: 3003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22206\/7 less than 3171?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -51063 or -51064?\nAnswer: -51063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/13*m**2 + 2\/13*m**4 + 0 + 10\/13*m**3 + 8\/13*m.\nAnswer: 2*m*(m + 1)*(m + 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4797462, 4797470, 4797478, 4797486?\n\"Answer: 8*w + 4797454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 853*o - 36906 = 234*o - 14622 for o.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 + 140. List the prime factors of v.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28b7b0 (base 13) to base 3.\nAnswer: 1212122000220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(11\/((-715)\/26))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/3))**(12\/7)\/(d**(-1\/2)*d\/(d*d**(-1\/6)*d))*(d**(-1\/2))**(-1\/31)*(d\/(d\/(d\/(d**(-7)*d))))\/d*d\/(d*d\/(d\/d**(-5\/6))) assuming d is positive.\nAnswer: d**(5699\/651)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10598 - -10598. Solve 3\/7*l**4 + s + 6\/7*l**3 - 6\/7*l - 3\/7*l**2 = 0 for l.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -309 - -317. Suppose 416 = 18*f + s*f. Calculate the smallest common multiple of 12 and f.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2632, -7297, -15080, -25987, -40024, -57197?\nAnswer: -77512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 306249?\nAnswer: 3, 31, 37, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3 + 91*t**2 + 1809601*t - 1809691.\nAnswer: -(t - 1391)*(t - 1)*(t + 1301)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -47 - -89. Is n a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 493, 3, 5, 3\/4 in decreasing order.\nAnswer: 493, 5, 3, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - (3 + 4) - (-33 - -55).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(-9)*-2)\/((-8)\/708). Suppose 4*x + r - 103 = 0. Solve -5*i = 31 - x for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of k**8\/40320 - k**6\/4320 - k**4\/24 + 2*k**2. Let c(p) be the second derivative of m(p). Factor c(q).\nAnswer: q*(q - 1)*(q + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 64 = 2*w - 3*x, 0 = w + 4*x - 35. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1049525139 and -82?\nAnswer: 1049525221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -15*r**3 + 11*r**2 - 11*r + 11. Let y(q) = 2 + 3*q**2 + q**2 - 5*q - 5*q**3 + 2 + q + 0*q**2. What is -4*g(o) + 11*y(o)?\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 25.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*(5 + (-99)\/(-81) + -8). Let i(s) be the first derivative of -l*s**3 + 9 + 0*s + 0*s**2. Let f(q) = -q**2. Calculate f(i(t)).\nAnswer: -256*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.677 + 0.323. Let v be 0 + (-1)\/(-2*2\/8). Which is the closest to 5? (a) p (b) v (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 8*x + 9 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6193?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 p when four letters picked without replacement from ggpgpgpggggpp?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4\/9 (b) 1\/3 (c) 2\/13 (d) 2\/3 (e) -0.061 (f) 6\/5 (g) 53\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2360 a factor of 2009594280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -68*u - 1656. Give x(-24).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 455.81 kilograms in micrograms?\nAnswer: 455810000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 y when two letters picked without replacement from {y: 1, l: 4, d: 7, f: 1, w: 4, h: 3}.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -21734104 to the nearest 1000000.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 44290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 2*s - 54, -s - 4 + 59 = 4*v. Let k(d) = -d**2 - 10*d + 12. Let f be k(-9). What is the highest common factor of v and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, b: 3}. What is prob of sequence qqq?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 + 48*u + 50.\nAnswer: -2*(u - 25)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -156, -252, -376, -516, -660?\nAnswer: -796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (13*(-29)\/(4147\/(-44)))\/(4*7)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6394.448 + 6374. What is i rounded to one dp?\nAnswer: -20.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (16*x**2 + 19*x**2 + 5*x**2)*(276 + 10*x - 276) - 8*x**2 - 2*x**3 + 8*x**2 in the form m + u*x**2 + t*x + k*x**3 and give k.\nAnswer: 398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2738130 and 35310.\nAnswer: 3210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 9 + 10. Let p(a) = 3*a**3 - a**2 - 2*a - 1. Determine p(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 4*z - 4 - 24, -5*z = 3*m - 23. Calculate the lowest common multiple of 676 and m.\nAnswer: 2028","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 112 = -3*r - 103, -5*h + 3*r = 185. Let l = -26 - h. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2954 + 2933. Sort 0, x, 1, -3, 2 in descending order.\nAnswer: 2, 1, 0, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(4\/5)\/(f**(-4)\/f*f)*(((f*f\/(f*f**0))\/f)\/f)**(-31) assuming f is positive.\nAnswer: f**(179\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34 + 10?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -3*p - 4*w, -31*w + 28*w - 18 = 3*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(5\/(-105)*-77)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of 27*q + 39\/10*q**5 - 13\/2*q**2 + 0 + 1\/3*q**3 + 0*q**4. Find the second derivative of b(h) wrt h.\nAnswer: 468*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -197*v + 3. Let b(z) = -386*z + 3. Let u(c) = -128*c + 1. Let y(l) = -b(l) + 3*u(l). Determine y(n(w)).\nAnswer: -394*w + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - 16.3. Let s = -65 - -68. What is the closest to 0 in s, i, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away 113905?\nAnswer: -113906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.3, -3\/44, -1?\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/30)\/((-1)\/6). Let t = -2 + 4. Suppose 0 = m - u, w*m - 8 = -2*m + t*u. Solve -m*s = -0*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*2 - (-2622)\/(-2185). Factor -2\/5*c**2 + 6\/5*c - o.\nAnswer: -2*(c - 2)*(c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 802 - 447. What is the remainder when w is divided by 90?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*q**5 - 820*q**4 - 45236*q**3 - 534444*q**2 - 1218672*q = 0. What is q?\nAnswer: -31, -13, -3, 0, 252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42 - -78 - 123 - (6 + -10 - -13).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 4*r**3 + 18*r**2 - 15*r + 11. Is a(7) a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183146?\nAnswer: 2, 91573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27463 + 18204. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22748 + 37622. What are the prime factors of w?\nAnswer: 2, 3, 37, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 730010768 to the nearest integer?\nAnswer: 27019","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of 3*v**2 + 2. Let r(m) = 18*m - 18*m + m**2. Calculate n(r(q)).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*q = 2. Let h(k) = 0*k**2 + 0*k**2 - q*k**2. Let z(s) = -13 + 13 - 2*s. Calculate z(h(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/5)\/o*o**(-7)*o*o)\/((o**(-1)*o)\/o**(-10)) assuming o is positive.\nAnswer: o**(-79\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3389, 7516, 14403, 24050?\n\"Answer: 1380*u**2 - 13*u + 2022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ubbubxxu. What is prob of picking 3 b and 1 u?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 2 b, and 1 h when four letters picked without replacement from zeebexhbhehhefzhf.\nAnswer: 5\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 748946160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 3*t = -n, 2*n - 4 = 2*t. Suppose 0 = 3*i + n. Let o = 8 - i. Is o a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w**3 - 2*w**2 + 13*w + 15. Let q(h) = -h**3 - h**2 + 6*h + 8. Give 6*p(b) - 11*q(b).\nAnswer: -b**3 - b**2 + 12*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3711 and 5?\nAnswer: -18555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(75) + (1 + sqrt(75))**2 + (sqrt(3) + 1 + sqrt(3))**2 + 5 + sqrt(147) + 1 + 0)*-1.\nAnswer: -570 - 156*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 333*n**3*x + 24*n**2 + n*x wrt n?\nAnswer: 1998*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 1193*f + 83. Let t(m) = 298*m + 21. Let p(z) = 6*o(z) - 22*t(z). Find the first derivative of p(l) wrt l.\nAnswer: 602","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17375.13 rounded to the nearest 10?\nAnswer: -17380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2226, -2.\nAnswer: -2226, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s**2 - 28*s**2 + 26*s**2 - 30*s**2.\nAnswer: -38*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -145c - 6c076?\nAnswer: -70505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1136 + 1815*u + 1136 + 9462*u to the form m*u + c and give m.\nAnswer: 11277","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42402661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (76 - 72) + (1 - (-4 + 0)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 98710 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*h + 157*h = q - 31, 0 = -4*q - h + 111. Solve 2461*f - 2457*f = -q for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -5.29. Let t = -10 + 10. Let p = t + i. Round p to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**2 + 53*t + 143. Calculate f(-22).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -33528800 minus -0.4?\nAnswer: -33528799.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 8 = 5*r, 47 = -r + 149*t - 144*t for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/(sqrt(588)*-1).\nAnswer: -sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-24 - 63 + 9 + (-3 + 0 + 1)*(2 - 4 + 1))*(22*w - 111 - 12*w - 9*w) to the form s*w + c and give s.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + i + 25 + 6, 3*h - 5*i - 36 = 0. What is the remainder when 2\/h - 4433\/(-91) is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w + 29. Suppose -38*b = -34*b + 60. What is the least common multiple of 14 and l(b)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -374*v**3 + 123*v - 123*v.\nAnswer: -374*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*k - 1 + 1)*(-6 + 2 - 4)*(3 - 2 - 4).\nAnswer: -168*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 21 + 7 = -z, 4*r = -z - 30. Let c = 43 + z. Suppose c*v = -4*v + 6921. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 21) + (-86 - -100) + 0 + -3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*o**3 - 134620*o**2 + 90147*o.\nAnswer: -36*o - 269240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9732\/655 or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -30*n**5 + 155*n**4 + 415*n**3 - 165*n**2 - 305*n - 70 = 0.\nAnswer: -2, -1\/2, -1\/3, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 222026046 (base 7) to base 5\nAnswer: 11413401010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.392 times 1324.8\nAnswer: -519.3216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -509 = 4*r - 525, 3*z - 5*r = 1618. Solve -8*f - 554 = -z for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 + 48 = 15*q. Let c(z) = 320*z - 535. Let m(t) = -481*t + 802. Let s(w) = q*m(w) + 8*c(w). What is the first derivative of s(r) wrt r?\nAnswer: 155","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 402455 - 4214?\nAnswer: 354241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -34\/9? (a) 0 (b) 80 (c) 960 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 52090016 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 171952827 and 2751.\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*t - 5*s, t + 6 - 24 = 2*s. Let k(j) = 51*j**2 - 5*j - 6. Let p be k(-1). Calculate the greatest common divisor of t and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 8152.153 millennia?\nAnswer: 8152153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**4\/13 + 180*h**3\/13 - 1386*h**2\/13 - 201644*h\/13 + 816720\/13 = 0.\nAnswer: -83, -41, 4, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 3*j**3 - 5*j**4 + 7*j**2 + 3*j**4 + 2*j**3 - j to the form k*j**2 + t*j**4 + y*j**3 + d*j + z and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -b93f4 (base 16) to base 12\nAnswer: -307130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - i - 9. Let t(v) = -6 - 5 - 5 - 2*v + 6 + v**2. Let l(r) = -5*t(r) + 6*y(r). What is the units digit of l(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1894, 1894, 1896, 1900, 1906, 1914?\nAnswer: 1924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 12*p**2 - p - 7. Suppose -72 = 10*v - 4*v. Let f be y(v). Solve -43 = f*w - 18 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 38, 140, 292, 482, 698, 928?\n\"Answer: -2*i**3 + 37*i**2 + 5*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4695.\nAnswer: 3, 5, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -202 = -4*u + 5*b + 47, -2*u = -2*b - 126. What are the prime factors of u?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = o - 3. Let x(n) = -n**3 + 7*n**2 + n - 9. Let d be x(7). Let l = d + o. Solve 4*q - 2*f = -0*q + l, -16 = q + 4*f for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19830 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (6\/5)\/(16\/520)*(-6)\/(-18)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 12:01 PM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 6633?\nAnswer: 6633","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49 + -51. Let d = -155.5 - -156. Let r be (-1)\/(1*3\/(-6)). Sort f, r, d in decreasing order.\nAnswer: r, d, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/3)*l*l**(-5))\/(l**(-1\/4))**(-2\/13) assuming l is positive.\nAnswer: l**(-263\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -12231193.6577 and -0.0111.\nAnswer: -12231193.6688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2415928.912 rounded to the nearest 100000?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 11 - 14)*(-2*v**5 + 3*v**5 + 0*v**5).\nAnswer: -15*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2466.834 micrometers to nanometers.\nAnswer: 2466834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196540505?\nAnswer: 5, 7, 59, 95177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 426811 from 3592.5.\nAnswer: -423218.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/sqrt(2)*5 - (sqrt(275)*2)\/sqrt(5))\/((sqrt(405) - sqrt(405)*3)*2*2).\nAnswer: -sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o = 2247516 + 3141384. What is o rounded to the nearest ten thousand?\nAnswer: 490000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**2 - 87*g + 225*g**3 - 5*g**2 - 2*g**2 + 91*g.\nAnswer: 225*g**3 - 6*g**2 + 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 79.\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -86 - -86.1. What is the nearest to 2\/5 in -16, -5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 834770 divided by 166954.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a factor of 134037?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (1680\/588)\/((15\/(-70))\/((-6)\/10))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -1\/3 (c) 0.5 (d) -0.5 (e) 16724 (f) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 8)*(14 - 9). Let n = s + 38. Suppose 4*q = -n*q + 21. Solve -1 = -h - q for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(5*z**2 + z**5 + 5*z**2 - 15*z**2 - 2*z**4).\nAnswer: 2*z**5 - 4*z**4 - 10*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2005355477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/4355 - -55738\/13065. Calculate the common denominator of s and 520\/(-210) - 6\/(-63).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 76397917?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13351 * -8.\nAnswer: 106808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 6, 3167 in descending order.\nAnswer: 3167, 6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qbu when three letters picked without replacement from {k: 1, u: 4, v: 2, e: 1, b: 3, q: 4}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.73 + 0.7. Let c = -0.23 - u. What is the biggest value in c, -0.1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus 3400528?\nAnswer: -3400530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*g - 1\/4*g**4 - 9\/2*g**3 - 117\/4*g**2 - 75 = 0. What is g?\nAnswer: -6, -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -519 + 1152. Does 15 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -o**6\/2 + 33*o**5\/5 + 57*o**4\/2 - 602*o**3 - 735*o**2\/2 + 25725*o + 115. Find k such that y(k) = 0.\nAnswer: -5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f**2 + 1110 - 5*f**2 - 1110.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 126338074 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -507 by -463.\nAnswer: 507\/463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 21220012101 (base 3) in base 14?\nAnswer: 408d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 + -26. Let f = -4 + i. Sort f, 0.4, -0.4 in increasing order.\nAnswer: f, -0.4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12454456 - 3?\nAnswer: -12454462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 344*r - 123 - 10057 - 14932 = 0 for r.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-5))\/v**(1\/9)*v**(-1\/5)*v*v\/(v*v*v*v**(-2\/15))*v)**(-3) assuming v is positive.\nAnswer: v**(188\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -1\/4*q**4 - 6*q**3 - 24 - 13*q - 33\/2*q**2. Let b be w(-16). Calculate the highest common factor of 3 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2669511\/4 greater than 667378?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -191 + 191.3. Which is the smallest value? (a) -41 (b) -0.3 (c) s (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(117) - (-1*sqrt(117)*-3 - sqrt(117))))\/((6*sqrt(324) + sqrt(9))*3).\nAnswer: -sqrt(13)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -24 in descending order.\nAnswer: 4, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 234703.825 to the nearest 1000.\nAnswer: 235000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51274512.\nAnswer: 2, 3, 118691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3947 (b) 1 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v - 1. Let r be 2 - -1*(-8 + (8 - 4)). What is b(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 134 = 2*l, -5*l - 220 = -l + 2*f. Let d = l - -60. Solve d*s = 4*x - 31, 3*x - 7 = -0*s - s for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.2 (b) 3\/2 (c) -3 (d) -2\/3 (e) -14 (f) 18 (g) 1.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-79 - -18) + 62 - (-5 - 0 - 1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 6*q - 10. Solve -4 + 14 = 2*a + 2*t, 7 = -q*a + 3*t for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, c: 2, j: 4, e: 1}. Give prob of sequence aej.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -3.600806?\nAnswer: 14.403224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 1293 = 2*c - 4582, 3*c - 4*j = 4959. Calculate the highest common factor of 17 and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56, 12, 1 in descending order.\nAnswer: 56, 12, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 356*q - 30*q**3 + 144*q**3 - 29*q**3 - 54*q**3 - 33*q**3.\nAnswer: -2*q**3 + 356*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 642 = -3*q + 222. Let n be 4\/5*(-50)\/q. Factor -2\/7*m + 0 - n*m**2.\nAnswer: -2*m*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**3 + 106*n**2 - 1458*n + 1632. Give a(28).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-10)*(-5 + 0). Let h(j) = j**3 + j**2 - j + 6. What is the remainder when 1\/(66\/(-34) - a) is divided by h(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 9*z**2 + 9*z - 8. Let w be n(-2). Solve -w*u = -v - 1, -10*u - v = -5*u - 6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 4. Let q(l) = 7*l - 1. Let s(b) = 19*b**2 + 3*b - 7. Let f be s(-2). Let p(t) = 38 - f + 25 - t. What is d*p(c) + q(c)?\nAnswer: 3*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1 (b) 5 (c) 138 (d) -1 (e) 1277 (f) 2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67880455.\nAnswer: 5, 47, 288853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -1.05?\nAnswer: 3.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.013117 + 0.043117. Let u = 0.3 + -0.26. What is the smallest value in u, 0.5, y, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3ac - 15954?\nAnswer: -15597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n - 44*n - 180 = 0. Let k = 6 - n. Suppose -3*o - 2*h + 325 = -3*h, o = -2*h + 106. What is the greatest common factor of k and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 6*k**2 - 22*k + 5. Let l(m) = -9*m**2 + 33*m - 8. Calculate 5*l(f) + 8*w(f).\nAnswer: 3*f**2 - 11*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11 - 260?\nAnswer: -24d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 68 - -1734?\nAnswer: 1802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*h - 3*h. Let u = 15 - h. Suppose 2*i = -2*i + u. Let p(g) = 2*g - 3. Calculate p(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140452 + 103*y + 280901 - 140449.\nAnswer: 103*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3503 + a?\nAnswer: -34e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 32 = 4. Let p = -3 + h. Suppose -x - p*x = -2*k + 83, 0 = 4*x - 4. Calculate the remainder when k is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/20 + (-22)\/(-8). Let f = g - 18. What is the remainder when 19 is divided by (-4)\/(-6) + (-140)\/f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -6*d + 41. Suppose -v + 5*x = -0*v - 13, -2*v + 3*x = -12. Find the second derivative of v*h + 11 - 5*h**d - 11 wrt h.\nAnswer: -60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.6 * 3216.\nAnswer: 14793.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 5*v**2 + 8*v - 9. Let c be w(6). Solve -d = 2*s + 1, -d = -c*d + 4*s - 18 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 153830105?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 2589 (c) 1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17231176?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182854 is divided by 456?\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -94.08 - -99. What is i rounded to 1 decimal place?\nAnswer: 4.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of 29*g**4\/12 - 32*g - 2. Let w(n) = -2*n**2. What is j(w(f))?\nAnswer: 116*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + 5*a - 2. Let b = 10 + -16. Let s be c(b). Suppose -k + 2 = -2*q, 2*q = -2*k + s*q + 6. Solve k*i - 25 = -0*l - 5*l, -2*i = -2*l - 8 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + y + 28. Give u(0).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 11*v = -l - 3133992, l - v + 3134004 = 0. Round l to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -356608 - 356?\nAnswer: -357065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 984413*x + 15 = -984411*x, -25 = 5*u - x for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -5*h + 27, 2768*h - 29 = 2763*h - g for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -20830 equal to 5\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*z + 533611 = -34*z + 5*n, 400237 = 3*z - 2*n. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d**5 + 3*d**4 + 300*d**3 + 4*d**2 - 177 wrt d?\nAnswer: -120*d**2 + 72*d + 1800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -153 - -2146. List the prime factors of b.\nAnswer: 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -59270 and 207.6.\nAnswer: -12304452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and -67063674026.\nAnswer: -67063674026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -380*i = -378*i + h + 10, i + 2*h = -8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (15\/25)\/(21\/(-10)) - 0\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83216809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 919951716*c**5 - 8995008*c - 33 wrt c.\nAnswer: 18399034320*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmeimmei. Give prob of picking 1 e and 2 m.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-6)*w*w**0)\/(w**4*w**(-2\/23)*w))**(-8\/7) assuming w is positive.\nAnswer: w**(1824\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -182, 0, 5 in descending order.\nAnswer: 5, 1, 0, -182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 4*u - 3. Let f be 3 - 4 - 2 - -5. Let x(b) = f - b - 3 + 2. Give 2*x(h) + y(h).\nAnswer: h**2 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*v + 185 = 110 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 b when two letters picked without replacement from xpafbtf?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + -24381234954484.\nAnswer: -24381234954483.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 2*p - 100, -4*p = -2*i - 9*p + 52. Let m be -4*(-21)\/i*3. Solve -3*d = -m*d + 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 greater than 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = 15, -1022 = 11*k + 4*n - 966 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 2, -3, -2, 1 in ascending order.\nAnswer: -3, -2, 1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*q = 15*q + 55 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -94 - -323093 - (4\/(-18) + (-40)\/(-18)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-7\/4)*u)\/u*u\/u**3)**(-31\/5)\/(u\/(u**(-1\/26)\/u*u)*(u\/(u**8*u))\/u)**(-49) assuming u is positive.\nAnswer: u**(-19077\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4261498\/105 - -40586. What is the common denominator of -52\/921 and p?\nAnswer: 32235","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -22*c - 15. What are the prime factors of n(-5)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174 = 4*o - 138 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (-8 - -3) + 6 - (-4 - (3 + -7)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2109 + -14797\/7. Let q = -238017\/55121 + -1\/10022. Calculate the common denominator of y and q.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0021*-0.47994\nAnswer: 0.001007874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3648967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 801 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*n + 0*n + 3*n)*(-3*n + 5*n - n)*(0 - 3 + 5)*(-9*n**2 - 36*n**2 - 9*n**2)*(-4 + 0 + 5) in the form y*n + w*n**2 + c*n**4 + v*n**3 + b and give c.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 251019405 divided by -2457.\nAnswer: -102165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37 - 32. Let m = 5.00034 - o. Round m to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -106*n + 144*n - 134*n + n**2 to the form i*n**2 + h*n + k and give h.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 25*h + 21*h - 24 = 0, -a - 4*h = -6 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = f + 49289, -36*x = -34*x - 2*f - 19722. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -504, -436, -322, -162, 44, 296?\n\"Answer: 23*y**2 - y - 526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 409409023 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 33 + 230530113?\nAnswer: 230530150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4414666 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-6)*(-12)\/150*(-10)\/6?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w + 4 - 4 + (-1 + 3 + 5)*(-w - 5*w + 4*w).\nAnswer: -16*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (11 + -1)\/((-2)\/2 + -5)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 260 and 21420.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/2 (b) -80688 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 6:37 PM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1008 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/204, 30\/17, 1.8?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/147? (a) -2 (b) 64105 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00016527294 to seven dps.\nAnswer: 0.0001653","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42 (base 15) to base 3.\nAnswer: -2022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + s - 2. Let j(u) = 3*u**2 - 7*u + 4. Let p(q) = -7*q**2 + 14*q - 7. Let w(k) = -5*j(k) - 2*p(k). Let i be w(6). Determine m(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 5*t - 4, 3*t - 6*t - 4 = -h. Put h, -3, 5 in increasing order.\nAnswer: h, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -12, -1.\nAnswer: -12, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -25*h**5 + 35*h. Let b(u) = 12*u**5 - 18*u. Let v(f) = 11*b(f) + 6*z(f). What is the second derivative of v(l) wrt l?\nAnswer: -360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 6) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - n = -6, 515*m - 520*m + 5 = 5*n. What is the closest to -0.1 in -1\/5, 2, m, 262?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/107 - -101\/321. Suppose -20 = -4*b - 4*p - 8, -b = 4*p - 9. What is the closest to b in 5, -5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/6*24\/(-16). Let j = 1 - q. Which is greater: j or -0.17?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gtgtjgt. What is prob of sequence jtgg?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18121558 is divided by 214.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 378*h**3 + 18*h**2 - 18. Let g(s) = -108*s**3 - 5*s**2 + 5. What is 18*g(l) + 5*r(l)?\nAnswer: -54*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**3 - 173*m**2 + 16 + 14*m + 327*m**2 - 179*m**2. Let s be n(-13). Solve -d = -s*w - 5, d = 4*w - 0 + 7 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -592 or -2958\/5?\nAnswer: -592","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 18 = 14*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 440567129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3 = 12. Put -1, -4, f in decreasing order.\nAnswer: f, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 489, 930, 1367, 1800?\n\"Answer: -2*b**2 + 447*b + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -0*l - 72. Suppose g - 14 = -u - 2*g, -4*g = u - l. Suppose u*a - 9 = -a. Solve 4 = -5*d + a*d - p, 3*d - 3*p = 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 - -42. Suppose a*n + 65 = 3*n. Let z(c) be the first derivative of c**3\/3 + 3*c**2 - c + 1. Give z(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**2. Let u(w) = 34607964*w**2. What is f(u(m))?\nAnswer: -2395422344450592*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 23*q - 71. What is k(14)?\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 3*q = -10, -3*q = -3*v - 0*q - 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**3 + 4*d**3 - 305*d**4 - 23176*d**2 - d - 1 + 23170*d**2 as s*d**2 + g*d**3 + k*d**4 + r + h*d and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (4 - 12 - 4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 10, 25, 54, 103, 178?\n\"Answer: x**3 + x**2 + 5*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y. Let o(k) = 2*k**2 + 2*k. Let m(b) = 3*o(b) - 2*p(b). Let h(d) = -26*d + 13*d + 9*d. What is h(m(f))?\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2840293 + -9559885. Let p = -8650178 - a. Round p to the nearest one hundred thousand.\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 142 + 38. Suppose 0*w = -2*w + l. Is 9 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 248 = 4*m + 4*z, -3*m + 3*z + 192 = -0*m. What are the prime factors of m?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 63.51 (b) -1\/7 (c) -2\/583\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.06449 - 1.16449. Let g = -0.05 + 2.05. Which is the third biggest value? (a) g (b) 5 (c) t (d) 66\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -435*x + 3. Let a(l) = 83083*l - 572. Let q(v) = 3*a(v) + 572*t(v). Let p(i) = 2*i. Calculate p(q(u)).\nAnswer: 858*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 21547 - -6?\nAnswer: 21553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 14. Suppose h*p - 20 = -2*p. What is the greatest common factor of p and 80?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of 3*y**5\/4 - y**4\/6 + y**3\/3 - y**2\/2 + 4*y. Let h be n(1). What is the common denominator of -42\/11 and 0 - h\/10 - -2?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**4\/11 + 90*p**3\/11 + 1887*p**2\/11 + 3422*p\/11 = 0 for p.\nAnswer: -59, -29, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 283 - 27 = 8*p. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 - -26) + (5 + -2 - 2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vpvvypvpypvpv. What is prob of picking 2 v and 2 y?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 - 260\/45 - 16\/(-9). Solve p*f + 5 = -3*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -5*l. Let x(w) = -5*w - 1. Let k(a) = -h(a) + 2*x(a). Calculate k(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, h: 1, x: 5, u: 3, p: 1, n: 1}. Give prob of picking 1 p, 1 h, and 2 x.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 j when two letters picked without replacement from kcgggggggggkkj.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/672 and 77\/1395?\nAnswer: 312480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-145)\/58*(0 + -7 + 1\/(-5))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i - 601 = -573 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1668345, -1668349, -1668355, -1668363, -1668373, -1668385?\n\"Answer: -u**2 - u - 1668343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 397734 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n - 7. Let y be g(3). Suppose z - 2*l + 564 = 0, -3*z + 454 = y*l + 2130. Round z to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-87)\/4*(-80)\/30. Let c(j) = 2*j**3 - 49*j**2 + 39*j - 99. Let s be c(24). Calculate the highest common divisor of s and b.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**2 + a**2 - 2*a + 16*a**3 - 10*a**3 wrt a.\nAnswer: 36*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 - -18. Suppose d*r = r + 126. 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: Factor -64*z**2 + 518*z - 48.\nAnswer: -2*(z - 8)*(32*z - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.238 - 0.762. Which is greater: 407 or o?\nAnswer: 407","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000898221 rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 0 + 3 = 0. Which is the third biggest value? (a) r (b) -5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 16, 45, 92, 157, 240, 341?\n\"Answer: 9*t**2 + 2*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 g, and 1 a when three letters picked without replacement from {k: 5, g: 7, a: 2, i: 4}.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-5)\/3)\/((-30)\/36). Suppose 5*k = 3*h + 4, h - 8 = -s*h - k. Suppose -t - 2 = c, 5*t - h*c - c = 14. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76387889 to the power of 1\/2, to the nearest integer?\nAnswer: 8740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u**3 - 11*u**3 + 7*u**3 + 5*u**3 - 6*u**3.\nAnswer: -10*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 8*t**3 + 8*t + 9. Let n(c) = -23*c**3 - 23*c - 26. Let y be (4\/(-2) - -3)*(31 - 14). Give y*z(a) + 6*n(a).\nAnswer: -2*a**3 - 2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*c**2 - 3*c**2 - 2*c**2)*(-2*c + 2*c - 2*c) + (2 - 2088*c - 3 + 2241*c)*(0*c**2 + 3*c**2 - 2*c**2) in the form g*c**3 + n + y*c**2 + h*c and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert acaa1 (base 13) to base 2.\nAnswer: 1001100100111000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-168)*-6)\/(298\/(-1043))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Express -424*c**2 + 474*c**2 + 228*c**3 - 225*c**3 - 72 as n*c + y + m*c**3 + h*c**2 and give y.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of 0*l**3 - 3*l - 3 - 1\/12*l**4 + 0*l**2. Let i(y) be the first derivative of k(y). Factor i(g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 7*p + 21. Let q be r(-4). Let f(c) = -c**3 - 4*c**2 - 8*c + 6. Is f(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 10) in base 3?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 5*s**2 - 4*s + 2. Let d(h) = 14*h**2 - 11*h + 5. Give -4*d(q) + 11*v(q).\nAnswer: -q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - x**2 + 11*x + 30. Suppose c - 19 = 3*n, -3*c + c + 2*n = -38. Calculate the remainder when d(-5) is divided by c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in 232, 97, -0.19?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from piipiipiiip. Give prob of sequence ii.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 18*j**2 + 39*j + 13. Let i be q(20). Let r = 6 + 12. Let c = r + i. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 4*u - 1. Let r(d) = 0*d - 6 + 2*d - d. Suppose 4*t - 20 = 16. Let s be r(t). Calculate w(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1824556?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 438 + -437.5. Let u = 0 + 0. Which is the closest to u? (a) 2\/3 (b) 4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j = -13*j - 53116. Suppose -10639 = -11*y + j. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 - 30. Let q be (-405)\/(-18) - (-2)\/v. Calculate the greatest common factor of q and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1750200 to the nearest 10000.\nAnswer: -1750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and 3531.\nAnswer: 3533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2. Suppose 4*h - 3*d + 3 = 15, 2*h + 4 = 4*d. Let l = h + -4. Let k(p) = -4*p**2 + 6*p**l + p**2. Calculate x(k(w)).\nAnswer: 9*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 120869, 120877, 120889, 120899, 120901, 120889, 120857, 120799?\nAnswer: 120709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**4 - 2*x + 0*x - 17*x**3 + 7*x**3 + (-6 + 2 - 2)*(-2 - 3 - 5)*(6*x**2 - 6*x**2 + 7*x**4) to f*x + c*x**4 + p*x**3 + b + z*x**2 and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 13018 + -4082. Let z = s - 2415. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -659640428 divided by 225364?\nAnswer: -2927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -165 - -217. Suppose a*k = 53*k - 3. Solve k = -z - 1 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of 19*d**4\/4 + d**3\/3 + d**2\/2 - d - 1. Calculate q(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 4. Let d = x + 0. Sort -5, d, 3 in decreasing order.\nAnswer: 3, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 260810 and 342782583?\nAnswer: 3427825830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -0.3, -12, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {s: 6, b: 6}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w + 8. Let j be d(-6). Let h(v) = 23*v**2 - 310*v + 1018. Let a be h(8). Solve j*r - 4*r = -a for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**5 - 6*i**4 - i**3 + 6*i**2 = 0. Calculate i.\nAnswer: -1, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by (3\/2)\/(39\/364)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6548.06ug in nanograms?\nAnswer: 6548060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-4) - 1)*-12. Let c be -1 + 0\/(z\/(-2)). Let t be (-2)\/4*(-4)\/(-6). Which is greater: t or c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) 2\/17 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1564*n**2*p**3 - n**2*p**2 + 2*n**2*p + 65*n*p**3 - n*p**2 - 3*p**3 + 3 wrt n.\nAnswer: 3128*p**3 - 2*p**2 + 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 57.1 - 17.9. Let l = i - 71.4. Let p = 34 + l. What is p rounded to zero dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*o**3 + 3875 - 3875.\nAnswer: 13*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(275) + sqrt(275)*2 - sqrt(275) - sqrt(275))**2.\nAnswer: -275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*y - 43*y + 7721582 = 0. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 405747817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 269595608 to the nearest integer?\nAnswer: 646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102210211202020 (base 3) to base 13.\nAnswer: 13b96a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 88*l - 87*l - 2, -2 = -l + 3*j. Suppose 3*z - 6 = -l*t + 22, t - 35 = -5*z. Let a = 0 - -46. Calculate the lowest common multiple of a and z.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 4*r**2 + 11*r - 39. Let k be x(4). Let a(y) = y**2 - 4*y - 1. Let o be a(3). Let f be 65\/12 - 1\/o. Is f at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/3)\/(18\/3))\/(5*(-9)\/8370)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, -2, 10, -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -2\/109, 0.\nAnswer: -1, -2\/109, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109539.\nAnswer: 3, 4057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*b - b + 3*b)*(3 - 3 - 3) - 10*b + 3*b - 21*b to m + k*b and give k.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 - 175*f + 27476. Give d(-275).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 8, o: 3}. What is prob of sequence vv?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -932*b = -922*b - 80 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49317266, -49317253, -49317242, -49317233, -49317226, -49317221, -49317218?\nAnswer: -49317217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o**4 + 0*o**4 + 3*o**4 + (0*o**3 + 4*o**3 - 6*o**3)*(0*o + 0*o - o) - 2*o**4 + 0 + 0 + (-o**2 + o**2 - o**2)*(o + 2*o**2 - o).\nAnswer: -3*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00320981 rounded to four decimal places?\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*j + 6*j + 2*t, -j - t = -6. Suppose 7*b - 6*b - j = 0. Calculate the highest common factor of b and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 77050697*k**4 - 107132222*k**2 wrt k.\nAnswer: 1849216728*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 f when two letters picked without replacement from {f: 2, y: 1, q: 5, m: 1, n: 6, k: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101010130 (base 4) to base 14.\nAnswer: 1b6a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 4 - (5 + -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 3*w + w, 2*w - 16 = -5*p. Suppose 346 - 74 = p*u. Is u a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 27*4*(-1)\/(-12). Suppose 0 = 3*m + 3*i + 213, -c*m + 5*m + 3*i - 249 = 0. Let y = m + 86. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-8)*5)\/(88569\/(-109008))\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 450 is divided by 38?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -13*x**2 + 4. Let k(b) = 15*b**2 - 5. Let r(d) = 5*i(d) + 4*k(d). Let y(z) = -2*z. Give r(y(j)).\nAnswer: -20*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -1. Let y = 38 + -18. Solve j - 3*j + 3*m = 7, a*m - y = -5*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12.8 and 0.4?\nAnswer: -5.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, -0.03, -1\/3, 25, 0.6, -3\/2?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 7605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3615837\/26 or -139070?\nAnswer: -3615837\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -821*y - 2392. What is d(-3)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p + p + 599 - 563 to the form q + o*p and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*m - 20 - 12. Let q(t) = t - 1. Let p(x) = -8*x + 9. Let i(f) = m*p(f) + 18*q(f). Let d(j) = 49*j**2. Give d(i(h)).\nAnswer: 196*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/2)\/(-1)*(-2192)\/(-31236).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2 - 52280*p + 52278.\nAnswer: 2*(p - 26139)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1422744?\nAnswer: 2, 3, 59281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 4 = 12 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 15*z**2 + 23*z + 17. Is t(-17) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2287443 - 4?\nAnswer: 2287439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 17*w - 932 = 21*w, w - 478 = -f. Calculate the remainder when f is divided by 146.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + u - 3 = w, 0 = -4*u + 20. Calculate the highest common factor of 2 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f + 1. Let n(q) = 2*q + 2. Let v(d) = 5*b(d) - 3*n(d). Calculate v(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167435 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7698?\nAnswer: 2, 3, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 7*f**2 + 10*f + 24. Suppose -50 = 5*j - 5*y, -34 = 3*j - 4*y - 0. Let w be c(j). Suppose 4*s - 14 = 2. Solve -2*v + 10 - s = w for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*k*v**5 + 315*k*v**2 - 3*k*v + 25*k + 4*v + 2 wrt v.\nAnswer: 80*k*v**3 + 630*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cscu when four letters picked without replacement from {s: 4, z: 2, c: 3, a: 1, q: 2, u: 2}.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 18*y**2 - 9*y + 11. Let t be r(17). What is t rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/sqrt(7)*-6 + sqrt(11) + -1 + 3 + 3.\nAnswer: -5*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 4:08 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 351 + 504 = -95*n for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 38, 56.\nAnswer: 4, 38, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 19978952\/(-8)*(-3 - -2). Let k = g + 1902631. Round k to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5 - -1) + (-14 - -13) - 1. What is the third derivative of 22*t + 6*t**4 - 10*t**3 - 39 - 22*t + t**2 - 3*t**2 + 2*t**q wrt t?\nAnswer: 192*t - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121236 (base 7) to base 10.\nAnswer: -22077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**2\/11 + 1913124*i\/11 - 1913126\/11 = 0. Calculate i.\nAnswer: -956563, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 0 - 60 - ((-57 - (26 + -55)) + 27).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 39288, 39290, 39292, 39294?\n\"Answer: 2*u + 39286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t + 1. Let b be (1 + 1 - 5) + 31. Let w be 120\/b + 2\/(-7). Let c(x) = -x**3 + 5*x - 4. Determine w*u(d) + c(d).\nAnswer: -d**3 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*b + 1104 = -1424 - 192 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 9:23 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 509828, 509811, 509794, 509777, 509760?\nAnswer: 509743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(76) + sqrt(38)\/sqrt(2)*6 - (sqrt(1900) + 0 + -3))**2 + (sqrt(931) - sqrt(931)*-2*2 - (6*(sqrt(114) - sqrt(114)*-2))\/sqrt(6))**2.\nAnswer: 8*sqrt(19) + 5571","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 29365.76 litres in millilitres?\nAnswer: 29365760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 12*c**2 + 3*c + 3. Let q be t(-1). Let k be (-9)\/(-1)*2\/q + 0. Factor -1\/2*r**3 + 5\/2*r - 1 - k*r**2 + 1\/2*r**4.\nAnswer: (r - 1)**3*(r + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-92)\/22 + (-12)\/(-66). Let u(g) = -g**2 - 3*g + 5. Let v be u(m). What is the tens digit of (v - 0)*(5 + 21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -i**4\/2 - 2*i**3 + 39*i**2\/2 - 27*i = 0.\nAnswer: -9, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + 19*y**2 - 3*y + 9. Suppose 4*u + 56 = -5*i, 7*i = 2*i + 20. Calculate the lowest common multiple of 24 and o(u).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-5) - (-29842)\/20. Let d = 1450 - s. What is the common denominator of ((-2)\/18 - 35650\/(-13860)) + 6\/7 and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2855944 is divided by 190376.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 71016?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000269508 rounded to 6 decimal places?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -0.11, -1\/7, -3\/4 in ascending order.\nAnswer: -3\/4, -1\/7, -0.11, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 110 + -76. Suppose 5*a = -3*r - 134, 0 = a + r + 2*r + o. Round a to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 1284?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9678, 9680, 9682, 9684, 9686?\nAnswer: 9688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 0, -6 in decreasing order.\nAnswer: 5, 0, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of 0 - 17\/20*v**5 + 13\/3*v**3 - 19*v + 0*v**2 + 0*v**4. Find the second derivative of i(k) wrt k.\nAnswer: -102*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of 0 - 8*v - 1\/6*v**3 + 0*v**2. Let n(u) be the third derivative of u**5\/10 + 4*u**2. What is x(n(g))?\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12664\/2715 + -2\/905. Let p = z - -86\/21. Are p and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184 = -44*r + 36 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 6, 1, -342, 332, 4, 5 in descending order.\nAnswer: 332, 6, 5, 4, 1, -3, -342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 77661843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 377\/5 - 76. Let s = 1 - -2. Suppose -2*k - 1 = u, 0*u = s*u - 3*k - 24. Which is the closest to u? (a) -1\/3 (b) x (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 15. Suppose k - f*k + 9 = 0. Let i be 3*(4\/(14 - 2) + 1). Sort k, i, 2 in descending order.\nAnswer: i, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1394, -6007, -13692, -24449?\nAnswer: -38278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 665763 is divided by 1146.\nAnswer: 1083","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/7, 3, -3, 0.846?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 (base 5) in base 14?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -0.03 (b) 2\/15 (c) -2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 400*m**3 - 98*m**3 - 107*m**3 - 102*m**3 - 99*m**3.\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 374 by 14.\nAnswer: 187\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2)*(0*w + 0*w - w**2)*(-2*w**2 - 5*w**2 + w**2).\nAnswer: 12*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00020371822 rounded to five decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2416*f - 312*f**2 - 1929*f - 2 + 2 wrt f.\nAnswer: -624","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -193 + 188. Is (-5)\/w + 39 + 1 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m**2 - 20*m - 3. Let t be b(-8). Let g = -31 - t. Suppose 0 = -d + 2 + g. Solve -d = 3*x - 12 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1344\/126 - (10 + 1))\/(3 + 7 + -9)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 198943?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -10*m + 103\/60*m**5 - 5*m**2 + 0 - 1\/6*m**3 - 1\/2*m**4. What is the second derivative of x(s) wrt s?\nAnswer: 206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -24\/13 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -627 at least -627?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 15*z**2 - 7*z - 2. Calculate the lowest common multiple of t(-2) and 24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1830397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3558, -7131, -10724, -14337, -17970, -21623?\n\"Answer: -10*r**2 - 3543*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 167429 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 35*t**4 + 12750*t**3 + 49945*t**2 - 1460970*t - 421200 = 0. Calculate t.\nAnswer: -360, -13, -2\/7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in -138, -2\/17, -1\/10, 0.4, 0.1?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -241*o - 3. Let h(f) = 480*f + 8. Give -2*h(a) - 5*r(a).\nAnswer: 245*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 227 + -80. Suppose 6*r + 2*p - 50 = 4*r, -r + 2*p + 13 = 0. What is the highest common factor of n and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wada when four letters picked without replacement from {b: 1, d: 2, w: 4, a: 4}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6084 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 6*o**2 + 4*o + 2. Calculate the least common multiple of 9 and s(6).\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1435 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 + 3*c - 1. Let n be a(2). Let k be 21\/(-7) + (4 - n). Suppose -m = -k*m - 191. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 296 and 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(1*(-1 + 2)). Let z be 0 + -1 + w + 9. Let j(n) = -3*n - 10. Let r be j(-4). Sort r, -1, z in descending order.\nAnswer: r, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16780 + 4062*g - 16780 as m + j*g and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**3 + 2*f**2 - 1 + 22*f - 2*f**2 - 114*f - 78*f to p*f + s*f**3 + z*f**2 + r and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of 7*w**6\/120 + w**5\/10 - w**4\/3 + 2*w**3\/3 + 17*w**2 - 9. Let n(r) = r**3 + r**2 - r + 1. What is 6*n(g) - v(g)?\nAnswer: -g**3 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1236226.05us?\nAnswer: 0.000014308171875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29973.\nAnswer: 3, 97, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10729 + 1731 - 22*n**3 + 1734 + 7264.\nAnswer: -22*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - 4*m**2 - 5*m + 7. Let v(b) = -b**3 - 5*b**2 - 5*b + 1. Let a be v(-4). What is the units digit of k(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 less than -2379493?\nAnswer: -2379452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3518668*r**2 - 3520080*r wrt r.\nAnswer: 7037336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 30 = -3*u, -5*u + 20 = 5*v - 4*u. Suppose 0 = -5*g + 5*s + 2770, 37*s + v = 32*s. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*(-3)\/(-6) + (-98681)\/88*-8. What is the highest common divisor of 60 and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/(-9)*(10 + -13)*1. Factor 0 - 2\/7*c**5 + 0*c**2 - 4\/7*c**t + 6\/7*c**3 + 0*c.\nAnswer: -2*c**3*(c - 1)*(c + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -8 + (-9 - -16).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22210 - 1?\nAnswer: 22202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2508 divided by -6?\nAnswer: -418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 284027449 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-12)*79\/(9480\/(-288)). Solve 0*v - b*v**2 + 4\/5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 130 (b) -2 (c) -1 (d) -9 (e) 583\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**2 - 24*u + 1023 - 49*u - 15*u - 26*u + 114*u.\nAnswer: -3*u**2 + 1023","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -5 + 3. What is the units digit of (-1 - g)\/((-2)\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 630 + 429. List the prime factors of p.\nAnswer: 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence chvv when four letters picked without replacement from {v: 10, c: 1, h: 2, a: 1, l: 2}?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 - 13.5. Let i = 7 - y. Let t = -13.5 - -14. Sort i, 0.4, t in decreasing order.\nAnswer: t, 0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -773 + 690.8. Let y = 16.2 + u. Let o = y - -68.2. What is o rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 43330 and 99040?\nAnswer: 693280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - 2*2\/(-14). Let q = 0.19 + -0.09. Let v(m) = 6*m**2 - 2*m + 1. Let u be v(1). Which is the nearest to q? (a) -3 (b) k (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wo when two letters picked without replacement from auxpwuo.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 578334 is divided by 274.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f - 6. Suppose u + 5 = 5*z, 4*u + 10 = 5*z - 10. Suppose z = 4*h + 4*k, 0 = -4*h + 5*k + 14 + 22. Give q(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + -6. Let r(y) = 2*y**2 + 5*y + 8. Let w be r(-2). Let v be (-20)\/15*(-9)\/w. Is j at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 12:49 PM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 8:27 AM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -82 + 43. Let w be (-65)\/h*6\/5. Find the third derivative of 14*z**3 - 3*z**w - 2*z**3 - 48*z**3 wrt z.\nAnswer: -216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.6696 - 0.9696. Sort -2, 23, a in decreasing order.\nAnswer: 23, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -66\/247 - -8\/19. Which is the second smallest value? (a) j (b) 68 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1760792458?\nAnswer: 2, 7757, 113497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*u + 4*h, -h - 2*h + 3 = -3*u. Suppose -x + 2*x + 5*m = 14, 2*x - 10 = -4*m. Which is the second biggest value? (a) u (b) x (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-1 - -1*(7 - 3)). What is the second smallest value in 2\/17, t, -2\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of a**5\/60 + 13*a**4\/24 - 10*a**3\/3 - 20*a**2. Let c be j(-17). Calculate the highest common factor of c and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -733*m + 67. Let a be p(-1). What is the highest common factor of 250 and a?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7891561.\nAnswer: 373, 21157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*(8 - 5 - 2). Suppose 0 = -2*u + 4*x + 297 + 875, 2*u = p*x + 1176. Is u a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 3. Let i = j - 2. Suppose 0 = -i*k - 2*k. Which is smaller: 1\/2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2410 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: Solve -4*k = 4*c + 12, -4*c = 5*k - 70 + 87 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 106108474 and 558.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19 or 0.026204?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 13*k**4 - 4*k**3 + 25*k. Let d(u) = -38*u**4 + 11*u**3 - 75*u. Let w(r) = -4*d(r) - 11*o(r). Find the second derivative of w(v) wrt v.\nAnswer: 108*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 7 - 3)*(2*f - 2*f + f**5) + 4*f**5 - 3*f**5 + 0*f**5 + (3*f**5 - f**5 - f**5)*(0 - 3 + 5).\nAnswer: 7*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6927, -6928, -6929, -6930?\n\"Answer: -n - 6926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 5*c - 3. Let g = -5 + 9. Let t = g - 1. List the prime factors of h(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40126108 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 23 and 56.2159736.\nAnswer: 79.2159736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1453 - -1452.8. Which is smaller: t or -32\/13?\nAnswer: -32\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/2)\/(13364\/130299)*2?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -40233211 (base 7) in base 15?\nAnswer: -45d734","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (h - h + h**3)*(-225*h - 1356*h + 7318*h + 3156*h) as p*h**3 + l*h**4 + i + x*h + z*h**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 275 a factor of 273625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1857\/23, -0.2, -1.2 in descending order.\nAnswer: 1857\/23, -0.2, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 44.6?\nAnswer: -13.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -11, 996\/29, 1\/9, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -335509 divided by -5\nAnswer: 335509\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3 + 92*a**2 - 342*a + 252.\nAnswer: -2*(a - 42)*(a - 3)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - (3 + 0))\/(16 - 18). Let o be (-5 - -194002)*-1 + l + -3. What is o rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87141 is divided by 411?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16136 and 5872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 2*z - 401 = 5*z, -z - 302 = -3*v. List the prime factors of v.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 69806 - -1245. List the prime factors of n.\nAnswer: 227, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + y + 4*f - 10 = 0, f = 5. Let a be y + -2 + 3 + 1. Suppose -4*d + b = -60, a = 2*d + 4*b - 56 + 8. Calculate the remainder when 46 is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13895\/6 - -2305. Let j be 70\/6 + (-4)\/6. Let p = f + j. Which is the closest to 0.1? (a) 0 (b) p (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/5 - 2588*v - 4186090.\nAnswer: -2*(v + 3235)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 12 = -13. Factor 84*l + 13*l**t - 40*l**2 - 2*l**5 + 12*l**4 - 38 + 2 - 7*l**5 - 24*l**3.\nAnswer: 4*(l - 1)**3*(l + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 548 + 4*b - 95 - 3326*b**4 - 4*b + 2929*b**4 with respect to b.\nAnswer: -1588*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/56 and 9\/188.\nAnswer: 2632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 4 + 2*q + 2*q**2 + 3 + 3*q**2 to the form k*q**2 + d + b*q and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1146617 and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -14, -32, -52, -74?\n\"Answer: -d**2 - 15*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*v + 2205334 - 2205334.\nAnswer: -113*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - 2*c**2 - 1. Let m be x(2). Let l be 1 - (1 + -2 + m). Suppose -l*v + 18 = -v. Is 5 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (-12 - 16) - -7.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, p: 10}. What is prob of picking 1 p and 1 o?\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 21\/95 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-7 + -1) + (-12)\/16. Suppose -3*s + 0*s = 3*l - 27, 0 = -2*l - s + 19. Let k = l - b. Calculate the remainder when k is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1787 + -1702. What is the highest common factor of 55 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -296? (a) 0.05 (b) 2\/3 (c) 5 (d) -12 (e) 1 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 611244 is divided by 423.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -33 and -0.11.\nAnswer: -33.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 7*s**2 + 8*s - 1. Let m = 13 - 7. What are the prime factors of h(m)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**22*d**(-24)\/d assuming d is positive.\nAnswer: d**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -141*p + 147*p - 2 - 2*p**2 - p**3 + 18*p**2 as q + l*p + d*p**3 + y*p**2 and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -12.4. Let y be ((-4)\/5)\/(-2*(-15)\/(-50)). Which is the nearest to -1? (a) p (b) y (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.56 + 92.56. Let i = -162 + d. Let a = -68 - i. Put a, 5, -0.05, -3\/7 in decreasing order.\nAnswer: 5, a, -0.05, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 88*f*r*v + 3*f + 579*r*v + 2*r - 8830*v - 56 with respect to r.\nAnswer: 88*f*v + 579*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -k + 3*f - 2, -5*k - f = -33. Solve 18*l = k*l + 22 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1817 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -19261, -37743, -56225, -74707, -93189?\n\"Answer: -18482*i - 779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 29 - 17 - 8 - 27\/6. Suppose -3*y + 5 + 12 = s, -2*s = 3*y - 19. What is the nearest to r in 0.9, y, 2?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 17444 (base 9) in base 14?\nAnswer: 4552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 230 and 28011769?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2548 divided by -4?\nAnswer: -637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 124147144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (946\/817)\/(46\/(-3059)).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*l + 259*l - 2055658 - 2887172 = 0. What are the prime factors of l?\nAnswer: 5, 61, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (0 + (sqrt(252) - (sqrt(252) - (-4 + sqrt(252)))**2) - ((-5 + sqrt(252))**2 + 5)) + 3.\nAnswer: -290 + 66*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28172 is divided by 827?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54 - (-48 + (15 - -9))) + (1 - (1 - 9)).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - 5*y**2 + 2. Let c be t(5). Suppose 2*g + c*u = 84, -2*g - u = 4*u - 87. Suppose o = g + 6. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260 - 1940 = -15*t. Is 28 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 7*i**2 - 6*i + 6. Let x(f) = -91*f**2 + 77*f - 77. Let c(o) = -77*s(o) - 6*x(o). Let z(b) be the first derivative of b**3\/3 - 240. What is z(c(v))?\nAnswer: 49*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of 0*i**4 + 31*i + 1\/6*i**6 + 1\/4*i**5 + 0*i**2 + 0*i**3 + 0. Let m(d) = 0. What is d?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**3\/3 + 5750*i**2\/3 + 22874*i - 85890 = 0.\nAnswer: -2863, -15, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 3123648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 4 - 14 - 5*o - 12 + 2*o. Let r be c(-9). What is the derivative of 3*n + 7 + r*n + 4*n - 2 wrt n?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 7 + -10)\/(-1). Solve 13 = -2*p - v*o + o, 4*p - 5*o = 29 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 5, 573, -1\/2, 3.\nAnswer: -1\/2, 0.2, 3, 5, 573","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 355052877 is divided by 84.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 487*v + 1. Let o(r) = -486*r - 1. Calculate -3*o(m) - 2*q(m).\nAnswer: 484*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 22032\/(-72900) + (-4)\/(-18)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 + -18. Let d(s) = 0 + 19*s + 0*s - 1. What are the prime factors of d(f)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -924, -1834, -2744?\nAnswer: -3654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -67693, -67677, -67661, -67645, -67629, -67613?\n\"Answer: 16*u - 67709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of -3*i**5\/20 + i**3\/6 + i**2\/2 - i. Let c be q(3). Let t = 110 + c. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = -95*u - 120 + 1712 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**2 + 30*z - 6. Determine m(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g + 5. Calculate p(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*j**3 - 73*j**3 + 146*j**3.\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -27*t - 1. Let f be (-3 - (-3 + -2))*-2. Let s be 14\/(-4) - 6\/f. Is n(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at most as big as -110\/147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - -7. Solve 0 = 5*b + 5*n - 3*n + u, 0 = 5*n + 20 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.83 + -54.17. Let h = k + 73. Let y = h + -17.8. Which is the third smallest value? (a) y (b) 0.5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 7*a**3 - 2*a**2 - 2. Let l = 1132 + -1127. Let i(r) = -6*r**3 + 2*r**2 + 2. Determine l*q(s) + 6*i(s).\nAnswer: -s**3 + 2*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 10:23 PM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - 1 - (28 - 4019) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.4402 - -6.8812. Are p and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11.55 - 0.25. Let u = f + -10.3. Sort -0.5, u, -3\/2, -3.\nAnswer: -3, -3\/2, -0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6217666 and 14526?\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2. Let v(z) = -z**3 - 11*z**2 - 8*z + 21. Let i be v(-10). Suppose -5 = -3*w + i. Let g(n) = 2*n**2 - 10*n**w + 7*n**2. Calculate k(g(p)).\nAnswer: -p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27450 + -27410. Calculate the greatest common factor of 1740 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that m**4 - 167079*m**3 + 167077*m**2 + 167079*m - 167078 = 0.\nAnswer: -1, 1, 167078","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q - q - 6*q**2)*(-18*q - 50*q + 7*q - 1) to the form t*q**3 + f*q + r + o*q**2 and give t.\nAnswer: 366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 161*i**2 + 562 - 18*i - 316*i**2 - 120 + 157*i**2. What is the tens digit of w(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1484 (base 13) in base 2?\nAnswer: -101110100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3055 is divided by 85?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/16)*l**9*(l**(2\/3))**36 assuming l is positive.\nAnswer: l**(529\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dnd when three letters picked without replacement from nzjjzddzzdnzd?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**3 - 49*v**2 + 365*v + 6. Calculate d(11).\nAnswer: 754","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, s: 1, o: 2, n: 2, z: 1}. What is prob of sequence skn?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 116251 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.13, -0.099, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45 + 44.976. Let j = d + -3.976. Sort -0.3, -2\/3, j, 2\/3 in decreasing order.\nAnswer: 2\/3, -0.3, -2\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 10*k**2 + 11*k + 19. Let n(d) = -2*d**3 + 18*d**2 - 23*d - 39. Let u(v) = -7*l(v) - 3*n(v). Does 43 divide u(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 17\/5030309 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5947?\nAnswer: 19, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 1187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/60*48\/(-36).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15441255011 - -1?\nAnswer: -15441255010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2058 and 596778?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1450 - 1443 + 4326 - 1433 - 73*h**3.\nAnswer: -73*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -7.5. Let w be 3 + (-2 + -1)*(70\/(-15) - -4). Which is the nearest to 0? (a) w (b) -3\/7 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 460.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -644 times 58797\nAnswer: -37865268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*b - 3836 - 3375 + 7194.\nAnswer: -29*b - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 115887 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -213340?\nAnswer: -213334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43952 and 3280.\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -151*u**3 + 3*u**2 - 3*u**2 - 4*u**2 + 6*u**2 - 2 - 22*u**3 in the form z*u**3 + h*u + v*u**2 + g and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3462 and 272.\nAnswer: 470832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 + 4*k + 3. Let w be x(4). Let c(y) = -87*y - 2. Let r(a) = 523*a + 10. Let n(p) = -6*c(p) - r(p). Determine n(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 45293 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -19*c**3 - 2*c**2 + 5. Suppose -3*a = -4*r - 80, 7*r = 4*r - 4*a - 85. Let f = r + 21. Does 29 divide k(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/3 + 45227\/(-2769)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -21, -134, -449, -1068, -2093, -3626, -5769?\n\"Answer: -17*h**3 + h**2 + 3*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, a: 7}. What is prob of picking 3 f?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37 - -1. Suppose 4*h + 87 = -2*j + 159, -4*j + 128 = 4*h. Solve 5*t = g - j for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of h**4\/12 - h**3 + 6*h**2 - h. Calculate the remainder when 10 is divided by q(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 - 2)*(-346 + 243*s + 346 + (2 + 2 + 1)*(-4 + 3*s + 4)) in the form j*s + r and give j.\nAnswer: -516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*s**3 - 6*s**3 + 78*s**3.\nAnswer: 126*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005227 to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3219, -12869, -28991, -51597, -80699?\nAnswer: -116309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-66)\/(-726) - 252624\/(-22)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 22*n**2 + 2*n + 2. Let v(r) = -r. Let s be v(3). What is the hundreds digit of g(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**3 - 1104*y**2\/7 - 2673*y\/7 + 1350\/7 = 0. What is y?\nAnswer: -50, -3, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -3*(1 - (-162150)\/(-45))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 288112261 and 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80, 87, 98, 113, 132, 155, 182?\nAnswer: 213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a microgram in nanograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -2695 and -2696 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1873093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35 + 9. Let z(y) = y**2 + 14*y + 11. Let c be z(-9). Let t = c + s. Solve d + 1 = 2*q - 3*q, -t = 2*q for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/14 and -13\/11643066.\nAnswer: 81501462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of 5\/6*v**3 + 0 + v + 1\/2*v**2. Is 6 a factor of x(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 3*b**2 - 2*b - 8. Calculate l(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 10*b**2 - 9*b + 6. What is k(8)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2277, 4465, 6653, 8841?\n\"Answer: 2188*v + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus 1224.66?\nAnswer: -1224.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -464 times 1?\nAnswer: -464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93, 110, 165, 276, 461, 738?\nAnswer: 1125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 62*c + 372. Determine z(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 3:41 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5224, -5233, -5248, -5269, -5296, -5329, -5368?\n\"Answer: -3*a**2 - 5221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -51*s - 129. What are the prime factors of u(-79)?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 3:59 AM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 34 = -2*j, 11 = -3*j - 3*s + 32. Let a(i) = i**2 - i. Let o(r) = r**2 - 114 + 2*r**3 + 12*r - 11*r**2 + 116 - 2*r**2. Determine j*a(q) + o(q).\nAnswer: 2*q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -5. Let g(a) = -o*a + 1 + 3*a**2 + 4*a**3 + 5*a**2 - 3*a**3. Let m be g(-9). Solve 5*b - m = -11 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.036759? (a) 3 (b) 23 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -13. Suppose -6 = -r + v. Is 2 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 24*j - 18. Let x(m) = -3*m**2. Determine x(b(o)).\nAnswer: -1728*o**2 + 2592*o - 972","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-450)\/350 + 2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -6, -163, 23 in descending order.\nAnswer: 23, -4, -6, -163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g. Let z(k) = -4*k**2 + 347*k - 2. Determine z(o(h)).\nAnswer: -16*h**2 + 694*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3305 - -20?\nAnswer: 3325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(18) + sqrt(162)\/(sqrt(36)\/sqrt(4)))\/(sqrt(9) - (sqrt(1296)*2 + sqrt(9))).\nAnswer: -sqrt(2)\/12 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -17 + -180252?\nAnswer: -180269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41492879 is divided by 10373213?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = h - 5*h. Suppose h*q + w - 8 = 0, -w + 20 = 4*q + q. Suppose q*o + 102 = 6*o. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/20 of a kilogram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 594 a factor of 183458888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*j = -j + 27600. Does 50 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 6*b**2. Let y(n) = -85 + n**2 + 261 - 87 - 89. Determine y(o(s)).\nAnswer: 36*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -9*o - 3*h, o + 12 + 0 = -2*h for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3713 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**3 + 2*t**3 - 3*t**3)*(3 + 2*t**2 - 3) - 13*t**5 + 13168 - 13*t**4 - 13168.\nAnswer: -17*t**5 - 13*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -34, -22, 14, 80, 182?\nAnswer: 326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -97.3 * 8\nAnswer: -778.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 179, 369, 559, 749, 939, 1129?\n\"Answer: 190*s - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38539 + 38376. Are p and -176 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/4)\/((-78)\/16).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 137582 and 3.\nAnswer: 412746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.143 + 3.1. Let c = 0.042949 + w. Round c to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 98 and 9331.\nAnswer: 130634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2853 - -2852.7. Let a(u) = u**2 + 8*u - 17. Let p be a(-11). Sort p, -0.2, l in decreasing order.\nAnswer: p, -0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 3*i = -2*i - 123, -h + 5*i = -31. Calculate the remainder when h is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8726 is divided by 8684?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35013 - -36666. Solve 12 = -n*o + 1657*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/8*(-12)\/15?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 16\/3 + -2 + (-11 - -8)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -11.357123 times 0.5\nAnswer: -5.6785615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -17873600 divided by 1\nAnswer: -17873600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -12*q - 45. Calculate the least common multiple of a(-4) and 242.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7058998 nanometers to centimeters.\nAnswer: 0.00000007058998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.3 (b) -2 (c) 0.3 (d) -0.1 (e) -180\/61 (f) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*f + 2*f - 3*f)*((3*f + f - 2*f)*(-2 + 1 + 0) + 79028 + 131*f - 79028) to t*f + d*f**2 + j and give d.\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23.94 + 24. Let t = m + 1.94. What is the biggest value in t, -5, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l + 22*l = -232 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -16*-17*9\/(-102)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 + 17 + 24 + 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -85.8734675 take away -26.918?\nAnswer: -58.9554675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 53\/5 of a milligram?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 24 = 6. Let j be 5 - (24\/4 - f). Suppose h = -3*i - 4, -11 = -3*h + 5*i + 5. Solve j*u - u = h for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*n - 20. Let c be ((-160)\/35 - n\/14) + -1. What is the units digit of ((-3)\/c)\/(1 + 741\/(-744))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 96. Suppose -v*r - 86 = -99*r. What is the derivative of -9*c**3 + r - 66 - 5*c**3 wrt c?\nAnswer: -42*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8108524 is divided by 281?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*q**2 + 2*q**2 + 3*q**2 - 2)*(205*q - 375*q + 16*q) to the form d*q**3 + v + p*q**2 + r*q and give r.\nAnswer: 308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4611 - -4614. Let j(z) be the third derivative of 0*z**4 + 0 - 1\/30*z**6 + 0*z**5 + 0*z - 4\/3*z**f - 26*z**2. Differentiate j(i) with respect to i.\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 386 (base 14) to base 11.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-16)\/(-14))\/(4\/7). Let j = -149 - -271. Suppose -7*n + u*n = -3*i - 603, n = 2*i + j. Calculate the highest common factor of 15 and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, s: 5, r: 3, t: 2}. What is prob of picking 1 m, 1 s, and 1 t?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -0.2134, 2, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 0*u = 0. Let y = 18 - u. Suppose 0 = 4*k - k - y. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4388, 2, -4 in descending order.\nAnswer: 4388, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*q - 4*d, -3 = 2*q - 4*d + 1. Suppose -j - 4*v + 5 + 5 = 0, -2*v + 4 = q. Factor -f**j + 1\/2 + 1\/2*f.\nAnswer: -(f - 1)*(2*f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = 4*z - 9*z. Suppose 0 = -4*u + 2*d + 10, -2*u = -0*u - 3*d - 7. Solve -2*a = -5*j - z, -j + 2*a = -u*a + 20 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159 = 2*l + 5*x, -4*x + x - 63 = -l. Suppose -4*u + 20 = -l. Suppose 12 = -4*w + 5*w. Calculate the remainder when u is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 19, -29.91, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 116109?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.75476 centuries in months?\nAnswer: 11705.712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*a + 138 - 28*a + 2*a**2 - 2*a**3 - 2*a**2.\nAnswer: -2*a**3 + 3*a + 138","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -13*g**3 - 94*g**2 - 6*g + 117. What is a(-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 + 66908*x - 66908*x.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-1 - 2) + 1 + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2 + 4*v.\nAnswer: v*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2478665525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + 2*o - 7. Let t(d) = d**2 + d. Let h(v) = -n(v) - 2*t(v). Let a(z) = -6*z + 1. Let q be a(1). Determine h(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27740 to the power of 1\/2, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -18005342 + -1?\nAnswer: -18005343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -31, -50, -41, 8, 109, 274, 515?\n\"Answer: 2*l**3 + 2*l**2 - 39*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1*(sqrt(1700)*2*5)**2 + 0.\nAnswer: -169997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}